MathModDB Ontology and Knowledge Graph for Mathematical Models
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MathModDB Ontology and Knowledge Graph for Mathematical Models

Revision:
1.0.0
Issued on:
2025-02-13
Authors:
Aurela Shehu (https://orcid.org/0000-0002-1994-0612), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)
Björn Schembera (https://orcid.org/0000-0003-2860-6621), Universität Stuttgart (https://ror.org/04vnq7t77, https://isni.org/isni/0000000419369713)
Burkhard Schmidt (https://orcid.org/0000-0002-9658-499X), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)
Christine Biedinger (https://orcid.org/0009-0002-5082-8386), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)
Jochen Fiedler (https://orcid.org/0000-0002-9176-780X), Fraunhofer Institute for Industrial Mathematics ITWM (https://ror.org/019hjw009)
Marco Reidelbach (https://orcid.org/0000-0002-1919-1834), Zuse Institute Berlin (https://ror.org/02eva5865, https://isni.org/isni/000000011010926X)
Thomas Koprucki (https://orcid.org/0000-0001-6235-9412), Weierstrass Institute Berlin for Applied Analysis and Stochastics (https://ror.org/00h1x4t21, https://isni.org/isni/000000010066936X)
Publisher:
Mathematical Research Data Initiative (MaRDI, https://www.mardi4nfdi.de)
See also:
https://doi.org/10.1007/978-3-031-65990-4_14
https://doi.org/10.1007/978-3-031-81974-2_8
https://doi.org/10.52825/cordi.v1i.255
Download serialization:
JSON-LD RDF/XML N-Triples TTL
License:
https://creativecommons.org/licenses/by/4.0/
Visualization:
Visualize with WebVowl
Cite as:
Shehu, A., Schembera, B., Schmidt, B., Biedinger, C., Fiedler, J., Reidelbach, M., Koprucki, T. (2025): MathModDB Ontology and Knowledge Graph for Mathematical Models
Provenance of this page
Ontology Specification Draft

Abstract

MathModDB is a database of mathematical models developed by the Mathematical Research Data Initiative (MaRDI). MathModDB defines a data model with classes (Mathematical Model, Mathematical Formulation, Research Field, Research Problem, Quantity [Kind], Computational Task, Publication), object properties/relations, data properties and annotation properties as an ontology. This ontology is populated with individuals/data from various fields of applied mathematics, making it a knowledge graph.

Introduction back to ToC

Motivation & Introduction

Proper documentation and storage of research data, adhering to FAIR principles, are crucial for reproducibility and scientific integrity. Applied mathematics, producing diverse numerical and symbolic data, heavily relies on models that must be well-documented for replication and future use. Here, we present MathModDB, an ontology for mathematical models, along with a knowledge graph containing. The work is conducted within the NFDI project entitled Mathematical Research Data Initiative (MaRDI).

Structure

The ontology consists of the classes Mathematical Model, Mathematical Formulation, Computational Task, Quantity [Kind], Research Field and Research Problem. The structure of the ontology, in conjunction with the neighboring knowledge graph for mathematical algorithms MathAlgoDB is displayed in the image below:

Structure of MathModDB

The classes have the following semantics:
Mathematical Model A mathematical model for describing a part of the reality by means of abstraction and simplifying assumptions. The aim of modeling is to make a particular part or feature of the world easier to simulate, interpret and/or optimize based on existing knowledge.
Research Field A field of research (or academic discipline), e.g. Arts & Humanities, Life Sciences & Biomedicine, Physical & Natural Sciences or Engineering.
Research Problem A research problem (or research question) to be investigated, typically from a scientific or engineering application, i.e. a specific issue or gap in existing knowledge that you aim to address in your research.
Mathematical Formulation Typically, a mathematical formulation is based on equations (general construct indicating equality of quantities) or on inequalities (non-equal relations between quantities), or a logic quantifier
Quantity A quantity is a property of a system that can be measured or obtained from calculation/simulation. Can be a scalar, a vector, a matrix or a higher-order tensor. The overarching, abstract quantity in the QuantityKind class should be referenced if possible/applicable.
Quantity Kind The kind of quantity, e.g. the abstract, generalized concept of a quantity. Typically, it could be chosen from an established, controlled vocabulary of quantityKinds, such as QUDT, IEC, .... Note that the kind of a quantity cannot be generalized by another (kind of a) quantity.
Computational Task A specific computational task associated with a mathematical model. Typically, various tasks differ from each other by the choice of given quantities (input), unknown quantities (output), parameters or constants as well as boundary conditions, initial conditions and/or final conditions.
Publication A publication that reports original empirical and theoretical work in the sciences. This class is used as a proxy class to encode semantic information how a model, quantity, ... is surveyed, analysed, ... in a publication.

MathModDB Ontology: Overview back to ToC

This ontology has the following classes and properties.

Classes

Object Properties

Data Properties

Annotation Properties

Named Individuals

MathModDB Ontology: Description back to ToC

This is the MathModDB Ontology for documenting mathematical models.

Cross-reference for MathModDB Ontology classes, object properties and data properties back to ToC

This section provides details for each class and property defined by MathModDB Ontology.

Classes

Computational Taskc back to ToC or Class ToC

IRI: https://mardi4nfdi.de/mathmoddb#ComputationalTask

specific computational task associated with a mathematical model
is in domain of
approximated by op, approximates op, assumes op, contained in op, contains op, contains boundary condition op, contains constant op, contains constraint condition op, contains coupling condition op, contains final condition op, contains initial condition op, contains input op, contains objective op, contains output op, contains parameter op, described as documented by op, described as invented by op, described as studied by op, described as surveyed by op, described as used by op, described by op, discretized by op, discretizes op, is linear dp, linearized by op, linearizes op, similar to op, specialized by op, specializes op, uses op
is in range of
approximated by op, approximates op, assumed by op, contained as boundary condition in op, contained as constant in op, contained as constraint condition in op, contained as coupling condition in op, contained as final condition in op, contained as initial condition in op, contained as input in op, contained as objective in op, contained as output in op, contained as parameter in op, contained in op, contains op, describes op, describes documentation of op, describes invention of op, describes study of op, describes survey of op, describes use of op, discretized by op, discretizes op, linearized by op, linearizes op, similar to op, specialized by op, specializes op, used by op
has members
Balanced Truncation ni, Balanced Truncation (Bi-linear) ni, Balanced Truncation (Linear) ni, Calculation of Deformation and Concentration ni, Classical Time Evolution ni, Control System Time Evolution ni, Control System Time Evolution (Bi-linear) ni, Control System Time Evolution (Linear) ni, Denoising for Improved Parametric MRI of the Kidney ni, Extract Logical Rules ni, Far Field Radiation ni, Free Fall Determine Gravitation ni, Free Fall Determine Time ni, Free Fall Determine Velocity ni, H2 Optimal Approximation ni, H2 Optimal Approximation (Bi-linear) ni, H2 Optimal Approximation (Linear) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni, Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni, Linear Parameter Estimation of Enzyme Kinetics ni, Mathematical Analysis of DHW Equation ni, Maximizing Poisson log-Likelihood ni, Maximum Likelihood Estimation ni, Model Order Reduction ni, Near Field Radiation ni, Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni, Nonlinear Parameter Estimation of Enzyme Kinetics ni, Optimal Control ni, Parameter Estimation of Enzyme Kinetics ni, Quantum Conditional Quasi-Solvability ni, Quantum Stationary States ni, Quantum Time Evolution ni, Romanization Parameter Estimation ni, Romanization Time Evolution ni, Semiconductor Charge Neutrality ni, Semiconductor Current Voltage ni, Semiconductor Thermal Equilibrium ni, Sensitivity Analysis of Complex Kinetic Systems ni, Simulation of Complex Kinetic Systems ni, Simulation of TEM Images ni, Sorting Objects ni, Symmetry Analysis in TEM Images ni
is disjoint with
Mathematical Formulation c, Mathematical Model c, Publication c, Quantity c, Quantity Kind c, Research Field c, Research Problem c

Mathematical Formulationc back to ToC or Class ToC

IRI: https://mardi4nfdi.de/mathmoddb#MathematicalFormulation

typically, an equation (general construct indicating equality of quantities) or an inequality (non-equal relations between quantities), or a logic quantifier
is in domain of
approximated by op, approximates op, assumed by op, assumes op, contained as boundary condition in op, contained as constraint condition in op, contained as coupling condition in op, contained as final condition in op, contained as initial condition in op, contained in op, contains op, contains boundary condition op, contains constant op, contains constraint condition op, contains coupling condition op, contains final condition op, contains initial condition op, defining formulation dp, described as documented by op, described as invented by op, described as studied by op, described as surveyed by op, described as used by op, described by op, discretized by op, discretizes op, in defining formulation dp, is deterministic dp, is dimensionless dp, is dynamic dp, is linear dp, is space-continuous dp, is time-continuous dp, linearized by op, linearizes op, nondimensionalized by op, nondimensionalizes op, similar to op, specialized by op, specializes op
is in range of
approximated by op, approximates op, assumed by op, assumes op, contained as boundary condition in op, contained as constant in op, contained as constraint condition in op, contained as coupling condition in op, contained as final condition in op, contained as initial condition in op, contained in op, contains op, contains boundary condition op, contains constraint condition op, contains coupling condition op, contains final condition op, contains initial condition op, describes op, describes documentation of op, describes invention of op, describes study of op, describes survey of op, describes use of op, discretized by op, discretizes op, linearized by op, linearizes op, nondimensionalized by op, nondimensionalizes op, similar to op, specialized by op, specializes op
has members
Allee Effect ni, Ampere Law ni, Anharmonicity Constant (Perturbation Theory) ni, Attraction Force at Opinion Formulation ni, Average Opinion of Followers of Infuencers Formulation ni, Average Opinion of Followers of Infuencers in the Partial Mean Field Model Formulation ni, Average Opinion of Followers of Media Formulation ni, Average Opinion of Followers of Media in the Partial Mean Field Model Formulation ni, Balancing Transformation ni, Beavers–Joseph-Saffman Condition ni, Bi Bi Reaction Ordered Mechanism ODE System ni, Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni, Bi Bi Reaction Ping Pong Mechanism ODE System ni, Bi Bi Reaction Theorell-Chance Mechanism ODE System ni, Boltzmann Approximation for Electrons ni, Boltzmann Approximation for Holes ni, Boundary Conditions of Electrophysiological Muscle ODE System ni, Change in Opinions of Individuals ni, Change in Opinions of Influencers ni, Change in Opinions of Influencers in the Partial Mean Field Model ni, Change in Opinions of Media ni, Change in Opinions of Media in the Partial Mean Field Model ni, Classical Approximation ni, Classical Brownian Equation ni, Classical Fokker Planck Equation ni, Classical Hamilton Equations ni, Classical Hamilton Equations (Leap Frog) ni, Classical Langevin Equation ni, Classical Liouville Equation ni, Classical Newton Equation ni, Classical Newton Equation (Stoermer Verlet) ni, Closed System Approximation ni, Condition for Positive Solutions in the Multi-Population SI Model ni, Condition for Positive Solutions in the Multi-Population SIR Model ni, Condition for Positive Solutions in the Multi-Population SIS Model ni, Condition for Positive Solutions in the SIR Model ni, Condition for Positive Solutions in the SIR Model with Births and Deaths ni, Condition for Positive Solutions in the SIS Model ni, Condition for Positive Solutions in the SIS Model with Births and Deaths ni, Condition to Keep Susceptibles Positive ni, Conservation Law ni, Conservation of City Numbers ni, Constant Population Size ni, Contact Network Constraint ni, Continuity Equation ni, Continuity Equation for Electrons ni, Continuity Equation for Electrons (Finite Volume) ni, Continuity Equation for Holes ni, Continuity Equation for Holes (Finite Volume) ni, Continuity of the Normal Mass Flux ni, Continuity of the Normal Stresses ni, Continuous Rate of Change of Infectious in the SI Model ni, Continuous Rate of Change of Infectious in the SIR Model ni, Continuous Rate of Change of Infectious in the SIS Model ni, Continuous Rate of Change of Removed in the SIR Model ni, Continuous Rate of Change of Susceptibles in the SI Model ni, Continuous Rate of Change of Susceptibles in the SIR Model ni, Continuous Rate of Change of Susceptibles in the SIS Model ni, Control System Initial (Reduced) ni, Control System Input Bilinear ni, Control System Input Bilinear (Reduced) ni, Control System Input Linear ni, Control System Input Linear (Reduced) ni, Control System Output Linear ni, Control System Output Linear (Reduced) ni, Control System Output Quadratic ni, Control System Output Quadratic (Reduced) ni, Coulomb Friction Condition Between Two Particles ni, Creeping Flow Assumption ni, Darcy Equation ni, Darcy Equation (Euler Backward) ni, Darcy Equation (Finite Volume) ni, Darwin-Howie-Whelan Equation for a Strained Crystal ni, Darwin-Howie-Whelan Equation for an Unstrained Crystal ni, Detailed Balance Principle ni, Dirichlet Boundary Condition ni, Dirichlet Boundary Condition for Electric Potential ni, Dirichlet Boundary Condition for Electron Fermi Potential ni, Dirichlet Boundary Condition for Hole Fermi Potential ni, Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni, Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni, Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni, Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni, Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption) ni, Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni, Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni, Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni, Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni, Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni, Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni, Electrophysiological Muscle ODE System ni, Empirical Distribution of Individuals Formulation ni, Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni, Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni, Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni, Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni, Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction) ni, Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni, Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni, Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni, Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni, Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni, Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni, Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni, Enzyme Concentration ODE (Bi Bi Reaction Ordered) ni, Enzyme Concentration ODE (Bi Bi Reaction Ping Pong) ni, Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance) ni, Enzyme Concentration ODE (Uni Uni Reaction) ni, Enzyme Conservation ni, Equilibrium Constant (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni, Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Euler Backward Method ni, Euler Forward Method ni, Euler Method ni, Faraday Law ni, Fick Equation ni, Finite Volume Method ni, Fourier Equation ni, Fraction of Population Density of Exposed Formulation ni, Fraction of Population Density of Infectious Formulation ni, Fraction of Population Density of Susceptibles Formulation ni, Free Fall Equation (Air Drag) ni, Free Fall Equation (Non-Uniform Gravitation) ni, Free Fall Equation (Vacuum) ni, Free Fall Initial Condition ni, Gamma-Gompertz–Makeham Law ni, Gauss Law (Electric Field) ni, Gauss Law (Magnetic Field) ni, Gompertz Law ni, Gompertz–Makeham Law ni, Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption) ni, Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni, Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni, Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni, Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni, Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni, Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni, Hill-Type Two-Muscle-One-Tendon ODE System ni, Homogeneous Neumann Boundary Conditions ni, Hooke Law (Linear Elasticity) ni, Hooke Law (Spring) ni, Infectious at Time Step n+1 in the Multi-Population SI Model ni, Infectious at Time Step n+1 in the Multi-Population SIR Model ni, Infectious at Time Step n+1 in the Multi-Population SIS Model ni, Infectious at Time Step n+1 in the SI Model ni, Infectious at Time Step n+1 in the SIR Model ni, Infectious at Time Step n+1 in the SIR Model with Births and Deaths ni, Infectious at Time Step n+1 in the SIS Model ni, Infectious at Time Step n+1 in the SIS Model with Births and Deaths ni, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Initial Classical Density ni, Initial Classical Momentum ni, Initial Classical Position ni, Initial Classical Velocity ni, Initial Condition for the Continuous SI Model and SIS Model ni, Initial Condition for the Continuous SIR Model ni, Initial Condition for the Discrete SI Model ni, Initial Condition for the Discrete SIR Model with and without Births and Deaths ni, Initial Condition for the Multi-Population SI Model ni, Initial Condition for the Multi-Population SIR Model ni, Initial Condition for the Multi-Population SIS Model ni, Initial Control State ni, Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni, Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model) ni, Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni, Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni, Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with Single Central Compelx - ODE Model) ni, Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni, Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni, Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni, Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni, Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni, Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) ni, Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) ni, Initial Inhibitor Concentration (Uni Uni Reaction) ni, Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni, Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni, Initial Number of Infected Cities ni, Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni, Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni, Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni, Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni, Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ni, Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni, Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni, Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni, Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model) ni, Initial Product Concentration (Uni Uni Reaction - ODE Model) ni, Initial Product Concentration (Uni Uni Reaction with Product) ni, Initial Product Concentration (Uni Uni Reaction without Product) ni, Initial Quantum Density ni, Initial Quantum State ni, Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni, Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni, Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni, Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni, Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni, Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni, Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni, Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni, Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni, Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni, Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni, Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni, Initial Substrate Concentration (Uni Uni Reaction) ni, Initial Value for Electron Scattering ni, Integral of the Population Density Fraction of Exposed (Initial Condition) ni, Integral of the Population Density Fraction of Infectious (Initial Condition) ni, Integral of the Population Density Fraction of Susceptibles (Initial Condition) ni, Integral of the Total Population Density (Initial Condition) ni, Interaction Force on an Individual ni, Interaction Weight Between Individuals ni, Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni, Intermediate Concentration ODE (Bi Bi Reaction Ping Pong) ni, Irreversibility Assumption ni, Isotropic Gaussian Function Formulation ni, Laplace Equation for the Electric Potential ni, Limiting Distribution of Individuals Formulation ni, Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex) ni, Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ni, Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni, Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni, Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni, Line Concept ni, Line Concept Costs ni, Line Costs Computation ni, Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption) ni, Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni, Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni, Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni, Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni, Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni, Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni, Liouville-von Neumann Equation ni, Logical Rule Extraction Formulation ni, Lorentz Force Equation (Non-Relativistic) ni, Lorentz Force Equation (Relativistic) ni, Loss Function Minimization ni, Lyapunov Equation ni, Lyapunov Equation Controllability ni, Lyapunov Equation Observability ni, Lyapunov Generalized Controllability ni, Lyapunov Generalized Observability ni, Mass Action Law ni, Mass Balance Law ni, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni, Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni, Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni, Molecular Alignment ni, Molecular Orientation ni, Momentum Balance Equation ni, Monodomain Equation for Action Potential Propagation ni, Motor Neuron Pool ODE System ni, Navier Stokes Equation ni, Neumann Boundary Condition ni, Neumann Boundary Condition (Stress-Free Relaxation) ni, Neumann Boundary Condition for Electric Potential ni, Neumann Boundary Condition for Electron Fermi Potential ni, Neumann Boundary Condition for Hole Fermi Potential ni, Neumann Boundary Condition for SEIR Model ni, Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni, Non-Local Means ni, Nonrelativistic Approximation ni, Normal Interaction Force of Two Particles ni, Number of Exposed Individuals Formulation ni, Number of Individuals Tends to Infinity Assumption ni, Number of Susceptible Individuals Formulation ni, Object Cluster Formulation ni, Object Committor Function Formulation ni, Object Commonality Formulation ni, Object Comparison Formulation ni, Object Rating Formulation ni, Object Rating Matrix Decomposition (Schur) ni, Ohm Equation ni, Optimal Control Backward ni, Optimal Control Constraint ni, Optimal Control Final ni, Optimal Control Forward ni, Optimal Control Initial ni, Optimal Control Update ni, Overall Distribution of Individuals Formulation ni, Pair Function Assumption ni, Periodic Boundary Condition for Electric Potential ni, Periodic Boundary Conditions ni, Poisson Equation for the Electric Potential ni, Poisson Equation for the Electric Potential (Finite Volume) ni, Poisson log-Likelihood ni, Poisson-Distributed Deaths ni, Poro-Visco-Elastic (Dirichlet Boundary) ni, Poro-Visco-Elastic (Neumann Boundary) ni, Poro-Visco-Elastic Diffusion Boundary Condition ni, Poro-Visco-Elastic Diffusion Equation ni, Poro-Visco-Elastic Quasistatic Equation ni, Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni, Product 1 Concentration ODE (Bi Bi Reaction Ordered) ni, Product 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni, Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni, Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni, Product 2 Concentration ODE (Bi Bi Reaction Ordered) ni, Product 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni, Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni, Product Concentration ODE (Uni Uni Reaction) ni, Public Transportation Network ni, Quantum Eigen Energy (Anharmonic) ni, Quantum Eigen Energy (Harmonic) ni, Quantum Eigen Energy (Intermolecular) ni, Quantum Eigen Energy (Linear Non-Rigid Rotor) ni, Quantum Eigen Energy (Linear Rigid Rotor) ni, Quantum Hamiltonian (Electric Charge) ni, Quantum Hamiltonian (Electric Dipole) ni, Quantum Hamiltonian (Electric Polarizability) ni, Quantum Hamiltonian (Linear Rotor) ni, Quantum Hamiltonian (Non-Rigid Rotor) ni, Quantum Hamiltonian (Normal Mode) ni, Quantum Hamiltonian (Normal Mode, Anharmonic) ni, Quantum Hamiltonian (Normal Mode, Harmonic) ni, Quantum Hamiltonian (Normal Mode, Intermolecular) ni, Quantum Hamiltonian (Symmetric Top) ni, Quantum Lindblad Equation ni, Rapid Equilibrium Assumption ni, Rate of Change of Population Density Fraction of Exposed PDE ni, Rate of Change of Population Density Fraction of Infectious PDE ni, Rate of Change of Population Density Fraction of Removed PDE ni, Rate of Change of Population Density Fraction of Susceptibles PDE ni, Rate of Switching Influencers Formulation ni, Removed at Time Step n+1 in the Discrete SIR Model ni, Removed at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni, Removed at Time Step n+1 in the Multi-Population Discrete SIR Model ni, Runge–Kutta Method ni, SEIR Derivative Relation ni, Schrödinger Equation (Chebychev Polynomial) ni, Schrödinger Equation (Differencing Scheme) ni, Schrödinger Equation (Lie-Trotter) ni, Schrödinger Equation (Second Order Differencing) ni, Schrödinger Equation (Split Operator) ni, Schrödinger Equation (Strang-Marchuk) ni, Schrödinger Equation (Time Dependent) ni, Schrödinger Equation (Time Independent) ni, Schrödinger-Newton Equation ni, Second Condition for Positive Solutions in the Multi Population SIS Model ni, Second Condition for Positive Solutions in the SIR Model with Births and Deaths ni, Second Condition for Positive Solutions in the SIS Model ni, Second Condition for Positive Solutions in the SIS Model with Births and Deaths ni, Sensory Organ Equation ni, Solar System Equations of Motion ni, Spherical Harmonics Expansion (3D) ni, Spreading Curve (Approximate, Formulation) ni, Spreading Rate (Time-Dependent) Constraint ni, Stability Autonomous System ni, Steady State Assumption ni, Stokes Darcy Coupling Conditions ni, Stokes Darcy Equation (Discretized, pv) ni, Stokes Darcy Equation (Discretized, td) ni, Stokes Equation ni, Stokes Equation (Euler Backward) ni, Stokes Equation (Finite Volume) ni, Subcellular DAE System ni, Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni, Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni, Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni, Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni, Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni, Substrate 2 Concentration ODE (Bi Bi Reaction Ordered) ni, Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni, Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni, Substrate Concentration ODE (Uni Uni Reaction) ni, Susceptible Cities ODE ni, Susceptible Infectious Epidemic Spreading ODE System ni, Susceptibles at Time Step n +1 in the Discrete Multi Population SI Model ni, Susceptibles at Time Step n +1 in the Discrete Multi Population SIR Model ni, Susceptibles at Time Step n +1 in the Discrete Multi Population SIS Model ni, Susceptibles at Time Step n+1 in the Discrete SI Model ni, Susceptibles at Time Step n+1 in the Discrete SIR Model ni, Susceptibles at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni, Susceptibles at Time Step n+1 in the Discrete SIS Model ni, Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deaths ni, Sylvester Equation ni, Sylvester Equation Controllability ni, Sylvester Equation Observability ni, Sylvester Generalized Controllability ni, Sylvester Generalized Observability ni, Tangential Interaction Force of Two Particles ni, Time Independence of Hamiltonian ni, Torque of Particle ni, Total Population Density Formulation ni, Transport Equation ni, Uni Uni Reaction ODE System ni, Uniform Gravitational Acceleration ni, Vanishing Air Density ni, Vanishing Drag Coefficient ni, Vibrational Frequency Shift (1st Order) ni, Vibrational Frequency Shift (2nd Order) ni
is disjoint with
Computational Task c, Mathematical Model c, Publication c, Quantity c, Quantity Kind c, Research Field c, Research Problem c

Mathematical Modelc back to ToC or Class ToC

IRI: https://mardi4nfdi.de/mathmoddb#MathematicalModel

a mathematical model for describing a part of the reality by means of abstraction and simplifying assumptions
is in domain of
approximated by op, approximates op, assumes op, contained in op, contains op, contains boundary condition op, contains constraint condition op, contains coupling condition op, contains final condition op, contains initial condition op, described as documented by op, described as invented by op, described as studied by op, described as surveyed by op, described as used by op, described by op, discretized by op, discretizes op, is deterministic dp, is dimensionless dp, is dynamic dp, is linear dp, is space-continuous dp, is time-continuous dp, linearized by op, linearizes op, models op, similar to op, specialized by op, specializes op, used by op
is in range of
approximated by op, approximates op, assumed by op, contained as boundary condition in op, contained as constraint condition in op, contained as coupling condition in op, contained as final condition in op, contained as initial condition in op, contained in op, contains op, describes op, describes documentation of op, describes invention of op, describes study of op, describes survey of op, describes use of op, discretized by op, discretizes op, linearized by op, linearizes op, modeled by op, similar to op, specialized by op, specializes op, uses op
has members
Action Potential Propagation Model ni, Artificial Neural Network ni, Bi Bi Reaction Ordered Mechanism (ODE Model) ni, Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni, Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni, Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni, Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni, Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni, Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni, Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni, Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni, Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni, Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni, Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni, Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni, Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni, Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni, Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni, Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni, Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni, Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni, Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni, Charge Transport Model ni, Classical Brownian Model ni, Classical Dynamics Model ni, Classical Fokker Planck Model ni, Classical Langevin Model ni, Continuous Susceptible Infectious Model ni, Continuous Susceptible Infectious Removed Model ni, Continuous Susceptible Infectious Susceptible Model ni, Control System Model ni, Control System Model (Bilinear) ni, Control System Model (Linear) ni, Darcy Model ni, Darcy Model (Discretized) ni, Diffusion Model ni, Discrete Element Method ni, Discrete Susceptible Infectious Model ni, Discrete Susceptible Infectious Removed Model ni, Discrete Susceptible Infectious Susceptible Model ni, Drift-Diffusion Model ni, Dynamical Electron Scattering Model ni, Electron Shuttling Model ni, Electrophysiological Muscle Model ni, Feedforward Neural Network ni, Free Fall Model (Air Drag) ni, Free Fall Model (Non-Uniform Gravitation) ni, Free Fall Model (Vacuum) ni, Gamma-Gompertz-Makeham Model ni, Gaussian Noise Model ni, Heat Conduction Model ni, Hill-Type Two-Muscle-One-Tendon Model ni, Linear Discrete Element Method ni, Linear Rotor ni, Linear Rotor (Apolar) ni, Linear Rotor (Combined) ni, Linear Rotor (Non-Rigid) ni, Linear Rotor (Polar) ni, Lorentz Force Model (Non-Relativistic) ni, Lorentz Force Model (Relativistic) ni, Loss Function Model ni, Maxwell Equations Model ni, Motor Neuron Pool Model ni, Multi-Population Discrete Susceptible Infectious Model ni, Multi-Population Discrete Susceptible Infectious Removed Model ni, Multi-Population Discrete Susceptible Infectious Susceptible Model ni, Multipolar Expansion Model (3D) ni, Normal Modes ni, Normal Modes (Anharmonic) ni, Normal Modes (Harmonic) ni, Normal Modes (Intermolecular) ni, Object Comparison Model ni, Opinion Model with Influencers and Media ni, PDE SEIR Model ni, Partial Mean Field Opinion Model ni, Poro-Visco-Elastic Model ni, Quantum Classical Model ni, Quantum Model (Closed System) ni, Quantum Model (Open System) ni, Recurrent Neural Network ni, Recurrent Neural Network Surrogate for Discrete Element Method ni, Scharfetter-Gummel Scheme ni, Sensory Organ Model ni, Solar System Model ni, Stokes Darcy Model ni, Stokes Darcy Model (Discretized) ni, Stokes Model ni, Stokes Model (Discretized) ni, Subcellular Model ni, Susceptible Infectious Epidemic Spreading Model ni, Susceptible Infectious Removed Model with Births and Deaths ni, Susceptible Infectious Susceptible Model with Births and Deaths ni, Symmetric Top (Combined) ni, Transport Model ni, Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni, Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni, Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni, Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni, Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni, Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni, Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni, Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni, Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni, Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni, Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni, Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni, Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni, Uni Uni Reaction (ODE Model) ni, Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni, Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni, Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni, Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni, Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni, Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni, Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni, Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni, Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni, Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni, Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni, Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni, Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni, Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni, Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni, Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni, Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni, Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni, Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni, Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni, Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni, Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni, Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni, Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is disjoint with
Computational Task c, Mathematical Formulation c, Publication c, Quantity c, Quantity Kind c, Research Field c, Research Problem c

Publicationc back to ToC or Class ToC

IRI: https://mardi4nfdi.de/mathmoddb#Publication

publication that reports original empirical and theoretical work in the sciences
is in domain of
describes op, describes documentation of op, describes invention of op, describes study of op, describes survey of op, describes use of op
is in range of
described as documented by op, described as invented by op, described as studied by op, described as surveyed by op, described as used by op, described by op
has members
Allen (1993) Some Discrete-Time SI, SIR and SIS Epidemic Models ni, Bisswanger (2017) Enzyme Kinetics ni, Briggs (1925) A note on the kinetics of enzyme action ni, Cundall (1979) A discrete numerical model for granular assemblies ni, Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine ni, Ermoneit (2023) Optimal control of conveyor-mode spin-qubit shuttling in a Si/SiGe quantum bus in the presence of charged defects ni, Gattermann (2017) Line pool generation ni, Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley ni, Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategies ni, Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics ni, Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni, Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction ni, Koprucki (2017) Numerical methods for drift-diffusion models ni, Kostré (2022) Understanding the romanization spreading on historical interregional networks in Northern Tunisia ni, Leskovac (2003) Comprehensive Enzyme Kinetics ni, Lineweaver (1934) The Determination of Enzyme Dissociation Constants ni, Michaelis (1913) Die Kinetik der Invertinwirkung ni, Oosterhout (2024) Finite-strain poro-visco-elasticity with degenerate mobility ni, Slyke (1914) The mode of action of urease and of enzymes in general ni, Suan (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolution ni, Sylvester (1884) Sur léquations en matrices px = xq ni, Weber (2022) The Mathematics of Comparing Objects ni
is disjoint with
Computational Task c, Mathematical Formulation c, Mathematical Model c, Quantity c, Quantity Kind c, Research Field c, Research Problem c

Quantityc back to ToC or Class ToC

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property of a system that can be measured or obtained from calculation/simulation
has sub-classes
Quantity Kind c
is in domain of
approximated by op, approximates op, contained as constant in op, contained as input in op, contained as objective in op, contained as output in op, contained as parameter in op, contained in op, contains op, defining formulation dp, described as documented by op, described as invented by op, described as studied by op, described as surveyed by op, described as used by op, described by op, in defining formulation dp, is chemical constant dp, is deterministic dp, is dimensionless dp, is dynamic dp, is linear dp, is mathematical constant dp, is physical constant dp, is space-continuous dp, is time-continuous dp, linearized by op, linearizes op, nondimensionalized by op, nondimensionalizes op, similar to op, specialized by op, specializes op
is in range of
approximated by op, approximates op, contained in op, contains op, contains constant op, contains input op, contains objective op, contains output op, contains parameter op, describes op, describes documentation of op, describes invention of op, describes study of op, describes survey of op, describes use of op, linearized by op, linearizes op, nondimensionalized by op, nondimensionalizes op, similar to op, specialized by op, specializes op
has members
Active Contractile Force ni, Adjacency Matrix ni, Age of an Individual ni, Allee Threshold ni, Amplitude of Electron Wave ni, Anharmonicity Constant ni, Applied External Voltage ni, Area of Image ni, Asymptomatic Infection Rate ni, Asymptomatic Recovery Rate ni, Attraction Force at Opinion ni, Average Opinion of Followers of Influencers ni, Average Opinion of Followers of Influencers in the Partial Mean Field Model ni, Average Opinion of Followers of Media ni, Average Opinion of Followers of Media in the Partial Mean Field Model ni, Band Edge Energy for Conduction Band ni, Band Edge Energy for Valence Band ni, Beavers-Joseph Coefficient ni, Between Population Contact Rate ni, Binary Decision Variable ni, Birth Rate ni, Boltzmann Constant ni, Boolean Ring ni, Center of Mass ni, Center of Province ni, Centrifugal Distortion Constant ni, Change In Length ni, Characteristic Length ni, Chemical Potential ni, Classical Acceleration ni, Classical Density (Phase Space) ni, Classical Force ni, Classical Hamilton Function ni, Classical Momentum ni, Classical Position ni, Classical Velocity ni, Coefficient Scaling Infectious to Exposed ni, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni, Complexed Enzyme Concentration ni, Contact Network ni, Contact Network (Time-dependent) ni, Contact Point Of Particles ni, Contact Rate ni, Contact Rate Between Two Groups ni, Control System Duration ni, Control System Initial ni, Control System Input ni, Control System Lagrange Multiplier ni, Control System Matrix A ni, Control System Matrix A (Reduced) ni, Control System Matrix B ni, Control System Matrix B (Reduced) ni, Control System Matrix C ni, Control System Matrix C (Reduced) ni, Control System Matrix D ni, Control System Matrix D (Reduced) ni, Control System Matrix N ni, Control System Matrix N (Reduced) ni, Control System Output ni, Control System State ni, Control System State (Reduced) ni, Control Volume ni, Coriolis Coupling Constant ni, Costs of Line Concept ni, Costs per Unit ni, Coupling Current ni, Cross Section ni, Current Density ni, Current Procedural Terminology ni, Damping Coefficient ni, Death Count ni, Density Fraction Coefficient ni, Density of Air ni, Density of Electrons ni, Density of Holes ni, Density of States for Conduction Band ni, Density of States for Valence Band ni, Diffusion Coefficient ni, Diffusion Coefficient for SEIR Model ni, Diffusion Flux ni, Dirac Delta Distribution ni, Displacement ni, Displacement Muscle Tendon ni, Displacement of Atoms ni, Dissociation Constant ni, Doping Profile ni, Drag Coefficient ni, Drift (Velocity) ni, Duration ni, Duration per Unit ni, Earth Mass ni, Earth Radius ni, Edges ni, Effective Conductivity ni, Effective Mass ni, Effective Mass (Solid-State Physics) ni, Effective Mass (Spring-Mass System) ni, Eigenstress of Crystal ni, Elastic Stiffness Tensor ni, Electric Charge Density ni, Electric Current Density ni, Electric Current Density of Electrons ni, Electric Current Density of Holes ni, Electric Potential ni, Electric Potential Fourier Coefficients ni, Electrode Interfaces ni, Electron Mass ni, Elementary Charge ni, Empirical Distribution of Individuals ni, Enzyme - Product 1 - Product 2 Complex Concentration ni, Enzyme - Product 1 Complex Concentration ni, Enzyme - Product 2 Complex Concentration ni, Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration ni, Enzyme - Substrate 1 - Substrate 2 Complex Concentration ni, Enzyme - Substrate 1 Complex Concentration ni, Enzyme Concentration ni, Enzyme-Substrate Complex Concentration ni, Equilibrium Constant ni, Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni, Euler Number ni, Excitation Error ni, Expectation Value (Quantum Density) ni, Expectation Value (Quantum State) ni, Exposure of an Individual ni, External Chemical Potential ni, External Force Density ni, Extrinsic Mortality ni, Fermi Potential for Electrons ni, Fermi Potential for Holes ni, Fiber Contraction Velocity ni, Fiber Stretch ni, Filtered Value of Image ni, Fixed Costs ni, Fluid Density ni, Fluid Dynamic Viscosity (Free Flow) ni, Fluid Dynamic Viscosity (Porous Medium) ni, Fluid Intrinsic Permeability (Porous Medium) ni, Fluid Kinematic Viscosity (Free Flow) ni, Fluid Pressure (Free Flow) ni, Fluid Pressure (Porous Medium) ni, Fluid Velocity (Free Flow) ni, Fluid Velocity (Porous Medium) ni, Fluid Viscous Stress ni, Flux of Electrons ni, Flux of Holes ni, Force Constant (Anharmonic) ni, Force Density ni, Fraction of Population Density of Exposed ni, Fraction of Population Density of Infectious ni, Fraction of Population Density of Removed ni, Fraction of Population Density of Susceptibles ni, Free Energy Density ni, Free Fall Height ni, Free Fall Impact Time ni, Free Fall Impact Velocity ni, Free Fall Initial Height ni, Free Fall Initial Velocity ni, Free Fall Mass ni, Free Fall Terminal Velocity ni, Free Fall Time ni, Free Fall Velocity ni, Friction Coefficient ni, Gaussian Distribution ni, Gramian Generalized Controllability ni, Gramian Generalized Observability ni, Gramian Matrix ni, Gramian Matrix Controllability ni, Gramian Matrix Observability ni, Graph Type Identifier ni, Gravitational Acceleration (Earth Surface) ni, Gravitational Constant ni, Gröbner Basis ni, Hankel Singular Value ni, Heat Flux ni, Heterogeneity of Death Rate ni, Hydraulic Conductivity ni, Hyperstress Potential ni, Ideal ni, Identity Function ni, Imaginary Unit ni, Individual Relationship Matrix ni, Inertia Parameter for Opinion Changes of Influencers ni, Inertia Parameter for Opinion Changes of Media ni, Infected Recovery Rate ni, Infectious ni, Influencer Individual Matrix ni, Inhibition Constant ni, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni, Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni, Inhibitor Concentration ni, Initial Control State (Reduced) ni, Initial Reaction Rate ni, Interaction Force ni, Interaction Weight ni, Intermediate - Substrate 2 Complex Concentration ni, Intermediate Concentration ni, Intermolecular Potential ni, Ion Current ni, Isotropic Gaussian Function ni, Lagrange Multiplier ni, Length of Unit Cell ni, Level of Mortality ni, Likelihood Value ni, Limiting Distribution of Individuals ni, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni, Limiting Reaction Rate (Uni Uni Reaction - Backward) ni, Limiting Reaction Rate (Uni Uni Reaction - Forward) ni, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni, Linear Strain ni, Link Recommendation Function ni, Loss Function (Romanization) ni, Lumped Activation Parameter ni, MOR Transformation Matrix ni, Material Density ni, Material Point Acceleration ni, Material Point Displacement ni, Material Point Velocity ni, Maximal Object Descriptiveness Rating ni, Maximum Isometric Muscle Force ni, Mechanical Deformation (Boundary Value) ni, Medium Follower Matrix ni, Medium Influencer Fraction ni, Medium Influencer Fraction Limit ni, Membrane Capacitance ni, Michaelis Constant ni, Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni, Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni, Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni, Mobility of Electrons ni, Mobility of Holes ni, Molecularity ni, Muscle Contraction Velocity ni, Muscle Length ni, Muscle Spindle Firing Rate ni, Neural Firing Rate ni, Neural Input ni, Nodes ni, Noise Strength ni, Normal Mode Coordinate ni, Normal Mode Coordinate (Dimensionless) ni, Normal Mode Momentum ni, Normal Mode Momentum (Dimensionless) ni, Normal Stiffness ni, Normal Stress ni, Normalization Image Processing ni, Number of Cities ni, Number of Exposed Individuals ni, Number of Infected Cities ni, Number of Infectious Individuals ni, Number of Object Properties ni, Number of Objects ni, Number of Occurrences ni, Number of Particles ni, Number of Regions ni, Number of Removed Individuals ni, Number of Spindles ni, Number of Susceptible Cities ni, Number of Susceptible Individuals ni, Number of Time Points ni, Object Cluster Matrix ni, Object Committor Functions ni, Object Commonality Matrix ni, Object Property ni, Object Rating Matrix ni, Opinion ni, Opinion Vector of Individuals ni, Opinion Vector of Influencers ni, Opinion Vector of Media ni, Optimal Control Cost ni, Optimal Control Penalty Factor ni, Optimal Control Target ni, Orthogonal Matrix ni, Overall Distribution of Individuals ni, PTN Line ni, Pair Function ni, Parameter to Scale Attractive Force from Influencers ni, Parameter to Scale Attractive Force from Media ni, Parameter to Scale Attractive Force from Other Individuals ni, Particle Flux Density ni, Particle Mass ni, Particle Number Density ni, Particle Position ni, Particle Radius ni, Particle Velocity ni, Passive Muscle Force ni, Passive Muscle Strain ni, Passive Tendon Force ni, Period Length ni, Permeability (Vacuum) ni, Permittivity (Dielectric) ni, Permittivity (Relative) ni, Permittivity (Vacuum) ni, Pi Number ni, Planck Constant ni, Poisson Distribution ni, Population Density ni, Power Set ni, Probability Distribution ni, Product 1 Concentration ni, Product 2 Concentration ni, Product Concentration ni, Proton Electron Mass Ratio ni, Proton Mass ni, Quantile Function of the Beta Distribution ni, Quantum Angular Momentum Operator ni, Quantum Damping Rate ni, Quantum Density Operator ni, Quantum Eigen Energy ni, Quantum Hamiltonian Operator ni, Quantum Jump Operator ni, Quantum Kinetic Operator ni, Quantum Mechanical Operator ni, Quantum Momentum Operator ni, Quantum Number ni, Quantum Potential Operator ni, Quantum State Vector ni, Quantum State Vector (Dynamic) ni, Quantum State Vector (Stationary) ni, Rate of Aging ni, Rate of Becoming Infectious ni, Rate of Change of Susceptible Cities ni, Rate of Switching Influencers ni, Reaction Rate ni, Reaction Rate Constant ni, Reaction Rate of Enzyme ni, Reaction Rate of Enzyme - Product 1 - Product 2 Complex ni, Reaction Rate of Enzyme - Product 1 Complex ni, Reaction Rate of Enzyme - Product 2 Complex ni, Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex ni, Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex ni, Reaction Rate of Enzyme - Substrate 1 Complex ni, Reaction Rate of Intermediate ni, Reaction Rate of Intermediate - Substrate 2 Complex ni, Reaction Rate of Product 1 ni, Reaction Rate of Product 2 ni, Reaction Rate of Substrate 1 ni, Reaction Rate of Substrate 2 ni, Reciprocal Lattice ni, Reciprocal Lattice Vectors ni, Recombination of Electron Hole Pairs ni, Region ni, Region Connectivity ni, Relative Removal Rate ni, Relativistic Momentum ni, Removed ni, Reynolds Number ni, Right Hand Side Of Differential Equation ni, Risk of Death ni, Romanized Cities Vector ni, Rotational Constant ni, Scaling Parameter for Switching Influencers ni, Second Eigenvalue of Orthogonal Matrix ni, Sensory Organ Current ni, Spatial Variable ni, Speed of Light ni, Spreading Curve (Approximate) ni, Spreading Rate (Time-dependent) ni, Spring Constant ni, State Variable ni, State Vector ni, Stress Free Muscle Length ni, Stress Free Tendon Length ni, Stress Tensor (Cauchy) ni, Stress Tensor (Piola-Kirchhoff) ni, Stress of Crystal ni, Substrate 1 Concentration ni, Substrate 2 Concentration ni, Substrate Concentration ni, Surface Force Density ni, Susceptibles ni, Symptomatic Infection Rate ni, Tangential Stiffness ni, Tendon Length ni, Tendon Strain ni, Thermal Conductivity ni, Time Point ni, Time Step ni, Total Number of Individuals ni, Total Population Density ni, Total Population Size ni, Transmembrane Potential ni, Transport Route ni, Turn Over Time ni, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni, Unfiltered Value of Image ni, Unit Normal Vector ni, Unit Outer Normal Vector ni, Unit Tangent Vector ni, Unknown Function ni, Unknown Matrix ni, Upper-Triangular Matrix ni, Vibration Frequency (Anharmonic) ni, Vibration Frequency (Harmonic) ni, Viscous Dissipation Potential ni, Wave Vector of an Electron ni, Weight Factor ni, Weighting Function ni, White Noise ni, Wiener Process ni, Young Modulus ni, de Broglie Wavelength ni
is disjoint with
Computational Task c, Mathematical Formulation c, Mathematical Model c, Publication c, Research Field c, Research Problem c

Quantity Kindc back to ToC or Class ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantityKind

abstract, generalized concept of a quantity. Typically, it could be chosen from an established, controlled vocabulary of quantityKinds, such as QUDT, IEC, ....
has super-classes
Quantity c
is in domain of
contained as constant in op, contained as input in op, contained as objective in op, contained as output in op, contained as parameter in op, contained in op, contains op, defining formulation dp, described as documented by op, described as invented by op, described as studied by op, described as surveyed by op, described as used by op, described by op, in defining formulation dp, is chemical constant dp, is deterministic dp, is dimensionless dp, is dynamic dp, is linear dp, is mathematical constant dp, is physical constant dp, is space-continuous dp, is time-continuous dp, nondimensionalized by op, nondimensionalizes op, similar to op, specialized by op
is in range of
contained in op, contains op, contains constant op, contains input op, contains objective op, contains output op, contains parameter op, describes op, describes documentation of op, describes invention of op, describes study of op, describes survey of op, describes use of op, nondimensionalized by op, nondimensionalizes op, similar to op, specializes op
has members
Acceleration ni, Angular Momentum ni, Area ni, Azimuthal Angle ni, Boolean Variable ni, Complex Number (Dimensionless) ni, Concentration ni, Costs ni, Decision Variable ni, Density ni, Electric Capacitance ni, Electric Charge ni, Electric Conductivity ni, Electric Current ni, Electric Dipole Moment ni, Electric Field ni, Electric Polarizability ni, Energy ni, Expectation Value ni, Force ni, Frequency ni, Integer Number (Dimensionless) ni, Length ni, Magnetic Field ni, Mass ni, Mechanical Deformation ni, Mechanical Strain ni, Mechanical Stress ni, Momentum ni, Number (Dimensionless) ni, Object ni, Polar Angle ni, Position ni, Pressure ni, Radius ni, Rate ni, Real Number (Dimensionless) ni, Stiffness ni, Temperature ni, Time ni, Torque ni, Variance ni, Velocity ni, Viscosity ni, Voltage ni
is disjoint with
Computational Task c, Mathematical Formulation c, Mathematical Model c, Publication c, Research Field c, Research Problem c

Research Problemc back to ToC or Class ToC

IRI: https://mardi4nfdi.de/mathmoddb#ResearchProblem

problem to be investigated, typically from a scientific or engineering application, i.e. a specific issue or gap in existing knowledge that you aim to address in your research
is in domain of
contained in op, described as documented by op, described as invented by op, described as studied by op, described as surveyed by op, described as used by op, described by op, modeled by op, similar to op, specialized by op, specializes op
is in range of
contains op, describes op, describes documentation of op, describes invention of op, describes study of op, describes survey of op, describes use of op, models op, similar to op, specialized by op, specializes op
has members
Bi Bi Reaction ni, Bi Bi Reaction following Ordered Mechanism ni, Bi Bi Reaction following Ordered Mechanism with Single Central Complex ni, Bi Bi Reaction following Ping Pong Mechanism ni, Bi Bi Reaction following Theorell-Chance Mechanism ni, Charge Transport ni, Current Flow in Semiconductor Devices ni, Efficient Numerical Simulation of Soil-Tool Interaction ni, Electromagnetic Fields and Waves ni, Flow in Porous Media ni, Free Flow Coupled to Porous Media Flow ni, Free Flow of an Incompressible Fluid ni, Gravitational Effects on Fruit ni, Heat Transport ni, Identify Destruction Rules in Ancient Egyptian Objects ni, Image Denoising ni, Imaging of Nanostructures ni, Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 ni, Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 and Single Central Complex ni, Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 ni, Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 and Single Central Complex ni, Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 ni, Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 and Single Central Complex ni, Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products ni, Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products and Single Central Complex ni, Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1 ni, Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2 ni, Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2 ni, Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism without Products ni, Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 ni, Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 and 2 ni, Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 2 ni, Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism without Products ni, Initial Reaction Rate of Uni Uni Reaction with Product ni, Initial Reaction Rate of Uni Uni Reaction without Product ni, Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition ni, Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibition ni, Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition ni, Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibition ni, Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition ni, Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibition ni, Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition ni, Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibition ni, Line Planning ni, Molecular Dynamics ni, Molecular Reaction Dynamics ni, Molecular Rotation ni, Molecular Spectroscopy ni, Molecular Spectroscopy (Transient) ni, Molecular Spectrosopy (Stationary) ni, Molecular Vibration ni, Mortality Modeling ni, Muscle Movement ni, Opinion Dynamics ni, Particles in Electromagnetic Fields ni, Poro-Visco-Elastic Evolution ni, Romanization Spreading in Northern Tunesia ni, Solar System Mechanics ni, Sort Ancient Egyptian Objects ni, Species Transport ni, Spin Qbit Shuttling ni, Spreading of Infectious Diseases ni, Transport of Matter ni, Uni Uni Reaction ni, Uni Uni Reaction with Competitive Complete Inhibition ni, Uni Uni Reaction with Competitive Partial Inhibition ni, Uni Uni Reaction with Mixed Complete Inhibition ni, Uni Uni Reaction with Mixed Partial Inhibition ni, Uni Uni Reaction with Non-Competitive Complete Inhibition ni, Uni Uni Reaction with Non-Competitive Partial Inhibition ni, Uni Uni Reaction with Reversible Complete Inhibition ni, Uni Uni Reaction with Reversible Partial Inhibition ni, Uni Uni Reaction with Uncompetitive Complete Inhibition ni, Uni Uni Reaction with Uncompetitive Partial Inhibition ni
is disjoint with
Computational Task c, Mathematical Formulation c, Mathematical Model c, Publication c, Quantity c, Quantity Kind c, Research Field c

Object Properties

approximated byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#approximatedBy

item approximated by another item of the same class

has characteristics: transitive

has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c
is inverse of
approximates op

approximatesop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#approximates

item approximates another item of the same class

has characteristics: transitive

has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c
is inverse of
approximated by op

assumed byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#assumedBy

Assumptions in a mathematical model|task|formulation are the conditions that must be met for the mathematical model|task|formulation to be valid.
has domain
Mathematical Formulation c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c
is inverse of
assumes op

assumesop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#assumes

Assumptions in a mathematical model|task|formulation are the conditions that must be met for the mathematical model|task|formulation to be valid.
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c
has range
Mathematical Formulation c
is inverse of
assumed by op

contained as boundary condition inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsBoundaryConditionIn

In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions.
has super-properties
contained in op
has domain
Mathematical Formulation c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c
is inverse of
contains boundary condition op

contained as constant inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsConstantIn

This property serves to indicate that a certain quantity is considered as a constant in a computational task.
has super-properties
contained in op
has domain
Quantity c or Quantity Kind c
has range
Computational Task c or Mathematical Formulation c
is inverse of
contains constant op

contained as constraint condition inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsConstraintConditionIn

Solutions to a computational task or a mathematical formulation or a mathematical model are subject to a constraint which is expressed as a mathematical formulation, i.e., an equation or an inequality.
has super-properties
contained in op
has domain
Mathematical Formulation c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c
is inverse of
contains constraint condition op

contained as coupling condition inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsCouplingConditionIn

Mathematical formulation, i.e., typically an equation, serving to model the interaction of two or more (sub-)systems that are interacting with each other.
has super-properties
contained in op
has domain
Mathematical Formulation c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c
is inverse of
contains coupling condition op

contained as final condition inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsFinalConditionIn

Similar to initial conditions, but referring to the system state at final time.
has super-properties
contained in op
has domain
Mathematical Formulation c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c
is inverse of
contains final condition op

contained as initial condition inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsInitialConditionIn

In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value,  is a value of an evolving variable at some point in time designated as the initial time.
has super-properties
contained in op
has domain
Mathematical Formulation c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c
is inverse of
contains initial condition op

contained as input inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsInputIn

(base) quantities may be assigned as input or output or parameter in the context of a (specific!) mathematical task but not in the context of a (general!) model or equation.
has super-properties
contained in op
has domain
Quantity c or Quantity Kind c
has range
Computational Task c
is inverse of
contains input op

contained as objective inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsObjectiveIn

This property serves to indicate that a certain quantity is to be minimized or maximized in a mathematical optimization task.
has super-properties
contained in op
has domain
Quantity c or Quantity Kind c
has range
Computational Task c
is inverse of
contains objective op

contained as output inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsOutputIn

(base) quantities may be assigned as input or output or parameter in the context of a (specific!) mathematical task but not in the context of a (general!) model or equation.
has super-properties
contained in op
has domain
Quantity c or Quantity Kind c
has range
Computational Task c
is inverse of
contains output op

contained as parameter inop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containedAsParameterIn

has super-properties
contained in op
has domain
Quantity c or Quantity Kind c
has range
Computational Task c
is inverse of
contains parameter op

containsop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#contains

item contains another item of the same/another class
has sub-properties
contains boundary condition op, contains constant op, contains constraint condition op, contains coupling condition op, contains final condition op, contains initial condition op, contains input op, contains objective op, contains output op, contains parameter op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Problem c
is inverse of
contained in op

contains boundary conditionop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsBoundaryCondition

In the study of differential equations, a boundary-value problem is a differential equation subjected to constraints called boundary conditions.
has super-properties
contains op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c
has range
Mathematical Formulation c
is inverse of
contained as boundary condition in op

contains constantop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsConstant

This property serves to indicate that a certain quantity is considered as a constant in a computational task.
has super-properties
contains op
has domain
Computational Task c or Mathematical Formulation c
has range
Quantity c or Quantity Kind c
is inverse of
contained as constant in op

contains constraint conditionop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsConstraintCondition

Solutions to a computational task or a mathematical formulation or a mathematical model are subject to a constraint which is expressed as a mathematical formulation, i.e., an equation or an inequality.
has super-properties
contains op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c
has range
Mathematical Formulation c
is inverse of
contained as constraint condition in op

contains coupling conditionop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsCouplingCondition

Mathematical formulation, i.e., typically an equation, serving to model the interaction of two or more (sub-)systems that are interacting with each other.
has super-properties
contains op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c
has range
Mathematical Formulation c
is inverse of
contained as coupling condition in op

contains final conditionop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsFinalCondition

Similar to initial conditions, but referring to the system state at final time.
has super-properties
contains op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c
has range
Mathematical Formulation c
is inverse of
contained as final condition in op

contains initial conditionop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsInitialCondition

In mathematics and particularly in dynamic systems, an initial condition, in some contexts called a seed value,  is a value of an evolving variable at some point in time designated as the initial time.
has super-properties
contains op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c
has range
Mathematical Formulation c
is inverse of
contained as initial condition in op

contains inputop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsInput

Indicates that a (base) quantity is considered as input in the context of a (specific!) computational task.
has super-properties
contains op
has domain
Computational Task c
has range
Quantity c or Quantity Kind c
is inverse of
contained as input in op

contains objectiveop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsObjective

This property serves to indicate that a certain quantity is to be minimized or maximized in a computational optimization task. An objective function, a target function, a loss function or cost function (minimization), a utility function or fitness function (maximization), or, in certain fields, an energy function or energy functional.
has super-properties
contains op
has domain
Computational Task c
has range
Quantity c or Quantity Kind c
is inverse of
contained as objective in op

contains outputop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsOutput

Indicates that a (base) quantity is considered as output in the context of a (specific!) computational task.
has super-properties
contains op
has domain
Computational Task c
has range
Quantity c or Quantity Kind c
is inverse of
contained as output in op

contains parameterop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#containsParameter

Auxiliary variable or arbitrary constant that characterizes a system or specifies a mathematical function among a family of functions. This property serves to indicate that a certain quantity is considered as a parameter in a computational task.
has super-properties
contains op
has domain
Computational Task c
has range
Quantity c or Quantity Kind c
is inverse of
contained as parameter in op

described as documented byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describedAsDocumentedBy

property to express that an entity (problem, model, ...) is documented in a specific publication
has super-properties
described by op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
has range
Publication c
is inverse of
describes documentation of op

described as invented byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describedAsInventedBy

property that states that some entity (problem, model, ...) was invented in a specific publication
has super-properties
described by op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
has range
Publication c
is inverse of
describes invention of op

described as studied byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describedAsStudiedBy

This property states that an entity (problem, model, ...) is studied in a specific Publication
has super-properties
described by op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
has range
Publication c
is inverse of
describes study of op

described as surveyed byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describedAsSurveyedBy

This property states that an entity (problem, model, application, ...) is surveyed in a specific Publication. Surveys are e.g. a review article, a handbook, an encyclopedia, monographs, a documentation, technical report ... .
has super-properties
described by op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
has range
Publication c
is inverse of
describes survey of op

described as used byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describedAsUsedBy

A property that states that an entity (problem, model, ...) is used in a Publication
has super-properties
described by op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
has range
Publication c
is inverse of
describes use of op

described byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describedBy

reference work where the subject is described
has sub-properties
described as documented by op, described as invented by op, described as studied by op, described as surveyed by op, described as used by op
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
has range
Publication c
is inverse of
describes op

describesop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describes

reference work describes this subject
has sub-properties
describes documentation of op, describes invention of op, describes study of op, describes survey of op, describes use of op
has domain
Publication c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
is inverse of
described by op

describes documentation ofop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describesDocumentationOf

property that expresses that a publication is documenting some entity (problem, model, ...)
has super-properties
describes op
has domain
Publication c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
is inverse of
described as documented by op

describes invention ofop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describesInventionOf

property that states that a publication invented some entity (problem, model, ...)
has super-properties
describes op
has domain
Publication c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
is inverse of
described as invented by op

describes study ofop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describesStudyOf

This property states that a Publication studies an entity (problem, model, ...)
has super-properties
describes op
has domain
Publication c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
is inverse of
described as studied by op

describes survey ofop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describesSurveyOf

This property states that a Publication surveys some entity (problem, model, application...). Surveys are e.g. a review article, a handbook, an encyclopedia, monographs, a documentation, technical report ... .
has super-properties
describes op
has domain
Publication c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
is inverse of
described as surveyed by op

describes use ofop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#describesUseOf

A property that states that a Publication uses a specific entity (problem, model, ...)
has super-properties
describes op
has domain
Publication c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
is inverse of
described as used by op

discretized byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#discretizedBy

process of obtaining discrete models/formulations that are the analogues of continuous models/formulations
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c
is inverse of
discretizes op

discretizesop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#discretizes

process of obtaining discrete models/formulations that are the analogues of continuous models/formulations
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c
is inverse of
discretized by op

linearized byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#linearizedBy

property that states that a formulation is linearized (exact or approximate) by another formulation
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c
is inverse of
linearizes op

linearizesop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#linearizes

linearization of a formulation, model, quantity or task
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c
is inverse of
linearized by op

modeled byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#modeledBy

mathematical modeling of a part of the reality
has domain
Research Problem c
has range
Mathematical Model c
is inverse of
models op

modelsop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#models

mathematical modeling of a part of the reality
has domain
Mathematical Model c
has range
Research Problem c
is inverse of
modeled by op

nondimensionalized byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#nondimensionalizedBy

partial or full removal of physical dimensions from a quantity or a formulation

has characteristics: inverse functional

has domain
Mathematical Formulation c or Quantity c or Quantity Kind c
has range
Mathematical Formulation c or Quantity c or Quantity Kind c
is inverse of
nondimensionalizes op

nondimensionalizesop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#nondimensionalizes

partial or full removal of physical dimensions from a quantity or a formulation

has characteristics: functional

has domain
Mathematical Formulation c or Quantity c or Quantity Kind c
has range
Mathematical Formulation c or Quantity c or Quantity Kind c
is inverse of
nondimensionalized by op

similar toop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#similarTo

property describing that two entities are similar

has characteristics: symmetric, transitive

has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
is inverse of
similar to op, similar to op

specialized byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#specializedBy

form of abstraction whereby common properties of specific instances are formulated as special cases of other instance

has characteristics: transitive

has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Research Field c or Research Problem c
is inverse of
specializes op

specializesop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#specializes

form of abstraction whereby common properties of specific instances are formulated as special cases of other instance

has characteristics: transitive

has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Research Field c or Research Problem c
has range
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c or Research Field c or Research Problem c
is inverse of
specialized by op

used byop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#usedBy

A mathematical model is applied (used) by a computational task.
has domain
Mathematical Model c
has range
Computational Task c
is inverse of
uses op

usesop back to ToC or Object Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#uses

A computational task applies (uses) a mathematical model.
has domain
Computational Task c
has range
Mathematical Model c
is inverse of
used by op

Data Properties

defining formulationdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#definingFormulation

can be equations, inequalities, expressions, logic quantifiers or other
has domain
Mathematical Formulation c or Quantity c or Quantity Kind c
has range
La Te X ep or Math M L ep

in defining formulationdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#inDefiningFormulation

symbol or term of formulation and corresponding quantity
has domain
Mathematical Formulation c or Quantity c or Quantity Kind c
has range
string or La Te X ep or Math M L ep

is chemical constantdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isChemicalConstant

chemical quantity that is generally believed to be both universal in nature and constant in time
has domain
Quantity c or Quantity Kind c
has range
boolean

is deterministicdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isDeterministic

true, if the model is deterministic; false, if the model is probabilistic (stochastic)
has domain
Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c
has range
boolean

is dimensionlessdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isDimensionless

true, if physical dimensions are partially or fully removed
has domain
Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c
has range
boolean

is dynamicdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isDynamic

True, if dynamic; false, if static
has domain
Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c
has range
boolean

is lineardp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isLinear

True, if linear; false, if non-linear
has domain
Computational Task c or Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c
has range
boolean

is mathematical constantdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isMathematicalConstant

special, usually real number, that is interesting or significant in some way
has domain
Quantity c or Quantity Kind c
has range
boolean

is physical constantdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isPhysicalConstant

physical quantity that is generally believed to be both universal in nature and constant in time
has domain
Quantity c or Quantity Kind c
has range
boolean

is space-continuousdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isSpaceContinuous

True, if continuous in space; false, if discrete in space
has domain
Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c
has range
boolean

is time-continuousdp back to ToC or Data Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#isTimeContinuous

True, if continuous in time; false, if discrete in time
has domain
Mathematical Formulation c or Mathematical Model c or Quantity c or Quantity Kind c
has range
boolean

Annotation Properties

abstractap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/abstract

alt Labelap back to ToC or Annotation Property ToC

IRI: http://www.w3.org/2004/02/skos/core#altLabel

arXiv IDap back to ToC or Annotation Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#arxivID

bibliographic Citationap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/bibliographicCitation

creatorap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/creator

descriptionap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/description

DOIap back to ToC or Annotation Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#doiID

issuedap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/issued

licenseap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/license

MaRDI IDap back to ToC or Annotation Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#mardiID

modifiedap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/modified

publisherap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/publisher

QUDT IDap back to ToC or Annotation Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#qudtID

titleap back to ToC or Annotation Property ToC

IRI: http://purl.org/dc/terms/title

Wikidata IDap back to ToC or Annotation Property ToC

IRI: https://mardi4nfdi.de/mathmoddb#wikidataID

Named Individuals

Accelerationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Acceleration

rate at which the magnitude and/or direction of velocity changes with time
belongs to
Quantity Kind c
has facts
specialized by op Classical Acceleration ni
specialized by op Gravitational Acceleration (Earth Surface) ni
specialized by op Material Point Acceleration ni
MaRDI ID ap Item: Q6673688 ep
QUDT ID ap Acceleration ep
Wikidata ID ap Q11376 ep

Action Potential Propagation Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ActionPotentialPropagationModel

propagation of the action potential
belongs to
Mathematical Model c
has facts
contains op Monodomain Equation for Action Potential Propagation ni
described as studied by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
described by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
is deterministic dp "true"^^boolean
is dynamic dp "true"^^boolean
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "Accounts for the propagation of the action potential. Necessary because Subcellular model only considers isolated processes in one sacomere"@en
MaRDI ID ap Item: Q6674954 ep

Active Contractile Forceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ActiveContractileForce

active force generated by the contractile element
belongs to
Quantity c
has facts
contained in op Active Contractile Force ni
contained in op Hill-Type Two-Muscle-One-Tendon ODE System ni
contains op Active Contractile Force ni
contains op Maximum Isometric Muscle Force ni
contains op Muscle Contraction Velocity ni
contains op Muscle Length ni
contains op Time ni
defining formulation dp "$F_{\text{ACE}}(t) \equiv F^{\text{M}}_{0} \cdot a(t) \cdot f_{\text{L}}(\mathcal{l}_{\text{M}}(t)) \cdot f_{\text{v}} (\nu_{\text{M}}(t))$"^^La Te X ep
in defining formulation dp "$F^{\text{M}}_{0}$, Maximum Isometric Muscle Force"^^La Te X ep
in defining formulation dp "$F_{\text{ACE}}$, Active Contractile Force"^^La Te X ep
in defining formulation dp "$\mathcal{l}_{\text{M}}$, Muscle Length"^^La Te X ep
in defining formulation dp "$\nu_{\text{M}}$, Muscle Contraction Velocity"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6673730 ep

Adjacency Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AdjacencyMatrix

square matrix used to represent a graph or network
belongs to
Quantity c
has facts
specialized by op Individual Relationship Matrix ni
specialized by op Influencer Individual Matrix ni
specialized by op Medium Follower Matrix ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673734 ep
Wikidata ID ap Q727035 ep

Age of an Individualni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AgeOfAnIndividual

time elapsed since an individual was born
belongs to
Quantity c
has facts
contained in op Gamma-Gompertz–Makeham Law ni
contained in op Poisson-Distributed Deaths ni
contained in op Poisson log-Likelihood ni
specializes op Time ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673735 ep
Wikidata ID ap Q185836 ep

Allee Effectni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AlleeEffect

effect to model the infection rate as a function of population density
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op PDE SEIR Model ni
contained in op PDE SEIR Model ni
contains op Allee Threshold ni
contains op Population Density ni
defining formulation dp "$1 - \dfrac{A}{n + n_0} \geq \frac{1}{3}$"^^La Te X ep
in defining formulation dp "$A$, Allee Threshold"^^La Te X ep
in defining formulation dp "$n$, Population Density"^^La Te X ep
description ap "The Allee effect is used to model the infection rate as a function of population density, where it represents a lower transmission probability in less densely populated regions. We adopt the effect and bound it from below by 1/3. This ensures that the effect is at most three times lower in sparsely populated areas than in regions with high population density. To enforce the lower bound, we apply a shift n0 in the Allee term. We choose $n_0 = \frac{3}{2}A$"@en
MaRDI ID ap Item: Q6674126 ep
Wikidata ID ap Q2301505 ep

Allee Thresholdni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AlleeThreshold

population density below which growth becomes negative
belongs to
Quantity c
has facts
contained in op Allee Effect ni
contained in op Rate of Change of Population Density Fraction of Exposed PDE ni
contained in op Rate of Change of Population Density Fraction of Susceptibles PDE ni
MaRDI ID ap Item: Q6673736 ep

Ampere Lawni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AmpereLaw

Ampère's circuital law (with Maxwell's addition) relates the integrated magnetic field around a closed loop to the electric current passing through the loop
belongs to
Mathematical Formulation c
has facts
contained in op Maxwell Equations Model ni
contains op Electric Current Density ni
contains op Electric Field ni
contains op Magnetic Field ni
contains op Permeability (Vacuum) ni
contains op Permittivity (Vacuum) ni
contains op Time ni
defining formulation dp "$\nabla \times \mathbf{B} = \mu_0\left(\mathbf{J} + \epsilon_0 \frac{\partial \mathbf{E}} {\partial t} \right)$"^^La Te X ep
in defining formulation dp "$B$, Magnetic Field"^^La Te X ep
in defining formulation dp "$E$, Electric Field"^^La Te X ep
in defining formulation dp "$J$, Electric Current Density"^^La Te X ep
in defining formulation dp "$\epsilon_0$, Permittivity (Vacuum)"^^La Te X ep
in defining formulation dp "$\mu_0$, Permeability (Vacuum)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674127 ep
Wikidata ID ap Q51500 ep

Amplitude of Electron Waveni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AmplitudeOfElectronWave

amplitude of the wave function representing an electron
belongs to
Quantity c
has facts
contained in op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
contained in op Darwin-Howie-Whelan Equation for a Strained Crystal ni
contained in op Initial Value for Electron Scattering ni
MaRDI ID ap Item: Q6673741 ep

Angular Momentumni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AngularMomentum

measure of the extent to which an object will continue to rotate in the absence of an applied torque
belongs to
Quantity Kind c
has facts
specialized by op Planck Constant ni
MaRDI ID ap Item: Q6673691 ep
QUDT ID ap Angular Momentum ep
Wikidata ID ap Q161254 ep

Anharmonicity Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AnharmonicityConstant

deviation of a physical system from being a harmonic oscillator
belongs to
Quantity c
has facts
contained in op Anharmonicity Constant (Perturbation Theory) ni
contained in op Quantum Eigen Energy (Anharmonic) ni
MaRDI ID ap Item: Q6673742 ep
Wikidata ID ap Q545228 ep

Anharmonicity Constant (Perturbation Theory)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AnharmonicityConstantPerturbationTheory

anharmonicity constants, derived by using second order (non-degenerate) perturbation theory
belongs to
Mathematical Formulation c
has facts
contained in op Quantum Eigen Energy (Anharmonic) ni
contains op Anharmonicity Constant ni
contains op Coriolis Coupling Constant ni
contains op Force Constant (Anharmonic) ni
contains op Number of Particles ni
contains op Rotational Constant ni
contains op Vibration Frequency (Harmonic) ni
defining formulation dp "$ \begin{align} \chi_{rr} &=& \frac{1}{16} \phi_{rrrr} - \frac{1}{16} \sum_{s=1}^{3N-6} \phi_{rrs}^2 \frac {8\omega_r^2-3\omega_s^2} {\omega_s(4\omega_r^2-\omega_s^2)} \\ \chi_{rs} &=&\frac{1}{4} \phi_{rrss} - \frac{1}{4} \sum_{t=1}^{3N-6} \frac{\phi_{rrt}\phi_{tss}}{\omega_t} - \frac{1}{2} \sum_{t=1}^{3N-6} \frac {\phi_{rst}^2 \omega_t (\omega_t^2-\omega_r^2-\omega_s^2)} {\Delta_{rst}} \\ &+& \left[ A(\zeta_{r,s}^{(a)})^2 + B(\zeta_{r,s}^{(b)})^2 + C(\zeta_{r,s}^{(c)})^2 \right] \left[ \frac{\omega_r}{\omega_s} + \frac{\omega_s}{\omega_r} \right] \\ \Delta_{rst} &=& ( \omega_r + \omega_s + \omega_t ) ( \omega_r - \omega_s - \omega_t ) (-\omega_r + \omega_s - \omega_t ) (-\omega_r - \omega_s + \omega_t ) \end{align}$"^^La Te X ep
in defining formulation dp "$A,B,C$, Rotational Constant"^^La Te X ep
in defining formulation dp "$N$, Number of Particles"^^La Te X ep
in defining formulation dp "$\chi$, Anharmonicity Constant"^^La Te X ep
in defining formulation dp "$\omega$, Vibrational Frequency (Harmonic)"^^La Te X ep
in defining formulation dp "$\phi$, Force Constant (Anharmonic)"^^La Te X ep
in defining formulation dp "$\zeta$, Coriolis Coupling Constant"^^La Te X ep
description ap "Considering the comparable magnitude of contributions of cubic anharmonicity in second order and quartic anharmonicity in first order."@en
MaRDI ID ap Item: Q6674132 ep
Wikidata ID ap Q545228 ep

Applied External Voltageni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AppliedExternalVoltage

external voltage at an Ohmic contact in semiconductor physics|technology
belongs to
Quantity c
has facts
contained as input in op Semiconductor Charge Neutrality ni
contained in op Dirichlet Boundary Condition for Electric Potential ni
contained in op Dirichlet Boundary Condition for Electron Fermi Potential ni
contained in op Dirichlet Boundary Condition for Hole Fermi Potential ni
contained in op Semiconductor Charge Neutrality ni
specializes op Voltage ni
MaRDI ID ap Item: Q6534325 ep

Archaeologyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Archaeology

study of the past via material culture
belongs to
Research Field c
has facts
specialized by op Egyptology ni
specialized by op Roman Archaeology ni
MaRDI ID ap Item: Q65133 ep
Wikidata ID ap Q23498 ep

Areani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Area

quantity that expresses the extent of a two-dimensional surface or shape, or planar lamina, in the plane
belongs to
Quantity Kind c
has facts
specialized by op Area of Image ni
specialized by op Cross Section ni
MaRDI ID ap Item: Q6673693 ep
Wikidata ID ap Q11500 ep

Area of Imageni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AreaOfImage

area of image, to be used in image processing methods
belongs to
Quantity c
has facts
contained in op Non-Local Means ni
specializes op Area ni

Artificial Neural Networkni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ArtificialNeuralNetwork

computational model used in machine learning, based on connected, hierarchical functions
belongs to
Mathematical Model c
has facts
contains op Loss Function Model ni
specialized by op Feedforward Neural Network ni
specialized by op Recurrent Neural Network ni
specialized by op Recurrent Neural Network Surrogate for Discrete Element Method ni
Wikidata ID ap Q192776 ep

Astronomyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Astronomy

scientific study of celestial objects and phenomena
belongs to
Research Field c
has facts
specialized by op Celestial Mechanics ni
MaRDI ID ap Item: Q71225 ep
Wikidata ID ap Q333 ep

Asymptomatic Infection Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AsymptomaticInfectionRate

constant representing the asymptomatic infection rate
belongs to
Quantity c
has facts
contained in op Rate of Change of Population Density Fraction of Exposed PDE ni
contained in op Rate of Change of Population Density Fraction of Susceptibles PDE ni
specializes op Rate ni
MaRDI ID ap Item: Q6673753 ep

Asymptomatic Recovery Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AsymptomaticRecoveryRate

constant representing the asymptomatic recovery rate
belongs to
Quantity c
has facts
contained in op Rate of Change of Population Density Fraction of Exposed PDE ni
contained in op Rate of Change of Population Density Fraction of Removed PDE ni
specializes op Rate ni
MaRDI ID ap Item: Q6673754 ep

Attraction Force at Opinionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AttractionForceAtOpinion

attraction force at an individuals opinion by influencers and media
belongs to
Quantity c
has facts
contained in op Attraction Force at Opinion Formulation ni
contained in op Limiting Distribution of Individuals Formulation ni
MaRDI ID ap Item: Q6673755 ep

Attraction Force at Opinion Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AttractionForceAtOpinionFormulation

attraction force at a specific opinion x
belongs to
Mathematical Formulation c
has facts
contained in op Partial Mean Field Opinion Model ni
contains op Attraction Force at Opinion ni
contains op Opinion ni
contains op Overall Distribution of Individuals ni
contains op Pair Function ni
contains op Parameter to Scale Attractive Force from Influencers ni
contains op Parameter to Scale Attractive Force from Media ni
contains op Parameter to Scale Attractive Force from Other Individuals ni
defining formulation dp "$\mathcal{F}(x, y_m, z_l, \rho) = a \frac{\int_D \rho(x', t) \varphi(\|x' - x\|)(x' - x) \, dx'}{\int_D \rho(x', t) \varphi(\|x' - x\|) \, dx'} + b (y_m(t) - x) + c (z_l(t) - x)$"^^La Te X ep
in defining formulation dp "$\mathcal{F}$, Attraction Force At Opinion"^^La Te X ep
in defining formulation dp "$\phi$, Pair Function"^^La Te X ep
in defining formulation dp "$\rho$, Overall Distribution of Individuals"^^La Te X ep
in defining formulation dp "$a$, Parameter to Scale Attractive Force from Other Individuals"^^La Te X ep
in defining formulation dp "$b$, Parameter to Scale Attractive Force from Media"^^La Te X ep
in defining formulation dp "$c$, Parameter to Scale Attractive Force from Influencers"^^La Te X ep
in defining formulation dp "$x$, Opinion"^^La Te X ep
MaRDI ID ap Item: Q6674135 ep

Average Opinion of Followers of Influencersni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfInfluencerFollowers

opinion of the influencers is drawn towards the average opinion of the followers
belongs to
Quantity c
has facts
contained in op Average Opinion of Followers of Infuencers Formulation ni
contained in op Change in Opinions of Influencers ni
MaRDI ID ap Item: Q6673762 ep

Average Opinion of Followers of Influencers in the Partial Mean Field Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfFollowersOfInfluencersInThePartialFieldModel

opinion of the influencers is drawn towards the average opinion of the followers
belongs to
Quantity c
has facts
contained in op Average Opinion of Followers of Infuencers in the Partial Mean Field Model Formulation ni
contained in op Change in Opinions of Influencers in the Partial Mean Field Model ni
MaRDI ID ap Item: Q6673765 ep

Average Opinion of Followers of Infuencers Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfFollowersOfInfluencersFormulation

equation describing the average opinon of the followers of a specific Influencer
belongs to
Mathematical Formulation c
has facts
contained in op Opinion Model with Influencers and Media ni
contains op Average Opinion of Followers of Influencers ni
contains op Influencer Individual Matrix ni
contains op Opinion Vector of Individuals ni
contains op Time ni
defining formulation dp "$\hat{x}_l(t)=\frac{1}{\sum_k C_{k l}(t)} \sum_{i=1}^N C_{i l}(t) x_i(t)$"^^La Te X ep
in defining formulation dp "$C_l(t)$, Influencer Individual Matrix"^^La Te X ep
in defining formulation dp "$\hat{x}_l(t)$, Average Opinion of Followers of Influencers"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x_i(t)$, Opinion Vector of Individuals"^^La Te X ep
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674136 ep

Average Opinion of Followers of Infuencers in the Partial Mean Field Model Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfFollowersOfInfluencersInThePartialFieldModelFormulation

equation describing the average opinon of the followers of a specific influencer in the partial mean field opinion model
belongs to
Mathematical Formulation c
has facts
contained in op Partial Mean Field Opinion Model ni
contains op Average Opinion of Followers of Influencers in the Partial Mean Field Model ni
contains op Limiting Distribution of Individuals ni
contains op Medium Influencer Fraction Limit ni
contains op Opinion ni
contains op Time ni
defining formulation dp "$\hat{x}_l(t)=\frac{\sum_{m=1}^M \int_D x \rho_{m, l}(x, t) d x}{\sum_{m=1}^M n_{m, l}(t)}$"^^La Te X ep
in defining formulation dp "$\hat{x}_l(t)$, Average Opinion of Followers of Influencers in the Partial Field Model"^^La Te X ep
in defining formulation dp "$\rho_{m,l}$, Limiting Distribution of Individuals"^^La Te X ep
in defining formulation dp "$n_{m,l}$, Medium Influencer Fraction Limit"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Opinion"^^La Te X ep
MaRDI ID ap Item: Q6674137 ep

Average Opinion of Followers of Mediani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfMediaFollowers

opinion of the media is drawn towards the average opinion of the followers of that medium
belongs to
Quantity c
has facts
contained in op Average Opinion of Followers of Media Formulation ni
contained in op Change in Opinions of Media ni
MaRDI ID ap Item: Q6673768 ep

Average Opinion of Followers of Media Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfFollowersOfMediaFormulation

equation describing the average opinon of the followers of a specific medium
belongs to
Mathematical Formulation c
has facts
contained in op Opinion Model with Influencers and Media ni
contains op Average Opinion of Followers of Media ni
contains op Medium Follower Matrix ni
contains op Opinion Vector of Individuals ni
contains op Time ni
defining formulation dp "$\tilde{x}_m(t)=\frac{1}{\sum_k B_{k m}(t)} \sum_{i=1}^N B_{i m}(t) x_i(t) $"^^La Te X ep
in defining formulation dp "$B_m(t)$, Medium Follower Matrix"^^La Te X ep
in defining formulation dp "$\tilde{x}_m(t)$, Average Opinion of Followers of Media"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x_i(t)$, Opinion Vector of Individuals"^^La Te X ep
is deterministic dp "false"^^boolean
is dimensionless dp "false"^^boolean
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674138 ep

Average Opinion of Followers of Media in the Partial Mean Field Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfFollowersOfMediaInThePartialFieldModel

opinion of the media is drawn towards the average opinion of the followers of that medium
belongs to
Quantity c
has facts
contained in op Average Opinion of Followers of Media in the Partial Mean Field Model Formulation ni
contained in op Change in Opinions of Media in the Partial Mean Field Model ni
MaRDI ID ap Item: Q6673770 ep

Average Opinion of Followers of Media in the Partial Mean Field Model Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AverageOpinionOfFollowersOfMediaInThePartialFieldModelFormulation

equation describing the average opinon of the followers of a specific medium in the partial field opinion model
belongs to
Mathematical Formulation c
has facts
contained in op Partial Mean Field Opinion Model ni
contains op Average Opinion of Followers of Media in the Partial Mean Field Model ni
contains op Limiting Distribution of Individuals ni
contains op Medium Influencer Fraction Limit ni
contains op Opinion ni
contains op Time ni
defining formulation dp "$\tilde{x}_m(t)=\frac{\sum_{l=1}^L \int_D x \rho_{m, l}(x, t) d x}{\sum_{l=1}^L n_{m, l}(t)}$"^^La Te X ep
in defining formulation dp "$\rho_{m,l}$, Limiting Distribution of Individuals"^^La Te X ep
in defining formulation dp "$\tilde{x}_m(t)$, Average Opinion of Followers of Media in the Partial Field Model"^^La Te X ep
in defining formulation dp "$n_{m,l}$, Medium Influencer Fraction Limit"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Opinion"^^La Te X ep
MaRDI ID ap Item: Q6674139 ep

Azimuthal Angleni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#AzimuthalAngle

angle in the spherical coordinate system
belongs to
Quantity Kind c
has facts
contained in op Spherical Harmonics Expansion (3D) ni
MaRDI ID ap Item: Q6673695 ep
Wikidata ID ap Q116757767 ep

Balanced Truncationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BalancedTruncation

powerful technique to reduce the state-space dimension of a dynamical system
belongs to
Computational Task c
has facts
contains op Balancing Transformation ni
contains op Lyapunov Equation ni
specialized by op Balanced Truncation (Bi-linear) ni
specialized by op Balanced Truncation (Linear) ni
specializes op Model Order Reduction ni
uses op Control System Model ni
description ap "The basic principle is to identify a subspace of jointly easily controllable and observable states and then to restrict the dynamics to this subspace, hopefully without changing the overall response of the system too much."@en
description ap "This approach is based on balancing the controllable and observable subspaces, and exploits the properties of the underlying dynamical system in that it uses the properties of the controllability and observability Gramians to identify suitable small parameters that are sent to 0 to yield a reduced-order system"@en
DOI ap 3 540 27909 1 3 ep
DOI ap 1.3605243 ep
DOI ap jcd.2020001 ep
MaRDI ID ap Item: Q6684550 ep

Balanced Truncation (Bi-linear)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BalancedTruncationBilinear

powerful technique to reduce the state-space dimension of a dynamical system with bi-linear input equation
belongs to
Computational Task c
has facts
contains op Balancing Transformation ni
contains op Control System Input Bilinear ni
contains op Control System Input Bilinear (Reduced) ni
contains op Control System Matrix A ni
contains op Control System Matrix A (Reduced) ni
contains op Control System Matrix B ni
contains op Control System Matrix B (Reduced) ni
contains op Control System Matrix C ni
contains op Control System Matrix C (Reduced) ni
contains op Control System Matrix N ni
contains op Control System Matrix N (Reduced) ni
contains op Control System Output Linear ni
contains op Control System Output Linear (Reduced) ni
contains op Control System Output Quadratic ni
contains op Initial Control State ni
contains op Initial Control State (Reduced) ni
contains op Lyapunov Generalized Controllability ni
contains op Lyapunov Generalized Observability ni
contains op MOR Transformation Matrix ni
contains initial condition op Initial Control State ni
contains input op Control System Matrix A ni
contains input op Control System Matrix B ni
contains input op Control System Matrix C ni
contains input op Control System Matrix N ni
contains input op Initial Control State (Reduced) ni
contains output op Control System Matrix A (Reduced) ni
contains output op Control System Matrix B (Reduced) ni
contains output op Control System Matrix C (Reduced) ni
contains output op Control System Matrix N (Reduced) ni
contains output op MOR Transformation Matrix ni
specialized by op Balanced Truncation (Linear) ni
specializes op Balanced Truncation ni
specializes op Model Order Reduction ni
uses op Classical Fokker Planck Model ni
uses op Control System Model (Bilinear) ni
uses op Quantum Model (Open System) ni
description ap "In the case of a bi-linear control system, are there any known error bounds when truncating states???"@en
MaRDI ID ap Item: Q6684552 ep

Balanced Truncation (Linear)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BalancedTruncationLinear

powerful technique to reduce the state-space dimension of a dynamical system with linear input equation
belongs to
Computational Task c
has facts
contains op Balancing Transformation ni
contains op Control System Input Linear ni
contains op Control System Input Linear (Reduced) ni
contains op Control System Matrix A ni
contains op Control System Matrix A (Reduced) ni
contains op Control System Matrix B ni
contains op Control System Matrix B (Reduced) ni
contains op Control System Matrix C ni
contains op Control System Matrix C (Reduced) ni
contains op Control System Output Linear ni
contains op Control System Output Linear (Reduced) ni
contains op Initial Control State ni
contains op Initial Control State (Reduced) ni
contains op Lyapunov Equation Controllability ni
contains op Lyapunov Equation Observability ni
contains op MOR Transformation Matrix ni
contains initial condition op Initial Control State ni
contains input op Control System Matrix A ni
contains input op Control System Matrix B ni
contains input op Control System Matrix C ni
contains input op Initial Control State (Reduced) ni
contains output op Control System Matrix A (Reduced) ni
contains output op Control System Matrix B (Reduced) ni
contains output op Control System Matrix C (Reduced) ni
contains output op MOR Transformation Matrix ni
specializes op Balanced Truncation ni
specializes op Balanced Truncation (Bi-linear) ni
specializes op Model Order Reduction ni
uses op Control System Model (Linear) ni
description ap "In the case of a linear control system, a useful property of balanced truncation is that it admits easy control of the approximation error when truncating states."@en
MaRDI ID ap Item: Q6684551 ep

Balancing Transformationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BalancingTransformation

coordinate transformation T under which controllability and observability Gramians become equal and diagonal matrices comprising the Hankel singular values
belongs to
Mathematical Formulation c
has facts
contained in op Balanced Truncation ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Linear) ni
contains op Gramian Matrix Controllability ni
contains op Gramian Matrix Observability ni
contains op Hankel Singular Value ni
contains op MOR Transformation Matrix ni
defining formulation dp "$T^{-1}W_c\left(T^{-1}\right)^{*} = T^{*}W_oT = \left( \begin{array}{lll} \sigma_{1} & & 0 \\ & \ddots & \\ 0 & & \sigma_{n} \end{array}\right) = \Sigma$"^^La Te X ep
in defining formulation dp "$T$, MOR Transformation Matrix"^^La Te X ep
in defining formulation dp "$W_c$, Gramian Matrix Controllability"^^La Te X ep
in defining formulation dp "$W_o$, Gramian Matrix Observability"^^La Te X ep
in defining formulation dp "$\sigma$, Hankel Singular Value"^^La Te X ep
description ap "The transformation T is a contragredient transformation and exists whenever $W_c$, $W_o$ are symmetric and positive definite. Note that the squared HSVs are the eigenvalues of the product of $W_c$ and $W_o$."@en
MaRDI ID ap Item: Q6674140 ep

Band Edge Energy for Conduction Bandni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BandEdgeEnergyForConductionBand

energy of the lower edge of the electronic conduction band
belongs to
Quantity c
has facts
contained in op Boltzmann Approximation for Electrons ni
specializes op Energy ni
MaRDI ID ap Item: Q6673783 ep

Band Edge Energy for Valence Bandni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BandEdgeEnergyForValenceBand

energy of the upper edge of the electronic valence band
belongs to
Quantity c
has facts
contained in op Boltzmann Approximation for Holes ni
specializes op Energy ni
MaRDI ID ap Item: Q6673784 ep

Beavers-Joseph Coefficientni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BeaversJosephCoefficient

coefficient for the coupling of a Stokes model and a Darcy model
belongs to
Quantity c
has facts
contained in op Beavers–Joseph-Saffman Condition ni
MaRDI ID ap Item: Q6673785 ep

Beavers–Joseph-Saffman Conditionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BeaversJosephSaffmanCondition

boundary condition between an unconfined incompressible viscous fluid (Stokes model) and fluid inside a porous medium (Darcy model)
belongs to
Mathematical Formulation c
has facts
contained in op Stokes Darcy Coupling Conditions ni
contains op Beavers-Joseph Coefficient ni
contains op Fluid Dynamic Viscosity (Free Flow) ni
contains op Fluid Intrinsic Permeability (Porous Medium) ni
contains op Fluid Velocity (Free Flow) ni
contains op Fluid Viscous Stress ni
contains op Unit Normal Vector ni
contains op Unit Tangent Vector ni
defining formulation dp "$[(v + \sqrt{K}(\alpha_{\mathrm{BJ}}\mu)^{-1} \tau n)\cdot t_{\mathrm{ff,pm}}]^{ff} = 0 \quad \mathrm {on} \quad \Gamma$"^^La Te X ep
in defining formulation dp "$K$, Fluid Intrinsic Permeability (Porous Medium)"^^La Te X ep
in defining formulation dp "$\alpha_{BJ}$, Beavers-Joseph Coefficient"^^La Te X ep
in defining formulation dp "$\mu$, Fluid Dynamic Viscosity (Free Flow)"^^La Te X ep
in defining formulation dp "$\tau$, Fluid Viscous Stress"^^La Te X ep
in defining formulation dp "$n$, Normal Unit Vector"^^La Te X ep
in defining formulation dp "$t_{\mathrm{ff,pm}}$, Tangent Unit Vector"^^La Te X ep
in defining formulation dp "$v^{ff}$, Fluid Velocity (Free Flow)"^^La Te X ep
DOI ap s11242 009 9344 y ep
DOI ap S0022112067001375 ep
MaRDI ID ap Item: Q6674153 ep

Between Population Contact Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BetweenPopulationContactRate

contact rate of one sub-population with all other sub-populations
belongs to
Quantity c
has facts
contained in op Between Population Contact Rate ni
contained in op Condition for Positive Solutions in the Multi-Population SIS Model ni
contained in op Second Condition for Positive Solutions in the Multi Population SIS Model ni
contains op Between Population Contact Rate ni
contains op Contact Rate ni
contains op Time Step ni
contains op Total Population Size ni
specializes op Rate ni
defining formulation dp "$a_i \equiv \sum_{k\neq i}\alpha_{ik} \Delta t N^k/N^i$"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate"^^La Te X ep
in defining formulation dp "$a_i$, Between Population Contact Rate"^^La Te X ep
is dimensionless dp "false"^^boolean
description ap "Used in multi-population models."@en
MaRDI ID ap Item: Q6673792 ep

Bi Bi Reactionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReaction

reaction catalyzed by a single enzyme in which two substrates and two products are involved
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Bi Bi Reaction following Ordered Mechanism ni
specialized by op Bi Bi Reaction following Ordered Mechanism with Single Central Complex ni
specialized by op Bi Bi Reaction following Ping Pong Mechanism ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 and Single Central Complex ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 and Single Central Complex ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 and Single Central Complex ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products and Single Central Complex ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1 ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2 ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2 ni
specialized by op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism without Products ni
MaRDI ID ap Item: Q6684622 ep

Bi Bi Reaction following Theorell-Chance Mechanismni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionFollowingTheorellChanceMechanism

bi bi reaction with a Theorell-Chance mechanism
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni

Bi Bi Reaction Ordered Mechanism (ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismODEModel

bi bi reaction model following an ordered mechanism
belongs to
Mathematical Model c
has facts
contains op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Enzyme Conservation ni
contains op Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
models op Bi Bi Reaction following Ordered Mechanism ni
specialized by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Sensitivity Analysis of Complex Kinetic Systems ni
used by op Simulation of Complex Kinetic Systems ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "true"^^boolean
is linear dp "false"^^boolean
is time-continuous dp "true"^^boolean
description ap "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - substrate 1 - substrate 2 - complex, enzyme - product 1 - product 2 - complex, enzyme - product 1 complex and product 1 and 2 in a Bi Bi Reaction following the Ordered Mechanism. k_{i} with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI ID ap Item: Q6675335 ep

Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismMichaelisMentenModelwithProduct1SS

bi bi reaction Michaelis Menten model following an ordered mechanism with product 1 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 ni
specializes op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675334 ep

Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismMichaelisMentenModelwithProduct1ansSingleCCSS

bi bi reaction with Single Central complex Michaelis Menten model following an ordered mechanism with product 1 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 and Single Central Complex ni
specializes op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675336 ep

Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismMichaelisMentenModelwithProduct2SS

bi bi reaction Michaelis Menten model following an ordered mechanism with product 2 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 ni
specializes op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675338 ep

Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismMichaelisMentenModelwithProduct2ansSingleCCSS

bi bi reaction with Single Central complex Michaelis Menten model following an ordered mechanism with product 2 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 and Single Central Complex ni
specializes op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675339 ep

Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismMichaelisMentenModelwithProducts1and2SS

bi bi reaction Michaelis Menten model following an ordered mechanism with products 1 and 2 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 ni
specializes op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675340 ep

Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismMichaelisMentenModelwithProducts1and2ansSingleCCSS

bi bi reaction with Single Central complex Michaelis Menten model following an ordered mechanism with products 1 and 2 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 and Single Central Complex ni
specializes op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675341 ep

Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismMichaelisMentenModelwithoutProductsSS

bi bi reaction Michaelis Menten model following an ordered mechanism without products formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products ni
specializes op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675342 ep

Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismMichaelisMentenModelwithoutProductsansSingleCCSS

bi bi reaction with Single Central complex Michaelis Menten model following an ordered mechanism without products formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products and Single Central Complex ni
specializes op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675343 ep

Bi Bi Reaction Ordered Mechanism ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechansimODESystem

system of ordinary differential equations describing a bi bi reaction with an ordered mechanism
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contains op Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Enzyme Concentration ni
contains op Enzyme Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Enzyme - Product 1 Complex Concentration ni
contains op Enzyme - Product 1 - Product 2 Complex Concentration ni
contains op Enzyme - Substrate 1 Complex Concentration ni
contains op Enzyme - Substrate 1 - Substrate 2 Complex Concentration ni
contains op Product 1 Concentration ni
contains op Product 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Product 2 Concentration ni
contains op Product 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Reaction Rate Constant ni
contains op Reaction Rate of Enzyme ni
contains op Reaction Rate of Enzyme - Product 1 Complex ni
contains op Reaction Rate of Enzyme - Product 1 - Product 2 Complex ni
contains op Reaction Rate of Enzyme - Substrate 1 Complex ni
contains op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex ni
contains op Reaction Rate of Product 1 ni
contains op Reaction Rate of Product 2 ni
contains op Reaction Rate of Substrate 1 ni
contains op Reaction Rate of Substrate 2 ni
contains op Substrate 1 Concentration ni
contains op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Substrate 2 Concentration ni
contains op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contains op Time ni
defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} c_{ES_{1}S_{2}} - k_{2} c_{ES_1} c_{S_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} c_{E} c_{S_1} + k_{-2} c_{ES_{1}S_{2}} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2} \\ \frac{dc_{ES_{1}S_{2}}}{dt} &= k_{2} c_{ES_1} c_{S_2} + k_{-3} c_{EP_{1}P_{2}} - k_{-2} c_{ES_{1}S_{2}} - k_{3} c_{ES_{1}S_{2}} \\ \frac{dc_{EP_{1}P_{2}}}{dt} &= k_{3} c_{ES_{1}S_{2}} + k_{-4} c_{EP_1} c_{P_2} - k_{-3} c_{EP_{1}P_{2}} - k_{4} c_{EP_{1}P_{2}} \\ \frac{dc_{EP_1}}{dt} &= k_{4} c_{EP_{1}P_{2}} + k_{-5} c_{E} c_{P_1} - k_{-4} c_{EP_1} c_{P_2} - k_{5} c_{EP_1} \\ \frac{dc_{P_1}}{dt} &= k_{5} c_{EP_1} - k_{-5} c_{E} c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} c_{EP_{1}P_{2}} - k_{-4} c_{EP_1} c_{P_2} \\ \frac{dc_{E}}{dt} &= k_{-1} c_{ES_1} + k_5 c_{EP_1} - k_{1} c_{E} c_{S_1} - k_{-5} c_{E} c_{P_1} \\ \end{align}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{EP_1P_2}}{dt}$, Reaction Rate of Enzyme - Product 1 - Product 2 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{EP_1}}{dt}$, Reaction Rate of Enzyme - Product 1 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1S_2}}{dt}$, Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
in defining formulation dp "$c_{EP_1P_2}$, Enzyme - Product 1 - Product 2 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Enzyme - Product 1 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1S_2}$, Enzyme - Substrate 1 - Substrate 2 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674163 ep

Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechanismODEModelsingleCC

bi bi reaction with Single Central complex model following an ordered mechanism
belongs to
Mathematical Model c
has facts
contains op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Enzyme Conservation ni
contains op Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with Single Central Compelx - ODE Model) ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with Single Central Compelx - ODE Model) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
models op Bi Bi Reaction following Ordered Mechanism with Single Central Complex ni
specialized by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Sensitivity Analysis of Complex Kinetic Systems ni
used by op Simulation of Complex Kinetic Systems ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "true"^^boolean
is linear dp "false"^^boolean
is time-continuous dp "true"^^boolean
description ap "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - substrate 1 - substrate 2 = enzyme - product 1 - product 2 - complex, enzyme - product 1 - complex and product 1 and 2 in a Bi Bi Reaction following the Ordered Mechanism with a Single Central Complex. k_{i} with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI ID ap Item: Q6675337 ep

Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionOrderedMechansimODESystemsingleCC

system of ordinary differential equations describing a bi bi reaction with an ordered mechanism and Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contains op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contains op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contains op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contains op Enzyme Concentration ni
contains op Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contains op Enzyme - Product 1 Complex Concentration ni
contains op Enzyme - Substrate 1 Complex Concentration ni
contains op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration ni
contains op Product 1 Concentration ni
contains op Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contains op Product 2 Concentration ni
contains op Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contains op Reaction Rate Constant ni
contains op Reaction Rate of Enzyme ni
contains op Reaction Rate of Enzyme - Substrate 1 Complex ni
contains op Reaction Rate of Product 1 ni
contains op Reaction Rate of Product 2 ni
contains op Reaction Rate of Substrate 1 ni
contains op Reaction Rate of Substrate 2 ni
contains op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex ni
contains op Substrate 1 Concentration ni
contains op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contains op Substrate 2 Concentration ni
contains op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contains op Time ni
defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{2} c_{ES_1} c_{S_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} c_{E} c_{S_1} + k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2} \\ \frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt} &= k_{2} c_{ES_1} c_{S_2} - k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-4} c_{EP_1} c_{P_2} - k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} \\ \frac{dc_{EP_1}}{dt} &= k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-5} c_{E} c_{P_1} - k_{-4} c_{EP_1} c_{P_2} - k_{5} c_{EP_1} \\ \frac{dc_{P_1}}{dt} &= k_{5} c_{EP_1} - k_{-5} c_{E} c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-4} c_{EP_1} c_{P_2} \\ \frac{dc_{E}}{dt} &= k_{-1} c_{ES_1} + k_5 c_{EP_1} - k_{1} c_{E} c_{S_1} - k_{-5} c_{E} c_{P_1} \\ \end{align}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{EP_1}}{dt}$, Reaction Rate of Enzyme - Product 1 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt}$, Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Enzyme - Product 1 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674174 ep

Bi Bi Reaction Ping Pong Mechanism (ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionPingPongMechansimODEModel

bi bi reaction model following a ping-pong mechanism
belongs to
Mathematical Model c
has facts
contains op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Enzyme Conservation ni
contains op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains op Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains op Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains initial condition op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains initial condition op Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains initial condition op Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
described as surveyed by op Suan (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolution ni
described by op Suan (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolution ni
models op Bi Bi Reaction following Ping Pong Mechanism ni
specialized by op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Sensitivity Analysis of Complex Kinetic Systems ni
used by op Simulation of Complex Kinetic Systems ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "true"^^boolean
is linear dp "false"^^boolean
is time-continuous dp "true"^^boolean
description ap "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, intermediate, intermediate - substrate 2 - complex, product 1 and 2) in a Bi Bi Reaction following the Ping Pong Mechanism. $k_{i}$ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI ID ap Item: Q6675346 ep

Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionPingPongMechanismMichaelisMentenModelwithProduct1SS

bi bi reaction Michaelis Menten model following a ping-pong mechanism with product 1 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1 ni
similar to op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
similar to op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
specializes op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675344 ep

Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionPingPongMechanismMichaelisMentenModelwithProduct2SS

bi bi reaction Michaelis Menten model following a ping-pong mechanism with product 2 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2 ni
similar to op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
similar to op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
specializes op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675345 ep

Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionPingPongMechanismMichaelisMentenModelwithProducts1and2SS

bi bi reaction Michaelis Menten model following a ping-pong mechanism with products 1 and 2 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2 ni
specializes op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675347 ep

Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionPingPongMechanismMichaelisMentenModelwithoutProductsSS

bi bi reaction Michaelis Menten model following a ping-pong mechanism without products formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism without Products ni
specializes op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675348 ep

Bi Bi Reaction Ping Pong Mechanism ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionPingPongMechansimODESystem

system of ordinary differential equations describing a bi bi reaction with a ping pong mechanism
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contains op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contains op Enzyme Concentration ni
contains op Enzyme Concentration ODE (Bi Bi Reaction Ping Pong) ni
contains op Enzyme - Substrate 1 Complex Concentration ni
contains op Intermediate Concentration ni
contains op Intermediate Concentration ODE (Bi Bi Reaction Ping Pong) ni
contains op Intermediate - Substrate 2 Complex Concentration ni
contains op Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contains op Product 1 Concentration ni
contains op Product 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contains op Product 2 Concentration ni
contains op Product 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contains op Reaction Rate Constant ni
contains op Reaction Rate of Enzyme ni
contains op Reaction Rate of Enzyme - Substrate 1 Complex ni
contains op Reaction Rate of Intermediate ni
contains op Reaction Rate of Intermediate - Substrate 2 Complex ni
contains op Reaction Rate of Product 1 ni
contains op Reaction Rate of Product 2 ni
contains op Reaction Rate of Substrate 1 ni
contains op Reaction Rate of Substrate 2 ni
contains op Substrate 1 Concentration ni
contains op Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contains op Substrate 2 Concentration ni
contains op Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contains op Time ni
defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-3} c_{E*S_2} - k_{3} c_{E*} c_{S_2} \\ \frac{dc_{E}}{dt} &= k_{-1} c_{ES_1} + k_{4} c_{E*S_2} - k_{1} c_{E} c_{S_1} - k_{-4} c_{E} c_{P_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} c_{E} c_{S_1} + k_{-2} c_{E*} c_{P_1} - k_{-1} c_{ES_1} - k_{2} c_{ES_1} \\ \frac{dc_{E*}}{dt} &= k_{2} c_{ES_1} + k_{-3} c_{E*S_2} - k_{-2} c_{E*} c_{P_1} - k_{3} c_{E*} c_{S_2} \\ \frac{dc_{E*S_2}}{dt} &= k_{3} c_{E*} c_{S_2} + k_{-4} c_{E} c_{P_2} - k_{-3} c_{E*S_2} - k_{4} c_{E*S_2} \\ \frac{dc_{P_1}}{dt} &= k_{2} c_{ES_1} - k_{-2} c_{E*} c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{4} c_{E*S_2} - k_{-4} c_{P_2} c_{E} \\ \end{align}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{E*S_2}}{dt}$, Reaction Rate of Intermediate - Substrate 2 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{E*}}{dt}$, Reaction Rate of Intermediate"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
in defining formulation dp "$c_{E*S_2}$, Intermediate - Substrate 2 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{E*}$, Intermediate Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674203 ep

Bi Bi Reaction Theorell-Chance Mechanism (ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionTheorellChanceMechansimODEModel

bi bi reaction model following a Theorell-Chance mechanism
belongs to
Mathematical Model c
has facts
contains op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contains op Enzyme Conservation ni
contains op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains op Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains initial condition op Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains initial condition op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
models op Bi Bi Reaction following Theorell-Chance Mechanism ni
specialized by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
specialized by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Sensitivity Analysis of Complex Kinetic Systems ni
used by op Simulation of Complex Kinetic Systems ni
description ap "Ordinary differential equations for the rates of change of all chemical species (substrate 1 and 2, enzyme, enzyme - substrate 1 - complex, enzyme - product 2 - complex, product 1 and 2) in a Bi Bi Reaction following the Theorell-Chance Mechanism. $k_{i}$ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI ID ap Item: Q6675351 ep

Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionTheorellChanceMechanismMichaelisMentenModelwithProduct1SS

bi bi reaction Michaelis Menten model following a Theorell-Chance mechanism with product 1 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 ni
similar to op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
similar to op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
specializes op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675349 ep

Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionTheorellChanceMechanismMichaelisMentenModelwithProduct2SS

bi bi reaction Michaelis Menten model following a Theorell-Chance mechanism with product 2 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 2 ni
similar to op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
similar to op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
specializes op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675350 ep

Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionTheorellChanceMechanismMichaelisMentenModelwithProducts1and2SS

bi bi reaction Michaelis Menten model following a Theorell-Chance mechanism with products 1 and 2 formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 and 2 ni
specializes op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675352 ep

Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionTheorellChanceMechanismMichaelisMentenModelwithoutProductsSS

bi bi reaction Michaelis Menten model following a Theorell-Chance mechanism without products formulated via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ni
contains op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model) ni
contains op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
contains initial condition op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ni
contains initial condition op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contains initial condition op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
models op Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism without Products ni
specializes op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
used by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675353 ep

Bi Bi Reaction Theorell-Chance Mechanism ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BiBiReactionTheorellChanceMechansimODESystem

system of ordinary differential equations describing a bi bi reaction with a Theorell-Chance mechanism
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contains op Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contains op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contains op Enzyme Concentration ni
contains op Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contains op Enzyme - Product 2 Complex Concentration ni
contains op Enzyme - Substrate 1 Complex Concentration ni
contains op Product 1 Concentration ni
contains op Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contains op Product 2 Concentration ni
contains op Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contains op Reaction Rate Constant ni
contains op Reaction Rate of Enzyme ni
contains op Reaction Rate of Enzyme - Product 2 Complex ni
contains op Reaction Rate of Enzyme - Substrate 1 Complex ni
contains op Reaction Rate of Product 1 ni
contains op Reaction Rate of Product 2 ni
contains op Reaction Rate of Substrate 1 ni
contains op Reaction Rate of Substrate 2 ni
contains op Substrate 1 Concentration ni
contains op Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contains op Substrate 2 Concentration ni
contains op Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contains op Time ni
defining formulation dp "$\begin{align} \frac{dc_{S_1}}{dt} &= k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1} \\ \frac{dc_{S_2}}{dt} &= k_{-2} c_{EP_2} c_{P_1} - k_{2} c_{ES_1} c_{S_2} \\ \frac{dc_{P_1}}{dt} &= k_{2} c_{ES_1} c_{S_2} - k_{-2} c_{EP_2} c_{P_1} \\ \frac{dc_{P_2}}{dt} &= k_{3} c_{EP_2} - k_{-3} c_{E} c_{P_2} \\ \frac{dc_{ES_1}}{dt} &= k_{1} c_{E} c_{S_1} + k_{-2} c_{EP_{2}} c_{P_1} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2} \\ \frac{dc_{EP_2}}{dt} &= k_{2} c_{ES_1} c_{S_2} + k_{-3} c_{E} c_{P_2} - k_{-2} c_{EP_2} c_{P_1} - k_3 c_{EP_2} \\ \frac{dc_{E}}{dt} &= k_{-1} c_{ES_1} + k_3 c_{EP_2} - k_{1} c_{E} c_{S_1} - k_{-3} c_{E} c_{P_2} \end{align}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{EP_2}}{dt}$, Reaction Rate of Enzyme - Product 2 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate of Enzyme - Substrate 1 Complex"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate of Enzyme"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate of Product 1"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate of Product 2"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate of Substrate 1"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate of Substrate 2"^^La Te X ep
in defining formulation dp "$c_{EP_2}$, Enzyme - Product 2 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Enzyme - Substrate 1 Complex Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Product 1 Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Product 2 Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate 1 Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate 2 Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674226 ep

Binary Decision Variableni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BinaryDecisionVariable

binary variable deciding if an object is chosen or not
belongs to
Quantity c
has facts
contained in op Binary Decision Variable ni
contains op Binary Decision Variable ni
specializes op Decision Variable ni
defining formulation dp "$x_l \equiv \left\{ \begin{array}{ll} 1 & l \textrm{is chosen}\\ o & \textrm{otherwise} \\ \end{array} \right. $"^^La Te X ep
in defining formulation dp "$x_l$, Binary Decision Variable"^^La Te X ep
description ap "In case of line pool generation, it decides if a line is included or not"@en
MaRDI ID ap Item: Q6674018 ep

Biologyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Biology

scientific study of living things, especially their structure, function, growth, evolution, and distribution
belongs to
Research Field c
has facts
specialized by op Biomechanics ni
specialized by op Biophysics ni
specialized by op Pomology ni
MaRDI ID ap Item: Q59666 ep
Wikidata ID ap Q420 ep

Biomechanicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Biomechanics

study of the structure and function of the mechanical aspects of biological systems
belongs to
Research Field c
has facts
contains op Muscle Movement ni
specializes op Biology ni
specializes op Biophysics ni
MaRDI ID ap Item: Q6684696 ep
Wikidata ID ap Q193378 ep

Biophysicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Biophysics

study of biological systems using methods from the physical sciences
belongs to
Research Field c
has facts
specialized by op Biomechanics ni
specializes op Biology ni
MaRDI ID ap Item: Q6684697 ep
Wikidata ID ap Q7100 ep

Bisswanger (2017) Enzyme Kineticsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Bisswanger_2017_Enzyme_Kinetics

publication
belongs to
Publication c
has facts
describes op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
describes survey of op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
DOI ap 9783527806461 ep

Boltzmann Approximation for Electronsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BoltzmannApproximationForElectrons

Boltzmann approximation for electrons; for use in semiconductor physics
belongs to
Mathematical Formulation c
has facts
contained in op Drift-Diffusion Model ni
contains op Band Edge Energy for Conduction Band ni
contains op Boltzmann Constant ni
contains op Density of Electrons ni
contains op Density of States for Conduction Band ni
contains op Electric Potential ni
contains op Elementary Charge ni
contains op Fermi Potential for Electrons ni
contains op Temperature ni
defining formulation dp "$n(\psi,\phi_n)=N_c\exp\left(\frac{q(\psi-\phi_n)-E_c}{k_BT}\right)$"^^La Te X ep
in defining formulation dp "$q$, Elementary Charge"
in defining formulation dp "$E_c$, Band Edge Energy for Conduction Band"^^La Te X ep
in defining formulation dp "$N_c$, Density of States for Conduction Band"^^La Te X ep
in defining formulation dp "$T$, Temperature"^^La Te X ep
in defining formulation dp "$\phi_n$, Fermi Potential for Electrons"^^La Te X ep
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
in defining formulation dp "$k_B$, Boltzmann Constant"^^La Te X ep
in defining formulation dp "$n$, Density of Electrons"^^La Te X ep
is dynamic dp "false"^^boolean
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674241 ep

Boltzmann Approximation for Holesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BoltzmannApproximationForHoles

Boltzmann approximation for holes; for use in semiconductor physics
belongs to
Mathematical Formulation c
has facts
contained in op Drift-Diffusion Model ni
contains op Band Edge Energy for Valence Band ni
contains op Boltzmann Constant ni
contains op Density of Holes ni
contains op Density of States for Valence Band ni
contains op Electric Potential ni
contains op Elementary Charge ni
contains op Fermi Potential for Holes ni
contains op Temperature ni
defining formulation dp "$p(\psi,\phi_p)=N_v\exp\left(\frac{q(\phi_p-\psi)+E_v}{k_BT}\right)$"^^La Te X ep
in defining formulation dp "$q$, Elementary Charge"
in defining formulation dp "$E_v$, Band Edge Energy for Valence Band"^^La Te X ep
in defining formulation dp "$N_v$, Density of States for Valence Band"^^La Te X ep
in defining formulation dp "$T$, Temperature"^^La Te X ep
in defining formulation dp "$\phi_p$, Fermi Potential for Holes"^^La Te X ep
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
in defining formulation dp "$k_B$, Boltzmann Constant"^^La Te X ep
in defining formulation dp "$p$, Density of Holes"^^La Te X ep
is dynamic dp "false"^^boolean
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674242 ep

Boltzmann Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BoltzmannConstant

physical constant relating the average relative thermal energy with the thermodynamic temperature
belongs to
Quantity c
has facts
contained in op Boltzmann Approximation for Electrons ni
contained in op Boltzmann Approximation for Holes ni
contained in op Classical Brownian Equation ni
contained in op Classical Langevin Equation ni
contained in op Detailed Balance Principle ni
is physical constant dp "true"^^boolean
MaRDI ID ap Item: Q6673825 ep
QUDT ID ap Boltzmann Constant ep
Wikidata ID ap Q5962 ep

Boolean Ringni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BooleanRing

in mathematics, a ring that consists of only idempotent elements
belongs to
Quantity c
has facts
contained as input in op Extract Logical Rules ni
contained in op Extract Logical Rules ni
contained in op Logical Rule Extraction Formulation ni
contained in op Object Comparison Formulation ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673833 ep
Wikidata ID ap Q2634401 ep

Boolean Variableni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BooleanVariable

data type that represents true or false values
belongs to
Quantity Kind c
has facts
specialized by op Object Property ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673698 ep
Wikidata ID ap Q520777 ep

Boundary Conditions of Electrophysiological Muscle ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Boundary_Conditions_for_Electrophysiological_Muscle_ODE_System

kinematic and dynamic conditions at the interfaces beween each muscle and the tendon
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Electrophysiological Muscle ODE System ni
contained in op Electrophysiological Muscle ODE System ni
contains op Displacement Muscle Tendon ni
contains op Material Point Displacement ni
contains op Material Point Velocity ni
contains op Stress Tensor (Piola-Kirchhoff) ni
defining formulation dp "$$\begin{array}{cccc} \mathbf{x}_{\text{M}1} = \mathbf{x}_{\text{T}}, &\dot{\mathbf{x}}_{\text{M}1} = \dot{\mathbf{x}}_{\text{T}}, & \mathbf{P}(\mathbf{F}_{\text{M}1})=\mathbf{P}(\mathbf{F}_{\text{T}}), & \text{on $\partial \Omega_{\text{M}1-\text{T}}$} \\ \mathbf{x}_{\text{M}2} = \mathbf{x}_{\text{T}}, &\dot{\mathbf{x}}_{\text{M}2} = \dot{\mathbf{x}}_{\text{T}}, & \mathbf{P}(\mathbf{F}_{\text{M}2})=\mathbf{P}(\mathbf{F}_{\text{T}}), & \text{on $\partial \Omega_{\text{M}2-\text{T}}$} \end{array}$$"^^La Te X ep
in defining formulation dp "$\dot{\mathbf{x}}$, Material Point Velocity"^^La Te X ep
in defining formulation dp "$\mathbf{P}$, Stress Tensor (Piola-Kirchhoff)"^^La Te X ep
in defining formulation dp "$\mathbf{x}$, Material Point Displacement"^^La Te X ep
in defining formulation dp "$x$, Displacement Muscle Tendon"^^La Te X ep
MaRDI ID ap Item: Q6674243 ep

Briggs (1925) A note on the kinetics of enzyme actionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Briggs_1925_A_note_on_the_kinetics_of_enzyme_action

publication
belongs to
Publication c
has facts
describes op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
describes invention of op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
DOI ap bj0190338 ep

Calculation of Deformation and Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CalculationOfDeformationAndConcentration

simultaneously compute the coupled evolution of the deformation and the concentration poro-visco-elastic material
belongs to
Computational Task c
has facts
contains op Concentration ni
contains op External Chemical Potential ni
contains op External Force Density ni
contains op Fluid Intrinsic Permeability (Porous Medium) ni
contains op Free Energy Density ni
contains op Hydraulic Conductivity ni
contains op Hyperstress Potential ni
contains op Mechanical Deformation ni
contains op Mechanical Deformation (Boundary Value) ni
contains op Poro-Visco-Elastic Diffusion Boundary Condition ni
contains op Poro-Visco-Elastic Diffusion Equation ni
contains op Poro-Visco-Elastic (Dirichlet Boundary) ni
contains op Poro-Visco-Elastic (Neumann Boundary) ni
contains op Poro-Visco-Elastic Quasistatic Equation ni
contains op Surface Force Density ni
contains op Viscous Dissipation Potential ni
contains input op External Chemical Potential ni
contains input op External Force Density ni
contains input op Fluid Intrinsic Permeability (Porous Medium) ni
contains input op Free Energy Density ni
contains input op Hydraulic Conductivity ni
contains input op Hyperstress Potential ni
contains input op Mechanical Deformation (Boundary Value) ni
contains input op Surface Force Density ni
contains input op Viscous Dissipation Potential ni
contains output op Concentration ni
contains output op Mechanical Deformation ni
uses op Poro-Visco-Elastic Model ni
description ap "For given external bulk force density, external surface force density, fixed boundary values and external chemical potential."@en
MaRDI ID ap Item: Q6684557 ep

Celestial Mechanicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CelestialMechanics

branch of astronomy that deals with the motions of objects in outer space
belongs to
Research Field c
has facts
contains op Solar System Mechanics ni
specializes op Astronomy ni
specializes op Classical Mechanics ni
specializes op Continuum Mechanics ni
description ap "Historically, celestial mechanics applies principles of physics (classical mechanics) to astronomical objects, such as stars and planets, to produce ephemeris data."@en
MaRDI ID ap Item: Q6684698 ep
Wikidata ID ap Q184274 ep

Center of Massni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CenterOfMass

unique point where the weighted relative position of a distributed mass sums to zero
belongs to
Quantity c
has facts
specializes op Position ni
alt Label ap "Center of Gravity"@en
MaRDI ID ap Item: Q6673847 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q2945123"

Center of Provinceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CenterOfProvince

centers of the respective provinces
belongs to
Quantity c
has facts
contained in op Isotropic Gaussian Function Formulation ni
MaRDI ID ap Item: Q6673848 ep

Centrifugal Distortion Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CentrifugalDistortionConstant

distortion of a molecule caused by the centrifugal force produced by rotation
belongs to
Quantity c
has facts
contained in op Quantum Eigen Energy (Linear Non-Rigid Rotor) ni
contained in op Quantum Hamiltonian (Non-Rigid Rotor) ni
description ap "This distortion leads to changes in bond distance and angles, affecting the rotational spectrum."@en
MaRDI ID ap Item: Q6673849 ep

Change In Lengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChangeInLength

difference between the current and the original (equilibrium) length
belongs to
Quantity c
has facts
contained in op Hooke Law (Spring) ni
contained in op Linear Strain ni
specialized by op Displacement Muscle Tendon ni
specializes op Length ni
MaRDI ID ap Item: Q6673850 ep
Wikidata ID ap Q91308394 ep

Change in Opinions of Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChangeInOpinionsOfIndividuals

opinion adaption of individuals over time
belongs to
Mathematical Formulation c
has facts
contained in op Opinion Model with Influencers and Media ni
contains op Interaction Force ni
contains op Noise Strength ni
contains op Opinion Vector of Individuals ni
contains op Opinion Vector of Influencers ni
contains op Opinion Vector of Media ni
contains op Time ni
contains op Wiener Process ni
defining formulation dp "$dx_i(t) = F_i(\mathbf{x}, \mathbf{y}, \mathbf{z}, t)dt + \sigma dW_i(t)$"^^La Te X ep
in defining formulation dp "$F_i(t)$, Interaction Force"^^La Te X ep
in defining formulation dp "$W_i(t)$, Wiener Process"^^La Te X ep
in defining formulation dp "$\mathbf{x}(t)$, Opinion Vector of Individuals"^^La Te X ep
in defining formulation dp "$\mathbf{y}(t)$, Opinion Vector of Media"^^La Te X ep
in defining formulation dp "$\mathbf{z}(t)$, Opinion Vector of Influencers"^^La Te X ep
in defining formulation dp "$\sigma$, Noise Strength"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "false"^^boolean
is dimensionless dp "false"^^boolean
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "Individuals i = 1,...,N adapt their opinions in time according to this stochastic differential equation (SDE)"@en
MaRDI ID ap Item: Q6674250 ep

Change in Opinions of Influencersni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChangeInOpinionsOfInfluencers

opinion adaption of influencers over time
belongs to
Mathematical Formulation c
has facts
contained in op Opinion Model with Influencers and Media ni
contains op Average Opinion of Followers of Influencers ni
contains op Inertia Parameter for Opinion Changes of Influencers ni
contains op Noise Strength ni
contains op Opinion ni
contains op Time ni
contains op Wiener Process ni
defining formulation dp "$\gamma d z_l(t)=\left(\hat{x}_l(t)-z_l(t)\right) d t+\hat{\sigma} d \hat{W}_l(t)$"^^La Te X ep
in defining formulation dp "$\gamma$, Inertia Parameter for Opinion Changes of Influencers"^^La Te X ep
in defining formulation dp "$\hat{W}_l$, Wiener Process"^^La Te X ep
in defining formulation dp "$\hat{\sigma}$, Noise Strength"^^La Te X ep
in defining formulation dp "$\hat{x}_l(t)$, Average Opinion of Followers of Influencers"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$z_l(t)$, Opinion"^^La Te X ep
is deterministic dp "false"^^boolean
is dimensionless dp "false"^^boolean
is space-continuous dp "true"^^boolean
description ap "Influencers l= 1,. . . , L slowly change their opinions in the direction of their average followership according to this Stochastic differential equation"@en
MaRDI ID ap Item: Q6674251 ep

Change in Opinions of Influencers in the Partial Mean Field Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChangeInOpinionsOfInfluencrsInThePartialFieldModel

opinion adaption of influencers over time in the partial mean field model
belongs to
Mathematical Formulation c
has facts
contained in op Partial Mean Field Opinion Model ni
contains op Average Opinion of Followers of Influencers in the Partial Mean Field Model ni
contains op Inertia Parameter for Opinion Changes of Influencers ni
contains op Noise Strength ni
contains op Opinion ni
contains op Time ni
contains op Wiener Process ni
defining formulation dp "$\gamma d z_l(t)=\left(\hat{x}_l(t)-z_l(t)\right) d t+\hat{\sigma} d \hat{W}_l(t)$"^^La Te X ep
in defining formulation dp "$\gamma$, Inertia Parameter for Opinion Changes of Influencers"^^La Te X ep
in defining formulation dp "$\hat{W}_l$, Wiener Process"^^La Te X ep
in defining formulation dp "$\hat{\sigma}$, Noise Strength"^^La Te X ep
in defining formulation dp "$\hat{x}_l$, Average Opinion of Followers of Influencers in the Partial Field Model"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$z_l$, Opinion"^^La Te X ep
is deterministic dp "false"^^boolean
description ap "Stochastic Differential equation describing the change in opinions of a given Influencer in the partial field opinion model"@en
MaRDI ID ap Item: Q6674252 ep

Change in Opinions of Mediani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChangeInOpinionsOfMedia

opinion adaption of media agents over time
belongs to
Mathematical Formulation c
has facts
contained in op Opinion Model with Influencers and Media ni
contains op Average Opinion of Followers of Media ni
contains op Inertia Parameter for Opinion Changes of Media ni
contains op Noise Strength ni
contains op Opinion ni
contains op Time ni
contains op Wiener Process ni
defining formulation dp "$\Gamma d y_m(t)=\left(\tilde{x}_m(t)-y_m(t)\right) d t+\tilde{\sigma} d \tilde{W}_m(t)$"^^La Te X ep
in defining formulation dp "$\Gamma$, Inertia Parameter for Opinion Changes of Media"^^La Te X ep
in defining formulation dp "$\tilde{W}_m$, Wiener Process"^^La Te X ep
in defining formulation dp "$\tilde{\sigma}$, Noise strength"^^La Te X ep
in defining formulation dp "$\tilde{x}_m(t)$, Average Opinion of Followers of Media"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$y_m(t)$, Opinion"^^La Te X ep
is deterministic dp "false"^^boolean
is dimensionless dp "false"^^boolean
is space-continuous dp "true"^^boolean
description ap "Media agents m = 1,...,M slowly adapt their opinions according to this stochastic differential equation such that media agents are drawn in the direction of the average opinion of their followers."@en
MaRDI ID ap Item: Q6674253 ep

Change in Opinions of Media in the Partial Mean Field Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChangeInOpinionsOfMediaInThePartialFieldModel

opinion adaption of media agents over time in the partial mean field model
belongs to
Mathematical Formulation c
has facts
contained in op Partial Mean Field Opinion Model ni
contains op Average Opinion of Followers of Media in the Partial Mean Field Model ni
contains op Inertia Parameter for Opinion Changes of Media ni
contains op Noise Strength ni
contains op Opinion ni
contains op Time ni
contains op Wiener Process ni
defining formulation dp "$\Gamma d y_m(t)=\left(\tilde{x}_m(t)-y_m(t)\right) d t+\tilde{\sigma} d \tilde{W}_m(t)$"^^La Te X ep
in defining formulation dp "$\Gamma$, Inertia Parameter for Opinion Changes of Media"^^La Te X ep
in defining formulation dp "$\tilde{W}_m$, Wiener Process"^^La Te X ep
in defining formulation dp "$\tilde{\sigma}$, Noise strength"^^La Te X ep
in defining formulation dp "$\tilde{x}_m$, Average Opinion of Followers of Media in the Partial Field Model"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$y_m$, Opinion"^^La Te X ep
is deterministic dp "false"^^boolean
description ap "Stochastic Differential equation describing the change in opinions of a given medium in the partial field opinion model"@en
MaRDI ID ap Item: Q6674254 ep

Characteristic Lengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CharacteristicLength

dimension that defines the scale of a physical system
belongs to
Quantity c
has facts
contained in op Classical Approximation ni
contained in op Reynolds Number ni
specializes op Length ni
MaRDI ID ap Item: Q6673858 ep
Wikidata ID ap Q1062974 ep

Charge Transportni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChargeTransport

transport of electric charge
belongs to
Research Problem c
has facts
contained in op Continuum Mechanics ni
modeled by op Charge Transport Model ni
specializes op Transport of Matter ni
MaRDI ID ap Item: Q6684644 ep

Charge Transport Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChargeTransportModel

simple mathematical model for the transport of electric charge
belongs to
Mathematical Model c
has facts
contains op Ohm Equation ni
models op Charge Transport ni
specializes op Transport Model ni
MaRDI ID ap Item: Q6675380 ep

Chemical Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChemicalPotential

energy that can be absorbed or released due to a change of the particle number of a given species
belongs to
Quantity c
has facts
specialized by op External Chemical Potential ni
description ap "e.g. in a chemical reaction or phase transition."@en
MaRDI ID ap Item: Q6673859 ep
Wikidata ID ap Q737004 ep

Chemical Reaction Kineticsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ChemicalReactionKinetics

study of the rates of chemical reactions
belongs to
Research Field c
has facts
specialized by op Enzyme Kinetics ni
specializes op Physical Chemistry ni
MaRDI ID ap Item: Q6684701 ep
Wikidata ID ap Q209082 ep

Civil Engineeringni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CivilEngineering

engineering discipline specializing in design, construction and maintenance of the built environment
belongs to
Research Field c
has facts
contains op Efficient Numerical Simulation of Soil-Tool Interaction ni
Wikidata ID ap Q77590 ep

Classical Accelerationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalAcceleration

rate at which the magnitude and/or direction of velocity changes with time
belongs to
Quantity c
has facts
contained in op Solar System Equations of Motion ni
specializes op Acceleration ni
MaRDI ID ap Item: Q6673860 ep
Wikidata ID ap Q11376 ep

Classical Approximationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalApproximation

classical dynamics as an approximation to quantum mechanics
belongs to
Mathematical Formulation c
has facts
assumed by op Classical Dynamics Model ni
assumed by op Classical Hamilton Equations ni
assumed by op Classical Liouville Equation ni
contains op Characteristic Length ni
contains op de Broglie Wavelength ni
defining formulation dp "$\lambda \ll L$"^^La Te X ep
in defining formulation dp "$L$, Characteristic Length"^^La Te X ep
in defining formulation dp "$\lambda$, de Broglie Wavelength"^^La Te X ep
MaRDI ID ap Item: Q6674256 ep

Classical Brownian Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalBrownianEquation

special case of an equation of motion where no average acceleration takes place
belongs to
Mathematical Formulation c
has facts
contained in op Classical Brownian Model ni
contained in op Classical Time Evolution ni
contains op Boltzmann Constant ni
contains op Classical Force ni
contains op Classical Position ni
contains op Diffusion Coefficient ni
contains op Temperature ni
contains op Time ni
contains op White Noise ni
similar to op Classical Brownian Equation ni
similar to op Classical Fokker Planck Equation ni
similar to op Classical Langevin Equation ni
specializes op Classical Langevin Equation ni
defining formulation dp "$\frac{\text{d}}{\text{d}t}q = - \frac{D}{k_\text{B} T} F(q) + \sqrt{2 D} R(t)$"^^La Te X ep
in defining formulation dp "$D$, Diffusion Constant"^^La Te X ep
in defining formulation dp "$F$, Classical Force"^^La Te X ep
in defining formulation dp "$R(t)$, White Noise"^^La Te X ep
in defining formulation dp "$T$, Temperature"^^La Te X ep
in defining formulation dp "$k_\text{B}$, Boltzmann Constant"^^La Te X ep
in defining formulation dp "$q$, Classical Position"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "false"^^boolean
is dynamic dp "true"^^boolean
alt Label ap "Langevin Equation Without Inertia."@en
alt Label ap "Overdamped Langevin Equation"@en
MaRDI ID ap Item: Q6674258 ep
Wikidata ID ap Q178036 ep

Classical Brownian Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalBrownianModel

mathematical model for describing molecular systems in the diffusive regime
belongs to
Mathematical Model c
has facts
contains op Classical Brownian Equation ni
models op Molecular Dynamics ni
similar to op Classical Brownian Model ni
similar to op Classical Fokker Planck Model ni
similar to op Classical Langevin Model ni
specializes op Classical Langevin Model ni
used by op Classical Time Evolution ni
is deterministic dp "false"^^boolean
is dynamic dp "true"^^boolean
alt Label ap "overdamped Langevin dynamics"@en
MaRDI ID ap Item: Q6675382 ep
Wikidata ID ap Q4976526 ep

Classical Density (Phase Space)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalDensityPhaseSpace

probability that the system will be found in the infinitesimal phase space volume
belongs to
Quantity c
has facts
contained in op Classical Liouville Equation ni
contained in op Initial Classical Density ni
specializes op Probability Distribution ni
specializes op Quantum Density Operator ni
specializes op Quantum Mechanical Operator ni
MaRDI ID ap Item: Q6673866 ep

Classical Fokker Planck Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalFokkerPlanckEquation

partial differential equation describing the dynamics of a probability density of the velocity of a particle under the influence of drag forces and random forces
belongs to
Mathematical Formulation c
has facts
contained in op Classical Fokker Planck Model ni
contained in op Classical Time Evolution ni
contains op Classical Position ni
contains op Control System Input ni
contains op Diffusion Coefficient ni
contains op Drift (Velocity) ni
contains op Probability Distribution ni
contains op Time ni
similar to op Classical Brownian Equation ni
similar to op Classical Fokker Planck Equation ni
similar to op Classical Langevin Equation ni
specialized by op Fick Equation ni
defining formulation dp "$\frac{\partial}{\partial t} p(x, t) = -\frac{\partial}{\partial x}\left[(\mu(x, t)-u) p(x, t)\right] + \frac{\partial^2}{\partial x^2}\left[D(x, t) p(x, t)\right]$"^^La Te X ep
in defining formulation dp "$D$, Diffusion constant"^^La Te X ep
in defining formulation dp "$\mu$, Drift"^^La Te X ep
in defining formulation dp "$p$, Probability Distribution"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u_t$, Control System Input"^^La Te X ep
in defining formulation dp "$x$, Classical Position"^^La Te X ep
description ap "For vanishing drift and constant diffusion, the Fokker Planck equation yield's Fick's first law of diffusion."@en
description ap "Note the external forcing which connects the FPE to the model order reduction and/or optimal control tasks."@en
MaRDI ID ap Item: Q6674263 ep
Wikidata ID ap Q891766 ep

Classical Fokker Planck Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalFokkerPlanckModel

dynamics of a probability density of the velocity of a particle under the influence of drag forces and random forces
belongs to
Mathematical Model c
has facts
contains op Classical Fokker Planck Equation ni
similar to op Classical Brownian Model ni
similar to op Classical Fokker Planck Model ni
similar to op Classical Langevin Model ni
specialized by op Diffusion Model ni
used by op Balanced Truncation (Bi-linear) ni
used by op Classical Time Evolution ni
used by op H2 Optimal Approximation (Bi-linear) ni
used by op Optimal Control ni
MaRDI ID ap Item: Q6675384 ep
Wikidata ID ap Q891766 ep

Classical Forceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalForce

vector quantity that describes the ability of an action to modify the movement and shape of an object
belongs to
Quantity c
has facts
contained as parameter in op Classical Time Evolution ni
contained in op Classical Brownian Equation ni
contained in op Classical Hamilton Equations (Leap Frog) ni
contained in op Classical Langevin Equation ni
contained in op Classical Newton Equation ni
contained in op Classical Newton Equation (Stoermer Verlet) ni
contained in op Classical Time Evolution ni
contained in op Lorentz Force Equation (Non-Relativistic) ni
specializes op Force ni
MaRDI ID ap Item: Q6673862 ep
Wikidata ID ap Q11402 ep

Classical Hamilton Equationsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalHamiltonEquations

classical equations of motion for systems described by a classical Hamilton function specifying the total energy
belongs to
Mathematical Formulation c
has facts
assumes op Classical Approximation ni
contained in op Classical Dynamics Model ni
contained in op Classical Time Evolution ni
contains op Classical Hamilton Function ni
contains op Classical Momentum ni
contains op Classical Position ni
contains op Time ni
discretized by op Classical Hamilton Equations (Leap Frog) ni
specialized by op Classical Newton Equation ni
specializes op Liouville-von Neumann Equation ni
specializes op Schrödinger Equation (Time Dependent) ni
defining formulation dp "$\begin{align} \frac{\mathrm{d}\boldsymbol{q}}{\mathrm{d}t} &=& +\frac{\partial \mathcal{H}}{\partial \boldsymbol{p}} \\ \frac{\mathrm{d}\boldsymbol{p}}{\mathrm{d}t} &=& -\frac{\partial \mathcal{H}}{\partial \boldsymbol{q}} \end{align}$"^^La Te X ep
in defining formulation dp "$H$, Classical Hamilton Function"^^La Te X ep
in defining formulation dp "$p$, Classical Momentum"^^La Te X ep
in defining formulation dp "$q$, Classical Position"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "Hamiltonian mechanics emerged in 1833 as a reformulation of Lagrangian mechanics. Introduced by Sir William Rowan Hamilton, Hamiltonian mechanics replaces (generalized) velocities used in Lagrangian mechanics with (generalized) momenta. Both theories provide interpretations of classical mechanics and describe the same physical phenomena."@en
MaRDI ID ap Item: Q6674257 ep
Wikidata ID ap Q1115699 ep

Classical Hamilton Equations (Leap Frog)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalHamiltonEquationsLeapFrog

leap frog scheme for time-discretization of Hamilton's equations of motion
belongs to
Mathematical Formulation c
has facts
contains op Classical Force ni
contains op Classical Momentum ni
contains op Classical Position ni
contains op Euler Forward Method ni
contains op Mass ni
contains op Time ni
contains op Time Step ni
discretizes op Classical Hamilton Equations ni
similar to op Classical Hamilton Equations (Leap Frog) ni
similar to op Schrödinger Equation (Strang-Marchuk) ni
defining formulation dp "$\begin{align} p(t+\tau/2) &=& p(t)+\tau F(q(t))/2 \\ q(t+\tau) &=& q(t)+\tau p(t+\tau/2)/m \\ p(t+\tau) &=& p(t+\tau/2)+\tau F(q(t+\tau))/2 \end{align}$"^^La Te X ep
in defining formulation dp "$F$, Classical Forces"^^La Te X ep
in defining formulation dp "$\tau$, Time Step"^^La Te X ep
in defining formulation dp "$m$, Mass"^^La Te X ep
in defining formulation dp "$p$, Classical Momentum"^^La Te X ep
in defining formulation dp "$q$, Classical Position"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674264 ep

Classical Hamilton Functionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalHamiltonFunction

function of generalized positions and momenta in Hamiltonian mechanics, specifying the total energy of a system
belongs to
Quantity c
has facts
contained in op Classical Hamilton Equations ni
contained in op Classical Liouville Equation ni
specializes op Energy ni
specializes op Quantum Hamiltonian Operator ni
specializes op Quantum Mechanical Operator ni
MaRDI ID ap Item: Q6673870 ep
Wikidata ID ap Q360356 ep

Classical Langevin Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalLangevinEquation

same as (classical) Newton's equation of motion, but with additional terms for friction|damping and for stochastic collisions added
belongs to
Mathematical Formulation c
has facts
contained in op Classical Langevin Model ni
contained in op Classical Time Evolution ni
contains op Boltzmann Constant ni
contains op Classical Force ni
contains op Classical Position ni
contains op Friction Coefficient ni
contains op Mass ni
contains op Temperature ni
contains op Time ni
contains op White Noise ni
similar to op Classical Brownian Equation ni
similar to op Classical Fokker Planck Equation ni
similar to op Classical Langevin Equation ni
specialized by op Classical Brownian Equation ni
specialized by op Classical Newton Equation ni
defining formulation dp "$M\frac{\mathrm{d^2}}{\mathrm{d}t^2} \vec{q} = F(q) - \gamma \frac{\mathrm{d}}{\mathrm{d}t}{q} + \sqrt{2 \gamma k_B T} R(t)$"^^La Te X ep
in defining formulation dp "$F$, Classical Force"^^La Te X ep
in defining formulation dp "$M$, Mass"^^La Te X ep
in defining formulation dp "$R(t)$, White Noise"^^La Te X ep
in defining formulation dp "$T$, Temperature"^^La Te X ep
in defining formulation dp "$\gamma$, Friction Coefficient"^^La Te X ep
in defining formulation dp "$k_B$, Boltzmann Constant"^^La Te X ep
in defining formulation dp "$q$, Classical Position"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "false"^^boolean
is dynamic dp "true"^^boolean
description ap "Note that a Langevin equation can be reformulated as a Fokker–Planck equation governing a probability distribution"@en
MaRDI ID ap Item: Q6674259 ep
Wikidata ID ap Q584537 ep

Classical Langevin Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalLangevinModel

mathematical model typically used to describe the dynamics of systems subject to a combination of deterministic and fluctuating forces
belongs to
Mathematical Model c
has facts
contains op Classical Langevin Equation ni
models op Molecular Dynamics ni
similar to op Classical Brownian Model ni
similar to op Classical Fokker Planck Model ni
similar to op Classical Langevin Model ni
specialized by op Classical Brownian Model ni
used by op Classical Time Evolution ni
is deterministic dp "false"^^boolean
is dynamic dp "true"^^boolean
description ap "The approach is characterized by the use of simplified models while accounting for omitted degrees of freedom only implicitly, i.e., by the use of stochastic differential equations."@en
MaRDI ID ap Item: Q6675383 ep
Wikidata ID ap Q6485978 ep

Classical Liouville Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalLiouvilleEquation

partial differential equation for the that time rate of change of density of points in phase space
belongs to
Mathematical Formulation c
has facts
assumes op Classical Approximation ni
contained in op Classical Dynamics Model ni
contained in op Classical Time Evolution ni
contains op Classical Density (Phase Space) ni
contains op Classical Hamilton Function ni
contains op Classical Momentum ni
contains op Classical Position ni
contains op Time ni
specializes op Liouville-von Neumann Equation ni
defining formulation dp "$\frac{d\rho}{dt}=\frac{\partial\rho}{\partial t}+\sum_{i=1}^n\left(\frac{\partial\rho}{\partial q_i}\dot{q}_i+\frac{\partial\rho}{\partial p_i}\dot{p}_i\right)$"^^La Te X ep
in defining formulation dp "$H$, Classical Hamilton Function"^^La Te X ep
in defining formulation dp "$\rho$, Classical Density (Phase Space)"^^La Te X ep
in defining formulation dp "$p$, Classical Momentum"^^La Te X ep
in defining formulation dp "$q$, Classical Position"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
description ap "Consider a Hamiltonian dynamical system with canonical coordinates and conjugate momenta. Then the phase space distribution determines the probability that the system will be found in the infinitesimal phase space volume."@en
description ap "Note the similarity with the quantum Liouville (von Neumann) equation where the Poisson brackets {.,.} are replaced by commutator brackets [.,.]"@en
MaRDI ID ap Item: Q6674267 ep
Wikidata ID ap Q766722 ep

Classical Mechanicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalMechanics

sub-field of mechanics, which is concerned with the set of physical laws describing the motion of bodies under the action of a system of forces
belongs to
Research Field c
has facts
contains op Gravitational Effects on Fruit ni
specialized by op Celestial Mechanics ni
specializes op Continuum Mechanics ni
MaRDI ID ap Item: Q6684699 ep
Wikidata ID ap Q11397 ep

Classical Newton Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalNewtonEquation

fundamental equation in classical mechanics that describe the motion of objects under the influence of forces
belongs to
Mathematical Formulation c
has facts
contained in op Classical Dynamics Model ni
contained in op Classical Time Evolution ni
contained in op Schrödinger-Newton Equation ni
contains op Classical Force ni
contains op Classical Position ni
contains op Mass ni
contains op Time ni
discretized by op Classical Newton Equation (Stoermer Verlet) ni
specializes op Classical Hamilton Equations ni
specializes op Classical Langevin Equation ni
specializes op Liouville-von Neumann Equation ni
specializes op Schrödinger Equation (Time Dependent) ni
defining formulation dp "$\frac{\mathrm{d^2}}{\mathrm{d}t^2} \vec{q} = \vec{F} / m$"^^La Te X ep
in defining formulation dp "$F$, Classical Force"^^La Te X ep
in defining formulation dp "$m$, Mass"^^La Te X ep
in defining formulation dp "$q$, Classical Position"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "when a body is acted upon by a force, the time rate of change of its momentum equals the force"@en
MaRDI ID ap Item: Q6674260 ep
Wikidata ID ap Q2397319 ep

Classical Newton Equation (Stoermer Verlet)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClassicalNewtonEquationStoermerVerlet

sympletic, reversible time-discretization of Newton's equations of motion
belongs to
Mathematical Formulation c
has facts
contains op Classical Force ni
contains op Classical Position ni
contains op Euler Backward Method ni
contains op Euler Forward Method ni
contains op Mass ni
contains op Time ni
contains op Time Step ni
discretizes op Classical Newton Equation ni
similar to op Classical Newton Equation (Stoermer Verlet) ni
similar to op Schrödinger Equation (Second Order Differencing) ni
defining formulation dp "$q(t+\tau)=2q(t)-q(t-\tau)+\tau^2F(q(t))/M$"^^La Te X ep
in defining formulation dp "$F$, Classical Forces"^^La Te X ep
in defining formulation dp "$\tau$, Time Step"^^La Te X ep
in defining formulation dp "$m$, Mass"^^La Te X ep
in defining formulation dp "$q$, Classical Position"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is time-continuous dp "false"^^boolean
description ap "Originally discovered already by Newton: Essentially a symmetric (and symplectic!) combination of Euler forward and backward methods"@en
DOI ap Phys Rev.159.98 ep
MaRDI ID ap Item: Q6674268 ep
Wikidata ID ap Q5475314 ep

Closed System Approximationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ClosedSystemApproximation

assuming that a quantum system does not interact with its environment
belongs to
Mathematical Formulation c
has facts
assumed by op Schrödinger Equation (Time Dependent) ni
assumed by op Schrödinger Equation (Chebychev Polynomial) ni
contains op Quantum Damping Rate ni
defining formulation dp "$\gamma \rightarrow 0$"^^La Te X ep
in defining formulation dp "$\gamma$, Quantum Damping Rate"^^La Te X ep
description ap "Note that dissipation as well as dephasing (or more formally: the corresponding rates in the Lindblad equation) are neglected."@en
MaRDI ID ap Item: Q6534354 ep
Wikidata ID ap Q4476520 ep

Coefficient Scaling Infectious to Exposedni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CoefficientScalingInfectiousToExposed

coefficient scales the number of infectious to estimate the number of exposed individuals
belongs to
Quantity c
has facts
contained in op Integral of the Population Density Fraction of Exposed (Initial Condition) ni
contained in op Integral of the Population Density Fraction of Susceptibles (Initial Condition) ni
contained in op Number of Exposed Individuals Formulation ni
contained in op Number of Susceptible Individuals Formulation ni
MaRDI ID ap Item: Q6673874 ep

Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CompetitiveInhibitionConstantUniUniReactionReversibleInhibition

constant for the competitive inhibition in an uni uni reaction
belongs to
Quantity c
has facts
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contained in op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
defining formulation dp "$K_{ic} \equiv \frac{k_{-3}}{k_3}$"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$k_3$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673875 ep

Complex Number (Dimensionless)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ComplexDimensionless

number that can be put in the form a + bi, where a and b are real numbers and i is called the imaginary unit
belongs to
Quantity Kind c
has facts
specialized by op Imaginary Unit ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673708 ep
Wikidata ID ap Q11567 ep

Complexed Enzyme Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ComplexedEnzymeConcentration

amount of enzyme that is bound to its substrate, product, or intermediates in a reaction environment
belongs to
Quantity c
has facts
contained in op Enzyme Conservation ni
contained in op Irreversibility Assumption ni
contained in op Steady State Assumption ni
specialized by op Enzyme-Substrate Complex Concentration ni
specializes op Concentration ni
specializes op Enzyme Concentration ni
MaRDI ID ap Item: Q6673876 ep

Computational Social Scienceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ComputationalSocialScience

academic sub-discipline concerned with computational approaches to the social sciences
belongs to
Research Field c
has facts
contains op Opinion Dynamics ni
MaRDI ID ap Item: Q6684703 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q16909867"

Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Concentration

abundance of a constituent divided by the total volume of a mixture
belongs to
Quantity Kind c
has facts
contained as output in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme Concentration ODE (Uni Uni Reaction) ni
contained in op Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction) ni
contained in op Fick Equation ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) ni
contained in op Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) ni
contained in op Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with Single Central Compelx - ODE Model) ni
contained in op Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model) ni
contained in op Initial Product Concentration (Uni Uni Reaction with Product) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Intermediate Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
contained in op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
contained in op Mass Action Law ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
contained in op Poro-Visco-Elastic Diffusion Boundary Condition ni
contained in op Poro-Visco-Elastic Diffusion Equation ni
contained in op Poro-Visco-Elastic (Neumann Boundary) ni
contained in op Poro-Visco-Elastic Quasistatic Equation ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Product Concentration ODE (Uni Uni Reaction) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Substrate Concentration ODE (Uni Uni Reaction) ni
contained in op Uni Uni Reaction ODE System ni
specialized by op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
specialized by op Complexed Enzyme Concentration ni
specialized by op Enzyme Concentration ni
specialized by op Enzyme - Product 1 Complex Concentration ni
specialized by op Enzyme - Product 1 - Product 2 Complex Concentration ni
specialized by op Enzyme - Product 2 Complex Concentration ni
specialized by op Enzyme - Substrate 1 Complex Concentration ni
specialized by op Enzyme - Substrate 1 - Substrate 2 Complex Concentration ni
specialized by op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration ni
specialized by op Enzyme-Substrate Complex Concentration ni
specialized by op Inhibitor Concentration ni
specialized by op Intermediate Concentration ni
specialized by op Intermediate - Substrate 2 Complex Concentration ni
specialized by op Michaelis Constant ni
specialized by op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
specialized by op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
specialized by op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
specialized by op Product 1 Concentration ni
specialized by op Product 2 Concentration ni
specialized by op Product Concentration ni
specialized by op Substrate 1 Concentration ni
specialized by op Substrate 2 Concentration ni
specialized by op Substrate Concentration ni
MaRDI ID ap Item: Q6673699 ep
QUDT ID ap Amount Of Substance Concentration.html ep
Wikidata ID ap Q3686031 ep

Condition for Positive Solutions in the Multi-Population SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConditionForPositiveSolutionsInTheMultiPopulationSIModel

posiive solution consraint
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Multi-Population Discrete Susceptible Infectious Model ni
contained in op Multi-Population Discrete Susceptible Infectious Model ni
contains op Contact Rate Between Two Groups ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$max_i\{\textstyle\sum_{k=1}^K\alpha_{ik}\Delta t N^k/N^i \} \leq 1$"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate Between Two Groups"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674271 ep

Condition for Positive Solutions in the Multi-Population SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConditionForPositiveSolutionsInTheMultiPopulationSIRModel

posiive solution consraint
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Multi-Population Discrete Susceptible Infectious Removed Model ni
contained in op Multi-Population Discrete Susceptible Infectious Removed Model ni
contains op Contact Rate Between Two Groups ni
contains op Relative Removal Rate ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$max_i\{\textstyle\sum_{k=1}^K\alpha_{ik}\Delta t N^k/N^i, \gamma_i \Delta t \} \leq 1$"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate Between Two Groups"^^La Te X ep
in defining formulation dp "$\gamma_i$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674272 ep

Condition for Positive Solutions in the Multi-Population SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConditionForPositiveSolutionsInTheMultiPopulationSISModel

posiive solution consraint
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Multi-Population Discrete Susceptible Infectious Susceptible Model ni
contained in op Multi-Population Discrete Susceptible Infectious Susceptible Model ni
contains op Between Population Contact Rate ni
contains op Relative Removal Rate ni
contains op Time Step ni
defining formulation dp "$\max_{i} \{a_i, \gamma_i \Delta t\} \leq 1$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\gamma_i$, Relative Removal rate"^^La Te X ep
in defining formulation dp "$a_i$, Between Population Contact Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674273 ep

Condition for Positive Solutions in the SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConditionForPositiveSolutionsInTheSIRModel

posiive solution consraint
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Discrete Susceptible Infectious Removed Model ni
contained in op Discrete Susceptible Infectious Removed Model ni
contains op Contact Rate ni
contains op Relative Removal Rate ni
contains op Time Step ni
defining formulation dp "$max\{\gamma \Delta t, \alpha \Delta t \} \leq 1$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
description ap "The time step must be less than the average time required for a successful contact and less than the average infectious period."@en
MaRDI ID ap Item: Q6674274 ep

Condition for Positive Solutions in the SIR Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConditionForPositiveSolutionsInTheSIRModelWithBirthsAndDeaths

posiive solution consraint
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Susceptible Infectious Removed Model with Births and Deaths ni
contained in op Susceptible Infectious Removed Model with Births and Deaths ni
contains op Birth Rate ni
contains op Relative Removal Rate ni
contains op Time Step ni
defining formulation dp "$(\gamma +\beta) \Delta t \leq 1$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674275 ep

Condition for Positive Solutions in the SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConditionForPositiveSolutionsInTheSISModel

posiive solution consraint
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Discrete Susceptible Infectious Susceptible Model ni
contained in op Discrete Susceptible Infectious Susceptible Model ni
contains op Relative Removal Rate ni
contains op Time Step ni
defining formulation dp "$\gamma \Delta t \leq 1$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674276 ep

Condition for Positive Solutions in the SIS Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConditionForPositiveSolutionsInTheSISModelWithBirthsAndDeaths

posiive solution consraint
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Susceptible Infectious Susceptible Model with Births and Deaths ni
contained in op Susceptible Infectious Susceptible Model with Births and Deaths ni
contains op Birth Rate ni
contains op Relative Removal Rate ni
contains op Time Step ni
defining formulation dp "$(\gamma + \beta) \Delta t \leq 1$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674277 ep

Condition to Keep Susceptibles Positiveni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConditionToKeepSusceptiblesPositive

posiive solution consraint
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Discrete Susceptible Infectious Model ni
contained in op Discrete Susceptible Infectious Model ni
contains op Contact Rate ni
contains op Time Step ni
defining formulation dp "$\alpha \Delta t \leq 1$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is time-continuous dp "false"^^boolean
description ap "Necessary and sufficient condition to ensure that S_n, is positive for all initial conditions (and I_n < N). Implies that the time step At must be less than the average time required for a successful contact."@en
MaRDI ID ap Item: Q6674278 ep

Conservation Lawni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConservationLaw

scientific law regarding conservation of a physical property
belongs to
Mathematical Formulation c
has facts
specialized by op Conservation of City Numbers ni
specialized by op Constant Population Size ni
specialized by op Continuity Equation ni
specialized by op Continuity Equation for Electrons ni
specialized by op Continuity Equation for Holes ni
specialized by op Mass Balance Law ni
MaRDI ID ap Item: Q6674279 ep
Wikidata ID ap Q205805 ep

Conservation of City Numbersni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConservationOfCityNumbers

conservation of city numbers in every region m
belongs to
Mathematical Formulation c
has facts
contained in op Susceptible Infectious Epidemic Spreading ODE System ni
contains op Number of Cities ni
contains op Number of Infected Cities ni
contains op Number of Susceptible Cities ni
contains op Time ni
specializes op Conservation Law ni
defining formulation dp "$i_m(t) = P_m - s_m(t)$"^^La Te X ep
in defining formulation dp "$P_m$, Number of Cities"^^La Te X ep
in defining formulation dp "$i_m(t)$, Number of Infected Cities"^^La Te X ep
in defining formulation dp "$s_m(t)$, Number of Susceptible Cities"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "true"^^boolean
MaRDI ID ap Item: Q6674280 ep

Constant Population Sizeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ConstantPopulationSize

total population size remains constant
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Discrete Susceptible Infectious Model ni
contained in op Discrete Susceptible Infectious Model ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
specializes op Conservation Law ni
defining formulation dp "$S_n + I_n \approx N, n = 1,2,...$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Number of Susceptible Individuals"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674281 ep

Contact Networkni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContactNetwork

contact network for regions
belongs to
Quantity c
has facts
contained as parameter in op Romanization Time Evolution ni
contained in op Contact Network ni
contained in op Contact Network Constraint ni
contained in op Loss Function Minimization ni
contained in op Romanization Time Evolution ni
contained in op Susceptible Cities ODE ni
contained in op Susceptible Infectious Epidemic Spreading ODE System ni
contained in op Contact Network (Time-dependent) ni
contains op Contact Network ni
contains op Number of Cities ni
contains op Region ni
contains op Region Connectivity ni
defining formulation dp "$G_{m,n} \equiv \begin{cases} \frac{W_{m,n}}{P_m} + \frac{W_{n,m}}{P_n} \quad &\text{for} \quad m \neq n \\ \frac{W_{m,m}}{P_m} \quad &\text{for} \quad m = n \end{cases}$"^^La Te X ep
in defining formulation dp "$G$, Contact Network"^^La Te X ep
in defining formulation dp "$P$, Number of Cities"^^La Te X ep
in defining formulation dp "$W$, Region Connectivity"^^La Te X ep
in defining formulation dp "$m$, Region"^^La Te X ep
in defining formulation dp "$n$, Region"^^La Te X ep
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673883 ep

Contact Network (Time-dependent)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TimeDependentContactNetwork

tuple of spreading rate and contact network interpreted as time-evolving contact network
belongs to
Quantity c
has facts
contained as output in op Romanization Parameter Estimation ni
contained in op Spreading Curve (Approximate, Formulation) ni
contained in op Loss Function Minimization ni
contained in op Loss Function (Romanization) ni
contained in op Romanization Parameter Estimation ni
contained in op Contact Network (Time-dependent) ni
contains op Contact Network ni
contains op Spreading Rate (Time-dependent) ni
contains op Time ni
contains op Contact Network (Time-dependent) ni
defining formulation dp "$\sigma \equiv (G,\alpha)$"^^La Te X ep
in defining formulation dp "$G$, Contact Network"^^La Te X ep
in defining formulation dp "$\alpha$, Spreading Rate (Time-dependent)"^^La Te X ep
in defining formulation dp "$\sigma$, Contact Network (Time-dependent)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673752 ep

Contact Network Constraintni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContactNetworkConstraint

constraints applying to contact network
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Romanization Parameter Estimation ni
contained in op Romanization Parameter Estimation ni
contains op Contact Network ni
contains op Region ni
defining formulation dp "$\forall \, m\ne n,\, 0\le G_{m,n} \le 2, \text { and } 0\le G_{m,m} \le 1$"^^La Te X ep
in defining formulation dp "$G$, Contact Network"
in defining formulation dp "$m$, Region"^^La Te X ep
in defining formulation dp "$n$, Region"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
MaRDI ID ap Item: Q6674282 ep

Contact Point Of Particlesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContactPointOfParticles

global position of the contact point of two particles
belongs to
Quantity c
has facts
contained in op Coulomb Friction Condition Between Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
specializes op Position ni

Contact Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContactRate

average number of individuals with whom an infectious individual makes sufficient contact (to pass infection) during a unit time
belongs to
Quantity c
has facts
contained in op Between Population Contact Rate ni
contained in op Condition for Positive Solutions in the SIR Model ni
contained in op Condition to Keep Susceptibles Positive ni
contained in op Continuous Rate of Change of Infectious in the SI Model ni
contained in op Continuous Rate of Change of Infectious in the SIR Model ni
contained in op Continuous Rate of Change of Infectious in the SIS Model ni
contained in op Continuous Rate of Change of Susceptibles in the SI Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIR Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIS Model ni
contained in op Infectious at Time Step n+1 in the SI Model ni
contained in op Infectious at Time Step n+1 in the SIR Model ni
contained in op Infectious at Time Step n+1 in the SIR Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model with Births and Deaths ni
contained in op Second Condition for Positive Solutions in the SIR Model with Births and Deaths ni
contained in op Second Condition for Positive Solutions in the SIS Model ni
contained in op Second Condition for Positive Solutions in the SIS Model with Births and Deaths ni
contained in op Susceptibles at Time Step n+1 in the Discrete SI Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model ni
specializes op Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673793 ep

Continuity Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuityEquation

equation constraining a quantity to flow only via adjacent locations; can express a locality principle
belongs to
Mathematical Formulation c
has facts
contains op Particle Flux Density ni
contains op Particle Number Density ni
specialized by op Continuity Equation for Electrons ni
specialized by op Continuity Equation for Holes ni
specializes op Conservation Law ni
defining formulation dp "$ {\delta \rho / \delta t} + \nabla \cdot j = 0$"^^La Te X ep
in defining formulation dp "$\rho$, Particle Number Density"^^La Te X ep
in defining formulation dp "$j$, Particle Flux Density"^^La Te X ep
MaRDI ID ap Item: Q6674283 ep
Wikidata ID ap Q217219 ep

Continuity Equation for Electronsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuityEquationForElectrons

continuity equation for electrons; for use in semiconductor physics
belongs to
Mathematical Formulation c
has facts
contained in op Drift-Diffusion Model ni
contains op Electric Current Density of Electrons ni
contains op Electric Potential ni
contains op Elementary Charge ni
contains op Fermi Potential for Electrons ni
contains op Fermi Potential for Holes ni
contains op Recombination of Electron Hole Pairs ni
discretized by op Continuity Equation for Electrons (Finite Volume) ni
specializes op Conservation Law ni
specializes op Continuity Equation ni
defining formulation dp "$\nabla \cdot j_n=qR(\psi,\phi_n,\phi_p)$"^^La Te X ep
in defining formulation dp "$R$, Recombination of Electron Hole Pairs"^^La Te X ep
in defining formulation dp "$\phi_n$, Fermi Potential for Electrons"^^La Te X ep
in defining formulation dp "$\phi_p$, Fermi Potential for Holes"^^La Te X ep
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
in defining formulation dp "$j_n$, Electric Current Density of Electrons"^^La Te X ep
in defining formulation dp "$q$, Elementary Charge"^^La Te X ep
is dynamic dp "false"^^boolean
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674284 ep

Continuity Equation for Electrons (Finite Volume)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuityEquationForElectronsFiniteVolume

used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system
belongs to
Mathematical Formulation c
has facts
contained in op Scharfetter-Gummel Scheme ni
contains op Control Volume ni
discretizes op Continuity Equation for Electrons ni
specializes op Finite Volume Method ni
defining formulation dp "$j_{n;k,k+1}-j_{n;k-1,k}=qR(\psi_k,\phi_{n;k},\phi_{p;k})|\omega_k|$"^^La Te X ep
in defining formulation dp "$\omega_k$, Control Volume"^^La Te X ep
is space-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674286 ep

Continuity Equation for Holesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuityEquationForHoles

continuity equation for holes; for use in semiconductor physics
belongs to
Mathematical Formulation c
has facts
contained in op Drift-Diffusion Model ni
contains op Electric Current Density of Holes ni
contains op Electric Potential ni
contains op Elementary Charge ni
contains op Fermi Potential for Electrons ni
contains op Fermi Potential for Holes ni
contains op Recombination of Electron Hole Pairs ni
discretized by op Continuity Equation for Holes (Finite Volume) ni
specializes op Conservation Law ni
specializes op Continuity Equation ni
defining formulation dp "$\nabla \cdot j_p=-qR(\psi,\phi_n,\phi_p)$"^^La Te X ep
in defining formulation dp "$R$, Recombination of Electron Hole Pairs"^^La Te X ep
in defining formulation dp "$\phi_n$, Fermi Potential for Electrons"^^La Te X ep
in defining formulation dp "$\phi_p$, Fermi Potential for Holes"^^La Te X ep
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
in defining formulation dp "$j_p$, Electric Current Density of Holes"^^La Te X ep
in defining formulation dp "$q$, Elementary Charge"^^La Te X ep
is dynamic dp "false"^^boolean
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674285 ep

Continuity Equation for Holes (Finite Volume)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuityEquationForHolesFiniteVolume

used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system
belongs to
Mathematical Formulation c
has facts
contained in op Scharfetter-Gummel Scheme ni
contains op Control Volume ni
discretizes op Continuity Equation for Holes ni
specializes op Finite Volume Method ni
defining formulation dp "$j_{p;k,k+1}-j_{p;k-1,k}=-qR(\psi_k,\phi_{n;k},\phi_{p;k})|\omega_k|$"^^La Te X ep
in defining formulation dp "$\omega_k$, Control Volume"^^La Te X ep
is space-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674287 ep

Continuity of the Normal Mass Fluxni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuityOfTheNormalMassFlux

continuity condition to be used as boundary condition within Stokes Darcy hybrid models
belongs to
Mathematical Formulation c
has facts
contained in op Stokes Darcy Coupling Conditions ni
contains op Fluid Velocity (Free Flow) ni
contains op Fluid Velocity (Porous Medium) ni
contains op Unit Normal Vector ni
defining formulation dp "$[v \cdot n]^{pm} = -[v \cdot n]^{ff} \quad \mathrm{on} \quad \Gamma$"^^La Te X ep
in defining formulation dp "$n$, Normal Unit Vector"^^La Te X ep
in defining formulation dp "$v^{ff}$, Fluid Velocity (Free Flow)"^^La Te X ep
in defining formulation dp "$v^{pm}$, Fluid Velocity (Porous Medium)"^^La Te X ep
MaRDI ID ap Item: Q6674288 ep

Continuity of the Normal Stressesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuityOfTheNormalStresses

continuity condition to be used as boundary condition within Stokes Darcy hybrid models
belongs to
Mathematical Formulation c
has facts
contained in op Stokes Darcy Coupling Conditions ni
contains op Fluid Pressure (Free Flow) ni
contains op Fluid Pressure (Porous Medium) ni
contains op Fluid Viscous Stress ni
contains op Unit Normal Vector ni
defining formulation dp "$n \cdot [(p I-\tau)n]^{ff} = [p]^{pm} \quad \mathrm{on} \quad \Gamma$"^^La Te X ep
in defining formulation dp "$\tau$, Fluid Viscous Stress"^^La Te X ep
in defining formulation dp "$n$, Unit Normal Vector"^^La Te X ep
in defining formulation dp "$p^{ff}$, Fluid Pressure (Free Flow)"^^La Te X ep
in defining formulation dp "$p^{pm}$, Fluid Pressure (Porous Medium)"^^La Te X ep
MaRDI ID ap Item: Q6674289 ep

Continuous Rate of Change of Infectious in the SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuousRateOfChangeOfInfectiousInTheSIModel

rate of change of infectious individuals in the continuous-time SI model
belongs to
Mathematical Formulation c
has facts
contained in op Continuous Susceptible Infectious Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time ni
contains op Total Population Size ni
discretized by op Susceptibles at Time Step n+1 in the Discrete SI Model ni
defining formulation dp "$\frac{d I}{d t}=\frac{\alpha}{N} S I$"^^La Te X ep
in defining formulation dp "$I$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population SIze"^^La Te X ep
in defining formulation dp "$S$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674290 ep

Continuous Rate of Change of Infectious in the SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuousRateOfChangeOfInfectiousInTheSIRModel

rate of change of infectious individuals in the continuous-time SIR model
belongs to
Mathematical Formulation c
has facts
contained in op Continuous Susceptible Infectious Removed Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time ni
contains op Total Population Size ni
discretized by op Infectious at Time Step n+1 in the SIR Model ni
defining formulation dp "$\frac{d I}{d t} = I \left( \frac{\alpha}{N} S - \gamma \right)$"^^La Te X ep
in defining formulation dp "$I$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\alpha$,Contact Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674292 ep

Continuous Rate of Change of Infectious in the SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuousRateOfChangeOfInfectiousInTheSISModel

rate of change of infectious individuals in the continuous-time SIS model
belongs to
Mathematical Formulation c
has facts
contained in op Continuous Susceptible Infectious Susceptible Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time ni
contains op Total Population Size ni
defining formulation dp "$\frac{d I}{d t} = I \left( \frac{\alpha}{N} S - \gamma \right)$"^^La Te X ep
in defining formulation dp "$I$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674293 ep

Continuous Rate of Change of Removed in the SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuousRateOfChangeOfRemovedInTheSIRModel

rate of change of removed individuals in the continuous-time SIR model
belongs to
Mathematical Formulation c
has facts
contained in op Continuous Susceptible Infectious Removed Model ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Removed Individuals ni
contains op Time ni
discretized by op Removed at Time Step n+1 in the Discrete SIR Model ni
defining formulation dp "$\frac{d R}{d t} = R + \gamma I$"^^La Te X ep
in defining formulation dp "$I$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$R$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674294 ep

Continuous Rate of Change of Susceptibles in the SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuousRateOfChangeOfSusceptiblesInTheSIModel

rate of change of susceptible individuals in the continuous-time SI model
belongs to
Mathematical Formulation c
has facts
contained in op Continuous Susceptible Infectious Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time ni
contains op Total Population Size ni
discretized by op Infectious at Time Step n+1 in the SI Model ni
defining formulation dp "$\frac{d S}{d t} = -\frac{\alpha}{N} S I$"^^La Te X ep
in defining formulation dp "$I$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population SIze"^^La Te X ep
in defining formulation dp "$S$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674295 ep

Continuous Rate of Change of Susceptibles in the SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuousRateOfChangeOfSusceptiblesInTheSIRModel

rate of change of susceptible individuals in the continuous-time SIR model
belongs to
Mathematical Formulation c
has facts
contained in op Continuous Susceptible Infectious Removed Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time ni
contains op Total Population Size ni
discretized by op Susceptibles at Time Step n+1 in the Discrete SIR Model ni
defining formulation dp "$\frac{d S}{d t} = -\frac{\alpha}{N} S I $"^^La Te X ep
in defining formulation dp "$I$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674297 ep

Continuous Rate of Change of Susceptibles in the SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuousRateOfChangeOfSusceptiblesInTheSISModel

rate of change of susceptible individuals in the continuous-time SIS model
belongs to
Mathematical Formulation c
has facts
contained in op Continuous Susceptible Infectious Susceptible Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time ni
contains op Total Population Size ni
defining formulation dp "$\frac{d S}{d t} = -\frac{\alpha}{N} S I + \gamma I$"^^La Te X ep
in defining formulation dp "$I$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674298 ep

Continuous Susceptible Infectious Susceptible Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuousSusceptibleInfectiousSusceptibleModel

continuous-time model for the spreading of infectious diseases with temporary resistance considering susceptible and infectious individuals
belongs to
Mathematical Model c
has facts
contains op Continuous Rate of Change of Infectious in the SIS Model ni
contains op Continuous Rate of Change of Susceptibles in the SIS Model ni
contains op Initial Condition for the Continuous SI Model and SIS Model ni
contains initial condition op Initial Condition for the Continuous SI Model and SIS Model ni
described as documented by op Allen (1993) Some Discrete-Time SI, SIR and SIS Epidemic Models ni
described by op Allen (1993) Some Discrete-Time SI, SIR and SIS Epidemic Models ni
discretized by op Discrete Susceptible Infectious Susceptible Model ni
models op Spreading of Infectious Diseases ni
is deterministic dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6675171 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q2351772"

Continuum Mechanicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ContinuumMechanics

branch of mechanics that deals with the analysis of the kinematics and the mechanical behavior of materials modeled as a continuous mass
belongs to
Research Field c
has facts
contains op Charge Transport ni
contains op Flow in Porous Media ni
contains op Free Flow Coupled to Porous Media Flow ni
contains op Free Flow of an Incompressible Fluid ni
contains op Heat Transport ni
contains op Poro-Visco-Elastic Evolution ni
contains op Species Transport ni
contains op Transport of Matter ni
specialized by op Celestial Mechanics ni
specialized by op Classical Mechanics ni
MaRDI ID ap Item: Q6684700 ep
Wikidata ID ap Q193463 ep

Control System Durationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemDuration

time after which a (optimal) control should have reached the target
belongs to
Quantity c
has facts
contained in op Optimal Control Constraint ni
contained in op Optimal Control Cost ni
contained in op Optimal Control Final ni
contained in op Optimal Control Target ni
MaRDI ID ap Item: Q6673896 ep

Control System Initialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemInitial

initial value for the state vector of a control system
belongs to
Quantity c
has facts
contained in op Initial Control State ni
MaRDI ID ap Item: Q6673897 ep

Control System Initial (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemInitialReduced

initial value for the state vector of a control system; after model order reduction
belongs to
Mathematical Formulation c
has facts
contains op Initial Control State ni
contains op MOR Transformation Matrix ni
contains initial condition op Initial Control State ni
defining formulation dp "$\tilde{x}_0=T^{-1}x_0$"^^La Te X ep
in defining formulation dp "$T$, MOR Transformation Matrix"^^La Te X ep
in defining formulation dp "$x_0$, Initial Control State"^^La Te X ep
MaRDI ID ap Item: Q6674299 ep

Control System Input Bilinearni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemInputBilinear

bilinear input equation for control systems
belongs to
Mathematical Formulation c
has facts
approximated by op Control System Input Bilinear (Reduced) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Control System Model (Bilinear) ni
contained in op Control System Time Evolution (Bi-linear) ni
contained in op H2 Optimal Approximation (Bi-linear) ni
contains op Control System Input ni
contains op Control System Matrix A ni
contains op Control System Matrix B ni
contains op Control System Matrix N ni
contains op Control System State ni
contains op Time ni
specialized by op Control System Input Linear ni
defining formulation dp "$\dot{x}(t)=(A+u(t)N)x(t)+Bu(t)$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
MaRDI ID ap Item: Q6674142 ep

Control System Input Bilinear (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemInputBilinearReduced

bilinear input equation for control systems; after model order reduction
belongs to
Mathematical Formulation c
has facts
approximates op Control System Input Bilinear ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op H2 Optimal Approximation (Bi-linear) ni
contains op Control System Input ni
contains op Control System Matrix A (Reduced) ni
contains op Control System Matrix B (Reduced) ni
contains op Control System Matrix N (Reduced) ni
contains op Control System State (Reduced) ni
contains op Time ni
specialized by op Control System Input Linear (Reduced) ni
defining formulation dp "$\dot{\tilde{x}}(t)=(\tilde{A}+u(t)\tilde{N})\tilde{x}(t)+\tilde{B}u(t)$"^^La Te X ep
in defining formulation dp "$\tilde{A}$, Control System Matrix A (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{B}$, Control System Matrix B (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{N}$, Control System Matrix N (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{x}$, Control System State (Reduced)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
MaRDI ID ap Item: Q6674143 ep

Control System Input Linearni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemInputLinear

linear input equation for control systems
belongs to
Mathematical Formulation c
has facts
approximated by op Control System Input Linear (Reduced) ni
contained in op Balanced Truncation (Linear) ni
contained in op Control System Model (Linear) ni
contained in op Control System Time Evolution (Linear) ni
contained in op H2 Optimal Approximation (Linear) ni
contains op Control System Input ni
contains op Control System Matrix A ni
contains op Control System Matrix B ni
contains op Control System State ni
contains op Time ni
specializes op Control System Input Bilinear ni
defining formulation dp "$\dot{x}(t)=Ax(t)+Bu(t)$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
MaRDI ID ap Item: Q6674148 ep

Control System Input Linear (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemInputLinearReduced

linear input equation for control systems; after model order reduction
belongs to
Mathematical Formulation c
has facts
approximates op Control System Input Linear ni
contained in op Balanced Truncation (Linear) ni
contained in op H2 Optimal Approximation (Linear) ni
contains op Control System Input ni
contains op Control System Matrix A (Reduced) ni
contains op Control System Matrix B (Reduced) ni
contains op Control System State (Reduced) ni
contains op Time ni
specializes op Control System Input Bilinear (Reduced) ni
defining formulation dp "$\dot{\tilde{x}}(t)=\tilde{A}\tilde{x}(t)+\tilde{B}u(t)$"^^La Te X ep
in defining formulation dp "$\tilde{A}$, Control System Matrix A (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{B}$, Control System Matrix B (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{x}$, Control System State (Reduced)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
MaRDI ID ap Item: Q6674149 ep

Control System Lagrange Multiplierni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemLagrangeMultiplier

method to solve constrained optimization problems for control systems
belongs to
Quantity c
has facts
contained in op Optimal Control Backward ni
contained in op Optimal Control Constraint ni
contained in op Optimal Control Final ni
contained in op Optimal Control Update ni
specializes op Lagrange Multiplier ni
MaRDI ID ap Item: Q6673900 ep

Control System Matrix Ani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixA

homogeneous part of (linear) input equation for control systems
belongs to
Quantity c
has facts
contained as input in op Balanced Truncation (Bi-linear) ni
contained as input in op Balanced Truncation (Linear) ni
contained as parameter in op Control System Time Evolution (Bi-linear) ni
contained as parameter in op Control System Time Evolution (Linear) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Linear) ni
contained in op Control System Input Bilinear ni
contained in op Control System Input Linear ni
contained in op Control System Matrix A (Reduced) ni
contained in op Control System Time Evolution (Bi-linear) ni
contained in op Control System Time Evolution (Linear) ni
contained in op Gramian Generalized Controllability ni
contained in op Gramian Generalized Observability ni
contained in op Gramian Matrix Controllability ni
contained in op Gramian Matrix Observability ni
contained in op Lyapunov Equation Controllability ni
contained in op Lyapunov Equation Observability ni
contained in op Lyapunov Generalized Controllability ni
contained in op Lyapunov Generalized Observability ni
contained in op Optimal Control Backward ni
contained in op Optimal Control Constraint ni
contained in op Optimal Control Forward ni
contained in op Stability Autonomous System ni
contained in op Sylvester Equation Controllability ni
contained in op Sylvester Equation Observability ni
MaRDI ID ap Item: Q6673771 ep

Control System Matrix A (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixAReduced

homogeneous part of (linear) input equation for control systems; after model order reduction
belongs to
Quantity c
has facts
contained as output in op Balanced Truncation (Bi-linear) ni
contained as output in op Balanced Truncation (Linear) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Linear) ni
contained in op Control System Input Bilinear (Reduced) ni
contained in op Control System Input Linear (Reduced) ni
contained in op Control System Matrix A (Reduced) ni
contained in op Sylvester Equation Controllability ni
contained in op Sylvester Equation Observability ni
contained in op Sylvester Generalized Controllability ni
contained in op Sylvester Generalized Observability ni
contains op Control System Matrix A ni
contains op Control System Matrix A (Reduced) ni
contains op MOR Transformation Matrix ni
defining formulation dp "$\tilde{A} \equiv T^{-1}AT$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$T$, MOR Transformation Matrix"^^La Te X ep
in defining formulation dp "$\tilde{A}$, Control System Matrix A (Reduced)"^^La Te X ep
MaRDI ID ap Item: Q6673775 ep

Control System Matrix B (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixBReduced

inhomogeneous part of (linear) input equation for control systems; after model order reduction
belongs to
Quantity c
has facts
contained as output in op Balanced Truncation (Bi-linear) ni
contained as output in op Balanced Truncation (Linear) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Linear) ni
contained in op Control System Input Bilinear (Reduced) ni
contained in op Control System Input Linear (Reduced) ni
contained in op Control System Matrix B (Reduced) ni
contained in op Sylvester Equation Controllability ni
contained in op Sylvester Generalized Controllability ni
contains op Control System Matrix B ni
contains op Control System Matrix B (Reduced) ni
contains op MOR Transformation Matrix ni
defining formulation dp "$\tilde{B} \equiv T^{-1}BT$"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$T$, MOR Transformation Matrix"^^La Te X ep
in defining formulation dp "$\tilde{B}$, Control System Matrix B (Reduced)"^^La Te X ep
MaRDI ID ap Item: Q6673776 ep

Control System Matrix C (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixCReduced

linear part of output equation for control systems; after model order reduction
belongs to
Quantity c
has facts
contained as output in op Balanced Truncation (Bi-linear) ni
contained as output in op Balanced Truncation (Linear) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Linear) ni
contained in op Control System Matrix C (Reduced) ni
contained in op Control System Output Linear (Reduced) ni
contained in op Sylvester Equation Observability ni
contained in op Sylvester Generalized Observability ni
contains op Control System Matrix C ni
contains op Control System Matrix C (Reduced) ni
contains op MOR Transformation Matrix ni
defining formulation dp "$\tilde{C} \equiv CT$"^^La Te X ep
in defining formulation dp "$C$, Control System Matrix C"^^La Te X ep
in defining formulation dp "$T$, MOR Transformation Matrix"^^La Te X ep
in defining formulation dp "$\tilde{C}$, Control System Matrix C (Reduced)"^^La Te X ep
MaRDI ID ap Item: Q6673777 ep

Control System Matrix Dni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixD

quadratic part of output equation for control systems
belongs to
Quantity c
has facts
contained in op Control System Matrix D (Reduced) ni
contained in op Control System Output Quadratic ni
contained in op Optimal Control Final ni
contained in op Optimal Control Target ni
MaRDI ID ap Item: Q6673901 ep

Control System Matrix D (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixDReduced

quadratic part of output equation for control systems; after model order reduction
belongs to
Quantity c
has facts
contained in op Control System Matrix D (Reduced) ni
contained in op Control System Output Quadratic (Reduced) ni
contains op Control System Matrix D ni
contains op Control System Matrix D (Reduced) ni
contains op MOR Transformation Matrix ni
defining formulation dp "$\tilde{D} \equiv T^{-1}DT$"^^La Te X ep
in defining formulation dp "$D$, Control System Matrix D"^^La Te X ep
in defining formulation dp "$T$, MOR Transformation Matrix"^^La Te X ep
in defining formulation dp "$\tilde{D}$, Control System Matrix D (Reduced)"^^La Te X ep
MaRDI ID ap Item: Q6673902 ep

Control System Matrix N (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemMatrixNReduced

bilinear part of input equation for control systems; after model order reduction
belongs to
Quantity c
has facts
contained as output in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Control System Input Bilinear (Reduced) ni
contained in op Control System Matrix N (Reduced) ni
contained in op Sylvester Generalized Controllability ni
contained in op Sylvester Generalized Observability ni
contains op Control System Matrix N ni
contains op Control System Matrix N (Reduced) ni
contains op MOR Transformation Matrix ni
defining formulation dp "$\tilde{N} \equiv T^{-1}NT$"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$T$, MOR Transformation Matrix"^^La Te X ep
in defining formulation dp "$\tilde{N}$, Control System Matrix N (Reduced)"^^La Te X ep
MaRDI ID ap Item: Q6673778 ep

Control System Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemModel

branch of engineering and mathematics that deals with the behavior of dynamical systems with inputs, that modify their behavior
belongs to
Mathematical Model c
has facts
models op Molecular Spectroscopy (Transient) ni
models op Spin Qbit Shuttling ni
specialized by op Control System Model (Bilinear) ni
specialized by op Control System Model (Linear) ni
specialized by op Electron Shuttling Model ni
used by op Balanced Truncation ni
used by op Control System Time Evolution ni
used by op H2 Optimal Approximation ni
used by op Optimal Control ni
description ap "In general, there are there are two types of controls: open-loop control (feedforward), and closed-loop control (feedback). In many applications of practical relevance, the state vector x is very high-dimensional, even though input u and output y may be low-dimensional"@en
MaRDI ID ap Item: Q6675331 ep
Wikidata ID ap Q959968 ep

Control System Output Linear (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemOutputLinearReduced

linear output equation for control systems; after model order reduction
belongs to
Mathematical Formulation c
has facts
approximates op Control System Output Linear ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Linear) ni
contained in op H2 Optimal Approximation (Bi-linear) ni
contained in op H2 Optimal Approximation (Linear) ni
contains op Control System Matrix C (Reduced) ni
contains op Control System Output ni
contains op Control System State (Reduced) ni
contains op Time ni
defining formulation dp "$y(t)=\tilde{C}\tilde{x}(t)$"^^La Te X ep
in defining formulation dp "$\tilde{C}$, Control System Matrix C (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{x}$, Control System State (Reduced)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$y$, Control System Output"^^La Te X ep
MaRDI ID ap Item: Q6674144 ep

Control System Output Quadraticni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemOutputQuadratic

quadratic output equation for control systems
belongs to
Mathematical Formulation c
has facts
approximated by op Control System Output Quadratic (Reduced) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Control System Model (Bilinear) ni
contained in op Control System Model (Linear) ni
contains op Control System Matrix D ni
contains op Control System Output ni
contains op Control System State ni
contains op Time ni
defining formulation dp "$y(t)=x^{\dagger}(t)Dx(t)$"^^La Te X ep
in defining formulation dp "$D$, Control System Matrix D"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
in defining formulation dp "$y$, Control System Output"^^La Te X ep
MaRDI ID ap Item: Q6674301 ep

Control System Output Quadratic (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemOutputQuadraticReduced

quadratic output equation for control systems; after model order reduction
belongs to
Mathematical Formulation c
has facts
approximates op Control System Output Quadratic ni
contains op Control System Matrix D (Reduced) ni
contains op Control System Output ni
contains op Control System State (Reduced) ni
contains op Time ni
defining formulation dp "$y(t)=\tilde{x}^{\dagger}(t)\tilde{D}\tilde{x}(t)$"^^La Te X ep
in defining formulation dp "$\tilde{D}$, Control System Matrix D (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{x}$, Control System State (Reduced)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$y$, Control System Output"^^La Te X ep
MaRDI ID ap Item: Q6674300 ep

Control System State (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemStateReduced

state vector of a dynamical system for control systems; after model order reduction
belongs to
Quantity c
has facts
contained in op Control System Input Bilinear (Reduced) ni
contained in op Control System Input Linear (Reduced) ni
contained in op Control System Output Linear (Reduced) ni
contained in op Control System Output Quadratic (Reduced) ni
contained in op Control System State (Reduced) ni
contained in op Initial Control State (Reduced) ni
contains op Control System State ni
contains op Control System State (Reduced) ni
contains op MOR Transformation Matrix ni
defining formulation dp "$\tilde{x} \equiv T^{-1}x$"^^La Te X ep
in defining formulation dp "$\tilde{x}$, Control System State (Reduced)"
in defining formulation dp "$T$, MOR Transformation Matrix"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
MaRDI ID ap Item: Q6673899 ep

Control System Time Evolutionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlSystemTimeEvolution

computing the time evolution of a control system, for given initial state and given control , yielding output as a function of time
belongs to
Computational Task c
has facts
specialized by op Control System Time Evolution (Bi-linear) ni
specialized by op Control System Time Evolution (Linear) ni
specialized by op Quantum Time Evolution ni
uses op Control System Model ni
MaRDI ID ap Item: Q6684560 ep

Control Volumeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ControlVolume

mathematical abstraction employed in continuum mechanics and thermodynamics used within finite volume discretizations
belongs to
Quantity c
has facts
contained in op Continuity Equation for Electrons (Finite Volume) ni
contained in op Continuity Equation for Holes (Finite Volume) ni
contained in op Control Volume ni
contained in op Poisson Equation for the Electric Potential (Finite Volume) ni
contains op Control Volume ni
contains op Spatial Variable ni
defining formulation dp "$\omega_k \equiv [x_{k-1,k}-x_{k,k+1}]$"^^La Te X ep
in defining formulation dp "$\omega$, Control Volume"^^La Te X ep
in defining formulation dp "$x$, Spatial Variable"^^La Te X ep
description ap "control volume used within finite volume discretizations, e.g. the Scharfetter-Gummel discretization of the van-Roosbroeck system"@en
description ap "used for example in the Scharfetter-Gummel discretization of the drift diffusion (aka van-Roosbroeck) system"@en
MaRDI ID ap Item: Q6673890 ep
Wikidata ID ap Q5165895 ep

Coriolis Coupling Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CoriolisCouplingConstant

description of the interaction between rotational and vibrational motions, e.g., in molecules
belongs to
Quantity c
has facts
contained in op Anharmonicity Constant (Perturbation Theory) ni
DOI ap Phys Rev.56.680 ep
MaRDI ID ap Item: Q6673743 ep
Wikidata ID ap Q7370329 ep

Costsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Costs

value of money required for e.g. producing, buying or running something
belongs to
Quantity Kind c
has facts
contained in op Line Concept Costs ni
contained in op Line Costs Computation ni
specialized by op Costs of Line Concept ni
specialized by op Costs per Unit ni
specialized by op Fixed Costs ni
MaRDI ID ap Item: Q6673709 ep
Wikidata ID ap Q240673 ep

Costs of Line Conceptni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CostsOfLineConcept

summarized costs of a line concept
belongs to
Quantity c
has facts
contained in op Line Concept Costs ni
specializes op Costs ni
MaRDI ID ap Item: Q6673905 ep

Costs per Unitni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CostsPerUnit

costs per unit of something
belongs to
Quantity c
has facts
contained in op Line Costs Computation ni
specializes op Costs ni
description ap "Costs per unit of something, e.g. costs per 1km, costs per vehicle, costs per line, costs per edge,..."@en
MaRDI ID ap Item: Q6673906 ep

Coulomb Friction Condition Between Two Particlesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CoulombFrictionOfTwoParticles

describes the transition between static and dynamic friction in a simple (linear) friction model
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Tangential Interaction Force of Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
contains op Contact Point Of Particles ni
contains op Friction Coefficient ni
contains op Normal Interaction Force of Two Particles ni
contains op Tangential Interaction Force of Two Particles ni
contains op Tangential Stiffness ni
contains op Unit Normal Vector ni
defining formulation dp "$\begin{align} \lVert \boldsymbol F^{T, cons}_{ij}\rVert&\leq \mu \lVert \boldsymbol F_{ij}^N\rVert\qquad \text{with}\\ \boldsymbol F^{T, cons}_{ij} &= -k_{ij}^T\boldsymbol\xi_{ij}=-k_{ij}^T\left(\boldsymbol x_{C_{ji}}- \boldsymbol x_{C_{ij}} - \langle \boldsymbol x_{C_{ji}}- \boldsymbol x_{C_{ij}}, \boldsymbol n_{ij}\rangle \boldsymbol n_{ij}\right) \end{align}$"^^La Te X ep
in defining formulation dp "$\boldsymbol F^{T, cons}_{ij}\in\mathbb R^3$, 'Tangential Interaction Force of Two Particles'"^^La Te X ep
in defining formulation dp "$\boldsymbol F_{ij}^N$, Normal Interaction Force of Two Particles"^^La Te X ep
in defining formulation dp "$\boldsymbol n_{ij}\in\mathbb R^3$, Unit Normal Vector"^^La Te X ep
in defining formulation dp "$\mu$, Friction Coefficient"^^La Te X ep
in defining formulation dp "$k_{ij}^T$, Tangential Stiffness"^^La Te X ep
in defining formulation dp "$x_{C_{ij}}$, Contact Point Of Particles"^^La Te X ep

Coupling Currentni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CouplingCurrent

transfer current from one circuit to another
belongs to
Quantity c
has facts
contained in op Motor Neuron Pool ODE System ni
specializes op Electric Current ni
MaRDI ID ap Item: Q6673907 ep

Creeping Flow Assumptionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CreepingFlowAssumption

belongs to
Mathematical Formulation c
has facts
assumed by op Stokes Model ni
assumed by op Stokes Equation ni
contains op Reynolds Number ni
defining formulation dp "$\mathrm{Re} \ll 1$"^^La Te X ep
in defining formulation dp "$\mathrm{Re}$, Reynolds Number"^^La Te X ep
MaRDI ID ap Item: Q6674303 ep
Wikidata ID ap Q674202 ep

Cross Sectionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CrossSection

the intersection of a body in 3D space with a plane
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Terminal Velocity ni
specializes op Area ni
description ap "In geometry and in natural sciences, a cross section is the intersection of a body in 3D space with a plane."@en
MaRDI ID ap Item: Q6673909 ep
Wikidata ID ap Q845080 ep

Cundall (1979) A discrete numerical model for granular assembliesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Cundall_1979_Discrete_model_granular_assemblies

publication
belongs to
Publication c
has facts
describes op Discrete Element Method ni
describes invention of op Discrete Element Method ni
DOI ap geot.1979.29.1.47 ep

Current Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CurrentDensity

amount of charge per unit time that flows through a unit area
belongs to
Quantity c
has facts
specialized by op Electric Current Density of Electrons ni
specialized by op Electric Current Density of Holes ni
description ap "The (electric) current density is defined as the amount of charge per unit time that flows through a unit area"@en
MaRDI ID ap Item: Q6673910 ep
Wikidata ID ap Q234072 ep

Current Flow in Semiconductor Devicesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CurrentFlowInSemiconductorDevices

flow of electrical charge carriers coupled to electrostatic potential distribution in semiconductor devices
belongs to
Research Problem c
has facts
contained in op Semiconductor Physics ni
modeled by op Drift-Diffusion Model ni
MaRDI ID ap Item: Q6684652 ep

Current Procedural Terminologyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#CurrentProceduralTerminology

procedure codes
belongs to
Quantity c
has facts
MaRDI ID ap Item: Q6673911 ep
Wikidata ID ap Q964984 ep

Damping Coefficientni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DampingCoefficient

quantifies energy dissipation in dynamic systems
belongs to
Quantity c
has facts
contained in op Normal Interaction Force of Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
similar to op Damping Coefficient ni
similar to op Quantum Damping Rate ni
description ap "damping is the loss of energy of an oscillating system by dissipation"@en
MaRDI ID ap Item: Q6673912 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q321828"

Darcy Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DarcyEquation

describing the flow of a fluid through a porous medium
belongs to
Mathematical Formulation c
has facts
contained in op Darcy Model ni
contains op Fluid Dynamic Viscosity (Porous Medium) ni
contains op Fluid Intrinsic Permeability (Porous Medium) ni
contains op Fluid Pressure (Porous Medium) ni
contains op Fluid Velocity (Porous Medium) ni
discretized by op Darcy Equation (Euler Backward) ni
discretized by op Darcy Equation (Finite Volume) ni
specializes op Transport Equation ni
defining formulation dp "$\begin{align} v^{pm} = -K \mu^{-1} \nabla p^{vm} \\ \nabla \cdot v^{pm} = 0 \end{align}$"^^La Te X ep
in defining formulation dp "$K$, Fluid Intrinsic Permeability (Porous Medium)"^^La Te X ep
in defining formulation dp "$\mu$, Fluid Dynamic Viscosity (Porous Medium)"^^La Te X ep
in defining formulation dp "$p^{pm}$, Fluid Pressure (Porous Medium)"^^La Te X ep
in defining formulation dp "$v^{pm}$, Fluid Velocity (Porous Medium)"^^La Te X ep
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "mathematical model describing the flow of a fluid through a porous medium."@en
MaRDI ID ap Item: Q6674304 ep
Wikidata ID ap Q392416 ep

Darcy Equation (Euler Backward)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DarcyEquationEulerBackward

discretizing the Darcy equation by a first-oder backward Euler scheme in time
belongs to
Mathematical Formulation c
has facts
contained in op Darcy Model (Discretized) ni
discretizes op Darcy Equation ni
specializes op Euler Backward Method ni
specializes op Euler Method ni
specializes op Runge–Kutta Method ni
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674305 ep

Darcy Equation (Finite Volume)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DarcyEquationFiniteVolume

discretizing the Darcy equation by a finite volume scheme in space
belongs to
Mathematical Formulation c
has facts
contained in op Darcy Model (Discretized) ni
discretizes op Darcy Equation ni
specializes op Finite Volume Method ni
is space-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674306 ep

Darcy Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DarcyModel

mathematical model describing the flow of a fluid through a porous medium
belongs to
Mathematical Model c
has facts
contained in op Stokes Darcy Model ni
contains op Darcy Equation ni
discretized by op Darcy Model (Discretized) ni
models op Flow in Porous Media ni
specializes op Transport Model ni
MaRDI ID ap Item: Q6675390 ep
Wikidata ID ap Q392416 ep

Darcy Model (Discretized)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DarcyModelDiscretized

discretized version of Darcy's model describing the flow of a fluid through a porous medium
belongs to
Mathematical Model c
has facts
contained in op Stokes Darcy Model (Discretized) ni
contains op Darcy Equation (Euler Backward) ni
contains op Darcy Equation (Finite Volume) ni
discretizes op Darcy Model ni
MaRDI ID ap Item: Q6675391 ep

Darwin-Howie-Whelan Equation for a Strained Crystalni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DarwinHowieWhelanEquationStrained

simuating TEM images by numerically solving the Darwin–Howie–Whelan equation describing the electron propagation
belongs to
Mathematical Formulation c
has facts
contained in op Dynamical Electron Scattering Model ni
contains op Amplitude of Electron Wave ni
contains op Displacement of Atoms ni
contains op Electric Potential Fourier Coefficients ni
contains op Excitation Error ni
contains op Reciprocal Lattice ni
contains op Reciprocal Lattice Vectors ni
contains op Unit Normal Vector ni
contains op Wave Vector of an Electron ni
specialized by op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
specializes op Liouville-von Neumann Equation ni
specializes op Schrödinger Equation (Time Dependent) ni
specializes op Schrödinger Equation (Time Independent) ni
defining formulation dp "$\begin{align} \frac{\mathrm d}{\mathrm d z} \varphi_{\mathbf{g}}(z) &= 2\mathrm{i} \pi \Big(s_{\mathbf{g}} + \frac{\mathrm d}{\mathrm d z}(\mathbf{g}\cdot \mathbf{u}(\mathbf{r}))\Big)\varphi_{\mathbf{g}}(z)+ \mathrm{i} \pi\sum_{\mathbf{h}\in \Lambda^*_m} U_{\mathbf{g-h}}\varphi_{\mathbf{h}}(z)\\ \quad s_g &= -\frac{g\cdot(2k_0+g)}{2n\cdot(k_0+g)} \end{align}$"^^La Te X ep
in defining formulation dp "$U_g$, Electric Potential Fourier Coefficients"^^La Te X ep
in defining formulation dp "$\Lambda^*_m$, Reciprocal Lattice"^^La Te X ep
in defining formulation dp "$\psi_g$, Amplitude of Electron Wave"^^La Te X ep
in defining formulation dp "$g$, Reciprocal Lattice Vectors"^^La Te X ep
in defining formulation dp "$k_0$, Wave Vector of an Electron"^^La Te X ep
in defining formulation dp "$n$, Unit Normal Vector"^^La Te X ep
in defining formulation dp "$s_g$, Excitation Error"^^La Te X ep
in defining formulation dp "$u$, Displacement of Atoms"^^La Te X ep
MaRDI ID ap Item: Q6674129 ep

Darwin-Howie-Whelan Equation for an Unstrained Crystalni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DarwinHowieWhelanEquationNoStrain

simuating TEM images of an unstrained crystal by numerically solving the Darwin–Howie–Whelan equation describing the electron propagation
belongs to
Mathematical Formulation c
has facts
contained in op Dynamical Electron Scattering Model ni
contains op Amplitude of Electron Wave ni
contains op Electric Potential Fourier Coefficients ni
contains op Excitation Error ni
contains op Reciprocal Lattice ni
contains op Reciprocal Lattice Vectors ni
contains op Unit Normal Vector ni
contains op Wave Vector of an Electron ni
specializes op Darwin-Howie-Whelan Equation for a Strained Crystal ni
specializes op Liouville-von Neumann Equation ni
specializes op Schrödinger Equation (Time Dependent) ni
specializes op Schrödinger Equation (Time Independent) ni
defining formulation dp "$\begin{align*} \frac{\mathrm d}{\mathrm d z} \psi_\mathbf{g}(z) &= 2\mathrm{i} \pi s_\mathbf{g} \psi_\mathbf{g}(z)+ \frac{\mathrm{i} \pi}{\rho_\mathbf{g}}\sum_{\mathbf{h}\in \Lambda^*_m} U_{\mathbf{g-h}}\psi_\mathbf{h}(z)\\ \quad s_g &= -\frac{g\cdot(2k_0+g)}{2n\cdot(k_0+g)} \end{align*}$"^^La Te X ep
in defining formulation dp "$U_g$, Electric Potential Fourier Coefficients"^^La Te X ep
in defining formulation dp "$\Lambda^*_m$, Reciprocal Lattice"^^La Te X ep
in defining formulation dp "$\psi_g$, Amplitude of Electron Wave"^^La Te X ep
in defining formulation dp "$g$, Reciprocal Lattice Vectors"^^La Te X ep
in defining formulation dp "$k_0$, Wave Vector of an Electron"^^La Te X ep
in defining formulation dp "$n$, Unit Normal Vector"^^La Te X ep
in defining formulation dp "$s_g$, Excitation error"^^La Te X ep
MaRDI ID ap Item: Q6674128 ep

de Broglie Wavelengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#deBroglieWavelength

wavelength of matter waves in quantum mechanics
belongs to
Quantity c
has facts
contained in op Classical Approximation ni
contained in op de Broglie Wavelength ni
contains op Classical Momentum ni
contains op Planck Constant ni
contains op de Broglie Wavelength ni
defining formulation dp "$\lambda \equiv \frac{h}{p}$"^^La Te X ep
in defining formulation dp "$\lambda$, de Broglie Wavelength"^^La Te X ep
in defining formulation dp "$h$, Planck Constant"^^La Te X ep
in defining formulation dp "$p$, Classical Momentum"^^La Te X ep
description ap "playing a crucial role for the wave-particle duality in quantum mechanics."@en
MaRDI ID ap Item: Q6673861 ep
Wikidata ID ap Q100981463 ep

Death Countni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DeathCount

death count, at a given age
belongs to
Quantity c
has facts
contained as input in op Maximizing Poisson log-Likelihood ni
contained in op Maximizing Poisson log-Likelihood ni
contained in op Poisson-Distributed Deaths ni
contained in op Poisson log-Likelihood ni
MaRDI ID ap Item: Q6673914 ep

Decision Variableni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DecisionVariable

vector which is to be decided in integer linear program
belongs to
Quantity Kind c
has facts
contained in op Graph Type Identifier ni
specialized by op Binary Decision Variable ni
MaRDI ID ap Item: Q6673711 ep

Demographyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Demography

statistical and theoretical study of populations: size, composition, and how they change through fertility, mortality, and migration
belongs to
Research Field c
has facts
contains op Mortality Modeling ni
MaRDI ID ap Item: Q116324 ep
Wikidata ID ap Q37732 ep

Denoising for Improved Parametric MRI of the Kidneyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DenoisingForImprovedParametricMRIOfTheKidney

denoising for improved parametric MRI (magnetic resonance imaging) of the kidney
belongs to
Computational Task c
has facts
contains op Non-Local Means ni
uses op Gaussian Noise Model ni
DOI ap 978 1 0716 0978 1 34 ep
MaRDI ID ap Item: Q6684563 ep

Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Density

mass per volume of a substance
belongs to
Quantity Kind c
has facts
specialized by op Density of Air ni
specialized by op Material Density ni
alt Label ap "Specific Mass"@en
alt Label ap "Volumetric Mass Density"@en
MaRDI ID ap Item: Q6673712 ep
QUDT ID ap Density ep
Wikidata ID ap Q29539 ep

Density Fraction Coefficientni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DensityFractionCoefficient

coefficients used in the definition of the density fractions
belongs to
Quantity c
has facts
contained in op Fraction of Population Density of Exposed Formulation ni
contained in op Fraction of Population Density of Infectious Formulation ni
contained in op Fraction of Population Density of Susceptibles Formulation ni
contained in op Total Population Density Formulation ni
MaRDI ID ap Item: Q6673915 ep

Density of Airni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DensityOfAir

mass per unit volume of the atmosphere of the planet Earth
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Terminal Velocity ni
contained in op Vanishing Air Density ni
specializes op Density ni
MaRDI ID ap Item: Q6673916 ep
Wikidata ID ap Q1511415 ep

Density of Electronsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DensityOfElectrons

probability density of electrons being somewhere
belongs to
Quantity c
has facts
contained in op Boltzmann Approximation for Electrons ni
contained in op Electric Current Density of Electrons ni
contained in op Poisson Equation for the Electric Potential ni
similar to op Density of Electrons ni
similar to op Density of Holes ni
similar to op Electric Charge Density ni
specializes op Particle Number Density ni
description ap "For use in semiconductor physics"@en
MaRDI ID ap Item: Q6673826 ep
Wikidata ID ap Q905186 ep

Density of Holesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DensityOfHoles

probability density of holes being somewhere
belongs to
Quantity c
has facts
contained in op Boltzmann Approximation for Holes ni
contained in op Electric Current Density of Holes ni
contained in op Poisson Equation for the Electric Potential ni
similar to op Density of Electrons ni
similar to op Density of Holes ni
similar to op Electric Charge Density ni
specializes op Electric Charge Density ni
specializes op Particle Number Density ni
description ap "For use in semiconductor physics"@en
MaRDI ID ap Item: Q6673830 ep

Density of States for Conduction Bandni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DensityOfStatesForConductionBand

number of allowed states per unit energy range for conduction band
belongs to
Quantity c
has facts
contained in op Boltzmann Approximation for Electrons ni
MaRDI ID ap Item: Q6673827 ep

Density of States for Valence Bandni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DensityOfStatesForValenceBand

number of allowed states per unit energy range for valence band
belongs to
Quantity c
has facts
contained in op Boltzmann Approximation for Holes ni
MaRDI ID ap Item: Q6673831 ep

Detailed Balance Principleni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DetailedBalancePrinciple

at thermal equilibrium, each elementary process is in equilibrium with its reverse process
belongs to
Mathematical Formulation c
has facts
contained in op Quantum Lindblad Equation ni
contains op Boltzmann Constant ni
contains op Quantum Damping Rate ni
contains op Quantum Eigen Energy ni
contains op Quantum Number ni
contains op Temperature ni
defining formulation dp "$\Gamma_{n \to m, m > n} = e^{-\frac{E_m-E_n}{k_BT}} \Gamma_{m \to n, m > n}$"^^La Te X ep
in defining formulation dp "$E$, Quantum Eigen Energy"^^La Te X ep
in defining formulation dp "$T$, Temperature"^^La Te X ep
in defining formulation dp "$\Gamma$, Quantum Damping Rate"^^La Te X ep
in defining formulation dp "$k_B$, Boltzmann constant"^^La Te X ep
in defining formulation dp "$m$, Quantum Number"^^La Te X ep
in defining formulation dp "$n$, Quantum Number"^^La Te X ep
description ap "The principle of detailed balance can be used in kinetic systems which are decomposed into elementary processes (collisions, or steps, or elementary reactions)."@en
MaRDI ID ap Item: Q6674309 ep
Wikidata ID ap Q1201087 ep

Diffusion Coefficientni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DiffusionConstant

proportionality constant between the molar flux and the negative value of the gradient in the concentration of the species
belongs to
Quantity c
has facts
contained in op Classical Brownian Equation ni
contained in op Classical Fokker Planck Equation ni
contained in op Fick Equation ni
contained in op Homogeneous Neumann Boundary Conditions ni
description ap "Diffusion coefficient is usually written as the proportionality constant between the molar flux due to molecular diffusion and the negative value of the gradient in the concentration of the species."@en
alt Label ap "Diffusivity"@en
alt Label ap "Mass Diffusivity"@en
MaRDI ID ap Item: Q6673864 ep
Wikidata ID ap Q604008 ep

Diffusion Coefficient for SEIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DiffusionCoefficient

spatial mixing of the subpopulations
belongs to
Quantity c
has facts
contained in op Rate of Change of Population Density Fraction of Exposed PDE ni
contained in op Rate of Change of Population Density Fraction of Infectious PDE ni
contained in op Rate of Change of Population Density Fraction of Removed PDE ni
contained in op Rate of Change of Population Density Fraction of Susceptibles PDE ni
contained in op SEIR Derivative Relation ni
description ap "describes the spatial mixing of the subpopulations and may, in general, depend on the spatial position."@en
MaRDI ID ap Item: Q6673917 ep

Diffusion Fluxni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DiffusionFlux

solute mass removal rate resulting from diffusion
belongs to
Quantity c
has facts
contained in op Fick Equation ni
specializes op Particle Flux Density ni
MaRDI ID ap Item: Q6673918 ep

Diffusion Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DiffusionsModel

mathematical model describing transport of mass|particles by diffusion
belongs to
Mathematical Model c
has facts
contains op Fick Equation ni
models op Species Transport ni
specializes op Classical Fokker Planck Model ni
specializes op Transport Model ni
MaRDI ID ap Item: Q6675394 ep

Dirac Delta Distributionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DiracDeltaDistribution

generalized function on the real numbers
belongs to
Quantity c
has facts
contained in op Empirical Distribution of Individuals Formulation ni
description ap "Value is zero everywhere except at zero, and whose integral over the entire real line is equal to one."@en
MaRDI ID ap Item: Q6673919 ep

Dirichlet Boundary Conditionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DirichletBoundaryCondition

boundary condition specifying the values that a solution of a differential equation needs to take along the boundaries of a domain
belongs to
Mathematical Formulation c
has facts
specialized by op Dirichlet Boundary Condition for Electric Potential ni
specialized by op Dirichlet Boundary Condition for Electron Fermi Potential ni
specialized by op Dirichlet Boundary Condition for Hole Fermi Potential ni
specialized by op Poro-Visco-Elastic (Dirichlet Boundary) ni
alt Label ap "second-type boundary condition"@en
MaRDI ID ap Item: Q6674311 ep
Wikidata ID ap Q1193699 ep

Dirichlet Boundary Condition for Electric Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DirichletBoundaryConditionForElectricPotential

Dirichlet boundary condition for the electric potential at an interface
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Drift-Diffusion Model ni
contained as boundary condition in op Electron Shuttling Model ni
contained in op Drift-Diffusion Model ni
contained in op Electron Shuttling Model ni
contained in op Semiconductor Charge Neutrality ni
contains op Applied External Voltage ni
contains op Electric Potential ni
contains op Electrode Interfaces ni
contains op Time ni
specializes op Dirichlet Boundary Condition ni
defining formulation dp "$\phi(r,t)|_{\Gamma_k}=\psi_{0}+U_k(t)$"^^La Te X ep
in defining formulation dp "$U_k$, Applied External Voltage"^^La Te X ep
in defining formulation dp "$\Gamma_k$, Electrode Interfaces"^^La Te X ep
in defining formulation dp "$\phi$, Electric Potential"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6534329 ep

Dirichlet Boundary Condition for Electron Fermi Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DirichletBoundaryConditionForElectronFermiPotential

Fermi potential is given by applied external voltages at the Ohmic contacts, e.g. semiconductor-metal interfaces
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Drift-Diffusion Model ni
contained in op Drift-Diffusion Model ni
contains op Applied External Voltage ni
contains op Electrode Interfaces ni
contains op Fermi Potential for Electrons ni
specializes op Dirichlet Boundary Condition ni
defining formulation dp "$\phi_n |_{\Gamma_k} = U_k$"^^La Te X ep
in defining formulation dp "$U_k$, Applied External Voltage"^^La Te X ep
in defining formulation dp "$\Gamma_k$, Electrode Interfaces"^^La Te X ep
in defining formulation dp "$\phi_n$, Fermi Potential for Electrons"^^La Te X ep
MaRDI ID ap Item: Q6674312 ep

Dirichlet Boundary Condition for Hole Fermi Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DirichletBoundaryConditionForHoleFermiPotential

Fermi potential is given by applied external voltages at the Ohmic contacts, e.g. semiconductor-metal interfaces
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Drift-Diffusion Model ni
contained in op Drift-Diffusion Model ni
contains op Applied External Voltage ni
contains op Electrode Interfaces ni
contains op Fermi Potential for Holes ni
specializes op Dirichlet Boundary Condition ni
defining formulation dp "$\phi_n |_{\Gamma_k} = U_k$"^^La Te X ep
in defining formulation dp "$U_k$, Applied External Voltage"^^La Te X ep
in defining formulation dp "$\Gamma_k$, Electrode Interfaces"^^La Te X ep
in defining formulation dp "$\phi_p$, Fermi Potential for Holes"^^La Te X ep
MaRDI ID ap Item: Q6674313 ep

Discrete Element Methodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DiscreteElementMethod

family of numerical methods for modeling the behavior of assemblies of discrete particles in contact
belongs to
Mathematical Model c
has facts
described as invented by op Cundall (1979) A discrete numerical model for granular assemblies ni
described by op Cundall (1979) A discrete numerical model for granular assemblies ni
specialized by op Linear Discrete Element Method ni
description ap "Describes any family of numerical functions for computing the motion and the effects of a large number of small particles. DEM is an effective method of addressing engineering problems in granular and discontinuous materials, especially in granular flows, powder mechanics, ice and rock mechanics."@en
Wikidata ID ap Q902783 ep

Displacementni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Displacement

vector that is the shortest distance from the initial (equilibrium) to the final (current) position of a point
belongs to
Quantity c
has facts
specialized by op Displacement Muscle Tendon ni
specialized by op Displacement of Atoms ni
specialized by op Material Point Displacement ni
specializes op Length ni
description ap "Vector that is the shortest distance from the initial to the final position of a point. In elasticity, displacements typically denote the motion of particles/matter from their equilibrium geometry"@en
MaRDI ID ap Item: Q6673920 ep
QUDT ID ap Displacement ep
Wikidata ID ap Q190291 ep

Displacement Muscle Tendonni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DisplacementMuscleTendon

displacements of the muscle-tendon connection compared to the stress-free position
belongs to
Quantity c
has facts
contained in op Boundary Conditions of Electrophysiological Muscle ODE System ni
contained in op Electrophysiological Muscle ODE System ni
contained in op Hill-Type Two-Muscle-One-Tendon ODE System ni
specializes op Change In Length ni
specializes op Displacement ni
specializes op Length ni
MaRDI ID ap Item: Q6673835 ep
Wikidata ID ap Q190291 ep

Displacement of Atomsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DisplacementOfAtoms

displacement of atoms from their equilibrium positions in a non-rigid molecule or solid
belongs to
Quantity c
has facts
contained in op Darwin-Howie-Whelan Equation for a Strained Crystal ni
contained in op Hooke Law (Linear Elasticity) ni
specializes op Displacement ni
specializes op Length ni
MaRDI ID ap Item: Q6673921 ep

Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DixonEquationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1}{V_{max,f}} (1+\frac{K_S}{c_S}) + \frac{K_S c_I}{V_{max,f} K_{ic}*c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674314 ep

Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DixonEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and mixed complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$$\frac{1}{v_0} = \frac{1}{V_{max,f}} (1 + \frac{K_m}{c_S}) + \frac{c_I}{V_{max,f}} (\frac{1}{K_{iu}} + \frac{K_m}{K_{ic}*c_S})$$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674316 ep

Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DixonEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
similar to op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$$\frac{1}{v_0} = \frac{1}{V_{max,f}} (1 + \frac{K_m}{c_S}) + \frac{c_I}{V_{max,f}} (\frac{1}{K_{iu}} + \frac{K_m}{K_{ic}*c_S})$$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674318 ep

Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DixonEquationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1}{V_{max,f}} (1 + \frac{K_S}{c_S}) + \frac{c_I}{V_{max,f} K_{iu}}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674320 ep

Doping Profileni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DopingProfile

intentional introduction of impurities into an intrinsic (undoped) semiconductor for the purpose of modulating its electrical, optical and structural properties
belongs to
Quantity c
has facts
contained in op Poisson Equation for the Electric Potential ni
MaRDI ID ap Item: Q6673929 ep

Drag Coefficientni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DragCoefficient

dimensionless parameter to quantify fluid resistance
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Terminal Velocity ni
contained in op Vanishing Drag Coefficient ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673930 ep
Wikidata ID ap Q1778961 ep

Drift (Velocity)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Drift

average velocity attained by particles due to external forces
belongs to
Quantity c
has facts
contained in op Classical Fokker Planck Equation ni
specializes op Velocity ni
description ap "Average velocity attained by particles due to external forces, e.g. when subjected to an electric field."@en
MaRDI ID ap Item: Q6673869 ep
Wikidata ID ap Q909891 ep

Drift-Diffusion Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DriftDiffusionModel

mathematical model describing the semi-classical transport of free electrons and holes in a self-consistent electric field using a drift-diffusion approximation
belongs to
Mathematical Model c
has facts
contains op Boltzmann Approximation for Electrons ni
contains op Boltzmann Approximation for Holes ni
contains op Continuity Equation for Electrons ni
contains op Continuity Equation for Holes ni
contains op Dirichlet Boundary Condition for Electric Potential ni
contains op Dirichlet Boundary Condition for Electron Fermi Potential ni
contains op Dirichlet Boundary Condition for Hole Fermi Potential ni
contains op Neumann Boundary Condition for Electric Potential ni
contains op Neumann Boundary Condition for Electron Fermi Potential ni
contains op Neumann Boundary Condition for Hole Fermi Potential ni
contains op Poisson Equation for the Electric Potential ni
contains boundary condition op Dirichlet Boundary Condition for Electric Potential ni
contains boundary condition op Dirichlet Boundary Condition for Electron Fermi Potential ni
contains boundary condition op Dirichlet Boundary Condition for Hole Fermi Potential ni
contains boundary condition op Neumann Boundary Condition for Electric Potential ni
contains boundary condition op Neumann Boundary Condition for Electron Fermi Potential ni
contains boundary condition op Neumann Boundary Condition for Hole Fermi Potential ni
described as surveyed by op Koprucki (2017) Numerical methods for drift-diffusion models ni
described by op Koprucki (2017) Numerical methods for drift-diffusion models ni
discretized by op Scharfetter-Gummel Scheme ni
models op Current Flow in Semiconductor Devices ni
used by op Semiconductor Charge Neutrality ni
used by op Semiconductor Current Voltage ni
used by op Semiconductor Thermal Equilibrium ni
description ap "The drift-diffusion system describes the semi-classical transport of free electrons and holes in a self-consistent electric field using a drift-diffusion approximation. It became the standard model to describe the current flow in semiconductor devices such as diodes, transistors, LEDs, solar cells and lasers, as well as quantum nanostructures and organic semiconductors."@en
alt Label ap "van Roosbroeck Model"@en
DOI ap W I A S. P R E P R I N T.2263 ep
MaRDI ID ap Item: Q6675396 ep

Durationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Duration

physical quantity for describing the temporal distance between events
belongs to
Quantity c
has facts
contained in op Line Costs Computation ni
specialized by op Duration per Unit ni
specializes op Time ni
MaRDI ID ap Item: Q6673931 ep
QUDT ID ap Time ep
Wikidata ID ap Q2199864 ep

Duration per Unitni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DurationPerUnit

duration of an event per specific unit
belongs to
Quantity c
has facts
specializes op Duration ni
specializes op Time ni
description ap "Duration of an event per specific unit , e.g. duration per 1km, duration per length, duration of line,..."@en
MaRDI ID ap Item: Q6673932 ep

Dynamical Electron Scattering Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#DynamicalElectronScatteringModel

quantum-mechanical propagation of electrons through a sample governed by dynamical electron scattering
belongs to
Mathematical Model c
has facts
contains op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
contains op Darwin-Howie-Whelan Equation for a Strained Crystal ni
contains op Hooke Law (Linear Elasticity) ni
contains op Initial Value for Electron Scattering ni
contains op Momentum Balance Equation ni
contains op Neumann Boundary Condition (Stress-Free Relaxation) ni
contains boundary condition op Neumann Boundary Condition (Stress-Free Relaxation) ni
contains initial condition op Initial Value for Electron Scattering ni
models op Imaging of Nanostructures ni
specializes op Quantum Model (Closed System) ni
specializes op Quantum Model (Open System) ni
used by op Mathematical Analysis of DHW Equation ni
used by op Simulation of TEM Images ni
used by op Symmetry Analysis in TEM Images ni
description ap "In crystalline solids, e.g. semiconductor nanostructures, it is influenced by spatial variations in the material composition and by local deformations of the lattice due to elastic strain. In order to model TEM images, we need to use elasticity theory to obtain the strain profile and couple this with the equations describing the electron propagation through the sample."@en
DOI ap s11082 020 02356 y ep
MaRDI ID ap Item: Q6675392 ep

Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EadieHofsteeEquationforUniUniReactionwithoutProductSteadyStateAssumption

equation for uni uni reaction without product following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
defining formulation dp "$v_0 = V_{max,f} - K_S \frac{v_0}{c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674335 ep

Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EadieHofsteeEquationforUniUniReactionwithoutProductIrreversibilityAssumption

equation for uni uni reaction without product following irreversibility assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
defining formulation dp "$v_0 = V_{max,f} - K_S \frac{v_0}{c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674331 ep

Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EadieHofsteeEquationforUniUniReactionwithoutProductRapidEquilibriumAssumption

equation for uni uni reaction without product following rapid equilibrium assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
defining formulation dp "$v_0 = V_{max,f} - K_S \frac{v_0}{c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674333 ep

Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EadieHofsteeEquationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$v_0 = V_{max,f} - K_S (1 + \frac{c_I}{K_{ic}}) \frac{v_0}{c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674327 ep

Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EadieHofsteeEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and mixed complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$$v_0 = \frac{V_{max,f}}{1+\frac{c_I}{K_{iu}}} - \frac{K_m (1+\frac{c_I}{K_{ic}})}{1+\frac{c_I}{K_{iu}}} \frac{v_0}{c_S}$$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674328 ep

Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EadieHofsteeEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
similar to op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$$v_0 = \frac{V_{max,f}}{1+\frac{c_I}{K_{iu}}} - \frac{K_m (1+\frac{c_I}{K_{ic}})}{1+\frac{c_I}{K_{iu}}} \frac{v_0}{c_S}$$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674329 ep

Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EadieHofsteeEquationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{V_{max,f}}{1 + \frac{c_I}{K_{iu}}} - \frac{K_S}{1 + \frac{c_I}{K_{iu}}} \frac{v_0}{c_S}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$,Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$,Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674330 ep

Earth Massni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EarthMass

mass of the planet Earth
belongs to
Quantity c
has facts
contained in op Free Fall Time ni
contained in op Gravitational Acceleration (Earth Surface) ni
specializes op Mass ni
is physical constant dp "true"^^boolean
MaRDI ID ap Item: Q6673935 ep
Wikidata ID ap Q25935139 ep

Earth Radiusni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EarthRadius

mean distance from the Earth's center to its surface
belongs to
Quantity c
has facts
contained in op Gravitational Acceleration (Earth Surface) ni
contained in op Uniform Gravitational Acceleration ni
specializes op Length ni
is physical constant dp "true"^^boolean
description ap "mean distance from the Earth's center to its surface: A globally-average value is usually considered to be 6,371 kilometres with a 0.3% variability (±10 km)"@en
MaRDI ID ap Item: Q6673936 ep
Wikidata ID ap Q1155470 ep

Edgesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Edges

set of all edges in a graph
belongs to
Quantity c
has facts
contained in op Public Transportation Network ni
MaRDI ID ap Item: Q6673937 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q124247109"

Effective Conductivityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EffectiveConductivity

combined effects of conduction, convection, and radiation heat transfer within an enclosed space or material
belongs to
Quantity c
has facts
contained in op Monodomain Equation for Action Potential Propagation ni
specializes op Electric Conductivity ni
description ap "Effective conductivity refers to the combined effects of conduction, convection, and radiation heat transfer within an enclosed space or material and measures how effectively the medium can transfer heat."@en
MaRDI ID ap Item: Q6673938 ep

Effective Massni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EffectiveMass

mass that a particle appears to have when responding to forces
belongs to
Quantity c
has facts
specialized by op Effective Mass (Solid-State Physics) ni
specialized by op Effective Mass (Spring-Mass System) ni
specializes op Mass ni
description ap "The mass that a particle appears to have when responding to forces, or the mass that it seems to have when interacting with other identical particles."@en
MaRDI ID ap Item: Q6673939 ep
QUDT ID ap Effective Mass ep
Wikidata ID ap Q1064434 ep

Effective Mass (Solid-State Physics)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EffectiveMassSolidStatePhysics

effective electron masses are deduced from band structure calculations (curvature of bands)
belongs to
Quantity c
has facts
specializes op Effective Mass ni
specializes op Mass ni
description ap "In solid state physics, effective electron masses are deduced from band structure calculations (curvature of bands). In certain cases, these masses can have negative values. Their absolute values are typically found between 0.01 and 10 times the mass of a free electron."@en
MaRDI ID ap Item: Q6673940 ep
Wikidata ID ap Q1064434 ep

Effective Mass (Spring-Mass System)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EffectiveMassSpringMassSystem

mass that needs to be added to a particle mass to correctly predict the behavior of the system
belongs to
Quantity c
has facts
contained in op Hill-Type Two-Muscle-One-Tendon ODE System ni
specializes op Effective Mass ni
specializes op Mass ni
MaRDI ID ap Item: Q6673941 ep
Wikidata ID ap Q3509437 ep

Efficient Numerical Simulation of Soil-Tool Interactionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EfficientNumericalSimulationOfSoilToolInteraction

computational method for efficient simulation of soil-tool interactions
belongs to
Research Problem c
has facts
contained in op Civil Engineering ni
described as studied by op Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction ni
described by op Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction ni
modeled by op Recurrent Neural Network Surrogate for Discrete Element Method ni

Egyptologyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Egyptology

scientific study of ancient Egypt
belongs to
Research Field c
has facts
contains op Identify Destruction Rules in Ancient Egyptian Objects ni
contains op Sort Ancient Egyptian Objects ni
specializes op Archaeology ni
MaRDI ID ap Item: Q6032633 ep
Wikidata ID ap Q145903 ep

Eigenstress of Crystalni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EigenStressOfCrystal

eigenstress of a crystal (stress-free condition) used in theory of elasticity
belongs to
Quantity c
has facts
contained in op Momentum Balance Equation ni
contained in op Neumann Boundary Condition (Stress-Free Relaxation) ni
specializes op Mechanical Stress ni
specializes op Stress of Crystal ni
MaRDI ID ap Item: Q6673942 ep

Elastic Stiffness Tensorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElasticStiffnessTensor

fourth-order tensor that describes the relationship between stress and strain in a material
belongs to
Quantity c
has facts
contained in op Hooke Law (Linear Elasticity) ni
description ap "Elastic Stiffness Tensor, used e.g. in Hook's Law for the elastic deformation of a solid."@en
MaRDI ID ap Item: Q6673944 ep

Electric Capacitanceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Capacitance

ability of a body to store electrical charge
belongs to
Quantity Kind c
has facts
specialized by op Membrane Capacitance ni
MaRDI ID ap Item: Q6673701 ep
QUDT ID ap Capacitance ep
Wikidata ID ap Q164399 ep

Electric Charge Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricChargeDensity

electric charge per volume
belongs to
Quantity c
has facts
contained in op Gauss Law (Electric Field) ni
similar to op Density of Electrons ni
similar to op Density of Holes ni
similar to op Electric Charge Density ni
specialized by op Density of Holes ni
MaRDI ID ap Item: Q6673945 ep
Wikidata ID ap Q69425629 ep

Electric Conductivityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricConductivity

physical quantity and property of material describing how readily a given material allows the flow of electric current
belongs to
Quantity Kind c
has facts
contained in op Ohm Equation ni
specialized by op Effective Conductivity ni
description ap "when subject to an electric field, the negatively charged electrons and positively charged atomic nuclei are subject to opposite forces and undergo charge separation."@en
MaRDI ID ap Item: Q6673713 ep
QUDT ID ap Conductivity.html ep
Wikidata ID ap Q4593291 ep

Electric Currentni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricCurrent

base quantity of the International System of Quantities (ISQ), measured in ampere (A)
belongs to
Quantity Kind c
has facts
specialized by op Coupling Current ni
specialized by op Ion Current ni
specialized by op Neural Input ni
specialized by op Sensory Organ Current ni
MaRDI ID ap Item: Q6673710 ep
QUDT ID ap Electric Current ep
Wikidata ID ap Q29996 ep

Electric Current Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricCurrentDensity

electric current per area of cross section
belongs to
Quantity c
has facts
contained in op Ampere Law ni
contained in op Ohm Equation ni
similar to op Electric Current Density ni
similar to op Flux of Electrons ni
similar to op Flux of Holes ni
MaRDI ID ap Item: Q6673738 ep
Wikidata ID ap Q234072 ep

Electric Current Density of Electronsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricCurrentDensityOfElectrons

density of electric current of electrons, e.g., in a semiconductor device
belongs to
Quantity c
has facts
contained in op Continuity Equation for Electrons ni
contained in op Electric Current Density of Electrons ni
contains op Density of Electrons ni
contains op Electric Current Density of Electrons ni
contains op Electric Potential ni
contains op Elementary Charge ni
contains op Fermi Potential for Electrons ni
contains op Mobility of Electrons ni
similar to op Electric Current Density of Electrons ni
similar to op Electric Current Density of Holes ni
specializes op Current Density ni
defining formulation dp "$j_n \equiv -q\mu_nn(\psi,\phi_n) \nabla \phi_n$"^^La Te X ep
in defining formulation dp "$\mu_n$, Mobility of Electrons"^^La Te X ep
in defining formulation dp "$\phi_n$, Fermi Potential for Electrons"^^La Te X ep
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
in defining formulation dp "$j_n$, Electric Current Density of Electrons"^^La Te X ep
in defining formulation dp "$n$, Density of Electrons"^^La Te X ep
in defining formulation dp "$q$, Elementary Charge"^^La Te X ep
is dynamic dp "false"^^boolean
is space-continuous dp "true"^^boolean
alt Label ap "flux of electrons"@en
MaRDI ID ap Item: Q6673888 ep

Electric Current Density of Holesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricCurrentDensityOfHoles

density of electric current of holes, e.g., in a semiconductor device
belongs to
Quantity c
has facts
contained in op Continuity Equation for Holes ni
contained in op Electric Current Density of Holes ni
contains op Density of Holes ni
contains op Electric Current Density of Holes ni
contains op Electric Potential ni
contains op Elementary Charge ni
contains op Fermi Potential for Holes ni
contains op Mobility of Holes ni
similar to op Electric Current Density of Electrons ni
similar to op Electric Current Density of Holes ni
specializes op Current Density ni
defining formulation dp "$j_p \equiv -q\mu_pp(\psi,\phi_p) \nabla \phi_p$"^^La Te X ep
in defining formulation dp "$\mu_p$, Mobility of Holes"^^La Te X ep
in defining formulation dp "$\phi_p$, Fermi Potential for Holes"^^La Te X ep
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
in defining formulation dp "$j_p$, Electric Current Density of Holes"^^La Te X ep
in defining formulation dp "$p$, Density of Holes"^^La Te X ep
in defining formulation dp "$q$, Elementary Charge"^^La Te X ep
is dynamic dp "false"^^boolean
is space-continuous dp "true"^^boolean
alt Label ap "flux of holes"@en
MaRDI ID ap Item: Q6673891 ep

Electric Dipole Momentni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricDipoleMoment

vector physical quantity measuring the separation of positive and negative electrical charges within a system
belongs to
Quantity Kind c
has facts
contained as parameter in op Quantum Stationary States ni
contained as parameter in op Quantum Time Evolution ni
contained in op Quantum Hamiltonian (Electric Dipole) ni
contained in op Quantum Stationary States ni
contained in op Quantum Time Evolution ni
MaRDI ID ap Item: Q6673714 ep
Wikidata ID ap Q735135 ep

Electric Polarizabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricPolarizability

tendency of matter subjected to an electric field to acquire an electric dipole moment
belongs to
Quantity Kind c
has facts
contained in op Quantum Hamiltonian (Electric Polarizability) ni
similar to op Electric Polarizability ni
similar to op Permittivity (Dielectric) ni
MaRDI ID ap Item: Q6673715 ep
Wikidata ID ap Q869891 ep

Electric Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricPotential

electric field is the gradient of the electrostatic potential
belongs to
Quantity c
has facts
contained as input in op Quantum Stationary States ni
contained as input in op Quantum Time Evolution ni
contained as output in op Semiconductor Charge Neutrality ni
contained in op Boltzmann Approximation for Electrons ni
contained in op Boltzmann Approximation for Holes ni
contained in op Continuity Equation for Electrons ni
contained in op Continuity Equation for Holes ni
contained in op Dirichlet Boundary Condition for Electric Potential ni
contained in op Electric Current Density of Electrons ni
contained in op Electric Current Density of Holes ni
contained in op Laplace Equation for the Electric Potential ni
contained in op Neumann Boundary Condition for Electric Potential ni
contained in op Periodic Boundary Condition for Electric Potential ni
contained in op Poisson Equation for the Electric Potential ni
contained in op Poisson Equation for the Electric Potential (Finite Volume) ni
contained in op Quantum Hamiltonian (Electric Charge) ni
contained in op Quantum Stationary States ni
contained in op Quantum Time Evolution ni
contained in op Semiconductor Charge Neutrality ni
similar to op Electric Potential ni
similar to op Electric Potential Fourier Coefficients ni
specialized by op Transmembrane Potential ni
specializes op Voltage ni
alt Label ap "Electrostatic Potential"@en
MaRDI ID ap Item: Q6534319 ep
QUDT ID ap Electric Potential ep
Wikidata ID ap Q55451 ep

Electric Potential Fourier Coefficientsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricPotentialFourierCoefficients

coefficients in a Fourier expansion of the electric potential
belongs to
Quantity c
has facts
contained in op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
contained in op Darwin-Howie-Whelan Equation for a Strained Crystal ni
similar to op Electric Potential ni
similar to op Electric Potential Fourier Coefficients ni
MaRDI ID ap Item: Q6673950 ep

Electrode Interfacesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectrodeInterfaces

positions of the electrode interfaces
belongs to
Quantity c
has facts
contained as input in op Semiconductor Charge Neutrality ni
contained in op Dirichlet Boundary Condition for Electric Potential ni
contained in op Dirichlet Boundary Condition for Electron Fermi Potential ni
contained in op Dirichlet Boundary Condition for Hole Fermi Potential ni
contained in op Neumann Boundary Condition for Electric Potential ni
contained in op Neumann Boundary Condition for Electron Fermi Potential ni
contained in op Neumann Boundary Condition for Hole Fermi Potential ni
contained in op Semiconductor Charge Neutrality ni
specializes op Length ni
description ap "Positions of the electrode interfaces. Typically used to specify boundary conditions for electric fields or electron|hole densities in semiconductor-metal interfaces (Ohmic contacts)"@en
MaRDI ID ap Item: Q6534326 ep
Wikidata ID ap Q3783831 ep

Electromagnetic Fields and Wavesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectromagneticFieldsAndWaves

physical fields produced by electrically charged objects
belongs to
Research Problem c
has facts
contained in op Electromagnetism ni
modeled by op Maxwell Equations Model ni
modeled by op Multipolar Expansion Model (3D) ni
description ap "Shalva: Given the initial fields E(r, t = 0) and B(r, t = 0), given full charge density ρ(r, t) and the current density j(r, t), find the electric and magnetic fields, E(r, t) and B(r, t)."@en
MaRDI ID ap Item: Q6684655 ep
Wikidata ID ap Q177625 ep

Electromagnetismni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Electromagnetism

branch of science concerned with the phenomena of electricity and magnetism
belongs to
Research Field c
has facts
contains op Electromagnetic Fields and Waves ni
contains op Particles in Electromagnetic Fields ni
contains op Spin Qbit Shuttling ni
description ap "branch of theoretical physics that studies electromagnetic fields, waves, and forces between electric charges and currents"@en
alt Label ap "Electrodynamics"@en
MaRDI ID ap Item: Q6684704 ep
Wikidata ID ap Q377930 ep

Electron Massni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectronMass

mass of a stationary electron
belongs to
Quantity c
has facts
specializes op Mass ni
is physical constant dp "true"^^boolean
description ap "In particle physics, the mass of a stationary electron is one of the fundamental constants of physics."@en
alt Label ap "invariant mass of the electron"@en
MaRDI ID ap Item: Q6673951 ep
QUDT ID ap Electron Mass ep
Wikidata ID ap Q3814108 ep

Electron Shuttling Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectronShuttlingModel

quantum dynamical model of an electron to be shuttled in a Si/SiGe quantum bus
belongs to
Mathematical Model c
has facts
contains op Dirichlet Boundary Condition for Electric Potential ni
contains op Laplace Equation for the Electric Potential ni
contains op Neumann Boundary Condition for Electric Potential ni
contains op Periodic Boundary Condition for Electric Potential ni
contains op Quantum Hamiltonian (Electric Charge) ni
contains op Quantum Lindblad Equation ni
contains op Schrödinger Equation (Time Dependent) ni
contains op Schrödinger Equation (Time Independent) ni
contains boundary condition op Dirichlet Boundary Condition for Electric Potential ni
contains boundary condition op Neumann Boundary Condition for Electric Potential ni
contains boundary condition op Periodic Boundary Condition for Electric Potential ni
models op Spin Qbit Shuttling ni
specializes op Control System Model ni
specializes op Control System Model (Bilinear) ni
specializes op Quantum Model (Closed System) ni
specializes op Quantum Model (Open System) ni
used by op Optimal Control ni
used by op Quantum Stationary States ni
used by op Quantum Time Evolution ni
used by op Semiconductor Charge Neutrality ni
description ap "Quantum dynamical modeling of an electron to be shuttled, governed by the electric potential generated by the clavier (and other) gates in a Silicon QuBus device. Spin and valley states as well as the respective interactions are neglected. Moreover, the current model is limited to the coherent wave packet evolution and disregards the effects of noise and dissipation."@en
DOI ap W I A S. P R E P R I N T.3082 ep
MaRDI ID ap Item: Q6534342 ep

Electrophysiological Muscle Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectrophysiologicalMuscleModel

mathematical model of the neuromuscular system combining continuum mechanics models with electrophysiological models
belongs to
Mathematical Model c
has facts
contains op Electrophysiological Muscle ODE System ni
described as studied by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
described by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
models op Muscle Movement ni
MaRDI ID ap Item: Q6675402 ep

Electrophysiological Muscle ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Electrophysiological_Muscle_Model_ODE_System

three-dimensional electrophysiological model for a muscle
belongs to
Mathematical Formulation c
has facts
contained in op Electrophysiological Muscle Model ni
contains op Boundary Conditions of Electrophysiological Muscle ODE System ni
contains op Displacement Muscle Tendon ni
contains op Lumped Activation Parameter ni
contains op Material Density ni
contains op Material Point Acceleration ni
contains op Material Point Velocity ni
contains op Pressure ni
contains op Stress Tensor (Piola-Kirchhoff) ni
contains op Time ni
contains boundary condition op Boundary Conditions of Electrophysiological Muscle ODE System ni
defining formulation dp "$\begin{align} \rho_{\text{M}1} \mathbf{\ddot{x}}_{\text{M}1} &= \mathbf{\nabla} \cdot \left(\mathbf{P}_{\text{passive}}(\mathbf{F}_{\text{M}1}) + \mathbf{P}_{\text{active}}(\mathbf{F}_{\text{M}1}, \gamma_{\text{M}1}) - p_{\text{M}1}\mathbf{F}^{-T}_{\text{M}1} \right), &\text{div $\mathbf{\dot{x}}_{\text{M}1} = 0$} ~ &\text{in $\Omega_{\text{M}1}\times [0,T_{\text{end}})$}\\ \rho_{\text{M}2} \mathbf{\ddot{x}}_{\text{M}2} &= \mathbf{\nabla} \cdot \left(\mathbf{P}_{\text{passive}}(\mathbf{F}_{\text{M}2}) + \mathbf{P}_{\text{active}}(\mathbf{F}_{\text{M}2}, \gamma_{\text{M}2}) - p_{\text{M}2}\mathbf{F}^{-T}_{\text{M}2} \right), &\text{div $\mathbf{\dot{x}}_{\text{M}2} = 0$} ~ &\text{in $\Omega_{\text{M}2}\times [0,T_{\text{end}})$}\\ \rho_{\text{T}}\mathbf{\ddot{x}}_\text{T}&= \mathbf{\nabla} \cdot \left(\mathbf{P}_\text{passive}(\mathbf{F}_{\text{T}}) - p_\text{T}\mathbf{F}^{-T}_{\text{T}}\right), &\text{div $\mathbf{\dot{x}}_{\text{T}}=0$}& ~\text{in $\Omega_{\text{T}}\times [0,T_{\text{end}})$} \end{align}$"^^La Te X ep
in defining formulation dp "$\ddot{\mathbf{x}}$, Material Point Acceleration"^^La Te X ep
in defining formulation dp "$\dot{\mathbf{x}}$, Material Point Velocity"^^La Te X ep
in defining formulation dp "$\gamma$, Lumped Activation Parameter"^^La Te X ep
in defining formulation dp "$\mathbf{P}$, Stress Tensor (Piola-Kirchhoff)"^^La Te X ep
in defining formulation dp "$\mathbf{x}$, Displacement Muscle Tendon"^^La Te X ep
in defining formulation dp "$\rho$, Material Density"^^La Te X ep
in defining formulation dp "$p$, Pressure"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
description ap "One continuum mechanics three-dimensional model for each participant. The equations originate from conservation of mass and momentum for each participant."@en
MaRDI ID ap Item: Q6674244 ep

Empirical Distribution of Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EmpiricalDistributionOfIndividuals

empirical distribution of individuals that follow a specific medium and influencer
belongs to
Quantity c
has facts
contained in op Empirical Distribution of Individuals Formulation ni
description ap "Empirical distribution of individuals that follow a specific medium and influencer at a given time by the sum of Dirac Delta distributions placed at the individuals’ opinions."@en
MaRDI ID ap Item: Q6673955 ep

Empirical Distribution of Individuals Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EmpiricalDistributionOfIndividualsFormulation

empirical distribution of individuals that follow a medium and influencer
belongs to
Mathematical Formulation c
has facts
contained in op Partial Mean Field Opinion Model ni
contains op Dirac Delta Distribution ni
contains op Empirical Distribution of Individuals ni
contains op Influencer Individual Matrix ni
contains op Medium Follower Matrix ni
contains op Opinion ni
contains op Time ni
contains op Total Number of Individuals ni
specialized by op Limiting Distribution of Individuals Formulation ni
defining formulation dp "$\rho_{m, l}^{(N)}(x, t)=\frac{1}{N} \sum_{\substack{i: B_{i m}=1 \\ C_{i l}(t)=1}} \delta\left(x-x_i(t)\right)$"^^La Te X ep
in defining formulation dp "$B_im$, Medium Follower Matrix"^^La Te X ep
in defining formulation dp "$C_im$, Influencer Individual Matrix"^^La Te X ep
in defining formulation dp "$N$, Total Number of Individuals"^^La Te X ep
in defining formulation dp "$\delta$, Dirac Delta Distribution"^^La Te X ep
in defining formulation dp "$\rho_{m, l}^{(N)}$, Empirical Distribution of Individuals"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Opinion"^^La Te X ep
in defining formulation dp "$x_i$, Opinion"^^La Te X ep
is dimensionless dp "true"^^boolean
description ap "Empirical distribution of individuals that follow a medium m and influencer l at time t by the sum of Dirac Delta distributions $\delta$ placed at the individuals’ opinions. This distribution describes the stochastic opinion instances at a given time and integrates to $\int_D \rho_{m, l}^{(N)}(x, t) d x=: n_{m, l}^{(N)}(t)$, the proportion of individuals that follow medium m and influencer l."@en
MaRDI ID ap Item: Q6674458 ep

Energyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Energy

quantitative property of a physical system, recognizable in the performance of work and in the form of heat and light
belongs to
Quantity Kind c
has facts
specialized by op Band Edge Energy for Conduction Band ni
specialized by op Band Edge Energy for Valence Band ni
specialized by op Classical Hamilton Function ni
specialized by op Fermi Potential for Electrons ni
specialized by op Fermi Potential for Holes ni
MaRDI ID ap Item: Q6673696 ep
QUDT ID ap Energy ep
Wikidata ID ap Q11379 ep

Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product1ComplexConcentrationODEBiBiOrderedsingleCC

ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{EP_1}}{dt} = k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} + k_{-5} c_{E} c_{P_1} - k_{-4} c_{EP_1} c_{P_2} - k_{5} c_{EP_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{EP_{1}}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_{1}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_{1}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674185 ep

Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product1ComplexConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{EP_1}}{dt} = k_{4} c_{EP_{1}P_{2}} + k_{-5} c_{E} c_{P_1} - k_{-4} c_{EP_1} c_{P_2} - k_{5} c_{EP_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{EP_{1}}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{EP_{1}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_{1}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674177 ep

Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product1-Product2ComplexConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{EP_{1}P_{2}}}{dt} = k_{3} c_{ES_{1}S_{2}} + k_{-4} c_{EP_1} c_{P_2} - k_{-3} c_{EP_{1}P_{2}} - k_{4} c_{EP_{1}P_{2}}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{EP_{1}P_{2}}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674176 ep

Enzyme - Product 1 - Product 2 Complex Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeProduct1Product2ComplexConcentration

amount of enzyme - product 1 - product 2 complex present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673798 ep

Enzyme - Product 1 Complex Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeProduct1ComplexConcentration

amount of enzyme - product 1 complex present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673797 ep

Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Product2ComplexConcentrationODEBiBiTheorellChance

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{EP_2}}{dt} = k_{2} c_{ES_1} c_{S_2} + k_{-3} c_{E} c_{P_2} - k_{-2} c_{EP_2} c_{P_1} - k_3 c_{EP_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{EP_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674234 ep

Enzyme - Product 2 Complex Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeProduct2ComplexConcentration

amount of enzyme - product 2 complex present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673821 ep

Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeSubstrateComplexConcentrationODEUniUni

ordinary differential equation describing the concentration over time in an uni uni reaction
belongs to
Mathematical Formulation c
has facts
contained in op Uni Uni Reaction ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{ES}}{dt}=k_{1}*c_{E}*c_{S}-k_{-1}*c_{ES}-k_{2}*c_{ES}+k_{-2}*c_{E}*c_{P}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674346 ep

Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiOrderedsingleCC

ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} c_{E} c_{S_1} + k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674187 ep

Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} c_{E} c_{S_1} + k_{-2} c_{ES_{1}S_{2}} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674179 ep

Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiPingPong

ordinary differential equation describing the concentration over time in a ping pong bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} c_{E} c_{S_1} + k_{-2} c_{E*} c_{P_1} - k_{-1} c_{ES_1} - k_{2} c_{ES_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E*}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674212 ep

Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1ComplexConcentrationODEBiBiTheorellChance

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{ES_1}}{dt} = k_{1} c_{E} c_{S_1} + k_{-2} c_{EP_{2}} c_{P_1} - k_{-1} c_{ES_1} - k_2 c_{ES_1} c_{S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674235 ep

Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1-Substrate2ComplexConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{ES_{1}S_{2}}}{dt} = k_{2} c_{ES_1} c_{S_2} + k_{-3} c_{EP_{1}P_{2}} - k_{-2} c_{ES_{1}S_{2}} - k_{3} c_{ES_{1}S_{2}}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_{1}S_{2}}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674178 ep

Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Enzyme-Substrate1-Substrate2Enzyme-Product1-Product2-ComplexConcentrationODEBiBiOrderedsingleCC

ordinary differential equation describing the concentration over time in an ordered bi bi reaction with Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{ES_{1}E_{2}=EP_{1}P_{2}}}{dt} = k_2 c_{ES_1} c_{S_2} - k_{-2} c_{ES_{1}E_{2}=EP_{1}P_{2}} - k_4 c_{ES_{1}E_{2}=EP_{1}P_{2}} + k_{-4} c_{EP_1} c_{P_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES_{1}S_{2}=EP_{1}P_{2}}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674186 ep

Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeSubstrate1Substrate2EnzymeProduct1Product2ComplexConcentration

amount of enzyme - substrate 1 - substrate 2 = enzyme -product 1 - product 2 complex present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673815 ep

Enzyme - Substrate 1 - Substrate 2 Complex Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeSubstrate1Substrate2ComplexConcentration

amount of enzyme - substrate 1 - substrate 2 complex present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673800 ep

Enzyme - Substrate 1 Complex Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeSubstrate1ComplexConcentration

amount of enzyme - substrate 1 complex present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673799 ep

Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiOrderedsingleCC

ordinary differential equation describing the concentration over time in an ordered bi bi reaction with Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} c_{ES_1} + k_5 c_{EP_1} - k_{1} c_{E} c_{S_1} - k_{-5} c_{E} c_{P_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674188 ep

Enzyme Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} c_{ES_1} + k_5 c_{EP_1} - k_{1} c_{E} c_{S_1} - k_{-5} c_{E} c_{P_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674180 ep

Enzyme Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiPingPong

ordinary differential equation describing the concentration over time in a ping pong bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} c_{ES_1} + k_{4} c_{E*S_2} - k_{1} c_{E} c_{S_1} - k_{-4} c_{E} c_{P_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E*S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674213 ep

Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEBiBiTheorellChance

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{E}}{dt} = k_{-1} c_{ES_1} + k_3 c_{EP_2} - k_{1} c_{E} c_{S_1} - k_{-3} c_{E} c_{P_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674236 ep

Enzyme Concentration ODE (Uni Uni Reaction)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeConcentrationODEUniUni

ordinary differential equation describing the concentration over time in an uni uni reaction
belongs to
Mathematical Formulation c
has facts
contained in op Uni Uni Reaction ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{E}}{dt}=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES}+k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674345 ep

Enzyme Conservationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzmeConservation

enzyme molecules are neither formed nor destroyed during the reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (ODE Model) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Complexed Enzyme Concentration ni
contains op Enzyme Concentration ni
contains op Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) ni
contains initial condition op Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) ni
defining formulation dp "$c_{E_{0}} = c_{E} + c_{EX}$"^^La Te X ep
in defining formulation dp "$c_{EX}$, Complexed Enzyme Concentration"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Enzyme Concentration"^^La Te X ep
MaRDI ID ap Item: Q6674164 ep

Enzyme Kineticsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeKinetics

study of rates of enzyme-catalyzed reactions
belongs to
Research Field c
has facts
contains op Bi Bi Reaction ni
contains op Bi Bi Reaction following Ordered Mechanism ni
contains op Bi Bi Reaction following Ordered Mechanism with Single Central Complex ni
contains op Bi Bi Reaction following Ping Pong Mechanism ni
contains op Bi Bi Reaction following Theorell-Chance Mechanism ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 and Single Central Complex ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 and Single Central Complex ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 and Single Central Complex ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products and Single Central Complex ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism without Products ni
contains op Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 2 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 and 2 ni
contains op Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism without Products ni
contains op Initial Reaction Rate of Uni Uni Reaction with Product ni
contains op Initial Reaction Rate of Uni Uni Reaction without Product ni
contains op Uni Uni Reaction ni
contains op Uni Uni Reaction with Competitive Complete Inhibition ni
contains op Uni Uni Reaction with Competitive Partial Inhibition ni
contains op Uni Uni Reaction with Mixed Complete Inhibition ni
contains op Uni Uni Reaction with Mixed Partial Inhibition ni
contains op Uni Uni Reaction with Non-Competitive Complete Inhibition ni
contains op Uni Uni Reaction with Non-Competitive Partial Inhibition ni
contains op Uni Uni Reaction with Reversible Complete Inhibition ni
contains op Uni Uni Reaction with Reversible Partial Inhibition ni
contains op Uni Uni Reaction with Uncompetitive Complete Inhibition ni
contains op Uni Uni Reaction with Uncompetitive Partial Inhibition ni
described as surveyed by op Leskovac (2003) Comprehensive Enzyme Kinetics ni
described by op Leskovac (2003) Comprehensive Enzyme Kinetics ni
specializes op Chemical Reaction Kinetics ni
specializes op Physical Chemistry ni
MaRDI ID ap Item: Q6684695 ep
Wikidata ID ap Q883112 ep

Enzyme-Substrate Complex Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EnzymeSubstrateComplexConcentration

amount of enzyme-substrate complex present in a reaction environment
belongs to
Quantity c
has facts
contained in op Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model) ni
specializes op Complexed Enzyme Concentration ni
specializes op Concentration ni
specializes op Enzyme Concentration ni
MaRDI ID ap Item: Q6673958 ep

Epidemiologyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Epidemiology

study of the patterns, causes, and effects of health and disease conditions
belongs to
Research Field c
has facts
contains op Spreading of Infectious Diseases ni
MaRDI ID ap Item: Q6684705 ep
Wikidata ID ap Q133805 ep

Equilibrium Constant (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EquilibriumConstantBiBiReactionOrderedSingleCCSS

equilibrium constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contains op Equilibrium Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{eq} = \frac{k_1 k_2 k_4 k_5}{k_{-1} k_{-2} k_{-4} k_{-5}}$"^^La Te X ep
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674347 ep

Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EquilibriumConstantBiBiReactionOrderedSS

equilibrium constant of bi bi rection following ordered mechnism with steady state assumption
belongs to
Quantity c
has facts
contained in op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contains op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Equilibrium Constant ni
defining formulation dp "$K_{eq} \equiv \frac{k_1 k_2 k_3 k_4 k_5}{k_{-1} k_{-2} k_{-3} k_{-4} k_{-5}}$"^^La Te X ep
in defining formulation dp "$K_{eq}$, Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673960 ep

Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EquilibriumConstantBiBiReactionPingPongSS

equilibrium constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Equilibrium Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{eq} = \frac{k_{1} k_{2} k_{3} k_{4}}{k_{-1} k_{-2} k_{-3} k_{-4}}$"^^La Te X ep
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674348 ep

Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EquilibriumConstantBiBiReactionTheorellChanceSS

equilibrium constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Equilibrium Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{eq} = \frac{k_1 k_2 k_3}{k_{-1} k_{-2} k_{-3}}$"^^La Te X ep
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674349 ep

Ermoneit (2023) Optimal control of conveyor-mode spin-qubit shuttling in a Si/SiGe quantum bus in the presence of charged defectsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Ermoneit_2023_Optimal_control_of_conveyor-mode_spin-qubit_shuttling_in_a_Si_SiGe_quantum_bus_in_the_presence_of_charged_defects

publication
belongs to
Publication c
has facts
DOI ap W I A S. P R E P R I N T.3082 ep

Euler Backward Methodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EulerBackwardMethod

one of the most basic numerical methods in numerical analysis and scientific computing for the solution of ordinary differential equations
belongs to
Mathematical Formulation c
has facts
contained in op Classical Newton Equation (Stoermer Verlet) ni
contained in op Schrödinger Equation (Differencing Scheme) ni
contained in op Schrödinger Equation (Second Order Differencing) ni
contains op Right Hand Side Of Differential Equation ni
contains op Time ni
contains op Time Step ni
contains op Unknown Function ni
specialized by op Darcy Equation (Euler Backward) ni
specialized by op Stokes Equation (Euler Backward) ni
specializes op Euler Method ni
specializes op Runge–Kutta Method ni
defining formulation dp "$y_{n+1}=y_{n}+h f\left(t_{n+1}, y_{n+1}\right)$"^^La Te X ep
in defining formulation dp "$y$, Unknown Function"@en
in defining formulation dp "$f$, Right Hand Side Of Differential Equation"^^La Te X ep
in defining formulation dp "$h$, Time Step"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is time-continuous dp "false"^^boolean
description ap "similar to the (standard, forward, explicit) Euler method, but differs in that it is an implicit method. The backward Euler method has error of order one in time."@en
alt Label ap "Implicit Euler Method"
MaRDI ID ap Item: Q6674269 ep
Wikidata ID ap Q2736820 ep

Euler Forward Methodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EulerForwardMethod

in mathematics and computational science, this method is a first-order numerical procedure for solving ODEs with a given initial value
belongs to
Mathematical Formulation c
has facts
contained in op Classical Hamilton Equations (Leap Frog) ni
contained in op Classical Newton Equation (Stoermer Verlet) ni
contained in op Schrödinger Equation (Differencing Scheme) ni
contained in op Schrödinger Equation (Second Order Differencing) ni
contains op Right Hand Side Of Differential Equation ni
contains op Time ni
contains op Time Step ni
contains op Unknown Function ni
specializes op Euler Method ni
specializes op Runge–Kutta Method ni
defining formulation dp "$y_{n+1}=y_{n}+h f(t_n, y_n)$"^^La Te X ep
in defining formulation dp "$f$, Right Hand Side Of Differential Equation"@en
in defining formulation dp "$h$, Time Step"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$y$, Unknown Function"^^La Te X ep
is time-continuous dp "false"^^boolean
description ap "It is the most basic explicit method for numerical integration of ordinary differential equations and is the simplest Runge–Kutta method."@en
alt Label ap "Forward Euler Method"@en
MaRDI ID ap Item: Q6674265 ep
Wikidata ID ap Q868454 ep

Euler Methodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EulerMethod

first-order numerical procedure for solving ordinary differential equations with a given initial value
belongs to
Mathematical Formulation c
has facts
specialized by op Darcy Equation (Euler Backward) ni
specialized by op Euler Backward Method ni
specialized by op Euler Forward Method ni
specialized by op Stokes Equation (Euler Backward) ni
MaRDI ID ap Item: Q6674351 ep
Wikidata ID ap Q868454 ep

Euler Numberni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#EulerNumber

transcendental number approximately equal 2.718281828....
belongs to
Quantity c
has facts
contained in op Euler Number ni
contained in op Gaussian Distribution ni
contained in op Poisson Distribution ni
contains op Euler Number ni
specializes op Real Number (Dimensionless) ni
defining formulation dp "$\begin{align}\mathrm{e} &\equiv& \lim_{n \to \infty} \left(1 + \frac{1}{n}\right)^n\\\mathrm{e} &\equiv& \sum\limits_{n = 0}^{\infty} \frac{1}{n!} \end{align}$"^^La Te X ep
in defining formulation dp "$\mathrm{e}$, Euler Number"^^La Te X ep
is dimensionless dp "true"^^boolean
is mathematical constant dp "true"^^boolean
MaRDI ID ap Item: Q6673963 ep
Wikidata ID ap Q82435 ep

Excitation Errorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExcitationError

in dynamical electron scattering, the excitation error shows how well the Laue condition is satisfied
belongs to
Quantity c
has facts
contained in op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
contained in op Darwin-Howie-Whelan Equation for a Strained Crystal ni
DOI ap s11082 020 02356 y ep
MaRDI ID ap Item: Q6673964 ep

Expectation Valueni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExpectationValue

long-run average value of a random variable
belongs to
Quantity Kind c
has facts
contained in op Gaussian Distribution ni
contained in op Poisson Distribution ni
specialized by op Expectation Value (Quantum Density) ni
specialized by op Expectation Value (Quantum State) ni
MaRDI ID ap Item: Q6673718 ep
Wikidata ID ap Q200125 ep

Expectation Value (Quantum Density)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExpectationValueQuantumDensity

expected (mean) value of a quantum-mechanical observable, calculated from a density
belongs to
Quantity c
has facts
contained as output in op Quantum Time Evolution ni
contained in op Expectation Value (Quantum Density) ni
contained in op Quantum Time Evolution ni
contains op Expectation Value (Quantum Density) ni
contains op Quantum Density Operator ni
contains op Quantum Mechanical Operator ni
specialized by op Expectation Value (Quantum State) ni
specializes op Expectation Value ni
defining formulation dp "$\langle \hat{O} \rangle \equiv \mathrm{tr}(\hat{O}\hat{\rho})$"^^La Te X ep
in defining formulation dp "$\hat{O}$, Quantum Mechanical Operator"^^La Te X ep
in defining formulation dp "$\langle \hat{O} \rangle$, Expectation Value (Quantum Density)"^^La Te X ep
in defining formulation dp "$\rho$, Quantum Density Operator"^^La Te X ep
MaRDI ID ap Item: Q6673965 ep
Wikidata ID ap Q2918589 ep

Expectation Value (Quantum State)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExpectationValueQuantumState

expected (mean) value of a quantum-mechanical observable, calculated from a state vector
belongs to
Quantity c
has facts
contained as output in op Quantum Stationary States ni
contained as output in op Quantum Time Evolution ni
contained in op Expectation Value (Quantum State) ni
contained in op Quantum Stationary States ni
contained in op Quantum Time Evolution ni
contains op Expectation Value (Quantum State) ni
contains op Quantum Mechanical Operator ni
contains op Quantum State Vector ni
specializes op Expectation Value ni
specializes op Expectation Value (Quantum Density) ni
defining formulation dp "$\langle \hat{O} \rangle \equiv \langle \psi |\hat{O}| \psi \rangle$"^^La Te X ep
in defining formulation dp "$\hat{O}$, Quantum Mechanical Operator"^^La Te X ep
in defining formulation dp "$\langle \hat{O} \rangle$, Expectation Value (Quantum State)"^^La Te X ep
in defining formulation dp "$\psi$, Quantum State Vector"^^La Te X ep
MaRDI ID ap Item: Q6673967 ep

Exposure of an Individualni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExposureOfAnIndividual

exposure (time) of an individual at a certain age
belongs to
Quantity c
has facts
contained as input in op Maximizing Poisson log-Likelihood ni
contained in op Maximizing Poisson log-Likelihood ni
contained in op Poisson-Distributed Deaths ni
contained in op Poisson log-Likelihood ni
specializes op Time ni
MaRDI ID ap Item: Q6673969 ep

External Chemical Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExternalChemicalPotential

chemical potential on the boundary of a domain, i.e., an interface
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic Diffusion Boundary Condition ni
specializes op Chemical Potential ni
MaRDI ID ap Item: Q6673839 ep

External Force Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExternalForceDensity

vector field representing the flux density of the hydrostatic force within the bulk of a fluid
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic Quasistatic Equation ni
specializes op Force Density ni
description ap "In fluid mechanics, the force density is the negative gradient of pressure. It has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid."@en
MaRDI ID ap Item: Q6673840 ep
Wikidata ID ap Q4117184 ep

Extract Logical Rulesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExtractLogicalRules

extract logical rules underlying a boolean ring
belongs to
Computational Task c
has facts
contains op Boolean Ring ni
contains op Gröbner Basis ni
contains op Logical Rule Extraction Formulation ni
contains input op Boolean Ring ni
contains output op Gröbner Basis ni
uses op Object Comparison Model ni
MaRDI ID ap Item: Q6684564 ep

Extrinsic Mortalityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ExtrinsicMortality

sum of the effects of external factors that contribute to death
belongs to
Quantity c
has facts
contained as output in op Maximizing Poisson log-Likelihood ni
contained in op Gamma-Gompertz–Makeham Law ni
contained in op Maximizing Poisson log-Likelihood ni
MaRDI ID ap Item: Q6673971 ep
Wikidata ID ap Q60776128 ep

Far Field Radiationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FarFieldRadiation

electromagnetic radiation behaviors that predominate at greater distances
belongs to
Computational Task c
has facts
uses op Maxwell Equations Model ni
uses op Multipolar Expansion Model (3D) ni
description ap "Shalva: Given ρ(r, t) and j(r, t) that are localized in some domain in space, calculate E(r, t) and B(r, t) far from this domain. For instance, calculate the electromagnetic field emitted by an oscillating dipole."@en
description ap "The far field is a region of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Electromagnetic radiation far-field behaviors predominate at greater distances."@en
MaRDI ID ap Item: Q6684565 ep

Faraday Lawni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FaradayLaw

basic law of electromagnetism of magnetic fields inducing a potential difference
belongs to
Mathematical Formulation c
has facts
contained in op Maxwell Equations Model ni
contains op Electric Field ni
contains op Magnetic Field ni
contains op Time ni
defining formulation dp "$ \nabla \times \mathbf{E} = -\frac{\partial \mathbf{B}} {\partial t}$"^^La Te X ep
in defining formulation dp "$B$, Magnetic Field"^^La Te X ep
in defining formulation dp "$E$, Electric Field"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
alt Label ap "Faraday's law of induction"@en
MaRDI ID ap Item: Q6674353 ep
Wikidata ID ap Q181465 ep

Feedforward Neural Networkni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FeedforwardNeuralNetwork

artificial neural network wherein connections between the nodes do not form a cycle
belongs to
Mathematical Model c
has facts
specializes op Artificial Neural Network ni
Wikidata ID ap Q5441227 ep

Fiber Contraction Velocityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FibreContractionVelocity

speed at which muscle fibers change length during a contraction
belongs to
Quantity c
has facts
contained in op Lumped Activation Parameter ni
contained in op Motor Neuron Pool ODE System ni
contained in op Sensory Organ Equation ni
specializes op Velocity ni
MaRDI ID ap Item: Q6673972 ep

Fiber Stretchni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FibreStretch

stretch of a fibre, e.g. in a muscle
belongs to
Quantity c
has facts
contained in op Lumped Activation Parameter ni
contained in op Motor Neuron Pool ODE System ni
contained in op Sensory Organ Equation ni
specializes op Linear Strain ni
specializes op Mechanical Strain ni
MaRDI ID ap Item: Q6673973 ep

Fick Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FickEquation

mathematical description for transport of mass|particles by diffusion
belongs to
Mathematical Formulation c
has facts
contained in op Diffusion Model ni
contains op Concentration ni
contains op Diffusion Coefficient ni
contains op Diffusion Flux ni
specializes op Classical Fokker Planck Equation ni
specializes op Poro-Visco-Elastic Diffusion Equation ni
specializes op Transport Equation ni
defining formulation dp "$F = - \alpha \nabla u$"^^La Te X ep
in defining formulation dp "$F$, Diffusion Flux"^^La Te X ep
in defining formulation dp "$\alpha$, Diffusion Constant"^^La Te X ep
in defining formulation dp "$u$, Concentration"^^La Te X ep
alt Label ap "Fick's law of diffusion"@en
MaRDI ID ap Item: Q6674310 ep
Wikidata ID ap Q856634 ep

Filtered Value of Imageni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FilteredValueOfImage

filtered value of image, used in image processing
belongs to
Quantity c
has facts
contained in op Non-Local Means ni

Finite Volume Methodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FiniteVolumeMethod

method for representing and evaluating partial differential equations in the form of algebraic equations
belongs to
Mathematical Formulation c
has facts
specialized by op Continuity Equation for Electrons (Finite Volume) ni
specialized by op Continuity Equation for Holes (Finite Volume) ni
specialized by op Darcy Equation (Finite Volume) ni
specialized by op Poisson Equation for the Electric Potential (Finite Volume) ni
specialized by op Stokes Equation (Finite Volume) ni
is space-continuous dp "false"^^boolean
description ap "Finite volume methods can be compared and contrasted with the finite difference methods, which approximate derivatives using nodal values, or finite element methods, which create local approximations of a solution using local data, and construct a global approximation by stitching them together."@en
description ap "In the finite volume method, volume integrals in a partial differential equation that contain a divergence term are converted to surface integrals, using the divergence theorem. These terms are then evaluated as fluxes at the surfaces of each finite volume."@en
MaRDI ID ap Item: Q6674355 ep
Wikidata ID ap Q1401936 ep

Fixed Costsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FixedCosts

fixed costs for something, independend of e.g. time, length,...
belongs to
Quantity c
has facts
contained in op Line Costs Computation ni
specializes op Costs ni
MaRDI ID ap Item: Q6673975 ep
Wikidata ID ap Q16897780 ep

Flow in Porous Mediani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FlowInPorousMedia

flow of an incompressible fluid through a porous medium
belongs to
Research Problem c
has facts
contained in op Continuum Mechanics ni
modeled by op Darcy Model ni
specializes op Transport of Matter ni
MaRDI ID ap Item: Q6684649 ep

Fluid Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidDensity

measure of the mass per unit volume of a fluid
belongs to
Quantity c
has facts
contained in op Fluid Kinematic Viscosity (Free Flow) ni
contained in op Reynolds Number ni
contained in op Stokes Equation ni
specializes op Particle Number Density ni
alt Label ap "Fluid Mass Density"@en
MaRDI ID ap Item: Q6673976 ep
Wikidata ID ap Q101961654 ep

Fluid Dynamic Viscosity (Free Flow)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidDynamicViscosityFreeFlow

physical property of a moving fluid in free flow
belongs to
Quantity c
has facts
contained in op Beavers–Joseph-Saffman Condition ni
contained in op Fluid Kinematic Viscosity (Free Flow) ni
contained in op Reynolds Number ni
specializes op Viscosity ni
MaRDI ID ap Item: Q6673786 ep
Wikidata ID ap Q15152757 ep

Fluid Dynamic Viscosity (Porous Medium)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidDynamicViscosityPorousMedium

physical property of a moving fluid in a porous medium
belongs to
Quantity c
has facts
contained in op Darcy Equation ni
specializes op Viscosity ni
MaRDI ID ap Item: Q6673913 ep
Wikidata ID ap Q15152757 ep

Fluid Intrinsic Permeability (Porous Medium)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidIntrinsicPermeabilityPorousMedium

measure of the ability of a porous material to allow fluids to pass through it
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Beavers–Joseph-Saffman Condition ni
contained in op Calculation of Deformation and Concentration ni
contained in op Darcy Equation ni
contained in op Poro-Visco-Elastic Diffusion Boundary Condition ni
alt Label ap "Intrinsic Permeability"@en
MaRDI ID ap Item: Q6673787 ep

Fluid Kinematic Viscosity (Free Flow)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidKinematicViscosityFreeFlow

characteristic of a fluid in free flow
belongs to
Quantity c
has facts
contained in op Fluid Kinematic Viscosity (Free Flow) ni
contained in op Navier Stokes Equation ni
contained in op Reynolds Number ni
contained in op Stokes Equation ni
contains op Fluid Density ni
contains op Fluid Dynamic Viscosity (Free Flow) ni
contains op Fluid Kinematic Viscosity (Free Flow) ni
specializes op Viscosity ni
defining formulation dp "$\nu \equiv \frac{\mu}{\rho}$"^^La Te X ep
in defining formulation dp "$\mu$, Fluid Dynamic Viscosity (Free Flow)"^^La Te X ep
in defining formulation dp "$\nu$, Fluid Kinematic Viscosity (Free Flow)"^^La Te X ep
in defining formulation dp "$\rho$, Fluid Density"^^La Te X ep
MaRDI ID ap Item: Q6673977 ep
Wikidata ID ap Q15106259 ep

Fluid Pressure (Free Flow)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidPressureFreeFlow

force exerted by a fluid (either a liquid or a gas) per unit area at any point within it in free flow
belongs to
Quantity c
has facts
contained in op Continuity of the Normal Stresses ni
contained in op Stokes Darcy Equation (Discretized, pv) ni
contained in op Stokes Equation ni
specializes op Pressure ni
MaRDI ID ap Item: Q6673893 ep

Fluid Pressure (Porous Medium)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidPressurePorousMedium

force exerted by a fluid (either a liquid or a gas) per unit area at any point within it in porous medium
belongs to
Quantity c
has facts
contained in op Continuity of the Normal Stresses ni
contained in op Darcy Equation ni
contained in op Stokes Darcy Equation (Discretized, pv) ni
contained in op Stokes Darcy Equation (Discretized, td) ni
specializes op Pressure ni
MaRDI ID ap Item: Q6673894 ep

Fluid Velocity (Free Flow)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidVelocityFreeFlow

vector field used to describe the motion of a fluid in a mathematical manner in free flow
belongs to
Quantity c
has facts
contained in op Beavers–Joseph-Saffman Condition ni
contained in op Continuity of the Normal Mass Flux ni
contained in op Navier Stokes Equation ni
contained in op Reynolds Number ni
contained in op Stokes Darcy Equation (Discretized, pv) ni
contained in op Stokes Equation ni
specializes op Velocity ni
alt Label ap "Macroscopic Velocity (Free Flow)"@en
MaRDI ID ap Item: Q6673788 ep

Fluid Velocity (Porous Medium)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidVelocityPorousMedium

vector field used to describe the motion of a fluid in a mathematical manner in porous medium
belongs to
Quantity c
has facts
contained in op Continuity of the Normal Mass Flux ni
contained in op Darcy Equation ni
specializes op Velocity ni
alt Label ap "Macroscopic Velocity (Porous Medium)"@en
MaRDI ID ap Item: Q6673892 ep

Fluid Viscous Stressni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluidViscousStress

models stress in continuum mechanics due to strain rate
belongs to
Quantity c
has facts
contained in op Beavers–Joseph-Saffman Condition ni
contained in op Continuity of the Normal Stresses ni
specializes op Mechanical Stress ni
description ap "The viscous stress tensor models stress in continuum mechanics due to strain rate, representing material deformation at a point."@en
MaRDI ID ap Item: Q6673789 ep
Wikidata ID ap Q7935892 ep

Flux of Electronsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluxOfElectrons

flow of electrons, e.g., in an electric device
belongs to
Quantity c
has facts
similar to op Electric Current Density ni
similar to op Flux of Electrons ni
similar to op Flux of Holes ni
specializes op Particle Flux Density ni
description ap "For use in semiconductor physics"@en
MaRDI ID ap Item: Q6673946 ep

Flux of Holesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FluxOfHoles

flow of holes, e.g., in an electric device
belongs to
Quantity c
has facts
similar to op Electric Current Density ni
similar to op Flux of Electrons ni
similar to op Flux of Holes ni
specializes op Particle Flux Density ni
description ap "For use in semiconductor physics"@en
MaRDI ID ap Item: Q6673947 ep

Forceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Force

physical influence that tends to cause an object to change motion unless opposed by other forces
belongs to
Quantity Kind c
has facts
contained in op Hooke Law (Spring) ni
specialized by op Classical Force ni
specialized by op Interaction Force ni
specialized by op Maximum Isometric Muscle Force ni
MaRDI ID ap Item: Q6673704 ep
QUDT ID ap Force ep
Wikidata ID ap Q11402 ep

Force Constant (Anharmonic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ForceConstantAnharmonic

coefficients of the nth (n>=3) order term in a Taylor expansion of the potential energy wrt displacements from a minimum energy configuration
belongs to
Quantity c
has facts
contained in op Anharmonicity Constant (Perturbation Theory) ni
contained in op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
contained in op Quantum Hamiltonian (Normal Mode, Intermolecular) ni
contained in op Vibrational Frequency Shift (2nd Order) ni
specialized by op Spring Constant ni
description ap "Cubic, quartic, ... anharmonic force constants are the coefficients of the third, fourth, ... order term in a Taylor expansion of the potential energy wrt displacements from a minimum energy configuration."@en
MaRDI ID ap Item: Q6673744 ep
Wikidata ID ap Q545228 ep

Force Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ForceDensity

in fluid mechanics, negative gradient of pressure
belongs to
Quantity c
has facts
specialized by op External Force Density ni
specialized by op Surface Force Density ni
description ap "It has the physical dimensions of force per unit volume. Force density is a vector field representing the flux density of the hydrostatic force within the bulk of a fluid"@en
MaRDI ID ap Item: Q6673980 ep
Wikidata ID ap Q4117184 ep

Fourier Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FourierEquation

differential form of Fourier's law of thermal conduction
belongs to
Mathematical Formulation c
has facts
contained in op Heat Conduction Model ni
contains op Thermal Conductivity ni
contains op Heat Flux ni
contains op Temperature ni
specializes op Transport Equation ni
defining formulation dp "$q = - \gamma \nabla T$"^^La Te X ep
in defining formulation dp "$T$, Temperature"^^La Te X ep
in defining formulation dp "$\gamma$, Thermal Conductivity"^^La Te X ep
in defining formulation dp "$q$, Heat Flux"^^La Te X ep
description ap "Assuming that the local heat flux is equal to the product of thermal conductivity and the negative local temperature gradient"@en
alt Label ap "Fourier's law of heat conduction"@en
MaRDI ID ap Item: Q6674358 ep
Wikidata ID ap Q12016821 ep

Fraction of Population Density of Exposed Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FractionOfPopulationDensityOfExposedFormulation

equation describing the fraction of population density of exposed individuals
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Density Fraction Coefficient ni
contains op Fraction of Population Density of Exposed ni
contains op Isotropic Gaussian Function ni
defining formulation dp "$e(x, 0)=\sum_{\tilde{l}=1}^{\tilde{L}} w_e^{(\tilde{l})} G^{(\tilde{l})}(x)$"^^La Te X ep
in defining formulation dp "$G^{(\tilde{l})}(x)$, Isotropic Gaussian Function"^^La Te X ep
in defining formulation dp "$e(x, 0)$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$w_e^{(\tilde{l})} $, Density Fraction Coefficient"^^La Te X ep
MaRDI ID ap Item: Q6674453 ep

Fraction of Population Density of Infectious Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FractionOfPopulationDensityOfInfectiousFormulation

equation describing the fraction of population density of infectious individuals
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Density Fraction Coefficient ni
contains op Fraction of Population Density of Infectious ni
contains op Isotropic Gaussian Function ni
defining formulation dp "$i(x, 0)=\sum_{\tilde{l}=1}^{\tilde{L}} w_i^{(\tilde{l})} G^{(\tilde{l})}(x)$"^^La Te X ep
in defining formulation dp "$G^{(\tilde{l})}(x)$, Isotropic Gaussian Function"^^La Te X ep
in defining formulation dp "$i(x, 0)$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$w_i^{(\tilde{l})} $, Density Fraction Coefficient"^^La Te X ep
MaRDI ID ap Item: Q6674454 ep

Fraction of Population Density of Removedni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FractionOfPopulationDensityOfRemoved

fraction of population density of removed Individuals
belongs to
Quantity c
has facts
contained in op Homogeneous Neumann Boundary Conditions ni
contained in op Neumann Boundary Condition for SEIR Model ni
contained in op Rate of Change of Population Density Fraction of Removed PDE ni
contained in op SEIR Derivative Relation ni
specializes op Population Density ni
MaRDI ID ap Item: Q6673984 ep

Fraction of Population Density of Susceptibles Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FractionOfPopulationDensityOfSusceptiblesFormulation

equation describing the fraction of population density of susceptible individuals
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Density Fraction Coefficient ni
contains op Fraction of Population Density of Susceptibles ni
contains op Isotropic Gaussian Function ni
defining formulation dp "$$ s(x, 0)=\sum_{\tilde{l}=1}^{\tilde{L}} w_s^{(\tilde{l})} G^{(\tilde{l})}(x)$$"^^La Te X ep
in defining formulation dp "$G^{(\tilde{l})}(x)$, Isotropic Gaussian Function"^^La Te X ep
in defining formulation dp "$s(x, 0)$, Fraction of Population Density of Susceptibles"^^La Te X ep
in defining formulation dp "$w_s^{(\tilde{l})} $, Density Fraction Coefficient"^^La Te X ep
MaRDI ID ap Item: Q6674455 ep

Free Energy Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeEnergyDensity

measure of the increase in the Helmholtz free energy per unit volume due to distortions
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic Diffusion Equation ni
contained in op Poro-Visco-Elastic (Neumann Boundary) ni
contained in op Poro-Visco-Elastic Quasistatic Equation ni
MaRDI ID ap Item: Q6673841 ep
Wikidata ID ap Q865821 ep

Free Fall Determine Gravitationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallDetermineGravitation

given the time that it takes for an object to freely fall from a certain height to the ground, what is the magnitude of the gravitational acceleration
belongs to
Computational Task c
has facts
contains op Free Fall Impact Time ni
contains op Free Fall Initial Height ni
contains op Free Fall Initial Velocity ni
contains op Gravitational Acceleration (Earth Surface) ni
contains input op Free Fall Impact Time ni
contains input op Free Fall Initial Height ni
contains input op Free Fall Initial Velocity ni
contains output op Gravitational Acceleration (Earth Surface) ni
uses op Free Fall Model (Vacuum) ni
MaRDI ID ap Item: Q6684566 ep

Free Fall Equation (Air Drag)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallEquationAirDrag

modeling the fall of objects by the laws of classical mechanics, including aerodynamic drag and assuming a uniform gravitational field
belongs to
Mathematical Formulation c
has facts
assumes op Uniform Gravitational Acceleration ni
contained in op Free Fall Model (Air Drag) ni
contains op Cross Section ni
contains op Density of Air ni
contains op Drag Coefficient ni
contains op Free Fall Height ni
contains op Free Fall Initial Condition ni
contains op Free Fall Initial Height ni
contains op Free Fall Initial Velocity ni
contains op Free Fall Mass ni
contains op Free Fall Terminal Velocity ni
contains op Free Fall Velocity ni
contains op Gravitational Acceleration (Earth Surface) ni
contains op Time ni
contains initial condition op Free Fall Initial Condition ni
specialized by op Free Fall Equation (Vacuum) ni
specializes op Free Fall Equation (Non-Uniform Gravitation) ni
defining formulation dp "$\begin{align} m\dot{v} &=& mg-\frac{1}{2}\rho C_DAv^2\\ v(t) &=& v_{\infty}\tanh\left(\frac{gt}{v_{\infty}}\right) \\ y(t) &=& y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right) \end{align}$"^^La Te X ep
in defining formulation dp "$A$, Cross Section"^^La Te X ep
in defining formulation dp "$C_D$, Drag Coefficient"^^La Te X ep
in defining formulation dp "$\rho$, Density of Air"^^La Te X ep
in defining formulation dp "$g$, Gravitational Acceleration (Earth Surface)"^^La Te X ep
in defining formulation dp "$m$, Free Fall Mass"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$v$, Free Fall Velocity"^^La Te X ep
in defining formulation dp "$v_0$, Free Fall Initial Velocity"^^La Te X ep
in defining formulation dp "$v_{\infty}$, Free Fall Terminal Velocity"^^La Te X ep
in defining formulation dp "$y$, Free Fall Height"^^La Te X ep
in defining formulation dp "$y_0$, Free Fall Initial Height"^^La Te X ep
is linear dp "false"^^boolean
description ap "Moreover, assuming the falling object to be a point mass."@en
MaRDI ID ap Item: Q6674363 ep
Wikidata ID ap Q38083707 ep

Free Fall Equation (Non-Uniform Gravitation)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallEquationNonUniformGravitation

modeling the fall of objects by the laws of classical mechanics, neglecting aerodynamic drag but allowing for a non-uniform gravitational field
belongs to
Mathematical Formulation c
has facts
contained in op Free Fall Model (Non-Uniform Gravitation) ni
contains op Free Fall Height ni
contains op Free Fall Initial Height ni
contains op Free Fall Time ni
contains op Quantile Function of the Beta Distribution ni
contains op Time ni
specialized by op Free Fall Equation (Air Drag) ni
specialized by op Free Fall Equation (Vacuum) ni
defining formulation dp "$y(t)=y_0Q\left(1-\frac{t}{t_{\mathrm{ff}}};\frac{3}{2},\frac{1}{2}\right)$"^^La Te X ep
in defining formulation dp "$t$, Time"
in defining formulation dp "$Q$, Quantile Function of The Beta Distribution"^^La Te X ep
in defining formulation dp "$t_\mathrm{ff}$, Free Fall Time"^^La Te X ep
in defining formulation dp "$y$, Free Fall Height"^^La Te X ep
in defining formulation dp "$y_0$, Free Fall Initial Height"^^La Te X ep
description ap "Moreover, assuming the falling object to be a point mass."@en
MaRDI ID ap Item: Q6674364 ep

Free Fall Equation (Vacuum)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallEquationVacuum

modeling the fall of objects by the laws of classical mechanics, neglecting aerodynamic drag and assuming a uniform gravitational field
belongs to
Mathematical Formulation c
has facts
assumes op Vanishing Air Density ni
assumes op Vanishing Drag Coefficient ni
contained in op Free Fall Model (Vacuum) ni
contains op Free Fall Height ni
contains op Free Fall Initial Height ni
contains op Free Fall Initial Velocity ni
contains op Free Fall Velocity ni
contains op Gravitational Acceleration (Earth Surface) ni
contains op Time ni
specializes op Free Fall Equation (Air Drag) ni
specializes op Free Fall Equation (Non-Uniform Gravitation) ni
defining formulation dp "$\begin{align} \dot{v} &=& g \\ v(t) &=& v_0-gt \\ y(t) &=& y_0+v_0t-\frac{1}{2}gt^2 \end{align}$"^^La Te X ep
defining formulation dp "$y(t)=y_0+v_0t-\frac{1}{2}gt^2$"^^La Te X ep
in defining formulation dp "$g$, Gravitational Acceleration (Earth Surface)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$v$, Free Fall Velocity"^^La Te X ep
in defining formulation dp "$v_0$, Free Fall Initial Velocity"^^La Te X ep
in defining formulation dp "$y$, Free Fall Height"^^La Te X ep
in defining formulation dp "$y_0$, Free Fall Initial Height"^^La Te X ep
description ap "Moreover, assuming the falling object to be a point mass."@en
MaRDI ID ap Item: Q6674365 ep
Wikidata ID ap Q38083707 ep

Free Fall Heightni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallHeight

height of an object as it falls freely
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Equation (Non-Uniform Gravitation) ni
contained in op Free Fall Equation (Vacuum) ni
contained in op Free Fall Initial Condition ni
contained in op Free Fall Time ni
contained in op Uniform Gravitational Acceleration ni
specialized by op Free Fall Initial Height ni
specializes op Length ni
alt Label ap "Free Fall Altitude"@en
MaRDI ID ap Item: Q6673991 ep
Wikidata ID ap Q140028 ep

Free Fall Impact Timeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallImpactTime

time that it takes for an object to freely fall from a certain height to the ground
belongs to
Quantity c
has facts
contained as input in op Free Fall Determine Gravitation ni
contained as output in op Free Fall Determine Time ni
contained in op Free Fall Determine Gravitation ni
contained in op Free Fall Determine Time ni
specializes op Free Fall Time ni
specializes op Time ni
MaRDI ID ap Item: Q6673986 ep
Wikidata ID ap Q5499609 ep

Free Fall Impact Velocityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallImpactVelocity

velocity with which a freely falling object hits the ground
belongs to
Quantity c
has facts
contained as output in op Free Fall Determine Velocity ni
contained in op Free Fall Determine Velocity ni
specializes op Classical Velocity ni
specializes op Velocity ni
MaRDI ID ap Item: Q6673990 ep

Free Fall Initial Conditionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallInitialCondition

initial height and velocity of an object before it falls through a fluid or a gas
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Free Fall Equation (Air Drag) ni
contained as initial condition in op Free Fall Model (Non-Uniform Gravitation) ni
contained as initial condition in op Free Fall Model (Vacuum) ni
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Model (Non-Uniform Gravitation) ni
contained in op Free Fall Model (Vacuum) ni
contains op Free Fall Height ni
contains op Free Fall Initial Height ni
contains op Free Fall Initial Velocity ni
contains op Free Fall Velocity ni
contains op Time ni
defining formulation dp "\begin{align} y(t=0) &= y_0 \\ v(t=0) &= v_0 \end{align}"^^La Te X ep
in defining formulation dp "$t$, time"^^La Te X ep
in defining formulation dp "$v$, Free Fall Velocity"^^La Te X ep
in defining formulation dp "$v_0$, Free Fall Initial Velocity"^^La Te X ep
in defining formulation dp "$y$, Free Fall Height"^^La Te X ep
in defining formulation dp "$y_0$, Free Fall Initial Height"^^La Te X ep
MaRDI ID ap Item: Q6674368 ep

Free Fall Massni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallMass

mass of a (freely) falling object
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Time ni
specializes op Mass ni
MaRDI ID ap Item: Q6673992 ep

Free Fall Model (Air Drag)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallModelAirDrag

mathematical model for the fall of objects, including the aerodynamic drag and assuming a uniform gravitational field
belongs to
Mathematical Model c
has facts
assumes op Uniform Gravitational Acceleration ni
contains op Free Fall Equation (Air Drag) ni
models op Gravitational Effects on Fruit ni
specialized by op Free Fall Model (Vacuum) ni
specializes op Free Fall Model (Non-Uniform Gravitation) ni
used by op Free Fall Determine Time ni
used by op Free Fall Determine Velocity ni
MaRDI ID ap Item: Q6675406 ep
Wikidata ID ap Q38083707 ep

Free Fall Model (Non-Uniform Gravitation)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallModelNonUniformGravitation

mathematical model for the fall of objects, including the aerodynamic drag and allowing for a non-uniform gravitational field
belongs to
Mathematical Model c
has facts
contains op Free Fall Equation (Non-Uniform Gravitation) ni
contains op Free Fall Initial Condition ni
contains initial condition op Free Fall Initial Condition ni
models op Gravitational Effects on Fruit ni
specialized by op Free Fall Model (Air Drag) ni
specialized by op Free Fall Model (Vacuum) ni
MaRDI ID ap Item: Q6675407 ep
Wikidata ID ap Free fall ep

Free Fall Model (Vacuum)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallModelVacuum

mathematical model for the fall of objects, neglecting aerodynamic drag and assuming a uniform gravitational field
belongs to
Mathematical Model c
has facts
assumes op Vanishing Air Density ni
assumes op Vanishing Drag Coefficient ni
contains op Free Fall Equation (Vacuum) ni
contains op Free Fall Initial Condition ni
contains initial condition op Free Fall Initial Condition ni
models op Gravitational Effects on Fruit ni
specializes op Free Fall Model (Air Drag) ni
specializes op Free Fall Model (Non-Uniform Gravitation) ni
used by op Free Fall Determine Gravitation ni
used by op Free Fall Determine Time ni
used by op Free Fall Determine Velocity ni
description ap "A free fall is any motion of a body where gravity is the only force acting upon it. Hence, we are neglecting the aerodynamic drag (vanishing drag coefficient and/or density of air) and assuming a uniform gravitational field."@en
DOI ap 012 ep
DOI ap 1.3246467 ep
MaRDI ID ap Item: Q6675405 ep
Wikidata ID ap Q38083707 ep

Free Fall Terminal Velocityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallTerminalVelocity

highest velocity attainable by an object as it falls through a fluid or a gas
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Terminal Velocity ni
contains op Cross Section ni
contains op Density of Air ni
contains op Drag Coefficient ni
contains op Free Fall Terminal Velocity ni
contains op Gravitational Acceleration (Earth Surface) ni
contains op Mass ni
specializes op Classical Velocity ni
specializes op Free Fall Velocity ni
specializes op Velocity ni
defining formulation dp "$v_\infty \equiv \sqrt{\frac{2mg}{\rho C_D A}}$"^^La Te X ep
in defining formulation dp "$A$, Cross Section"^^La Te X ep
in defining formulation dp "$C_D$, Drag Coefficient"^^La Te X ep
in defining formulation dp "$\rho$, Density of Air"^^La Te X ep
in defining formulation dp "$g$, Gravitational Acceleration (Earth Surface)"^^La Te X ep
in defining formulation dp "$m$, Mass"^^La Te X ep
in defining formulation dp "$v_\infty$, Free Fall Terminal Velocity"^^La Te X ep
MaRDI ID ap Item: Q6673993 ep
Wikidata ID ap Q614981 ep

Free Fall Timeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallTime

characteristic time that would take a body to collapse under its own gravitational attraction, if no other forces existed to oppose the collapse
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Non-Uniform Gravitation) ni
contained in op Free Fall Time ni
contains op Earth Mass ni
contains op Free Fall Height ni
contains op Free Fall Initial Height ni
contains op Free Fall Mass ni
contains op Free Fall Time ni
contains op Gravitational Constant ni
specialized by op Free Fall Impact Time ni
specializes op Time ni
defining formulation dp "$t(y) \equiv \sqrt{ \frac{ {y_0}^3 }{2G(m+M)} } \left(\sqrt{\frac{y}{y_0}\left(1-\frac{y}{y_0}\right)} + \arccos{\sqrt{\frac{y}{y_0}}}\right)$"^^La Te X ep
in defining formulation dp "$G$, Gravitational Constant"^^La Te X ep
in defining formulation dp "$M$, Earth Mass"^^La Te X ep
in defining formulation dp "$m$, Free Fall Mass"^^La Te X ep
in defining formulation dp "$t$, Free Fall Time"^^La Te X ep
in defining formulation dp "$y$, Free Fall Height"^^La Te X ep
in defining formulation dp "$y_0$, Free Fall Initial Height"^^La Te X ep
MaRDI ID ap Item: Q6673995 ep
Wikidata ID ap Q5499609 ep

Free Fall Velocityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFallVelocity

velocity attained by an object as it falls freely
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Equation (Vacuum) ni
contained in op Free Fall Initial Condition ni
specialized by op Free Fall Initial Velocity ni
specialized by op Free Fall Terminal Velocity ni
specializes op Classical Velocity ni
specializes op Velocity ni
MaRDI ID ap Item: Q6673994 ep
Wikidata ID ap Q140028 ep

Free Flow Coupled to Porous Media Flowni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFlowCoupledToPorousMediaFlow

coupled systems of free flow of an incompressible fluid adjacent to a permeable media
belongs to
Research Problem c
has facts
contained in op Continuum Mechanics ni
modeled by op Stokes Darcy Model ni
MaRDI ID ap Item: Q6684650 ep

Free Flow of an Incompressible Fluidni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FreeFlowIncompressibleFluid

free flow of an incompressible fluid (e.g. gas or liquid)
belongs to
Research Problem c
has facts
contained in op Continuum Mechanics ni
modeled by op Stokes Model ni
MaRDI ID ap Item: Q6684651 ep

Frequencyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Frequency

number of occurrences or cycles per time
belongs to
Quantity Kind c
has facts
contained in op Line Concept ni
contained in op Line Concept Costs ni
specialized by op Muscle Spindle Firing Rate ni
specialized by op Neural Firing Rate ni
specialized by op Vibration Frequency (Harmonic) ni
MaRDI ID ap Item: Q6673720 ep
QUDT ID ap Frequency ep
Wikidata ID ap Q11652 ep

Friction Coefficientni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FrictionCoefficient

measure that quantifies the amount of friction existing between two surfaces
belongs to
Quantity c
has facts
contained in op Classical Langevin Equation ni
contained in op Coulomb Friction Condition Between Two Particles ni
description ap "coefficient of friction, aka damping constant. Units of inverse time"@en
alt Label ap "Damping Constant"@en
MaRDI ID ap Item: Q6673872 ep
Wikidata ID ap Q82580 ep

Gamma-Gompertz-Makeham Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GammaGompertzMakehamModel

mathematical model for the mortality based on a Gamma-Gompertz-Makeham law
belongs to
Mathematical Model c
has facts
contains op Gamma-Gompertz–Makeham Law ni
contains op Poisson-Distributed Deaths ni
contains op Poisson log-Likelihood ni
models op Mortality Modeling ni
used by op Maximizing Poisson log-Likelihood ni
description ap "We assume that death counts at age x are Poisson-distributed and the underlying population level hazard function follows a Gamma-Gompertz-Makeham model."@en
MaRDI ID ap Item: Q6675410 ep
Wikidata ID ap Q2734378 ep

Gamma-Gompertz–Makeham Lawni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GammaGompertzMakehamLaw

mathematical formulation for the mortality based on a Gamma-Gompertz-Makeham law
belongs to
Mathematical Formulation c
has facts
contained in op Gamma-Gompertz-Makeham Model ni
contains op Age of an Individual ni
contains op Extrinsic Mortality ni
contains op Heterogeneity of Death Rate ni
contains op Level of Mortality ni
contains op Rate of Aging ni
contains op Risk of Death ni
specializes op Gompertz Law ni
specializes op Gompertz–Makeham Law ni
defining formulation dp "$\mu(x) = \frac{a\exp(bx)}{1+\frac{a\gamma}{b}(\exp(bx)-1)}+c$"^^La Te X ep
in defining formulation dp "$\gamma$, Heterogeneity of Death Rate"^^La Te X ep
in defining formulation dp "$\mu$, Risk of Death"^^La Te X ep
in defining formulation dp "$a$, Level of Mortality"^^La Te X ep
in defining formulation dp "$b$, Rate of Aging"^^La Te X ep
in defining formulation dp "$c$, Extrinsic Mortality"^^La Te X ep
in defining formulation dp "$x$, Age of an Individual"^^La Te X ep
DOI ap journal.pone.0198485 ep
MaRDI ID ap Item: Q6674370 ep

Gauss Law (Electric Field)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GaussLawElectricField

foundational law of electromagnetism stating that electric charges are the "sources" (divergence) of electric fields
belongs to
Mathematical Formulation c
has facts
contained in op Maxwell Equations Model ni
contains op Electric Charge Density ni
contains op Electric Field ni
contains op Permittivity (Vacuum) ni
specialized by op Laplace Equation for the Electric Potential ni
specialized by op Poisson Equation for the Electric Potential ni
defining formulation dp "$\nabla\cdot E=\frac{\rho}{\epsilon_0}$"^^La Te X ep
in defining formulation dp "$E$, Electric Field"^^La Te X ep
in defining formulation dp "$\epsilon_0$, Permittivity (Vacuum)"^^La Te X ep
in defining formulation dp "$\rho$, Electric Charge Density"^^La Te X ep
MaRDI ID ap Item: Q6674372 ep
Wikidata ID ap Q173356 ep

Gauss Law (Magnetic Field)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GaussLawMagneticField

foundational law of electromagnetism stating that the magnetic field B has divergence equal to zero
belongs to
Mathematical Formulation c
has facts
contained in op Maxwell Equations Model ni
contains op Magnetic Field ni
defining formulation dp "$\nabla\cdot B=0$"^^La Te X ep
in defining formulation dp "$B$, Magnetic Field"^^La Te X ep
description ap "Equivalently, magnetic monopoles do not exist"@en
MaRDI ID ap Item: Q6674373 ep
Wikidata ID ap Q1195250 ep

Gaussian Distributionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GaussianDistribution

continuous probability distribution that is symmetric and bell-shaped
belongs to
Quantity c
has facts
contained in op Gaussian Distribution ni
contained in op Gaussian Noise Model ni
contains op Euler Number ni
contains op Expectation Value ni
contains op Gaussian Distribution ni
contains op Pi Number ni
contains op Variance ni
specializes op Probability Distribution ni
defining formulation dp "$\varphi(z) \equiv \frac 1 {\sigma\sqrt{2\pi}} e^{ -(z-\mu)^2/(2\sigma^2) }$"^^La Te X ep
in defining formulation dp "$\mu$, Expectation Value"^^La Te X ep
in defining formulation dp "$\pi$, Pi Number"^^La Te X ep
in defining formulation dp "$\sigma$, Variance"^^La Te X ep
in defining formulation dp "$\varphi$, Gaussian Distribution"^^La Te X ep
in defining formulation dp "$e$, Euler Number"^^La Te X ep
alt Label ap "Normal Distribution"@en
MaRDI ID ap Item: Q6674002 ep
Wikidata ID ap Q2725903 ep

Gaussian Noise Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GaussianNoiseModel

signal noise that has a probability density function equal to that of the normal distribution
belongs to
Mathematical Model c
has facts
contains op Gaussian Distribution ni
models op Image Denoising ni
used by op Denoising for Improved Parametric MRI of the Kidney ni
description ap "A typical model of image noise is Gaussian, additive, independent at each pixel, and independent of the signal intensity, caused primarily by Johnson–Nyquist noise (thermal noise), including that which comes from the reset noise of capacitors ("kTC noise")."@en
alt Label ap "Electronic Noise Model"@en
MaRDI ID ap Item: Q6675393 ep
Wikidata ID ap Q2725903 ep

Gompertz Lawni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GompertzLaw

in probability and statistics, the Gompertz distribution is a continuous probability distribution
belongs to
Mathematical Formulation c
has facts
specialized by op Gamma-Gompertz–Makeham Law ni
specialized by op Gompertz–Makeham Law ni
description ap "Often applied to describe the distribution of adult lifespans by demographers."@en
MaRDI ID ap Item: Q6674374 ep
Wikidata ID ap Q1011784 ep

Gompertz–Makeham Lawni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GompertzMakehamLaw

mathematical equation describing the human death rate as a sum of an age-dependent component, and an age-independent component
belongs to
Mathematical Formulation c
has facts
specialized by op Gamma-Gompertz–Makeham Law ni
specializes op Gompertz Law ni
description ap "Note that the age-dependent component increases exponentially with age"@en
MaRDI ID ap Item: Q6674371 ep
Wikidata ID ap Q2734378 ep

Gramian Generalized Controllabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GramianGeneralizedControllability

generalized Gramian of controllability, for use in bi-linear control problems
belongs to
Quantity c
has facts
contained in op Gramian Generalized Controllability ni
contained in op Lyapunov Generalized Controllability ni
contains op Control System Matrix A ni
contains op Control System Matrix B ni
contains op Control System Matrix N ni
contains op Gramian Generalized Controllability ni
contains op Time ni
specializes op Gramian Matrix ni
specializes op Gramian Matrix Observability ni
defining formulation dp "$\begin{align} W_c &\equiv& \sum_{j=1}^{\infty} \int_0^\infty\ldots\int_0^\infty P_{j}(t_{1},\ldots t_{j}) P^{*}_{j}(t_{1}, \ldots t_{j}) \mathrm{d} t_{1} \ldots \mathrm{d} t_{j} \\ P_{1}(t_{1}) &\equiv& e^{A t_{1}}iB \\ P_{j}(t_{1},\ldots,t_{j}) &\equiv& e^{At_{j}}iN P_{j-1} \end{align}$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$W_c$, Gramian Generalized Controllability"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674004 ep

Gramian Generalized Observabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GramianGeneralizedObservability

generalized Gramian of observability, for use in bi-linear control problems
belongs to
Quantity c
has facts
contained in op Gramian Generalized Observability ni
contained in op Lyapunov Generalized Observability ni
contains op Control System Matrix A ni
contains op Control System Matrix C ni
contains op Control System Matrix N ni
contains op Gramian Generalized Observability ni
contains op Time ni
specializes op Gramian Matrix ni
specializes op Gramian Matrix Observability ni
defining formulation dp "$\begin{align} W_c &\equiv& \sum_{j=1}^{\infty} \int_0^\infty\ldots\int_0^\infty Q^{*}_{j}(t_{1},\ldots t_{j})Q_{j}(t_{1},\ldots t_{j})\mathrm{d} t_{1}\ldots\mathrm{d} t_{j} \\ Q_{1}(t_{1}) &\equiv& C e^{A^{*} t_{1}} \\ Q_{j}(t_{1},\ldots,t_{j}) X&\equiv& Q_{j-1}iN e^{A^{*}t_{j}} \end{align}$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$C$, Control System Matrix C"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$W_o$, Gramian Generalized Observability"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674005 ep

Gramian Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GramianMatrix

matrix of inner products of a set of vectors
belongs to
Quantity c
has facts
specialized by op Gramian Generalized Controllability ni
specialized by op Gramian Generalized Observability ni
specialized by op Gramian Matrix Controllability ni
specialized by op Gramian Matrix Observability ni
MaRDI ID ap Item: Q6674006 ep
Wikidata ID ap Q1409400 ep

Gramian Matrix Controllabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GramianMatrixControllability

matrix used in linear control problems to determine whether a system is controllable
belongs to
Quantity c
has facts
contained in op Balancing Transformation ni
contained in op Gramian Matrix Controllability ni
contained in op Lyapunov Equation Controllability ni
contains op Control System Matrix A ni
contains op Control System Matrix B ni
contains op Gramian Matrix Controllability ni
specializes op Gramian Matrix ni
defining formulation dp "$W_c \equiv \int_0^\infty e^{At}iB(-i)B^* e^{A^*t}\mathrm{d} t$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$W_c$, Gramian Matrix Controllability"^^La Te X ep
MaRDI ID ap Item: Q6673780 ep

Gramian Matrix Observabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GramianMatrixObservability

matrix used in linear control problems to determine whether a system is observable
belongs to
Quantity c
has facts
contained in op Balancing Transformation ni
contained in op Gramian Matrix Observability ni
contained in op Lyapunov Equation Observability ni
contains op Control System Matrix A ni
contains op Control System Matrix C ni
contains op Gramian Matrix Observability ni
specialized by op Gramian Generalized Controllability ni
specialized by op Gramian Generalized Observability ni
specializes op Gramian Matrix ni
defining formulation dp "$W_o \equiv \int_0^\infty e^{A^*t}C^*C e^{At}\mathrm{d} t$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$C$, Control System Matrix C"^^La Te X ep
in defining formulation dp "$W_o$, Gramian Matrix Observability"^^La Te X ep
MaRDI ID ap Item: Q6673781 ep

Graph Type Identifierni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GraphTypeIdentifier

variable identifying a graph as directed (value=1) or undirected (value=2)
belongs to
Quantity c
has facts
contained in op Line Costs Computation ni
contains op Decision Variable ni
defining formulation dp "$x \equiv \left\{ \begin{array}{ll} 1 & \textrm{graph directed}\\ 2 & \textrm{graph undirected} \\ \end{array} \right. $"^^La Te X ep
in defining formulation dp "$x$, Decision Variable"^^La Te X ep
MaRDI ID ap Item: Q6674021 ep

Gravitational Acceleration (Earth Surface)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GravitationalAccelerationEarthSurface

acceleration of an object in free fall within a vacuum, thus without experiencing air drag
belongs to
Quantity c
has facts
contained as constant in op Free Fall Determine Time ni
contained as constant in op Free Fall Determine Velocity ni
contained as output in op Free Fall Determine Gravitation ni
contained in op Free Fall Determine Gravitation ni
contained in op Free Fall Determine Time ni
contained in op Free Fall Determine Velocity ni
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Equation (Vacuum) ni
contained in op Free Fall Terminal Velocity ni
contained in op Gravitational Acceleration (Earth Surface) ni
contains op Earth Mass ni
contains op Earth Radius ni
contains op Gravitational Acceleration (Earth Surface) ni
contains op Gravitational Constant ni
specializes op Acceleration ni
defining formulation dp "$\vec{g} \equiv -\frac{GM}{r^2}\vec{r}$"^^La Te X ep
in defining formulation dp "$G$, Gravitational Constant"^^La Te X ep
in defining formulation dp "$M$, Earth Mass"^^La Te X ep
in defining formulation dp "$g$, Gravitational Acceleration (Earth Surface)"^^La Te X ep
in defining formulation dp "$r$, Earth Radius"^^La Te X ep
description ap "At a fixed point on the surface of Earth, the gravity results from the combined effect of gravitation and the centrifugal force from Earth's rotation. At different points on Earth's surface, the free fall acceleration ranges from 9.764 to 9.834 m/s2."@en
MaRDI ID ap Item: Q6673989 ep
QUDT ID ap Acceleration Of Gravity ep
Wikidata ID ap Q30006 ep

Gravitational Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GravitationalConstant

physical constant relating the gravitational force between objects to their mass and distance
belongs to
Quantity c
has facts
contained in op Free Fall Time ni
contained in op Gravitational Acceleration (Earth Surface) ni
contained in op Solar System Equations of Motion ni
is physical constant dp "true"^^boolean
MaRDI ID ap Item: Q6673997 ep
QUDT ID ap Gravitational Constant ep
Wikidata ID ap Q18373 ep

Gravitational Effects on Fruitni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GravitationalEffectsOnFruit

studying how fruits are falling from trees, which inspired Newton of gravitation
belongs to
Research Problem c
has facts
contained in op Classical Mechanics ni
contained in op Pomology ni
modeled by op Free Fall Model (Air Drag) ni
modeled by op Free Fall Model (Non-Uniform Gravitation) ni
modeled by op Free Fall Model (Vacuum) ni
MaRDI ID ap Item: Q6684656 ep

Gröbner Basisni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#GroebnerBasis

particular generating subset of an ideal in a polynomial ring
belongs to
Quantity c
has facts
contained as output in op Extract Logical Rules ni
contained in op Extract Logical Rules ni
contained in op Logical Rule Extraction Formulation ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673970 ep
Wikidata ID ap Q1551631 ep

H2 Optimal Approximationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#H2OptimalApproximation

model order reduction by interpolation of the Volterra series representation of the system's transfer function
belongs to
Computational Task c
has facts
contains op Sylvester Equation ni
specialized by op H2 Optimal Approximation (Bi-linear) ni
specialized by op H2 Optimal Approximation (Linear) ni
specializes op Model Order Reduction ni
uses op Control System Model ni
description ap "This approach is based on the interpolation of the Volterra series representation of the system's transfer function and gives a local H2-optimal approximation, because the interpolation is chosen so that the system satisfies the necessary H2-optimality conditions upon convergence of the algorithm. Note that H2 stands for Hardy space"@en
DOI ap j.cpc.2018.02.022 ep
DOI ap 110836742 ep
DOI ap jcd.2020001 ep
MaRDI ID ap Item: Q6684569 ep

Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barleyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Hanes_1932_Studies_on_plant_amylases_The_effect_of_starch_concentration_upon_the_velocity_of_hydrolysis_by_the_amylase_of_germinated_barley

publication
belongs to
Publication c
has facts
describes op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
describes op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
describes op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
describes invention of op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
describes invention of op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
describes invention of op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
DOI ap bj0261406 ep

Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationforUniUniReactionwithoutProductSteadyStateAssumption

equation for uni uni reaction without product following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
defining formulation dp "$\frac{c_S}{v_0} = \frac{1}{V_{max,f}} c_S + \frac{K_S}{V_{max,f}}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674386 ep

Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationforUniUniReactionwithoutProductIrreversibilityAssumption

equation for uni uni reaction without product following irreversibility assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
defining formulation dp "$\frac{c_S}{v_0} = \frac{1}{V_{max,f}} c_S + \frac{K_S}{V_{max,f}}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674384 ep

Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationforUniUniReactionwithoutProductRapidEquilibriumAssumption

equation for uni uni reaction without product following rapid equilibrium assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
defining formulation dp "$\frac{c_S}{v_0} = \frac{1}{V_{max,f}} c_S + \frac{K_S}{V_{max,f}}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674385 ep

Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{c_S}{v_0} = \frac{c_S}{V_{max,f}} + \frac{K_S (1 + \frac{c_I}{K_{ic}})}{V_{max,f}}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$,Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$,Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674380 ep

Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and mixed complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$$\frac{c_S}{v_0} = \frac{c_S (1 + \frac{c_I}{K_{iu}})}{V_{max,f}} + \frac{K_m (1 + \frac{c_I}{K_{ic}})}{V_{max,f}}$$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674381 ep

Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
similar to op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{c_S}{v_0} = \frac{c_S (1 + \frac{c_I}{K_{iu}})}{V_{max,f}} + \frac{K_m (1 + \frac{c_I}{K_{ic}})}{V_{max,f}}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674382 ep

Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HanesWoolfEquationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{c_S}{v_0} = \frac{c_S (1 + \frac{c_I}{K_{iu}})}{V_{max,f}} + \frac{K_S}{V_{max,f}}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$,Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$,Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674383 ep

Hankel Singular Valueni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HankelSingularValue

In control theory, a measure of energy for each state in a system
belongs to
Quantity c
has facts
contained in op Balancing Transformation ni
description ap "In control theory, Hankel singular values, named after Hermann Hankel, are the basis for balanced model reduction, in which controllable and observable states are retained while the remaining states are discarded. The reduced model retains the important features of the original model."@en
MaRDI ID ap Item: Q6673782 ep
Wikidata ID ap Q5648530 ep

Heat Conduction Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HeatConductionModel

mathematical model for thermal conduction based on Fourier's law
belongs to
Mathematical Model c
has facts
contains op Fourier Equation ni
models op Heat Transport ni
specializes op Transport Model ni
MaRDI ID ap Item: Q6675414 ep

Heat Fluxni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HeatFlux

heat transferred per area and time
belongs to
Quantity c
has facts
contained in op Fourier Equation ni
alt Label ap "Heat Flux Density"@en
MaRDI ID ap Item: Q6674009 ep
Wikidata ID ap Q1478382 ep

Heat Transportni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HeatTransport

transfer of heat can be classified into various mechanisms, such as thermal conduction, thermal convection, thermal radiation
belongs to
Research Problem c
has facts
contained in op Continuum Mechanics ni
modeled by op Heat Conduction Model ni
specializes op Transport of Matter ni
MaRDI ID ap Item: Q6684657 ep

Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategiesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Helfmann_2023_Modelling_opinion_dynamics_under_the_impact_of_influencer_and_media_strategies

publication
belongs to
Publication c
has facts
describes op Opinion Model with Influencers and Media ni
describes op Partial Mean Field Opinion Model ni
describes documentation of op Opinion Model with Influencers and Media ni
describes documentation of op Partial Mean Field Opinion Model ni
DOI ap s41598 023 46187 9 ep

Heterogeneity of Death Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HeterogeneityOfDeathRate

shows the different level of susceptibility to dying
belongs to
Quantity c
has facts
contained as output in op Maximizing Poisson log-Likelihood ni
contained in op Gamma-Gompertz–Makeham Law ni
contained in op Maximizing Poisson log-Likelihood ni
MaRDI ID ap Item: Q6673998 ep

Hill-Type Two-Muscle-One-Tendon Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HillTypeTwoMuscleOneTendonModel

mathematical model derived from the balancing forces at the muscle ends
belongs to
Mathematical Model c
has facts
contains op Hill-Type Two-Muscle-One-Tendon ODE System ni
described as studied by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
described by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
models op Muscle Movement ni
is deterministic dp "true"^^boolean
is dynamic dp "true"^^boolean
is linear dp "true"^^boolean
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "mathematical model to predict lumped passive and active muscle forces during movement on a macroscopic scale"@en
MaRDI ID ap Item: Q6675415 ep
Wikidata ID ap Q10331394 ep

Hill-Type Two-Muscle-One-Tendon ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Hill-Type_Two-Muscle-One-Tendon_ODE_System

system of ordinary differential equations describing passive and active muscle forces
belongs to
Mathematical Formulation c
has facts
contained in op Hill-Type Two-Muscle-One-Tendon Model ni
contains op Active Contractile Force ni
contains op Displacement Muscle Tendon ni
contains op Effective Mass (Spring-Mass System) ni
contains op Passive Muscle Force ni
contains op Passive Tendon Force ni
contains op Time ni
defining formulation dp "$ \begin{align} m_{1} \ddot{x}_{1} &= F_\text{PTE}(t) -F_{\text{ACE}1}(t) - F_{\text{PME}1}(t) \\ m_{2} \ddot{x}_{2} &= -F_\text{PTE}(t) + F_{\text{ACE}2}(t) - F_{\text{PME}2}(t) \end{align}$"^^La Te X ep
in defining formulation dp "$F_{\text{ACE}}$, Active contractile force"^^La Te X ep
in defining formulation dp "$F_{\text{PME}}$, Passive Muscle Force"^^La Te X ep
in defining formulation dp "$F_{\text{PTE}}$, Passive Tendon Force"^^La Te X ep
in defining formulation dp "$m$, Effective Mass (Spring-Mass System)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Displacement Muscle Tendon"^^La Te X ep
description ap "System of Ordinary Differential Equations describing passive and active muscle forces during movement on a macroscopic scale, derived by balancing the forces on the muscle ends."@en
DOI ap gamm.202370009 ep
MaRDI ID ap Item: Q6674387 ep
Wikidata ID ap Q10331394 ep

Homogeneous Neumann Boundary Conditionsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HomogeneousNeumannBoundaryConditions

homogeneous Neumann boundary conditions
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Diffusion Coefficient ni
contains op Fraction of Population Density of Exposed ni
contains op Fraction of Population Density of Infectious ni
contains op Fraction of Population Density of Removed ni
contains op Fraction of Population Density of Susceptibles ni
contains op Unit Normal Vector ni
defining formulation dp "$\nu^T D \nabla s =\nu^T D \nabla e=\nu^T D \nabla i=\nu^T D \nabla r=0$"^^La Te X ep
in defining formulation dp "$D$, Diffusion Coefficient"^^La Te X ep
in defining formulation dp "$\nu$, Unit Normal Vector"^^La Te X ep
in defining formulation dp "$e$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$i$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$r$, Fraction of Population Density of Removed"^^La Te X ep
in defining formulation dp "$s$, Fraction of Population Density of Susceptibles"^^La Te X ep
MaRDI ID ap Item: Q6674388 ep

Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle modelsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Homs-Pons_2024_Coupled_simulations_and_parameter_inversion_for_neural_system_and_electrophysiological_muscle_models

publication
belongs to
Publication c
has facts
describes op Action Potential Propagation Model ni
describes op Electrophysiological Muscle Model ni
describes op Hill-Type Two-Muscle-One-Tendon Model ni
describes op Motor Neuron Pool Model ni
describes op Sensory Organ Model ni
describes op Subcellular Model ni
describes study of op Action Potential Propagation Model ni
describes study of op Electrophysiological Muscle Model ni
describes study of op Hill-Type Two-Muscle-One-Tendon Model ni
describes study of op Motor Neuron Pool Model ni
describes study of op Sensory Organ Model ni
describes study of op Subcellular Model ni
DOI ap gamm.202370009 ep

Hooke Law (Linear Elasticity)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HookeLawLinearElasticity

force to extend or compress a spring by distance scales linearly with distance
belongs to
Mathematical Formulation c
has facts
contained in op Dynamical Electron Scattering Model ni
contains op Displacement of Atoms ni
contains op Elastic Stiffness Tensor ni
contains op Mechanical Strain ni
contains op Mechanical Stress ni
specialized by op Hooke Law (Spring) ni
specializes op Transport Equation ni
defining formulation dp "$\sigma=C:\epsilon$ where $\epsilon(u)=\frac{1}{2}(\nabla u+(\nabla u)^T)$"^^La Te X ep
in defining formulation dp "$C$, Elastic Stiffness Tensor"^^La Te X ep
in defining formulation dp "$\epsilon$, Mechanical Strain"^^La Te X ep
in defining formulation dp "$\sigma$, Mechanical Stress"^^La Te X ep
in defining formulation dp "$u$, Displacement of Atoms"^^La Te X ep
description ap "An empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, $F = kx$. Also the stresses and strains of material inside a continuous elastic material are connected by a linear relationship that is mathematically similar to Hooke's spring law, and is often referred to by that name."@en
MaRDI ID ap Item: Q6674324 ep
Wikidata ID ap Q170282 ep

Hooke Law (Spring)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HookLawSpring

force to extend or compress a spring by distance scales linearly with distance
belongs to
Mathematical Formulation c
has facts
contains op Change In Length ni
contains op Force ni
contains op Spring Constant ni
specializes op Hooke Law (Linear Elasticity) ni
specializes op Transport Equation ni
defining formulation dp "$F = k \Delta l$"^^La Te X ep
in defining formulation dp "$F$, Force"^^La Te X ep
in defining formulation dp "$\Delta l$, Change In Length"^^La Te X ep
in defining formulation dp "$k$, Spring Constant"^^La Te X ep
description ap "An empirical law which states that the force (F) needed to extend or compress a spring by some distance (x) scales linearly with respect to that distance—that is, $F = kx$, where k is a constant factor characteristic of the spring (i.e., its stiffness), and x is small compared to the total possible deformation of the spring. The law is named after 17th-century British physicist Robert Hooke."@en
MaRDI ID ap Item: Q6674389 ep
Wikidata ID ap Q170282 ep

Hydraulic Conductivityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HydraulicConductivity

measure of the ability of a porous material to allow water to pass through it
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic Diffusion Boundary Condition ni
contained in op Poro-Visco-Elastic Diffusion Equation ni
MaRDI ID ap Item: Q6673842 ep
Wikidata ID ap Q2783041 ep

Hyperstress Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HyperstressPotential

Hyperstress potential in calculations of elasticity
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic Quasistatic Equation ni
MaRDI ID ap Item: Q6673843 ep

Idealni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Ideal

additive subgroup of a ring closed under multiplication by an arbitrary ring element
belongs to
Quantity c
has facts
contained in op Logical Rule Extraction Formulation ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674012 ep
Wikidata ID ap Q44649 ep

Identify Destruction Rules in Ancient Egyptian Objectsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IdentifyDestructionRulesInAncientEgyptianObjects

identification of rules or patterns of destruction
belongs to
Research Problem c
has facts
contained in op Egyptology ni
modeled by op Object Comparison Model ni
description ap "common destruction patterns in ancient egyptian objects from the 'Cachette de Karnak' suggest that specific rules govern these occurences"@en
MaRDI ID ap Item: Q6684658 ep

Identity Functionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IdentityFunction

function that always returns the same value that was used as its argument
belongs to
Quantity c
has facts
contained in op Stokes Equation ni
alt Label ap "Identity Map"@en
alt Label ap "Identity Operator"@en
MaRDI ID ap Item: Q6674013 ep
Wikidata ID ap Q321119 ep

Image Denoisingni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ImageDenoising

removal of noise from images
belongs to
Research Problem c
has facts
contained in op Medical Imaging ni
contained in op Statistics ni
modeled by op Gaussian Noise Model ni
MaRDI ID ap Item: Q6684659 ep
Wikidata ID ap Q108033749 ep

Imaging of Nanostructuresni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ImagingOfNanostructures

mathematical model for transmission electron microscopy of nanostructures
belongs to
Research Problem c
has facts
contained in op Transmission Electron Microscopy ni
modeled by op Dynamical Electron Scattering Model ni
description ap "We present a mathematical model and a tool chain for the numerical simulation of transmission electron microscopy (TEM) images of semiconductor quantum dots (QDs). This includes elasticity theory to obtain the strain profile coupled with the Darwin–Howie–Whelan equations, describing the propagation of the electron wave through the sample. This tool chain can be applied to generate a database of simulated transmission electron microscopy (TEM) images, which is a key element of a novel concept for model-based geometry reconstruction of semiconductor QDs, involving machine learning techniques."@en
DOI ap s11082 020 02356 y ep
MaRDI ID ap Item: Q6684660 ep
Wikidata ID ap Q110779037 ep

Individual Relationship Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IndividualRelationshipMatrix

relations among individuals such as friendship or connections on social media are defined through a binary adjacency matrix
belongs to
Quantity c
has facts
contained in op Interaction Weight Between Individuals ni
specializes op Adjacency Matrix ni
MaRDI ID ap Item: Q6674015 ep

Inertia Parameter for Opinion Changes of Influencersni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfluencerInertiaParameter

parameter indicating resistance to rapid optinion change of influencers
belongs to
Quantity c
has facts
contained in op Change in Opinions of Influencers ni
contained in op Change in Opinions of Influencers in the Partial Mean Field Model ni
specializes op Real Number (Dimensionless) ni
MaRDI ID ap Item: Q6673856 ep

Inertia Parameter for Opinion Changes of Mediani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MediaInertiaParameter

parameter indicating resistance to rapid optinion change of media agents
belongs to
Quantity c
has facts
contained in op Change in Opinions of Media ni
contained in op Change in Opinions of Media in the Partial Mean Field Model ni
specializes op Real Number (Dimensionless) ni
MaRDI ID ap Item: Q6673857 ep

Infected Recovery Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectedRecoveryRate

constant representing the infected recovery rate
belongs to
Quantity c
has facts
contained in op Rate of Change of Population Density Fraction of Infectious PDE ni
contained in op Rate of Change of Population Density Fraction of Removed PDE ni
specializes op Rate ni
MaRDI ID ap Item: Q6674016 ep

Infectiousni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Infectious

general quantity for the number of infectious entities
belongs to
Quantity c
has facts
specialized by op Number of Infectious Individuals ni
specialized by op Number of Infected Cities ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674017 ep

Infectious at Time Step n+1 in the Multi-Population SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectiousAtTimeStepInTheMultiPopulationSIModel

equation to define the number of infectious individuals in the multi-population SI Model
belongs to
Mathematical Formulation c
has facts
contained in op Multi-Population Discrete Susceptible Infectious Model ni
contains op Contact Rate Between Two Groups ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$I_{n+1}^i = I_n^i + S_n^i \sum_{k=1}^K\frac{\alpha_{ik} \Delta t}{N^i} I_n^k$"^^La Te X ep
in defining formulation dp "$I_n^i$, Infectious Individuals"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n^i$, Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate Between Two Groups"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674390 ep

Infectious at Time Step n+1 in the Multi-Population SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectiousAtTimeStepInTheMultiPopulationSIRModel

equation to define the number of infectious individuals in the multi-population SIR Model
belongs to
Mathematical Formulation c
has facts
contained in op Multi-Population Discrete Susceptible Infectious Removed Model ni
contains op Contact Rate Between Two Groups ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$I_{n+1}^i = I_n^i \left(1 - \gamma_i \Delta t \right) +S_n^i \sum_{k=1}^K\frac{\alpha_{ik} \Delta t}{N^i} I_n^k$"^^La Te X ep
in defining formulation dp "$I_n^i$, Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n^i$, Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate Between Two Groups"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674391 ep

Infectious at Time Step n+1 in the Multi-Population SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectiousAtTimeStepInTheMultiPopulationSISModel

equation to define the number of infectious individuals in the multi-population SIS Model
belongs to
Mathematical Formulation c
has facts
contained in op Multi-Population Discrete Susceptible Infectious Susceptible Model ni
contains op Contact Rate Between Two Groups ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$S_{n+1}^i = S_n^i \left(1- \sum_{k=1}^K \frac{\alpha_{ik} \Delta t}{N^i} I_n^k\right) + \gamma_i \Delta t I_n^i$"^^La Te X ep
in defining formulation dp "$I_n^i$, Infectious Individuals"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n^i$, Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate Between Two Groups"^^La Te X ep
in defining formulation dp "$\gamma_i$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674392 ep

Infectious at Time Step n+1 in the SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectiousAtTimeStepInTheSIModel

equation to define the number of infectious individuals in the SI Model
belongs to
Mathematical Formulation c
has facts
contained in op Discrete Susceptible Infectious Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
discretizes op Continuous Rate of Change of Susceptibles in the SI Model ni
defining formulation dp "$I_{n+1}=I_n\left(1+\frac{\alpha \Delta t}{N} S_n\right)$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674296 ep

Infectious at Time Step n+1 in the SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectiousAtTimeStepInTheSIRModel

equation to define the number of infectious individuals in the SIR Model
belongs to
Mathematical Formulation c
has facts
contained in op Discrete Susceptible Infectious Removed Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
discretizes op Continuous Rate of Change of Infectious in the SIR Model ni
defining formulation dp "$I_{n+1}=I_n\left(1 - \gamma \Delta t +\frac{\alpha \Delta t}{N} S_n\right)$"^^La Te X ep
in defining formulation dp "$I_n$, Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674393 ep

Infectious at Time Step n+1 in the SIR Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectiousAtTimeStepInTheSIRModelWithBirthsAndDeaths

equation to define the number of infectious individuals in the SIR Model with births and deaths
belongs to
Mathematical Formulation c
has facts
contained in op Susceptible Infectious Removed Model with Births and Deaths ni
contains op Birth Rate ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$I_{n+1}=I_n\left(1 - \gamma \Delta t - \beta \Delta t +\frac{\alpha \Delta t}{N} S_n\right)$"^^La Te X ep
in defining formulation dp "$I_n$, Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674394 ep

Infectious at Time Step n+1 in the SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#infectiousAtTimeStepInTheSISModel

equation to define the number of infectious individuals in the SIS Model
belongs to
Mathematical Formulation c
has facts
contained in op Discrete Susceptible Infectious Susceptible Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$I_{n+1}=I_n\left(1 - \gamma \Delta t +\frac{\alpha \Delta t}{N} S_n\right)$"^^La Te X ep
in defining formulation dp "$I_n$, Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674595 ep

Infectious at Time Step n+1 in the SIS Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectiousAtTimeStepInTheSISModelWithBirthsAndDEaths

equation to define the number of infectious individuals in the SIS Model with births and deaths
belongs to
Mathematical Formulation c
has facts
contained in op Susceptible Infectious Susceptible Model with Births and Deaths ni
contains op Birth Rate ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$S_{n+1}=S_n\left(1-\frac{\alpha \Delta t}{N} I_n\right) + \gamma \Delta t I_n + \beta \Delta t (N - S_n)$"^^La Te X ep
in defining formulation dp "$I_n$, Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674395 ep

Influencer Individual Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfluencerIndividualMatrix

adjacency matrix defining the connections between individuals and influencers at time t
belongs to
Quantity c
has facts
contained in op Average Opinion of Followers of Infuencers Formulation ni
contained in op Empirical Distribution of Individuals Formulation ni
contained in op Interaction Force on an Individual ni
specializes op Adjacency Matrix ni
MaRDI ID ap Item: Q6673763 ep

Inhibition Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstant

chemical constant
belongs to
Quantity c
has facts
contained in op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
specializes op Dissociation Constant ni
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674023 ep

Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantProduct1BiBiReactionOrderedSingleCCSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iP_1} = \frac{k_5}{k_{-5}}$"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674396 ep

Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantProduct1BiBiReactionOrderedSteadyStateAssumption

inhibition constant
belongs to
Quantity c
has facts
contained in op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Dissociation Constant ni
specializes op Inhibition Constant ni
defining formulation dp "$K_{iP_1} \equiv \frac{k_5}{k_{-5}}$"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
description ap "Inhibition constant for the product 1 of a Bi Bi Reaction with Ordered Mechanism under the Staedy State Assumption"@en
MaRDI ID ap Item: Q6674024 ep

Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantProduct1BiBiReactionPingPongSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iP_1} = \frac{k_{2}}{k_{-2}}$"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674397 ep

Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantProduct1BiBiReactionTheorellChanceSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iP_1} = \frac{k_{3}}{k_{-2}}$"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674398 ep

Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantProduct2BiBiReactionOrderedSingleCCSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iP_2} = \frac{k_4 + k_5}{k_{-4}}$"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674399 ep

Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantProduct2BiBiReactionOrderedSteadyStateAssumption

inhibition constant
belongs to
Quantity c
has facts
contained in op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Dissociation Constant ni
specializes op Inhibition Constant ni
defining formulation dp "$K_{iP_2} \equiv \frac{k_4 k_5 + k_3 k_4 + k_3 k_5 + k_{-3} k_5}{k_{-4} (k_3 + k_{-3})}$"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
description ap "Inhibition constant for the product 2 of a Bi Bi Reaction with Ordered Mechanism under the Staedy State Assumption"@en
MaRDI ID ap Item: Q6674025 ep

Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantProduct2BiBiReactionPingPongSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iP_2} = \frac{k_{4}}{k_{-4}}$"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674400 ep

Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantProduct2BiBiReactionTheorellChanceSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iP_2} = \frac{k_{3}}{k_{-3}}$"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674401 ep

Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantSubstrate1BiBiReactionOrderedSingleCCSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iS_1} = \frac{k_{-1}}{k_{1}}$"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674402 ep

Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantSubstrate1BiBiReactionOrderedSteadyStateAssumption

inhibition constant
belongs to
Quantity c
has facts
contained in op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Dissociation Constant ni
specializes op Inhibition Constant ni
defining formulation dp "$K_{iS_1} \equiv \frac{k_{-1}}{k_{1}}$"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
description ap "Inhibition constant for the substrate 1 of a Bi Bi Reaction with Ordered Mechanism under the Staedy State Assumption"@en
MaRDI ID ap Item: Q6674026 ep

Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantSubstrate1BiBiReactionPingPongSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iS_1} = \frac{k_{-1}}{k_{1}}$"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674403 ep

Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantSubstrate2BiBiReactionOrderedSingleCCSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iS_2} = \frac{k_{-1} + k_{-2}}{k_2}$"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674405 ep

Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantSubstrate2BiBiReactionOrderedSteadyStateAssumption

inhibition constant
belongs to
Quantity c
has facts
contained in op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contains op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Dissociation Constant ni
specializes op Inhibition Constant ni
defining formulation dp "$K_{iS_2} \equiv \frac{k_{-1} k_{-2} + k_{-1} k_3 + k_{-1} k_{-3} + k_{-2} k_{-3}}{k_2 (k_3 + k_{-3})}$"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
description ap "Inhibition constant for the substrate 2 of a Bi Bi Reaction with Ordered Mechanism under the Staedy State Assumption"@en
MaRDI ID ap Item: Q6674027 ep

Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantSubstrate2BiBiReactionPingPongSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iS_2} = \frac{k_{-3}}{k_{3}}$"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674406 ep

Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitionConstantSubstrate2BiBiReactionTheorellChanceSS

inhibition constant
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{iS_2} = \frac{k_{-1}}{k_{2}}$"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674407 ep

Inhibitor Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InhibitorConcentration

amount of inhibitor present in a reaction environment
belongs to
Quantity c
has facts
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Concentration ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673923 ep

Initial Classical Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialClassicalDensity

initial phase-space density distribution of a classical mechanical system
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Classical Dynamics Model ni
contained in op Classical Dynamics Model ni
contains op Classical Density (Phase Space) ni
contains op Time ni
specializes op Initial Quantum Density ni
defining formulation dp "$\rho(t=0)=\rho_0$"^^La Te X ep
in defining formulation dp "$\rho$, Classical Density (Phase Space)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674408 ep

Initial Classical Momentumni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialClassicalMomentum

initial momentum of a classical particle modeled as point mass
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Classical Dynamics Model ni
contained as initial condition in op Quantum Classical Model ni
contained in op Classical Dynamics Model ni
contained in op Quantum Classical Model ni
contains op Classical Momentum ni
contains op Time ni
defining formulation dp "$p(t=0)=p_0$"^^La Te X ep
in defining formulation dp "$p$, Classical Momentum"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674261 ep

Initial Classical Positionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialClassicalPosition

initial position of a classical particle modeled as point mass
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Classical Dynamics Model ni
contained as initial condition in op Quantum Classical Model ni
contained in op Classical Dynamics Model ni
contained in op Quantum Classical Model ni
contains op Classical Position ni
contains op Time ni
specialized by op Free Fall Initial Height ni
defining formulation dp "$q(t=0)=q_0$"^^La Te X ep
in defining formulation dp "$q$, Classical Position"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674262 ep

Initial Classical Velocityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialClassicalVelocity

initial velocity of a classical particle modeled as point mass
belongs to
Mathematical Formulation c
has facts
contains op Classical Velocity ni
contains op Time ni
specialized by op Free Fall Initial Velocity ni
defining formulation dp "$v(t=0)=v_0$"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$v$, Classical Velocity"^^La Te X ep
MaRDI ID ap Item: Q6674369 ep

Initial Condition for the Continuous SI Model and SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialConditionForTheContinuousSIModelAndSISModel

initial number of susceptible and infectious individuals is equal to the total population
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Continuous Susceptible Infectious Model ni
contained as initial condition in op Continuous Susceptible Infectious Susceptible Model ni
contained as initial condition in op Discrete Susceptible Infectious Susceptible Model ni
contained in op Continuous Susceptible Infectious Model ni
contained in op Continuous Susceptible Infectious Susceptible Model ni
contained in op Discrete Susceptible Infectious Susceptible Model ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
discretized by op Initial Condition for the Discrete SI Model ni
defining formulation dp "$S(0) + I(0) = N$"^^La Te X ep
in defining formulation dp "$I$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S$, Number of Susceptible Individuals"^^La Te X ep
is deterministic dp "true"^^boolean
MaRDI ID ap Item: Q6674410 ep

Initial Condition for the Continuous SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialConditionForTheContinuousSIRModel

initial number of susceptible, infectious and removed individuals is equal to the total population
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Continuous Susceptible Infectious Removed Model ni
contained in op Continuous Susceptible Infectious Removed Model ni
contains op Number of Infectious Individuals ni
contains op Number of Removed Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
discretized by op Initial Condition for the Discrete SIR Model with and without Births and Deaths ni
defining formulation dp "$S(0) + I(0) + R(0) = N$"^^La Te X ep
in defining formulation dp "$I_0$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$R_0$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$S_0$, Number of Susceptible Individuals"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674412 ep

Initial Condition for the Discrete SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialConditionForTheDiscreteSIModel

initial number of susceptible and infectious individuals is equal to the total population
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Discrete Susceptible Infectious Model ni
contained in op Discrete Susceptible Infectious Model ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
discretizes op Initial Condition for the Continuous SI Model and SIS Model ni
defining formulation dp "$S_0 + I_0 = N$"^^La Te X ep
in defining formulation dp "$I_0$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_0$, Number of Susceptible Individuals"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674411 ep

Initial Condition for the Discrete SIR Model with and without Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialConditionForTheDiscreteSIRModel

initial number of susceptible, infectious and removed individuals is equal to the total population
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Discrete Susceptible Infectious Removed Model ni
contained as initial condition in op Susceptible Infectious Removed Model with Births and Deaths ni
contained in op Discrete Susceptible Infectious Removed Model ni
contained in op Susceptible Infectious Removed Model with Births and Deaths ni
contains op Number of Infectious Individuals ni
contains op Number of Removed Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
discretizes op Initial Condition for the Continuous SIR Model ni
defining formulation dp "$S_0 + I_0 + R_0 = N$"^^La Te X ep
in defining formulation dp "$I_0$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$R_0$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$S_0$, Number of Susceptible Individuals"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674413 ep

Initial Condition for the Multi-Population SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialConditionForTheMultiPopulationSIModel

initial number of susceptible and infectious individuals is equal to the total population of each subdomain
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Multi-Population Discrete Susceptible Infectious Model ni
contained in op Multi-Population Discrete Susceptible Infectious Model ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
defining formulation dp "$S_0^i + I_0^i = N^i$"^^La Te X ep
in defining formulation dp "$I_0^i$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_0^i$, Number of Susceptible Individuals"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674414 ep

Initial Condition for the Multi-Population SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialConditionForTheMultiPopulationSIRModel

initial number of susceptible, infectious and removed individuals is equal to the total population of each subdomain
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Multi-Population Discrete Susceptible Infectious Removed Model ni
contained in op Multi-Population Discrete Susceptible Infectious Removed Model ni
contains op Number of Infectious Individuals ni
contains op Number of Removed Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
defining formulation dp "$S_0^i + I_0^i + R_0^i = N^i$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$R_n$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$S_n$, Number of Susceptible Individuals"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674415 ep

Initial Condition for the Multi-Population SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialConditionForTheMultiPopulationSISModel

initial number of susceptible and infectious individuals is equal to the total population of each subdomain
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Multi-Population Discrete Susceptible Infectious Susceptible Model ni
contained in op Multi-Population Discrete Susceptible Infectious Susceptible Model ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
defining formulation dp "$S_0^i + I_0^i = N^i$"^^La Te X ep
in defining formulation dp "$I_0^i$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_0^i$, Number of Susceptible Individuals"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674416 ep

Initial Control Stateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialControlState

initial state of a control system
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Balanced Truncation (Bi-linear) ni
contained as initial condition in op Balanced Truncation (Linear) ni
contained as initial condition in op Control System Initial (Reduced) ni
contained as initial condition in op Control System Model (Bilinear) ni
contained as initial condition in op Control System Model (Linear) ni
contained as initial condition in op Control System Time Evolution (Bi-linear) ni
contained as initial condition in op Control System Time Evolution (Linear) ni
contained as initial condition in op H2 Optimal Approximation (Bi-linear) ni
contained as initial condition in op H2 Optimal Approximation (Linear) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Linear) ni
contained in op Control System Initial (Reduced) ni
contained in op Control System Model (Bilinear) ni
contained in op Control System Model (Linear) ni
contained in op Control System Time Evolution (Bi-linear) ni
contained in op Control System Time Evolution (Linear) ni
contained in op H2 Optimal Approximation (Bi-linear) ni
contained in op H2 Optimal Approximation (Linear) ni
contained in op Optimal Control Initial ni
contains op Control System Initial ni
contains op Control System State ni
contains op Time ni
defining formulation dp "$x(t=0)=x_0$"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
in defining formulation dp "$x_0$, Control System Initial"^^La Te X ep
MaRDI ID ap Item: Q6674147 ep

Initial Control State (Reduced)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialControlStateReduced

initial state of a control system; after model order reduction
belongs to
Quantity c
has facts
contained as input in op Balanced Truncation (Bi-linear) ni
contained as input in op Balanced Truncation (Linear) ni
contained as input in op H2 Optimal Approximation (Bi-linear) ni
contained as input in op H2 Optimal Approximation (Linear) ni
contained in op Balanced Truncation (Bi-linear) ni
contained in op Balanced Truncation (Linear) ni
contained in op H2 Optimal Approximation (Bi-linear) ni
contained in op H2 Optimal Approximation (Linear) ni
contained in op Initial Control State (Reduced) ni
contains op Control System State (Reduced) ni
contains op Initial Control State (Reduced) ni
contains op Time ni
defining formulation dp "$\tilde{x}(t=0) \equiv \tilde{x}_0$"^^La Te X ep
in defining formulation dp "$\tilde{x}$, Control System State (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{x}_0$, Initial Control State (Reduced)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674028 ep

Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeProduct1Product2ComplexConcentrationBiBiOrderedODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
defining formulation dp "$c_{EP_{1}P_{2}}(t=0) = c_{{EP_{1}P_{2}}_{0}}$"^^La Te X ep
in defining formulation dp "$c_{PS_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674167 ep

Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeProduct2ComplexConcentrationBiBiTheorellChanceODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
defining formulation dp "$c_{EP_2}(t=0) = c_{{EP_2}_{0}}$"^^La Te X ep
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674228 ep

Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeSubstrateComplexConcentrationUniUniODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Uni Uni Reaction (ODE Model) ni
contained in op Uni Uni Reaction (ODE Model) ni
contains op Enzyme-Substrate Complex Concentration ni
contains op Time ni
defining formulation dp "$c_{ES}(t=0) = c_{{ES}_{0}}$"^^La Te X ep
in defining formulation dp "$c_{ES}$, Enzyme-Substrate Complex Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674421 ep

Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeSubstrate1ComplexConcentrationBiBiTheorellChanceODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
defining formulation dp "$c_{ES_1}(t=0) = c_{{ES_1}_{0}}$"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674229 ep

Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeSubstrate1Substrate2ComplexConcentrationBiBiOrderedODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
defining formulation dp "$c_{ES_{1}S_{2}}(t=0) = c_{{ES_{1}S_{2}}_{0}}$"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674169 ep

Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with Single Central Compelx - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeSubstrate1Substrate2EnzymeProduct1Product2ComplexConcentrationBiBiOrderedODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contains op Concentration ni
contains op Time ni
defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}(t=0) = c_{{ES_{1}S_{2}=EP_{1}P_{2}}_{0}}$"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674175 ep

Initial Inhibitor Concentration (Uni Uni Reaction)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialInhibitorConcentrationUniUni

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Time ni
defining formulation dp "$c_I(t=0) = c_{I_{0}}$"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674422 ep

Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialIntermediateSubstrate2ComplexConcentrationBiBiPingPongODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
defining formulation dp "$c_{E*S_2}(t=0) = c_{E*S_{2_{0}}}$"^^La Te X ep
in defining formulation dp "$c_{E*S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674207 ep

Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialIntermediateConcentrationBiBiPingPongODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
defining formulation dp "$c_E*(t=0) = c_{E*_{0}}$"^^La Te X ep
in defining formulation dp "$c_{E*}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674206 ep

Initial Number of Infected Citiesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialNumberOfInfectedCities

initial number of infected cities
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Spreading Curve (Approximate, Formulation) ni
contained as initial condition in op Susceptible Infectious Epidemic Spreading Model ni
contained in op Spreading Curve (Approximate, Formulation) ni
contained in op Susceptible Infectious Epidemic Spreading Model ni
contains op Number of Infected Cities ni
contains op Number of Regions ni
contains op Time ni
defining formulation dp "$(i_m(t=0))_{m=1}^{N_R} = i(0)$"^^La Te X ep
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
in defining formulation dp "$i_m(t)$, Number of Infected Cities"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674134 ep

Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiOrderedODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_1}(t=0) = c_{P_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674170 ep

Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiOrderedwithProduct1MichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_1}(t=0) = c_{P_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674157 ep

Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiOrderedwithoutProduct1MichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
defining formulation dp "$c_{P_1}(t=0) = 0$"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674161 ep

Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiPingPongODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_1}(t=0) = c_{P_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674208 ep

Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiwithProduct1MichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_1}(t=0) = c_{P_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674194 ep

Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiTheorellChanceODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_1}(t=0) = c_{P_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674230 ep

Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiTheorellChancewithProduct1MichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_1}(t=0) = c_{P_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674220 ep

Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiOrderedODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_2}(t=0) = c_{P_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674171 ep

Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiOrderedwithProduct2MichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_2}(t=0) = c_{P_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674162 ep

Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiOrderedwithoutProduct2MichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
defining formulation dp "$c_{P_2}(t=0) = 0$"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674158 ep

Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiMichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_2}(t=0) = c_{P_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674424 ep

Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiPingPongODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_2}(t=0) = c_{P_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674209 ep

Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiTheorellChanceODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_2}(t=0) = c_{P_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674231 ep

Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiTheorellChancewithProduct2MichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P_2}(t=0) = c_{P_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674225 ep

Initial Product Concentration (Uni Uni Reaction - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProductConcentrationUniUniODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Uni Uni Reaction (ODE Model) ni
contained in op Uni Uni Reaction (ODE Model) ni
contains op Product Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P}(t=0) = c_{P_{0}}$"^^La Te X ep
in defining formulation dp "$c_{P}$, Product Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674423 ep

Initial Product Concentration (Uni Uni Reaction with Product)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProductConcentrationUniUniwithProduct

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
similar to op Initial Product Concentration (Uni Uni Reaction with Product) ni
defining formulation dp "$c_{P}(t=0) = c_{P_0}$"^^La Te X ep
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674425 ep

Initial Product Concentration (Uni Uni Reaction without Product)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProductConcentrationUniUniwithoutProduct

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
contained as initial condition in op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
contained as initial condition in op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
contained as initial condition in op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
contained as initial condition in op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
contained as initial condition in op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
contained as initial condition in op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
contained as initial condition in op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Product Concentration ni
contains op Time ni
defining formulation dp "$c_{P}(t=0) = 0$"^^La Te X ep
in defining formulation dp "$c_{P}$, Product Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674426 ep

Initial Quantum Stateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialQuantumState

initial state vector of a quantum-mechanical system
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Quantum Classical Model ni
contained as initial condition in op Quantum Model (Closed System) ni
contained in op Quantum Classical Model ni
contained in op Quantum Model (Closed System) ni
contains op Quantum State Vector ni
contains op Time ni
specializes op Initial Quantum Density ni
defining formulation dp "$\psi(t=0)=\psi_0$"^^La Te X ep
in defining formulation dp "$\psi$, Quantum State Vector"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674427 ep

Initial Reaction Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRate

instantaneous rate at the start of the reaction
belongs to
Quantity c
has facts
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673924 ep

Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingOrderedMechanismWithProduct1

initial rate of ordered bi bi reaction with product 1
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
specializes op Bi Bi Reaction ni
specializes op Bi Bi Reaction following Ordered Mechanism ni

Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 and Single Central Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingOrderedMechanismWithProduct1AndSingleCC

initial rate of ordered bi bi reaction with product 1 and Single Central complex
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
specializes op Bi Bi Reaction ni
specializes op Bi Bi Reaction following Ordered Mechanism with Single Central Complex ni

Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingOrderedMechanismWithProduct2

initial rate of ordered bi bi reaction with product 2
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
specializes op Bi Bi Reaction ni
specializes op Bi Bi Reaction following Ordered Mechanism ni

Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 and Single Central Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingOrderedMechanismWithProduct2AndSingleCC

initial rate of ordered bi bi reaction with product 2 and Single Central complex
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
specializes op Bi Bi Reaction ni
specializes op Bi Bi Reaction following Ordered Mechanism with Single Central Complex ni

Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingOrderedMechanismWithProducts1And2

initial rate of ordered bi bi reaction with products 1 and 2
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
specializes op Bi Bi Reaction ni
specializes op Bi Bi Reaction following Ordered Mechanism ni

Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 and Single Central Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingOrderedMechanismWithProducts1And2AndSingleCC

initial rate of ordered bi bi reaction with products 1 and 2 and Single Central complex
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
specializes op Bi Bi Reaction ni
specializes op Bi Bi Reaction following Ordered Mechanism with Single Central Complex ni

Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Productsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingOrderedMechanismWithoutProducts

initial rate of ordered bi bi reaction without products
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
specializes op Bi Bi Reaction ni
specializes op Bi Bi Reaction following Ordered Mechanism ni

Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products and Single Central Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingOrderedMechanismWithoutProductsAndSingleCC

initial rate of ordered bi bi reaction without products and Single Central complex
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
specializes op Bi Bi Reaction ni
specializes op Bi Bi Reaction following Ordered Mechanism with Single Central Complex ni

Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingTheorellChanceMechanismWithProduct1

initial rate of Theorell-Chance bi bi reaction with product 1
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni

Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 and 2ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingTheorellChanceMechanismWithProducts1And2

initial rate of Theorell-Chance bi bi reaction with products 1 and 2
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni

Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 2ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingTheorellChanceMechanismWithProduct2

initial rate of Theorell-Chance bi bi reaction with product 2
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni

Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism without Productsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingTheorellChanceMechanismWithoutProducts

initial rate of Theorell-Chance bi bi reaction without products
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni

Initial Reaction Rate of Uni Uni Reaction with Productni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfUniUniReactionWithProduct

initial rate of uni uni reaction with product
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction ni
MaRDI ID ap Item: Q6684661 ep

Initial Reaction Rate of Uni Uni Reaction without Productni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateUniUniReactionWithoutProduct

initial rate of uni uni reaction without product
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
modeled by op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
modeled by op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
modeled by op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
modeled by op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
modeled by op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
modeled by op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
modeled by op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
modeled by op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
modeled by op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
modeled by op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
modeled by op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
specializes op Initial Reaction Rate of Uni Uni Reaction with Product ni
specializes op Uni Uni Reaction ni
MaRDI ID ap Item: Q6684662 ep

Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfUniUniReactionWithoutProductandCompetitivePartialInhibition

initial rate of uni uni reaction without product and competitive partial inhibition
belongs to
Research Problem c
has facts
modeled by op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specializes op Uni Uni Reaction with Competitive Partial Inhibition ni
specializes op Uni Uni Reaction with Reversible Partial Inhibition ni

Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfUniUniReactionWithoutProductAndMixedPartialInhibition

initial rate of uni uni reaction without product and mixed partial inhibition
belongs to
Research Problem c
has facts
modeled by op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specializes op Uni Uni Reaction with Mixed Partial Inhibition ni
specializes op Uni Uni Reaction with Reversible Partial Inhibition ni

Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfUniUniReactionWithoutProductAndNonCompetitivePartialInhibition

initial rate of uni uni reaction without product and non-competitive partial inhibition
belongs to
Research Problem c
has facts
modeled by op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specializes op Uni Uni Reaction with Non-Competitive Partial Inhibition ni
specializes op Uni Uni Reaction with Reversible Partial Inhibition ni

Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfUniUniReactionWithoutProductAndUncompetitivePartialInhibition

initial rate of uni uni reaction without product and uncompetitive partial inhibition
belongs to
Research Problem c
has facts
modeled by op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specializes op Uni Uni Reaction with Reversible Partial Inhibition ni
specializes op Uni Uni Reaction with Uncompetitive Partial Inhibition ni

Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate1ConcentrationBiBiOrderedMichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_1}(t=0) = c_{S_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674159 ep

Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate1ConcentrationBiBiOrderedODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_1}(t=0) = c_{S_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674172 ep

Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate1ConcentrationBiBiMichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_1}(t=0) = c_{S_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674196 ep

Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate1ConcentrationBiBiPingPongODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_1}(t=0) = c_{S_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674210 ep

Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate1ConcentrationBiBiTheorellChanceMichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_1}(t=0) = c_{S_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674222 ep

Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate1ConcentrationBiBiTheorellChanceODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_1}(t=0) = c_{S_{1,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674232 ep

Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate2ConcentrationBiBiOrderedMichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_2}(t=0) = c_{S_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674160 ep

Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate2ConcentrationBiBiOrderedODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained as initial condition in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_2}(t=0) = c_{S_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674173 ep

Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate2ConcentrationBiBiMichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_2}(t=0) = c_{S_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674197 ep

Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate2ConcentrationBiBiPingPongODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_2}(t=0) = c_{S_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674211 ep

Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate2ConcentrationBiBiTheorellChanceMichaelisMentenModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_2}(t=0) = c_{S_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674223 ep

Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrate2ConcentrationBiBiTheorellChanceODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contains op Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_{S_2}(t=0) = c_{S_{2,0}}$"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674233 ep

Initial Substrate Concentration (Uni Uni Reaction - ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrateConcentrationUniUniODEModel

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Uni Uni Reaction (ODE Model) ni
contained in op Uni Uni Reaction (ODE Model) ni
contains op Substrate Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_S(t=0) = c_{S_{0}}$"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674428 ep

Initial Substrate Concentration (Uni Uni Reaction)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialSubstrateConcentrationUniUni

initial concentration
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
contained as initial condition in op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
contained as initial condition in op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
contained as initial condition in op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
contained as initial condition in op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
contained as initial condition in op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
contained as initial condition in op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
contained as initial condition in op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
contained as initial condition in op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as initial condition in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Time ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
similar to op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction) ni
similar to op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
defining formulation dp "$c_S(t=0) = c_{S_{0}}$"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674429 ep

Initial Value for Electron Scatteringni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialValueForElectronScattering

initial value for electron scattering, used for modeling of transmission electron microscopy
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Dynamical Electron Scattering Model ni
contained in op Dynamical Electron Scattering Model ni
contains op Amplitude of Electron Wave ni
contains op Reciprocal Lattice ni
contains op Reciprocal Lattice Vectors ni
defining formulation dp "$\varphi_{\mathbf{g}}(0) =\delta_{\mathbf{0},\mathbf{g}} \quad \text{for } \mathbf{g}\in \Lambda_m^*$"^^La Te X ep
in defining formulation dp "$\Lambda^*_m$, Reciprocal Lattice"^^La Te X ep
in defining formulation dp "$\varphi_{\mathbf{g}}(0)$, Amplitude of Electron Wave"^^La Te X ep
in defining formulation dp "$g$, Reciprocal Lattice Vectors"^^La Te X ep
MaRDI ID ap Item: Q6674130 ep

Integral of the Population Density Fraction of Exposed (Initial Condition)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntegralOfThePopulationDensityFractionOfExposedInitialCondition

integral of the population density fraction of exposed initial condition
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op PDE SEIR Model ni
contained in op PDE SEIR Model ni
contains op Coefficient Scaling Infectious to Exposed ni
contains op Fraction of Population Density of Exposed ni
contains op Number of Infectious Individuals ni
contains op Total Population Density ni
defining formulation dp "$\int_{\Omega^{(l)}} e(x, 0) n(x) d x=\Sigma_{\mathcal{E}} \hat{\mathcal{I}}^{(l)}$"^^La Te X ep
in defining formulation dp "$\Sigma_{\mathcal{E}}$, Coefficient Scaling Infectious to Exposed"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{I}}^{(l)}$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$e(x, 0)$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$n(x)$, Total Population Density"^^La Te X ep
MaRDI ID ap Item: Q6674430 ep

Integral of the Population Density Fraction of Infectious (Initial Condition)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntegralOfThePopulationDensityFractionOfInfectiousInitialCondition

integral of the population density fraction of infectious initial condition
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op PDE SEIR Model ni
contained in op PDE SEIR Model ni
contains op Fraction of Population Density of Infectious ni
contains op Number of Infectious Individuals ni
contains op Total Population Density ni
defining formulation dp "$\int_{\Omega^{(l)}} i(x, 0) n(x) d x=\hat{\mathcal{I}}^{(l)}$"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{I}}^{(l)}$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$i(x, 0)$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$n(x)$, Total Population Density"^^La Te X ep
MaRDI ID ap Item: Q6674431 ep

Integral of the Population Density Fraction of Susceptibles (Initial Condition)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntegralOfThePopulationDensityFractionOfSusceptiblesInitialCondition

integral of the population density fraction of susceptibles initial condition
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op PDE SEIR Model ni
contained in op PDE SEIR Model ni
contains op Coefficient Scaling Infectious to Exposed ni
contains op Fraction of Population Density of Susceptibles ni
contains op Number of Infectious Individuals ni
contains op Number of Removed Individuals ni
contains op Total Population Density ni
contains op Total Population Size ni
defining formulation dp "$ \int_{\Omega^{(l)}} s(x, 0) n(x) dx = \hat{\mathcal{N}}_l-\left(1+\Sigma_{\mathcal{E}}\right) \hat{\mathcal{I}}^{(l)}-\hat{\mathcal{R}}^{(l)} $"^^La Te X ep
in defining formulation dp "$\Sigma_{\mathcal{E}}$, Coefficient Scaling Infectious to Exposed"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{I}}^{(l)}$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{N}}_l$, Total Population Size"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{R}}^{(l)}$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$n(x)$, Total Population Density"^^La Te X ep
in defining formulation dp "$s(x, 0)$, Fraction of Population Density of Susceptibles"^^La Te X ep
MaRDI ID ap Item: Q6674432 ep

Integral of the Total Population Density (Initial Condition)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntegralOfTheTotalPopulationDensityInitialCondition

integral of the total population density initial condition
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op PDE SEIR Model ni
contained in op PDE SEIR Model ni
contains op Total Population Density ni
contains op Total Population Size ni
defining formulation dp "$\int_{\Omega^{(l)}} n(x) d x=\hat{\mathcal{N}}_l$"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{N}}_l$, Total Population Size"^^La Te X ep
in defining formulation dp "$n(x)$, Total Population Density"^^La Te X ep
MaRDI ID ap Item: Q6674433 ep

Interaction Forceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InteractionForce

interaction force on individual by media and influencers
belongs to
Quantity c
has facts
contained in op Change in Opinions of Individuals ni
contained in op Interaction Force on an Individual ni
contained in op Normal Interaction Force of Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
specializes op Force ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673851 ep

Interaction Force on an Individualni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InteractionForceOnAnIndividual

interaction force on an individual
belongs to
Mathematical Formulation c
has facts
contained in op Opinion Model with Influencers and Media ni
contains op Influencer Individual Matrix ni
contains op Interaction Force ni
contains op Interaction Weight ni
contains op Medium Follower Matrix ni
contains op Parameter to Scale Attractive Force from Influencers ni
contains op Parameter to Scale Attractive Force from Media ni
contains op Parameter to Scale Attractive Force from Other Individuals ni
contains op Time ni
defining formulation dp "$F_i(\mathbf{x}, \mathbf{y}, \mathbf{z}, t)=\frac{a}{\sum_{j^{\prime}} w_{i j^{\prime}}(t)} \sum_{j=1}^N w_{i j}(t)\left(x_j(t)-x_i(t)\right)+b \sum_{m=1}^M B_{i m}(t)\left(y_m(t)-x_i(t)\right)+c \sum_{l=1}^L C_{i l}(t)\left(z_l(t)-x_i(t)\right)$"
in defining formulation dp "$B(t)$, Medium Follower Matrix"^^La Te X ep
in defining formulation dp "$C(t)$, Influencer Individual Matrix"^^La Te X ep
in defining formulation dp "$F_i(t)$, Interaction Force"^^La Te X ep
in defining formulation dp "$a$, Parameter to Scale Attractive Force from Other Individuals"^^La Te X ep
in defining formulation dp "$b$, Parameter to Scale Attractive Force from Media"^^La Te X ep
in defining formulation dp "$c$, Parameter to Scale Attractive Force from Influencers"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$w_{ij}$, Interaction Weight"^^La Te X ep
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "The interaction force on individual i is given by a weighted sum of attractive forces from all other connected individuals j, the respective media and the respective influencer scaled by the parameters a,b,c > 0 respectively."@en
MaRDI ID ap Item: Q6674434 ep

Interaction Weightni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InteractionWeight

interaction weight between a pair of individuals to account for their influence on each other's opinions
belongs to
Quantity c
has facts
contained in op Interaction Force on an Individual ni
contained in op Interaction Weight Between Individuals ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674033 ep

Interaction Weight Between Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InteractionWeightBetweenIndividuals

interaction weights between pairs of individuals
belongs to
Mathematical Formulation c
has facts
contained in op Opinion Model with Influencers and Media ni
contains op Individual Relationship Matrix ni
contains op Interaction Weight ni
contains op Opinion Vector of Individuals ni
contains op Pair Function ni
contains op Time ni
defining formulation dp "$ w_{ij}(t) = A_{ij}(t) \phi (|| x_j(t) - x_i(t)|| )$"^^La Te X ep
in defining formulation dp "$A(t)$, Individual Relationship Matrix"^^La Te X ep
in defining formulation dp "$\phi$, Pair Function"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$w_{ij}(t)$, Interaction Weight"^^La Te X ep
in defining formulation dp "$x(t)$, Opinion Vector of Individuals"^^La Te X ep
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674435 ep

Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntermediateSubstrate2ComplexConcentrationODEBiBiPingPong

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{E*S_2}}{dt} = k_{3} c_{E*} c_{S_2} + k_{-4} c_{E} c_{P_2} - k_{-3} c_{E*S_2} - k_{4} c_{E*S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{E*S_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E*S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E*}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674215 ep

Intermediate - Substrate 2 Complex Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntermediateSubstrate2ComplexConcentration

amount of intermediate - substrate 2 complex present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673818 ep

Intermediate Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntermediateConcentration

amount of intermediate present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673817 ep

Intermediate Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntermediateConcentrationODEBiBiPingPong

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{E*}}{dt} = k_{2} c_{ES_1} + k_{-3} c_{E*S_2} - k_{-2} c_{E*} c_{P_1} - k_{3} c_{E*} c_{S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{E*}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E*S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E*}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674214 ep

Intermolecular Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IntermolecularPotential

energy function that describes the interactions between molecules
belongs to
Quantity c
has facts
contained in op Quantum Hamiltonian (Normal Mode, Intermolecular) ni
contained in op Vibrational Frequency Shift (1st Order) ni
contained in op Vibrational Frequency Shift (2nd Order) ni
description ap "Intermolecular potential energy function that describes the interactions between molecules. Typically, Intermolecular forces are weak relative to intramolecular forces."@en
MaRDI ID ap Item: Q6674034 ep
Wikidata ID ap Q245031 ep

Ion Currentni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IonCurrent

flow of electrical charge observed in electrolytes, wires, plasma, and other conducting materials or fluids
belongs to
Quantity c
has facts
contained in op Monodomain Equation for Action Potential Propagation ni
contained in op Motor Neuron Pool ODE System ni
contained in op Subcellular DAE System ni
specializes op Electric Current ni
MaRDI ID ap Item: Q6674035 ep
QUDT ID ap Ion Current ep
Wikidata ID ap Q6063423 ep

Isotropic Gaussian Functionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IsotropicGaussianFunction

Gaussian function representing density and density fractions of provinces
belongs to
Quantity c
has facts
contained in op Fraction of Population Density of Exposed Formulation ni
contained in op Fraction of Population Density of Infectious Formulation ni
contained in op Fraction of Population Density of Susceptibles Formulation ni
contained in op Isotropic Gaussian Function Formulation ni
contained in op Total Population Density Formulation ni
description ap "Isotropic Gaussian Function located at the center of the respective province used in the PDE SEIR Model for representing density and density fractions"@en
MaRDI ID ap Item: Q6673982 ep

Isotropic Gaussian Function Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#IsotropicGaussianFunctionFormulation

isotropic gaussian function located at the center of the respective province for representing density and density fractions
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Center of Province ni
contains op Isotropic Gaussian Function ni
contains op Pi Number ni
contains op Variance ni
defining formulation dp "$G^{(l)}(x) \equiv \frac{1}{2\pi\sigma^2}\text{exp}(-\frac{||x-x_0^{(l)}||^2}{2\sigma^2})$"^^La Te X ep
in defining formulation dp "$G^{(l)}(x)$, Isotropic Gaussian Function"^^La Te X ep
in defining formulation dp "$\pi$, Pi Number"^^La Te X ep
in defining formulation dp "$\sigma$, Variance"^^La Te X ep
in defining formulation dp "$x_0^{(l)}$, Center of Province"^^La Te X ep
MaRDI ID ap Item: Q6674437 ep

Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interactionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Jahnke_2022_Efficient_Numerical_Simulation_of_Soil-Tool_Interaction

publication
belongs to
Publication c
has facts
describes op Efficient Numerical Simulation of Soil-Tool Interaction ni
describes op Recurrent Neural Network Surrogate for Discrete Element Method ni
describes study of op Efficient Numerical Simulation of Soil-Tool Interaction ni
describes study of op Recurrent Neural Network Surrogate for Discrete Element Method ni
DOI ap publica 340 ep

Koprucki (2017) Numerical methods for drift-diffusion modelsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Koprucki_2017_Numerical_methods_for_drift-diffusion_models

publication
belongs to
Publication c
has facts
describes op Drift-Diffusion Model ni
describes survey of op Drift-Diffusion Model ni
description ap "Handbook of Optoelectronic Device Modeling and Simulation, Chapter = 50, Editor = Joachim Piprek, Pages = 733-771, Title = Drift-Diffusion Models, publisher = CRC Press, Volume = 2, Year = 2017"@en
DOI ap W I A S. P R E P R I N T.2263 ep

Kostré (2022) Understanding the romanization spreading on historical interregional networks in Northern Tunisiani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Kostre_2022_Understanding_the_romanization_spreading_on_historical_interregional_networks_in_Northern_Tunisia

publication
belongs to
Publication c
has facts
describes op Romanization Spreading in Northern Tunesia ni
describes op Susceptible Infectious Epidemic Spreading Model ni
describes invention of op Susceptible Infectious Epidemic Spreading Model ni
describes study of op Romanization Spreading in Northern Tunesia ni
DOI ap s41109 022 00492 w ep
Wikidata ID ap Q115136310 ep

Lagrange Multiplierni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LagrangeMultiplier

method to solve constrained optimization problems
belongs to
Quantity c
has facts
specialized by op Control System Lagrange Multiplier ni
MaRDI ID ap Item: Q6674036 ep
Wikidata ID ap Q598870 ep

Laplace Equation for the Electric Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LaplaceEquationForTheElectricPotential

in electrostatics, the Laplace equation characterizes the electrostatic potential in the absence of charges
belongs to
Mathematical Formulation c
has facts
contained in op Electron Shuttling Model ni
contained in op Semiconductor Charge Neutrality ni
contains op Electric Potential ni
contains op Permittivity (Dielectric) ni
specializes op Gauss Law (Electric Field) ni
specializes op Poisson Equation for the Electric Potential ni
defining formulation dp "$-\nabla\left(\epsilon_s\nabla\phi\right)=0$"^^La Te X ep
in defining formulation dp "$\epsilon_s$, Permittivity (Dielectric)"^^La Te X ep
in defining formulation dp "$\phi$, Electric Potential"^^La Te X ep
MaRDI ID ap Item: Q6534320 ep
Wikidata ID ap Q339444 ep

Length of Unit Cellni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LengthOfUnitCell

defines the size of the repeating unit in a crystal structure
belongs to
Quantity c
has facts
contained in op Periodic Boundary Condition for Electric Potential ni
specializes op Length ni
MaRDI ID ap Item: Q6534334 ep

Leskovac (2003) Comprehensive Enzyme Kineticsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Leskovac_2003_Comprehensive_Enzyme_Kinetics

publication
belongs to
Publication c
has facts
describes op Enzyme Kinetics ni
describes survey of op Enzyme Kinetics ni
description ap "Vrvic, Miroslav. (2003). Comprehensive enzyme kinetics by V. Leskovac, Published by Kluwer Academic/Plenum Plblisher New York, March 2003-11-17. Journal of The Serbian Chemical Society - J SERB CHEM SOC. 68. 1011-1013"@en
DOI ap J S C0312011 V ep

Level of Mortalityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LevelOfMortality

rate at which individuals in a population die over a specified period
belongs to
Quantity c
has facts
contained as output in op Maximizing Poisson log-Likelihood ni
contained in op Gamma-Gompertz–Makeham Law ni
contained in op Maximizing Poisson log-Likelihood ni
MaRDI ID ap Item: Q6673999 ep

Likelihood Valueni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LikelihoodValue

probability density of observed data viewed as a function of the parameters of a statistical model
belongs to
Quantity c
has facts
contained as output in op Maximizing Poisson log-Likelihood ni
contained in op Maximizing Poisson log-Likelihood ni
contained in op Poisson log-Likelihood ni
description ap "measure used in statistics to quantify how well a given set of model parameters explains observed data"@en
MaRDI ID ap Item: Q6674037 ep
Wikidata ID ap Q45284 ep

Limiting Distribution of Individuals Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingDistributionOfIndividualsFormulation

equation representing the limiting distribution of individuals
belongs to
Mathematical Formulation c
has facts
assumes op Number of Individuals Tends to Infinity Assumption ni
contained in op Partial Mean Field Opinion Model ni
contains op Attraction Force at Opinion ni
contains op Limiting Distribution of Individuals ni
contains op Noise Strength ni
contains op Opinion ni
contains op Rate of Switching Influencers ni
contains op Time ni
specializes op Empirical Distribution of Individuals Formulation ni
defining formulation dp "$\partial_t \rho_{m, l}(x, t)=\frac{1}{2} \sigma^2 \Delta \rho_{m, l}(x, t)-\nabla \cdot\left(\rho_{m, l}(x, t) \mathcal{F} \left(x, y_m, z_l, \rho\right)\right) \quad+\sum_{l^{\prime} \neq l}\left(-\Lambda_m^{\rightarrow l^{\prime}}(x, t) \rho_{m, l}(x, t)+\Lambda_m^{\rightarrow l}(x, t) \rho_{m, l^{\prime}}(x, t)\right)$"^^La Te X ep
in defining formulation dp "$\Lambda_m^{\rightarrow l}$, Rate of Switching Influencers"^^La Te X ep
in defining formulation dp "$\mathcal{F}$, Attraction Force at Opinion"^^La Te X ep
in defining formulation dp "$\partial_t \rho_{m, l}(x, t)$, Limiting Distribution of Individuals"^^La Te X ep
in defining formulation dp "$\sigma$, Noise Strength"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Opinion"^^La Te X ep
in defining formulation dp "$y_m$, Opinion"^^La Te X ep
in defining formulation dp "$z_l$, Opinion"^^La Te X ep
MaRDI ID ap Item: Q6674438 ep

Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateBackwardBiBiReactionOrdered

limiting reaction rate
belongs to
Quantity c
has facts
contained in op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contains op Enzyme Concentration ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni
contains op Reaction Rate Constant ni
specializes op Rate ni
specializes op Reaction Rate ni
defining formulation dp "$V_{max,b} \equiv \frac{k_{-1} k_{-2} k_{-3}}{k_{-1} k_{-2} + k_{-1} k_3 + k_{-1} k_{-3} + k_{-2} k_{-3}} c_{E_0}$"^^La Te X ep
in defining formulation dp "$V_{max,b}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward)"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$k_3$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
description ap "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism in the backward direction."@en
MaRDI ID ap Item: Q6674039 ep

Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateForwardBiBiReactionOrdered

limiting reaction rate
belongs to
Quantity c
has facts
contained in op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption) ni
contains op Enzyme Concentration ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
contains op Reaction Rate Constant ni
specializes op Rate ni
specializes op Reaction Rate ni
defining formulation dp "$V_{max,f} \equiv \frac{k_3 k_4 k_5}{k_4 +k_5 + k_3 k_4 + k_3 k_5 + k_{-3} k_5} c_{E_0}$"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$k_3$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_4$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_5$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
description ap "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism in the forward direction."@en
MaRDI ID ap Item: Q6674040 ep

Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateForwardBiBiReactionOrderedsingleCC

limiting reaction rate
belongs to
Quantity c
has facts
contained in op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni
contains op Enzyme Concentration ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
contains op Reaction Rate Constant ni
specializes op Rate ni
specializes op Reaction Rate ni
defining formulation dp "$V_{max,f} \equiv \frac{k_4 k_5}{k_4 +k_5} c_{E_0}$"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward)"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$k_4$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_5$, Reaction Rate Constant"^^La Te X ep
description ap "Maximal initial reaction rate of Bi Bi Reaction with Ordered Mechanism and Single Central Complex in the forward direction."@en
MaRDI ID ap Item: Q6674041 ep

Limiting Reaction Rate (Uni Uni Reaction - Backward)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateUniUniReactionBackward

limiting reaction rate
belongs to
Quantity c
has facts
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contains op Enzyme Concentration ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
contains op Reaction Rate Constant ni
specializes op Rate ni
specializes op Reaction Rate ni
defining formulation dp "$V_{max,b} \equiv k_{-2} c_{E_0}$"^^La Te X ep
in defining formulation dp "$V_{max,b}$, Limiting Reaction Rate (Uni Uni Reaction - Backward)"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
is dimensionless dp "false"^^boolean
description ap "Maximal initial reaction rate of Uni Uni Reaction in the backward direction."@en
MaRDI ID ap Item: Q6674042 ep

Limiting Reaction Rate (Uni Uni Reaction - Forward)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateUniUniReactionForward

limiting reaction rate
belongs to
Quantity c
has facts
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contains op Enzyme Concentration ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Reaction Rate Constant ni
specializes op Rate ni
specializes op Reaction Rate ni
defining formulation dp "$V_{max,f} \equiv k_2 c_{E_0}$"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$k_2$, Reaction Rate Constant"^^La Te X ep
is dimensionless dp "false"^^boolean
description ap "Maximal initial reaction rate of Uni Uni Reaction in the forward direction."@en
MaRDI ID ap Item: Q6673925 ep

Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateBackwardBiBiReactionOrderedsingleCC

limiting reaction rate
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contains op Concentration ni
contains op Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains initial condition op Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
defining formulation dp "$V_2 = \frac{k_{-1} k_{-2}}{k_{-1} +k_{-2}} c_{E_0}$"^^La Te X ep
in defining formulation dp "$V_2$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674440 ep

Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateBackwardBiBiReactionPingPong

limiting reaction rate
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Concentration ni
contains op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains initial condition op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
defining formulation dp "$V_{2} = \frac{k_{-1} k_{-3}}{k_{-1} + k_{-3}} c_{E_{0}}$"^^La Te X ep
in defining formulation dp "$V_2$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674441 ep

Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateForwardBiBiReactionPingPong

limiting reaction rate
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
contains op Concentration ni
contains op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains initial condition op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
defining formulation dp "$V_{1} = \frac{k_{2} k_{4}}{k_{2} + k_{4}} c_{E_{0}}$"^^La Te X ep
in defining formulation dp "$V_1$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E_{0}}$, Concentration"^^La Te X ep
in defining formulation dp "$k_2$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_4$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674443 ep

Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LimitingReactionRateUniUniReactionForwardWithInhibitor

limiting reaction rate
belongs to
Quantity c
has facts
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contains op Enzyme Concentration ni
contains op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains op Reaction Rate Constant ni
specializes op Rate ni
specializes op Reaction Rate ni
defining formulation dp "$V_{max,I,f} \equiv k_{6} c_{E_0}$"^^La Te X ep
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_{E_0}$, Enzyme Concentration"^^La Te X ep
in defining formulation dp "$k_{6}$, Reaction Rate Constant"^^La Te X ep
is dimensionless dp "false"^^boolean
description ap "Forward Limiting Reaction Rate with Inhibitor in an Uni Uni Reaction"@en
MaRDI ID ap Item: Q6674043 ep

Line Conceptni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineConcept

line concepts assign frequencies to lines of a line pool
belongs to
Mathematical Formulation c
has facts
contained in op Line Concept Costs ni
contains op Frequency ni
contains op PTN Line ni
described as documented by op Gattermann (2017) Line pool generation ni
described by op Gattermann (2017) Line pool generation ni
defining formulation dp "$(\mathcal{L},f)$"^^La Te X ep
in defining formulation dp "$\mathcal{L}$, PTNLine"^^La Te X ep
in defining formulation dp "$f_l$, Frequency"^^La Te X ep
description ap "A line concept is a set of lines together with their frequencies. The frequency of a line says how often service is offered along that line within a given time period (e.g., an hour, a day)."@en
MaRDI ID ap Item: Q6674445 ep

Line Concept Costsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineConceptCosts

costs of a line concept
belongs to
Mathematical Formulation c
has facts
contains op Costs ni
contains op Costs of Line Concept ni
contains op Frequency ni
contains op Line Concept ni
contains op Line Costs Computation ni
defining formulation dp "$cost(\mathcal{L},f)=\sum_{l \in \mathcal{L}} f_l \cdot cost_l$"^^La Te X ep
in defining formulation dp "$(\mathcal{L},f)$, Line Concept"^^La Te X ep
in defining formulation dp "$cost(\mathcal{L},f)$,Costs of Line Concept"^^La Te X ep
in defining formulation dp "$cost_l$, Costs"^^La Te X ep
in defining formulation dp "$f_l$, Frequency"^^La Te X ep
description ap "The costs for a line concept summarizing the costs of single lines multiplied by their frequencies."@en
MaRDI ID ap Item: Q6674465 ep

Line Costs Computationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineCostsComputation

sum of all costs of a single line
belongs to
Mathematical Formulation c
has facts
contained in op Line Concept Costs ni
contains op Costs ni
contains op Costs per Unit ni
contains op Duration ni
contains op Fixed Costs ni
contains op Graph Type Identifier ni
contains op Length ni
contains op Period Length ni
contains op Turn Over Time ni
defining formulation dp "$cost_l=costs\_fixed+\sum_{e \in l}\left(costs\_length \cdot length_e + costs\_edges\right) + costs\_vehicles \cdot \lvert x \cdot \frac{duration_l + turn\_over\_time}{period\_length}\rvert$"^^La Te X ep
in defining formulation dp "$cost_l$, Costs"^^La Te X ep
in defining formulation dp "$costs\_edges$, Costs"^^La Te X ep
in defining formulation dp "$costs\_fixed$, Fixed Costs"^^La Te X ep
in defining formulation dp "$costs\_length$, Costs per Unit"^^La Te X ep
in defining formulation dp "$costs\_vehicles$, Costs"^^La Te X ep
in defining formulation dp "$duration_l$, Duration"^^La Te X ep
in defining formulation dp "$length_e$, Length"^^La Te X ep
in defining formulation dp "$period\_length$, Period Length"^^La Te X ep
in defining formulation dp "$turn\_over\_time$, Turn Over Time"^^La Te X ep
in defining formulation dp "$x$,Graph Type Identifier"^^La Te X ep
description ap "The costs of a single line in public transport are made up of various individual costs."@en
MaRDI ID ap Item: Q6674459 ep

Line Planningni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinePlanning

choosing subset of line from line pool to generate a line plan afterwards
belongs to
Research Problem c
has facts
contained in op Transportation Planning ni
described as studied by op Gattermann (2017) Line pool generation ni
described by op Gattermann (2017) Line pool generation ni
MaRDI ID ap Item: Q6684673 ep

Linear Discrete Element Methodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearDiscreteElementMethod

variant of the discrete element method that employs linear contact models for inter-particle forces
belongs to
Mathematical Model c
has facts
contained in op Recurrent Neural Network Surrogate for Discrete Element Method ni
contains op Normal Interaction Force of Two Particles ni
contains op Tangential Interaction Force of Two Particles ni
contains op Torque of Particle ni
specializes op Discrete Element Method ni

Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionDixonModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684584 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionEadieHofsteeModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684586 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionHanesWoolfModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684587 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionLineweaverBurkModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684588 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandMixedCompleteInhibitionDixonModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684589 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandMixedCompleteInhibitionEadieHofsteeModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684591 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandMixedCompleteInhibitionHanesWoolfModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684592 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandMixedCompleteInhibitionLineweaverBurkModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684593 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionDixonModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684594 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionEadieHofsteeModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684596 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionHanesWoolfModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684597 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionLineweaverBurkModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684598 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionDixonModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684599 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionEadieHofsteeModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684601 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionHanesWoolfModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684602 ep

Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearParameterEstimationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionLineweaverBurkModelSteadyStateAssumption

linear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Linear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6684603 ep

Linear Parameter Estimation of Enzyme Kineticsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParameterEstimationOfEnzymeKineticsLinear

linear determination of the kinetic constants for enzyme-catalyzed reactions
belongs to
Computational Task c
has facts
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
DOI ap B978 0 12 801238 3.05143 6 ep
MaRDI ID ap Item: Q6684573 ep

Linear Rotorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearRotor

mathematical model of a linear molecule as a rigid rotor
belongs to
Mathematical Model c
has facts
approximates op Linear Rotor (Non-Rigid) ni
contains op Quantum Eigen Energy (Linear Rigid Rotor) ni
contains op Quantum Hamiltonian (Linear Rotor) ni
specialized by op Linear Rotor (Apolar) ni
specialized by op Linear Rotor (Polar) ni
used by op Quantum Stationary States ni
used by op Quantum Time Evolution ni
MaRDI ID ap Item: Q6675420 ep

Linear Rotor (Apolar)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearRotorApolar

mathematical model of an apolar linear molecule as a rigid rotor, interacting through its induced dipole moment with electric fields
belongs to
Mathematical Model c
has facts
contains op Molecular Alignment ni
contains op Molecular Orientation ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Hamiltonian (Linear Rotor) ni
models op Molecular Rotation ni
specializes op Linear Rotor ni
specializes op Linear Rotor (Combined) ni
used by op Optimal Control ni
used by op Quantum Stationary States ni
used by op Quantum Time Evolution ni
MaRDI ID ap Item: Q6675422 ep

Linear Rotor (Combined)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearRotorCombined

mathematical model of a polar linear molecule as a rigid rotor, interacting through both its permanent and induced electric dipole moment with electric fields
belongs to
Mathematical Model c
has facts
contains op Molecular Alignment ni
contains op Molecular Orientation ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Hamiltonian (Linear Rotor) ni
models op Molecular Rotation ni
specialized by op Linear Rotor (Apolar) ni
specialized by op Linear Rotor (Polar) ni
used by op Optimal Control ni
used by op Quantum Conditional Quasi-Solvability ni
used by op Quantum Stationary States ni
used by op Quantum Time Evolution ni
description ap "Note that under certain circumstances analytical solutions to the TISE are available for a finite number of low energy states (conditional quasi-exact solutions)"@en
MaRDI ID ap Item: Q6675424 ep

Linear Rotor (Non-Rigid)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearRotorNonRigid

modeling a linear molecule as a non-rigid rotor, i.e., the bond between the atoms stretches out as the molecule rotates faster
belongs to
Mathematical Model c
has facts
approximated by op Linear Rotor ni
contains op Quantum Eigen Energy (Linear Non-Rigid Rotor) ni
contains op Quantum Hamiltonian (Non-Rigid Rotor) ni
models op Molecular Rotation ni
used by op Quantum Stationary States ni
used by op Quantum Time Evolution ni
MaRDI ID ap Item: Q6675421 ep

Linear Rotor (Polar)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearRotorPolar

mathematical model of a polar linear molecule as a rigid rotor, interacting through its permanent dipole moment with electric fields
belongs to
Mathematical Model c
has facts
contains op Molecular Alignment ni
contains op Molecular Orientation ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Hamiltonian (Linear Rotor) ni
models op Molecular Rotation ni
specializes op Linear Rotor ni
specializes op Linear Rotor (Combined) ni
used by op Optimal Control ni
used by op Quantum Stationary States ni
used by op Quantum Time Evolution ni
MaRDI ID ap Item: Q6675423 ep

Linear Strainni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinearStrain

relative change of length with respect the original length
belongs to
Quantity c
has facts
contained in op Linear Strain ni
contained in op Young Modulus ni
contains op Change In Length ni
contains op Length ni
contains op Linear Strain ni
specialized by op Fiber Stretch ni
specializes op Mechanical Strain ni
defining formulation dp "$\varepsilon \equiv \frac{\Delta l}{l}$"^^La Te X ep
in defining formulation dp "$\Delta l$, Change In Length"^^La Te X ep
in defining formulation dp "$\varepsilon$, Linear Strain"^^La Te X ep
in defining formulation dp "$l$, Length"^^La Te X ep
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673974 ep
QUDT ID ap Linear Strain ep
Wikidata ID ap Q1990546 ep

Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationforUniUniReactionwithoutProductSteadyStateAssumption

equation for uni uni reaction without product following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1}{V_{max,f}} + \frac{K_S}{V_{max,f}} \frac{1}{c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674468 ep

Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationforUniUniReactionwithoutProductIrreversibilityAssumption

equation for uni uni reaction without product following irreversibility assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1}{V_{max,f}} + \frac{K_S}{V_{max,f}} \frac{1}{c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674466 ep

Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationforUniUniReactionwithoutProductRapidEquilibriumAssumption

equation for uni uni reaction without product following rapid equilibrium assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1}{V_{max,f}} + \frac{K_S}{V_{max,f}} \frac{1}{c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674467 ep

Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without Product and competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1}{V_{max,f}} + \frac{K_S (1 + \frac{c_I}{K_{ic}})}{V_{max,f} c_S}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$,Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$,Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674469 ep

Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and mixed complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1 + \frac{c_I}{K_{iu}}}{V_{max,f}}+ \frac{K_m (1 + \frac{c_I}{K_{ic}})}{V_{max,f} c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674470 ep

Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
similar to op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1 + \frac{c_I}{K_{iu}}}{V_{max,f}}+ \frac{K_m (1 + \frac{c_I}{K_{ic}})}{V_{max,f} c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674471 ep

Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LineweaverBurkEquationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearizes op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$\frac{1}{v_0} = \frac{1 + \frac{c_I}{K_{iu}}}{V_{max,f}} + \frac{K_S}{V_{max,f} c_S}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$,Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$,Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6674472 ep

Link Recommendation Functionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LinkRecommendationFunction

function representing link recommendation
belongs to
Quantity c
has facts
contained in op Rate of Switching Influencers Formulation ni
is dimensionless dp "true"^^boolean
description ap "Link recommendation algorithms are often used to suggest new connections to users that have the greatest potential to be established. In modelling Opinion Dynamics, link recommendation can be incorporated via this function by assuming that individuals have a higher chance of switching to an influencer with a structurally similar followership. Strictly increasing on [0,1]"@en
MaRDI ID ap Item: Q6674047 ep

Liouville-von Neumann Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LiouvilleVonNeumannEquation

describes how a density operator (for pure or for mixed states) evolves in time
belongs to
Mathematical Formulation c
has facts
contains op Imaginary Unit ni
contains op Planck Constant ni
contains op Quantum Density Operator ni
contains op Quantum Hamiltonian (Electric Charge) ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Hamiltonian Operator ni
contains op Time ni
specialized by op Classical Hamilton Equations ni
specialized by op Classical Liouville Equation ni
specialized by op Classical Newton Equation ni
specialized by op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
specialized by op Darwin-Howie-Whelan Equation for a Strained Crystal ni
specialized by op Schrödinger Equation (Time Dependent) ni
specialized by op Schrödinger Equation (Time Independent) ni
defining formulation dp "$\frac{\partial\hat\rho}{\partial t} = -\frac{\mathrm{i}}{\hbar}\left[\hat H, \hat\rho\right]$"^^La Te X ep
in defining formulation dp "$\hat{H}$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$\hat{\rho}$, Quantum Density Operator"^^La Te X ep
in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
in defining formulation dp "$\mathrm{i}$, Imaginary Unit"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
description ap "Just as the Schrödinger equation describes how pure states evolve in time, the Liouville-von Neumann equation describes how a density operator evolves in time. Note that there can be different density operators for pure or for mixed states."@en
description ap "Note the similarity with the classical Liouville equation where the commutator brackets [.,.] are replaced by Poisson brackets {.,.}"@en
alt Label ap "Quantum Liouville Equation"@en
alt Label ap "von Neumann equation"@en
MaRDI ID ap Item: Q6534349 ep
Wikidata ID ap Q2533076 ep

Logical Rule Extraction Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LogicalRuleExtractionFormulation

equation that extracts logical rules by determining the Gröbner basis of an ideal
belongs to
Mathematical Formulation c
has facts
contained in op Extract Logical Rules ni
contains op Boolean Ring ni
contains op Gröbner Basis ni
contains op Ideal ni
defining formulation dp "$G = G(\langle\mathcal{B}\rangle)$"^^La Te X ep
in defining formulation dp "$G$, Gröbner Basis"^^La Te X ep
in defining formulation dp "$\langle\mathcal{B}\rangle$, Ideal"^^La Te X ep
in defining formulation dp "$\mathcal{B}$, Boolean Ring"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674352 ep

Lorentz Force Equation (Non-Relativistic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LorentzForceEquationNonRelativistic

force exerted on a moving electric (point) charge in electromagnetic field (non-relativistic approach)
belongs to
Mathematical Formulation c
has facts
assumes op Nonrelativistic Approximation ni
contained in op Lorentz Force Model (Non-Relativistic) ni
contains op Classical Force ni
contains op Classical Velocity ni
contains op Electric Charge ni
contains op Electric Field ni
contains op Magnetic Field ni
specializes op Lorentz Force Equation (Relativistic) ni
defining formulation dp "$\boldsymbol{F} = q (\boldsymbol{E} + \boldsymbol{v} \times \boldsymbol{B})$"^^La Te X ep
in defining formulation dp "$B$, Magnetic Field"^^La Te X ep
in defining formulation dp "$E$, Electric Field"^^La Te X ep
in defining formulation dp "$F$, Classical Force"^^La Te X ep
in defining formulation dp "$q$, Electric Charge"^^La Te X ep
in defining formulation dp "$v$, Classical Velocity"^^La Te X ep
MaRDI ID ap Item: Q6674479 ep
Wikidata ID ap Q172137 ep

Lorentz Force Equation (Relativistic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LorentzForceEquationRelativistic

force exerted on a moving electric (point) charge in electromagnetic field (relativistic approach)
belongs to
Mathematical Formulation c
has facts
contained in op Lorentz Force Model (Relativistic) ni
contains op Classical Velocity ni
contains op Electric Charge ni
contains op Electric Field ni
contains op Magnetic Field ni
contains op Mass ni
contains op Speed of Light ni
contains op Time ni
specialized by op Lorentz Force Equation (Non-Relativistic) ni
defining formulation dp "$\frac{\mathrm{d} }{\mathrm{d}t} {m\mathbf{v} \over \sqrt{1-\left(\frac{\mathbf{v} }{c}\right)^2} } = q\left ( \mathbf{E} + \mathbf{v} \times \mathbf{B} \right ) $"^^La Te X ep
in defining formulation dp "$B$, Magnetic Field"^^La Te X ep
in defining formulation dp "$E$, Electric Field"^^La Te X ep
in defining formulation dp "$c$, Speed of Light"^^La Te X ep
in defining formulation dp "$m$, Mass"^^La Te X ep
in defining formulation dp "$q$, Electric Charge"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$v$, Classical Velocity"^^La Te X ep
MaRDI ID ap Item: Q6674481 ep
Wikidata ID ap Q172137 ep

Lorentz Force Model (Non-Relativistic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LorentzForceModelNonRelativistic

modeling the motion of "test charges" in electromagnetic fields in terms of the Lorentz force
belongs to
Mathematical Model c
has facts
assumes op Nonrelativistic Approximation ni
contains op Lorentz Force Equation (Non-Relativistic) ni
models op Particles in Electromagnetic Fields ni
specializes op Lorentz Force Model (Relativistic) ni
description ap "Neglecting the fact that real particles would generate their own E and B fields, which would alter the electromagnetic forces that they experience."@en
description ap "Todo: Potential computational task: Calculate E and B fields from a given trajectory"@en
description ap "Todo: Potential computational task: Calculate trajectory from given E and B fields"@en
MaRDI ID ap Item: Q6675428 ep
Wikidata ID ap Q172137 ep

Lorentz Force Model (Relativistic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LorentzForceModelRelativistic

modeling the motion of "test charges" in electromagnetic fields in terms of the Lorentz force
belongs to
Mathematical Model c
has facts
contains op Lorentz Force Equation (Relativistic) ni
models op Particles in Electromagnetic Fields ni
specialized by op Lorentz Force Model (Non-Relativistic) ni
description ap "Neglecting the fact that real particles would generate their own E and B fields, which would alter the electromagnetic forces that they experience."@en
description ap "Todo: Potential computational task: Calculate E and B fields from a given trajectory"@en
description ap "Todo: Potential computational task: Calculate trajectory from given E and B fields"@en
MaRDI ID ap Item: Q6675429 ep
Wikidata ID ap Q172137 ep

Loss Function (Romanization)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LossFunctionRomanization

loss function summing over regions and data points
belongs to
Quantity c
has facts
contained in op Loss Function Minimization ni
contained in op Loss Function (Romanization) ni
contains op Spreading Curve (Approximate) ni
contains op Loss Function (Romanization) ni
contains op Number of Regions ni
contains op Number of Time Points ni
contains op Romanized Cities Vector ni
contains op Contact Network (Time-dependent) ni
contains op Time Point ni
contains op Weight Factor ni
defining formulation dp "$\ell (\sigma ) \equiv \sum _{i=1}^{N_T} \sum _{m=1}^{N_R} \frac{(\omega _{m,t_i} - \phi (t_i| \sigma , \omega _{\bullet , 0}))^2 }{C_{m,t_i}^2}$"^^La Te X ep
in defining formulation dp "$C$, Weight Factor"^^La Te X ep
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
in defining formulation dp "$N_T$, Number of Time Points"^^La Te X ep
in defining formulation dp "$\ell$, Loss Function"^^La Te X ep
in defining formulation dp "$\omega$, Romanized Cities Vector"^^La Te X ep
in defining formulation dp "$\phi$, Spreading Curve (Approximate)"^^La Te X ep
in defining formulation dp "$\sigma$, Contact Network (Time-dependent)"^^La Te X ep
in defining formulation dp "$t_i$, Time Point"^^La Te X ep
is dimensionless dp "true"^^boolean
Wikidata ID ap Q1036748 ep

Loss Function Minimizationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LossFunctionMinimization

minimization of loss function over regions and data points
belongs to
Mathematical Formulation c
has facts
contained in op Romanization Parameter Estimation ni
contains op Contact Network ni
contains op Loss Function (Romanization) ni
contains op Contact Network (Time-dependent) ni
defining formulation dp "$\min _{\sigma =(G, \alpha )} \ell (\sigma )$"^^La Te X ep
in defining formulation dp "$G$, Contact Network"^^La Te X ep
in defining formulation dp "$\ell$, Loss Function"^^La Te X ep
in defining formulation dp "$\sigma$, Contact Network (Time-dependent)"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
MaRDI ID ap Item: Q6674482 ep

Loss Function Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LossFunctionModel

in mathematical optimization, a function (to be minimized) representing the cost of each outcome
belongs to
Mathematical Model c
has facts
contained in op Artificial Neural Network ni
Wikidata ID ap Q1036748 ep

Lumped Activation Parameterni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LumpedActivationParameter

lumped activation parameter
belongs to
Quantity c
has facts
contained in op Electrophysiological Muscle ODE System ni
contains op Fiber Contraction Velocity ni
contains op Fiber Stretch ni
contains op State Vector ni
defining formulation dp "$\gamma \equiv H \left( \mathbf{y}, \lambda_\text{f}, \dot{\lambda}_{\text{f}}\right)$"^^La Te X ep
in defining formulation dp "$\dot{\lambda}_{\text{f}}$, Fibre Contraction Velocity"^^La Te X ep
in defining formulation dp "$\lambda_{\text{f}}$, Fibre stretch"^^La Te X ep
in defining formulation dp "$\mathbf{y}$, State Vector"^^La Te X ep
MaRDI ID ap Item: Q6673952 ep

Lyapunov Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LyapunovEquation

matrix equation used in the stability analysis of linear dynamical systems
belongs to
Mathematical Formulation c
has facts
assumes op Stability Autonomous System ni
contained in op Balanced Truncation ni
contains op Unknown Matrix ni
specialized by op Lyapunov Equation Controllability ni
specialized by op Lyapunov Equation Observability ni
specialized by op Lyapunov Generalized Controllability ni
specialized by op Lyapunov Generalized Observability ni
specializes op Sylvester Equation ni
defining formulation dp "$AX+XA^H+Q=0$"^^La Te X ep
in defining formulation dp "$X$, Unknown Matrix"^^La Te X ep
description ap "Numerical solution of a Lyapunov equation $AX+XA^T+B=0$ via Zhou and Sorensen 2-solve method, implemented as part of the Matrix Equation Sparse Solver (M.E.S.S.) project. Copyright 2009-2022 Jens Saak, Martin Koehler, Peter Benner and others."@en
DOI ap S1110757 X03212055 ep
MaRDI ID ap Item: Q6674141 ep
Wikidata ID ap Q1028945 ep

Lyapunov Equation Controllabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LyapunovEquationControllability

Lyapunov equation used in the stability analysis of linear dynamical systems to determine the controllability
belongs to
Mathematical Formulation c
has facts
contained in op Balanced Truncation (Linear) ni
contains op Control System Matrix A ni
contains op Control System Matrix B ni
contains op Gramian Matrix Controllability ni
similar to op Lyapunov Equation Controllability ni
similar to op Lyapunov Equation Observability ni
specializes op Lyapunov Equation ni
specializes op Lyapunov Generalized Controllability ni
specializes op Sylvester Equation ni
specializes op Sylvester Equation Controllability ni
specializes op Sylvester Generalized Controllability ni
defining formulation dp "$AW_c + W_cA^{*} + BB^{*} = 0$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$W_c$, Gramian Matrix Controllability"^^La Te X ep
description ap "For the solvability of ordinary Lyapunov equations, the stability condition for A is the only requirement."@en
MaRDI ID ap Item: Q6674151 ep

Lyapunov Equation Observabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LyapunovEquationObservability

Lyapunov equation used in the stability analysis of linear dynamical systems to determine the observability
belongs to
Mathematical Formulation c
has facts
contained in op Balanced Truncation (Linear) ni
contains op Control System Matrix A ni
contains op Control System Matrix C ni
contains op Gramian Matrix Observability ni
similar to op Lyapunov Equation Controllability ni
similar to op Lyapunov Equation Observability ni
specializes op Lyapunov Equation ni
specializes op Lyapunov Generalized Observability ni
specializes op Sylvester Equation ni
specializes op Sylvester Equation Observability ni
specializes op Sylvester Generalized Observability ni
defining formulation dp "$A^{*}W_o + W_oA + C^*C = 0$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$C$, Control System Matrix C"^^La Te X ep
in defining formulation dp "$W_o$, Gramian Matrix Observability"^^La Te X ep
description ap "For the solvability of ordinary Lyapunov equations, the stability condition for A is the only requirement."@en
MaRDI ID ap Item: Q6674152 ep

Lyapunov Generalized Controllabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LyapunovGeneralizedControllability

generalized Lyapunov equation used in the stability analysis of linear dynamical systems to determine the controllability
belongs to
Mathematical Formulation c
has facts
contained in op Balanced Truncation (Bi-linear) ni
contains op Control System Matrix A ni
contains op Control System Matrix B ni
contains op Control System Matrix N ni
contains op Gramian Generalized Controllability ni
similar to op Lyapunov Generalized Controllability ni
similar to op Lyapunov Generalized Observability ni
specialized by op Lyapunov Equation Controllability ni
specializes op Lyapunov Equation ni
specializes op Sylvester Equation ni
specializes op Sylvester Generalized Controllability ni
defining formulation dp "$AW_c + W_cA^{*} + \sum_kN_kW_{c}N_k^{*} + BB^{*} = 0$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$W_c$, Gramian Generalized Controllability"^^La Te X ep
description ap "For a numerical solution, one can resort to iterative schemes, which requires the solution of a standard Lyapunov equation in each step. As an alternative, one may use the biconjugate gradient method (with preconditioner) as suggested by Tobias Breiten from TU Graz, Austria, now TU Berlin."@en
description ap "For the solvability of generalized Lyapunov equations, there are two requirements: (1) stability condition for A and (2) suitable upper bound for the norm of N."@en
MaRDI ID ap Item: Q6674145 ep

Lyapunov Generalized Observabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#LyapunovGeneralizedObservability

generalized Lyapunov equation used in the stability analysis of linear dynamical systems to determine the observability
belongs to
Mathematical Formulation c
has facts
contained in op Balanced Truncation (Bi-linear) ni
contains op Control System Matrix A ni
contains op Control System Matrix C ni
contains op Control System Matrix N ni
contains op Gramian Generalized Observability ni
similar to op Lyapunov Generalized Controllability ni
similar to op Lyapunov Generalized Observability ni
specialized by op Lyapunov Equation Observability ni
specializes op Lyapunov Equation ni
specializes op Sylvester Equation ni
defining formulation dp "$A^{*}W_o + W_oA + \sum_k N_k^{*}W_{o}N_k + C^*C = 0$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$C$, Control System Matrix C"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$W_c$, Gramian Generalized Observability"^^La Te X ep
description ap "For a numerical solution, one can resort to iterative schemes, which requires the solution of a standard Lyapunov equation in each step. As an alternative, one may use the biconjugate gradient method (with preconditioner) as suggested by Tobias Breiten from TU Graz, Austria, now TU Berlin."@en
description ap "For the solvability of generalized Lyapunov equations, there are two requirements: (1) stability condition for A and (2) suitable upper bound for the norm of N."@en
MaRDI ID ap Item: Q6674146 ep

Magnetic Fieldni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MagneticField

spatial distribution of vectors allowing the calculation of the magnetic force on a test particle
belongs to
Quantity Kind c
has facts
contained in op Ampere Law ni
contained in op Faraday Law ni
contained in op Gauss Law (Magnetic Field) ni
contained in op Lorentz Force Equation (Non-Relativistic) ni
contained in op Lorentz Force Equation (Relativistic) ni
MaRDI ID ap Item: Q6673690 ep
QUDT ID ap Magnetic Field Strength H ep
Wikidata ID ap Q11408 ep

Mass Action Lawni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MassActionLaw

rate of chemical reaction is directly proportional to the product of the activities or concentrations of the reactants
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (ODE Model) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Concentration ni
contains op Molecularity ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
defining formulation dp "$v = k \prod_{i=1}^{n} c_{i}$"^^La Te X ep
in defining formulation dp "$c_i$, Concentration"^^La Te X ep
in defining formulation dp "$k$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$n$, Molecularity"^^La Te X ep
in defining formulation dp "$v$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674155 ep
Wikidata ID ap Q899494 ep

Mass Balance Lawni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MassBalanceLaw

mass that enters a system must, by conservation of mass, either leave the system or accumulate within the system
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction (ODE Model) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specializes op Conservation Law ni
defining formulation dp "$\delta_t + \nabla F = 0$"^^La Te X ep
MaRDI ID ap Item: Q6674156 ep
Wikidata ID ap Q3276889 ep

Material Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MaterialDensity

measure of how much mass is contained within a given volume of a material
belongs to
Quantity c
has facts
contained in op Electrophysiological Muscle ODE System ni
specializes op Density ni
MaRDI ID ap Item: Q6673953 ep

Material Point Accelerationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MaterialPointAcceleration

acceleration experienced by material points in the Material Point Method
belongs to
Quantity c
has facts
contained in op Electrophysiological Muscle ODE System ni
specializes op Acceleration ni
MaRDI ID ap Item: Q6673954 ep

Material Point Displacementni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MaterialPointDisplacement

movement of material points
belongs to
Quantity c
has facts
contained in op Boundary Conditions of Electrophysiological Muscle ODE System ni
specializes op Displacement ni
specializes op Length ni
description ap "Material Point Displacement in the context of the Material Point Method (MPM) refers to the movement of material points, which are used to track physical information like mass and velocity."@en
MaRDI ID ap Item: Q6673836 ep

Material Point Velocityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MaterialPointVelocity

velocity assigned to each material point within a simulation
belongs to
Quantity c
has facts
contained in op Boundary Conditions of Electrophysiological Muscle ODE System ni
contained in op Electrophysiological Muscle ODE System ni
specializes op Velocity ni
description ap "Material Point Velocity in the context of the Material Point Method (MPM) refers to the velocity assigned to each material point within a simulation."@en
MaRDI ID ap Item: Q6673837 ep

Mathematical Analysis of DHW Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MathematicalAnalysisOfDHWEquation

mathematical analysis of Darwin Howie Whelan equation for the scattering of fast electrons described by the Schrödinger equation.
belongs to
Computational Task c
has facts
uses op Dynamical Electron Scattering Model ni
DOI ap 21 M139164 X ep
MaRDI ID ap Item: Q6684605 ep

Maximal Object Descriptiveness Ratingni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MaimalObjectDescriptivenessRating

maximal rating assigned to an object commonality in terms of object descriptiveness
belongs to
Quantity c
has facts
contained in op Object Rating Formulation ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674056 ep

Maximum Isometric Muscle Forceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MaximumIsometricMuscleForce

greatest force a muscle can generate without changing its length
belongs to
Quantity c
has facts
contained in op Active Contractile Force ni
contained in op Passive Muscle Force ni
contained in op Passive Tendon Force ni
specializes op Force ni
MaRDI ID ap Item: Q6673731 ep

Maximum Likelihood Estimationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MaximumLikelihoodEstimation

estimating the parameters of a statistical model to fit given observations
belongs to
Computational Task c
has facts
specialized by op Maximizing Poisson log-Likelihood ni
MaRDI ID ap Item: Q6684607 ep
Wikidata ID ap Q1045555 ep

Maxwell Equations Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MaxwellEquationsModel

set of four coupled partial differential equations describing how electric and magnetic fields are generated and altered by each other and by charges and currents
belongs to
Mathematical Model c
has facts
assumes op Nonrelativistic Approximation ni
contains op Ampere Law ni
contains op Faraday Law ni
contains op Gauss Law (Electric Field) ni
contains op Gauss Law (Magnetic Field) ni
models op Electromagnetic Fields and Waves ni
specialized by op Multipolar Expansion Model (3D) ni
used by op Far Field Radiation ni
used by op Near Field Radiation ni
description ap "Shalva: Given the charge density ρ(r, t) and the current density j(r, t), Maxwell's equations yield the electric and magnetic fields, E(r, t) and B(r, t). These equations are the simplest representative of a more general class of models, also referred as Maxwell's equations, where ρ(r, t) and j(r, t) should be found from certain additional relations, e.g., from the Ohm's law."@en
description ap "Together with the Lorentz force law, Maxwell's equations form the foundation of classical electromagnetism and optics. The equations provide a mathematical model for electric, optical, and radio technologies."@en
DOI ap rstl.1865.0008 ep
MaRDI ID ap Item: Q6675320 ep
Wikidata ID ap Q51501 ep

Mechanical Deformation (Boundary Value)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MechanicalDeformationBoundaryValue

mechanical deformation at a domain boundary
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic (Dirichlet Boundary) ni
specializes op Mechanical Deformation ni
MaRDI ID ap Item: Q6673844 ep

Mechanical Strainni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MechanicalStrain

in continuum mechanics, strain is defined as the relative deformation of matter caused by mechanical stress
belongs to
Quantity Kind c
has facts
contained in op Hooke Law (Linear Elasticity) ni
nondimensionalizes op Mechanical Deformation ni
specialized by op Fiber Stretch ni
specialized by op Linear Strain ni
specialized by op Passive Muscle Strain ni
MaRDI ID ap Item: Q6673722 ep
QUDT ID ap Strain ep
Wikidata ID ap Q3083131 ep

Mechanical Stressni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MechanicalStress

internal forces caused by deformation of a continuous material
belongs to
Quantity Kind c
has facts
contained in op Hooke Law (Linear Elasticity) ni
specialized by op Eigenstress of Crystal ni
specialized by op Fluid Viscous Stress ni
specialized by op Normal Stress ni
specialized by op Stress of Crystal ni
specialized by op Stress Tensor (Cauchy) ni
specialized by op Stress Tensor (Piola-Kirchhoff) ni
description ap "Has components shear stress, normal stress. These macroscopic forces are actually the net result of a very large number of intermolecular forces and collisions between the constituent atoms or molecules."@en
MaRDI ID ap Item: Q6673723 ep
QUDT ID ap Stress ep
Wikidata ID ap Q206175 ep

Medical Imagingni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MedicalImaging

technique and process of creating visual representations of the interior of a body
belongs to
Research Field c
has facts
contains op Image Denoising ni
MaRDI ID ap Item: Q6684707 ep
Wikidata ID ap Q931309 ep

Medium Follower Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MediumFollowerMatrix

adjacency matrix for medium-follower relations
belongs to
Quantity c
has facts
contained in op Average Opinion of Followers of Media Formulation ni
contained in op Empirical Distribution of Individuals Formulation ni
contained in op Interaction Force on an Individual ni
specializes op Adjacency Matrix ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673769 ep

Medium Influencer Fractionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MediumInfluencerFraction

fraction of individuals following a specific medium and influencer at a given time
belongs to
Quantity c
has facts
contained in op Rate of Switching Influencers Formulation ni
specialized by op Medium Influencer Fraction Limit ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
description ap "Fraction of individuals that follow a specific medium and influencer at a given time."@en
MaRDI ID ap Item: Q6674059 ep

Medium Influencer Fraction Limitni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MediumInfluencerFractionLimit

fraction of individuals following a specific medium and influencer at a given time with total number of Individuals tending to infinity
belongs to
Quantity c
has facts
contained in op Average Opinion of Followers of Infuencers in the Partial Mean Field Model Formulation ni
contained in op Average Opinion of Followers of Media in the Partial Mean Field Model Formulation ni
specializes op Medium Influencer Fraction ni
specializes op Real Number (Dimensionless) ni
MaRDI ID ap Item: Q6673767 ep

Membrane Capacitanceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MembraneCapacitance

how much charge a cell membrane can store when a voltage is applied across it
belongs to
Quantity c
has facts
contained in op Monodomain Equation for Action Potential Propagation ni
contained in op Motor Neuron Pool ODE System ni
specializes op Electric Capacitance ni
MaRDI ID ap Item: Q6674060 ep

Michaelis (1913) Die Kinetik der Invertinwirkungni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Michaelis_1913_Die_Kinetik_der_Invertinwirkung

publication
belongs to
Publication c
has facts
describes op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
describes invention of op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni

Michaelis Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstant

property to characterize the kinetics of Michaelis–Menten reactions
belongs to
Quantity c
has facts
contained in op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
specialized by op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
specialized by op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
specialized by op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
specializes op Concentration ni
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
description ap "Property to characterize the kinetics of Michaelis–Menten reactions"@en
MaRDI ID ap Item: Q6674061 ep
Wikidata ID ap Q61751178 ep

Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstantProductUniUniReactionSteadyStateAssumption

Michaelis constant for the product of an Uni Uni Reaction under the Steady State Assumption
belongs to
Quantity c
has facts
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{P} \equiv \frac{k_{-1} + k_{2}}{k_{-2}}$"^^La Te X ep
in defining formulation dp "$K_{P}$, Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674064 ep

Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantProduct1BiBiReactionOrderedsingleCCSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{P_1} = \frac{k_{-1} k_{-2}}{k_{-5} (k_{-1} + k_{-2})}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674484 ep

Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstantProduct1BiBiReactionOrderedSteadyStateAssumption

Michaelis constant for the product 1 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption
belongs to
Quantity c
has facts
contained in op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{P_1} \equiv \frac{k_{-1} k_{-2} k_{-3}}{k_{-5} (k_{-1} k_{-2} + k_{-1} k_3 + k_{-1} k_{-3} + k_{-2} k_{-3})}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674062 ep

Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantProduct1BiBiReactionPingPongSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{P_1} = \frac{k_{-3} (k_{-1} + k_{2})}{k_{-2} (k_{-1} + k_{-3})}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674485 ep

Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantProduct1BiBiReactionTheorellChanceSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{P_1} = \frac{k_{-1}}{k_{-2}}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674486 ep

Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantProduct2BiBiReactionOrderedsingleCCSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{P_2} = \frac{k_{-1} (k_{-2} + k_4)}{k_{-4} (k_{-1} + k_{-2})}$"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674487 ep

Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstantProduct2BiBiReactionOrderedSteadyStateAssumption

Michaelis constant for the product 2 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption
belongs to
Quantity c
has facts
contained in op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{P_2} \equiv \frac{k_{-1} (k_{-2} k_{4} + k_{-2} k_{-3} + k_3 k_4)}{k_{-5} (k_{-1} k_{-2} + k_{-1} k_3 + k_{-1} k_{-3} + k_{-2} k_{-3})}$"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674063 ep

Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantProduct2BiBiReactionPingPongSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{P_2} = \frac{k_{-1} (k_{-3} + k_{4})}{k_{-4} (k_{-1} + k_{-3})}$"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674488 ep

Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantProduct2BiBiReactionTheorellChanceSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{P_2} = \frac{k_{-1}}{k_{-3}}$"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674489 ep

Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstantSubstrateUniUniReactionIrreversibilityAssumption

Michaelis constant for the substrate of an Uni Uni Reaction under the Irreversibility Assumption
belongs to
Quantity c
has facts
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{S} \equiv \frac{k_2}{k_{1}}$"^^La Te X ep
in defining formulation dp "$K_{S}$, Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673933 ep

Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstantSubstrateUniUniReactionRapidEquilibriumAssumption

Michaelis constant for the substrate of an Uni Uni Reaction under the Rapid Equilibrium Assumption
belongs to
Quantity c
has facts
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{S} \equiv \frac{k_{-1}}{k_{1}}$"^^La Te X ep
in defining formulation dp "$K_{S}$, Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673934 ep

Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstantSubstrateUniUniReactionSteadyStateAssumption

Michaelis constant for the substrate of an Uni Uni Reaction under the Steady State Assumption
belongs to
Quantity c
has facts
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{S} \equiv \frac{k_{-1} + k_{2}}{k_{1}}$"^^La Te X ep
in defining formulation dp "$K_{S}$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673926 ep

Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstantSubstrate1BiBiReactionOrderedSteadyStateAssumption

Michaelis constant for the substrate 1 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption
belongs to
Quantity c
has facts
contained in op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{S_1} \equiv \frac{k_3 k_4 k_5}{k_1 (k_4 k_5 + k_3 k_4 + k_3 k_5 + k_{-3} k_5)}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674065 ep

Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantSubstrate1BiBiReactionOrderedsingleCCSS

Michaelis constant for the substrate 1 of a Bi Bi Reaction with Ordered Mechanism and Single Central Complex under the Steady State Assumption
belongs to
Quantity c
has facts
contained in op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{S_1} \equiv \frac{k_4 k_5}{k_1 (k_4 + k_5)}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674067 ep

Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantSubstrate1BiBiReactionPingPongSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{S_1} = \frac{k_{4} (k_{-1} + k_{2})}{k_{1} (k_{2} + k_{4})}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674490 ep

Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantSubstrate1BiBiReactionTheorellChanceSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{S_1} = \frac{k_{3}}{k_{1}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674491 ep

Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisConstantSubstrate2BiBiReactionOrderedSteadyStateAssumption

Michaelis constant for the substrate 2 of a Bi Bi Reaction with Ordered Mechanism under the Steady State Assumption
belongs to
Quantity c
has facts
contained in op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{S_2} \equiv \frac{k_5 (k_{-2} k_4 + k_{-2} k_{-3} + k_3 k_4)}{k_2 (k_4 k_5 + k_3 k_4 + k_3 k_5 + k_{-3} k_5)}$"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674066 ep

Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantSubstrate2BiBiReactionOrderedsingleCCSS

Michaelis constant for the substrate 2 of a Bi Bi Reaction with Ordered Mechanism and Single Central Complex under the Steady State Assumption
belongs to
Quantity c
has facts
contained in op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Reaction Rate Constant ni
specializes op Concentration ni
specializes op Michaelis Constant ni
defining formulation dp "$K_{S_2} \equiv \frac{k_5 (k_{-2} + k_4)}{k_2 (k_4 + k_5)}$"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674068 ep

Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantSubstrate2BiBiReactionPingPongSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{S_2} = \frac{k_{2} (k_{-3} + k_{4})}{k_{3} (k_{2} + k_{4})}$"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674492 ep

Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenConstantSubstrate2BiBiReactionTheorellChanceSS

constant representing the concentration at which the reaction rate is half of its maximum value
belongs to
Mathematical Formulation c
has facts
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant ni
contains op Reaction Rate Constant ni
defining formulation dp "$K_{S_2} = \frac{k_{3}}{k_{2}}$"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
MaRDI ID ap Item: Q6674493 ep

Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct1SS

equation for bi bi reaction with ordered mechanism and product 1 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Product Concentration ni
contains op Substrate Concentration ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2}}{K_{iP_1}} c_{P_1} + c_{S_1} c_{S_2} + \frac{K_{S_1}}{K_{iP_1}} c_{S_2} c_{P_1}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Product Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674498 ep

Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct1SingleCCSS

equation for bi bi reaction with ordered mechanism and product 1 and Single Central Complex following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Product Concentration ni
contains op Substrate Concentration ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2}}{K_{iP_1}} c_{P_1} + c_{S_1} c_{S_2} + \frac{K_{S_1}}{K_{iP_1}} c_{S_2} c_{P_1}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward)"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674499 ep

Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct2SS

equation for bi bi reaction with ordered mechanism and product 2 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Product Concentration ni
contains op Substrate Concentration ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2} K_{P_1}}{K_{iP_1} K_{P_2}} c_{P_2} + c_{S_1} c_{S_2} + \frac{K_{S_2} K_{P_1}}{K_{iP_1} K_{P_2}} c_{S_1} c_{P_2} + \frac{1}{K_{iP_2}} c_{S_1} c_{S_2} c_{P_2}}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674500 ep

Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProduct2SingleCCSS

equation for bi bi reaction with ordered mechanism and product 2 and Single Central Complex following steady state assumption
belongs to
Mathematical Formulation c
has facts
contains op Inhibition Constant ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Product Concentration ni
contains op Substrate Concentration ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2} K_{P_1}}{K_{iP_1} K_{P_2}} c_{P_2} + c_{S_1} c_{S_2} + \frac{K_{S_2} K_{P_1}}{K_{iP_1} K_{P_2}} c_{S_1} c_{P_2} + \frac{1}{K_{iP_2}} c_{S_1} c_{S_2} c_{P_2}}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward)"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674501 ep

Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProducts1and2SS

equation for bi bi reaction with ordered mechanism and products 1 and 2 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contains op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Product Concentration ni
contains op Substrate Concentration ni
defining formulation dp "$v_0 = \frac{V_{max,f} V_{max,b} (c_{S_1} c_{S_2} - \frac{c_{P_1} c_{P_2}}{K_{eq}})}{V_{max,b} K_{iS_1} K_{S_2} + V_{max,b} K_{S_2} c_{S_1} + V_{max,b} K_{S_1} c_{S_2} + \frac{V_{max,f} K_{P_1}}{K_{eq}} c_{P_2} + \frac{V_{max,f} K_{P_2}}{K_{eq}} c_{P_1} + V_{max,b} c_{S_1} c_{S_2} + \frac{V_{max,f} K_{P_1}}{K_{iS_1} K_{eq}} c_{S_1} c_{P_2} + \frac{V_{max,f}}{K_{eq}} c_{P_1} c_{P_2} + \frac{V_{max,b} K_{S_1}}{K_{iP_1}} c_{S_1} c_{P_1} + \frac{V_{max,b}}{K_{iP_2}} c_{S_1} c_{S_2} c_{P_2} + \frac{V_{max,f}}{K_{iS_2} K_{eq}} c_{S_2} c_{P_1} c_{P_2}}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{eq}$, Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,b}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Product Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Product Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674502 ep

Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithProducts1and2SingleCCSS

equation for bi bi reaction with ordered mechanism and products 1 and 2 and Single Central Complex following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
contains op Concentration ni
contains op Equilibrium Constant ni
contains op Equilibrium Constant (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex) ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Reaction Rate ni
defining formulation dp "$v_0 = \frac{V_1 V_2 (c_{S_1} c_{S_2} - \frac{c_{P_1} c_{P_2}}{K_{eq}})}{V_2 K_{iS_1} K_{S_2} + V_2 K_{S_2} c_{S_1} + V_2 K_{S_1} c_{S_2} + \frac{V_1 K_{P_1}}{K_{eq}} c_{P_2} + \frac{V_1 K_{P_2}}{K_{eq}} c_{P_1} + V_2 c_{S_1} c_{S_2} + \frac{V_1 K_{P_1}}{K_{iS_1} K_{eq}} c_{S_1} c_{P_2} + \frac{V_1}{K_{eq}} c_{P_1} c_{P_2} + \frac{V_2 K_{S_1}}{K_{iP_1}} c_{S_1} c_{P_1} + \frac{V_2}{K_{iP_2}} c_{S_1} c_{S_2} c_{P_2} + \frac{V_1}{K_{iS_2} K_{eq}} c_{S_2} c_{P_1} c_{P_2}}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_1$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward)"^^La Te X ep
in defining formulation dp "$V_2$, Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex)"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674503 ep

Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithoutProductsSS

equation for bi bi reaction with ordered mechanism and without products following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contains op Substrate Concentration ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} +K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + c_{S_1} c_{S_2}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674504 ep

Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionOrderedMechanismwithoutProductsSingleCCSS

equation for bi bi reaction with ordered mechanism without products and Single Central Complex following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
contains op Concentration ni
contains op Inhibition Constant ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contains op Reaction Rate ni
defining formulation dp "$v_0 = \frac{V_1 c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} +K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + c_{S_1} c_{S_2}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_1$, Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward)"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674505 ep

Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationBiBiReactionPingPongMechanismwithProduct1SS

equation for bi bi reaction with ping pong mechanism with product 1 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contains op Concentration ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Reaction Rate ni
similar to op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
similar to op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
specializes op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{V_{1} c_{S_1} c_{S_2}}{K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + c_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2}}{K_{iP_1}} c_{P_1} + \frac{K_{S_2}}{K_{iP_1}} c_{S_1} c_{P_1}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674193 ep

Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionPingPongMechanismwithProduct2SS

equation for bi bi reaction with ping pong mechanism with products 2 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contains op Concentration ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Reaction Rate ni
similar to op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
similar to op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
specializes op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{V_{1} c_{S_1} c_{S_2}}{K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + c_{S_1} c_{S_2} + \frac{K_{S_1} K_{iS_2}}{K_{iP_2}} c_{P_2} + \frac{K_{S_1}}{K_{iP_2}} c_{S_1} c_{P_2}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674198 ep

Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionPingPongMechanismwithProducts1and2SS

equation for bi bi reaction with ping pong mechanism with products 1 and 2 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contains op Concentration ni
contains op Equilibrium Constant ni
contains op Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ni
contains op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Reaction Rate ni
specialized by op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
defining formulation dp "$v_{0} = \frac{V_{1} V_{2} (c_{S_1} c_{S_2} - \frac{c_{P_1} c_{P_2}}{K_{eq}})}{V_{2} K_{S_2} c_{S_1} + V_{2} K_{S_1} c_{S_2} + \frac{V_{1} K_{P_2}}{K_{eq}} c_{P_2} + \frac{V_{1} K_{P_1}}{K_{eq}} c_{P_2} + V_{2} c_{S_1} c_{S_2} + \frac{V_{1} K_{P_2}}{K_{iS_1} K_{eq}} c_{S_1} c_{P_1} +\frac{V_{1}}{K_{eq}} c_{P_1} c_{P_2} + \frac{V_{2} K_{S_1}}{K_{iP_2}} c_{S_2} c_{P_2}}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$V_{2}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674201 ep

Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionPingPongMechanismwithoutProductsSS

equation for bi bi reaction with ping pong mechanism without products following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contains op Concentration ni
contains op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contains op Reaction Rate ni
specializes op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
specializes op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
specializes op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
defining formulation dp "${v_0}=\frac{V_{1}*c_{S_1}*c_{S_2}}{K_{S_2}*c_{S_1}+K_{S_1}*c_{S_2}+c_{S_1}*c_{S_2}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_{0}$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674202 ep

Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionTheorellChanceMechanismwithProduct1SS

equation for bi bi reaction with Theorell-Chance mechanism with product 1 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
contains op Concentration ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
contains op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Reaction Rate ni
defining formulation dp "$v_{0} = \frac{V_1 c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + c_{S_1} c_{S_2} + \frac{K_{S_1} K_{iS_2}}{K_{iP_1}} c_{P_1} + \frac{K_{S_2}}{K_{iP_1}} c_{S_1} c_{P_1}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{iP_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674506 ep

Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionTheorellChanceMechanismwithProduct2SS

equation for bi bi reaction with Theorell-Chance mechanism with product 2 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
contains op Concentration ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
contains op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Reaction Rate ni
defining formulation dp "$v_{0} = \frac{V_1 c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + c_{S_1} c_{S_2} + \frac{K_{iS_1} K_{S_2}}{K_{iP_2}} c_{P_2} + \frac{K_{S_1}}{K_{iP_2}} c_{S_2} c_{P_2}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674507 ep

Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionTheorellChanceMechanismwithProducts1and2SS

equation for bi bi reaction with Theorell-Chance mechanism with products 1 and 2 following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
contains op Concentration ni
contains op Equilibrium Constant ni
contains op Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
contains op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Reaction Rate ni
defining formulation dp "$v_{0} = \frac{V_{1} V_{2} (c_{S_1} c_{S_2} - \frac{c_{P_1} c_{P_2}}{K_{eq}})}{V_2 K_{iS_1} K_{S_2} + V_2 K_{S_2} c_{S_1} + V_2 K_{S_1} c_{S_2} + \frac{V_1 K_{P_2}}{K_{eq}} c_{P_1} + \frac{V_1 K_{P_1}}{K_{eq}} c_{P_2} + V_2 c_{S_1} c_{S_2} + \frac{V_1 K_{P_2}}{K_{iS_1} K_{eq}} c_{S_1} c_{P_1} + \frac{V_2 K_{S_1}}{K_{iP_2}} c_{S_2} c_{P_2} + \frac{V_1}{K_{eq}} c_{P_1} c_{P_2}}$"^^La Te X ep
in defining formulation dp "$K_{P_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{P_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{eq}$, Equilibrium Constant"^^La Te X ep
in defining formulation dp "$K_{iP_2}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$V_{2}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674508 ep

Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforBiBiReactionTheorellChanceMechanismwithoutProductsSS

equation for bi bi reaction with Theorell-Chance mechanism without products following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
contains op Concentration ni
contains op Inhibition Constant ni
contains op Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
contains op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
contains op Michaelis Constant ni
contains op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contains op Reaction Rate ni
defining formulation dp "$v_{0} = \frac{V_1 c_{S_1} c_{S_2}}{K_{iS_1} K_{S_2} + K_{S_2} c_{S_1} + K_{S_1} c_{S_2} + c_{S_1} c_{S_2}}$"^^La Te X ep
in defining formulation dp "$K_{S_1}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{S_2}$, Michaelis Constant"^^La Te X ep
in defining formulation dp "$K_{iS_1}$, Inhibition Constant"^^La Te X ep
in defining formulation dp "$V_{1}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Reaction Rate"^^La Te X ep
MaRDI ID ap Item: Q6674509 ep

Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforUniUniReactionwithProductSteadyStateAssumption

equation for uni uni reaction with product following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Product Concentration ni
contains op Substrate Concentration ni
defining formulation dp "$v_{0}=\frac{\frac{V_{max,f}}{K_{S}}*c_{S}-\frac{V_{max,b}}{K_{P}}*c_{P}}{1+\frac{c_{S}}{K_{S}}+\frac{c_{P}}{K_{P}}}$"^^La Te X ep
in defining formulation dp "$K_{P}$, Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{S}$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,b}$, Limiting Reaction Rate (Uni Uni Reaction - Backward)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_P$, Product Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_{0}$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674510 ep

Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforUniUniReactionwithoutProductSteadyStateAssumption

equation for uni uni reaction without product following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearized by op Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
linearized by op Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
linearized by op Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_{S}}{K_{S} + c_{S}}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674336 ep

Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforUniUniReactionwithoutProductIrreversibilityAssumption

equation for uni uni reaction without product following irreversibility assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
contains op Substrate Concentration ni
linearized by op Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
linearized by op Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
linearized by op Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_{S}}{K_{S} + c_{S}}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674332 ep

Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationforUniUniReactionwithoutProductRapidEquilibriumAssumption

equation for uni uni reaction without product following rapid equilibrium assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contained in op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
contains op Substrate Concentration ni
linearized by op Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
linearized by op Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
linearized by op Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_{S}}{K_{S} + c_{S}}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674334 ep

Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
linearized by op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
linearized by op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
linearized by op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
linearized by op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_S}{c_S + K_S (1 + \frac{c_I}{K_{ic}})}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$,Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674315 ep

Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandCompetitivePartialInhibitionSteadyStateAssumption

equation for uni uni reaction without product and competitive partial inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_S}{K_S \frac{(1+\frac{c_I}{K_{ic}})}{(1+\frac{c_I}{K_{iu}})} + C_S}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$,Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674494 ep

Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandMixedCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and mixed complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearized by op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
linearized by op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
linearized by op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
linearized by op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_S}{K_S (1 + \frac{c_I}{K_{ic}}) + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674317 ep

Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandMixedPartialInhibitionSteadyStateAssumption

equation for uni uni reaction without product and mixed partial inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
similar to op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
similar to op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f} c_I}{K_{iu}}) c_S}{K_S (1 + \frac{c_I}{K_{ic}}) + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
in defining formulation dp "$K_S$, Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$, Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$, Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674495 ep

Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and non-competitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearized by op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
linearized by op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
linearized by op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
linearized by op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
similar to op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
similar to op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_S}{(1 + \frac{c_I}{K_{ic}}) K_S + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674319 ep

Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandNonCompetitivePartialInhibitionSteadyStateAssumption

equation for uni uni reaction without product and non-competitive partial inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
similar to op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
similar to op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f} c_I}{K_{iu}}) c_S}{K_S (1 + \frac{c_I}{K_{ic}}) + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674496 ep

Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionSteadyStateAssumption

equation for uni uni reaction without product and uncompetitive complete inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearized by op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
linearized by op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
linearized by op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
linearized by op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
defining formulation dp "$v_0 = \frac{V_{max,f} c_S}{K_S + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674321 ep

Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MichaelisMentenEquationUniUniReactionwithoutProductandUncompetitivePartialInhibitionSteadyStateAssumption

equation for uni uni reaction without product and uncompetitive partial inhibition following steady state assumption
belongs to
Mathematical Formulation c
has facts
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
defining formulation dp "$v_0 = \frac{(V_{max,f} + \frac{V_{max,I,f}*c_I}{K_{iu}}) c_S}{K_S + (1 + \frac{c_I}{K_{iu}}) c_S}$"^^La Te X ep
in defining formulation dp "$K_S$,Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$V_{max,I,f}$, Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$V_{max,f}$, Limiting Reaction Rate (Uni Uni Reaction - Forward)"^^La Te X ep
in defining formulation dp "$c_I$,Inhibitor Concentration"^^La Te X ep
in defining formulation dp "$c_S$,Substrate Concentration"^^La Te X ep
in defining formulation dp "$v_0$, Initial Reaction Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674497 ep

Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MixedEnzymeInhibitionCouplingConditionUniUniReaction

coupling condition for a mixed enzyme inhibition in an uni uni reaction
belongs to
Mathematical Formulation c
has facts
contained as coupling condition in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
defining formulation dp "$K_{ic} \neq K_{iu}$"^^La Te X ep
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674511 ep

Mobility of Electronsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MobilityOfElectrons

magnitude of the drift velocity of electrons per unit electric field
belongs to
Quantity c
has facts
contained in op Electric Current Density of Electrons ni
description ap "For use in semiconductor physics"@en
MaRDI ID ap Item: Q6673948 ep

Mobility of Holesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MobilityOfHoles

measure of how easily holes can move through the material under the influence of an electric field
belongs to
Quantity c
has facts
contained in op Electric Current Density of Holes ni
description ap "For use in semiconductor physics"@en
MaRDI ID ap Item: Q6673949 ep

Model Order Reductionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ModelOrderReduction

technique in mathematical modeling to effectively reduce the dimensionality of a model
belongs to
Computational Task c
has facts
specialized by op Balanced Truncation ni
specialized by op Balanced Truncation (Bi-linear) ni
specialized by op Balanced Truncation (Linear) ni
specialized by op H2 Optimal Approximation ni
specialized by op H2 Optimal Approximation (Bi-linear) ni
specialized by op H2 Optimal Approximation (Linear) ni
description ap "After spatial discretization of PDEa, solving the resulting large-scale systems of ODEs can therefore become incredibly time-consuming. Developed from well established mathematical theory and robust numerical algorithms, Model Order Reduction (MOR) has been recognized as very efficient for reducing the simulation time of large-scale systems"@en
DOI ap 978 1 4471 5102 9 142 1 ep
MaRDI ID ap Item: Q6684608 ep
Wikidata ID ap Q12202921 ep

Molecular Alignmentni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularAlignment

expectation value indicating in how far molecular axes are parallel to space fxed axes
belongs to
Mathematical Formulation c
has facts
contained in op Linear Rotor (Apolar) ni
contained in op Linear Rotor (Combined) ni
contained in op Linear Rotor (Polar) ni
contained in op Symmetric Top (Combined) ni
contains op Polar Angle ni
contains op Quantum State Vector ni
defining formulation dp "$A = \langle \psi | \cos^2 \theta | \psi \rangle$"^^La Te X ep
in defining formulation dp "$\psi$, Quantum State Vector"^^La Te X ep
in defining formulation dp "$\theta$, Polar Angle"^^La Te X ep
description ap "Typically achieved by the interaction of induced dipole moments with external laser fields"@en
MaRDI ID ap Item: Q6674474 ep

Molecular Dynamicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularDynamics

physical movements of atoms and molecules in a gas, a liquid, a solid, etc
belongs to
Research Problem c
has facts
contained in op Molecular Physics ni
contained in op Physical Chemistry ni
modeled by op Classical Brownian Model ni
modeled by op Classical Dynamics Model ni
modeled by op Classical Langevin Model ni
modeled by op Quantum Classical Model ni
modeled by op Quantum Model (Closed System) ni
modeled by op Quantum Model (Open System) ni
specialized by op Molecular Reaction Dynamics ni
Wikidata ID ap Q901663 ep

Molecular Orientationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularOrientation

expectation value indicating in how far molecular axes point in the same direction as space fxed axes
belongs to
Mathematical Formulation c
has facts
contained in op Linear Rotor (Apolar) ni
contained in op Linear Rotor (Combined) ni
contained in op Linear Rotor (Polar) ni
contained in op Symmetric Top (Combined) ni
contains op Polar Angle ni
contains op Quantum State Vector ni
defining formulation dp "$O = \langle \psi | \cos \theta | \psi \rangle$"^^La Te X ep
in defining formulation dp "$\psi$, Quantum State Vector"^^La Te X ep
in defining formulation dp "$\theta$, Polar Angle"^^La Te X ep
description ap "Typically achieved by the interaction of permanent dipole moments with external electrostatic fields."@en
MaRDI ID ap Item: Q6674475 ep

Molecular Physicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularPhysics

study of the physical properties of molecules and chemical reactions
belongs to
Research Field c
has facts
contains op Molecular Dynamics ni
contains op Molecular Reaction Dynamics ni
contains op Molecular Rotation ni
contains op Molecular Spectroscopy ni
contains op Molecular Spectroscopy (Transient) ni
contains op Molecular Spectrosopy (Stationary) ni
contains op Molecular Vibration ni
description ap "Significant overlaps with physical chemistry, chemical physics, and quantum chemistry"@en
MaRDI ID ap Item: Q6684710 ep
Wikidata ID ap Q489328 ep

Molecular Reaction Dynamicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularReactionDynamics

branch of physical chemistry that deals with observing and understang chemical reactions in real time and on an atomistic basis
belongs to
Research Problem c
has facts
contained in op Molecular Physics ni
contained in op Physical Chemistry ni
modeled by op Classical Dynamics Model ni
modeled by op Quantum Classical Model ni
modeled by op Quantum Model (Closed System) ni
modeled by op Quantum Model (Open System) ni
specializes op Molecular Dynamics ni
description ap "Although there were first attempts in the 1930s (first trajectory calculations for H+H2 reaction calculated by Polanyi in Berlin-Dahlem), this field has strongy evolved since the 1970s and 1980s with the upcoming of short laser pulses."@en
MaRDI ID ap Item: Q6684646 ep

Molecular Rotationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularRotation

rotation of a molecule about its center of mass
belongs to
Research Problem c
has facts
contained in op Molecular Physics ni
modeled by op Linear Rotor (Apolar) ni
modeled by op Linear Rotor (Combined) ni
modeled by op Linear Rotor (Non-Rigid) ni
modeled by op Linear Rotor (Polar) ni
modeled by op Symmetric Top (Combined) ni
specializes op Molecular Spectroscopy ni
description ap "Often, molecules are assumed to rotate like rigid bodies, but there can also be centrifugal distortion."@en
MaRDI ID ap Item: Q6684675 ep
Wikidata ID ap Q1234926 ep

Molecular Spectroscopyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularSpectroscopy

measurement (or simulation) of interactions between electromagnetic waves and matter
belongs to
Research Problem c
has facts
contained in op Molecular Physics ni
contained in op Physical Chemistry ni
specialized by op Molecular Rotation ni
specialized by op Molecular Spectroscopy (Transient) ni
specialized by op Molecular Spectrosopy (Stationary) ni
specialized by op Molecular Vibration ni
description ap "Rotations are collective motions of the atomic nuclei and typically lead to spectra in the microwave and millimeter-wave spectral regions. Vibrations are relative motions of the atomic nuclei and are studied by both infrared and Raman spectroscopy. Electronic excitations are studied using visible and ultraviolet spectroscopy as well as fluorescence spectroscopy"@en
MaRDI ID ap Item: Q6684676 ep
Wikidata ID ap Q1943412 ep

Molecular Spectroscopy (Transient)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularSpectroscopyTransient

observing molecular dynamics by spectroscopy in real time
belongs to
Research Problem c
has facts
contained in op Molecular Physics ni
contained in op Physical Chemistry ni
modeled by op Classical Dynamics Model ni
modeled by op Control System Model ni
modeled by op Control System Model (Bilinear) ni
modeled by op Quantum Classical Model ni
modeled by op Quantum Model (Closed System) ni
modeled by op Quantum Model (Open System) ni
specializes op Molecular Spectroscopy ni
description ap "This discipline evolved since the 1980s, with the upcoming of pico-second, femto-second and eventually even atto-second laser pulses."@en
MaRDI ID ap Item: Q6684647 ep

Molecular Spectrosopy (Stationary)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularSpectrosopyStationary

studying molecular energy levels by stationary, i.e. time-independent molecular spectrosopy
belongs to
Research Problem c
has facts
contained in op Molecular Physics ni
contained in op Physical Chemistry ni
modeled by op Classical Dynamics Model ni
modeled by op Quantum Classical Model ni
modeled by op Quantum Model (Closed System) ni
modeled by op Quantum Model (Open System) ni
specializes op Molecular Spectroscopy ni
description ap "For example, molecular vibrational states can be detected by infrared or Raman spectroscopy"@en
MaRDI ID ap Item: Q6684677 ep

Molecular Vibrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MolecularVibration

periodic motion of the atoms of a molecule around their equilibrium positions
belongs to
Research Problem c
has facts
contained in op Molecular Physics ni
modeled by op Normal Modes ni
modeled by op Normal Modes (Anharmonic) ni
modeled by op Normal Modes (Harmonic) ni
modeled by op Normal Modes (Intermolecular) ni
specializes op Molecular Spectroscopy ni
description ap "Often modeled within the harmonic approximation, but there can be also effects of anharmonicity"@en
MaRDI ID ap Item: Q6684678 ep
Wikidata ID ap Q900121 ep

Molecularityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Molecularity

number of reactant molecular entities that are involved in the 'microscopic chemical event' constituting an elementary reaction
belongs to
Quantity c
has facts
contained in op Mass Action Law ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674057 ep
Wikidata ID ap Q776329 ep

Momentumni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Momentum

conserved physical quantity related to the motion of a body
belongs to
Quantity Kind c
has facts
specialized by op Classical Momentum ni
specialized by op Relativistic Momentum ni
MaRDI ID ap Item: Q6673706 ep
QUDT ID ap Momentum ep
Wikidata ID ap Q41273 ep

Momentum Balance Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MomentumBalanceEquation

in the theory of elasticity, the conservation of momentum can also be written in vector form
belongs to
Mathematical Formulation c
has facts
contained in op Dynamical Electron Scattering Model ni
contains op Eigenstress of Crystal ni
contains op Stress of Crystal ni
defining formulation dp "$\nabla\cdot(\sigma-\sigma^\ast)=0$"^^La Te X ep
in defining formulation dp "$\sigma$, Stress of Crystal"^^La Te X ep
in defining formulation dp "$\sigma^\ast$, Eigenstress of Crystal"^^La Te X ep
description ap "These equations are known as the momentum balance equations because the momentum fluxes are balanced by body and surface forces."@en
MaRDI ID ap Item: Q6674325 ep

Monodomain Equation for Action Potential Propagationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Monodomain_Equation_for_Action_Propagation_Potential

describes the evelution of the transmembrane potential at each sacomeres location i.e. the propagation of the action potential
belongs to
Mathematical Formulation c
has facts
contained in op Action Potential Propagation Model ni
contains op Effective Conductivity ni
contains op Ion Current ni
contains op Membrane Capacitance ni
contains op Time ni
contains op Transmembrane Potential ni
defining formulation dp "$\frac{\partial V^\text{f}_\text{m}}{\partial t} = \frac{1}{C^\text{f}_\text{m}} \left( \frac{1}{A_\text{m}} \sigma_{\text{eff}} \frac{\partial^2 V^{\text{f}}_{\text{m}}}{\partial s^2} - I_\text{ion} (V^{\text{f}}_{\text{m}}, \mathbf{y}) + S(V^{\text{s}}_{\text{m}})\right)~ \text{in} ~ \Omega_{f}$"^^La Te X ep
in defining formulation dp "$C^{\text{f}}_{\text{m}}$, Membrane Capacitance"^^La Te X ep
in defining formulation dp "$I_{\text{ion}}$, Ion Current"^^La Te X ep
in defining formulation dp "$V^{\text{f}}_{\text{m}}$, Transmembrane Potential"^^La Te X ep
in defining formulation dp "$\sigma_{\text{eff}}$, Effective Conductivity"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674596 ep

Mortality Modelingni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MortalityModeling

science of determining likely future mortality rates
belongs to
Research Problem c
has facts
contained in op Demography ni
modeled by op Gamma-Gompertz-Makeham Model ni
MaRDI ID ap Item: Q6684653 ep

Motor Neuron Pool ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Motor_Neuron_Pool_ODE_System

two coupled ODEs which describe the transmembrane potentials
belongs to
Mathematical Formulation c
has facts
contained in op Motor Neuron Pool Model ni
contains op Coupling Current ni
contains op Fiber Contraction Velocity ni
contains op Fiber Stretch ni
contains op Ion Current ni
contains op Membrane Capacitance ni
contains op Neural Input ni
contains op Sensory Organ Current ni
contains op Time ni
contains op Transmembrane Potential ni
defining formulation dp "$\begin{align} \frac{\text{d}V^{\text{d}}_{\text{m}}}{\text{d}t} &= \frac{1}{C^{\text{d}}_{\text{m}}}\left(-I^{\text{d}}_{\text{ion}}(V^{\text{d}}_{\text{m}}) - I^{\text{d}}_{\text{C}}(V^{\text{d}}_{\text{m}},V^{\text{s}}_{\text{m}}) \right) \\ \frac{\text{d}V^{\text{s}}_{\text{m}}}{\text{d}t} &= \frac{1}{C^{\text{s}}_{\text{m}}}\left(-I^{\text{s}}_{\text{ion}}(V^{\text{s}}_{\text{m}}) - I^{\text{s}}_{\text{C}}(V^{\text{d}}_{\text{m}},V^{\text{s}}_{\text{m}}) + I_{\text{spindle}}(\lambda_{\text{f}}, \dot{\lambda}_\text{f}) + I_\text{ext} \right) \\ \end{align}$"^^La Te X ep
in defining formulation dp "$t$, Time"
in defining formulation dp "$C_{\text{m}}$, Membrane Capacitance"^^La Te X ep
in defining formulation dp "$I_{\text{C}}$, Coupling Current"^^La Te X ep
in defining formulation dp "$I_{\text{ext}}$, Neural Input"^^La Te X ep
in defining formulation dp "$I_{\text{ion}}$, Ion Current"^^La Te X ep
in defining formulation dp "$I_{\text{spindle}}$, Sensory Organ Current"^^La Te X ep
in defining formulation dp "$V_{\text{m}}$, Transmembrane Potential"^^La Te X ep
in defining formulation dp "$\lambda_{\text{f}}$, Fibre Contraction Velocity"^^La Te X ep
in defining formulation dp "$\lambda_{\text{f}}$, Fibre Stretch"^^La Te X ep
description ap "Transmembrane potentials in the soma and the dendrite compartments."@en
MaRDI ID ap Item: Q6674513 ep

Multipolar Expansion Model (3D)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MultipolarExpansionModel3D

mathematical series approximating an angle-dependent function
belongs to
Mathematical Model c
has facts
contains op Spherical Harmonics Expansion (3D) ni
models op Electromagnetic Fields and Waves ni
specializes op Maxwell Equations Model ni
used by op Far Field Radiation ni
description ap "Multipole expansions are often used to represent electromagnetic fields, where the fields at distant points are given in terms of sources (charges and/or currents) in a small region (far field limit). The first term is called the monopole moment, the second term is called the dipole moment, the third term the quadrupole moment, etc."@en
MaRDI ID ap Item: Q6675438 ep
Wikidata ID ap Q1027847 ep

Muscle Contraction Velocityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MuscleContractionVelocity

muscle contraction velocity
belongs to
Quantity c
has facts
contained in op Active Contractile Force ni
specializes op Velocity ni
MaRDI ID ap Item: Q6673732 ep

Muscle Lengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MuscleLength

length of a muscle
belongs to
Quantity c
has facts
contained in op Active Contractile Force ni
contained in op Passive Muscle Force ni
specializes op Length ni
MaRDI ID ap Item: Q6673733 ep

Muscle Movementni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MuscleMovement

process in which force is generated within muscle tissue, resulting in a change in muscle geometry
belongs to
Research Problem c
has facts
contained in op Biomechanics ni
modeled by op Electrophysiological Muscle Model ni
modeled by op Hill-Type Two-Muscle-One-Tendon Model ni
modeled by op Sensory Organ Model ni
Wikidata ID ap "https://www.wikidata.org/wiki/Q127006"@en

Muscle Spindle Firing Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#MuscleSpindleFiringRate

frequency at which sensory neurons within the muscle spindle transmit signals to the central nervous system
belongs to
Quantity c
has facts
contained in op Sensory Organ Equation ni
specializes op Frequency ni
specializes op Neural Firing Rate ni
MaRDI ID ap Item: Q6674072 ep

Near Field Radiationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NearFieldRadiation

electromagnetic radiation behaviors that predominate at shorter distances
belongs to
Computational Task c
has facts
uses op Maxwell Equations Model ni
description ap "The near field is a region of the electromagnetic (EM) field around an object, such as a transmitting antenna, or the result of radiation scattering off an object. Non-radiative near-field behaviors dominate close to the antenna or scatterer."@en
MaRDI ID ap Item: Q6684609 ep
Wikidata ID ap Q6984336 ep

Neumann Boundary Conditionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NeumannBoundaryCondition

boundary condition specifying the values of derivatives of a solution of a differential equation along the boundaries of a domain
belongs to
Mathematical Formulation c
has facts
specialized by op Neumann Boundary Condition for Electric Potential ni
specialized by op Neumann Boundary Condition for Electron Fermi Potential ni
specialized by op Neumann Boundary Condition for Hole Fermi Potential ni
specialized by op Neumann Boundary Condition for SEIR Model ni
specialized by op Neumann Boundary Condition (Stress-Free Relaxation) ni
specialized by op Poro-Visco-Elastic (Neumann Boundary) ni
alt Label ap "second-type boundary condition"@en
MaRDI ID ap Item: Q6674517 ep
Wikidata ID ap Q1149279 ep

Neumann Boundary Condition (Stress-Free Relaxation)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NeumannBoundaryConditionStressFreeRelaxation

Neumann boundary condition in theory of elasticity (stress-free relaxation)
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Dynamical Electron Scattering Model ni
contained in op Dynamical Electron Scattering Model ni
contains op Eigenstress of Crystal ni
contains op Stress of Crystal ni
contains op Unit Normal Vector ni
specializes op Neumann Boundary Condition ni
defining formulation dp "$(\sigma-\sigma^\ast)\cdot n=0$"^^La Te X ep
in defining formulation dp "$\sigma$, Stress of Crystal"^^La Te X ep
in defining formulation dp "$\sigma^\ast$, Eigenstress of Crystal"^^La Te X ep
in defining formulation dp "$n$, Normal Unit Vector"^^La Te X ep
MaRDI ID ap Item: Q6674326 ep

Neumann Boundary Condition for Electric Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NeumannBoundaryConditionElectricPotential

typically used to indicate that the electric field should be perpendicalar to an electrode interface
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Drift-Diffusion Model ni
contained as boundary condition in op Electron Shuttling Model ni
contained in op Drift-Diffusion Model ni
contained in op Electron Shuttling Model ni
contained in op Semiconductor Charge Neutrality ni
contains op Electric Potential ni
contains op Electrode Interfaces ni
contains op Time ni
contains op Unit Normal Vector ni
specializes op Neumann Boundary Condition ni
defining formulation dp "$n \cdot \nabla \phi(r,t)|_{\Gamma_N}=0$"^^La Te X ep
in defining formulation dp "$\Gamma_N$, Electrode Interfaces"^^La Te X ep
in defining formulation dp "$\phi$, Electric Potential"^^La Te X ep
in defining formulation dp "$n$, Normal Unit Vector"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6534333 ep

Neumann Boundary Condition for Electron Fermi Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NeumannBoundaryConditionForElectronFermiPotential

Neumann boundary condition for the Fermi potential governing the electrons
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Drift-Diffusion Model ni
contained in op Drift-Diffusion Model ni
contains op Electrode Interfaces ni
contains op Fermi Potential for Electrons ni
contains op Unit Normal Vector ni
specializes op Neumann Boundary Condition ni
defining formulation dp "$n \cdot \nabla \psi|_{\Gamma_N}=0$"^^La Te X ep
in defining formulation dp "$\Gamma_N$, Electrode Interfaces"^^La Te X ep
in defining formulation dp "$\phi_n$, Fermi Potential for Electrons"^^La Te X ep
in defining formulation dp "$n$, Normal Unit Vector"^^La Te X ep
MaRDI ID ap Item: Q6674322 ep

Neumann Boundary Condition for Hole Fermi Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NeumannBoundaryConditionForHoleFermiPotential

Neumann boundary condition for the Fermi potential governing the holes
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Drift-Diffusion Model ni
contained in op Drift-Diffusion Model ni
contains op Electrode Interfaces ni
contains op Fermi Potential for Holes ni
contains op Unit Normal Vector ni
specializes op Neumann Boundary Condition ni
defining formulation dp "$n \cdot \nabla \phi_p|_{\Gamma_N}=0$"^^La Te X ep
in defining formulation dp "$\Gamma_N$, Electrode Interfaces"^^La Te X ep
in defining formulation dp "$\phi_p$, Fermi Potential for Holes"^^La Te X ep
in defining formulation dp "$n$, Normal Unit Vector"^^La Te X ep
MaRDI ID ap Item: Q6674323 ep

Neumann Boundary Condition for SEIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NeumannBoundaryConditionForSEIRModel

Neumann boundary condition for SEIR model
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op PDE SEIR Model ni
contained in op PDE SEIR Model ni
contains op Fraction of Population Density of Exposed ni
contains op Fraction of Population Density of Infectious ni
contains op Fraction of Population Density of Removed ni
contains op Fraction of Population Density of Susceptibles ni
specializes op Neumann Boundary Condition ni
defining formulation dp "$s + e + i + r = 1$"^^La Te X ep
in defining formulation dp "$e$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$i$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$r$, Fraction of Population Density of Removed"^^La Te X ep
in defining formulation dp "$s$, Fraction of Population Density of Susceptibles"^^La Te X ep
description ap "Homogeneous Boundary Condition for the Full-PDe SEIR Model ensure that all the fractions of the population densities of susceptibles, exposed, infectious and removed add up to 1 at all times"@en
MaRDI ID ap Item: Q6674518 ep

Neural Firing Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NeuralFiringRate

average number of electrical impulses, or spikes, a neuron generates per unit of time
belongs to
Quantity c
has facts
specialized by op Muscle Spindle Firing Rate ni
specializes op Frequency ni
MaRDI ID ap Item: Q6674073 ep
Wikidata ID ap Q71762818 ep

Neural Inputni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NeuralInput

neural input in a motor neuron pool model
belongs to
Quantity c
has facts
contained in op Motor Neuron Pool ODE System ni
specializes op Electric Current ni
MaRDI ID ap Item: Q6674070 ep

Nodesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Nodes

set of all nodes in a graph
belongs to
Quantity c
has facts
contained in op Public Transportation Network ni
alt Label ap "Vertices"@en
MaRDI ID ap Item: Q6674074 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q124247078"

Noise Strengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NoiseStrength

noise modelling unknown external influences
belongs to
Quantity c
has facts
contained in op Change in Opinions of Individuals ni
contained in op Change in Opinions of Influencers ni
contained in op Change in Opinions of Influencers in the Partial Mean Field Model ni
contained in op Change in Opinions of Media ni
contained in op Change in Opinions of Media in the Partial Mean Field Model ni
contained in op Limiting Distribution of Individuals Formulation ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
description ap "noise caused by influences, uncertainties in the communication between individuals or free will"@en
MaRDI ID ap Item: Q6673852 ep

Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NoncompetitiveEnzymeInhibitionCouplingConditionUniUniReaction

coupling condition for a non-competitive enzyme inhibition in an uni uni reaction
belongs to
Mathematical Formulation c
has facts
contained as coupling condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained as coupling condition in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Reaction Rate Constant ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
defining formulation dp "$\begin{align} k_{1} &= k_{5} \\ k_{-1} &= k_{-5} \\ k_{-3} &= k_{-4}\\ k_{3} &= k_{4} \\ K_{ic} &= K_{iu}\\ \end{align}$"^^La Te X ep
in defining formulation dp "$K_{ic}$,Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$K_{iu}$,Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$k_1$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_3$,Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_4$,Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_5$,Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-1}$,Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-3}$,Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$,Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-5}$,Reaction Rate Constant"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674519 ep

Non-Local Meansni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonLocalMeans

algorithm in image processing for image denoising
belongs to
Mathematical Formulation c
has facts
contained in op Denoising for Improved Parametric MRI of the Kidney ni
contains op Area of Image ni
contains op Filtered Value of Image ni
contains op Normalization Image Processing ni
contains op Unfiltered Value of Image ni
contains op Weighting Function ni
defining formulation dp "$u(p) = {1 \over C(p)}\int_\Omega v(q) f(p,q)dq$"^^La Te X ep
in defining formulation dp "$C(p)$, Normalization Image Processing"^^La Te X ep
in defining formulation dp "$\Omega$, Area of Image"^^La Te X ep
in defining formulation dp "$f(p,q)$, Weighting Function"^^La Te X ep
in defining formulation dp "$u(p)$, Filtered Value of Image"^^La Te X ep
in defining formulation dp "$v(q)$, Unfiltered Value of Image"^^La Te X ep
DOI ap C V P R.2005.38 ep
MaRDI ID ap Item: Q6674307 ep
Wikidata ID ap Q7048948 ep

Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionWithProductMMSteadyState

nonlinear fit to determine the limiting reaction rates and michaelis constants
belongs to
Computational Task c
has facts
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption) ni
contains op Product Concentration ni
contains op Substrate Concentration ni
contains input op Initial Reaction Rate ni
contains input op Product Concentration ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684610 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionWithoutProductMMIrreversibility

nonlinear fit to determine the limiting reaction rate and michaelis constant
belongs to
Computational Task c
has facts
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contains op Substrate Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684572 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionWithoutProductMMRapidEquilibrium

nonlinear fit to determine the limiting reaction rate and michaelis constant
belongs to
Computational Task c
has facts
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contains op Substrate Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684575 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionWithoutProductMMSteadyState

nonlinear fit to determine the limiting reaction rate and michaelis constant
belongs to
Computational Task c
has facts
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contains op Substrate Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684577 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionwithoutProductandCompetitiveCompleteInhibitionMichaelisMentenModelSteadyStateAssumption

nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Substrate Concentration ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684585 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionwithoutProductandCompetitivePartialInhibitionMichaelisMentenModelSteadyStateAssumption

nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684611 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionwithoutProductandMixedCompleteInhibitionMichaelisMentenModelSteadyStateAssumption

nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684590 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionwithoutProductandMixedPartialInhibitionMichaelisMentenModelSteadyStateAssumption

nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684612 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionwithoutProductandNonCompetitiveCompleteInhibitionMichaelisMentenModelSteadyStateAssumption

nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684595 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionwithoutProductandNonCompetitivePartialInhibitionMichaelisMentenModelSteadyStateAssumption

nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constants
belongs to
Computational Task c
has facts
contains op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684613 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionwithoutProductandUncompetitiveCompleteInhibitionMichaelisMentenModelSteadyStateAssumption

nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant
belongs to
Computational Task c
has facts
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
linearized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684600 ep

Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonlinearParameterEstimationUniUniReactionwithoutProductandUncompetitivePartialInhibitionMichaelisMentenModelSteadyStateAssumption

nonlinear fit to determine the limiting reaction rate, michaelis constant and inhibition constant
belongs to
Computational Task c
has facts
contains op Inhibitor Concentration ni
contains op Initial Reaction Rate ni
contains op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contains op Substrate Concentration ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains input op Inhibitor Concentration ni
contains input op Initial Reaction Rate ni
contains input op Substrate Concentration ni
contains output op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contains output op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contains output op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contains output op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
specializes op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6684614 ep

Nonlinear Parameter Estimation of Enzyme Kineticsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParameterEstimationOfEnzymeKineticsNonlinear

nonlinear determination of the kinetic constants for enzyme-catalyzed reactions
belongs to
Computational Task c
has facts
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Parameter Estimation of Enzyme Kinetics ni
uses op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
uses op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
uses op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
uses op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
uses op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
uses op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
uses op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
uses op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
uses op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
uses op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
uses op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
uses op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
uses op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
uses op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
uses op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
uses op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
is linear dp "false"^^boolean
DOI ap B978 0 12 801238 3.05143 6 ep
MaRDI ID ap Item: Q6684553 ep

Nonrelativistic Approximationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NonrelativisticApproximation

Newtonian dynamics as an approximation to special relativity
belongs to
Mathematical Formulation c
has facts
assumed by op Lorentz Force Equation (Non-Relativistic) ni
assumed by op Lorentz Force Model (Non-Relativistic) ni
assumed by op Maxwell Equations Model ni
contains op Classical Momentum ni
contains op Relativistic Momentum ni
defining formulation dp "$p_{rel} \approx p_{cl}$"^^La Te X ep
in defining formulation dp "$p_{cl}$, Classical Momentum"^^La Te X ep
in defining formulation dp "$p_{rel}$, Relativistic Momentum"^^La Te X ep
MaRDI ID ap Item: Q6674480 ep

Normal Interaction Force of Two Particlesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalInteractionForceOfTwoParticles

force component acting normally at the contact interface between two particles
belongs to
Mathematical Formulation c
has facts
contained in op Coulomb Friction Condition Between Two Particles ni
contained in op Linear Discrete Element Method ni
contains op Damping Coefficient ni
contains op Interaction Force ni
contains op Normal Stiffness ni
contains op Particle Mass ni
contains op Particle Position ni
contains op Particle Radius ni
contains op Particle Velocity ni
contains op Unit Normal Vector ni
contains op Young Modulus ni
defining formulation dp "\begin{align} \boldsymbol F^N_{ij}&=\left(k_{ij}^N\delta_{ij}+d_{ij}^N\dot{\delta}_{ij}\right)\boldsymbol n_{ij}\\ \delta_{ij}&=\langle \boldsymbol x_i - \boldsymbol x_j, \boldsymbol n_{ij}\rangle\\ \dot{\delta}_{ij}&=\langle \boldsymbol v_i - \boldsymbol v_j, \boldsymbol n_{ij}\rangle\\ r_{ij}&=(r_i+r_j)/2\\ k^N_{ij}&=E_N \pi r_{ij} / 2\\ d_{ij}^N&=D_N 2 \sqrt{k^N_{ij}m_{ij}}\\ m_{ij}&=\frac{m_im_j}{m_i + m_j}\\ \boldsymbol n_{ij} &= \frac{\boldsymbol x_i - \boldsymbol x_j}{\lVert \boldsymbol x_i - \boldsymbol x_j \rVert} \end{align}"^^La Te X ep
in defining formulation dp "$D_N$, Damping Coefficient"^^La Te X ep
in defining formulation dp "$E_N$, Young Modulus"^^La Te X ep
in defining formulation dp "$\boldsymbol F^N_{ij}$, Interaction Force"^^La Te X ep
in defining formulation dp "$\boldsymbol n_{ij}\in \mathbb R^3$, Unit Normal Vector"^^La Te X ep
in defining formulation dp "$\boldsymbol v_i\in \mathbb R^3$, Particle Velocity"^^La Te X ep
in defining formulation dp "$\boldsymbol x_i\in \mathbb R^3$, Particle Position"^^La Te X ep
in defining formulation dp "$k_{ij}^N$, Normal Stiffness"^^La Te X ep
in defining formulation dp "$m_i$, Particle Mass"^^La Te X ep
in defining formulation dp "$r_i$, Particle Radius"^^La Te X ep

Normal Mode Coordinateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalModeCoordinate

pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation
belongs to
Quantity c
has facts
contained in op Normal Mode Coordinate (Dimensionless) ni
contained in op Quantum Hamiltonian (Normal Mode, Intermolecular) ni
nondimensionalized by op Normal Mode Coordinate (Dimensionless) ni
description ap "Normal coordinates refer to the positions of atoms away from their equilibrium positions, wrt a normal mode of vibration. Formally, normal modes are determined by solving a secular determinant, and then the normal coordinates can be expressed as a summation over the cartesian coordinates (over the atom positions). The normal modes diagonalize the matrix governing the molecular vibrations."@en
MaRDI ID ap Item: Q6674076 ep
Wikidata ID ap Q112730947 ep

Normal Mode Coordinate (Dimensionless)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalModeCoordinateDimensionless

nondimensionalized positions of atoms away from their equilibrium positions, wrt a normal mode of vibration
belongs to
Quantity c
has facts
contained in op Normal Mode Coordinate (Dimensionless) ni
contained in op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
contained in op Quantum Hamiltonian (Normal Mode, Harmonic) ni
contained in op Vibrational Frequency Shift (1st Order) ni
contained in op Vibrational Frequency Shift (2nd Order) ni
contains op Normal Mode Coordinate ni
contains op Normal Mode Coordinate (Dimensionless) ni
contains op Planck Constant ni
contains op Speed of Light ni
contains op Vibration Frequency (Harmonic) ni
nondimensionalizes op Normal Mode Coordinate ni
defining formulation dp "$\begin{align} q&\equiv&\sqrt{\gamma}Q \\ \gamma&\equiv&\frac{2 \pi c \omega}{\hbar} \end{align}$"^^La Te X ep
in defining formulation dp "$Q$, Normal Mode Coordinate"^^La Te X ep
in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
in defining formulation dp "$\omega$, Vibration Frequency (Harmonic)"^^La Te X ep
in defining formulation dp "$c$, Speed of Light"^^La Te X ep
in defining formulation dp "$q$, Normal Mode Coordinate (Dimensionless)"^^La Te X ep
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674077 ep

Normal Mode Momentumni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalModeMomentum

canonical momenta, corresponding to the normal mode coordinates used for the description of vibrations of many-body systems, e.g. molecules
belongs to
Quantity c
has facts
contained in op Normal Mode Momentum (Dimensionless) ni
contained in op Quantum Hamiltonian (Normal Mode, Intermolecular) ni
nondimensionalized by op Normal Mode Momentum (Dimensionless) ni
MaRDI ID ap Item: Q6674078 ep
Wikidata ID ap Q112730947 ep

Normal Mode Momentum (Dimensionless)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalModeMomentumDimensionless

dimensionless canonical momenta, corresponding to the normal mode coordinates used for the description of vibrations of many-body systems, e.g. molecules
belongs to
Quantity c
has facts
contained in op Normal Mode Momentum (Dimensionless) ni
contained in op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
contained in op Quantum Hamiltonian (Normal Mode, Harmonic) ni
contains op Normal Mode Momentum ni
contains op Normal Mode Momentum (Dimensionless) ni
contains op Planck Constant ni
contains op Speed of Light ni
contains op Vibration Frequency (Harmonic) ni
nondimensionalizes op Normal Mode Momentum ni
defining formulation dp "$\begin{align} p&\equiv&\frac{1}{\sqrt{\gamma}\hbar}P \\ \gamma&\equiv&\frac{2 \pi c \omega}{\hbar} \end{align}$"^^La Te X ep
in defining formulation dp "$P$, Normal Mode Momentum"^^La Te X ep
in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
in defining formulation dp "$\omega$, Vibration Frequency (Harmonic)"^^La Te X ep
in defining formulation dp "$c$, Speed of Light"^^La Te X ep
in defining formulation dp "$p$, Normal Mode Momentum (Dimensionless)"^^La Te X ep
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674079 ep

Normal Modesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalModes

describing molecular (or other) vibrations of many-body systems in terms of normal modes
belongs to
Mathematical Model c
has facts
contains op Quantum Hamiltonian (Normal Mode) ni
models op Molecular Vibration ni
specialized by op Normal Modes (Anharmonic) ni
specialized by op Normal Modes (Harmonic) ni
specialized by op Normal Modes (Intermolecular) ni
description ap "These coordinates can be constructed by means of the GF (or FG) method by Wilson."@en
MaRDI ID ap Item: Q6675433 ep
Wikidata ID ap Q3333538 ep

Normal Modes (Anharmonic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalModesAnharmonic

molecular (or other) vibrations of many-body systems in terms of normal modes, beyond the harmonic approximation
belongs to
Mathematical Model c
has facts
contains op Quantum Eigen Energy (Anharmonic) ni
contains op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
models op Molecular Vibration ni
specialized by op Normal Modes (Harmonic) ni
specializes op Normal Modes ni
specializes op Normal Modes (Intermolecular) ni
description ap "Describing molecular (or other) vibrations of many-body systems in terms of normal modes, beyond the harmonic approximation"@en
MaRDI ID ap Item: Q6675434 ep

Normal Modes (Harmonic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalModesHarmonic

describing molecular vibrations of many-body systems in terms of normal modes, within the harmonic approximation
belongs to
Mathematical Model c
has facts
contains op Quantum Eigen Energy (Harmonic) ni
contains op Quantum Hamiltonian (Normal Mode, Harmonic) ni
models op Molecular Vibration ni
specializes op Normal Modes ni
specializes op Normal Modes (Anharmonic) ni
specializes op Normal Modes (Intermolecular) ni
MaRDI ID ap Item: Q6675435 ep

Normal Modes (Intermolecular)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalModesIntermolecular

describing molecular vibrations in terms of normal modes, beyond the harmonic approximation, and including intermolecular interactions
belongs to
Mathematical Model c
has facts
contains op Quantum Eigen Energy (Intermolecular) ni
contains op Quantum Hamiltonian (Normal Mode, Intermolecular) ni
models op Molecular Vibration ni
specialized by op Normal Modes (Anharmonic) ni
specialized by op Normal Modes (Harmonic) ni
specializes op Normal Modes ni
description ap "thus describing cluster effects, solvent effects etc."@en
DOI ap tf9605600753 ep
DOI ap zenodo.12805933 ep
MaRDI ID ap Item: Q6675436 ep

Normal Stiffnessni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalStiffness

Proportion of stiffness acting in normal direction with contact between moving objects
belongs to
Quantity c
has facts
contained in op Normal Interaction Force of Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
specializes op Stiffness ni

Normal Stressni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalStress

force component perpendicular to a surface element divided by the area of that surface element
belongs to
Quantity c
has facts
contained in op Young Modulus ni
specializes op Mechanical Stress ni
MaRDI ID ap Item: Q6674058 ep
QUDT ID ap Normal Stress ep
Wikidata ID ap Q11425837 ep

Normalization Image Processingni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NormalizationImageProcessing

normalization used in image processing
belongs to
Quantity c
has facts
contained in op Non-Local Means ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
Wikidata ID ap Q17104971 ep

Number (Dimensionless)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberDimensionless

mathematical object used to count, label, and measure
belongs to
Quantity Kind c
has facts
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673726 ep
Wikidata ID ap Q11563 ep

Number of Exposed Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfExposedIndividuals

number of exposed individuals
belongs to
Quantity c
has facts
contained in op Number of Exposed Individuals Formulation ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674083 ep

Number of Exposed Individuals Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfExposedIndividualsFormulation

equation for the number of exposed individuals
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Coefficient Scaling Infectious to Exposed ni
contains op Number of Infectious Individuals ni
contains op Number of Exposed Individuals ni
defining formulation dp "$\hat{\mathcal{E}}^{(l)} = \Sigma_{\mathcal{E}} \hat{\mathcal{I}}^{(l)}$"^^La Te X ep
in defining formulation dp "$\Sigma_{\mathcal{E}}$, Coefficient Scaling Infectious to Exposed"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{E}}^{(l)}$, Number of Exposed Individuals"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{I}}^{(l)}$, Number of Infectious Individuals"^^La Te X ep
MaRDI ID ap Item: Q6674528 ep

Number of Individuals Tends to Infinity Assumptionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfIndividualsTendsToInfinityAssumption

assumption for the individual number
belongs to
Mathematical Formulation c
has facts
assumed by op Limiting Distribution of Individuals Formulation ni
contains op Total Number of Individuals ni
defining formulation dp "$N \rightarrow \inf$"^^La Te X ep
in defining formulation dp "$N$, Total Number of Individuals"^^La Te X ep
MaRDI ID ap Item: Q6674439 ep

Number of Infected Citiesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfInfectedCities

number of infected cities in region
belongs to
Quantity c
has facts
contained in op Conservation of City Numbers ni
contained in op Initial Number of Infected Cities ni
contained in op Susceptible Cities ODE ni
contained in op Susceptible Infectious Epidemic Spreading ODE System ni
specializes op Infectious ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673879 ep

Number of Infectious Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InfectiousIndividuals

number of infectious individuals
belongs to
Quantity c
has facts
contained in op Constant Population Size ni
contained in op Continuous Rate of Change of Infectious in the SI Model ni
contained in op Continuous Rate of Change of Infectious in the SIR Model ni
contained in op Continuous Rate of Change of Infectious in the SIS Model ni
contained in op Continuous Rate of Change of Removed in the SIR Model ni
contained in op Continuous Rate of Change of Susceptibles in the SI Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIR Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIS Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SI Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIR Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIS Model ni
contained in op Infectious at Time Step n+1 in the SI Model ni
contained in op Infectious at Time Step n+1 in the SIR Model ni
contained in op Infectious at Time Step n+1 in the SIR Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model with Births and Deaths ni
contained in op Initial Condition for the Continuous SI Model and SIS Model ni
contained in op Initial Condition for the Continuous SIR Model ni
contained in op Initial Condition for the Discrete SI Model ni
contained in op Initial Condition for the Discrete SIR Model with and without Births and Deaths ni
contained in op Initial Condition for the Multi-Population SI Model ni
contained in op Initial Condition for the Multi-Population SIR Model ni
contained in op Initial Condition for the Multi-Population SIS Model ni
contained in op Integral of the Population Density Fraction of Exposed (Initial Condition) ni
contained in op Integral of the Population Density Fraction of Infectious (Initial Condition) ni
contained in op Integral of the Population Density Fraction of Susceptibles (Initial Condition) ni
contained in op Number of Exposed Individuals Formulation ni
contained in op Number of Susceptible Individuals Formulation ni
contained in op Removed at Time Step n+1 in the Multi-Population Discrete SIR Model ni
contained in op Removed at Time Step n+1 in the Discrete SIR Model ni
contained in op Removed at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SI Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIR Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SI Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model ni
specializes op Infectious ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673881 ep

Number of Object Propertiesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfObjectProperties

number of object properties
belongs to
Quantity c
has facts
contained in op Object Comparison Formulation ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674084 ep

Number of Objectsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfObjects

number of objects
belongs to
Quantity c
has facts
contained as input in op Sorting Objects ni
contained in op Object Commonality Formulation ni
contained in op Sorting Objects ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674085 ep

Number of Occurrencesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfOccurrences

count of how many times a specific event, value, or element appears within a given context or dataset
belongs to
Quantity c
has facts
contained in op Poisson Distribution ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
description ap "e.g., number of events occurring in a fixed interval of time"@en
MaRDI ID ap Item: Q6674086 ep

Number of Spindlesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfSpindles

number of spindles in a muscle
belongs to
Quantity c
has facts
contained in op Sensory Organ Equation ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
description ap "Muscle spindles are stretch receptors within the body of a skeletal muscle that primarily detect changes in the length of the muscle."@en
MaRDI ID ap Item: Q6674087 ep

Number of Susceptible Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptibleIndividuals

number of susceptible individuals
belongs to
Quantity c
has facts
contained in op Constant Population Size ni
contained in op Continuous Rate of Change of Infectious in the SI Model ni
contained in op Continuous Rate of Change of Infectious in the SIR Model ni
contained in op Continuous Rate of Change of Infectious in the SIS Model ni
contained in op Continuous Rate of Change of Susceptibles in the SI Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIR Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIS Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SI Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIR Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIS Model ni
contained in op Infectious at Time Step n+1 in the SI Model ni
contained in op Infectious at Time Step n+1 in the SIR Model ni
contained in op Infectious at Time Step n+1 in the SIR Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model with Births and Deaths ni
contained in op Initial Condition for the Continuous SI Model and SIS Model ni
contained in op Initial Condition for the Continuous SIR Model ni
contained in op Initial Condition for the Discrete SI Model ni
contained in op Initial Condition for the Discrete SIR Model with and without Births and Deaths ni
contained in op Initial Condition for the Multi-Population SI Model ni
contained in op Initial Condition for the Multi-Population SIR Model ni
contained in op Initial Condition for the Multi-Population SIS Model ni
contained in op Number of Susceptible Individuals Formulation ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SI Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIR Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SI Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model ni
specializes op Integer Number (Dimensionless) ni
specializes op Susceptibles ni
is dimensionless dp "true"^^boolean
description ap "The number of susceptible individuals. When a susceptible and an infectious individual come into "infectious contact", the susceptible individual contracts the disease and transitions to the infectious compartment."@en
MaRDI ID ap Item: Q6673882 ep

Number of Susceptible Individuals Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfSusceptibleIndividualsFormulation

equation for the number of susceptible individuals
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Coefficient Scaling Infectious to Exposed ni
contains op Number of Infectious Individuals ni
contains op Number of Removed Individuals ni
contains op Number of Susceptible Individuals ni
contains op Total Population Size ni
defining formulation dp "$$ \hat{\mathcal{S}}^{(l)} = \hat{\mathcal{N}}^{(l)} - (1 + \Sigma_{\mathcal{E}}) \hat{\mathcal{I}}^{(l)} - \hat{\mathcal{R}}^{(l)} $$"^^La Te X ep
in defining formulation dp "$\Sigma_{\mathcal{E}}$, Coefficient Scaling Infectious to Exposed"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{I}}^{(l)}$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{N}}^{(l)}$, Total Population Size"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{R}}^{(l)}$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$\hat{\mathcal{S}}^{(l)}$, Number of Susceptible Individuals"^^La Te X ep
MaRDI ID ap Item: Q6674529 ep

Number of Time Pointsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#NumberOfTimepoints

total number of time points at which observation were made
belongs to
Quantity c
has facts
contained in op Loss Function (Romanization) ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674050 ep

Objectni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Object

anything that may be observed or acted upon by a subject
belongs to
Quantity Kind c
has facts
contained as input in op Sorting Objects ni
contained in op Object Commonality Formulation ni
contained in op Sorting Objects ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673727 ep
Wikidata ID ap Q488383 ep

Object Cluster Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectClusterFormulation

formulation determining the coherence of object clusters
belongs to
Mathematical Formulation c
has facts
contained in op Sorting Objects ni
contains op Object Cluster Matrix ni
contains op Object Committor Functions ni
contains op Object Rating Matrix ni
defining formulation dp "$\mathrm{R_c} = (\chi^T\chi)^{-1}\chi^T\mathrm{R}\chi$"^^La Te X ep
in defining formulation dp "$\chi$, Object Committor Functions"^^La Te X ep
in defining formulation dp "$\mathrm{R_c}$, Object Cluster Matrix"^^La Te X ep
in defining formulation dp "$\mathrm{R}$, Object Rating Matrix"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674530 ep

Object Cluster Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectClusterMatrix

matrix giving insight into the coherence of object clusters
belongs to
Quantity c
has facts
contained as output in op Sorting Objects ni
contained in op Object Cluster Formulation ni
contained in op Sorting Objects ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674088 ep

Object Committor Function Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectCommittorFunctionFormulation

formulation determining the object commitor functions
belongs to
Mathematical Formulation c
has facts
contained in op Sorting Objects ni
contains op Object Committor Functions ni
contains op Second Eigenvalue of Orthogonal Matrix ni
defining formulation dp "$\chi = [u*_2, 1 - u*_2]$"^^La Te X ep
in defining formulation dp "$\chi$, Object Committor Functions"^^La Te X ep
in defining formulation dp "$u*_2$, Second Eigenvalue of Orthogonal Matrix"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674531 ep

Object Committor Functionsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectCommittorFunctions

non-negative vectors whose values correspond to the probability to end up in some property when starting the process in some object
belongs to
Quantity c
has facts
contained as output in op Sorting Objects ni
contained in op Object Cluster Formulation ni
contained in op Object Committor Function Formulation ni
contained in op Sorting Objects ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674089 ep

Object Commonality Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectCommonalityFormulation

function defining the entries in the object commonality matrix
belongs to
Mathematical Formulation c
has facts
contained in op Sorting Objects ni
contains op Number of Objects ni
contains op Object ni
contains op Object Commonality Matrix ni
contains op Object Property ni
defining formulation dp "$M_{i,j} = f(o_i) \odot f(o_j) for i,j in N$"^^La Te X ep
in defining formulation dp "$N$, Number of Objects"^^La Te X ep
in defining formulation dp "$\mathbf{M}$,Object Commonality Matrix"^^La Te X ep
in defining formulation dp "$f(o)$, Object Property"^^La Te X ep
in defining formulation dp "$o$, Object"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674532 ep

Object Commonality Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectCommonalityMatrix

matrix containing object property commonalities of all object pairs
belongs to
Quantity c
has facts
contained as output in op Sorting Objects ni
contained in op Object Commonality Formulation ni
contained in op Object Rating Formulation ni
contained in op Sorting Objects ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674092 ep

Object Comparison Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectComparisonFormulation

boolean ring over object properties
belongs to
Mathematical Formulation c
has facts
contained in op Object Comparison Model ni
contains op Boolean Ring ni
contains op Number of Object Properties ni
contains op Object Property ni
contains op Power Set ni
defining formulation dp "$\mathcal{B} = \mathcal{P}(x_1,x_2,...,x_m)$"^^La Te X ep
in defining formulation dp "$\mathcal{B}$, Boolean Ring"^^La Te X ep
in defining formulation dp "$\mathcal{P}$, Power Set"^^La Te X ep
in defining formulation dp "$m$, Number of Object Properties"^^La Te X ep
in defining formulation dp "$x$, Object Property"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674533 ep

Object Comparison Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectComparisonModel

mathematical model comparing objects using a boolean ring over the object properties
belongs to
Mathematical Model c
has facts
contains op Object Comparison Formulation ni
described as invented by op Weber (2022) The Mathematics of Comparing Objects ni
described by op Weber (2022) The Mathematics of Comparing Objects ni
models op Identify Destruction Rules in Ancient Egyptian Objects ni
models op Sort Ancient Egyptian Objects ni
used by op Extract Logical Rules ni
used by op Sorting Objects ni
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675403 ep

Object Propertyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectProperty

property of an object
belongs to
Quantity c
has facts
contained as input in op Sorting Objects ni
contained in op Object Commonality Formulation ni
contained in op Object Comparison Formulation ni
contained in op Sorting Objects ni
specializes op Boolean Variable ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673834 ep

Object Rating Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectRatingFormulation

formulation rating the object commonalities
belongs to
Mathematical Formulation c
has facts
contained in op Sorting Objects ni
contains op Maximal Object Descriptiveness Rating ni
contains op Object Commonality Matrix ni
contains op Object Rating Matrix ni
defining formulation dp "$f: \mathbf{M}\rightarrow\mathbf{R}: f(s)=y, \ s\in\mathbf{M},\ y\in\{\mathbf{R}| 0 \leq y \leq score_{max}\}$"^^La Te X ep
in defining formulation dp "$\mathbf{M}$, Object Commonality Matrix"^^La Te X ep
in defining formulation dp "$\mathbf{R}$, Object Rating Matrix"^^La Te X ep
in defining formulation dp "$score_{max}$, Maximal Object Descriptiveness Rating"^^La Te X ep
is deterministic dp "false"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
MaRDI ID ap Item: Q6674534 ep

Object Rating Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectRatingMatrix

matrix rating the descriptiveness of the object commonalities
belongs to
Quantity c
has facts
contained as output in op Sorting Objects ni
contained in op Object Cluster Formulation ni
contained in op Object Rating Formulation ni
contained in op Object Rating Matrix Decomposition (Schur) ni
contained in op Sorting Objects ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674090 ep

Object Rating Matrix Decomposition (Schur)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ObjectRatingMatrixDecompositionSchur

Schur decomposition of the object rating matrix
belongs to
Mathematical Formulation c
has facts
contained in op Sorting Objects ni
contains op Object Rating Matrix ni
contains op Orthogonal Matrix ni
contains op Upper-Triangular Matrix ni
defining formulation dp "$\mathbf{R} = \mathbf{U}\mathbf{V}\mathbf{U^T}$"^^La Te X ep
in defining formulation dp "$\mathbf{R}$, Object Rating Matrix"^^La Te X ep
in defining formulation dp "$\mathbf{U}$, Orthogonal Matrix"^^La Te X ep
in defining formulation dp "$\mathbf{V}$, Upper-Triangular Matrix"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
MaRDI ID ap Item: Q6674535 ep
Wikidata ID ap Q1064218 ep

Ohm Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OhmEquation

Ohm's law for transport of electric charge
belongs to
Mathematical Formulation c
has facts
contained in op Charge Transport Model ni
contains op Electric Conductivity ni
contains op Electric Current Density ni
contains op Electric Field ni
specializes op Transport Equation ni
defining formulation dp "$J=\sigma E$"^^La Te X ep
in defining formulation dp "$E$, Electric Field"^^La Te X ep
in defining formulation dp "$J$, Electric Current Density"^^La Te X ep
in defining formulation dp "$\sigma$, Electric Conductivity"^^La Te X ep
description ap "Note that the formulation used here is a generalization of the well-known R=U/I."@en
MaRDI ID ap Item: Q6674255 ep
Wikidata ID ap Q41591 ep

Oosterhout (2024) Finite-strain poro-visco-elasticity with degenerate mobilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Oosterhout_2024_Finite-strain_poro-visco-elasticity_with_degenerate_mobility

publication
belongs to
Publication c
has facts
DOI ap zamm.202300486 ep

Opinion Dynamicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OpinionDynamics

modelling opinion dynamics under the impact of influencer and media strategies
belongs to
Research Problem c
has facts
contained in op Computational Social Science ni
modeled by op Opinion Model with Influencers and Media ni
modeled by op Partial Mean Field Opinion Model ni
MaRDI ID ap Item: Q6684679 ep

Opinion Model with Influencers and Mediani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OpinionModelWithInfluencersAndMedia

general opinion model considering individuals, traditional media and social media influencers
belongs to
Mathematical Model c
has facts
assumes op Pair Function Assumption ni
contains op Average Opinion of Followers of Infuencers Formulation ni
contains op Average Opinion of Followers of Media Formulation ni
contains op Change in Opinions of Individuals ni
contains op Change in Opinions of Influencers ni
contains op Change in Opinions of Media ni
contains op Interaction Force on an Individual ni
contains op Interaction Weight Between Individuals ni
contains op Rate of Switching Influencers Formulation ni
described as documented by op Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategies ni
described by op Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategies ni
models op Opinion Dynamics ni
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "General opinion model resulting from a large number of individuals adapting their opinions through interaction with each other as well as due to the influence of a few specific agents with particular roles, namely traditional media and social media influencers."@en
MaRDI ID ap Item: Q6675330 ep

Opinion Vector of Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OpinionVectorOfIndividuals

vector containing opinions for individuals
belongs to
Quantity c
has facts
contained in op Average Opinion of Followers of Infuencers Formulation ni
contained in op Average Opinion of Followers of Media Formulation ni
contained in op Change in Opinions of Individuals ni
contained in op Interaction Weight Between Individuals ni
specializes op Opinion ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673764 ep

Opinion Vector of Influencersni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OpinionVectorOfInfluencers

vector containing opinions for influencers
belongs to
Quantity c
has facts
contained in op Change in Opinions of Individuals ni
specializes op Opinion ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673853 ep

Opinion Vector of Mediani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OpinionVectorOfMedia

vector containing opinions for media agents
belongs to
Quantity c
has facts
contained in op Change in Opinions of Individuals ni
specializes op Opinion ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673854 ep

Optimal Controlni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControl

branch of control theory that deals with finding a control for a dynamical system over a period of time such that an objective function is optimized
belongs to
Computational Task c
has facts
contains op Control System Input ni
contains op Optimal Control Backward ni
contains op Optimal Control Constraint ni
contains op Optimal Control Cost ni
contains op Optimal Control Final ni
contains op Optimal Control Forward ni
contains op Optimal Control Initial ni
contains op Optimal Control Target ni
contains op Optimal Control Update ni
contains constraint condition op Optimal Control Constraint ni
contains final condition op Optimal Control Final ni
contains initial condition op Optimal Control Initial ni
contains objective op Optimal Control Cost ni
contains objective op Optimal Control Target ni
contains output op Control System Input ni
uses op Classical Fokker Planck Model ni
uses op Control System Model ni
uses op Control System Model (Bilinear) ni
uses op Electron Shuttling Model ni
uses op Linear Rotor (Apolar) ni
uses op Linear Rotor (Combined) ni
uses op Linear Rotor (Polar) ni
uses op Quantum Model (Closed System) ni
uses op Quantum Model (Open System) ni
uses op Symmetric Top (Combined) ni
description ap "Finding controls, e.g. external forces|fields, such that they drive a given control system from a given initial state to a specific final state (target), typically with constraints such as using not too high fields (cost)."@en
arXiv ID ap 0707.1883 ep
DOI ap j.cpc.2018.02.022 ep
DOI ap R01 ep
MaRDI ID ap Item: Q6534338 ep
Wikidata ID ap Q1971426 ep

Optimal Control Backwardni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlBackward

Lagrange multipliers of control systems are propagated backward via the adjoint of the input equation
belongs to
Mathematical Formulation c
has facts
contained in op Optimal Control ni
contains op Control System Input ni
contains op Control System Lagrange Multiplier ni
contains op Control System Matrix A ni
contains op Control System Matrix B ni
contains op Control System Matrix N ni
contains op Time ni
defining formulation dp "$\dot{z}(t)=-(A^{\dagger}+ \sum_ku_k(t)N^{\dagger}_k)z(t)-B^{\dagger}u(t)$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
in defining formulation dp "$z$, Control System Lagrange Multiplier"^^La Te X ep
MaRDI ID ap Item: Q6674536 ep

Optimal Control Constraintni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlConstraint

Constraint functional in optimal control systems requiring that the system's state vector follows the respective equation of motion
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Optimal Control ni
contained in op Optimal Control ni
contains op Control System Duration ni
contains op Control System Input ni
contains op Control System Lagrange Multiplier ni
contains op Control System Matrix A ni
contains op Control System Matrix N ni
contains op Control System State ni
contains op Time ni
defining formulation dp "$J[u,x,z]=2\Re\int_0^Tdtz^{\dagger}(t)\left(\partial_t-A-\sum_ku_k(t)N_k\right)x(t)$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$T$, Control System Duration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
in defining formulation dp "$z$, Control System Lagrange Multiplier"^^La Te X ep
MaRDI ID ap Item: Q6674541 ep

Optimal Control Costni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlCost

cost functional in optimal control
belongs to
Quantity c
has facts
contained as objective in op Optimal Control ni
contained in op Optimal Control ni
contained in op Optimal Control Cost ni
contains op Control System Duration ni
contains op Control System Input ni
contains op Optimal Control Cost ni
contains op Optimal Control Penalty Factor ni
contains op Time ni
defining formulation dp "$J[u] \equiv \sum_k\alpha_k\int_0^Tdtu_k^2(t)$"^^La Te X ep
in defining formulation dp "$J$, Optimal Control Cost"^^La Te X ep
in defining formulation dp "$T$, Control System Duration"^^La Te X ep
in defining formulation dp "$\alpha$, Optimal Control Penalty Factor"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
description ap "Minimizes the cost of the control of a system, e.g. minimize the fluence of a laser field"@en
MaRDI ID ap Item: Q6674096 ep

Optimal Control Finalni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlFinal

final condition for the (backward) propagation of the Lagrange multiplier of a control system
belongs to
Mathematical Formulation c
has facts
contained as final condition in op Optimal Control ni
contained in op Optimal Control ni
contains op Control System Duration ni
contains op Control System Lagrange Multiplier ni
contains op Control System Matrix D ni
contains op Control System State ni
contains op Time ni
defining formulation dp "$z(t=T)$=Dx(t=T)$"^^La Te X ep
in defining formulation dp "$D$, Control System Matrix D"^^La Te X ep
in defining formulation dp "$T$, Control System Duration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
in defining formulation dp "$z$, Control System Lagrange Multiplier"^^La Te X ep
MaRDI ID ap Item: Q6674539 ep

Optimal Control Forwardni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlForward

state vectors of control systems are propagated forward via the input equation
belongs to
Mathematical Formulation c
has facts
contained in op Optimal Control ni
contains op Control System Input ni
contains op Control System Matrix A ni
contains op Control System Matrix B ni
contains op Control System Matrix N ni
contains op Control System State ni
contains op Time ni
defining formulation dp "$\dot{x}(t)=(A+ \sum_ku_k(t)N_k)x(t)+Bu(t)$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
MaRDI ID ap Item: Q6674537 ep

Optimal Control Initialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlInitial

initial condition for the (forward) propagation of the state vector of a control system
belongs to
Mathematical Formulation c
has facts
contained as initial condition in op Optimal Control ni
contained in op Optimal Control ni
contains op Control System State ni
contains op Initial Control State ni
contains op Time ni
defining formulation dp "$x(t=0)=x_0$"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
in defining formulation dp "$x_0$, Initial Control State"^^La Te X ep
MaRDI ID ap Item: Q6674540 ep

Optimal Control Penalty Factorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlPenaltyFactor

used to balance between the two objectives: maximizing the target function[al] versus minimizing the cost function[al]
belongs to
Quantity c
has facts
contained in op Optimal Control Cost ni
contained in op Optimal Control Update ni
description ap "In optrimal control theory, a penalty factor can be used to balance between the two objectives: maximizing the target function[al] versus minimizing the cost function[al]"@en
MaRDI ID ap Item: Q6674098 ep

Optimal Control Targetni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlTarget

target functional in optimal control
belongs to
Quantity c
has facts
contained as objective in op Optimal Control ni
contained in op Optimal Control ni
contained in op Optimal Control Target ni
contains op Control System Duration ni
contains op Control System Input ni
contains op Control System Matrix D ni
contains op Control System State ni
contains op Optimal Control Target ni
defining formulation dp "$J[u,x] \equiv x^{\dagger}(T)Dx(T)$"^^La Te X ep
in defining formulation dp "$D$, Control System Matrix D"^^La Te X ep
in defining formulation dp "$J$, Optimal Control Target"^^La Te X ep
in defining formulation dp "$T$, Control System Duration"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
description ap "Maximize the quadratic output of a given control system"@en
MaRDI ID ap Item: Q6674097 ep

Optimal Control Updateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimalControlUpdate

updated control is calculated from state vector and Lagrange multiplier of a control system
belongs to
Mathematical Formulation c
has facts
contained in op Optimal Control ni
contains op Control System Input ni
contains op Control System Lagrange Multiplier ni
contains op Control System Matrix N ni
contains op Control System State ni
contains op Optimal Control Penalty Factor ni
contains op Time ni
defining formulation dp "$u_k(t)=-\frac{1}{\alpha_k}\Im\left(z^{\dagger}(t)N_kx(t) \right)$"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N"^^La Te X ep
in defining formulation dp "$\alpha$, Optimal Control Penalty Factor"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$u$, Control System Input"^^La Te X ep
in defining formulation dp "$x$, Control System State"^^La Te X ep
in defining formulation dp "$z$, Control System Lagrange Multiplier"^^La Te X ep
MaRDI ID ap Item: Q6674538 ep

Optimization in Public Transportationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OptimizationInPublicTransportation

using mathematical models and algorithms to improve the efficiency and effectiveness of transportation systems
belongs to
Research Field c
has facts
described as studied by op Gattermann (2017) Line pool generation ni
described by op Gattermann (2017) Line pool generation ni
MaRDI ID ap Item: Q6684711 ep

Orthogonal Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OrthogonalMatrix

real square matrix whose columns and rows are orthogonal unit vectors
belongs to
Quantity c
has facts
contained as output in op Sorting Objects ni
contained in op Object Rating Matrix Decomposition (Schur) ni
contained in op Sorting Objects ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674094 ep
Wikidata ID ap Q333871 ep

Overall Distribution of Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OverallDistributionOfIndividuals

pattern or arrangement of individuals within a population across a given area or space
belongs to
Quantity c
has facts
contained in op Attraction Force at Opinion Formulation ni
contained in op Overall Distribution of Individuals Formulation ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673757 ep

Overall Distribution of Individuals Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#OverallDistributionOfIndividualsFormulation

equation for the overall distribution of individuals
belongs to
Mathematical Formulation c
has facts
contained in op Partial Mean Field Opinion Model ni
contains op Limiting Distribution of Individuals ni
contains op Overall Distribution of Individuals ni
defining formulation dp "$\rho = \Sigma_{m,l} \rho_{m,l}$"^^La Te X ep
in defining formulation dp "$\rho$, Overall Distribution of Individuals"^^La Te X ep
in defining formulation dp "$rho_{m,l}$, Limiting Distribution of Individuals"^^La Te X ep
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674542 ep

Pair Functionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PairFunction

non-negative pair function used to weight interaction between two individuals
belongs to
Quantity c
has facts
contained in op Attraction Force at Opinion Formulation ni
contained in op Interaction Weight Between Individuals ni
contained in op Pair Function Assumption ni
contained in op Rate of Switching Influencers Formulation ni
description ap "Non-negative pair function used to weight interaction between two individuals, e.g., placing exponentially more weight on close-by individuals or having interactions irrespective of the opinion distance between individuals."@en
MaRDI ID ap Item: Q6673758 ep

Pair Function Assumptionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PairFunctionAssumption

pair function weighting social influence via distance in opinion space
belongs to
Mathematical Formulation c
has facts
assumed by op Opinion Model with Influencers and Media ni
contains op Pair Function ni
defining formulation dp "$\phi(x) = \exp(-x)$"^^La Te X ep
in defining formulation dp "$\phi(x)$, Pair Function"^^La Te X ep
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674543 ep

Parameter Estimation of Enzyme Kineticsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParameterEstimationOfEnzymeKinetics

determination of the kinetic constants for enzyme-catalyzed reactions
belongs to
Computational Task c
has facts
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specialized by op Linear Parameter Estimation of Enzyme Kinetics ni
specialized by op Nonlinear Parameter Estimation of Enzyme Kinetics ni
uses op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
uses op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
uses op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
uses op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
uses op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
uses op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
uses op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
uses op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
uses op Uni Uni Reaction (ODE Model) ni
DOI ap B978 0 12 801238 3.05143 6 ep
MaRDI ID ap Item: Q6684554 ep

Parameter to Scale Attractive Force from Influencersni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParameterToScaleAttractiveForceFromInfluencers

parameter to scale attractive force from influencers
belongs to
Quantity c
has facts
contained in op Attraction Force at Opinion Formulation ni
contained in op Interaction Force on an Individual ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673759 ep

Parameter to Scale Attractive Force from Mediani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParameterToScaleAttractiveForceFromMedia

parameter to scale attractive force from media
belongs to
Quantity c
has facts
contained in op Attraction Force at Opinion Formulation ni
contained in op Interaction Force on an Individual ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673760 ep

Parameter to Scale Attractive Force from Other Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParameterToScaleAttractiveForceFromOtherIndividuals

parameter to scale attractive force from other individuals
belongs to
Quantity c
has facts
contained in op Attraction Force at Opinion Formulation ni
contained in op Interaction Force on an Individual ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673761 ep

Partial Mean Field Opinion Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PartialMeanFieldOpinionModel

opinion model considering many individuals and few traditional media and social media influencers
belongs to
Mathematical Model c
has facts
contains op Attraction Force at Opinion Formulation ni
contains op Average Opinion of Followers of Infuencers in the Partial Mean Field Model Formulation ni
contains op Average Opinion of Followers of Media in the Partial Mean Field Model Formulation ni
contains op Change in Opinions of Influencers in the Partial Mean Field Model ni
contains op Change in Opinions of Media in the Partial Mean Field Model ni
contains op Empirical Distribution of Individuals Formulation ni
contains op Limiting Distribution of Individuals Formulation ni
contains op Overall Distribution of Individuals Formulation ni
described as documented by op Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategies ni
described by op Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategies ni
models op Opinion Dynamics ni
description ap "For situations with many individuals but few influencers and media, one can derive the mean-field limit by a partial differential equation (PDE) that describes the opinion dynamics of individuals in the limit of infinitely many individuals but is usually already a good approximation to the dynamics for finitely many individuals. Since here the number of influencers and media is still small and finite, their dynamics are still best described by SDEs but now coupled to PDEs for the evolution of the opinion distributions of individuals."@en
MaRDI ID ap Item: Q6675326 ep

Particle Flux Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParticleFluxDensity

time derivative of particle fluence
belongs to
Quantity c
has facts
contained in op Continuity Equation ni
specialized by op Diffusion Flux ni
specialized by op Flux of Electrons ni
specialized by op Flux of Holes ni
description ap "Particle Flux Density"@en
alt Label ap "Fluence Rate"@en
alt Label ap "Particle Fluence Rate"@en
alt Label ap "Time Derivative of Particle Fluence"@en
MaRDI ID ap Item: Q6673886 ep
Wikidata ID ap Q98497410 ep

Particle Massni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParticleMass

mass of a particle
belongs to
Quantity c
has facts
contained in op Normal Interaction Force of Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
specializes op Mass ni

Particle Number Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParticleNumberDensity

number of particles per volume
belongs to
Quantity c
has facts
contained in op Continuity Equation ni
specialized by op Density of Electrons ni
specialized by op Density of Holes ni
specialized by op Fluid Density ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673887 ep
Wikidata ID ap Q98601569 ep

Particle Positionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParticlePosition

position of a particle
belongs to
Quantity c
has facts
contained in op Normal Interaction Force of Two Particles ni
contained in op Torque of Particle ni
specializes op Position ni

Particle Radiusni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParticleRadius

radius of a particle in a potential multi-particle system
belongs to
Quantity c
has facts
contained in op Normal Interaction Force of Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
contained in op Torque of Particle ni
specializes op Radius ni
MaRDI ID ap Item: Q6674080 ep

Particle Velocityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParticleVelocity

velocity of a particle in a potential multi-particle system
belongs to
Quantity c
has facts
contained in op Normal Interaction Force of Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
specializes op Velocity ni
MaRDI ID ap Item: Q6674081 ep

Particles in Electromagnetic Fieldsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ParticlesInElectroMagneticFields

motion of charged particles subject to an electric and/or magnetic fields, e.g. in a cathode ray tube, in an ion trap, or in a mass spectrometer
belongs to
Research Problem c
has facts
contained in op Electromagnetism ni
modeled by op Lorentz Force Model (Non-Relativistic) ni
modeled by op Lorentz Force Model (Relativistic) ni
MaRDI ID ap Item: Q6684674 ep

Passive Muscle Forceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PassiveMuscleForce

force developed in noncontracting or inactive muscles by the elastic elements within the muscle
belongs to
Quantity c
has facts
contained in op Hill-Type Two-Muscle-One-Tendon ODE System ni
contained in op Passive Muscle Force ni
contains op Maximum Isometric Muscle Force ni
contains op Muscle Length ni
contains op Passive Muscle Force ni
contains op Passive Muscle Strain ni
contains op Stress Free Muscle Length ni
contains op Time ni
defining formulation dp "$F_{\text{PME}}(\mathcal{l}_{\text{M}}) \equiv F^\text{M}_0 \frac{\exp\left(\frac{k_{\text{PE}}}{\epsilon^{\text{M}}_0}\left(\frac{\mathcal{l_{\text{M}}(t)}}{\mathcal{l}_{\text{M}}^{\text{slack}}}-1\right)\right)-1}{\exp(k_{\text{PE}})-1}$"^^La Te X ep
in defining formulation dp "$F^{\text{M}}_0$, Maximum Isometric Muscle Force"^^La Te X ep
in defining formulation dp "$F_{\text{PME}}$, Passive Muscle Force"^^La Te X ep
in defining formulation dp "$\epsilon^{M}_0$, Passive Muscle Strain"^^La Te X ep
in defining formulation dp "$\mathcal{l}^{\text{slack}}_{\text{M}}$, Stress Free Muscle Length"^^La Te X ep
in defining formulation dp "$\mathcal{l}_{\text{M}}$, Muscle Length"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674010 ep

Passive Muscle Strainni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PassiveMuscleStrain

passive muscle strain
belongs to
Quantity c
has facts
contained in op Passive Muscle Force ni
specializes op Mechanical Strain ni
MaRDI ID ap Item: Q6674099 ep

Passive Tendon Forceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PassiveTendonForce

force that a tendon can generate without the muscle actively contracting
belongs to
Quantity c
has facts
contained in op Hill-Type Two-Muscle-One-Tendon ODE System ni
contained in op Passive Tendon Force ni
contains op Maximum Isometric Muscle Force ni
contains op Passive Tendon Force ni
contains op Tendon Length ni
contains op Tendon Strain ni
defining formulation dp "$F_{\mathrm{PTE}}(\mathcal{l}_{\mathrm{T}}(t)) \equiv \begin{cases} F_0^{\mathrm{M}} 0.10377(\exp(91-\epsilon_{\mathrm{T}}(t))-1) \ & \mathrm{if} \ 0 \leq \epsilon_{\mathrm{T}}(t) \leq 0.01516 \\ F_0^{\mathrm{M}} (37.526 \epsilon_{\mathrm{T}}(t) - 0.26029 ) \ & \mathrm{if} \ 0.01516 <\epsilon_{\mathrm{T}}(t) < 0.1 \end{cases}$"^^La Te X ep
in defining formulation dp "$F_0^{\text{M}}$, Maximum Isometric Muscle Force"^^La Te X ep
in defining formulation dp "$F_{\text{PTE}}$, Passive Tendon Force"^^La Te X ep
in defining formulation dp "$\epsilon_{\text{T}}$, Tendon Strain"^^La Te X ep
in defining formulation dp "$\mathcal{l}_{\text{T}}$, Tendon Length"^^La Te X ep
description ap "Concrete values are fitted on experimental studies, see DOI link"@en
DOI ap ms 7 19 2016 ep
MaRDI ID ap Item: Q6674125 ep

PDE SEIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HybridPDEODESEIRModel

spatial spreading model of susceptible, exposed, infectious, and removed individuals
belongs to
Mathematical Model c
has facts
contains op Allee Effect ni
contains op Fraction of Population Density of Exposed Formulation ni
contains op Fraction of Population Density of Infectious Formulation ni
contains op Fraction of Population Density of Susceptibles Formulation ni
contains op Homogeneous Neumann Boundary Conditions ni
contains op Integral of the Population Density Fraction of Exposed (Initial Condition) ni
contains op Integral of the Population Density Fraction of Infectious (Initial Condition) ni
contains op Integral of the Population Density Fraction of Susceptibles (Initial Condition) ni
contains op Integral of the Total Population Density (Initial Condition) ni
contains op Isotropic Gaussian Function Formulation ni
contains op Neumann Boundary Condition for SEIR Model ni
contains op Number of Exposed Individuals Formulation ni
contains op Number of Susceptible Individuals Formulation ni
contains op Rate of Change of Population Density Fraction of Exposed PDE ni
contains op Rate of Change of Population Density Fraction of Infectious PDE ni
contains op Rate of Change of Population Density Fraction of Removed PDE ni
contains op Rate of Change of Population Density Fraction of Susceptibles PDE ni
contains op SEIR Derivative Relation ni
contains op Total Population Density Formulation ni
contains boundary condition op Allee Effect ni
contains boundary condition op Neumann Boundary Condition for SEIR Model ni
contains initial condition op Integral of the Population Density Fraction of Exposed (Initial Condition) ni
contains initial condition op Integral of the Population Density Fraction of Infectious (Initial Condition) ni
contains initial condition op Integral of the Population Density Fraction of Susceptibles (Initial Condition) ni
contains initial condition op Integral of the Total Population Density (Initial Condition) ni
models op Spreading of Infectious Diseases ni
description ap "Spatial spreading model of SEIR(Susceptible, Exposed, Infectious, and Removed) type in a domain $\Omega \subset \mathbb{R}^2$ modeling both the SEIR dynamics and spatial diffusion of infectious individuals. Employing Partial differential equations."@en
MaRDI ID ap Item: Q6675146 ep

Period Lengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PeriodLength

length of a period in time units
belongs to
Quantity c
has facts
contained in op Line Costs Computation ni
specializes op Time ni
MaRDI ID ap Item: Q6674045 ep

Periodic Boundary Condition for Electric Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PeriodicBoundaryConditionElectricField

periodic boundary condition for electric potential, e.g., for modeling devices with repeated units
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Electron Shuttling Model ni
contained in op Electron Shuttling Model ni
contained in op Semiconductor Charge Neutrality ni
contains op Electric Potential ni
contains op Length of Unit Cell ni
contains op Time ni
specializes op Periodic Boundary Conditions ni
defining formulation dp "$\phi(r,t)=\phi(r+L,t)$"^^La Te X ep
in defining formulation dp "$L$, Length of Unit Cell"^^La Te X ep
in defining formulation dp "$\phi$, Electric Potential"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
description ap "Example: The SiQbus electron shuttling device contains periodically repeated unit cells with four clavier gates each."@en
MaRDI ID ap Item: Q6534337 ep

Periodic Boundary Conditionsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PeriodicBoundaryConditions

set of boundary conditions which are often chosen for approximating a large (infinite) system by using a small part called a unit cell
belongs to
Mathematical Formulation c
has facts
specialized by op Periodic Boundary Condition for Electric Potential ni
description ap "When an object passes through one side of the unit cell, it re-appears on the opposite side with the same velocity. In topological terms, the space made by one-dimensional PBCs can be thought of as being mapped onto a circle. The space made by two-dimensional PBCs can be thought of as being mapped onto a torus."@en
MaRDI ID ap Item: Q6674544 ep
Wikidata ID ap Q2992284 ep

Permeability (Vacuum)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PermeabilityVacuum

strength of the magnetic field induced by an electric current
belongs to
Quantity c
has facts
contained in op Ampere Law ni
contained in op Speed of Light ni
is physical constant dp "true"^^boolean
description ap "The magnetic permeability in a classical vacuum. It is a physical constant that quantifies the strength of the magnetic field induced by an electric current."@en
alt Label ap "Magnetic Constant"@en
MaRDI ID ap Item: Q6673739 ep
QUDT ID ap Magnetic Constant ep
Wikidata ID ap Q1515261 ep

Permittivity (Dielectric)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PermittivityDielectric

measure of the electric polarizability of a dielectric material
belongs to
Quantity c
has facts
contained as input in op Semiconductor Charge Neutrality ni
contained in op Laplace Equation for the Electric Potential ni
contained in op Permittivity (Relative) ni
contained in op Poisson Equation for the Electric Potential ni
contained in op Poisson Equation for the Electric Potential (Finite Volume) ni
contained in op Semiconductor Charge Neutrality ni
nondimensionalized by op Permittivity (Relative) ni
similar to op Electric Polarizability ni
similar to op Permittivity (Dielectric) ni
specialized by op Permittivity (Vacuum) ni
description ap "In electromagnetism, the absolute permittivity, often simply called permittivity is a measure of the electric polarizability of a dielectric material. It is given as the product of the vacuum dielectric permittivity and the relative permittivity of the material. Permittivities may be complex and frequency-dependent."@en
MaRDI ID ap Item: Q6534318 ep
QUDT ID ap Permittivity ep
Wikidata ID ap Q211569 ep

Permittivity (Relative)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PermittivityRelative

permittivity of a material expressed as a ratio with the electric permittivity of a vacuum
belongs to
Quantity c
has facts
contained in op Permittivity (Relative) ni
contains op Permittivity (Dielectric) ni
contains op Permittivity (Relative) ni
contains op Permittivity (Vacuum) ni
nondimensionalizes op Permittivity (Dielectric) ni
defining formulation dp "$\varepsilon_{\mathrm{r}} \equiv \frac{\varepsilon}{\varepsilon_0}$"^^La Te X ep
in defining formulation dp "$\varepsilon$, Permittivity (Dielectric)"^^La Te X ep
in defining formulation dp "$\varepsilon_0$, Permittivity (Vacuum)"^^La Te X ep
in defining formulation dp "$\varepsilon_{\mathrm{r}}$, Permittivity (Relative)"^^La Te X ep
description ap "The relative permittivity (in older texts, dielectric constant) is the permittivity of a material expressed as a ratio with the electric permittivity of a vacuum. A dielectric is an insulating material, and the dielectric constant of an insulator measures the ability of the insulator to store electric energy in an electrical field. Permittivities may be complex and frequency-dependent."@en
MaRDI ID ap Item: Q6674103 ep
Wikidata ID ap Q4027242 ep

Permittivity (Vacuum)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PermittivityVacuum

physical constant that represents the capability of the vacuum to permit electric field lines
belongs to
Quantity c
has facts
contained as constant in op Semiconductor Charge Neutrality ni
contained as constant in op Semiconductor Current Voltage ni
contained as constant in op Semiconductor Thermal Equilibrium ni
contained in op Ampere Law ni
contained in op Gauss Law (Electric Field) ni
contained in op Permittivity (Relative) ni
contained in op Semiconductor Charge Neutrality ni
contained in op Semiconductor Current Voltage ni
contained in op Semiconductor Thermal Equilibrium ni
contained in op Speed of Light ni
specializes op Permittivity (Dielectric) ni
is physical constant dp "true"^^boolean
description ap "Vacuum permittivity is the value of the absolute dielectric permittivity of classical vacuum. It is an ideal (baseline) physical constant."@en
alt Label ap "distributed capacitance of the vacuum"@en
alt Label ap "electric constant"@en
MaRDI ID ap Item: Q6673740 ep
QUDT ID ap Electric Constant ep
Wikidata ID ap Q6158 ep

Physical Chemistryni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PhysicalChemistry

subdiscipline at the intersection of physics and chemistry, describing chemical concepts utilizing the principles of physics
belongs to
Research Field c
has facts
contains op Molecular Dynamics ni
contains op Molecular Reaction Dynamics ni
contains op Molecular Spectroscopy ni
contains op Molecular Spectroscopy (Transient) ni
contains op Molecular Spectrosopy (Stationary) ni
specialized by op Chemical Reaction Kinetics ni
specialized by op Enzyme Kinetics ni
description ap "Note that the distinction between Physical Chemistry and Chemical Physics is not always straight-forward to define."@en
MaRDI ID ap Item: Q133773 ep
Wikidata ID ap Q11372 ep

Pi Numberni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PiNumber

ratio of circumference and the diameter of a circle
belongs to
Quantity c
has facts
contained in op Gaussian Distribution ni
contained in op Isotropic Gaussian Function Formulation ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
is mathematical constant dp "true"^^boolean
alt Label ap "Archimedes' Constant"@en
MaRDI ID ap Item: Q6674003 ep
Wikidata ID ap Q167 ep

Planck Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PlanckConstant

quantum of action in quantum mechanics
belongs to
Quantity c
has facts
contained as constant in op Quantum Time Evolution ni
contained in op Liouville-von Neumann Equation ni
contained in op Normal Mode Coordinate (Dimensionless) ni
contained in op Normal Mode Momentum (Dimensionless) ni
contained in op Quantum Eigen Energy (Harmonic) ni
contained in op Quantum Lindblad Equation ni
contained in op Quantum Momentum Operator ni
contained in op Quantum Time Evolution ni
contained in op Schrödinger Equation (Time Dependent) ni
contained in op Schrödinger Equation (Lie-Trotter) ni
contained in op Schrödinger Equation (Second Order Differencing) ni
contained in op Schrödinger Equation (Strang-Marchuk) ni
contained in op de Broglie Wavelength ni
specializes op Angular Momentum ni
is physical constant dp "true"^^boolean
description ap "a physical constant that is the quantum of action in quantum mechanics. The Planck constant was first described as the proportionality constant between the energy of a photon and the frequency of its associated electromagnetic wave."@en
MaRDI ID ap Item: Q6534302 ep
QUDT ID ap Planck Constant ep
Wikidata ID ap Q122894 ep

Poisson Distributionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoissonDistribution

discrete probability distribution that models the number of events occurring in a fixed interval of time or space, given a constant mean rate of occurrence
belongs to
Quantity c
has facts
contained in op Poisson-Distributed Deaths ni
contained in op Poisson Distribution ni
contains op Euler Number ni
contains op Expectation Value ni
contains op Number of Occurrences ni
contains op Poisson Distribution ni
specializes op Probability Distribution ni
defining formulation dp "$P(k;\lambda)\equiv\frac{\lambda^ke^{-\lambda}}{k!}$"^^La Te X ep
in defining formulation dp "$P$, Poisson Distribution"^^La Te X ep
in defining formulation dp "$\lambda$, Expectation Value"^^La Te X ep
in defining formulation dp "$e$, Euler Number"^^La Te X ep
in defining formulation dp "$k$, Number of Occurrences"^^La Te X ep
description ap "Assuming that these events occur with a known constant mean rate and independently of the time since the last event"@en
MaRDI ID ap Item: Q6674104 ep
Wikidata ID ap Q205692 ep

Poisson Equation for the Electric Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoissonEquationForTheElectricPotential

For use in semiconductor physics, with electron and hole densities
belongs to
Mathematical Formulation c
has facts
contained in op Drift-Diffusion Model ni
contains op Density of Electrons ni
contains op Density of Holes ni
contains op Doping Profile ni
contains op Electric Potential ni
contains op Elementary Charge ni
contains op Fermi Potential for Electrons ni
contains op Fermi Potential for Holes ni
contains op Permittivity (Dielectric) ni
discretized by op Poisson Equation for the Electric Potential (Finite Volume) ni
specialized by op Laplace Equation for the Electric Potential ni
specializes op Gauss Law (Electric Field) ni
defining formulation dp "$-\nabla\cdot\left(\epsilon_s\nabla\psi\right) = q\left(C+p(\psi,\phi_p)-n(\psi,\phi_n)\right)$"^^La Te X ep
in defining formulation dp "$C$, Doping Profile"^^La Te X ep
in defining formulation dp "$\epsilon_s$, Permittivity (Dielectric)"^^La Te X ep
in defining formulation dp "$\phi_n$, Fermi Potential for Electrons"^^La Te X ep
in defining formulation dp "$\phi_p$, Fermi Potential for Holes"^^La Te X ep
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
in defining formulation dp "$n$, Density of Electrons"^^La Te X ep
in defining formulation dp "$p$, Density of Holes"^^La Te X ep
in defining formulation dp "$q$, Elementary Charge"^^La Te X ep
is dynamic dp "false"^^boolean
is space-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674308 ep

Poisson Equation for the Electric Potential (Finite Volume)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoissonEquationForTheElectricPotentialFiniteVolume

Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system
belongs to
Mathematical Formulation c
has facts
contained in op Scharfetter-Gummel Scheme ni
contains op Control Volume ni
contains op Electric Potential ni
contains op Permittivity (Dielectric) ni
discretizes op Poisson Equation for the Electric Potential ni
specializes op Finite Volume Method ni
defining formulation dp "$-\epsilon_s\left(\frac{\psi_{k+1}-\psi_{k}}{h_{k,k+1}}-\frac{\psi_{k}-\psi_{k-1}}{h_{k-1,k}}\right)=q\left(C_k+p(\psi_k,\phi_{p;k})-n(\psi_k,\phi_{n;k})\right)|\omega_k|$"^^La Te X ep
in defining formulation dp "$\epsilon_s$, Permittivity (Dielectric)"^^La Te X ep
in defining formulation dp "$\omega_k$, Control Volume"^^La Te X ep
in defining formulation dp "$\psi$, Electric Potential"^^La Te X ep
is space-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674356 ep

Poisson log-Likelihoodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoissonLogLikelihood

log-likelihood function of a Poisson distribution
belongs to
Mathematical Formulation c
has facts
contained in op Gamma-Gompertz-Makeham Model ni
contained in op Maximizing Poisson log-Likelihood ni
contains op Age of an Individual ni
contains op Death Count ni
contains op Exposure of an Individual ni
contains op Likelihood Value ni
contains op Risk of Death ni
defining formulation dp "$\log L = \sum_{x}[D(x)\log\mu(x)-E(x)\mu(x)]$"^^La Te X ep
in defining formulation dp "$D$, Death Count"^^La Te X ep
in defining formulation dp "$E$, Exposure of an Individual"^^La Te X ep
in defining formulation dp "$L$, Likelihood Value"^^La Te X ep
in defining formulation dp "$\mu$, Risk of Death"^^La Te X ep
in defining formulation dp "$x$, Age of an Individual"^^La Te X ep
MaRDI ID ap Item: Q6674483 ep

Poisson-Distributed Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoissonDistributedDeaths

Assuming that death counts at age x are Poisson-distributed
belongs to
Mathematical Formulation c
has facts
contained in op Gamma-Gompertz-Makeham Model ni
contains op Age of an Individual ni
contains op Death Count ni
contains op Exposure of an Individual ni
contains op Poisson Distribution ni
contains op Risk of Death ni
defining formulation dp "$D(x)\sim P\left(E(x)\mu(x)\right)$"^^La Te X ep
in defining formulation dp "$D$, Death Count"^^La Te X ep
in defining formulation dp "$E$, Exposure of an Individual"^^La Te X ep
in defining formulation dp "$P$, Poisson Distribution"^^La Te X ep
in defining formulation dp "$\mu$, Risk of Death"^^La Te X ep
in defining formulation dp "$x$, Age of an Individual"^^La Te X ep
MaRDI ID ap Item: Q6674545 ep

Polar Angleni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PolarAngle

angle in the spherical coordinate system
belongs to
Quantity Kind c
has facts
contained in op Molecular Alignment ni
contained in op Molecular Orientation ni
contained in op Spherical Harmonics Expansion (3D) ni
MaRDI ID ap Item: Q6673725 ep
Wikidata ID ap Q116757614 ep

Pomologyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Pomology

branch of botany that studies fruits and their cultivation
belongs to
Research Field c
has facts
contains op Gravitational Effects on Fruit ni
specializes op Biology ni
MaRDI ID ap Item: Q6684706 ep
Wikidata ID ap Q35911 ep

Population Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PopulationDensity

measure of the number of individuals per unit area
belongs to
Quantity c
has facts
contained in op Allee Effect ni
contained in op Rate of Change of Population Density Fraction of Exposed PDE ni
contained in op Rate of Change of Population Density Fraction of Susceptibles PDE ni
specialized by op Fraction of Population Density of Exposed ni
specialized by op Fraction of Population Density of Infectious ni
specialized by op Fraction of Population Density of Removed ni
specialized by op Fraction of Population Density of Susceptibles ni
description ap "Population density is a measure of the number of individuals per unit area, typically expressed as the number of individuals per square kilometer. It is used to study human and animal populations for various administrative and scientific purposes."@en
MaRDI ID ap Item: Q6673737 ep

Poro-Visco-Elastic (Dirichlet Boundary)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticDirichletBoundary

Dirichlet boundary condition for mechanical deformation
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Poro-Visco-Elastic Model ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic Model ni
contains op Mechanical Deformation ni
contains op Mechanical Deformation (Boundary Value) ni
contains op Spatial Variable ni
specializes op Dirichlet Boundary Condition ni
defining formulation dp "$\chi(t,x) = \chi_D(t,x)$"^^La Te X ep
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
in defining formulation dp "$\chi_D$, Mechanical Deformation (Boundary Value)"^^La Te X ep
in defining formulation dp "$x$, Spatial Variable"^^La Te X ep
MaRDI ID ap Item: Q6674247 ep

Poro-Visco-Elastic (Neumann Boundary)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticNeumannBoundary

Neumann boundary condition for mechanical deformation
belongs to
Mathematical Formulation c
has facts
contained as boundary condition in op Poro-Visco-Elastic Model ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic Model ni
contains op Concentration ni
contains op Free Energy Density ni
contains op Mechanical Deformation ni
contains op Spatial Variable ni
contains op Surface Force Density ni
contains op Unit Normal Vector ni
contains op Viscous Dissipation Potential ni
specializes op Neumann Boundary Condition ni
defining formulation dp "$(\partial_{\nabla \chi} \Phi(x,\nabla\chi(t,x),c(t,x)) + \partial_{\nabla\dot\chi}\zeta(x,\nabla\dot\chi(t,x),\nabla\chi(t,x),c(t,x)))\nu - \nabla_s\cdot (\partial_{D^2\chi} H(x,D^2\chi(t,x))\nu) = g(t,x)$"^^La Te X ep
in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
in defining formulation dp "$\nu$, Unit Normal Vector"^^La Te X ep
in defining formulation dp "$\zeta$, Viscous Dissipation Potential"^^La Te X ep
in defining formulation dp "$c$, Concentration"^^La Te X ep
in defining formulation dp "$g$, Surface Force Density"^^La Te X ep
in defining formulation dp "$x$, Spatial Variable"^^La Te X ep
MaRDI ID ap Item: Q6674248 ep

Poro-Visco-Elastic Diffusion Boundary Conditionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticDiffusionBoundaryCondition

Boundary condition for diffusion equation
belongs to
Mathematical Formulation c
has facts
contained in op Calculation of Deformation and Concentration ni
contains op Concentration ni
contains op External Chemical Potential ni
contains op Fluid Intrinsic Permeability (Porous Medium) ni
contains op Hydraulic Conductivity ni
contains op Mechanical Deformation ni
defining formulation dp "$M(\nabla\chi,c)\nabla\partial_c\Phi(x,\nabla\chi,c)\cdot \nu = \kappa(x)(\mu_e(t,x)-\partial_c\Phi(x,\nabla\chi,c))$"^^La Te X ep
in defining formulation dp "$M$, Hydraulic Conductivity"^^La Te X ep
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
in defining formulation dp "$\kappa$, Fluid Intrinsic Permeability (Porous Medium)"^^La Te X ep
in defining formulation dp "$\mu$, External Chemical Potential"^^La Te X ep
in defining formulation dp "$c$, Concentration"^^La Te X ep
MaRDI ID ap Item: Q6674245 ep

Poro-Visco-Elastic Diffusion Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticDiffusionEquation

mathematical formulation for diffusion in poro-visco-elastic models
belongs to
Mathematical Formulation c
has facts
contained in op Calculation of Deformation and Concentration ni
contains op Concentration ni
contains op Free Energy Density ni
contains op Hydraulic Conductivity ni
contains op Mechanical Deformation ni
contains op Time ni
specialized by op Fick Equation ni
defining formulation dp "$\dot c(t,x) = - \nabla\cdot(M(x,\nabla\chi(t,x),c(t,x))\nabla\partial_c\Phi(x,\nabla \chi(t,x),c(t,x)))$"^^La Te X ep
in defining formulation dp "$M$, Hydraulic Conductivity"^^La Te X ep
in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
in defining formulation dp "$c$, Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674246 ep

Poro-Visco-Elastic Evolutionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticEvolution

simulation of coupled mechanical deformation of solids to other physical processes such as heat conduction or diffusion of chemical species
belongs to
Research Problem c
has facts
contained in op Continuum Mechanics ni
modeled by op Poro-Visco-Elastic Model ni
description ap "This is relevant in many applications in thermo-mechanics, solid-state batteries, poroelasticity in biological tissue, hydrogen storage, and elastomeric materials."@en
DOI ap zamm.202300486 ep
MaRDI ID ap Item: Q6684680 ep

Poro-Visco-Elastic Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticModel

mathematical model describing the coupled evolution of the mechanical deformation and the concentration of a species
belongs to
Mathematical Model c
has facts
contains op Poro-Visco-Elastic (Dirichlet Boundary) ni
contains op Poro-Visco-Elastic (Neumann Boundary) ni
contains op Poro-Visco-Elastic Quasistatic Equation ni
contains boundary condition op Poro-Visco-Elastic (Dirichlet Boundary) ni
contains boundary condition op Poro-Visco-Elastic (Neumann Boundary) ni
models op Poro-Visco-Elastic Evolution ni
used by op Calculation of Deformation and Concentration ni
is deterministic dp "true"^^boolean
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "The elastic stresses are given via the derivative of a free energy density function, the viscous stresses are of Kelvin-Voigt type and formulated in terms of a dissipation potental. The evolution of the concentration is given via a diffusion equation that is pulled-back to the reference configuration. The mobility law depends nonlinearly on the deformation gradient and the concentration itself."@en
description ap "The finite mechanical deformation is quasistatic and is formulated in the Lagrangian frame. The total stress consists of elastic and viscous stresses. Moreover, a second-order hyper-stress regularization is taken into account."@en
DOI ap zamm.202300486 ep
MaRDI ID ap Item: Q6675379 ep

Poro-Visco-Elastic Quasistatic Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PoroViscoElasticQuasistaticEquation

equation using linear momentum without inertia for mechanical deformation
belongs to
Mathematical Formulation c
has facts
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic Model ni
contains op Concentration ni
contains op External Force Density ni
contains op Free Energy Density ni
contains op Hyperstress Potential ni
contains op Mechanical Deformation ni
contains op Spatial Variable ni
contains op Time ni
contains op Viscous Dissipation Potential ni
defining formulation dp "$-\nabla\cdot(\partial_{\nabla \chi} \Phi(x,\nabla\chi(t,x),c(t,x)) + \partial_{\nabla\dot\chi}\zeta(x,\nabla\dot\chi(t,x),\nabla\chi(t,x),c(t,x)) - \nabla\cdot \partial_{D^2\chi} H(x,D^2\chi(t,x)))=f(t,x)$"^^La Te X ep
in defining formulation dp "$H$, Hyperstress Potential"^^La Te X ep
in defining formulation dp "$\Phi$, Free Energy Density"^^La Te X ep
in defining formulation dp "$\chi$, Mechanical Deformation"^^La Te X ep
in defining formulation dp "$\zeta$, Viscous Dissipation Potential"^^La Te X ep
in defining formulation dp "$c$, Concentration"^^La Te X ep
in defining formulation dp "$f$, External Force Density"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Spatial Variable"^^La Te X ep
MaRDI ID ap Item: Q6674249 ep

Positionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Position

vector representing the position of a point with respect to a given origin and axes
belongs to
Quantity Kind c
has facts
specialized by op Center of Mass ni
specialized by op Contact Point Of Particles ni
specialized by op Particle Position ni
alt Label ap "Physical Location"@en
MaRDI ID ap Item: Q6673702 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q192388"@en

Power Setni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PowerSet

mathematical set containing all subsets of a given set
belongs to
Quantity c
has facts
contained in op Object Comparison Formulation ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674093 ep
Wikidata ID ap Q205170 ep

Pressureni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Pressure

force applied over an area
belongs to
Quantity Kind c
has facts
contained in op Electrophysiological Muscle ODE System ni
specialized by op Fluid Pressure (Free Flow) ni
specialized by op Fluid Pressure (Porous Medium) ni
MaRDI ID ap Item: Q6673716 ep
QUDT ID ap Pressure ep
Wikidata ID ap Q39552 ep

Probability Distributionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ProbabilityDistribution

statistical function that describes the likelihood of obtaining all possible values that a random variable can take
belongs to
Quantity c
has facts
contained in op Classical Fokker Planck Equation ni
specialized by op Classical Density (Phase Space) ni
specialized by op Gaussian Distribution ni
specialized by op Poisson Distribution ni
description ap "mathematical function that describes the probability of occurrence of different possible outcomes in a (real world or statistical computer) experiment"@en
alt Label ap "Probability Density"@en
MaRDI ID ap Item: Q6673867 ep
Wikidata ID ap Q200726 ep

Product 1 Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product1Concentration

amount of product 1 present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673801 ep

Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product1ConcentrationODEBiBiOrderedsingleCC

ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P_1}}{dt} = k_{5} c_{EP_1} - k_{-5} c_{E} c_{P_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674189 ep

Product 1 Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product1ConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P_1}}{dt} = k_{5} c_{EP_1} - k_{-5} c_{E} c_{P_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{5}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674181 ep

Product 1 Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product1ConcentrationODEBiBiPingPong

ordinary differential equation describing the concentration over time in a ping pong bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P_1}}{dt} = k_{2} c_{ES_1} - k_{-2} c_{E*} c_{P_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E*}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674216 ep

Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product1ConcentrationODEBiBiTheorellChance

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P_1}}{dt} = k_{2} c_{ES_1} c_{S_2} - k_{-2} c_{EP_2} c_{P_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674237 ep

Product 2 Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product2Concentration

amount of product 2 present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673802 ep

Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product2ConcentrationODEBiBiOrderedsingleCC

ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P_2}}{dt} = k_{4} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{-4} c_{EP_1} c_{P_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674190 ep

Product 2 Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product2ConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P_2}}{dt} = k_{4} c_{EP_{1}P_{2}} - k_{-4} c_{EP_1} c_{P_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674182 ep

Product 2 Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product2ConcentrationODEBiBiPingPong

ordinary differential equation describing the concentration over time in a ping pong bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P_2}}{dt} = k_{4} c_{E*S_2} - k_{-4} c_{P_2} c_{E}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E*S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{4}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674217 ep

Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Product2ConcentrationODEBiBiTheorellChance

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P_2}}{dt} = k_{3} c_{EP_2} - k_{-3} c_{E} c_{P_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674238 ep

Product Concentration ODE (Uni Uni Reaction)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ProductConcentrationODEUniUni

ordinary differential equation describing the concentration over time in an uni uni reaction
belongs to
Mathematical Formulation c
has facts
contained in op Uni Uni Reaction ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{P}}{dt}=k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{P}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674546 ep

Proton Electron Mass Rationi back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ProtonElectronMassRatio

proton-to-electron mass ratio
belongs to
Quantity c
has facts
nondimensionalizes op Proton Mass ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674105 ep
QUDT ID ap Value Proton Electron Mass Ratio ep
Wikidata ID ap Q2912520 ep

Proton Massni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ProtonMass

fundamental physical constant giving the proton rest mass
belongs to
Quantity c
has facts
nondimensionalized by op Proton Electron Mass Ratio ni
specializes op Mass ni
MaRDI ID ap Item: Q6674106 ep
QUDT ID ap Proton Mass ep
Wikidata ID ap Q97275155 ep

PTN Lineni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PTNLine

single line in a public transport network (PTN)
belongs to
Quantity c
has facts
contained in op Line Concept ni
specializes op Transport Route ni
MaRDI ID ap Item: Q6674044 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q125209036"

Public Transportation Networkni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#PublicTransportationNetwork

graph given by a set of stops or stations and a set of direct connections between them
belongs to
Mathematical Formulation c
has facts
contains op Edges ni
contains op Nodes ni
described as studied by op Gattermann (2017) Line pool generation ni
described by op Gattermann (2017) Line pool generation ni
defining formulation dp "$PTN=(V,E)$"^^La Te X ep
in defining formulation dp "$E$, Edges"^^La Te X ep
in defining formulation dp "$V$, Nodes"^^La Te X ep
MaRDI ID ap Item: Q6674342 ep
Wikidata ID ap Q18325841 ep

Quantile Function of the Beta Distributionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantileFunctionOfTheBetaDistribution

inverse function of the regularized incomplete beta function
belongs to
Quantity c
has facts
contained in op Free Fall Equation (Non-Uniform Gravitation) ni
MaRDI ID ap Item: Q6673996 ep
Wikidata ID ap Q3489473 ep

Quantum Angular Momentum Operatorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumAngularMomentumOperator

quantum mechanical operator related to rotational symmetry
belongs to
Quantity c
has facts
contained in op Quantum Hamiltonian (Linear Rotor) ni
contained in op Quantum Hamiltonian (Non-Rigid Rotor) ni
contained in op Quantum Hamiltonian (Symmetric Top) ni
specializes op Quantum Mechanical Operator ni
description ap "In quantum mechanics, the angular momentum operator is one of several related operators analogous to classical angular momentum. The angular momentum operator plays a central role in the theory of atomic and molecular physics and other quantum problems involving rotational symmetry."@en
MaRDI ID ap Item: Q6674107 ep
Wikidata ID ap Q1190143 ep

Quantum Classical Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumClassicalModel

hybrid quantum-classical model for a system with fast and slow degrees of freedom
belongs to
Mathematical Model c
has facts
contains op Classical Dynamics Model ni
contains op Initial Classical Momentum ni
contains op Initial Classical Position ni
contains op Initial Quantum State ni
contains op Quantum Model (Closed System) ni
contains op Schrödinger-Newton Equation ni
contains initial condition op Initial Classical Momentum ni
contains initial condition op Initial Classical Position ni
contains initial condition op Initial Quantum State ni
models op Molecular Dynamics ni
models op Molecular Reaction Dynamics ni
models op Molecular Spectroscopy (Transient) ni
models op Molecular Spectrosopy (Stationary) ni
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "Typically used for a system comprising of light/fast and heavy/slow particles where the classical approximation can be only justified for the latter ones"@en
MaRDI ID ap Item: Q6675431 ep

Quantum Conditional Quasi-Solvabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumConditionalQuasiSolvability

exact solutions of the time-independent Schrödinger equation for a certain number of low-lying states if certain relations of the parameters hold
belongs to
Computational Task c
has facts
contains op Electric Field ni
contains op Quantum Eigen Energy ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Hamiltonian (Linear Rotor) ni
contains op Quantum Hamiltonian (Symmetric Top) ni
contains op Quantum State Vector (Stationary) ni
contains op Rotational Constant ni
contains op Schrödinger Equation (Time Independent) ni
contains input op Rotational Constant ni
contains output op Electric Field ni
contains output op Quantum Eigen Energy ni
contains output op Quantum State Vector (Stationary) ni
uses op Linear Rotor (Combined) ni
uses op Symmetric Top (Combined) ni
description ap "For certain Hamiltonians, the concept of Conditional Quasi-Solvability holds: There are exact solutions of the time-independent Schrödinger equation for a certain number of low-lying quantum states (quasi-exact solvability), if and only if certain relations of the parameters of the Hamiltonian hold (conditionally exact solvability). For examples with trigonometric and hyperbolic potentials, see the annotating DOIs."@en
DOI ap 1.4864465 ep
DOI ap Phys Rev A.91.022111 ep
DOI ap Phys Rev A.97.053417 ep
DOI ap e2017 80134 6 ep
DOI ap fphy.2014.00037 ep
MaRDI ID ap Item: Q6684604 ep

Quantum Damping Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumDampingRate

rate at which quantum coherence is lost in a system due to interactions with its environment
belongs to
Quantity c
has facts
contained in op Closed System Approximation ni
contained in op Detailed Balance Principle ni
contained in op Quantum Jump Operator ni
contained in op Quantum Lindblad Equation ni
similar to op Damping Coefficient ni
similar to op Quantum Damping Rate ni
specializes op Reaction Rate Constant ni
description ap "Quantum damping rates can be used - together with quantum jump operators - to describe the dissipation and/or decoherence of the quantum dynamics in a Lindblad equation (for open quantum systems)"@en
alt Label ap "Dissipative Transition Rate"@en
MaRDI ID ap Item: Q6534313 ep

Quantum Eigen Energy (Anharmonic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumEigenEnergyAnharmonic

Eigenenergies of anharmonic oscillator systems, e.g. molecular vibrations, beyond the harmonic approximation
belongs to
Mathematical Formulation c
has facts
contained in op Normal Modes (Anharmonic) ni
contains op Anharmonicity Constant ni
contains op Anharmonicity Constant (Perturbation Theory) ni
contains op Number of Particles ni
contains op Quantum Eigen Energy ni
contains op Quantum Number ni
contains op Vibration Frequency (Harmonic) ni
specialized by op Quantum Eigen Energy (Harmonic) ni
defining formulation dp "$E_n=\sum_{r=1}^{3N-6}\omega_r \left( n_r + \frac{1}{2} \right) +\sum_{r \ge s} \chi_{rs} \left( n_r + \frac{1}{2} \right) \left( n_s + \frac{1}{2} \right)$"^^La Te X ep
in defining formulation dp "$E$, Quantum Eigen Energy"^^La Te X ep
in defining formulation dp "$N$, Number of Particles"^^La Te X ep
in defining formulation dp "$\chi$, Anharmonicity Constant"^^La Te X ep
in defining formulation dp "$\omega$, Vibration Frequency (Harmonic)"^^La Te X ep
in defining formulation dp "$n$, Quantum Number"^^La Te X ep
MaRDI ID ap Item: Q6674597 ep
Wikidata ID ap Q545228 ep

Quantum Eigen Energy (Harmonic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumEigenEnergyHarmonic

Eigenenergies of (single or coupled, for N particles) harmonic oscillators, e.g. molecular vibrations, within the harmonic approximation
belongs to
Mathematical Formulation c
has facts
contained in op Normal Modes (Harmonic) ni
contains op Number of Particles ni
contains op Planck Constant ni
contains op Quantum Eigen Energy ni
contains op Quantum Number ni
contains op Vibration Frequency (Harmonic) ni
specializes op Quantum Eigen Energy (Anharmonic) ni
defining formulation dp "$E_n=\sum_{r=1}^{3N-6}\left( n_r + \frac{1}{2} \right) \hbar \omega_r$"^^La Te X ep
in defining formulation dp "$E$, Quantum Eigen Energy"^^La Te X ep
in defining formulation dp "$N$, Number of Particles"^^La Te X ep
in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
in defining formulation dp "$\omega$, Vibration Frequency (Harmonic)"^^La Te X ep
in defining formulation dp "$n$, Quantum Number"^^La Te X ep
MaRDI ID ap Item: Q6674523 ep
Wikidata ID ap Q677864 ep

Quantum Eigen Energy (Intermolecular)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumEigenEnergyIntermolecular

Eigenenergies of molecular vibrations, including the effects of intermolecular vibrations
belongs to
Mathematical Formulation c
has facts
contained in op Normal Modes (Intermolecular) ni
contains op Vibrational Frequency Shift (1st Order) ni
contains op Vibrational Frequency Shift (2nd Order) ni
description ap "For simplicity, here only for a chromophore interacting with solvent molecules of a different species. Hence, only non-degenerate perturbation theory (up to 2nd order) is used here. First and second order results for the 0->1 vibrational frequency|energy shifts are given as two separate formulations."@en
MaRDI ID ap Item: Q6674525 ep

Quantum Eigen Energy (Linear Non-Rigid Rotor)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumEigenEnergyLinearNonRigidRotor

quantum-mechanical eigen energies of a non-rigid rotor
belongs to
Mathematical Formulation c
has facts
contained in op Linear Rotor (Non-Rigid) ni
contains op Centrifugal Distortion Constant ni
contains op Quantum Eigen Energy ni
contains op Quantum Number ni
contains op Rotational Constant ni
specialized by op Quantum Eigen Energy (Linear Rigid Rotor) ni
defining formulation dp "$E_j=Bj(j+1)-Dj^2(j+1)^2$"^^La Te X ep
in defining formulation dp "$B$, Rotational Constant"^^La Te X ep
in defining formulation dp "$D$, 'Centrifugal Distortion Constant'"^^La Te X ep
in defining formulation dp "$E_j$, Quantum Eigen Energy"^^La Te X ep
in defining formulation dp "$j$, Quantum Number"^^La Te X ep

Quantum Eigen Energy (Linear Rigid Rotor)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumEigenEnergyLinearRigidRotor

quantum-mechanical eigen energies of a linear rotor
belongs to
Mathematical Formulation c
has facts
contained in op Linear Rotor ni
contains op Quantum Eigen Energy ni
contains op Quantum Number ni
contains op Rotational Constant ni
specializes op Quantum Eigen Energy (Linear Non-Rigid Rotor) ni
defining formulation dp "$E_j=Bj(j+1)$"^^La Te X ep
in defining formulation dp "$B$, Rotational Constant"^^La Te X ep
in defining formulation dp "$E_j$, Quantum Eigen Energy"^^La Te X ep
in defining formulation dp "$j$, Quantum Number"^^La Te X ep

Quantum Hamiltonian (Electric Charge)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianElectricCharge

quantum-mechanical Hamiltonian for a particle with an electric charge interacting with external electric fields
belongs to
Mathematical Formulation c
has facts
contained in op Electron Shuttling Model ni
contained in op Liouville-von Neumann Equation ni
contained in op Quantum Lindblad Equation ni
contained in op Quantum Stationary States ni
contained in op Quantum Time Evolution ni
contained in op Schrödinger Equation (Time Dependent) ni
contains op Electric Charge ni
contains op Electric Potential ni
contains op Quantum Hamiltonian Operator ni
specialized by op Quantum Hamiltonian (Electric Dipole) ni
defining formulation dp "$H=H_0+q \mathcal{\phi}$"^^La Te X ep
in defining formulation dp "$H_0$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$\mathcal{\phi}$, Electric Potential"^^La Te X ep
in defining formulation dp "$q$, Electric Charge"^^La Te X ep
MaRDI ID ap Item: Q6534324 ep

Quantum Hamiltonian (Electric Dipole)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianElectricDipole

Quantum-mechanical Hamiltonian for a system interacting (resonantly) through its permanent dipole moments with external electric fields
belongs to
Mathematical Formulation c
has facts
contained in op Linear Rotor (Combined) ni
contained in op Linear Rotor (Polar) ni
contained in op Liouville-von Neumann Equation ni
contained in op Quantum Conditional Quasi-Solvability ni
contained in op Quantum Lindblad Equation ni
contained in op Quantum Model (Open System) ni
contained in op Quantum Stationary States ni
contained in op Quantum Time Evolution ni
contained in op Schrödinger Equation (Time Dependent) ni
contained in op Symmetric Top (Combined) ni
contains op Electric Dipole Moment ni
contains op Electric Field ni
contains op Quantum Hamiltonian Operator ni
specializes op Quantum Hamiltonian (Electric Charge) ni
defining formulation dp "$H=H_0-\mu \cdot \mathcal{E}$"^^La Te X ep
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$H_0$, Quantum Hamiltonian Operator (non-interacting system)"^^La Te X ep
in defining formulation dp "$\mathcal{E}$, Electric Field"^^La Te X ep
in defining formulation dp "$\mu$, Electric Dipole Moment"^^La Te X ep
description ap "Semiclassical first order approximation"@en
MaRDI ID ap Item: Q6674477 ep

Quantum Hamiltonian (Electric Polarizability)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianElectricPolarizability

Quantum-mechanical Hamiltonian for a system interacting (non-resonantly) through its induced dipole moments with external electric fields
belongs to
Mathematical Formulation c
has facts
contained in op Linear Rotor (Apolar) ni
contained in op Linear Rotor (Combined) ni
contained in op Liouville-von Neumann Equation ni
contained in op Quantum Conditional Quasi-Solvability ni
contained in op Quantum Lindblad Equation ni
contained in op Quantum Model (Closed System) ni
contained in op Quantum Model (Open System) ni
contained in op Schrödinger Equation (Time Dependent) ni
contained in op Schrödinger Equation (Time Independent) ni
contained in op Symmetric Top (Combined) ni
contains op Electric Field ni
contains op Electric Polarizability ni
contains op Quantum Hamiltonian Operator ni
defining formulation dp "$H=H_0 - \frac{1}{2} \alpha \mathcal{E}^2$"^^La Te X ep
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$H_0$, Hamiltonian Operator (non-interacting system)"^^La Te X ep
in defining formulation dp "$\alpha$, Electric Polarizability"^^La Te X ep
in defining formulation dp "$\mathcal{E}$, Electric Field"^^La Te X ep
description ap "Semiclassical second order approximation"@en
MaRDI ID ap Item: Q6674476 ep

Quantum Hamiltonian (Linear Rotor)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianLinearRotor

quantum-mechanical represention of a molecule as a linear rotor
belongs to
Mathematical Formulation c
has facts
contained in op Linear Rotor ni
contained in op Linear Rotor (Apolar) ni
contained in op Linear Rotor (Combined) ni
contained in op Linear Rotor (Polar) ni
contained in op Quantum Conditional Quasi-Solvability ni
contains op Quantum Angular Momentum Operator ni
contains op Quantum Hamiltonian Operator ni
contains op Rotational Constant ni
specializes op Quantum Hamiltonian (Non-Rigid Rotor) ni
specializes op Quantum Hamiltonian (Symmetric Top) ni
defining formulation dp "$\hat{H}=B\hat{J}^2$"^^La Te X ep
in defining formulation dp "$B$, Rotational Constant"^^La Te X ep
in defining formulation dp "$J$, Quantum Angular Momentum Operator"^^La Te X ep
in defining formulation dp "$\hat{H}$, Quantum Hamiltonian Operator"^^La Te X ep
MaRDI ID ap Item: Q6674473 ep
Wikidata ID ap Q2915184 ep

Quantum Hamiltonian (Non-Rigid Rotor)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianNonRigidRotor

quantum-mechanical represention of a molecule as a non-rigid rotor
belongs to
Mathematical Formulation c
has facts
contained in op Linear Rotor (Non-Rigid) ni
contains op Centrifugal Distortion Constant ni
contains op Quantum Angular Momentum Operator ni
contains op Quantum Hamiltonian Operator ni
contains op Rotational Constant ni
specialized by op Quantum Hamiltonian (Linear Rotor) ni
defining formulation dp "$\hat{H}=B\hat{J}^2+D\hat{J}^4$"^^La Te X ep
in defining formulation dp "$B$, Rotational Constant"^^La Te X ep
in defining formulation dp "$D$, Centrifugal Distortion Constant"^^La Te X ep
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$J$, Quantum Angular Momentum Operator"^^La Te X ep
MaRDI ID ap Item: Q6674478 ep

Quantum Hamiltonian (Normal Mode)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianNormalMode

quantum-mechanical represention of molecular vibrations in terms of normal modes
belongs to
Mathematical Formulation c
has facts
contained in op Normal Modes ni
specialized by op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
specialized by op Quantum Hamiltonian (Normal Mode, Harmonic) ni
description ap "pattern of motion in which all parts of the system move sinusoidally with the same frequency and with a fixed phase relation"@en
MaRDI ID ap Item: Q6674520 ep
Wikidata ID ap Q900488 ep

Quantum Hamiltonian (Normal Mode, Anharmonic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianNormalModeAnharmonic

quantum-mechanical represention of molecular normal modes of vibration beyond the harmonic approximation
belongs to
Mathematical Formulation c
has facts
contained in op Normal Modes (Anharmonic) ni
contains op Force Constant (Anharmonic) ni
contains op Normal Mode Coordinate (Dimensionless) ni
contains op Normal Mode Momentum (Dimensionless) ni
contains op Number of Particles ni
contains op Quantum Hamiltonian Operator ni
contains op Vibration Frequency (Harmonic) ni
specialized by op Quantum Hamiltonian (Normal Mode, Harmonic) ni
specializes op Quantum Hamiltonian (Normal Mode) ni
specializes op Quantum Hamiltonian (Normal Mode, Intermolecular) ni
defining formulation dp "$\hat{H}=\frac{1}{2}\sum_{i=1}^{3N-6}\omega_i\left(\hat{p}_i^2+\hat{q}_i^2\right) + \frac{1}{6} \sum_{ijk} \phi_{ijk} q_iq_jq_k + \frac{1}{24} \sum_{ijkl} \phi_{ijk} q_iq_jq_kq_l$"^^La Te X ep
in defining formulation dp "$N$, Number of Particles"^^La Te X ep
in defining formulation dp "$\hat{H}$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$\omega$, Vibration Frequency (Harmonic)"^^La Te X ep
in defining formulation dp "$\phi_{ijkl}$, Force Constant (Anharmonic)"^^La Te X ep
in defining formulation dp "$\phi_{ijk}$, Force Constant (Anharmonic)"^^La Te X ep
in defining formulation dp "$p$, Normal Mode Momentum (Dimensionless)"^^La Te X ep
in defining formulation dp "$q$, Normal Mode Coordinate (Dimensionless)"^^La Te X ep
MaRDI ID ap Item: Q6674522 ep

Quantum Hamiltonian (Normal Mode, Harmonic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianNormalModeHarmonic

quantum-mechanical represention of molecular normal modes of vibration within the harmonic approximation
belongs to
Mathematical Formulation c
has facts
contained in op Normal Modes (Harmonic) ni
contains op Normal Mode Coordinate (Dimensionless) ni
contains op Normal Mode Momentum (Dimensionless) ni
contains op Number of Particles ni
contains op Quantum Hamiltonian Operator ni
contains op Vibration Frequency (Harmonic) ni
specializes op Quantum Hamiltonian (Normal Mode) ni
specializes op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
specializes op Quantum Hamiltonian (Normal Mode, Intermolecular) ni
defining formulation dp "$\hat{H}=\frac{1/2}\sum_{i=1}^{3N-6}\omega_i\left(\hat{p}_i^2+\hat{q}_i^2\right)$"^^La Te X ep
in defining formulation dp "$N$, Number of Particles"^^La Te X ep
in defining formulation dp "$\hat{H}$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$\omega$, Vibration Frequency (Harmonic)"^^La Te X ep
in defining formulation dp "$p$, Normal Mode Momentum (Dimensionless)"^^La Te X ep
in defining formulation dp "$q$, Normal Mode Coordinate (Dimensionless)"^^La Te X ep
MaRDI ID ap Item: Q6674524 ep

Quantum Hamiltonian (Normal Mode, Intermolecular)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianNormalModeIntermolecular

quantum-mechanical represention of molecular normal modes of vibration, including intermolecular interaction
belongs to
Mathematical Formulation c
has facts
contained in op Normal Modes (Intermolecular) ni
contains op Force Constant (Anharmonic) ni
contains op Intermolecular Potential ni
contains op Normal Mode Coordinate ni
contains op Normal Mode Momentum ni
contains op Number of Particles ni
contains op Quantum Hamiltonian Operator ni
contains op Vibration Frequency (Harmonic) ni
specialized by op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
specialized by op Quantum Hamiltonian (Normal Mode, Harmonic) ni
defining formulation dp "$\hat{H}=\frac{1}{2}\sum_{i=1}^{3N-6}\omega_i\left(\hat{p}_i^2+\hat{q}_i^2\right) + \frac{1}{6} \sum_{ijk} \phi_{ijk} q_iq_jq_k + \frac{1}{24} \sum_{ijkl} \phi_{ijk} q_iq_jq_kq_l + U(q)$"^^La Te X ep
in defining formulation dp "$N$, Number of Particles"^^La Te X ep
in defining formulation dp "$U$, Intermolecular Potential"^^La Te X ep
in defining formulation dp "$\hat{H}$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$\omega$, Vibration Frequency (Harmonic)"^^La Te X ep
in defining formulation dp "$\phi$, Force Constant (Anharmonic)"^^La Te X ep
in defining formulation dp "$p$, Normal Mode Momentum"^^La Te X ep
in defining formulation dp "$q$, Normal Mode Coordinate"^^La Te X ep
MaRDI ID ap Item: Q6674526 ep

Quantum Hamiltonian (Symmetric Top)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianSymmetricTop

quantum-mechanical represention of a molecule as a symmetric top
belongs to
Mathematical Formulation c
has facts
contained in op Quantum Conditional Quasi-Solvability ni
contained in op Symmetric Top (Combined) ni
contains op Quantum Angular Momentum Operator ni
contains op Quantum Hamiltonian Operator ni
contains op Rotational Constant ni
specialized by op Quantum Hamiltonian (Linear Rotor) ni
defining formulation dp "$\hat{H}=A\hat{J_A}^2 + B\hat{J_B}^2 + C\hat{J_C}^2$"^^La Te X ep
in defining formulation dp "$A$, Rotational Constant"^^La Te X ep
in defining formulation dp "$B$, Rotational Constant"^^La Te X ep
in defining formulation dp "$C$, Rotational Constant"^^La Te X ep
in defining formulation dp "$J_A$, Quantum Angular Momentum Operator"^^La Te X ep
in defining formulation dp "$J_B$, Quantum Angular Momentum Operator"^^La Te X ep
in defining formulation dp "$J_C$, Quantum Angular Momentum Operator"^^La Te X ep
in defining formulation dp "$\hat{H}$, Quantum Hamiltonian Operator"^^La Te X ep
description ap "A symmetric top is a molecule in which two moments of inertia are the same. By definition a symmetric top must have a 3-fold or higher order rotation axis. In practice, spectroscopists divide molecules into two classes of symmetric tops: Oblate symmetric tops (saucer or disc shaped), e.g., C6H6, and Prolate symmetric tops (rugby football, or cigar shaped), e.g. CH3Cl."@en
MaRDI ID ap Item: Q6674552 ep
Wikidata ID ap Q904380 ep

Quantum Hamiltonian Operatorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumHamiltonianOperator

operator representing the total energy of a quantum system
belongs to
Quantity c
has facts
contained in op Liouville-von Neumann Equation ni
contained in op Quantum Hamiltonian (Electric Charge) ni
contained in op Quantum Hamiltonian (Electric Dipole) ni
contained in op Quantum Hamiltonian (Electric Polarizability) ni
contained in op Quantum Hamiltonian (Linear Rotor) ni
contained in op Quantum Hamiltonian (Non-Rigid Rotor) ni
contained in op Quantum Hamiltonian (Normal Mode, Anharmonic) ni
contained in op Quantum Hamiltonian (Normal Mode, Harmonic) ni
contained in op Quantum Hamiltonian (Normal Mode, Intermolecular) ni
contained in op Quantum Hamiltonian (Symmetric Top) ni
contained in op Quantum Lindblad Equation ni
contained in op Schrödinger Equation (Time Dependent) ni
contained in op Schrödinger Equation (Second Order Differencing) ni
contained in op Schrödinger Equation (Time Independent) ni
contained in op Time Independence of Hamiltonian ni
specialized by op Classical Hamilton Function ni
specializes op Quantum Mechanical Operator ni
description ap "In quantum mechanics, this is the operator representing the total energy of a quantum system, thus giving the possible outcomes of energy measurements as well as its time evolution"@en
description ap "Operator in der Quantenmechanik, der (mögliche) Energiemesswerte und die Zeitentwicklung angibt."@de
MaRDI ID ap Item: Q6534301 ep
Wikidata ID ap Q660488 ep

Quantum Jump Operatorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumJumpOperator

operator describing the dissipation and/or decoherence of open system quantum dynamics in a Lindblad equation
belongs to
Quantity c
has facts
contained in op Quantum Jump Operator ni
contained in op Quantum Lindblad Equation ni
contains op Quantum Damping Rate ni
contains op Quantum Jump Operator ni
specializes op Quantum Mechanical Operator ni
defining formulation dp "$\hat{C_{j,k}} \equiv \sqrt{\Gamma_{k\rightarrow k}}|j\rangle\langle k|$"^^La Te X ep
in defining formulation dp "$\Gamma$, Quantum Damping Rate"^^La Te X ep
in defining formulation dp "$\hat{C}$, Quantum Jump Operator"^^La Te X ep
description ap "Quantum jump operators can be used - together with quantum damping rates - to describe the dissipation and/or decoherence of the quantum dynamics in a Lindblad equation (for open quantum systems)"@en
alt Label ap "Lindblad Operator"@en
MaRDI ID ap Item: Q6534312 ep

Quantum Kinetic Operatorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumKineticOperator

operator representing the kinetic energy of a quantum system
belongs to
Quantity c
has facts
contained in op Schrödinger Equation (Lie-Trotter) ni
contained in op Schrödinger Equation (Strang-Marchuk) ni
specializes op Quantum Mechanical Operator ni
description ap "In quantum mechanics, this is the operator representing the kinetic energy of a quantum system. Typically, a function of the momenta of the particles. Hence, a derivative operator"@en
MaRDI ID ap Item: Q6674108 ep

Quantum Lindblad Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumLindbladEquation

describes open system quantum dynamics including dissipation and/or decoherence
belongs to
Mathematical Formulation c
has facts
contained in op Electron Shuttling Model ni
contained in op Quantum Model (Open System) ni
contained in op Quantum Time Evolution ni
contains op Detailed Balance Principle ni
contains op Imaginary Unit ni
contains op Initial Quantum Density ni
contains op Planck Constant ni
contains op Quantum Damping Rate ni
contains op Quantum Density Operator ni
contains op Quantum Hamiltonian (Electric Charge) ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Hamiltonian Operator ni
contains op Quantum Jump Operator ni
contains op Time ni
contains initial condition op Initial Quantum Density ni
defining formulation dp "$\frac{\mathrm d}{\mathrm{d}t}\rho=-\frac{\mathrm i}\hbar[H,\rho]+\sum _{k=1}^{N^2-1}\gamma_k\left(L_k\rho L_k^\dagger-\frac12[L_k^\dagger L_k,\rho]_+\right)$"^^La Te X ep
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$L$, Quantum Jump Operator"^^La Te X ep
in defining formulation dp "$[\cdot,\cdot]_+$, anti-commutator"^^La Te X ep
in defining formulation dp "$\gamma > 0$, Quantum Damping Rate"^^La Te X ep
in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
in defining formulation dp "$\mathrm{i}$, Imaginary Unit"^^La Te X ep
in defining formulation dp "$\rho$, Quantum Density Operator"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is time-continuous dp "true"^^boolean
description ap "Markovian quantum master equation for the evolution of quantum mechanical density matrices (pure or mixed states). It generalizes the Schrödinger equation to open quantum systems; that is, systems in contacts with their surroundings. The resulting dynamics is no longer unitary, but still satisfies the property of being trace-preserving and completely positive for any initial condition"@en
alt Label ap "Gorini–Kossakowski–Sudarshan–Lindblad Equation"@en
MaRDI ID ap Item: Q6534317 ep
Wikidata ID ap Q4476520 ep

Quantum Model (Open System)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumModelOpenSystem

quantum dynamics of an open system, i.e., a system that interacts with its environment
belongs to
Mathematical Model c
has facts
contains op Initial Quantum Density ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Lindblad Equation ni
contains initial condition op Initial Quantum Density ni
models op Molecular Dynamics ni
models op Molecular Reaction Dynamics ni
models op Molecular Spectroscopy (Transient) ni
models op Molecular Spectrosopy (Stationary) ni
specialized by op Classical Dynamics Model ni
specialized by op Dynamical Electron Scattering Model ni
specialized by op Electron Shuttling Model ni
specialized by op Quantum Model (Closed System) ni
used by op Balanced Truncation (Bi-linear) ni
used by op H2 Optimal Approximation (Bi-linear) ni
used by op Optimal Control ni
used by op Quantum Time Evolution ni
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "Quantum dynamics of an open system, i.e., a system that can exchange phase (e.g. in elastic collisions) and/or energy (e.g. in inelastic collisions) with its environment."@en
MaRDI ID ap Item: Q6675432 ep

Quantum Momentum Operatorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumMomentumOperator

in the coordinate representation of quantum mechanics, the momentum of a particle is represented by this operator
belongs to
Quantity c
has facts
contained in op Quantum Momentum Operator ni
contains op Imaginary Unit ni
contains op Planck Constant ni
contains op Quantum Momentum Operator ni
specializes op Quantum Mechanical Operator ni
defining formulation dp "$p\equiv-{\rm i}\hbar \nabla$"^^La Te X ep
in defining formulation dp "$\mathrm{i}$, Imaginary Unit"
in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
in defining formulation dp "$p$, Quantum Momentum Operator"^^La Te X ep
MaRDI ID ap Item: Q6674110 ep
Wikidata ID ap Q692457 ep

Quantum Numberni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumNumber

quantities that characterize the possible states of the system
belongs to
Quantity c
has facts
contained in op Detailed Balance Principle ni
contained in op Quantum Eigen Energy (Anharmonic) ni
contained in op Quantum Eigen Energy (Harmonic) ni
contained in op Quantum Eigen Energy (Linear Non-Rigid Rotor) ni
contained in op Quantum Eigen Energy (Linear Rigid Rotor) ni
contained in op Schrödinger Equation (Time Independent) ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
description ap "In quantum physics and chemistry, quantum numbers are quantities that characterize the possible states of the system. Quantum numbers are closely related to eigenvalues of observables. When the corresponding observable commutes with the Hamiltonian, the quantum number is said to be "good", and acts as a constant of motion in the quantum dynamics."@en
MaRDI ID ap Item: Q6534309 ep
Wikidata ID ap Q232431 ep

Quantum Potential Operatorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumPotentialOperator

operator representing the potential energy of a quantum system
belongs to
Quantity c
has facts
contained in op Schrödinger Equation (Lie-Trotter) ni
contained in op Schrödinger Equation (Strang-Marchuk) ni
specializes op Quantum Mechanical Operator ni
description ap "In quantum mechanics, this is the operator representing the potential energy of a quantum system. Typically, a function of the positions of the particles. Hence, a multiplicative operator"@en
MaRDI ID ap Item: Q6674109 ep

Quantum State Vectorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumStateVector

state of an isolated quantum system, represented as an element of a projective Hilbert space
belongs to
Quantity c
has facts
contained in op Expectation Value (Quantum State) ni
contained in op Initial Quantum State ni
contained in op Molecular Alignment ni
contained in op Molecular Orientation ni
specialized by op Quantum State Vector (Dynamic) ni
specialized by op Quantum State Vector (Stationary) ni
specializes op Quantum Density Operator ni
specializes op Quantum Mechanical Operator ni
specializes op State Vector ni
description ap "Abstract (Dirac) notation as a quantum state or wave function in coordinate representation"@en
MaRDI ID ap Item: Q6673968 ep
Wikidata ID ap Q230883 ep

Quantum State Vector (Dynamic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumStateVectorDynamic

solutions of the time-dependent Schrödinger equation, giving the time evolution of a (closed) quantum system
belongs to
Quantity c
has facts
contained as output in op Quantum Time Evolution ni
contained in op Quantum Time Evolution ni
contained in op Schrödinger Equation (Time Dependent) ni
contained in op Schrödinger Equation (Lie-Trotter) ni
contained in op Schrödinger Equation (Second Order Differencing) ni
contained in op Schrödinger Equation (Strang-Marchuk) ni
contains op Imaginary Unit ni
specializes op Quantum Density Operator ni
specializes op Quantum Mechanical Operator ni
specializes op Quantum State Vector ni
specializes op State Vector ni
description ap "Abstract (Dirac) notation as dynamic quantum states or wave functions in coordinate representation"@en
MaRDI ID ap Item: Q6534303 ep

Quantum State Vector (Stationary)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumStateVectorStationary

solutions of the time-independent Schrödinger equation, giving stationary states of a (closed) quantum system
belongs to
Quantity c
has facts
contained as input in op Quantum Time Evolution ni
contained as output in op Quantum Conditional Quasi-Solvability ni
contained as output in op Quantum Stationary States ni
contained in op Quantum Conditional Quasi-Solvability ni
contained in op Quantum Stationary States ni
contained in op Quantum Time Evolution ni
contained in op Schrödinger Equation (Time Independent) ni
specializes op Quantum Density Operator ni
specializes op Quantum Mechanical Operator ni
specializes op Quantum State Vector ni
specializes op State Vector ni
description ap "Abstract (Dirac) notation as stationary quantum states or wave functions in coordinate representation."@en
MaRDI ID ap Item: Q6534308 ep

Quantum Time Evolutionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#QuantumTimeEvolution

given the quantum state of a quantum system at initial time, the task is to predict the quantum state at later time
belongs to
Computational Task c
has facts
contains op Electric Charge ni
contains op Electric Dipole Moment ni
contains op Electric Field ni
contains op Electric Potential ni
contains op Expectation Value (Quantum Density) ni
contains op Expectation Value (Quantum State) ni
contains op Planck Constant ni
contains op Quantum Density Operator ni
contains op Quantum Hamiltonian (Electric Charge) ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Lindblad Equation ni
contains op Quantum State Vector (Dynamic) ni
contains op Quantum State Vector (Stationary) ni
contains op Schrödinger Equation (Time Dependent) ni
contains constant op Planck Constant ni
contains input op Electric Field ni
contains input op Electric Potential ni
contains input op Quantum State Vector (Stationary) ni
contains output op Expectation Value (Quantum Density) ni
contains output op Expectation Value (Quantum State) ni
contains output op Quantum Density Operator ni
contains output op Quantum State Vector (Dynamic) ni
contains parameter op Electric Charge ni
contains parameter op Electric Dipole Moment ni
specializes op Control System Time Evolution ni
specializes op Control System Time Evolution (Bi-linear) ni
uses op Electron Shuttling Model ni
uses op Linear Rotor ni
uses op Linear Rotor (Apolar) ni
uses op Linear Rotor (Combined) ni
uses op Linear Rotor (Non-Rigid) ni
uses op Linear Rotor (Polar) ni
uses op Quantum Model (Closed System) ni
uses op Quantum Model (Open System) ni
uses op Symmetric Top (Combined) ni
MaRDI ID ap Item: Q6534339 ep

Radiusni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Radius

segment in a circle or sphere from its center to its perimeter or surface and its length
belongs to
Quantity Kind c
has facts
contained in op Spherical Harmonics Expansion (3D) ni
specialized by op Particle Radius ni
MaRDI ID ap Item: Q6673728 ep
Wikidata ID ap Q173817 ep

Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Rate

quantity of process intensivity
belongs to
Quantity Kind c
has facts
specialized by op Asymptomatic Infection Rate ni
specialized by op Asymptomatic Recovery Rate ni
specialized by op Between Population Contact Rate ni
specialized by op Birth Rate ni
specialized by op Contact Rate ni
specialized by op Infected Recovery Rate ni
specialized by op Initial Reaction Rate ni
specialized by op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni
specialized by op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
specialized by op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
specialized by op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
specialized by op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
specialized by op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
specialized by op Rate of Aging ni
specialized by op Rate of Becoming Infectious ni
specialized by op Rate of Change of Susceptible Cities ni
specialized by op Rate of Switching Influencers ni
specialized by op Reaction Rate ni
specialized by op Reaction Rate of Enzyme ni
specialized by op Reaction Rate of Enzyme - Product 1 Complex ni
specialized by op Reaction Rate of Enzyme - Product 1 - Product 2 Complex ni
specialized by op Reaction Rate of Enzyme - Product 2 Complex ni
specialized by op Reaction Rate of Enzyme - Substrate 1 Complex ni
specialized by op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex ni
specialized by op Reaction Rate of Intermediate ni
specialized by op Reaction Rate of Intermediate - Substrate 2 Complex ni
specialized by op Reaction Rate of Product 1 ni
specialized by op Reaction Rate of Product 2 ni
specialized by op Reaction Rate of Substrate 1 ni
specialized by op Reaction Rate of Substrate 2 ni
specialized by op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex ni
specialized by op Relative Removal Rate ni
specialized by op Risk of Death ni
specialized by op Symptomatic Infection Rate ni
description ap "Rate"@de
MaRDI ID ap Item: Q6673694 ep
Wikidata ID ap Q1144560 ep

Rate of Agingni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfAging

speed at which an individual or population ages
belongs to
Quantity c
has facts
contained as output in op Maximizing Poisson log-Likelihood ni
contained in op Gamma-Gompertz–Makeham Law ni
contained in op Maximizing Poisson log-Likelihood ni
specializes op Rate ni
MaRDI ID ap Item: Q6674000 ep

Rate of Becoming Infectiousni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfBecomingInfectious

inverse of Incubation period
belongs to
Quantity c
has facts
contained in op Rate of Change of Population Density Fraction of Exposed PDE ni
contained in op Rate of Change of Population Density Fraction of Infectious PDE ni
specializes op Rate ni
MaRDI ID ap Item: Q6674111 ep

Rate of Change of Population Density Fraction of Exposed PDEni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfChangeOfPopulationDensityFractionOfExposedPDE

partial derivative of population density fraction of exposed
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Allee Threshold ni
contains op Asymptomatic Infection Rate ni
contains op Asymptomatic Recovery Rate ni
contains op Diffusion Coefficient for SEIR Model ni
contains op Fraction of Population Density of Exposed ni
contains op Fraction of Population Density of Infectious ni
contains op Fraction of Population Density of Susceptibles ni
contains op Population Density ni
contains op Rate of Becoming Infectious ni
contains op Symptomatic Infection Rate ni
contains op Time ni
defining formulation dp "$\partial_t e =\operatorname{div}(D \nabla e)+\left(1-\frac{A}{n+n_0}\right) s\left(\beta_e e+\beta_i i\right)-\sigma e-\phi_e e $"^^La Te X ep
in defining formulation dp "$A$, Allee Threshold"^^La Te X ep
in defining formulation dp "$D$, Diffusion Coefficient for SEIR Model"^^La Te X ep
in defining formulation dp "$\beta_e$, Asymptomatic Infection Rate"^^La Te X ep
in defining formulation dp "$\beta_i$, Symptomatic Infection Rate"^^La Te X ep
in defining formulation dp "$\phi_e$, Asymptomatic Recovery Rate"^^La Te X ep
in defining formulation dp "$\sigma$, Rate of Becoming Infectious"^^La Te X ep
in defining formulation dp "$e$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$i$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$n$, Population Density"^^La Te X ep
in defining formulation dp "$s$, Fraction of Population Density of Susceptibles"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
MaRDI ID ap Item: Q6674554 ep

Rate of Change of Population Density Fraction of Infectious PDEni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfChangeOfPopulationDensityFractionOfInfectiousPDE

partial derivative of population density fraction of infectious
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Diffusion Coefficient for SEIR Model ni
contains op Fraction of Population Density of Exposed ni
contains op Fraction of Population Density of Infectious ni
contains op Infected Recovery Rate ni
contains op Rate of Becoming Infectious ni
contains op Time ni
defining formulation dp "$\partial_t i =\operatorname{div}(D \nabla i)+\sigma e-\phi_i i $"^^La Te X ep
in defining formulation dp "$D$, Diffusion Coefficient for SEIR Model"^^La Te X ep
in defining formulation dp "$\phi_i$, Infected Recovery Rate"^^La Te X ep
in defining formulation dp "$\sigma$, Rate of Becoming Infectious"^^La Te X ep
in defining formulation dp "$e$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$i$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
MaRDI ID ap Item: Q6674555 ep

Rate of Change of Population Density Fraction of Removed PDEni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfChangeOfPopulationDensityFractionOfRemovedPDE

partial derivative of population density fraction of removed
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Asymptomatic Recovery Rate ni
contains op Diffusion Coefficient for SEIR Model ni
contains op Fraction of Population Density of Exposed ni
contains op Fraction of Population Density of Infectious ni
contains op Fraction of Population Density of Removed ni
contains op Infected Recovery Rate ni
contains op Time ni
defining formulation dp "$\partial_t r =\operatorname{div}(D \nabla r)+\phi_i i+\phi_e e $"^^La Te X ep
in defining formulation dp "$D$, Diffusion Coefficient for SEIR Model"^^La Te X ep
in defining formulation dp "$\phi_e$, Asymptomatic Recovery Rate"^^La Te X ep
in defining formulation dp "$\phi_i$, Infected Recovery Rate"^^La Te X ep
in defining formulation dp "$e$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$i$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$r$, Fraction of Population Density of Removed"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
MaRDI ID ap Item: Q6674556 ep

Rate of Change of Population Density Fraction of Susceptibles PDEni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfChangeOfPopulationDensityFractionOfSusceptiblesPDE

partial derivative of population density fraction of susceptibles
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Allee Threshold ni
contains op Asymptomatic Infection Rate ni
contains op Diffusion Coefficient for SEIR Model ni
contains op Fraction of Population Density of Exposed ni
contains op Fraction of Population Density of Infectious ni
contains op Fraction of Population Density of Susceptibles ni
contains op Population Density ni
contains op Symptomatic Infection Rate ni
contains op Time ni
defining formulation dp "$\partial_t s =\operatorname{div}(D \nabla s)-\left(1-\frac{A}{n+n_0}\right) s\left(\beta_e e+\beta_i i\right)$"^^La Te X ep
in defining formulation dp "$A$, Allee Threshold"^^La Te X ep
in defining formulation dp "$D$, Diffusion Coefficient for SEIR Model"^^La Te X ep
in defining formulation dp "$\beta_e$, Asymptomatic Infection Rate"^^La Te X ep
in defining formulation dp "$\beta_i$, Symptomatic Infection Rate"^^La Te X ep
in defining formulation dp "$e$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$i$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$n$, Population Density"^^La Te X ep
in defining formulation dp "$s$, Fraction of Population Density of Susceptibles"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
MaRDI ID ap Item: Q6674557 ep

Rate of Change of Susceptible Citiesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfChangeOfSusceptibleCities

rate of change of susceptible cities
belongs to
Quantity c
has facts
contained in op Spreading Curve (Approximate, Formulation) ni
contained in op Susceptible Cities ODE ni
contained in op Susceptible Infectious Epidemic Spreading ODE System ni
specializes op Rate ni
MaRDI ID ap Item: Q6673751 ep

Rate of Switching Influencersni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfSwitchingInfluencers

rate at which an individual switches the influencer they are following at a given time
belongs to
Quantity c
has facts
contained in op Limiting Distribution of Individuals Formulation ni
contained in op Rate of Switching Influencers Formulation ni
specializes op Rate ni
MaRDI ID ap Item: Q6674038 ep

Rate of Switching Influencers Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateOfSwitchingInfluencersFormulation

rate of switching influencers
belongs to
Mathematical Formulation c
has facts
contained in op Opinion Model with Influencers and Media ni
contains op Link Recommendation Function ni
contains op Medium Influencer Fraction ni
contains op Opinion ni
contains op Pair Function ni
contains op Rate of Switching Influencers ni
contains op Scaling Parameter for Switching Influencers ni
contains op Time ni
defining formulation dp "$\Lambda_m^{\rightarrow l}(x, t)=\eta \psi\left(\left\|z_l-x\right\|\right) r\left(\frac{n_{m, l}(t)}{\sum_{m^{\prime}=1}^M n_{m^{\prime}, l}(t)}\right)$"^^La Te X ep
in defining formulation dp "$\Lambda_m^{\rightarrow l}(x, t)$, Rate of Switching Influencers"^^La Te X ep
in defining formulation dp "$\eta$, Scaling Parameter for Switching Influencers"^^La Te X ep
in defining formulation dp "$\psi$, Pair Function"^^La Te X ep
in defining formulation dp "$n_{m, l}$, Medium Influencer Fraction"^^La Te X ep
in defining formulation dp "$r$, Link Recommendation Function"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$x$, Opinion"^^La Te X ep
is space-continuous dp "true"^^boolean
description ap "Each individual i can at any time t switch its current influencer l′ to another influencer l with a given rate. By setting the pair function to $\psi(x) = exp(−x)$, an individual has an exponentially higher rate to switch to an influencer that has a similar opinion than to an influencer with a very different opinion. This rate of switching influencers is defined by this formulation."@en
MaRDI ID ap Item: Q6674558 ep

Reaction Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRate

speed at which a chemical reaction proceeds
belongs to
Quantity c
has facts
contained in op Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme Concentration ODE (Uni Uni Reaction) ni
contained in op Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction) ni
contained in op Intermediate Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
contained in op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
contained in op Mass Action Law ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Product Concentration ODE (Uni Uni Reaction) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Substrate Concentration ODE (Uni Uni Reaction) ni
contained in op Uni Uni Reaction ODE System ni
specialized by op Initial Reaction Rate ni
specialized by op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni
specialized by op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
specialized by op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
specialized by op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
specialized by op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
specialized by op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
specialized by op Reaction Rate of Enzyme ni
specialized by op Reaction Rate of Enzyme - Product 1 Complex ni
specialized by op Reaction Rate of Enzyme - Product 1 - Product 2 Complex ni
specialized by op Reaction Rate of Enzyme - Product 2 Complex ni
specialized by op Reaction Rate of Enzyme - Substrate 1 Complex ni
specialized by op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex ni
specialized by op Reaction Rate of Intermediate ni
specialized by op Reaction Rate of Intermediate - Substrate 2 Complex ni
specialized by op Reaction Rate of Product 1 ni
specialized by op Reaction Rate of Product 2 ni
specialized by op Reaction Rate of Substrate 1 ni
specialized by op Reaction Rate of Substrate 2 ni
specialized by op Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex ni
specializes op Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673957 ep
Wikidata ID ap Q3394849 ep

Reaction Rate Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RateConstant

quantifies the rate of a chemical reaction
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contained in op Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contained in op Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme Concentration ODE (Uni Uni Reaction) ni
contained in op Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction) ni
contained in op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Equilibrium Constant (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Intermediate Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ni
contained in op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward) ni
contained in op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward) ni
contained in op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ni
contained in op Limiting Reaction Rate (Uni Uni Reaction - Backward) ni
contained in op Limiting Reaction Rate (Uni Uni Reaction - Forward) ni
contained in op Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward) ni
contained in op Mass Action Law ni
contained in op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption) ni
contained in op Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption) ni
contained in op Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption) ni
contained in op Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption) ni
contained in op Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption) ni
contained in op Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption) ni
contained in op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Product Concentration ODE (Uni Uni Reaction) ni
contained in op Rapid Equilibrium Assumption ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Substrate Concentration ODE (Uni Uni Reaction) ni
contained in op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contained in op Uni Uni Reaction ODE System ni
specialized by op Quantum Damping Rate ni
specialized by op Recombination of Electron Hole Pairs ni
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673803 ep
Wikidata ID ap Q658700 ep

Reaction Rate of Enzyme - Product 1 - Product 2 Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateOfEnzymeProduct1Product2Complex

reaction rate of specific entity
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673806 ep
Wikidata ID ap Q3394849 ep

Reaction Rate of Enzyme - Product 1 Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateOfEnzymeProduct1Complex

reaction rate of specific entity
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673805 ep
Wikidata ID ap Q3394849 ep

Reaction Rate of Enzyme - Product 2 Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateOfEnzymeProduct2Complex

reaction rate of specific entity
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673822 ep
Wikidata ID ap Q3394849 ep

Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateofEnzymeSubstrate1Substrate2EnzymeProduct1Product2Complex

reaction rate of specific entity
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673816 ep
Wikidata ID ap Q3394849 ep

Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateOfEnzymeSubstrate1Substrate2Complex

reaction rate of specific entity
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673808 ep
Wikidata ID ap Q3394849 ep

Reaction Rate of Enzyme - Substrate 1 Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateOfEnzymeSubstrate1Complex

reaction rate of specific entity
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673807 ep
Wikidata ID ap Q3394849 ep

Reaction Rate of Intermediateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateOfIntermediate

reaction rate of specific entity
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673819 ep
Wikidata ID ap Q3394849 ep

Reaction Rate of Intermediate - Substrate 2 Complexni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReactionRateOfIntermediateSubstrate2Complex

reaction rate of specific entity
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
specializes op Rate ni
specializes op Reaction Rate ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673820 ep
Wikidata ID ap Q3394849 ep

Reciprocal Latticeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReciprocalLattice

mathematical construct to describe the diffraction patterns of crystals
belongs to
Quantity c
has facts
contained in op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
contained in op Darwin-Howie-Whelan Equation for a Strained Crystal ni
contained in op Initial Value for Electron Scattering ni
description ap "In solid state physics, the reciprocal lattice emerges from the Fourier transform of the direct lattice which is a periodic function in physical space, such as a crystal system (usually a Bravais lattice). The reciprocal lattice exists in the mathematical space of spatial frequencies, known as reciprocal space or k space, which refers to the wavevector."@en
MaRDI ID ap Item: Q6674030 ep
Wikidata ID ap Q164129 ep

Reciprocal Lattice Vectorsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReciprocalLatticeVectors

mathematical constructs used in the study of periodic structures
belongs to
Quantity c
has facts
contained in op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
contained in op Darwin-Howie-Whelan Equation for a Strained Crystal ni
contained in op Initial Value for Electron Scattering ni
description ap "In solid state physics, the reciprocal lattice emerges from the Fourier transform of the direct lattice which is a periodic function in physical space, such as a crystal system (usually a Bravais lattice). The reciprocal lattice exists in the mathematical space of spatial frequencies, known as reciprocal space or k space, which refers to the wavevector."@en
MaRDI ID ap Item: Q6674031 ep
Wikidata ID ap Q164129 ep

Recombination of Electron Hole Pairsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RecombinationOfElectronHolePairs

combined effect of recombination and generation of electron-hole pairs
belongs to
Quantity c
has facts
contained in op Continuity Equation for Electrons ni
contained in op Continuity Equation for Holes ni
specializes op Reaction Rate Constant ni
description ap "For use in semiconductor physics; strictly speaking, the combined effect of recombination and generation of electron-hole pairs"@en
MaRDI ID ap Item: Q6673889 ep

Recurrent Neural Networkni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RecurrentNeuralNetwork

class of artificial neural network where connections between units form a directed graph along a temporal sequence
belongs to
Mathematical Model c
has facts
specialized by op Recurrent Neural Network Surrogate for Discrete Element Method ni
specializes op Artificial Neural Network ni
Wikidata ID ap Q1457734 ep

Recurrent Neural Network Surrogate for Discrete Element Methodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RecurrentNeuralNetworkSurrogateForDiscreteElementMethod

surrogate model employing recurrent neural networks to approximate discrete element method simulations
belongs to
Mathematical Model c
has facts
contains op Linear Discrete Element Method ni
described as studied by op Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction ni
described by op Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction ni
models op Efficient Numerical Simulation of Soil-Tool Interaction ni
specializes op Artificial Neural Network ni
specializes op Recurrent Neural Network ni

Regionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Region

area of land that shares common features, which can be either natural or artificial
belongs to
Quantity c
has facts
contained in op Contact Network ni
contained in op Contact Network Constraint ni
contained in op Susceptible Infectious Epidemic Spreading ODE System ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673884 ep
Wikidata ID ap Q82794 ep

Region Connectivityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RegionConnectivity

connectivity between regions
belongs to
Quantity c
has facts
contained in op Contact Network ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673885 ep

Relative Removal Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RelativeRemovalRate

probability that one infective will be removed from the infection process during a unit time interval
belongs to
Quantity c
has facts
contained in op Condition for Positive Solutions in the Multi-Population SIR Model ni
contained in op Condition for Positive Solutions in the Multi-Population SIS Model ni
contained in op Condition for Positive Solutions in the SIR Model ni
contained in op Condition for Positive Solutions in the SIR Model with Births and Deaths ni
contained in op Condition for Positive Solutions in the SIS Model ni
contained in op Condition for Positive Solutions in the SIS Model with Births and Deaths ni
contained in op Continuous Rate of Change of Infectious in the SIR Model ni
contained in op Continuous Rate of Change of Infectious in the SIS Model ni
contained in op Continuous Rate of Change of Removed in the SIR Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIS Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIR Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIS Model ni
contained in op Infectious at Time Step n+1 in the SIR Model ni
contained in op Infectious at Time Step n+1 in the SIR Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model with Births and Deaths ni
contained in op Removed at Time Step n+1 in the Multi-Population Discrete SIR Model ni
contained in op Removed at Time Step n+1 in the Discrete SIR Model ni
contained in op Removed at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni
contained in op Second Condition for Positive Solutions in the Multi Population SIS Model ni
contained in op Second Condition for Positive Solutions in the SIS Model ni
contained in op Second Condition for Positive Solutions in the SIS Model with Births and Deaths ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIR Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model ni
specializes op Rate ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673878 ep

Relativistic Momentumni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RelativisticMomentum

momentum of a particle in special relativity
belongs to
Quantity c
has facts
contained in op Nonrelativistic Approximation ni
contained in op Relativistic Momentum ni
contains op Classical Velocity ni
contains op Mass ni
contains op Relativistic Momentum ni
contains op Speed of Light ni
specializes op Momentum ni
defining formulation dp "$p\equiv\frac{mv}{\sqrt{1-\frac{v^2}{c^2}}}$"^^La Te X ep
in defining formulation dp "$c$, Speed of Light"^^La Te X ep
in defining formulation dp "$m$, Mass"^^La Te X ep
in defining formulation dp "$p$, Relativistic Momentum"^^La Te X ep
in defining formulation dp "$v$, Classical Velocity"^^La Te X ep
MaRDI ID ap Item: Q6674075 ep

Removedni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Removed

general quantity for removed entities
belongs to
Quantity c
has facts
specialized by op Number of Removed Individuals ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
alt Label ap "Recovered"@en
alt Label ap "Resistant"@en
MaRDI ID ap Item: Q6674114 ep

Removed at Time Step n+1 in the Discrete SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RemovedAtTimeStepInTheSIRModel

equation for removed individuals in the SIR Model
belongs to
Mathematical Formulation c
has facts
contained in op Discrete Susceptible Infectious Removed Model ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Removed Individuals ni
contains op Time Step ni
discretizes op Continuous Rate of Change of Removed in the SIR Model ni
defining formulation dp "$R_{n+1} = R_n + \gamma \Delta t I_n$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$R_n$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674560 ep

Removed at Time Step n+1 in the Discrete SIR Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RemovedAtTimeStepInTheSIRModelWithBirthsAndDeaths

equation for removed individuals in the discrete SIR Model with births and deaths
belongs to
Mathematical Formulation c
has facts
contained in op Susceptible Infectious Removed Model with Births and Deaths ni
contains op Birth Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Removed Individuals ni
contains op Time Step ni
defining formulation dp "$R_{n+1} = R_n(1 - \beta \Delta t) + \gamma \Delta t I_n$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$R_n$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674561 ep

Removed at Time Step n+1 in the Multi-Population Discrete SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RemovedAtTimeStepInTheMultiPopulationSIRModel

equation for removed individuals in the discrete multi-population SIR Model
belongs to
Mathematical Formulation c
has facts
contained in op Multi-Population Discrete Susceptible Infectious Removed Model ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Removed Individuals ni
contains op Time Step ni
defining formulation dp "$R_{n+1}^i = R_n^i + \gamma_i \Delta t I_n^i$"^^La Te X ep
in defining formulation dp "$I_n^i$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$R_n^i$, Number of Removed Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674559 ep

Reynolds Numberni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ReynoldsNumber

dimensionless quantity that is used to help predict similar flow patterns in different fluid flow situations
belongs to
Quantity c
has facts
contained in op Creeping Flow Assumption ni
contains op Characteristic Length ni
contains op Fluid Density ni
contains op Fluid Dynamic Viscosity (Free Flow) ni
contains op Fluid Kinematic Viscosity (Free Flow) ni
contains op Fluid Velocity (Free Flow) ni
specializes op Real Number (Dimensionless) ni
defining formulation dp "$\mathrm{Re} \equiv \frac{u L}{\nu} = \frac{\rho u L}{\mu} $"^^La Te X ep
in defining formulation dp "$L$, Characteristic Length"^^La Te X ep
in defining formulation dp "$\mu$, Fluid Dynamic Viscosity (Free Flow)"^^La Te X ep
in defining formulation dp "$\nu$, Fluid Kinematic Viscosity (Free Flow)"^^La Te X ep
in defining formulation dp "$\rho$, Fluid Density"^^La Te X ep
in defining formulation dp "$u$, Fluid Velocity (Free Flow)"^^La Te X ep
is dimensionless dp "true"^^boolean
description ap "At low Reynolds numbers, flows tend to be dominated by laminar (sheet-like) flow, while at high Reynolds numbers, flows tend to be turbulent."@en
MaRDI ID ap Item: Q6674019 ep
Wikidata ID ap Q178932 ep

Right Hand Side Of Differential Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RightHandSideOfDifferentialEquation

function occuring on the right-hand-side of an (ordinary or partial) differential equation
belongs to
Quantity c
has facts
contained in op Euler Backward Method ni
contained in op Euler Forward Method ni
MaRDI ID ap Item: Q6673961 ep

Risk of Deathni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RiskOfDeath

risk (or hazard) of death, at a certain age
belongs to
Quantity c
has facts
contained in op Gamma-Gompertz–Makeham Law ni
contained in op Poisson-Distributed Deaths ni
contained in op Poisson log-Likelihood ni
specializes op Rate ni
MaRDI ID ap Item: Q6674001 ep
QUDT ID ap Incidence Rate ep

Roman Archaeologyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RomanArchaeology

archaeological sub-discipline
belongs to
Research Field c
has facts
contains op Romanization Spreading in Northern Tunesia ni
specializes op Archaeology ni
MaRDI ID ap Item: Q6684712 ep
Wikidata ID ap Q44097629 ep

Romanization Spreading in Northern Tunesiani back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RomanizationSpreadingInNorthernTunesia

understanding the mechanisms and dynamics of Romanization spreading in Northern Tunisia
belongs to
Research Problem c
has facts
contained in op Roman Archaeology ni
described as studied by op Kostré (2022) Understanding the romanization spreading on historical interregional networks in Northern Tunisia ni
described by op Kostré (2022) Understanding the romanization spreading on historical interregional networks in Northern Tunisia ni
modeled by op Susceptible Infectious Epidemic Spreading Model ni
description ap "Understanding the mechanisms and dynamics of Romanization spreading in Northern Tunisia from 146 BC to 350 AD based on sparse and fragmented archaeological data."@en
MaRDI ID ap Item: Q6684672 ep

Romanization Time Evolutionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RomanizationTimeEvolution

given a set of initially infected cities, a contact network, and a time-dependent spreading rate, the spreading curve for the romanization is calculated
belongs to
Computational Task c
has facts
contains op Spreading Curve (Approximate) ni
contains op Contact Network ni
contains op Number of Susceptible Cities ni
contains op Spreading Rate (Time-dependent) ni
contains op Susceptible Infectious Epidemic Spreading ODE System ni
contains input op Number of Susceptible Cities ni
contains output op Spreading Curve (Approximate) ni
contains output op Number of Susceptible Cities ni
contains parameter op Contact Network ni
contains parameter op Spreading Rate (Time-dependent) ni
uses op Susceptible Infectious Epidemic Spreading Model ni
MaRDI ID ap Item: Q6684616 ep

Romanized Cities Vectorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RomanizedCitiesVector

observed number of romanized cities
belongs to
Quantity c
has facts
contained as input in op Romanization Parameter Estimation ni
contained in op Loss Function (Romanization) ni
contained in op Romanization Parameter Estimation ni
contained in op Weight Factor ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674051 ep

Rotational Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RotationalConstant

scale of rotational energies in molecular spectroscopy
belongs to
Quantity c
has facts
contained as input in op Quantum Conditional Quasi-Solvability ni
contained in op Anharmonicity Constant (Perturbation Theory) ni
contained in op Quantum Conditional Quasi-Solvability ni
contained in op Quantum Eigen Energy (Linear Non-Rigid Rotor) ni
contained in op Quantum Eigen Energy (Linear Rigid Rotor) ni
contained in op Quantum Hamiltonian (Linear Rotor) ni
contained in op Quantum Hamiltonian (Non-Rigid Rotor) ni
contained in op Quantum Hamiltonian (Symmetric Top) ni
description ap "In rotational spectroscopy, the energy levels of a molecule are often given in terms of its rotational constant"@en
MaRDI ID ap Item: Q6673746 ep
Wikidata ID ap Q904380 ep

Runge–Kutta Methodni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#RungeKuttaMethod

family of implicit and explicit methods used in temporal discretization for the approximate solutions of differential equations
belongs to
Mathematical Formulation c
has facts
specialized by op Darcy Equation (Euler Backward) ni
specialized by op Euler Backward Method ni
specialized by op Euler Forward Method ni
specialized by op Stokes Equation (Euler Backward) ni
defining formulation dp "$\begin{array}{c|cccc} c_1 & a_{11} & a_{12}& \dots & a_{1s}\\c_2 & a_{21} & a_{22}& \dots & a_{2s}\\ \vdots & \vdots & \vdots& \ddots& \vdots\\c_s & a_{s1} & a_{s2}& \dots & a_{ss} \\\hline & b_1 & b_2 & \dots & b_s\\ \end{array}$"^^La Te X ep
description ap "These methods, which include the Euler method, were developed around 1900 by the German mathematicians Carl Runge and Wilhelm Kutta."@en
MaRDI ID ap Item: Q6674564 ep
Wikidata ID ap Q725944 ep

Scaling Parameter for Switching Influencersni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ScalingParameterForSwitchingInfluencers

scaling parameter used in the rate of switching influencers
belongs to
Quantity c
has facts
contained in op Rate of Switching Influencers Formulation ni
specializes op Real Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674113 ep

Scharfetter-Gummel Schemeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ScharfetterGummelScheme

finite volume disretization scheme for solving the van Roosbroeck system describing the semi-classical transport of free electrons and holes
belongs to
Mathematical Model c
has facts
contains op Continuity Equation for Electrons (Finite Volume) ni
contains op Continuity Equation for Holes (Finite Volume) ni
contains op Poisson Equation for the Electric Potential (Finite Volume) ni
discretizes op Drift-Diffusion Model ni
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
is space-continuous dp "false"^^boolean
description ap "The Scharfetter-Gummel finite volume disretization scheme is the standard numerical method for solving the drift diffusion (aka van Roosbroeck) system describing the semi-classical transport of free electrons and holes in a self-consistent electric field using a drift-diffusion approximation."@en
MaRDI ID ap Item: Q6675388 ep
Wikidata ID ap Q119844 ep

Schrödinger Equation (Chebychev Polynomial)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchrödingerEquationChebychevPolynomial

Chebchev polynomial scheme for numerical integration of the time-dependent Schrödinger equation
belongs to
Mathematical Formulation c
has facts
assumes op Closed System Approximation ni
discretizes op Schrödinger Equation (Time Dependent) ni
is time-continuous dp "false"^^boolean
DOI ap 0021 9991(91)90137 A ep
DOI ap 1.448136 ep
MaRDI ID ap Item: Q6674566 ep

Schrödinger Equation (Differencing Scheme)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchrödingerEquationDifferencingScheme

differencing scheme (symmetric combination of Euler forward and backward in time) for numerical integration of the time-dependent Schrödinger equation
belongs to
Mathematical Formulation c
has facts
contains op Euler Backward Method ni
contains op Euler Forward Method ni
discretizes op Schrödinger Equation (Time Dependent) ni
specialized by op Schrödinger Equation (Second Order Differencing) ni
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674567 ep

Schrödinger Equation (Lie-Trotter)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchrödingerEquationLieTrotter

first order (Lie-Trotter) split operator scheme for numerical integration of the time-dependent Schrödinger equation
belongs to
Mathematical Formulation c
has facts
contains op Imaginary Unit ni
contains op Planck Constant ni
contains op Quantum Kinetic Operator ni
contains op Quantum Potential Operator ni
contains op Quantum State Vector (Dynamic) ni
contains op Time Step ni
discretizes op Schrödinger Equation (Time Dependent) ni
specializes op Schrödinger Equation (Split Operator) ni
defining formulation dp "$|\psi(t+\Delta t)\rangle=\exp(-i\Delta t\hat{T}/ \hbar)\exp(-i\Delta t\hat{V}/ \hbar)|\psi(t)\rangle + \mathcal{O}(\Delta t)$"^^La Te X ep
in defining formulation dp "$T$, Quantum Kinetic Operator"^^La Te X ep
in defining formulation dp "$V$, Quantum Potential Operator"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\hbar$, Planck constant"^^La Te X ep
in defining formulation dp "$\mathrm{i}$, Imaginary Unit"^^La Te X ep
in defining formulation dp "$\psi$, Quantum State Vector (Dynamic)"^^La Te X ep
is time-continuous dp "false"^^boolean
DOI ap 0021 9991(82)90091 2 ep
DOI ap 0021 9991(91)90137 A ep
DOI ap 1.444501 ep
MaRDI ID ap Item: Q6674568 ep

Schrödinger Equation (Second Order Differencing)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchrödingerEquationSecondOrderDifferencing

second order differencing scheme for numerical integration of the time-dependent Schrödinger equation
belongs to
Mathematical Formulation c
has facts
contains op Euler Backward Method ni
contains op Euler Forward Method ni
contains op Imaginary Unit ni
contains op Planck Constant ni
contains op Quantum Hamiltonian Operator ni
contains op Quantum State Vector (Dynamic) ni
contains op Time Step ni
discretizes op Schrödinger Equation (Time Dependent) ni
similar to op Classical Newton Equation (Stoermer Verlet) ni
similar to op Schrödinger Equation (Second Order Differencing) ni
specializes op Schrödinger Equation (Differencing Scheme) ni
defining formulation dp "$|\psi(t+\Delta t)\rangle = |\psi(t-\Delta t)\rangle -2i\Delta t \hat{H}/\hbar |\psi(t)\rangle + \mathcal{O}(\Delta t)^3$"^^La Te X ep
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\hbar$, Planck constant"^^La Te X ep
in defining formulation dp "$\mathrm{i}$, Imaginary Unit"^^La Te X ep
in defining formulation dp "$\psi$, Quantum State Vector (Dynamic)"^^La Te X ep
is time-continuous dp "false"^^boolean
description ap "Essentially a symmetric (and symplectic!) combination of Euler forward and backward methods"@en
DOI ap 0021 9991(91)90137 A ep
DOI ap 1.436072 ep
MaRDI ID ap Item: Q6674270 ep

Schrödinger Equation (Split Operator)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchrödingerEquationSplitOperator

split operator scheme for numerical integration of the time-dependent Schrödinger equation
belongs to
Mathematical Formulation c
has facts
discretizes op Schrödinger Equation (Time Dependent) ni
specialized by op Schrödinger Equation (Lie-Trotter) ni
specialized by op Schrödinger Equation (Strang-Marchuk) ni
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674569 ep

Schrödinger Equation (Strang-Marchuk)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchrödingerEquationStrangMarchuk

second order (Strang-Marchuk) split operator scheme for numerical integration of the time-dependent Schrödinger equation
belongs to
Mathematical Formulation c
has facts
contains op Planck Constant ni
contains op Quantum Kinetic Operator ni
contains op Quantum Potential Operator ni
contains op Quantum State Vector (Dynamic) ni
contains op Time Step ni
discretizes op Schrödinger Equation (Time Dependent) ni
similar to op Classical Hamilton Equations (Leap Frog) ni
similar to op Schrödinger Equation (Strang-Marchuk) ni
specializes op Schrödinger Equation (Split Operator) ni
defining formulation dp "$|\psi(t+\Delta t)\rangle=\exp(-i\Delta t\hat{T}/ (2\hbar))\exp(-i\Delta t\hat{V}/ \hbar)\exp(-i\Delta t\hat{T}/ (2\hbar))|\psi(t)\rangle + \mathcal{O}(\Delta t)^2$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\hat{T}$, Quantum Kinetic Operator"^^La Te X ep
in defining formulation dp "$\hat{V}$, Quantum Potential Operator"^^La Te X ep
in defining formulation dp "$\hbar$, Planck constant"^^La Te X ep
in defining formulation dp "$\mathrm{i}$, Imaginary Unit"^^La Te X ep
in defining formulation dp "$\psi(t)$, Quantum State Vector (Dynamic)"^^La Te X ep
is time-continuous dp "false"^^boolean
DOI ap 0021 9991(82)90091 2 ep
DOI ap 0021 9991(91)90137 A ep
DOI ap 1.444501 ep
MaRDI ID ap Item: Q6674266 ep
Wikidata ID ap Q25303744 ep

Schrödinger Equation (Time Dependent)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchroedingerEquationTimeDependent

partial differential equation describing how the quantum state of a non-relativistic physical system changes with time
belongs to
Mathematical Formulation c
has facts
assumes op Closed System Approximation ni
contained in op Electron Shuttling Model ni
contained in op Quantum Model (Closed System) ni
contained in op Quantum Time Evolution ni
contained in op Schrödinger-Newton Equation ni
contains op Imaginary Unit ni
contains op Planck Constant ni
contains op Quantum Hamiltonian (Electric Charge) ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Hamiltonian Operator ni
contains op Quantum State Vector (Dynamic) ni
contains op Time ni
discretized by op Schrödinger Equation (Chebychev Polynomial) ni
discretized by op Schrödinger Equation (Differencing Scheme) ni
discretized by op Schrödinger Equation (Lie-Trotter) ni
discretized by op Schrödinger Equation (Second Order Differencing) ni
discretized by op Schrödinger Equation (Split Operator) ni
discretized by op Schrödinger Equation (Strang-Marchuk) ni
specialized by op Classical Hamilton Equations ni
specialized by op Classical Newton Equation ni
specialized by op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
specialized by op Darwin-Howie-Whelan Equation for a Strained Crystal ni
specialized by op Schrödinger Equation (Time Independent) ni
specializes op Liouville-von Neumann Equation ni
defining formulation dp "$\mathrm{i} \hbar \frac{\partial}{\partial t} | \psi (t) \rangle = \hat{H} | \psi (t) \rangle$"^^La Te X ep
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$\hbar$, Planck Constant"^^La Te X ep
in defining formulation dp "$\mathrm{i}$, Imaginary Unit"^^La Te X ep
in defining formulation dp "$\psi(t)$, Quantum State Vector (Dynamic)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "One of the fundamental postulates of Quantum Mechanics on the time evolution of quantum states."@en
MaRDI ID ap Item: Q6534305 ep
Wikidata ID ap Q165498 ep

Schrödinger Equation (Time Independent)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchrödingerEquationTimeIndependent

eigenvalue equation for the quantum-mechanical Hamiltonian operator, yielding stationary states (wave functions), along with their corresponding energies
belongs to
Mathematical Formulation c
has facts
assumes op Time Independence of Hamiltonian ni
contained in op Electron Shuttling Model ni
contained in op Quantum Conditional Quasi-Solvability ni
contained in op Quantum Stationary States ni
contains op Quantum Eigen Energy ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Hamiltonian Operator ni
contains op Quantum Number ni
contains op Quantum State Vector (Stationary) ni
specialized by op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
specialized by op Darwin-Howie-Whelan Equation for a Strained Crystal ni
specializes op Liouville-von Neumann Equation ni
specializes op Schrödinger Equation (Time Dependent) ni
defining formulation dp "$\hat H | \psi_n \rangle = E_n | \psi_n \rangle$"^^La Te X ep
in defining formulation dp "$E_n$, Quantum Eigen Energy"^^La Te X ep
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$\psi_n$, Quantum State Vector (Stationary)"^^La Te X ep
in defining formulation dp "$n$, Quantum Number"^^La Te X ep
MaRDI ID ap Item: Q6534310 ep
Wikidata ID ap Q25829357 ep

Schrödinger-Newton Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SchroedingerNewtonEquation

coupled equations describing the time evolution in (hybrid) quantum-classical dynamics
belongs to
Mathematical Formulation c
has facts
contained in op Quantum Classical Model ni
contains op Classical Newton Equation ni
contains op Schrödinger Equation (Time Dependent) ni
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
MaRDI ID ap Item: Q6674547 ep

Second Condition for Positive Solutions in the Multi Population SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SecondConditionForPositiveSolutionsInTheMultiPopulationSIS_Model

positive solution condition
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Multi-Population Discrete Susceptible Infectious Susceptible Model ni
contained in op Multi-Population Discrete Susceptible Infectious Susceptible Model ni
contains op Between Population Contact Rate ni
contains op Relative Removal Rate ni
contains op Time Step ni
defining formulation dp "$\alpha_{ii} \Delta t \leq (\sqrt{1 - a_i} + \sqrt{ \gamma_i \Delta t})^2$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\gamma_i$, Relative Removal Rate"^^La Te X ep
in defining formulation dp "$a_i$, Between Population Contact Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674570 ep

Second Condition for Positive Solutions in the SIR Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SecondConditionForPositiveSolutionsInTheSIRModelWithBirthsAndDeaths

positive solution condition
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Susceptible Infectious Removed Model with Births and Deaths ni
contained in op Susceptible Infectious Removed Model with Births and Deaths ni
contains op Birth Rate ni
contains op Contact Rate ni
contains op Time Step ni
defining formulation dp "$\alpha \Delta t \leq ( 1 + \sqrt{ \beta \Delta t})^2$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674571 ep

Second Condition for Positive Solutions in the SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SecondConditionForPositiveSolutionsInTheSISModel

positive solution condition
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Discrete Susceptible Infectious Susceptible Model ni
contained in op Discrete Susceptible Infectious Susceptible Model ni
contains op Contact Rate ni
contains op Relative Removal Rate ni
contains op Time Step ni
defining formulation dp "$\alpha \Delta t < ( 1 + \sqrt{ \gamma \Delta t})^2$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674572 ep

Second Condition for Positive Solutions in the SIS Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SecondConditionForPositiveSolutionsInTheSISModelWithBirthsAndDeaths

positive solution condition
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Susceptible Infectious Susceptible Model with Births and Deaths ni
contained in op Susceptible Infectious Susceptible Model with Births and Deaths ni
contains op Birth Rate ni
contains op Contact Rate ni
contains op Relative Removal Rate ni
contains op Time Step ni
defining formulation dp "$\alpha \Delta t < ( 1 + \sqrt{ (\beta + \gamma) \Delta t})^2$"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674573 ep

Second Eigenvalue of Orthogonal Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SecondEigenvalueofOrthogonalMatrix

second eigenvalue of an orthogonal matrix
belongs to
Quantity c
has facts
contained in op Object Committor Function Formulation ni
MaRDI ID ap Item: Q6674091 ep

SEIR Derivative Relationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SEIRDerivativerelation

derivative relation
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Diffusion Coefficient for SEIR Model ni
contains op Fraction of Population Density of Exposed ni
contains op Fraction of Population Density of Infectious ni
contains op Fraction of Population Density of Removed ni
contains op Fraction of Population Density of Susceptibles ni
contains op Unit Outer Normal Vector ni
defining formulation dp "$\nu^T D \nabla s =\nu^T D \nabla e=\nu^T D \nabla i=\nu^T D \nabla r=0 $"^^La Te X ep
in defining formulation dp "$D$, 'Diffusion Coefficient for SEIR Model'"^^La Te X ep
in defining formulation dp "$\nu$, Unit Outer Normal Vector"^^La Te X ep
in defining formulation dp "$e$, Fraction of Population Density of Exposed"^^La Te X ep
in defining formulation dp "$i$, Fraction of Population Density of Infectious"^^La Te X ep
in defining formulation dp "$r$, Fraction of Population Density of Removed"^^La Te X ep
in defining formulation dp "$s$, Fraction of Population Density of Susceptibles"^^La Te X ep
MaRDI ID ap Item: Q6674565 ep

Semiconductor Charge Neutralityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SemiconductorChargeNeutrality

concept of local charge neutrality in semiconductor
belongs to
Computational Task c
has facts
contains op Applied External Voltage ni
contains op Dirichlet Boundary Condition for Electric Potential ni
contains op Electric Potential ni
contains op Electrode Interfaces ni
contains op Laplace Equation for the Electric Potential ni
contains op Neumann Boundary Condition for Electric Potential ni
contains op Periodic Boundary Condition for Electric Potential ni
contains op Permittivity (Dielectric) ni
contains op Permittivity (Vacuum) ni
contains constant op Permittivity (Vacuum) ni
contains input op Applied External Voltage ni
contains input op Electrode Interfaces ni
contains input op Permittivity (Dielectric) ni
contains output op Electric Potential ni
specializes op Semiconductor Thermal Equilibrium ni
uses op Drift-Diffusion Model ni
uses op Electron Shuttling Model ni
description ap "The physical concept of local charge neutrality in semiconductor is characterized by the absence of space charge regions. Hence, the Poisson equation for the electric field potential simplifies to the Laplace equation."@en
MaRDI ID ap Item: Q6534341 ep

Semiconductor Current Voltageni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SemiconductorCurrentVoltage

calculating IV-curves displaying the current voltage charateristics of a semiconductor device
belongs to
Computational Task c
has facts
contains op Permittivity (Vacuum) ni
contains constant op Permittivity (Vacuum) ni
uses op Drift-Diffusion Model ni
description ap "In simulations of semiconductor devices, one is usually interested in IV-curves displaying the current voltage charateristics, i.e., the dependence of terminal currents on applied voltages. Therefore, calculating terminal currents accurately is crucial to a successful postprocessing of the simulated field data."@en
MaRDI ID ap Item: Q6684618 ep

Semiconductor Physicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SemiconductorPhysics

study of semiconductor materials and devices
belongs to
Research Field c
has facts
contains op Current Flow in Semiconductor Devices ni
contains op Spin Qbit Shuttling ni
MaRDI ID ap Item: Q6534344 ep
Wikidata ID ap Q4483523 ep

Semiconductor Thermal Equilibriumni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SemiconductorThermalEquilibrium

enforce that the drift-diffusion model of a semiconductor is consistent with the thermodynamic equilibrium
belongs to
Computational Task c
has facts
contains op Permittivity (Vacuum) ni
contains constant op Permittivity (Vacuum) ni
specialized by op Semiconductor Charge Neutrality ni
uses op Drift-Diffusion Model ni
description ap "The goal is to enforce that the drift-diffusion model (aka van Roosbroeck model) of a semiconductor is consistent with the thermodynamic equilibrium, which is a physical state defined by vanishing currents:"@en
MaRDI ID ap Item: Q6684617 ep

Sensitivity Analysis of Complex Kinetic Systemsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SensitivityAnalysisOfComplexKineticSystems

study of uncertainty in complex kinetic systems
belongs to
Computational Task c
has facts
uses op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
uses op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
uses op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
uses op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
uses op Uni Uni Reaction (ODE Model) ni
MaRDI ID ap Item: Q6684555 ep
Wikidata ID ap Q1889114 ep

Sensory Organ Currentni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SensoryOrganCurrent

sensory organ current
belongs to
Quantity c
has facts
contained in op Motor Neuron Pool ODE System ni
specializes op Electric Current ni
MaRDI ID ap Item: Q6674071 ep

Sensory Organ Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SensoryOrganEquation

representing a sensory organ
belongs to
Mathematical Formulation c
has facts
contained in op Sensory Organ Model ni
contains op Fiber Contraction Velocity ni
contains op Fiber Stretch ni
contains op Muscle Spindle Firing Rate ni
contains op Number of Spindles ni
defining formulation dp "$$I_\text{spindle} = \sum^{N_\text{spindle}}_{j=1} w_jIa_j\left(\lambda^{j}_{\text{f}}, \dot{\lambda}^{j}_{\text{f}}\right)$$"^^La Te X ep
in defining formulation dp "$Ia_j$, Muscle Spindle Firing Rate"^^La Te X ep
in defining formulation dp "$N$, Number of Spindles"^^La Te X ep
in defining formulation dp "$\dot{\lambda}_{\text{f}}$, Fibre Contraction Velocity"^^La Te X ep
in defining formulation dp "$\lambda_{\text{f}}$, Fibre Stretch"^^La Te X ep
MaRDI ID ap Item: Q6674574 ep

Sensory Organ Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SensoryOrganModel

mathematical model to detect macroscopic length change in the muscels and provide the motor neurons with this information.
belongs to
Mathematical Model c
has facts
contains op Sensory Organ Equation ni
described as studied by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
described by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
models op Muscle Movement ni
is deterministic dp "true"^^boolean
is linear dp "true"^^boolean
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
DOI ap gamm.202370009 ep
MaRDI ID ap Item: Q6675439 ep

Simulation of Complex Kinetic Systemsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SimulationOfComplexKineticSystems

study of the time-dependent behavior of complex kinetic systems
belongs to
Computational Task c
has facts
uses op Bi Bi Reaction Ordered Mechanism (ODE Model) ni
uses op Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model) ni
uses op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
uses op Bi Bi Reaction Theorell-Chance Mechanism (ODE Model) ni
uses op Uni Uni Reaction (ODE Model) ni
MaRDI ID ap Item: Q6684556 ep

Simulation of TEM Imagesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SimulationOfTEMImages

simulating TEM (transmission electron microscopy) images by means of the Darwin Howie Whelan equation
belongs to
Computational Task c
has facts
uses op Dynamical Electron Scattering Model ni
DOI ap s11082 020 02356 y ep
DOI ap rspa.2022.0317 ep
MaRDI ID ap Item: Q6684619 ep

Slyke (1914) The mode of action of urease and of enzymes in generalni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Slyke_1914_The_mode_of_action_of_urease_and_of_enzymes_in_general

publication
belongs to
Publication c
has facts
describes op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
describes invention of op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
DOI ap S0021 9258(18)88300 4 ep

Solar System Equations of Motionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SolarSystemEquationsOfMotion

mathematical formulation describing the motion of the planets around the sun
belongs to
Mathematical Formulation c
has facts
contained in op Solar System Model ni
contains op Classical Acceleration ni
contains op Classical Position ni
contains op Gravitational Constant ni
contains op Mass ni
defining formulation dp "$\vec{a}_j = \sum_{i \neq j}^n G \frac{M_i}{|\vec{r}_i - \vec{r}_j|^3} (\vec{r}_i - \vec{r}_j)$"^^La Te X ep
in defining formulation dp "$G$, Gravitational Constant"^^La Te X ep
in defining formulation dp "$a$, Classical Acceleration"^^La Te X ep
in defining formulation dp "$m$, Mass"^^La Te X ep
in defining formulation dp "$r$, Classical Position"^^La Te X ep
description ap "The acceleration of a celestial body can be calculated from Newton's Law of Gravitation. Each body attracts each other body, the total acceleration being the sum of all these attractions."@en
MaRDI ID ap Item: Q6674575 ep
Wikidata ID ap Q7069658 ep

Solar System Mechanicsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SolarSystemMechanics

study of the motion of the planets within our solar system
belongs to
Research Problem c
has facts
contained in op Celestial Mechanics ni
modeled by op Solar System Model ni
description ap ""@en
MaRDI ID ap Item: Q6684681 ep
Wikidata ID ap Q184274 ep

Solar System Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SolarSystemModel

classical mechanics model of the sun (fixed) and the 8 planets (moving) as point masses
belongs to
Mathematical Model c
has facts
contains op Solar System Equations of Motion ni
models op Solar System Mechanics ni
description ap "Neglecting dwarf planets, satellites (e.g. Moon), asteroids, as well as the interaction with other stars or exoplanets. The numerical model of the Solar System consists of a set of mathematical equations, which, when solved, give the approximate positions of the planets as a function of time."@en
MaRDI ID ap Item: Q6675440 ep
Wikidata ID ap Q7069658 ep

Sort Ancient Egyptian Objectsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SortAncientEgyptianObjects

sort ancient egyptian objects
belongs to
Research Problem c
has facts
contained in op Egyptology ni
modeled by op Object Comparison Model ni
MaRDI ID ap Item: Q6684682 ep

Spatial Variableni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SpatialVariable

variable that describes a spatial dimension
belongs to
Quantity c
has facts
contained in op Control Volume ni
contained in op Poro-Visco-Elastic (Dirichlet Boundary) ni
contained in op Poro-Visco-Elastic (Neumann Boundary) ni
contained in op Poro-Visco-Elastic Quasistatic Equation ni
MaRDI ID ap Item: Q6673904 ep

Species Transportni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SpeciesTransport

transport of chemical species in some substance
belongs to
Research Problem c
has facts
contained in op Continuum Mechanics ni
modeled by op Diffusion Model ni
specializes op Transport of Matter ni
MaRDI ID ap Item: Q6684683 ep

Speed of Lightni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SpeedOfLight

speed of electromagnetic waves in vacuum
belongs to
Quantity c
has facts
contained in op Lorentz Force Equation (Relativistic) ni
contained in op Normal Mode Coordinate (Dimensionless) ni
contained in op Normal Mode Momentum (Dimensionless) ni
contained in op Relativistic Momentum ni
contained in op Speed of Light ni
contains op Permeability (Vacuum) ni
contains op Permittivity (Vacuum) ni
contains op Speed of Light ni
specializes op Velocity ni
defining formulation dp "$c \equiv \frac{1}{\sqrt{\epsilon_0 \mu_0}}$"^^La Te X ep
in defining formulation dp "$\epsilon_0$, Permittivity (Vacuum)"^^La Te X ep
in defining formulation dp "$\mu_0$, Permeability (Vacuum)"^^La Te X ep
in defining formulation dp "$c$, Speed of Light"^^La Te X ep
is physical constant dp "true"^^boolean
MaRDI ID ap Item: Q6674048 ep
QUDT ID ap Speed Of Light Vacuum ep
Wikidata ID ap Q2111 ep

Spherical Harmonics Expansion (3D)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SphericalHarmonicsExpansion3D

representing a function in 3D in terms of spherical harmonics with distance(radius)-dependent coefficients
belongs to
Mathematical Formulation c
has facts
contained in op Multipolar Expansion Model (3D) ni
contains op Azimuthal Angle ni
contains op Polar Angle ni
contains op Radius ni
defining formulation dp "$V(r,\theta,\varphi) = \sum_{\ell=0}^\infty\, \sum_{m=-\ell}^\ell C^m_\ell(r)\, Y^m_\ell(\theta,\varphi)$"^^La Te X ep
in defining formulation dp "$\theta$, Polar Angle"^^La Te X ep
in defining formulation dp "$\varphi$, Azimuthal Angle"^^La Te X ep
in defining formulation dp "$r$, Radius"^^La Te X ep
MaRDI ID ap Item: Q6674514 ep

Spin Qbit Shuttlingni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SpinQbitShuttling

novel functional elements in modular architectures of semiconductor quantum processors
belongs to
Research Problem c
has facts
contained in op Electromagnetism ni
contained in op Semiconductor Physics ni
modeled by op Control System Model ni
modeled by op Control System Model (Bilinear) ni
modeled by op Electron Shuttling Model ni
description ap "Spin-qubit shuttles are novel functional elements in modular architectures of semiconductor quantum processors, that have the capability of solving the scalability problem. Such coherent quantum links serve to interconnect different processor units and enable the transfer of quantum information over longer distances across the chip by physical transport of electrons."@en
DOI ap W I A S. P R E P R I N T.3082 ep
MaRDI ID ap Item: Q6534343 ep

Spreading Curve (Approximate)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ApproximateSpreadingCurve

approximate spreading curve through time
belongs to
Quantity c
has facts
contained as input in op Romanization Parameter Estimation ni
contained as output in op Romanization Time Evolution ni
contained in op Spreading Curve (Approximate, Formulation) ni
contained in op Loss Function (Romanization) ni
contained in op Romanization Parameter Estimation ni
contained in op Romanization Time Evolution ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673748 ep

Spreading Curve (Approximate, Formulation)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ApproximateSpreadingCurveFormulation

definition of approximate spreading curve through time
belongs to
Mathematical Formulation c
has facts
contains op Spreading Curve (Approximate) ni
contains op Initial Number of Infected Cities ni
contains op Number of Cities ni
contains op Number of Regions ni
contains op Rate of Change of Susceptible Cities ni
contains op Time ni
contains op Contact Network (Time-dependent) ni
contains initial condition op Initial Number of Infected Cities ni
defining formulation dp "$\phi (t\, |\,\sigma , i(0)) \equiv \left( P_m - \int _{0}^t \left. \frac{ds_m(\tau )}{d\tau } \right| _{\sigma , P_m - i(0)} d\tau \right) _{m = 1,\ldots ,N_R}$"^^La Te X ep
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
in defining formulation dp "$P_m$, Number of Cities"^^La Te X ep
in defining formulation dp "$\frac{ds_m(\tau)}{d\tau}$, Rate of Change of susceptible Cities"^^La Te X ep
in defining formulation dp "$\phi$, Spreading Curve (Approximate)"^^La Te X ep
in defining formulation dp "$\sigma$, Contact Network (Time-dependent)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is dimensionless dp "true"^^boolean
is dynamic dp "true"^^boolean
MaRDI ID ap Item: Q6674133 ep

Spreading Rate (Time-Dependent) Constraintni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SpreadingRateTimeDependentConstraint

constraints applying to time-dependent spreading rate
belongs to
Mathematical Formulation c
has facts
contained as constraint condition in op Romanization Parameter Estimation ni
contained in op Romanization Parameter Estimation ni
contains op Spreading Rate (Time-dependent) ni
defining formulation dp "$\forall \, t \ge 0,\, 0 \le \alpha (t) < \infty$"^^La Te X ep
in defining formulation dp "$\alpha$, Spreading Rate (Time-dependent)"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "false"^^boolean
MaRDI ID ap Item: Q6674562 ep

Spring Constantni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SpringConstant

constant of proportionality in Hooke’s law
belongs to
Quantity c
has facts
contained in op Hooke Law (Spring) ni
specializes op Force Constant (Anharmonic) ni
description ap "The spring constant is the constant of proportionality in Hooke’s law, assuming harmonic vibrations"@en
alt Label ap "Force Constant"@en
MaRDI ID ap Item: Q6673979 ep
Wikidata ID ap Q338261 ep

Stability Autonomous Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StabilityAutonomousSystem

asymptotic stability of fixed points of a system of constant coefficient linear differential equations of first order
belongs to
Mathematical Formulation c
has facts
assumed by op Lyapunov Equation ni
contains op Control System Matrix A ni
defining formulation dp "$\Re(eig(A))$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
description ap "The asymptotic stability of fixed points of a system of constant coefficient linear differential equations of first order (aka linear autonomious system, time-invariant system, $\dot{x}=Ax$) can be analyzed using the eigenvalues of the corresponding matrix."@en
MaRDI ID ap Item: Q6674576 ep
Wikidata ID ap Q1756677 ep

State Variableni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StateVariable

variable whose value is uniquely determined by the state of a dynamical system
belongs to
Quantity c
has facts
contained in op State Vector ni
MaRDI ID ap Item: Q6674117 ep
Wikidata ID ap Q7603913 ep

State Vectorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StateVector

vector comprising all the state variables of a system
belongs to
Quantity c
has facts
contained in op Lumped Activation Parameter ni
contained in op Subcellular DAE System ni
contains op State Variable ni
specialized by op Control System State ni
specialized by op Quantum State Vector ni
specialized by op Quantum State Vector (Dynamic) ni
specialized by op Quantum State Vector (Stationary) ni
MaRDI ID ap Item: Q6674054 ep

Statisticsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Statistics

study of the collection, analysis, interpretation, and presentation of data
belongs to
Research Field c
has facts
contains op Image Denoising ni
MaRDI ID ap Item: Q57236 ep
Wikidata ID ap Q12483 ep

Steady State Assumptionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SteadyStateAssumption

rate of bound enzyme formation and breakdown is equal
belongs to
Mathematical Formulation c
has facts
assumed by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
assumed by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) ni
assumed by op Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption) ni
assumed by op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
assumed by op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Complexed Enzyme Concentration ni
contains op Time ni
defining formulation dp "$\frac{dc_{EX}}{dt} = 0$"^^La Te X ep
in defining formulation dp "$c_{EX}$, Complexed Enzyme Concentration"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674154 ep

Stiffnessni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Stiffness

rigidity of an object
belongs to
Quantity Kind c
has facts
specialized by op Normal Stiffness ni
specialized by op Tangential Stiffness ni
Wikidata ID ap "https://www.wikidata.org/wiki/Q569057"

Stokes Darcy Coupling Conditionsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesDarcyCouplingConditions

coupling free flow of an incompressible fluid (Stokes) to a flow in/through a permeable media (Darcy)
belongs to
Mathematical Formulation c
has facts
contained as coupling condition in op Stokes Darcy Model ni
contained in op Stokes Darcy Model ni
contains op Beavers–Joseph-Saffman Condition ni
contains op Continuity of the Normal Mass Flux ni
contains op Continuity of the Normal Stresses ni
MaRDI ID ap Item: Q6674577 ep

Stokes Darcy Equation (Discretized, pv)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesDarcyEquationDiscretizedPV

discrete model of Stokes-Darcy as a pressure-velocity (pv) formulation
belongs to
Mathematical Formulation c
has facts
contained in op Stokes Darcy Model (Discretized) ni
contains op Fluid Pressure (Free Flow) ni
contains op Fluid Pressure (Porous Medium) ni
contains op Fluid Velocity (Free Flow) ni
defining formulation dp "$\begin{pmatrix} \begin{bmatrix} V & B \\ C & 0 \end{bmatrix} & \begin{bmatrix} B'_1 \\ 0 \end{bmatrix} \\ \begin{bmatrix} C'_1 & 0\end{bmatrix} & D' \end{pmatrix} \begin{pmatrix} \begin{bmatrix} v^{ff} \\ p^{ff} \end{bmatrix} \\ p^{pm} \end{pmatrix} = \begin{pmatrix} \begin{bmatrix} g \\ 0 \end{bmatrix} \\ 0 \end{pmatrix}$"^^La Te X ep
in defining formulation dp "$p^{ff}$, Fluid Pressure (Free Flow)"^^La Te X ep
in defining formulation dp "$p^{pm}$, Fluid Pressure (Porous Medium)"^^La Te X ep
in defining formulation dp "$v^{ff}$, Fluid Velocity (Free Flow)"^^La Te X ep
is space-continuous dp "false"^^boolean
description ap "Equation (9) from the referenced 2021 arXiv manuscript by Schmalfuss et al.: Discrete model of Stokes-Darcy as a pressure-velocity (pv) formulation, to be solved for every time step"@en
DOI ap ar Xiv.2108.13229 ep
MaRDI ID ap Item: Q6674578 ep

Stokes Darcy Equation (Discretized, td)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesDarcyEquationDiscretizedTD

discrete model of Stokes-Darcy as a two-domain (td) formulation
belongs to
Mathematical Formulation c
has facts
contained in op Stokes Darcy Model (Discretized) ni
contains op Fluid Pressure (Porous Medium) ni
defining formulation dp "$\begin{pmatrix} A' & B' \\ C' & D'\end{pmatrix} \begin{pmatrix} x^{ff} \\ p^{pm} \end{pmatrix} = \begin{pmatrix} b^{ff} \\ 0 \end{pmatrix}$"^^La Te X ep
in defining formulation dp "$p^{pm}$, Fluid Pressure (Porous Medium)"^^La Te X ep
is space-continuous dp "false"^^boolean
description ap "Equation (8) from the referenced 2021 arXiv manuscript by Schmalfuss et al.: Discrete model of Stokes-Darcy as a two-domain (td) formulation, to be solved for every time step"@en
DOI ap ar Xiv.2108.13229 ep
MaRDI ID ap Item: Q6674579 ep

Stokes Darcy Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesDarcyModel

free flow model of an incompressible fluid (Stokes model) coupled to a flow in/through a permeable media (Darcy equation)
belongs to
Mathematical Model c
has facts
contains op Darcy Model ni
contains op Stokes Model ni
contains op Stokes Darcy Coupling Conditions ni
contains coupling condition op Stokes Darcy Coupling Conditions ni
discretized by op Stokes Darcy Model (Discretized) ni
models op Free Flow Coupled to Porous Media Flow ni
DOI ap ar Xiv.2108.13229 ep
MaRDI ID ap Item: Q6675408 ep

Stokes Darcy Model (Discretized)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesDarcyModelDiscretized

discretized version of a Stokes Darcy model for the incompressible flow in/through porous media
belongs to
Mathematical Model c
has facts
contains op Darcy Model (Discretized) ni
contains op Stokes Darcy Equation (Discretized, pv) ni
contains op Stokes Darcy Equation (Discretized, td) ni
contains op Stokes Model (Discretized) ni
discretizes op Stokes Darcy Model ni
DOI ap j.camwa.2020.02.012 ep
MaRDI ID ap Item: Q6675441 ep

Stokes Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesEquation

describes a fluid flow with small advective inertial forces compared to viscous forces
belongs to
Mathematical Formulation c
has facts
assumes op Creeping Flow Assumption ni
contained in op Stokes Model ni
contains op Fluid Density ni
contains op Fluid Kinematic Viscosity (Free Flow) ni
contains op Fluid Pressure (Free Flow) ni
contains op Fluid Velocity (Free Flow) ni
contains op Identity Function ni
contains op Time ni
discretized by op Stokes Equation (Euler Backward) ni
discretized by op Stokes Equation (Finite Volume) ni
specializes op Navier Stokes Equation ni
defining formulation dp "$\begin{align} \frac{\partial v}{\partial t} + \nabla \cdot ( - \nu \left(\nabla v^{ff} + \nabla v^{\mathrm{ff,T}} \right)+ \rho^{-1} p^{ff} I ) &= 0 \\ \nabla \cdot v^{ff} &= 0 \end{align}$"^^La Te X ep
in defining formulation dp "$I$, Identity Function"@en
in defining formulation dp "$\nu$, Fluid Kinematic Viscosity (Free Flow)"^^La Te X ep
in defining formulation dp "$\rho$, Fluid Density"^^La Te X ep
in defining formulation dp "$p^{ff}$, Fluid Pressure (Free Flow)"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
in defining formulation dp "$v^{ff}$, Fluid Velocity (Free Flow)"^^La Te X ep
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "Stokes equation describes a fluid flow with small advective inertial forces compared to viscous forces, with a low Reynolds number. It occurs in situations with very slow fluid velocities, high viscosities, or small flow length scales."@en
alt Label ap "Creeping Flow"@en
alt Label ap "Creeping Motion"@en
alt Label ap "Stokes Flow"@en
alt Label ap "Stokes Law"@en
MaRDI ID ap Item: Q6674516 ep
Wikidata ID ap Q7618547 ep

Stokes Equation (Euler Backward)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesEquationEulerBackward

discretizing the Stokes equation by a first-oder backward Euler scheme in time
belongs to
Mathematical Formulation c
has facts
contained in op Stokes Model (Discretized) ni
discretizes op Stokes Equation ni
specializes op Euler Backward Method ni
specializes op Euler Method ni
specializes op Runge–Kutta Method ni
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674350 ep

Stokes Equation (Finite Volume)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesEquationFiniteVolume

discretizing the Stokes equation by a finite volume scheme in space
belongs to
Mathematical Formulation c
has facts
contained in op Stokes Model (Discretized) ni
discretizes op Stokes Equation ni
specializes op Finite Volume Method ni
is space-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674357 ep

Stokes Model (Discretized)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StokesModelDiscretized

discretized version of a Stokes model for a fluid flow with small advective inertial forces compared to viscous forces
belongs to
Mathematical Model c
has facts
contained in op Stokes Darcy Model (Discretized) ni
contains op Stokes Equation (Euler Backward) ni
contains op Stokes Equation (Finite Volume) ni
discretizes op Stokes Model ni
MaRDI ID ap Item: Q6675442 ep

Stress Free Muscle Lengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StressFreeMuscleLength

length at which a muscle generates minimal or no passive tension
belongs to
Quantity c
has facts
contained in op Passive Muscle Force ni
specializes op Length ni
MaRDI ID ap Item: Q6674100 ep

Stress Free Tendon Lengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StressFreeTendonLength

length of a tendon when it is not under any tension or stress
belongs to
Quantity c
has facts
contained in op Tendon Strain ni
specializes op Length ni
MaRDI ID ap Item: Q6674118 ep

Stress of Crystalni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StressOfCrystal

stress of a crystal used in theory of elasticity
belongs to
Quantity c
has facts
contained in op Momentum Balance Equation ni
contained in op Neumann Boundary Condition (Stress-Free Relaxation) ni
specialized by op Eigenstress of Crystal ni
specializes op Mechanical Stress ni
MaRDI ID ap Item: Q6673943 ep

Stress Tensor (Cauchy)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StressTensorCauchy

stress relative to the present configuration
belongs to
Quantity c
has facts
similar to op Stress Tensor (Cauchy) ni
similar to op Stress Tensor (Piola-Kirchhoff) ni
specializes op Mechanical Stress ni
description ap "In the case of finite deformations, the Cauchy stress tensors express the stress relative to the present configuration. This is in contrast to the Piola–Kirchhoff stress tensor which expresses the stress relative to the reference configuration. For infinitesimal deformations and rotations, the Cauchy and Piola–Kirchhoff tensors are identical."@en
MaRDI ID ap Item: Q6674119 ep
Wikidata ID ap Q13409892 ep

Stress Tensor (Piola-Kirchhoff)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#StressTensorPiolaKirchhoff

stress relative to the reference configuration
belongs to
Quantity c
has facts
contained in op Boundary Conditions of Electrophysiological Muscle ODE System ni
contained in op Electrophysiological Muscle ODE System ni
similar to op Stress Tensor (Cauchy) ni
similar to op Stress Tensor (Piola-Kirchhoff) ni
specializes op Mechanical Stress ni
description ap "In the case of finite deformations, the Piola–Kirchhoff stress tensors express the stress relative to the reference configuration. This is in contrast to the Cauchy stress tensor which expresses the stress relative to the present configuration. For infinitesimal deformations and rotations, the Cauchy and Piola–Kirchhoff tensors are identical."@en
MaRDI ID ap Item: Q6673838 ep
Wikidata ID ap Q9291589 ep

Suan (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolutionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Suan_2010_Kinetic_and_reactor_modelling_of_lipases_catalyzed_R_S-1-phenylethanol_resolution

publication
belongs to
Publication c
has facts
describes op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
describes survey of op Bi Bi Reaction Ping Pong Mechanism (ODE Model) ni
description ap "Lee Suan, Chua and Kian Kai, Cheng and Chew Tin, Lee and Sarmid, Mohamad Roji (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolution. Iranica Journal of Energy and Environment, 1 (3). pp. 234-245. ISSN 2079-2115"@en

Subcellular DAE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SubcellularDAESystem

differential-algebraic equation systems that describes the muscle stress generation
belongs to
Mathematical Formulation c
has facts
contained in op Subcellular Model ni
contains op Ion Current ni
contains op State Vector ni
contains op Time ni
contains op Transmembrane Potential ni
defining formulation dp "$\begin{align} \frac{\partial\mathbf{y}}{\partial t} &= G \left(\mathbf{y}, V^{\text{f}}_{\text{m}} \right) \\ I_{\text{ion}} &= I_{\text{ion}} \left(V^{\text{f}}_{\text{m}}, \mathbf{y}\right) \end{align}$"^^La Te X ep
in defining formulation dp "$\mathbf{y}$, State Vector"@en
in defining formulation dp "$I_{\text{ion}}$, Ion current"^^La Te X ep
in defining formulation dp "$V^{\text{f}}_{\text{m}}$, Transmembrane potential"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
description ap "A differential-algebraic equation systems that describes the muscle stress generation an a microscopic scale by means of internal state variables and describes the activation of the ion channels."@en
MaRDI ID ap Item: Q6674580 ep

Subcellular Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SubcellularModel

determines the lumped activation parameter and models the activation of ion channels
belongs to
Mathematical Model c
has facts
contains op Subcellular DAE System ni
described as studied by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
described by op Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models ni
is deterministic dp "true"^^boolean
is dynamic dp "true"^^boolean
is space-continuous dp "true"^^boolean
is time-continuous dp "true"^^boolean
description ap "Determines the lumped activation parameter and models the activation of ion channels in response to changes in the muscle fibers transmembrane."@en
MaRDI ID ap Item: Q6675443 ep

Substrate 1 Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate1Concentration

amount of substrate 1 present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673813 ep

Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate1ConcentrationODEBiBiOrderedsingleCC

ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
similar to op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
similar to op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
defining formulation dp "$\frac{dc_{S_1}}{dt} = k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674191 ep

Substrate 1 Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate1ConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
similar to op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
similar to op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
defining formulation dp "$\frac{dc_{S_1}}{dt} = k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674183 ep

Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate1ConcentrationODEBiBiPingPong

ordinary differential equation describing the concentration over time in a ping pong bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{S_1}}{dt} = k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674218 ep

Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate1ConcentrationODEBiBiTheorellChance

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{S_1}}{dt} = k_{-1} c_{ES_1} - k_{1} c_{E} c_{S_1}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_1}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_1}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674239 ep

Substrate 2 Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate2Concentration

amount of substrate 2 present in a reaction environment
belongs to
Quantity c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
specializes op Concentration ni
MaRDI ID ap Item: Q6673814 ep

Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate2ConcentrationODEBiBiOrderedsingleCC

ordinary differential equation describing the concentration over time in an ordered bi bi reaction with a Single Central complex
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{S_2}}{dt} = k_{-2} c_{ES_{1}S_{2}=EP_{1}P_{2}} - k_{2} c_{ES_1} c_{S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}=EP_{1}P_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674192 ep

Substrate 2 Concentration ODE (Bi Bi Reaction Ordered)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate2ConcentrationODEBiBiOrdered

ordinary differential equation describing the concentration over time in an ordered bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{S_2}}{dt} = k_{-2} c_{ES_{1}S_{2}} - k_{2} c_{ES_1} c_{S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_{1}S_{2}}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674184 ep

Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate2ConcentrationODEBiBiPingPong

ordinary differential equation describing the concentration over time in a ping pong bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{S_2}}{dt} = k_{-3} c_{E*S_2} - k_{3} c_{E*} c_{S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{E*S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E*}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{3}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674219 ep

Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Substrate2ConcentrationODEBiBiTheorellChance

ordinary differential equation describing the concentration over time in a Theorell-Chance bi bi reaction
belongs to
Mathematical Formulation c
has facts
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{S_2}}{dt} = k_{-2} c_{EP_2} c_{P_1} - k_{2} c_{ES_1} c_{S_2}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S_2}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{EP_2}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{ES_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P_1}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S_2}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674240 ep

Substrate Concentrationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SubstrateConcentration

amount of substrate present in a reaction environment
belongs to
Quantity c
has facts
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as input in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as input in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Initial Substrate Concentration (Uni Uni Reaction) ni
contained in op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
specializes op Concentration ni
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6673927 ep

Substrate Concentration ODE (Uni Uni Reaction)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SubstrateConcentrationODEUniUni

ordinary differential equation describing the concentration over time in a uni uni reaction
belongs to
Mathematical Formulation c
has facts
contained in op Uni Uni Reaction ODE System ni
contains op Concentration ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Time ni
defining formulation dp "$\frac{dc_{S}}{dt}=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{S}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674581 ep

Surface Force Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SurfaceForceDensity

concept that describes the force per unit area acting on a surface
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic (Neumann Boundary) ni
specializes op Force Density ni
MaRDI ID ap Item: Q6673845 ep

Susceptible Cities ODEni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptibleCitiesODE

ordinary differential equation describing the rate of change of susceptible cities
belongs to
Mathematical Formulation c
has facts
contained in op Susceptible Infectious Epidemic Spreading ODE System ni
contains op Contact Network ni
contains op Number of Infected Cities ni
contains op Number of Regions ni
contains op Number of Susceptible Cities ni
contains op Rate of Change of Susceptible Cities ni
contains op Spreading Rate (Time-dependent) ni
contains op Time ni
defining formulation dp "$\frac{ds_m(t)}{dt} = -s_m(t) \alpha(t) \sum_{n=1}^{N_R} G_{m,n} i_n(t)$"^^La Te X ep
in defining formulation dp "$G_{m,n}$, Contact Network"^^La Te X ep
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
in defining formulation dp "$\alpha(t)$, Spreading Rate (Time-dependent)"^^La Te X ep
in defining formulation dp "$\frac{ds_m(t)}{dt}$, Rate of Change of Susceptible Cities"^^La Te X ep
in defining formulation dp "$i_n(t)$, Number of Infected Cities"^^La Te X ep
in defining formulation dp "$s_m(t)$, Number of Susceptible Cities"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "true"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674582 ep

Susceptible Infectious Epidemic Spreading ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptibleInfectiousEpidemicSpreadingODESystem

equations describing the spreading in a susceptible infectious epidemic model on a network with time-dependent spreading rate
belongs to
Mathematical Formulation c
has facts
contained in op Romanization Time Evolution ni
contained in op Susceptible Infectious Epidemic Spreading Model ni
contains op Conservation of City Numbers ni
contains op Contact Network ni
contains op Number of Cities ni
contains op Number of Infected Cities ni
contains op Number of Regions ni
contains op Number of Susceptible Cities ni
contains op Rate of Change of Susceptible Cities ni
contains op Region ni
contains op Spreading Rate (Time-dependent) ni
contains op Susceptible Cities ODE ni
contains op Time ni
defining formulation dp "$\begin{align} \frac{ds_m(t)}{dt} &= -s_m(t) \alpha(t) \sum_{n=1}^{N_R} G_{m,n} i_n(t) \\ i_m(t) &= P_m - s_m(t) \end{align}$"^^La Te X ep
in defining formulation dp "$G_{m,n}$, Contact Network"^^La Te X ep
in defining formulation dp "$N_R$, Number of Regions"^^La Te X ep
in defining formulation dp "$P_m$, Number of Cities"^^La Te X ep
in defining formulation dp "$\alpha(t)$, Spreading Rate (Time-dependent)"^^La Te X ep
in defining formulation dp "$\frac{ds_m(t)}{dt}$, Rate of Change of Susceptible Cities"^^La Te X ep
in defining formulation dp "$i$, Number of Infected Cities"^^La Te X ep
in defining formulation dp "$m$, Region"^^La Te X ep
in defining formulation dp "$n$, Region"^^La Te X ep
in defining formulation dp "$s_m(t)$, Number of Susceptible Cities"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
is deterministic dp "true"^^boolean
is dimensionless dp "true"^^boolean
is dynamic dp "true"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6674563 ep

Susceptiblesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Susceptibles

general quantity for susceptible entities
belongs to
Quantity c
has facts
specialized by op Number of Susceptible Cities ni
specialized by op Number of Susceptible Individuals ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674120 ep

Susceptibles at Time Step n +1 in the Discrete Multi Population SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptiblesAtTimeStepInTheMultiPopulationSIModel

susceptibles in the discrete, multi-population SI model
belongs to
Mathematical Formulation c
has facts
contained in op Multi-Population Discrete Susceptible Infectious Model ni
contains op Contact Rate Between Two Groups ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$S_{n+1}^i = S_n^i \left(1- \sum_{k=1}^{K} \frac{\alpha_{ik} \Delta t}{N^i} I_n^k\right)$"^^La Te X ep
in defining formulation dp "$I_n^i$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n^i$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate Between Two Groups"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674583 ep

Susceptibles at Time Step n +1 in the Discrete Multi Population SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptiblesAtTimeStepInTheMultiPopulationSIRModel

susceptibles in the discrete, multi-population SIR model
belongs to
Mathematical Formulation c
has facts
contained in op Multi-Population Discrete Susceptible Infectious Removed Model ni
contains op Contact Rate Between Two Groups ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$S_{n+1}^i = S_n^i\left(1-\sum_{k=1}^K\frac{\alpha_{ik} \Delta t}{N^i} I_n^k\right)$"^^La Te X ep
in defining formulation dp "$I_n^i$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n^i$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate Between Two Groups"^^La Te X ep
in defining formulation dp "$\gamma_i$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674584 ep

Susceptibles at Time Step n +1 in the Discrete Multi Population SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptiblesAtTimeStepInTheMultiPopulationSISModel

susceptibles in the discrete, multi-population SIS model
belongs to
Mathematical Formulation c
has facts
contained in op Multi-Population Discrete Susceptible Infectious Susceptible Model ni
contains op Contact Rate Between Two Groups ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$S_{n+1}^i = S_n^i \left(1- \sum_{k=1}^K \frac{\alpha_{ik} \Delta t}{N^i} I_n^k\right) + \gamma_i \Delta t I_n^i$"^^La Te X ep
in defining formulation dp "$I_n^i$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N^i$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n^i$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha_{ik}$, Contact Rate Between Two Groups"^^La Te X ep
in defining formulation dp "$\gamma_i$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674585 ep

Susceptibles at Time Step n+1 in the Discrete SI Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptiblesAtTimeStepInTheSIModel

equation for the susceptibles in the SI model
belongs to
Mathematical Formulation c
has facts
contained in op Discrete Susceptible Infectious Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
discretizes op Continuous Rate of Change of Infectious in the SI Model ni
defining formulation dp "$S_{n+1}=S_n\left(1-\frac{\alpha \Delta t}{N} I_n\right)$"^^La Te X ep
in defining formulation dp "$/alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674291 ep

Susceptibles at Time Step n+1 in the Discrete SIR Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptiblesAtTimeStepInTheSIRModel

equation for the susceptibles in the SIR model
belongs to
Mathematical Formulation c
has facts
contained in op Discrete Susceptible Infectious Removed Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
discretizes op Continuous Rate of Change of Susceptibles in the SIR Model ni
defining formulation dp "$S_{n+1}=S_n\left(1-\frac{\alpha \Delta t}{N} I_n\right)$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674586 ep

Susceptibles at Time Step n+1 in the Discrete SIR Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptiblesAtTimeStepInTheSIRModelWithBirthsAndDeaths

equation for the susceptibles in the SIR model with births and deaths
belongs to
Mathematical Formulation c
has facts
contained in op Susceptible Infectious Removed Model with Births and Deaths ni
contains op Birth Rate ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$S_{n+1}=S_n\left(1-\frac{\alpha \Delta t}{N} I_n + \beta \Delta t (N - S_n)\right)$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674587 ep

Susceptibles at Time Step n+1 in the Discrete SIS Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptiblesAtTimeStepInTheSISModel

equation for the susceptibles in the SIS model
belongs to
Mathematical Formulation c
has facts
contained in op Discrete Susceptible Infectious Susceptible Model ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$S_{n+1}=S_n\left(1-\frac{\alpha \Delta t}{N} I_n\right) + \gamma \Delta t I_n$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674588 ep

Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deathsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SusceptiblesAtTimeStepInTheSISModelWithBirthsAndDEaths

equation for the susceptibles in the SIS model with births and deaths
belongs to
Mathematical Formulation c
has facts
contained in op Susceptible Infectious Susceptible Model with Births and Deaths ni
contains op Birth Rate ni
contains op Contact Rate ni
contains op Number of Infectious Individuals ni
contains op Relative Removal Rate ni
contains op Number of Susceptible Individuals ni
contains op Time Step ni
contains op Total Population Size ni
defining formulation dp "$S_{n+1}=S_n\left(1-\frac{\alpha \Delta t}{N} I_n\right) + \gamma \Delta t I_n + \beta \Delta t (N - S_n)$"^^La Te X ep
in defining formulation dp "$I_n$, Number of Infectious Individuals"^^La Te X ep
in defining formulation dp "$N$, Total Population Size"^^La Te X ep
in defining formulation dp "$S_n$, Number of Susceptible Individuals"^^La Te X ep
in defining formulation dp "$\Delta t$, Time Step"^^La Te X ep
in defining formulation dp "$\alpha$, Contact Rate"^^La Te X ep
in defining formulation dp "$\beta$, Birth Rate"^^La Te X ep
in defining formulation dp "$\gamma$, Relative Removal Rate"^^La Te X ep
is deterministic dp "true"^^boolean
is time-continuous dp "false"^^boolean
MaRDI ID ap Item: Q6674589 ep

Sylvester (1884) Sur léquations en matrices px = xqni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Sylvester_1884_Sur_léquations_en_matrices_px_xq

publication
belongs to
Publication c
has facts
describes op Sylvester Equation ni
describes invention of op Sylvester Equation ni

Sylvester Equation Controllabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SylvesterEquationControllability

Sylvester equation for the controllability of a linear control system
belongs to
Mathematical Formulation c
has facts
contained in op H2 Optimal Approximation (Linear) ni
contains op Control System Matrix A ni
contains op Control System Matrix A (Reduced) ni
contains op Control System Matrix B ni
contains op Control System Matrix B (Reduced) ni
contains op Unknown Matrix ni
specialized by op Lyapunov Equation Controllability ni
specializes op Sylvester Equation ni
specializes op Sylvester Generalized Controllability ni
defining formulation dp "$AX + X\tilde{A}^{*} + B\tilde{B}^{*} = 0$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B"^^La Te X ep
in defining formulation dp "$X$, Unknown Matrix"^^La Te X ep
in defining formulation dp "$\tilde{A}$, Control System Matrix A (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{B}$, Control System Matrix B (Reduced)"^^La Te X ep
description ap "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the Lyapunov equations for the calculations of Gramians."@en
MaRDI ID ap Item: Q6674378 ep

Sylvester Equation Observabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SylvesterEquationObservability

Sylvester equation for the observability of a linear control system
belongs to
Mathematical Formulation c
has facts
contained in op H2 Optimal Approximation (Linear) ni
contains op Control System Matrix A ni
contains op Control System Matrix A (Reduced) ni
contains op Control System Matrix C ni
contains op Control System Matrix C (Reduced) ni
contains op Unknown Matrix ni
specialized by op Lyapunov Equation Observability ni
specializes op Sylvester Equation ni
specializes op Sylvester Generalized Observability ni
defining formulation dp "$\tilde{A}Y + YA^{*} - C\tilde{C}^{*} = 0$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A"^^La Te X ep
in defining formulation dp "$C$, Control System Matrix C"^^La Te X ep
in defining formulation dp "$\tilde{A}$, Control System Matrix A (Reduced)"^^La Te X ep
in defining formulation dp "$\tilde{C}$, Control System Matrix C (Reduced)"^^La Te X ep
in defining formulation dp "$Υ$, Unknown Matrix"^^La Te X ep
description ap "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the Lyapunov equations for the calculations of Gramians. However, note the sign change in the CC term."@en
MaRDI ID ap Item: Q6674464 ep

Sylvester Generalized Controllabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SylvesterGeneralizedControllability

generalized Sylvester equation for the controllability of a bi-linear control system
belongs to
Mathematical Formulation c
has facts
contained in op H2 Optimal Approximation (Bi-linear) ni
contains op Control System Matrix A (Reduced) ni
contains op Control System Matrix B (Reduced) ni
contains op Control System Matrix N (Reduced) ni
specialized by op Lyapunov Equation Controllability ni
specialized by op Lyapunov Generalized Controllability ni
specialized by op Sylvester Equation Controllability ni
defining formulation dp "$AX + X\tilde{A}^{*} + \sum_kN_kX\tilde{N}_k^{*} + B\tilde{B}^{*} = 0$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A (Reduced)"^^La Te X ep
in defining formulation dp "$B$, Control System Matrix B (Reduced)"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N (Reduced)"^^La Te X ep
description ap "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the generalized Lyapunov equations for the calculations of generalized Gramians."@en
MaRDI ID ap Item: Q6674376 ep

Sylvester Generalized Observabilityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SylvesterGeneralizedObservability

generalized Sylvester equation for the observability of a bi-linear control system
belongs to
Mathematical Formulation c
has facts
contained in op H2 Optimal Approximation (Bi-linear) ni
contains op Control System Matrix A (Reduced) ni
contains op Control System Matrix C (Reduced) ni
contains op Control System Matrix N (Reduced) ni
specialized by op Lyapunov Equation Observability ni
specialized by op Sylvester Equation Observability ni
defining formulation dp "$\tilde{A}Y + YA^{*} + \sum_k\tilde{N}_kYN_k^{*} - C\tilde{C}^{*} = 0$"^^La Te X ep
in defining formulation dp "$A$, Control System Matrix A (Reduced)"^^La Te X ep
in defining formulation dp "$C$, Control System Matrix C (Reduced)"^^La Te X ep
in defining formulation dp "$N$, Control System Matrix N (Reduced)"^^La Te X ep
description ap "Except for the use of the reduced matrices (tilde-notation), there is a formal similarity with the generalized Lyapunov equations for the calculations of generalized Gramians. However, note the sign change in the CC term."@en
MaRDI ID ap Item: Q6674377 ep

Symmetric Top (Combined)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SymmetricTopCombined

modeling a polar oblate or prolate molecule as a rigid symmetric top, interacting with electric fields
belongs to
Mathematical Model c
has facts
contains op Molecular Alignment ni
contains op Molecular Orientation ni
contains op Quantum Hamiltonian (Electric Dipole) ni
contains op Quantum Hamiltonian (Electric Polarizability) ni
contains op Quantum Hamiltonian (Symmetric Top) ni
models op Molecular Rotation ni
used by op Optimal Control ni
used by op Quantum Conditional Quasi-Solvability ni
used by op Quantum Stationary States ni
used by op Quantum Time Evolution ni
description ap "Modeling a polar oblate (e.g. C6H6) or prolate (e.g. CH3Cl) molecule as a rigid symmetric top, interacting through both its permanent and induced electric dipole moment with electric fields. Note that analytical solutions to the TISE are available, see corresponding Task."@en
MaRDI ID ap Item: Q6675444 ep

Symmetry Analysis in TEM Imagesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SymmetryAnalysisTEMImages

symmetry analysis of TEM (transmission electron microscopy) images of crystals with strain
belongs to
Computational Task c
has facts
uses op Dynamical Electron Scattering Model ni
DOI ap rspa.2022.0317 ep
MaRDI ID ap Item: Q6684621 ep

Symptomatic Infection Rateni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#SymptomaticInfectionRate

constant representing the symptomatic infection rate
belongs to
Quantity c
has facts
contained in op Rate of Change of Population Density Fraction of Exposed PDE ni
contained in op Rate of Change of Population Density Fraction of Susceptibles PDE ni
specializes op Rate ni
MaRDI ID ap Item: Q6674112 ep

Tangential Interaction Force of Two Particlesni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TangentialInteractionForceOfTwoParticles

force component acting tangentially at the contact interface between two particles
belongs to
Mathematical Formulation c
has facts
contained in op Coulomb Friction Condition Between Two Particles ni
contained in op Linear Discrete Element Method ni
contained in op Torque of Particle ni
contains op Contact Point Of Particles ni
contains op Coulomb Friction Condition Between Two Particles ni
contains op Damping Coefficient ni
contains op Interaction Force ni
contains op Normal Stiffness ni
contains op Particle Mass ni
contains op Particle Radius ni
contains op Particle Velocity ni
contains op Tangential Stiffness ni
contains op Unit Tangent Vector ni
contains op Young Modulus ni
contains constraint condition op Coulomb Friction Condition Between Two Particles ni
defining formulation dp "\begin{align} \boldsymbol F^{T,pre}_{ij}&=-k^T_{ij}\boldsymbol\xi_{ij}-d^T_{ij}\dot{\boldsymbol \xi}_{ij}\\ \text{\bf if}\;\; \lVert\boldsymbol F^{T, cons}_{ij}\rVert &\leq \mu \lVert\boldsymbol F_{ij}^N\rVert\;\;\text{\bf then}\;\;\boldsymbol F^T_{ij} =\boldsymbol F^{T,pre}_{ij},\\ \text{\bf else}\;\; \boldsymbol F^T_{ij} &=\mu \lVert\boldsymbol F^N_{ij}\rVert \boldsymbol t,\\ \intertext{\bf where:}\\ \boldsymbol F^{T, cons}_{ij} &= -k_{ij}^T\boldsymbol\xi_{ij},\\ \boldsymbol\xi_{ij}&=\boldsymbol x_{C_{ji}}- \boldsymbol x_{C_{ij}},\\ \dot{\boldsymbol \xi}_{ij}&=\langle \boldsymbol v_i-\boldsymbol v_j, \boldsymbol t\rangle \boldsymbol t,\\ \boldsymbol t &=\frac{\boldsymbol \xi_{ij}}{\lVert \boldsymbol \xi_{ij}\rVert},\\ k^T_{ij}&=k^N_{ij}/1.2,\\ k_{ij}^N&=\frac\pi 2 \frac{r_i + r_j}{2}E_N,\\ d_{ij}^T&=2D_T\sqrt{k_{ij}^N\frac{m_im_j}{m_i+m_j}}. \end{align}"^^La Te X ep
in defining formulation dp "$D_T$, Damping Coefficient"^^La Te X ep
in defining formulation dp "$E_N$, Young Modulus"^^La Te X ep
in defining formulation dp "$\boldsymbol F_{ij}^T\in\mathbb R^3$, Interaction Force in tangential direction between two particles"^^La Te X ep
in defining formulation dp "$\boldsymbol t$, Unit Tangent Vector"^^La Te X ep
in defining formulation dp "$\boldsymbol v_i\in \mathbb R^3$, Particle Velocity"^^La Te X ep
in defining formulation dp "$\boldsymbol x_{C_{ij}}\in\mathbb R^3$, Contact Point Of Particles"^^La Te X ep
in defining formulation dp "$k^T_{ij}$, Tangential Stiffness"^^La Te X ep
in defining formulation dp "$k_{ij}^N$, Normal Stiffness"^^La Te X ep
in defining formulation dp "$m_i$, Particle Mass"^^La Te X ep
in defining formulation dp "$r_i$, Particle Radius"^^La Te X ep

Tangential Stiffnessni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TangentialStiffness

proportion of stiffness acting in tangential direction with contact between moving objects
belongs to
Quantity c
has facts
contained in op Coulomb Friction Condition Between Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
specializes op Stiffness ni

Temperatureni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Temperature

physical property of matter that quantitatively expresses the common notions of hot and cold
belongs to
Quantity Kind c
has facts
contained in op Boltzmann Approximation for Electrons ni
contained in op Boltzmann Approximation for Holes ni
contained in op Classical Brownian Equation ni
contained in op Classical Langevin Equation ni
contained in op Detailed Balance Principle ni
contained in op Fourier Equation ni
MaRDI ID ap Item: Q6673697 ep
QUDT ID ap Temperature ep
Wikidata ID ap Q11466 ep

Tendon Lengthni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TendonLength

measurement of the distance from one end of a tendon to the other
belongs to
Quantity c
has facts
contained in op Passive Tendon Force ni
contained in op Tendon Strain ni
specializes op Length ni
MaRDI ID ap Item: Q6674101 ep

Tendon Strainni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TendonStrain

stretching or partially tearing a tendon
belongs to
Quantity c
has facts
contained in op Passive Tendon Force ni
contained in op Tendon Strain ni
contains op Stress Free Tendon Length ni
contains op Tendon Length ni
contains op Tendon Strain ni
contains op Time ni
defining formulation dp "$\epsilon_\text{T}(t) \equiv \frac{\mathcal{l}_\text{T}(t)-\mathcal{l}^{\text{slack}}_\text{T} }{\mathcal{l}^{\text{slack}}_\text{T}}$"^^La Te X ep
in defining formulation dp "$\epsilon_{\text{T}}$, Tendon Strain"^^La Te X ep
in defining formulation dp "$\mathcal{l}^{\text{slack}}_\text{T}$, Stress Free Tendon Length"^^La Te X ep
in defining formulation dp "$l_{\text{T}}$, Tendon Length"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
description ap "Definition of the tendon strain by length of tendon under stress and stress-free length of tendon"@en
MaRDI ID ap Item: Q6674102 ep

Thermal Conductivityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#HeatConductivity

capacity of a material to conduct heat
belongs to
Quantity c
has facts
contained in op Fourier Equation ni
MaRDI ID ap Item: Q6674008 ep
QUDT ID ap Thermal Conductivity ep
Wikidata ID ap Q487005 ep

Timeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Time

dimension in which events can be ordered from the past through the present into the future
belongs to
Quantity Kind c
has facts
contained in op Active Contractile Force ni
contained in op Ampere Law ni
contained in op Spreading Curve (Approximate, Formulation) ni
contained in op Average Opinion of Followers of Infuencers Formulation ni
contained in op Average Opinion of Followers of Infuencers in the Partial Mean Field Model Formulation ni
contained in op Average Opinion of Followers of Media Formulation ni
contained in op Average Opinion of Followers of Media in the Partial Mean Field Model Formulation ni
contained in op Bi Bi Reaction Ordered Mechanism ODE System ni
contained in op Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System ni
contained in op Bi Bi Reaction Ping Pong Mechanism ODE System ni
contained in op Bi Bi Reaction Theorell-Chance Mechanism ODE System ni
contained in op Change in Opinions of Individuals ni
contained in op Change in Opinions of Influencers ni
contained in op Change in Opinions of Influencers in the Partial Mean Field Model ni
contained in op Change in Opinions of Media ni
contained in op Change in Opinions of Media in the Partial Mean Field Model ni
contained in op Classical Brownian Equation ni
contained in op Classical Fokker Planck Equation ni
contained in op Classical Hamilton Equations ni
contained in op Classical Hamilton Equations (Leap Frog) ni
contained in op Classical Langevin Equation ni
contained in op Classical Liouville Equation ni
contained in op Classical Newton Equation ni
contained in op Classical Newton Equation (Stoermer Verlet) ni
contained in op Conservation of City Numbers ni
contained in op Continuous Rate of Change of Infectious in the SI Model ni
contained in op Continuous Rate of Change of Infectious in the SIR Model ni
contained in op Continuous Rate of Change of Infectious in the SIS Model ni
contained in op Continuous Rate of Change of Removed in the SIR Model ni
contained in op Continuous Rate of Change of Susceptibles in the SI Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIR Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIS Model ni
contained in op Control System Input Bilinear ni
contained in op Control System Input Bilinear (Reduced) ni
contained in op Control System Input Linear ni
contained in op Control System Input Linear (Reduced) ni
contained in op Control System Output Linear ni
contained in op Control System Output Linear (Reduced) ni
contained in op Control System Output Quadratic ni
contained in op Control System Output Quadratic (Reduced) ni
contained in op Dirichlet Boundary Condition for Electric Potential ni
contained in op Electrophysiological Muscle ODE System ni
contained in op Empirical Distribution of Individuals Formulation ni
contained in op Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Enzyme Concentration ODE (Uni Uni Reaction) ni
contained in op Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction) ni
contained in op Euler Backward Method ni
contained in op Euler Forward Method ni
contained in op Faraday Law ni
contained in op Free Fall Equation (Air Drag) ni
contained in op Free Fall Equation (Non-Uniform Gravitation) ni
contained in op Free Fall Equation (Vacuum) ni
contained in op Free Fall Initial Condition ni
contained in op Gramian Generalized Controllability ni
contained in op Gramian Generalized Observability ni
contained in op Hill-Type Two-Muscle-One-Tendon ODE System ni
contained in op Initial Classical Density ni
contained in op Initial Classical Momentum ni
contained in op Initial Classical Position ni
contained in op Initial Classical Velocity ni
contained in op Initial Control State ni
contained in op Initial Control State (Reduced) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contained in op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) ni
contained in op Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) ni
contained in op Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with Single Central Compelx - ODE Model) ni
contained in op Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model) ni
contained in op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contained in op Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Number of Infected Cities ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model) ni
contained in op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model) ni
contained in op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
contained in op Initial Product Concentration (Uni Uni Reaction with Product) ni
contained in op Initial Product Concentration (Uni Uni Reaction without Product) ni
contained in op Initial Quantum Density ni
contained in op Initial Quantum State ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contained in op Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ni
contained in op Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ni
contained in op Initial Substrate Concentration (Uni Uni Reaction) ni
contained in op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
contained in op Interaction Force on an Individual ni
contained in op Interaction Weight Between Individuals ni
contained in op Intermediate Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Limiting Distribution of Individuals Formulation ni
contained in op Liouville-von Neumann Equation ni
contained in op Lorentz Force Equation (Relativistic) ni
contained in op Monodomain Equation for Action Potential Propagation ni
contained in op Motor Neuron Pool ODE System ni
contained in op Neumann Boundary Condition for Electric Potential ni
contained in op Optimal Control Backward ni
contained in op Optimal Control Constraint ni
contained in op Optimal Control Cost ni
contained in op Optimal Control Final ni
contained in op Optimal Control Forward ni
contained in op Optimal Control Initial ni
contained in op Optimal Control Update ni
contained in op Passive Muscle Force ni
contained in op Periodic Boundary Condition for Electric Potential ni
contained in op Poro-Visco-Elastic Diffusion Equation ni
contained in op Poro-Visco-Elastic Quasistatic Equation ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Product Concentration ODE (Uni Uni Reaction) ni
contained in op Quantum Lindblad Equation ni
contained in op Rate of Change of Population Density Fraction of Exposed PDE ni
contained in op Rate of Change of Population Density Fraction of Infectious PDE ni
contained in op Rate of Change of Population Density Fraction of Removed PDE ni
contained in op Rate of Change of Population Density Fraction of Susceptibles PDE ni
contained in op Rate of Switching Influencers Formulation ni
contained in op Schrödinger Equation (Time Dependent) ni
contained in op Steady State Assumption ni
contained in op Stokes Equation ni
contained in op Subcellular DAE System ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong) ni
contained in op Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance) ni
contained in op Substrate Concentration ODE (Uni Uni Reaction) ni
contained in op Susceptible Cities ODE ni
contained in op Susceptible Infectious Epidemic Spreading ODE System ni
contained in op Tendon Strain ni
contained in op Contact Network (Time-dependent) ni
contained in op Time Independence of Hamiltonian ni
contained in op Uni Uni Reaction ODE System ni
specialized by op Age of an Individual ni
specialized by op Duration ni
specialized by op Duration per Unit ni
specialized by op Exposure of an Individual ni
specialized by op Free Fall Impact Time ni
specialized by op Free Fall Time ni
specialized by op Period Length ni
specialized by op Time Point ni
specialized by op Time Step ni
specialized by op Turn Over Time ni
MaRDI ID ap Item: Q6534304 ep
QUDT ID ap Time ep
Wikidata ID ap Q11471 ep

Time Independence of Hamiltonianni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TimeIndependenceOfHamiltonian

assuming that the Hamiltonian of a quantum system does not dependend on time explicitly
belongs to
Mathematical Formulation c
has facts
assumed by op Schrödinger Equation (Time Independent) ni
contains op Quantum Hamiltonian Operator ni
contains op Time ni
defining formulation dp "$\frac{\partial}{\partial t}\hat{H}=0$"^^La Te X ep
in defining formulation dp "$H$, Quantum Hamiltonian Operator"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6534352 ep

Time Pointni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TimePoint

instant of time
belongs to
Quantity c
has facts
contained in op Loss Function (Romanization) ni
specializes op Time ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674052 ep

Time Stepni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TimeStep

incremental time step
belongs to
Quantity c
has facts
contained in op Between Population Contact Rate ni
contained in op Classical Hamilton Equations (Leap Frog) ni
contained in op Classical Newton Equation (Stoermer Verlet) ni
contained in op Condition for Positive Solutions in the Multi-Population SI Model ni
contained in op Condition for Positive Solutions in the Multi-Population SIR Model ni
contained in op Condition for Positive Solutions in the Multi-Population SIS Model ni
contained in op Condition for Positive Solutions in the SIR Model ni
contained in op Condition for Positive Solutions in the SIR Model with Births and Deaths ni
contained in op Condition for Positive Solutions in the SIS Model ni
contained in op Condition for Positive Solutions in the SIS Model with Births and Deaths ni
contained in op Condition to Keep Susceptibles Positive ni
contained in op Euler Backward Method ni
contained in op Euler Forward Method ni
contained in op Infectious at Time Step n+1 in the Multi-Population SI Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIR Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIS Model ni
contained in op Infectious at Time Step n+1 in the SI Model ni
contained in op Infectious at Time Step n+1 in the SIR Model ni
contained in op Infectious at Time Step n+1 in the SIR Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model with Births and Deaths ni
contained in op Removed at Time Step n+1 in the Multi-Population Discrete SIR Model ni
contained in op Removed at Time Step n+1 in the Discrete SIR Model ni
contained in op Removed at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni
contained in op Schrödinger Equation (Lie-Trotter) ni
contained in op Schrödinger Equation (Second Order Differencing) ni
contained in op Schrödinger Equation (Strang-Marchuk) ni
contained in op Second Condition for Positive Solutions in the Multi Population SIS Model ni
contained in op Second Condition for Positive Solutions in the SIR Model with Births and Deaths ni
contained in op Second Condition for Positive Solutions in the SIS Model ni
contained in op Second Condition for Positive Solutions in the SIS Model with Births and Deaths ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SI Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIR Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SI Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model ni
specializes op Time ni
description ap "Typically used in temporal discretization of evolution equations."@en
MaRDI ID ap Item: Q6673794 ep

Torqueni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Torque

tendency of a force to rotate an object
belongs to
Quantity Kind c
has facts
contained in op Torque of Particle ni
specialized by op Torque of Particle ni
MaRDI ID ap Item: Q6673729 ep
QUDT ID ap Torque ep
Wikidata ID ap Q48103 ep

Torque of Particleni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TorqueOfParticle

equation expressing the torque on a particle
belongs to
Mathematical Formulation c
has facts
contained in op Linear Discrete Element Method ni
contains op Particle Position ni
contains op Particle Radius ni
contains op Tangential Interaction Force of Two Particles ni
contains op Torque ni
specializes op Torque ni
defining formulation dp "\begin{align} \boldsymbol T_i &= (\boldsymbol x_{a_{ij}} - \boldsymbol x_i)\times \boldsymbol F^T_{ij}\\ \boldsymbol x_{a_{ij}} &= \boldsymbol x_i + \frac{r_i}{r_i + r_j}(\boldsymbol x_i - \boldsymbol x_j) \end{align}"^^La Te X ep
in defining formulation dp "$T$, Torque"^^La Te X ep
in defining formulation dp "$\boldsymbol x_i\in\mathbbf R^3$, Particle Position"^^La Te X ep
in defining formulation dp "$\mathbf F^T_{ij}$, Tangential Interaction Force of Two Particles"^^La Te X ep
in defining formulation dp "$r_i$, Particle Radius"^^La Te X ep
description ap "angular velocity needs to be taken into account when transforming the contact point between two particles from local to global coordinates"@en

Total Number of Individualsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TotalNumberOfIndividuals

overall count of people residing within a specific area
belongs to
Quantity c
has facts
contained in op Empirical Distribution of Individuals Formulation ni
contained in op Number of Individuals Tends to Infinity Assumption ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673956 ep

Total Population Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TotalPopulationDensity

number of people living in a given area
belongs to
Quantity c
has facts
contained in op Integral of the Population Density Fraction of Exposed (Initial Condition) ni
contained in op Integral of the Population Density Fraction of Infectious (Initial Condition) ni
contained in op Integral of the Population Density Fraction of Susceptibles (Initial Condition) ni
contained in op Integral of the Total Population Density (Initial Condition) ni
contained in op Total Population Density Formulation ni
description ap "typically expressed as the number of people per square kilometer or square mile"@en
MaRDI ID ap Item: Q6674032 ep

Total Population Density Formulationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TotalPopulationDensityFormulation

represented as a sum of Isotropic Gaussian functions of all provinces
belongs to
Mathematical Formulation c
has facts
contained in op PDE SEIR Model ni
contains op Density Fraction Coefficient ni
contains op Isotropic Gaussian Function ni
contains op Total Population Density ni
defining formulation dp "$n(x) \equiv \sum_{\tilde{l}=1}^{\tilde{L}} w_n^{(\tilde{l})} G^{(\tilde{l})}(x)$"^^La Te X ep
in defining formulation dp "$G^{(\tilde{l})}(x)$, Isotropic Gaussian Function"^^La Te X ep
in defining formulation dp "$n(x)$, Total Population Density"^^La Te X ep
in defining formulation dp "$w_n^{(\tilde{l})} $, Density Fraction Coefficient"^^La Te X ep
MaRDI ID ap Item: Q6674593 ep

Total Population Sizeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TotalPopulationSize

countable quantity representing the number of individuals
belongs to
Quantity c
has facts
contained in op Between Population Contact Rate ni
contained in op Condition for Positive Solutions in the Multi-Population SI Model ni
contained in op Condition for Positive Solutions in the Multi-Population SIR Model ni
contained in op Constant Population Size ni
contained in op Continuous Rate of Change of Infectious in the SI Model ni
contained in op Continuous Rate of Change of Infectious in the SIR Model ni
contained in op Continuous Rate of Change of Infectious in the SIS Model ni
contained in op Continuous Rate of Change of Susceptibles in the SI Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIR Model ni
contained in op Continuous Rate of Change of Susceptibles in the SIS Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SI Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIR Model ni
contained in op Infectious at Time Step n+1 in the Multi-Population SIS Model ni
contained in op Infectious at Time Step n+1 in the SI Model ni
contained in op Infectious at Time Step n+1 in the SIR Model ni
contained in op Infectious at Time Step n+1 in the SIR Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model with Births and Deaths ni
contained in op Initial Condition for the Continuous SI Model and SIS Model ni
contained in op Initial Condition for the Continuous SIR Model ni
contained in op Initial Condition for the Discrete SI Model ni
contained in op Initial Condition for the Discrete SIR Model with and without Births and Deaths ni
contained in op Initial Condition for the Multi-Population SI Model ni
contained in op Initial Condition for the Multi-Population SIR Model ni
contained in op Initial Condition for the Multi-Population SIS Model ni
contained in op Integral of the Population Density Fraction of Susceptibles (Initial Condition) ni
contained in op Integral of the Total Population Density (Initial Condition) ni
contained in op Number of Susceptible Individuals Formulation ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SI Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIR Model ni
contained in op Susceptibles at Time Step n +1 in the Discrete Multi Population SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SI Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIR Model with Births and Deaths ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model ni
contained in op Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deaths ni
contained in op Infectious at Time Step n+1 in the SIS Model ni
specializes op Integer Number (Dimensionless) ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6673795 ep

Transmembrane Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TransmembranePotential

difference in electric potential between the interior and the exterior of a biological cell
belongs to
Quantity c
has facts
contained in op Monodomain Equation for Action Potential Propagation ni
contained in op Motor Neuron Pool ODE System ni
contained in op Subcellular DAE System ni
specializes op Electric Potential ni
specializes op Voltage ni
alt Label ap "Membrane Potential"@en
alt Label ap "Membrane Voltage"@en
MaRDI ID ap Item: Q6674069 ep
Wikidata ID ap Q389844 ep

Transmission Electron Microscopyni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TransmissionElectronMicroscopy

uses the propagation of electron waves through magnetic lenses to create images of, e.g., the crystallographic structure of materials down to an atomic scale
belongs to
Research Field c
has facts
contains op Imaging of Nanostructures ni
description ap "As such, TEM has become an indispensable experimental tool to examine objects in life sciences or in material sciences at nanoscales. See also WIAS annual report 2021"@en
MaRDI ID ap Item: Q6684708 ep
Wikidata ID ap Q110779037 ep

Transport Equationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TransportEquation

equation that describes the transport of some (extensive) quantity such as mass, energy|heat, momentum, electric charge
belongs to
Mathematical Formulation c
has facts
contained in op Transport Model ni
specialized by op Darcy Equation ni
specialized by op Fick Equation ni
specialized by op Fourier Equation ni
specialized by op Hooke Law (Spring) ni
specialized by op Hooke Law (Linear Elasticity) ni
specialized by op Ohm Equation ni
description ap "There are several (constitutive) equations which describe the transport of matter, or properties of it, in an almost identical way. In every case, in words they read: Flux (density) is proportional to a gradient, where the constant of proportionality is a characteristic of the material. In general, the constant must be replaced by a 2nd rank tensor, to account for directional dependencies of the material."@en
MaRDI ID ap Item: Q6674354 ep
Wikidata ID ap Q105560509 ep

Transport Modelni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TransportModel

constitutive law describing the transport of matter, or properties of it, where the is proportional to a gradient
belongs to
Mathematical Model c
has facts
contains op Transport Equation ni
models op Transport of Matter ni
specialized by op Charge Transport Model ni
specialized by op Darcy Model ni
specialized by op Diffusion Model ni
specialized by op Heat Conduction Model ni
description ap "There are several (constitutive) equations which describe the transport of matter, or properties of it, in an almost identical way. In every case, in words they read: Flux (density) is proportional to a gradient, where the constant of proportionality is a characteristic of the material. In general, the constant must be replaced by a 2nd rank tensor, to account for directional dependencies of the material."@en
MaRDI ID ap Item: Q6675445 ep

Transport of Matterni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TransportOfMatter

transport of matter or of properties thereof
belongs to
Research Problem c
has facts
contained in op Continuum Mechanics ni
modeled by op Transport Model ni
specialized by op Charge Transport ni
specialized by op Flow in Porous Media ni
specialized by op Heat Transport ni
specialized by op Species Transport ni
MaRDI ID ap Item: Q6684684 ep

Transport Routeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TransportRoute

route on which goods, persons or data are transported
belongs to
Quantity c
has facts
specialized by op PTN Line ni
MaRDI ID ap Item: Q6674121 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q1297806"

Transportation Planningni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TransportationPlanning

planning of transportation networks and traffic
belongs to
Research Field c
has facts
contains op Line Planning ni
described as studied by op Gattermann (2017) Line pool generation ni
described by op Gattermann (2017) Line pool generation ni
MaRDI ID ap Item: Q6684709 ep
Wikidata ID ap "https://www.wikidata.org/wiki/Q1034047"

Turn Over Timeni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#TurnOverTime

time between two events
belongs to
Quantity c
has facts
contained in op Line Costs Computation ni
specializes op Time ni
description ap "Time between two events, e.g. minimal time between services of lines in public transport"@en
MaRDI ID ap Item: Q6674046 ep

Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UncompetitiveInhibitionConstantUniUniReactionReversibleInhibition

constant for the uncompetitive inhibition in an uni uni reaction
belongs to
Quantity c
has facts
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained as output in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained as output in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
contained in op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contained in op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contained in op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contained in op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
contained in op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
contains op Reaction Rate Constant ni
contains op Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ni
specializes op Dissociation Constant ni
specializes op Inhibition Constant ni
defining formulation dp "$K_{iu} \equiv \frac{k_{-4}}{k_4} $"^^La Te X ep
in defining formulation dp "$K_{iu}$, Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)"^^La Te X ep
in defining formulation dp "$k_4$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-4}$, Reaction Rate Constant"^^La Te X ep
is chemical constant dp "true"^^boolean
is dimensionless dp "false"^^boolean
MaRDI ID ap Item: Q6674020 ep

Unfiltered Value of Imageni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UnfilteredValueOfImage

unfiltered value of image, used in image processing
belongs to
Quantity c
has facts
contained in op Non-Local Means ni

Uni Uni Reactionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReaction

reaction catalyzed by an enzyme in which one substrate and one product is involved
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
modeled by op Uni Uni Reaction (ODE Model) ni
specialized by op Initial Reaction Rate of Uni Uni Reaction with Product ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product ni
MaRDI ID ap Item: Q6684663 ep

Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionEadieHofsteeModelwithoutProductIrreversibilityAssumption

uni uni reaction Eadie Hofstee model without product via the irreversibility assumption
belongs to
Mathematical Model c
has facts
assumes op Irreversibility Assumption ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine ni
described as invented by op Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics ni
described by op Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine ni
described by op Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675398 ep

Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionEadieHofsteeModelwithoutProductRapidEquilibriumAssumption

uni uni reaction Eadie Hofstee model without product via the rapid equilibrium assumption
belongs to
Mathematical Model c
has facts
assumes op Rapid Equilibrium Assumption ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine ni
described as invented by op Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics ni
described by op Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine ni
described by op Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675399 ep

Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionEadieHofsteeModelwithoutProductSteadyStateAssumption

uni uni reaction Eadie Hofstee model without product via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine ni
described as invented by op Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics ni
described by op Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine ni
described by op Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675400 ep

Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionHanesWoolfModelwithoutProductIrreversibilityAssumption

uni uni reaction Hanes Woolf model without product via the irreversibility assumption
belongs to
Mathematical Model c
has facts
assumes op Irreversibility Assumption ni
contains op Enzyme Conservation ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley ni
described by op Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675411 ep

Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionHanesWoolfModelwithoutProductRapidEquilibriumAssumption

uni uni reaction Hanes Woolf model without product via the rapid equilibrium assumption
belongs to
Mathematical Model c
has facts
assumes op Rapid Equilibrium Assumption ni
contains op Enzyme Conservation ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley ni
described by op Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675412 ep

Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionHanesWoolfModelwithoutProductSteadyStateAssumption

uni uni reaction Hanes Woolf model without product via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley ni
described by op Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675413 ep

Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionLineweaverBurkModelwithoutProductIrreversibilityAssumption

uni uni reaction Lineweaver Burk model without product via the irreversibility assumption
belongs to
Mathematical Model c
has facts
assumes op Irreversibility Assumption ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Lineweaver (1934) The Determination of Enzyme Dissociation Constants ni
described by op Lineweaver (1934) The Determination of Enzyme Dissociation Constants ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675425 ep

Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionLineweaverBurkModelwithoutProductRapidEquilibriumAssumption

uni uni reaction Lineweaver Burk model without product via the rapid equilibrium assumption
belongs to
Mathematical Model c
has facts
assumes op Rapid Equilibrium Assumption ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Lineweaver (1934) The Determination of Enzyme Dissociation Constants ni
described by op Lineweaver (1934) The Determination of Enzyme Dissociation Constants ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675426 ep

Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionLineweaverBurkModelwithoutProductSteadyStateAssumption

uni uni reaction Lineweaver Burk model without product via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Lineweaver (1934) The Determination of Enzyme Dissociation Constants ni
described by op Lineweaver (1934) The Determination of Enzyme Dissociation Constants ni
linearizes op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675427 ep

Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMichaelisMentenModelwithoutProductIrreversibilityAssumption

uni uni reaction Michaelis Menten model without product via the irreversibility assumption
belongs to
Mathematical Model c
has facts
assumes op Irreversibility Assumption ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Irreversibility Assumption ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Slyke (1914) The mode of action of urease and of enzymes in general ni
described by op Slyke (1914) The mode of action of urease and of enzymes in general ni
linearized by op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
linearized by op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
linearized by op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675417 ep

Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMichaelisMentenModelwithoutProductRapidEquilibriumAssumption

uni uni reaction Michaelis Menten model without product via the rapid equilibrium assumption
belongs to
Mathematical Model c
has facts
assumes op Rapid Equilibrium Assumption ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Michaelis (1913) Die Kinetik der Invertinwirkung ni
described by op Michaelis (1913) Die Kinetik der Invertinwirkung ni
linearized by op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
linearized by op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
linearized by op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675418 ep

Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Michaelis Menten model without product via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as invented by op Briggs (1925) A note on the kinetics of enzyme action ni
described by op Briggs (1925) A note on the kinetics of enzyme action ni
linearized by op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675378 ep

Uni Uni Reaction (ODE Model)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionODEModel

uni uni reaction model
belongs to
Mathematical Model c
has facts
contains op Enzyme Conservation ni
contains op Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) ni
contains op Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model) ni
contains op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
contains op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction ODE System ni
contains initial condition op Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) ni
contains initial condition op Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction - ODE Model) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction - ODE Model) ni
models op Uni Uni Reaction ni
specialized by op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ni
specialized by op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ni
specialized by op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ni
specialized by op Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption) ni
specialized by op Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ni
specialized by op Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption) ni
specialized by op Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ni
specialized by op Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption) ni
specialized by op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
specialized by op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
used by op Parameter Estimation of Enzyme Kinetics ni
used by op Sensitivity Analysis of Complex Kinetic Systems ni
used by op Simulation of Complex Kinetic Systems ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "true"^^boolean
is linear dp "false"^^boolean
is time-continuous dp "true"^^boolean
description ap "Ordinary differential equations for the rates of change of all chemical species (substrate, enzyme, enzyme-substrate complex, product) in an Uni Uni reaction. $k_{i}$ with positive or negative i represents the rate constant of the forward- or backward-reaction i-th reaction step."@en
MaRDI ID ap Item: Q6675446 ep

Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionCompetitiveCompleteInhibitionDixonModelwithoutProductSteadyStateAssumption

uni uni reaction Dixon model without product and competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains op Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675354 ep

Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionCompetitiveCompleteInhibitionEadieHofsteeModelwithoutProductSteadyStateAssumption

uni uni reaction Eadie Hofstee model without product and competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675355 ep

Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionCompetitiveCompleteInhibitionHanesWoolfModelwithoutProductSteadyStateAssumption

uni uni reaction Hanes Woolf model without Product and competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675356 ep

Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionCompetitiveCompleteInhibitionLineweaverBurkModelwithoutProductSteadyStateAssumption

uni uni reaction Lineweaver Burk model without product and competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675357 ep

Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionCompetitiveCompleteInhibitionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Michaelis Menten model without product and competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearized by op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675358 ep

Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionCompetitivePartialInhibitionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Michaelis Menten model without product and competitive partial Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675359 ep

Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMixedCompleteInhibitionDixonModelwithoutProductSteadyStateAssumption

uni uni reaction Dixon model without product and mixed complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains coupling condition op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675360 ep

Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMixedCompleteInhibitionEadieHofsteeModelwithoutProductSteadyStateAssumption

uni uni reaction Eadie Hofstee model without product and mixed complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains coupling condition op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675361 ep

Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMixedCompleteInhibitionHanesWoolfModelwithoutProductSteadyStateAssumption

uni uni reaction Hanes Woolf model without product and mixed complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains coupling condition op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675362 ep

Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMixedCompleteInhibitionLineweaverBurkModelwithoutProductSteadyStateAssumption

uni uni reaction Lineweaver Burk model without product and mixed complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains coupling condition op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675363 ep

Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMixedCompleteInhibitionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Michaelis Menten model without product and mixed complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption) ni
contains op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains coupling condition op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearized by op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675364 ep

Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionMixedPartialInhibitionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Michaelis Menten model without product and mixed partial Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption) ni
contains op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains coupling condition op Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675365 ep

Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionNonCompetitiveCompleteInhibitionDixonModelwithoutProductSteadyStateAssumption

uni uni reaction Dixon model without product and non-competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains coupling condition op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675366 ep

Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionNonCompetitiveCompleteInhibitionEadieHofsteeModelwithoutProductSteadyStateAssumption

uni uni reaction Eadie-Hofstee model without product and non-competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains coupling condition op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675367 ep

Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionNonCompetitiveCompleteInhibitionHanesWoolfModelwithoutProductSteadyStateAssumption

uni uni reaction Hanes Woolf model without product and non-competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains coupling condition op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675368 ep

Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionNonCompetitiveCompleteInhibitionLineweaverBurkModelwithoutProductSteadyStateAssumption

uni uni reaction Lineweaver Burk model without product and non-competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains coupling condition op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675369 ep

Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionNonCompetitiveCompleteInhibitionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Michaelis Menten model without product and non-competitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption) ni
contains op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains coupling condition op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675370 ep

Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionNonCompetitivePartialInhibitionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Dixon model without product and non-competitive partial Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption) ni
contains op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains op Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains coupling condition op Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675371 ep

Uni Uni Reaction ODE Systemni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionODESystem

system of ordinary differential equations describing an uni uni reaction over time
belongs to
Mathematical Formulation c
has facts
contained in op Uni Uni Reaction (ODE Model) ni
contains op Concentration ni
contains op Enzyme Concentration ODE (Uni Uni Reaction) ni
contains op Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction) ni
contains op Product Concentration ODE (Uni Uni Reaction) ni
contains op Reaction Rate Constant ni
contains op Reaction Rate ni
contains op Substrate Concentration ODE (Uni Uni Reaction) ni
contains op Time ni
defining formulation dp "$\begin{align} \frac{dc_{S}}{dt}&=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES} \\ \frac{dc_{P}}{dt}&=k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P} \\ \frac{dc_{E}}{dt}&=-k_{1}*c_{E}*c_{S}+k_{-1}*c_{ES}+k_{2}*c_{ES}-k_{-2}*c_{E}*c_{P} \\ \frac{dc_{ES}}{dt}&=k_{1}*c_{E}*c_{S}-k_{-1}*c_{ES}-k_{2}*c_{ES}+k_{-2}*c_{E}*c_{P} \end{align}$"^^La Te X ep
in defining formulation dp "$\frac{dc_{ES}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$\frac{dc_{E}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$\frac{dc_{P}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$\frac{dc_{S}}{dt}$, Reaction Rate"^^La Te X ep
in defining formulation dp "$c_{ES}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{E}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{P}$, Concentration"^^La Te X ep
in defining formulation dp "$c_{S}$, Concentration"^^La Te X ep
in defining formulation dp "$k_{-1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{-2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{1}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$k_{2}$, Reaction Rate Constant"^^La Te X ep
in defining formulation dp "$t$, Time"^^La Te X ep
MaRDI ID ap Item: Q6674594 ep

Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionUncompetitiveCompleteInhibitionDixonModelwithoutProductSteadyStateAssumption

uni uni reaction Dixon model without product and uncompetitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
contains op Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675372 ep

Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionUncompetitiveCompleteInhibitionEadieHofsteeModelwithoutProductSteadyStateAssumption

uni uni reaction Eadie Hofstee model without product and uncompetitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
contains op Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675373 ep

Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionUncompetitiveCompleteInhibitionHanesWoolfModelwithoutProductSteadyStateAssumption

uni uni reaction Hanes Woolf model without product and uncompetitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675374 ep

Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionUncompetitiveCompleteInhibitionLineweaverBurkModelwithoutProductSteadyStateAssumption

uni uni reaction Lineweaver Burk model without product and uncompetitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearizes op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "true"^^boolean
MaRDI ID ap Item: Q6675375 ep

Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionUncompetitiveCompleteInhibitionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Michaelis Menten model without product and uncompetitive complete Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
linearized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ni
linearized by op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675376 ep

Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionUncompetitivePartialInhibitionMichaelisMentenModelwithoutProductSteadyStateAssumption

uni uni reaction Michaelis Menten model without product and uncompetitive partial Inhibition via the steady state assumption
belongs to
Mathematical Model c
has facts
assumes op Steady State Assumption ni
contained in op Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contained in op Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ni
contains op Enzyme Conservation ni
contains op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains op Initial Substrate Concentration (Uni Uni Reaction) ni
contains op Mass Action Law ni
contains op Mass Balance Law ni
contains op Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption) ni
contains op Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption) ni
contains initial condition op Initial Inhibitor Concentration (Uni Uni Reaction) ni
contains initial condition op Initial Product Concentration (Uni Uni Reaction without Product) ni
contains initial condition op Initial Substrate Concentration (Uni Uni Reaction) ni
described as surveyed by op Bisswanger (2017) Enzyme Kinetics ni
described by op Bisswanger (2017) Enzyme Kinetics ni
models op Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibition ni
specializes op Uni Uni Reaction (ODE Model) ni
used by op Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption) ni
is deterministic dp "true"^^boolean
is dimensionless dp "false"^^boolean
is dynamic dp "false"^^boolean
is linear dp "false"^^boolean
MaRDI ID ap Item: Q6675377 ep

Uni Uni Reaction with Competitive Complete Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionWithCompetitiveCompleteInhibition

uni uni reaction with inhibition
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition ni
specializes op Uni Uni Reaction with Reversible Complete Inhibition ni
description ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are $k_{1}$ and $k_{-1}$, $k_{2}$ is the rate of the rate-determining enzymatic step of product formation. Free enzyme may bind an inhibitor (I) to form an enzyme-inhibitor complex (EI) with rates $k_{3}$ and $k_{-3}$."@en

Uni Uni Reaction with Competitive Partial Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionWithCompetitivePartialInhibition

uni uni reaction with inhibition
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibition ni
specializes op Uni Uni Reaction with Reversible Partial Inhibition ni
description ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are $k_{1}$ and $k_{-1}$, $k_{2}$ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with $k_{3}$ or $k_{-3}$ and $k_{4}$ or $k_{-4} as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates $k_{5}$ and $k_{-5}$. From the enzyme-inhibitor-substrate complex product is formed with rate $k_{2}$. Properly this is a mixed partial inhibition in which the inhibitor does not affect the turnover rate,"@en

Uni Uni Reaction with Mixed Complete Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionWithMixedCompleteInhibition

uni uni reaction with inhibition
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition ni
specializes op Uni Uni Reaction with Reversible Complete Inhibition ni
description ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are $k_{1}$ and $k_{-1}$, $k_{2}$ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with $k_{3}$ or $k_{-3}$ and $k_{4}$ or $k_{-4} as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates $k_{5}$ and $k_{-5}$. From the enzyme-inhibitor-substrate complex no product formation is possible, the inhibition is thus complete."@en

Uni Uni Reaction with Mixed Partial Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionWithMixedPartialInhibition

uni uni reaction with inhibition
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibition ni
specializes op Uni Uni Reaction with Reversible Partial Inhibition ni
description ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are $k_{1}$ and $k_{-1}$, $k_{2}$ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with $k_{3}$ or $k_{-3}$ and $k_{4}$ or $k_{-4} as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates $k_{5}$ and $k_{-5}$. From the enzyme-inhibitor-substrate complex product is formed with rate $k_{6}$."@en

Uni Uni Reaction with Non-Competitive Complete Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionWithNonCompetitiveCompleteInhibition

uni uni reaction with inhibition
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition ni
specializes op Uni Uni Reaction with Reversible Complete Inhibition ni
description ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are $k_{1}$ and $k_{-1}$, $k_{2}$ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with $k_{3}$ or $k_{-3}$ and $k_{4}$ or $k_{-4} as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates $k_{5}$ and $k_{-5}$. In the non-competitive case: $k_{3} = k_{4}$, $k_{-3} = k_{-4}$, $k_{5} = k_{1}$ and $k_{-5} = k_{-1}$. The enzyme-inhibitor-substrate complex cannot form product, the inhibition is thus complete."@en

Uni Uni Reaction with Non-Competitive Partial Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionWithNonCompetitivePartialInhibition

uni uni reaction with inhibition
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibition ni
specializes op Uni Uni Reaction with Reversible Partial Inhibition ni
description ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are $k_{1}$ and $k_{-1}$, $k_{2}$ is the rate of the rate-determining enzymatic step of product formation. Free enzyme and the enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor (EI) and enzyme-inhibitor-substrate complex (EIS) with $k_{3}$ or $k_{-3}$ and $k_{4}$ or $k_{-4} as rates of inhibitor complex formation and depletion. Enzyme-inhibitor complex and enzyme-inhibitor-substrate convert into each other with rates $k_{5}$ and $k_{-5}$. In the non-competitive case: $k_{3} = k_{4}$, $k_{-3} = k_{-4}$, $k_{5} = k_{1}$ and $k_{-5} = k_{-1}$. The enzyme-inhibitor-substrate complex can form product with rate $k_{6}."@en

Uni Uni Reaction with Uncompetitive Complete Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionWithUncompetitiveCompleteInhibition

uni uni reaction with inhibition
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition ni
specializes op Uni Uni Reaction with Reversible Complete Inhibition ni
description ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are $k_{1}$ and $k_{-1}$, $k_{2}$ is the rate of the rate-determining enzymatic step of product formation. Enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor-substrate complex (EIS) with rates $k_{4}$ and $k_{-4}$. The enzyme-inhibitor-substrate complex cannot form product, the inhibition is thus complete."@en

Uni Uni Reaction with Uncompetitive Partial Inhibitionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniUniReactionWithUncompetitivePartialInhibition

uni uni reaction with inhibition
belongs to
Research Problem c
has facts
contained in op Enzyme Kinetics ni
specialized by op Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibition ni
specializes op Uni Uni Reaction with Reversible Partial Inhibition ni
description ap "Enzyme (E) and Substrate (S) form an enzyme-substrate complex (ES), which catalyzes the formation of product (P). Rates for complex formation and dissociation are $k_{1}$ and $k_{-1}$, $k_{2}$ is the rate of the rate-determining enzymatic step of product formation. Enzyme-substrate complex may bind an inhibitor (I) to form an enzyme-inhibitor-substrate complex (EIS) with rates $k_{4}$ and $k_{-4}$. The enzyme-inhibitor-substrate complex can form product with rate $k_{6}$."@en

Uniform Gravitational Accelerationni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UniformGravitationalAcceleration

assuming that the gravitational constant remains unchanged from the beginning to the end of a trajectory, e.g. a free fall
belongs to
Mathematical Formulation c
has facts
assumed by op Free Fall Determine Time ni
assumed by op Free Fall Equation (Air Drag) ni
assumed by op Free Fall Model (Air Drag) ni
contains op Earth Radius ni
contains op Free Fall Height ni
defining formulation dp "$h \approx r$"^^La Te X ep
in defining formulation dp "$h$, Free Fall Height"^^La Te X ep
in defining formulation dp "$r$, Earth Radius"^^La Te X ep
description ap "This is a very good approximation for an apple falling from a tree, but not for celestial mechanics where the inverse-square law of the gravitational field must be taken into account."@en
MaRDI ID ap Item: Q6674362 ep

Unit Outer Normal Vectorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UnitOuterNormalVector

unit normal vector that points outsid of the surface
belongs to
Quantity c
has facts
contained in op SEIR Derivative Relation ni
specializes op Unit Normal Vector ni
MaRDI ID ap Item: Q6674116 ep

Unit Tangent Vectorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UnitTangentVector

vector that is tangential to a curve or surface at a given point, with unit length
belongs to
Quantity c
has facts
contained in op Beavers–Joseph-Saffman Condition ni
contained in op Tangential Interaction Force of Two Particles ni
MaRDI ID ap Item: Q6673791 ep
Wikidata ID ap Q106041131 ep

Unknown Functionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UnknownFunction

mathematical function to be found, typically as a solution of an (ordinary or partial) differential equation
belongs to
Quantity c
has facts
contained in op Euler Backward Method ni
contained in op Euler Forward Method ni
MaRDI ID ap Item: Q6673962 ep

Unknown Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UnknownMatrix

unknown matrix, to be found
belongs to
Quantity c
has facts
contained in op Lyapunov Equation ni
contained in op Sylvester Equation ni
contained in op Sylvester Equation Controllability ni
contained in op Sylvester Equation Observability ni
MaRDI ID ap Item: Q6674055 ep

Upper-Triangular Matrixni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#UpperTriangularMatrix

matrix with all elements below the main diagonal equal to zero
belongs to
Quantity c
has facts
contained as output in op Sorting Objects ni
contained in op Object Rating Matrix Decomposition (Schur) ni
contained in op Sorting Objects ni
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674095 ep

Vanishing Air Densityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#VanishingAirDensity

in the limit of vanishing air density, physical bodies will move like in vacuum, e.g. free fall models
belongs to
Mathematical Formulation c
has facts
assumed by op Free Fall Equation (Vacuum) ni
assumed by op Free Fall Model (Vacuum) ni
contains op Density of Air ni
defining formulation dp "$\rho\rightarrow 0$"^^La Te X ep
in defining formulation dp "$\rho$, Density of Air"^^La Te X ep
MaRDI ID ap Item: Q6674366 ep

Vanishing Drag Coefficientni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#VanishingDragCoefficient

in the limit of vanishing drag coefficient, physical bodies will move like in vacuum, e.g. free fall models
belongs to
Mathematical Formulation c
has facts
assumed by op Free Fall Equation (Vacuum) ni
assumed by op Free Fall Model (Vacuum) ni
contains op Drag Coefficient ni
defining formulation dp "$C_D\rightarrow 0$"^^La Te X ep
in defining formulation dp "$C_D$, Drag Coefficient"^^La Te X ep
MaRDI ID ap Item: Q6674367 ep

Varianceni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Variance

expectation of the squared deviation of a random variable from its mean
belongs to
Quantity Kind c
has facts
contained in op Gaussian Distribution ni
contained in op Isotropic Gaussian Function Formulation ni
MaRDI ID ap Item: Q6673721 ep
Wikidata ID ap Q175199 ep

Vibration Frequency (Anharmonic)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#VibrationFrequencyAnharmonic

frequency of oscillation in systems that deviate from the ideal harmonic oscillator model
belongs to
Quantity c
has facts
specialized by op Vibration Frequency (Harmonic) ni
MaRDI ID ap Item: Q6674122 ep
Wikidata ID ap Q545228 ep

Vibrational Frequency Shift (1st Order)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#VibrationalFrequencyShift1stOrder

frequency shift of molecular vibrations caused by interaction with surrounding particles from 1st order non-degenerate perturbation theory
belongs to
Mathematical Formulation c
has facts
contained in op Quantum Eigen Energy (Intermolecular) ni
contains op Intermolecular Potential ni
contains op Normal Mode Coordinate (Dimensionless) ni
contains op Quantum Eigen Energy ni
defining formulation dp "$E_{1,r}^{(1)}-E_{0,r}^{(1)}= \frac{1}{2} \frac{\partial^2U}{\partial q_r^2}$"^^La Te X ep
in defining formulation dp "$E$, Quantum Eigen Energy"^^La Te X ep
in defining formulation dp "$U$, Intermolecular Potential"^^La Te X ep
in defining formulation dp "$q$, Normal Mode Coordinate (Dimensionless)"^^La Te X ep
description ap "The interpretation is quite straight-forward: Effectively, the intermolecular potential changes the effective force constant of a vibrational normal mode."@en
MaRDI ID ap Item: Q6674548 ep

Vibrational Frequency Shift (2nd Order)ni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#VibrationalFrequencyShift2ndOrder

frequency shift of molecular vibrations caused by interaction with surrounding particles from 2nd order non-degenerate perturbation theory
belongs to
Mathematical Formulation c
has facts
contained in op Quantum Eigen Energy (Intermolecular) ni
contains op Force Constant (Anharmonic) ni
contains op Intermolecular Potential ni
contains op Normal Mode Coordinate (Dimensionless) ni
contains op Quantum Eigen Energy ni
contains op Vibration Frequency (Harmonic) ni
defining formulation dp "$E_{1,r}^{(2)}-E_{0,r}^{(2)}= \frac{1}{2} \frac{\phi_{rrs}}{\omega_s} \frac{\partial U}{\partial q_s}$"^^La Te X ep
in defining formulation dp "$E$, Quantum Eigen Energy"^^La Te X ep
in defining formulation dp "$U$, Intermolecular Potential"^^La Te X ep
in defining formulation dp "$\omega$, Vibration Frequency Harmonic"^^La Te X ep
in defining formulation dp "$\phi$, Force Constant (Anharmonic)"^^La Te X ep
in defining formulation dp "$q$, Normal Mode Coordinate (Dimensionless)"^^La Te X ep
description ap "The interpretation is based on the coupling of different vibrational normal modes, mediated by the cubic anharmonicity of the intramolecular force field."@en
MaRDI ID ap Item: Q6674549 ep

Viscosityni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Viscosity

resistance of a fluid to shear deformation
belongs to
Quantity Kind c
has facts
specialized by op Fluid Dynamic Viscosity (Free Flow) ni
specialized by op Fluid Dynamic Viscosity (Porous Medium) ni
specialized by op Fluid Kinematic Viscosity (Free Flow) ni
MaRDI ID ap Item: Q6673719 ep
QUDT ID ap Viscosity ep
Wikidata ID ap Q128709 ep

Viscous Dissipation Potentialni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ViscousDissipationPotential

describes the conversion of mechanical energy into internal energy due to the viscosity of a fluid
belongs to
Quantity c
has facts
contained as input in op Calculation of Deformation and Concentration ni
contained in op Calculation of Deformation and Concentration ni
contained in op Poro-Visco-Elastic (Neumann Boundary) ni
contained in op Poro-Visco-Elastic Quasistatic Equation ni
MaRDI ID ap Item: Q6673846 ep

Voltageni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#ElectricVoltage

difference in electric potential between two points (indicated in volt)
belongs to
Quantity Kind c
has facts
specialized by op Applied External Voltage ni
specialized by op Electric Potential ni
specialized by op Transmembrane Potential ni
MaRDI ID ap Item: Q6673692 ep
QUDT ID ap Voltage ep
Wikidata ID ap Q25428 ep

Wave Vector of an Electronni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#WaveVectorElectron

vector pointing in the direction of propagation of a wave and whose magnitude is equal to the wavenumber
belongs to
Quantity c
has facts
contained in op Darwin-Howie-Whelan Equation for an Unstrained Crystal ni
contained in op Darwin-Howie-Whelan Equation for a Strained Crystal ni
description ap "Vector pointing in the direction of a wave and whose magnitude is equal to the wavenumber. In quantum mechanics/condensed matter physics, a wave vector is the quotient of the momentum vektor of particles or quasi particles and the reduced Planck constant"@en
MaRDI ID ap Item: Q6674123 ep
Wikidata ID ap Q657009 ep

Weber (2022) The Mathematics of Comparing Objectsni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Weber_2022_The_Mathematics_of_Comparing_Objects

publication
belongs to
Publication c
has facts
describes op Object Comparison Model ni
describes invention of op Object Comparison Model ni
arXiv ID ap 2201.07032v2 ep
DOI ap ar Xiv.2201.07032 ep

Weight Factorni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#WeightFactor

maximum between the data and the standard deviation for specific region
belongs to
Quantity c
has facts
contained in op Loss Function (Romanization) ni
contained in op Weight Factor ni
contains op Romanized Cities Vector ni
contains op Weight Factor ni
defining formulation dp "$C_{m,t_i} \equiv \max \{ \omega _{m,t_i}, STD(\omega _{m,\bullet })\}$"^^La Te X ep
in defining formulation dp "$C$, Weight Factor"
in defining formulation dp "$\omega$, Romanized Cities Vector"
is dimensionless dp "true"^^boolean
MaRDI ID ap Item: Q6674053 ep

Weighting Functionni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#WeightingFunction

multiplicative factor used for weighting
belongs to
Quantity c
has facts
contained in op Non-Local Means ni
Wikidata ID ap Q130267218 ep

White Noiseni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#WhiteNoise

delta-correlated stationary Gaussian process with zero-mean
belongs to
Quantity c
has facts
contained in op Classical Brownian Equation ni
contained in op Classical Langevin Equation ni
similar to op White Noise ni
similar to op Wiener Process ni
description ap "Delta-correlated stationary Gaussian process with zero-mean, i.e., a random signal with equal intensity at all frequencies, yielding a constant power spectral density."@en
MaRDI ID ap Item: Q6673865 ep
Wikidata ID ap Q381287 ep

Wiener Processni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#WienerProcess

stochastic process generalizing Brownian motion
belongs to
Quantity c
has facts
contained in op Change in Opinions of Individuals ni
contained in op Change in Opinions of Influencers ni
contained in op Change in Opinions of Influencers in the Partial Mean Field Model ni
contained in op Change in Opinions of Media ni
contained in op Change in Opinions of Media in the Partial Mean Field Model ni
similar to op White Noise ni
similar to op Wiener Process ni
description ap "A stochastic process generalizing Brownian motion, used to represent the integral of a white noise Gaussian process,"@en
MaRDI ID ap Item: Q6673855 ep
Wikidata ID ap Q1056809 ep

Young Modulusni back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#YoungModulus

mechanical property that measures stiffness of a solid material
belongs to
Quantity c
has facts
contained in op Normal Interaction Force of Two Particles ni
contained in op Tangential Interaction Force of Two Particles ni
contained in op Young Modulus ni
contains op Linear Strain ni
contains op Normal Stress ni
contains op Young Modulus ni
defining formulation dp "$E \equiv \frac{\sigma}{\varepsilon}$"^^La Te X ep
in defining formulation dp "$E$, Young Modulus"^^La Te X ep
in defining formulation dp "$\sigma$, Normal Stress"^^La Te X ep
in defining formulation dp "$\varepsilon$, Linear Strain"^^La Te X ep
alt Label ap "Elastic modulus"@en
alt Label ap "Modulus of elasticity"@en
alt Label ap "Young's modulus"@en
MaRDI ID ap Item: Q6674082 ep
Wikidata ID ap Q2091584 ep

Legend back to ToC

c: Classes
op: Object Properties
dp: Data Properties
ni: Named Individuals
ep: External Properties

References back to ToC

Acknowledgments back to ToC

The authors would like to thank Silvio Peroni for developing LODE, a Live OWL Documentation Environment, which is used for representing the Cross Referencing Section of this document and Daniel Garijo for developing Widoco, the program used to create the template used in this documentation.