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MathModDB Ontology and Knowledge Graph for Mathematical Models

Revision:: 1.0.0
Issued on:: 2025-02-13
Authors:: Aurela Shehu, Weierstrass Institute Berlin for Applied Analysis and Stochastics; Björn Schembera, Universität Stuttgart; Burkhard Schmidt, Weierstrass Institute Berlin for Applied Analysis and Stochastics; Christine Biedinger, Fraunhofer Institute for Industrial Mathematics ITWM; Jochen Fiedler, Fraunhofer Institute for Industrial Mathematics ITWM; Marco Reidelbach, Zuse Institute Berlin; Thomas Koprucki, Weierstrass Institute Berlin for Applied Analysis and Stochastics
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
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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

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 over 1200 elements. 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 the MathModDB ontology

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.

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.

Computational Task^c 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, is space-continuous ^dp, is time-continuous ^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: Approximate Predictive Distribution ⁿⁱ, Balanced Truncation ⁿⁱ, Balanced Truncation (Bi-linear) ⁿⁱ, Balanced Truncation (Linear) ⁿⁱ, Calculation of Deformation and Concentration ⁿⁱ, Classical Time Evolution ⁿⁱ, Compute Predicitive Distribution 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, Heavy Particle Propagation ⁿⁱ, Heavy Particle Velocity Adjustment ⁿⁱ, Light Particle Nonadiabatic Transitions ⁿⁱ, Light Particle Propagation 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, SPECT Known Attenuation ⁿⁱ, SPECT Unknown Attenuation 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 Formulation^c 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 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: A Produced In First Compartment ⁿⁱ, Allee Effect ⁿⁱ, Ampere Law ⁿⁱ, Anharmonicity Constant (Perturbation Theory) ⁿⁱ, Attraction Dominates Repulsion Assumption 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, Boltzmann Equation ⁿⁱ, Boltzmann Equation for Moving Particles ⁿⁱ, Boltzmann Equation for Moving Particles (time continuous) ⁿⁱ, Boltzmann Equation for Moving Particles (time continuous, No Scatter Assumption) ⁿⁱ, Boundary Conditions of Electrophysiological Muscle ODE System ⁿⁱ, CT Measurement Equation (No Scatter) 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 Densities Condition ⁿⁱ, Continuity Of Fluxes Condition 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, Convolution Between Interaction Force And Density Formulation 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, Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part 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, ET Measurement Equation (No Scatter, No Attenuation) ⁿⁱ, ET Measurement Equation (No Scatter, With Attenuation) 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, Evolution Of The Concentration Of Particles PDE ⁿⁱ, Evolution Of The Concentration Of Particles SPDE ⁿⁱ, Evolution Of The Position Of A Particle SDE ⁿⁱ, Excess Substrate Assumption ⁿⁱ, Faraday Law ⁿⁱ, Fick Equation ⁿⁱ, Finite Volume Method ⁿⁱ, Fluctuating Parts Of Population Density Fractions Approximately Zero 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, Generalized Compartment Reaction ⁿⁱ, Generalized Poisson Distribution ⁿⁱ, Generalized Poisson Distribution Formulation ⁿⁱ, Generalized Steady State Equations 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, Heavy Particle Newton Equation 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 SEIR Condition 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 Potential Formulation 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, Light Particle Nonadiabatic Criterion 1 ⁿⁱ, Light Particle Nonadiabatic Criterion 2 ⁿⁱ, Light Particle TDSE ⁿⁱ, Light Particle TISE 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, Multi Grid Reaction Diffusion Master Equation 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, Particle Movement on a Line ⁿⁱ, Particle Movement on a Line (No Attenuation) 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, Positron Emission Tomography 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, Product Of Poisson Distributions ⁿⁱ, Product Of Poisson Distributions From the mgRDME 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, Quantum-Classical Hamiltonian ⁿⁱ, Quantum-Classical Mass Separation ⁿⁱ, Rapid Equilibrium Assumption ⁿⁱ, Rate Of Change Of Population Density Fraction Of Exposed Mean ODE ⁿⁱ, Rate Of Change Of Population Density Fraction Of Infectious Mean ODE ⁿⁱ, Rate Of Change Of Population Density Fraction Of Removed Mean ODE ⁿⁱ, Rate Of Change Of Population Density Fraction Of Susceptibles Mean ODE 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, Reaction Diffusion Master Equation ⁿⁱ, Reaction Diffusion System 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, 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, Simulation Behavior Prediction Formulation ⁿⁱ, Simulation Behavior Prediction Global Formulation ⁿⁱ, Simulation Behavior Prediction Local Formulation 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, Stationary Multi Grid Reaction Diffusion Master Equation ⁿⁱ, Stationary Reaction-Diffusion Master Equation ⁿⁱ, Steady State Assumption ⁿⁱ, Steady State Equations 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, Two Chains Of Chemical Reactions 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, White Noise Distribution Assumption ⁿⁱ, Zero Flux Condition ⁿⁱ
is disjoint with: Computational Task ^c, Mathematical Model ^c, Publication ^c, Quantity ^c, Quantity Kind ^c, Research Field ^c, Research Problem ^c

Mathematical Model^c 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, Computerized Tomography (No Scatter) ⁿⁱ, Computerized Tomography (With Scatter) 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, Emission Tomography (No Scatter No Attenuation) ⁿⁱ, Emission Tomography (No Scatter With Attenuation) ⁿⁱ, Feedforward Neural Network ⁿⁱ, Fewest Switches Surface Hopping 1 ⁿⁱ, Fewest Switches Surface Hopping 2 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, Generalized Compartment Based Morphogen Gradient Model ⁿⁱ, Heat Conduction Model ⁿⁱ, Hill-Type Two-Muscle-One-Tendon Model ⁿⁱ, Hybrid PDE ODE SEIR 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, Mean Field Ehrenfest ⁿⁱ, Mean-Field PDE Model ⁿⁱ, Mean-Field SPDE Model ⁿⁱ, Mean-Field Theory 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, ODE SEIR Model 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, Positron Emission Tomography ⁿⁱ, Quantum Model (Closed System) ⁿⁱ, Quantum Model (Open System) ⁿⁱ, Quantum-Classical Model ⁿⁱ, Recurrent Neural Network ⁿⁱ, Recurrent Neural Network Surrogate for Discrete Element Method ⁿⁱ, Scharfetter-Gummel Scheme ⁿⁱ, Sensory Organ Model ⁿⁱ, Simulation Behavior Prediction Global Stochastic Model ⁿⁱ, Simulation Behavior Prediction Local Stochastic Model ⁿⁱ, Simulation Behavior Prediction by a Stochastic Model ⁿⁱ, Solar System Model ⁿⁱ, Standard Compartment-Based Morphogen Gradient Model ⁿⁱ, Stochastic Particle Based Model For Clustering Dynamics 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

Publication^c 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, Buzug (2008) Computed Tomograhy 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, Huber (2024) Knowledge-Based Modeling of Simulation Behavior for Bayesian Optimization ⁿⁱ, Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction ⁿⁱ, Kack (2001) Principles of Computerized Tomographic Imaging 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, Weiser (2024) Hybrid PDE-ODE Models For Efficient Simulation Of Infection Spread In Epidemiology ⁿⁱ, Winkelman (2024) Multi-Grid Reaction-Diffusion Master Equation: Applications to Morphogen Gradient Modelling ⁿⁱ, Winkelmann (2024) Approximating particle-based clustering dynamics by stochastic PDEs ⁿⁱ
is disjoint with: Computational Task ^c, Mathematical Formulation ^c, Mathematical Model ^c, Quantity ^c, Quantity Kind ^c, Research Field ^c, Research Problem ^c

Quantity^c back to ToC or Class ToC

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

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 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, Approximation Predictive Distribution ⁿⁱ, Area of Image ⁿⁱ, Asymptomatic Infection Rate ⁿⁱ, Asymptomatic Recovery Rate ⁿⁱ, Attenuation Distribution ⁿⁱ, Attraction Force at Opinion ⁿⁱ, Average Number Of Molecules Of Morphogen ⁿⁱ, Average Number Of Molecules Of Signal 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, Coefficient Simulation Behavior Prediction Global ⁿⁱ, Compartment Length Ratio ⁿⁱ, Compartment Size ⁿⁱ, Compartment Size For A ⁿⁱ, Compartment Size For B ⁿⁱ, Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition) ⁿⁱ, Complexed Enzyme Concentration ⁿⁱ, Concentration Of Particles 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, Convolution Between Interaction Force And Density ⁿⁱ, Coriolis Coupling Constant ⁿⁱ, Costs of Line Concept ⁿⁱ, Costs per Unit ⁿⁱ, Coupling Current ⁿⁱ, Cross Section 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 A ⁿⁱ, Diffusion Coefficient B ⁿⁱ, Diffusion Coefficient for SEIR Model ⁿⁱ, Diffusion Flux ⁿⁱ, Diffusion Operator ⁿⁱ, Dirac Delta Distribution ⁿⁱ, Displacement ⁿⁱ, Displacement Muscle Tendon ⁿⁱ, Displacement of Atoms ⁿⁱ, Dissociation Constant ⁿⁱ, Distribution of Radioactive Tracer 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, Evaluations Posterior Predictive Distribution 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 In The ODE Region ⁿⁱ, Fraction Of Population Density Of Exposed In The ODE Region (Fluctuating Part) ⁿⁱ, Fraction Of Population Density Of Exposed In The ODE Region (Mean) ⁿⁱ, Fraction Of Population Density Of Exposed In The PDE Region ⁿⁱ, Fraction Of Population Density Of Infectious In The ODE Region ⁿⁱ, Fraction Of Population Density Of Infectious In The ODE Region (Fluctuating Part) ⁿⁱ, Fraction Of Population Density Of Infectious In The ODE Region (Mean) ⁿⁱ, Fraction Of Population Density Of Infectious In The PDE Region ⁿⁱ, Fraction Of Population Density Of Removed In The ODE Region ⁿⁱ, Fraction Of Population Density Of Removed In The ODE Region (Fluctuating Part) ⁿⁱ, Fraction Of Population Density Of Removed In The ODE Region (Mean) ⁿⁱ, Fraction Of Population Density Of Removed In The PDE Region ⁿⁱ, Fraction Of Population Density Of Susceptibles In The ODE Region ⁿⁱ, Fraction Of Population Density Of Susceptibles In The ODE Region (Fluctuating Part) ⁿⁱ, Fraction Of Population Density Of Susceptibles In The ODE Region (Mean) ⁿⁱ, Fraction Of Population Density Of Susceptibles In The PDE Region 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, Gaussian Process ⁿⁱ, Generalized Diffusion Operator ⁿⁱ, Generalized Reaction Operator 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, Heavy Particle Kinetic Operator ⁿⁱ, Heavy Particle Mass ⁿⁱ, Heavy Particle Mean Force ⁿⁱ, Heavy Particle Position ⁿⁱ, Heavy Particle Velocity 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 Potential ⁿⁱ, Interaction Weight ⁿⁱ, Intermediate - Substrate 2 Complex Concentration ⁿⁱ, Intermediate Concentration ⁿⁱ, Intermolecular Potential ⁿⁱ, Ion Current ⁿⁱ, Isotropic Gaussian Function ⁿⁱ, Joint Probability ⁿⁱ, Jump Rate of A ⁿⁱ, Jump Rate of B ⁿⁱ, Lagrange Multiplier ⁿⁱ, Length Scale of Attractive Forces ⁿⁱ, Length Scale of Repulsive Forces ⁿⁱ, Length of Unit Cell ⁿⁱ, Level of Mortality ⁿⁱ, Light Particle Density Matrix ⁿⁱ, Light Particle Eigen Energy ⁿⁱ, Light Particle Eigen State ⁿⁱ, Light Particle Expansion Coefficient ⁿⁱ, Light Particle Hamiltonian ⁿⁱ, Light Particle Kinetic Operator ⁿⁱ, Light Particle Mass ⁿⁱ, Light Particle Nonadiabatic Coupling 1 ⁿⁱ, Light Particle Nonadiabatic Coupling 2 ⁿⁱ, Light Particle Nonadiabatic Probability 1 ⁿⁱ, Light Particle Nonadiabatic Probability 2 ⁿⁱ, Light Particle Position ⁿⁱ, Light Particle State Vector ⁿⁱ, Light Particle Time Overlap 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, Matrix M ⁿⁱ, Matrix S 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, Morphogen 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, Normal Vector 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, Operators Oi Minus ⁿⁱ, Operators Oi Plus 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, Position Of A Particle 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, Quantum-Classical Potential ⁿⁱ, Radiant Intensity ⁿⁱ, Random Number ⁿⁱ, Rate of Aging ⁿⁱ, Rate of Becoming Infectious ⁿⁱ, Rate of Change of Susceptible Cities ⁿⁱ, Rate of Switching Influencers ⁿⁱ, Reaction Operator 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, SPECT Measured Data ⁿⁱ, Scaling Parameter for Switching Influencers ⁿⁱ, Scattering Cross Section ⁿⁱ, Second Eigenvalue of Orthogonal Matrix ⁿⁱ, Sensory Organ Current ⁿⁱ, Signal 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, Stationary Distribution ⁿⁱ, Strength Of Attractive Forces ⁿⁱ, Strength Of Repulsive Forces ⁿⁱ, Stress Free Muscle Length ⁿⁱ, Stress Free Tendon Length ⁿⁱ, Stress Tensor (Cauchy) ⁿⁱ, Stress Tensor (Piola-Kirchhoff) ⁿⁱ, Stress of Crystal ⁿⁱ, Students t-distribution 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 Kind^c 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 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, Attenuation Coefficient ⁿⁱ, Azimuthal Angle ⁿⁱ, Basis Function ⁿⁱ, Boolean Variable ⁿⁱ, Complex Number (Dimensionless) ⁿⁱ, Concentration ⁿⁱ, Costs ⁿⁱ, Covariance ⁿⁱ, Covariance Function ⁿⁱ, Decision Variable ⁿⁱ, Density ⁿⁱ, Dynamic Viscosity 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, Flux 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, Random Variable ⁿⁱ, Rate ⁿⁱ, Real Number (Dimensionless) ⁿⁱ, Scattering Coefficient ⁿⁱ, Stiffness ⁿⁱ, Stochastic Process 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 Field^c back to ToC or Class ToC

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

a field of research, e.g. Arts & Humanities, Life Sciences & Biomedicine, Physical & Natural Sciences or Engineering

is in domain of: contains ^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, similar to ^op, specialized by ^op, specializes ^op
is in range of: contained in ^op, describes ^op, describes documentation of ^op, describes invention of ^op, describes study of ^op, describes survey of ^op, describes use of ^op, similar to ^op, specialized by ^op, specializes ^op
has members: Archaeology ⁿⁱ, Astronomy ⁿⁱ, Bayesian Modeling ⁿⁱ, Biology ⁿⁱ, Biomechanics ⁿⁱ, Biophysics ⁿⁱ, Celestial Mechanics ⁿⁱ, Chemical Reaction Kinetics ⁿⁱ, Civil Engineering ⁿⁱ, Classical Mechanics ⁿⁱ, Computational Social Science ⁿⁱ, Continuum Mechanics ⁿⁱ, Demography ⁿⁱ, Egyptology ⁿⁱ, Electromagnetism ⁿⁱ, Enzyme Kinetics ⁿⁱ, Epidemiology ⁿⁱ, Medical Imaging ⁿⁱ, Molecular Physics ⁿⁱ, Nuclear Medicine ⁿⁱ, Numerical Simulation ⁿⁱ, Optimization in Public Transportation ⁿⁱ, Physical Chemistry ⁿⁱ, Pomology ⁿⁱ, Roman Archaeology ⁿⁱ, Semiconductor Physics ⁿⁱ, Statistics ⁿⁱ, Transmission Electron Microscopy ⁿⁱ, Transportation Planning ⁿⁱ
is disjoint with: Computational Task ^c, Mathematical Formulation ^c, Mathematical Model ^c, Publication ^c, Quantity ^c, Quantity Kind ^c, Research Problem ^c

Research Problem^c 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, Biodistribution of Gamma-Radiation Emitting Radiotracers in Vivo 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, Predicting Simulation Error and Runtime 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 by
approximates
assumed by
assumes
contained as boundary condition in
contained as constant in
contained as constraint condition in
contained as coupling condition in
contained as final condition in
contained as initial condition in
contained as input in
contained as objective in
contained as output in
contained as parameter in
contained in
contains
contains boundary condition
contains constant
contains constraint condition
contains coupling condition
contains final condition
contains initial condition
contains input
contains objective
contains output
contains parameter
described as documented by
described as invented by
described as studied by
described as surveyed by
described as used by
described by
describes
describes documentation of
describes invention of
describes study of
describes survey of
describes use of
discretized by
discretizes
linearized by
linearizes
modeled by
models
nondimensionalized by
nondimensionalizes
similar to
specialized by
specializes
used by
uses

approximated by^op 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

approximates^op 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 by^op 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

assumes^op 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 in^op 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 in^op 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 in^op 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 in^op 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 in^op 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 in^op 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 in^op 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 in^op 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 in^op 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 in^op 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

contained in^op back to ToC or Object Property ToC

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

has sub-properties: 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
has domain: Computational Task ^c or Mathematical Formulation ^c or Mathematical Model ^c or Quantity ^c or Quantity Kind ^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
is inverse of: contains ^op

contains^op 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 condition^op 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 constant^op 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
has range: Quantity ^c or Quantity Kind ^c
is inverse of: contained as constant in ^op

contains constraint condition^op back to ToC or Object Property ToC

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

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 condition^op 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 condition^op 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 condition^op back to ToC or Object Property ToC

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

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 input^op 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 objective^op 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 output^op 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 parameter^op 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 by^op 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 by^op 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 by^op 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 by^op 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 by^op 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 by^op 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

describes^op 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 of^op 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 of^op 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 of^op 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 of^op 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 of^op 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 by^op 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

discretizes^op 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 by^op 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

linearizes^op 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 by^op 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

models^op 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 by^op 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

nondimensionalizes^op 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 to^op 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 by^op 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
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specializes^op 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 by^op 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

uses^op 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 formulation
in defining formulation
is chemical constant
is deterministic
is dimensionless
is dynamic
is linear
is mathematical constant
is physical constant
is space-continuous
is time-continuous

defining formulation^dp 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 formulation^dp 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 constant^dp 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 deterministic^dp 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 dimensionless^dp 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 dynamic^dp 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 linear^dp 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
has range: boolean

is mathematical constant^dp 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 constant^dp 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-continuous^dp 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: Computational Task ^c or Mathematical Formulation ^c or Mathematical Model ^c or Quantity ^c or Quantity Kind ^c
has range: boolean

is time-continuous^dp 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: Computational Task ^c or Mathematical Formulation ^c or Mathematical Model ^c or Quantity ^c or Quantity Kind ^c
has range: boolean

Annotation Properties

abstract
alt Label
arXiv ID
bibliographic Citation
creator
description
DOI
issued
license
MaRDI ID
modified
publisher
QUDT ID
title
Wikidata ID

abstract^ap back to ToC or Annotation Property ToC

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

alt Label^ap back to ToC or Annotation Property ToC

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

arXiv ID^ap back to ToC or Annotation Property ToC

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

bibliographic Citation^ap back to ToC or Annotation Property ToC

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

creator^ap back to ToC or Annotation Property ToC

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

description^ap back to ToC or Annotation Property ToC

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

DOI^ap back to ToC or Annotation Property ToC

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

issued^ap back to ToC or Annotation Property ToC

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

license^ap back to ToC or Annotation Property ToC

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

MaRDI ID^ap back to ToC or Annotation Property ToC

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

modified^ap back to ToC or Annotation Property ToC

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

publisher^ap back to ToC or Annotation Property ToC

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

QUDT ID^ap back to ToC or Annotation Property ToC

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

title^ap back to ToC or Annotation Property ToC

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

Wikidata ID^ap back to ToC or Annotation Property ToC

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

Named Individuals

A Produced In First Compartment
Acceleration
Action Potential Propagation Model
Active Contractile Force
Adjacency Matrix
Age of an Individual
Allee Effect
Allee Threshold
Allen (1993) Some Discrete-Time SI, SIR and SIS Epidemic Models
Ampere Law
Amplitude of Electron Wave
Angular Momentum
Anharmonicity Constant
Anharmonicity Constant (Perturbation Theory)
Applied External Voltage
Approximate Predictive Distribution
Approximation Predictive Distribution
Archaeology
Area
Area of Image
Artificial Neural Network
Astronomy
Asymptomatic Infection Rate
Asymptomatic Recovery Rate
Attenuation Coefficient
Attenuation Distribution
Attraction Dominates Repulsion Assumption
Attraction Force at Opinion
Attraction Force at Opinion Formulation
Average Number Of Molecules Of Morphogen
Average Number Of Molecules Of Signal
Average Opinion of Followers of Influencers
Average Opinion of Followers of Influencers in the Partial Mean Field Model
Average Opinion of Followers of Infuencers Formulation
Average Opinion of Followers of Infuencers in the Partial Mean Field Model Formulation
Average Opinion of Followers of Media
Average Opinion of Followers of Media Formulation
Average Opinion of Followers of Media in the Partial Mean Field Model
Average Opinion of Followers of Media in the Partial Mean Field Model Formulation
Azimuthal Angle
Balanced Truncation
Balanced Truncation (Bi-linear)
Balanced Truncation (Linear)
Balancing Transformation
Band Edge Energy for Conduction Band
Band Edge Energy for Valence Band
Basis Function
Bayesian Modeling
Beavers-Joseph Coefficient
Beavers–Joseph-Saffman Condition
Between Population Contact Rate
Bi Bi Reaction
Bi Bi Reaction following Ordered Mechanism
Bi Bi Reaction following Ordered Mechanism with Single Central Complex
Bi Bi Reaction following Ping Pong Mechanism
Bi Bi Reaction following Theorell-Chance Mechanism
Bi Bi Reaction Ordered Mechanism (ODE Model)
Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 1 and Single Central Complex (Steady State Assumption)
Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Product 2 and Single Central Complex (Steady State Assumption)
Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
Bi Bi Reaction Ordered Mechanism Michaelis Menten Model with Products 1 and 2 and Single Central Complex (Steady State Assumption)
Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products (Steady State Assumption)
Bi Bi Reaction Ordered Mechanism Michaelis Menten Model without Products and Single Central Complex (Steady State Assumption)
Bi Bi Reaction Ordered Mechanism ODE System
Bi Bi Reaction Ordered Mechanism with Single Central Complex (ODE Model)
Bi Bi Reaction Ordered Mechanism with Single Central Complex ODE System
Bi Bi Reaction Ping Pong Mechanism (ODE Model)
Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption)
Bi Bi Reaction Ping Pong Mechanism ODE System
Bi Bi Reaction Theorell-Chance Mechanism (ODE Model)
Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption)
Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption)
Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption)
Bi Bi Reaction Theorell-Chance Mechanism Michaelis Menten Model without Products (Steady State Assumption)
Bi Bi Reaction Theorell-Chance Mechanism ODE System
Binary Decision Variable
Biodistribution of Gamma-Radiation Emitting Radiotracers in Vivo
Biology
Biomechanics
Biophysics
Birth Rate
Bisswanger (2017) Enzyme Kinetics
Boltzmann Approximation for Electrons
Boltzmann Approximation for Holes
Boltzmann Constant
Boltzmann Equation
Boltzmann Equation for Moving Particles
Boltzmann Equation for Moving Particles (time continuous)
Boltzmann Equation for Moving Particles (time continuous, No Scatter Assumption)
Boolean Ring
Boolean Variable
Boundary Conditions of Electrophysiological Muscle ODE System
Briggs (1925) A note on the kinetics of enzyme action
Buzug (2008) Computed Tomograhy
Calculation of Deformation and Concentration
Celestial Mechanics
Center of Mass
Center of Province
Centrifugal Distortion Constant
Change In Length
Change in Opinions of Individuals
Change in Opinions of Influencers
Change in Opinions of Influencers in the Partial Mean Field Model
Change in Opinions of Media
Change in Opinions of Media in the Partial Mean Field Model
Characteristic Length
Charge Transport
Charge Transport Model
Chemical Potential
Chemical Reaction Kinetics
Civil Engineering
Classical Acceleration
Classical Approximation
Classical Brownian Equation
Classical Brownian Model
Classical Density (Phase Space)
Classical Dynamics Model
Classical Fokker Planck Equation
Classical Fokker Planck Model
Classical Force
Classical Hamilton Equations
Classical Hamilton Equations (Leap Frog)
Classical Hamilton Function
Classical Langevin Equation
Classical Langevin Model
Classical Liouville Equation
Classical Mechanics
Classical Momentum
Classical Newton Equation
Classical Newton Equation (Stoermer Verlet)
Classical Position
Classical Time Evolution
Classical Velocity
Closed System Approximation
Coefficient Scaling Infectious to Exposed
Coefficient Simulation Behavior Prediction Global
Compartment Length Ratio
Compartment Size
Compartment Size For A
Compartment Size For B
Competitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)
Complex Number (Dimensionless)
Complexed Enzyme Concentration
Computational Social Science
Compute Predicitive Distribution
Computerized Tomography (No Scatter)
Computerized Tomography (With Scatter)
Concentration
Concentration Of Particles
Condition for Positive Solutions in the Multi-Population SI Model
Condition for Positive Solutions in the Multi-Population SIR Model
Condition for Positive Solutions in the Multi-Population SIS Model
Condition for Positive Solutions in the SIR Model
Condition for Positive Solutions in the SIR Model with Births and Deaths
Condition for Positive Solutions in the SIS Model
Condition for Positive Solutions in the SIS Model with Births and Deaths
Condition to Keep Susceptibles Positive
Conservation Law
Conservation of City Numbers
Constant Population Size
Contact Network
Contact Network (Time-dependent)
Contact Network Constraint
Contact Point Of Particles
Contact Rate
Contact Rate Between Two Groups
Continuity Equation
Continuity Equation for Electrons
Continuity Equation for Electrons (Finite Volume)
Continuity Equation for Holes
Continuity Equation for Holes (Finite Volume)
Continuity Of Densities Condition
Continuity Of Fluxes Condition
Continuity of the Normal Mass Flux
Continuity of the Normal Stresses
Continuous Rate of Change of Infectious in the SI Model
Continuous Rate of Change of Infectious in the SIR Model
Continuous Rate of Change of Infectious in the SIS Model
Continuous Rate of Change of Removed in the SIR Model
Continuous Rate of Change of Susceptibles in the SI Model
Continuous Rate of Change of Susceptibles in the SIR Model
Continuous Rate of Change of Susceptibles in the SIS Model
Continuous Susceptible Infectious Model
Continuous Susceptible Infectious Removed Model
Continuous Susceptible Infectious Susceptible Model
Continuum Mechanics
Control System Duration
Control System Initial
Control System Initial (Reduced)
Control System Input
Control System Input Bilinear
Control System Input Bilinear (Reduced)
Control System Input Linear
Control System Input Linear (Reduced)
Control System Lagrange Multiplier
Control System Matrix A
Control System Matrix A (Reduced)
Control System Matrix B
Control System Matrix B (Reduced)
Control System Matrix C
Control System Matrix C (Reduced)
Control System Matrix D
Control System Matrix D (Reduced)
Control System Matrix N
Control System Matrix N (Reduced)
Control System Model
Control System Model (Bilinear)
Control System Model (Linear)
Control System Output
Control System Output Linear
Control System Output Linear (Reduced)
Control System Output Quadratic
Control System Output Quadratic (Reduced)
Control System State
Control System State (Reduced)
Control System Time Evolution
Control System Time Evolution (Bi-linear)
Control System Time Evolution (Linear)
Control Volume
Convolution Between Interaction Force And Density
Convolution Between Interaction Force And Density Formulation
Coriolis Coupling Constant
Costs
Costs of Line Concept
Costs per Unit
Coulomb Friction Condition Between Two Particles
Coupling Current
Covariance
Covariance Function
Creeping Flow Assumption
Cross Section
CT Measurement Equation (No Scatter)
Cundall (1979) A discrete numerical model for granular assemblies
Current Flow in Semiconductor Devices
Current Procedural Terminology
Damping Coefficient
Darcy Equation
Darcy Equation (Euler Backward)
Darcy Equation (Finite Volume)
Darcy Model
Darcy Model (Discretized)
Darwin-Howie-Whelan Equation for a Strained Crystal
Darwin-Howie-Whelan Equation for an Unstrained Crystal
de Broglie Wavelength
Death Count
Decision Variable
Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part
Demography
Denoising for Improved Parametric MRI of the Kidney
Density
Density Fraction Coefficient
Density of Air
Density of Electrons
Density of Holes
Density of States for Conduction Band
Density of States for Valence Band
Detailed Balance Principle
Diffusion Coefficient
Diffusion Coefficient A
Diffusion Coefficient B
Diffusion Coefficient for SEIR Model
Diffusion Flux
Diffusion Model
Diffusion Operator
Dirac Delta Distribution
Dirichlet Boundary Condition
Dirichlet Boundary Condition for Electric Potential
Dirichlet Boundary Condition for Electron Fermi Potential
Dirichlet Boundary Condition for Hole Fermi Potential
Discrete Element Method
Discrete Susceptible Infectious Model
Discrete Susceptible Infectious Removed Model
Discrete Susceptible Infectious Susceptible Model
Displacement
Displacement Muscle Tendon
Displacement of Atoms
Dissociation Constant
Distribution of Radioactive Tracer
Dixon Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
Dixon Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
Dixon Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
Dixon Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
Doping Profile
Drag Coefficient
Drift (Velocity)
Drift-Diffusion Model
Duration
Duration per Unit
Dynamic Viscosity
Dynamical Electron Scattering Model
Eadie (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmine
Eadie Hofstee Equation (Uni Uni Reaction without Product - Steady State Assumption)
Eadie Hofstee Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
Eadie Hofstee Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
Eadie Hofstee Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
Eadie Hofstee Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
Eadie Hofstee Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
Eadie Hofstee Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
Earth Mass
Earth Radius
Edges
Effective Conductivity
Effective Mass
Effective Mass (Solid-State Physics)
Effective Mass (Spring-Mass System)
Efficient Numerical Simulation of Soil-Tool Interaction
Egyptology
Eigenstress of Crystal
Elastic Stiffness Tensor
Electric Capacitance
Electric Charge
Electric Charge Density
Electric Conductivity
Electric Current
Electric Current Density
Electric Current Density of Electrons
Electric Current Density of Holes
Electric Dipole Moment
Electric Field
Electric Polarizability
Electric Potential
Electric Potential Fourier Coefficients
Electrode Interfaces
Electromagnetic Fields and Waves
Electromagnetism
Electron Mass
Electron Shuttling Model
Electrophysiological Muscle Model
Electrophysiological Muscle ODE System
Elementary Charge
Emission Tomography (No Scatter No Attenuation)
Emission Tomography (No Scatter With Attenuation)
Empirical Distribution of Individuals
Empirical Distribution of Individuals Formulation
Energy
Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)
Enzyme - Product 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)
Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)
Enzyme - Product 1 - Product 2 Complex Concentration
Enzyme - Product 1 Complex Concentration
Enzyme - Product 2 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)
Enzyme - Product 2 Complex Concentration
Enzyme - Substrate - Complex Concentration ODE (Uni Uni Reaction)
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ordered)
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)
Enzyme - Substrate 1 - Complex Concentration ODE (Bi Bi Reaction Theorell-Chance)
Enzyme - Substrate 1 - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ordered)
Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 - Complex Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)
Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex Concentration
Enzyme - Substrate 1 - Substrate 2 Complex Concentration
Enzyme - Substrate 1 Complex Concentration
Enzyme Concentration
Enzyme Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)
Enzyme Concentration ODE (Bi Bi Reaction Ordered)
Enzyme Concentration ODE (Bi Bi Reaction Ping Pong)
Enzyme Concentration ODE (Bi Bi Reaction Theorell-Chance)
Enzyme Concentration ODE (Uni Uni Reaction)
Enzyme Conservation
Enzyme Kinetics
Enzyme-Substrate Complex Concentration
Epidemiology
Equilibrium Constant
Equilibrium Constant (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)
Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption)
Equilibrium Constant (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Equilibrium Constant (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Ermoneit (2023) Optimal control of conveyor-mode spin-qubit shuttling in a Si/SiGe quantum bus in the presence of charged defects
ET Measurement Equation (No Scatter, No Attenuation)
ET Measurement Equation (No Scatter, With Attenuation)
Euler Backward Method
Euler Forward Method
Euler Method
Euler Number
Evaluations Posterior Predictive Distribution
Evolution Of The Concentration Of Particles PDE
Evolution Of The Concentration Of Particles SPDE
Evolution Of The Position Of A Particle SDE
Excess Substrate Assumption
Excitation Error
Expectation Value
Expectation Value (Quantum Density)
Expectation Value (Quantum State)
Exposure of an Individual
External Chemical Potential
External Force Density
Extract Logical Rules
Extrinsic Mortality
Far Field Radiation
Faraday Law
Feedforward Neural Network
Fermi Potential for Electrons
Fermi Potential for Holes
Fewest Switches Surface Hopping 1
Fewest Switches Surface Hopping 2
Fiber Contraction Velocity
Fiber Stretch
Fick Equation
Filtered Value of Image
Finite Volume Method
Fixed Costs
Flow in Porous Media
Fluctuating Parts Of Population Density Fractions Approximately Zero
Fluid Density
Fluid Dynamic Viscosity (Free Flow)
Fluid Dynamic Viscosity (Porous Medium)
Fluid Intrinsic Permeability (Porous Medium)
Fluid Kinematic Viscosity (Free Flow)
Fluid Pressure (Free Flow)
Fluid Pressure (Porous Medium)
Fluid Velocity (Free Flow)
Fluid Velocity (Porous Medium)
Fluid Viscous Stress
Flux
Flux of Electrons
Flux of Holes
Force
Force Constant (Anharmonic)
Force Density
Fourier Equation
Fraction of Population Density of Exposed
Fraction of Population Density of Exposed Formulation
Fraction Of Population Density Of Exposed In The ODE Region
Fraction Of Population Density Of Exposed In The ODE Region (Fluctuating Part)
Fraction Of Population Density Of Exposed In The ODE Region (Mean)
Fraction Of Population Density Of Exposed In The PDE Region
Fraction of Population Density of Infectious
Fraction of Population Density of Infectious Formulation
Fraction Of Population Density Of Infectious In The ODE Region
Fraction Of Population Density Of Infectious In The ODE Region (Fluctuating Part)
Fraction Of Population Density Of Infectious In The ODE Region (Mean)
Fraction Of Population Density Of Infectious In The PDE Region
Fraction of Population Density of Removed
Fraction Of Population Density Of Removed In The ODE Region
Fraction Of Population Density Of Removed In The ODE Region (Fluctuating Part)
Fraction Of Population Density Of Removed In The ODE Region (Mean)
Fraction Of Population Density Of Removed In The PDE Region
Fraction of Population Density of Susceptibles
Fraction of Population Density of Susceptibles Formulation
Fraction Of Population Density Of Susceptibles In The ODE Region
Fraction Of Population Density Of Susceptibles In The ODE Region (Fluctuating Part)
Fraction Of Population Density Of Susceptibles In The ODE Region (Mean)
Fraction Of Population Density Of Susceptibles In The PDE Region
Free Energy Density
Free Fall Determine Gravitation
Free Fall Determine Time
Free Fall Determine Velocity
Free Fall Equation (Air Drag)
Free Fall Equation (Non-Uniform Gravitation)
Free Fall Equation (Vacuum)
Free Fall Height
Free Fall Impact Time
Free Fall Impact Velocity
Free Fall Initial Condition
Free Fall Initial Height
Free Fall Initial Velocity
Free Fall Mass
Free Fall Model (Air Drag)
Free Fall Model (Non-Uniform Gravitation)
Free Fall Model (Vacuum)
Free Fall Terminal Velocity
Free Fall Time
Free Fall Velocity
Free Flow Coupled to Porous Media Flow
Free Flow of an Incompressible Fluid
Frequency
Friction Coefficient
Gamma-Gompertz-Makeham Model
Gamma-Gompertz–Makeham Law
Gattermann (2017) Line pool generation
Gauss Law (Electric Field)
Gauss Law (Magnetic Field)
Gaussian Distribution
Gaussian Noise Model
Gaussian Process
Generalized Compartment Based Morphogen Gradient Model
Generalized Compartment Reaction
Generalized Diffusion Operator
Generalized Poisson Distribution
Generalized Poisson Distribution Formulation
Generalized Reaction Operator
Generalized Steady State Equations
Gompertz Law
Gompertz–Makeham Law
Gramian Generalized Controllability
Gramian Generalized Observability
Gramian Matrix
Gramian Matrix Controllability
Gramian Matrix Observability
Graph Type Identifier
Gravitational Acceleration (Earth Surface)
Gravitational Constant
Gravitational Effects on Fruit
Gröbner Basis
H2 Optimal Approximation
H2 Optimal Approximation (Bi-linear)
H2 Optimal Approximation (Linear)
Hanes (1932) Studies on plant amylases: The effect of starch concentration upon the velocity of hydrolysis by the amylase of germinated barley
Hanes Woolf Equation (Uni Uni Reaction without Product - Steady State Assumption)
Hanes Woolf Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
Hanes Woolf Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
Hanes Woolf Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
Hanes Woolf Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
Hanes Woolf Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
Hanes Woolf Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
Hankel Singular Value
Heat Conduction Model
Heat Flux
Heat Transport
Heavy Particle Kinetic Operator
Heavy Particle Mass
Heavy Particle Mean Force
Heavy Particle Newton Equation
Heavy Particle Position
Heavy Particle Propagation
Heavy Particle Velocity
Heavy Particle Velocity Adjustment
Helfmann (2023) Modelling opinion dynamics under the impact of influencer and media strategies
Heterogeneity of Death Rate
Hill-Type Two-Muscle-One-Tendon Model
Hill-Type Two-Muscle-One-Tendon ODE System
Hofstee (1959) Non-inverted versus inverted plots in enzyme kinetics
Homogeneous Neumann Boundary Conditions
Homs-Pons (2024) Coupled simulations and parameter inversion for neural system and electrophysiological muscle models
Hooke Law (Linear Elasticity)
Hooke Law (Spring)
Huber (2024) Knowledge-Based Modeling of Simulation Behavior for Bayesian Optimization
Hybrid PDE ODE SEIR Model
Hydraulic Conductivity
Hyperstress Potential
Ideal
Identify Destruction Rules in Ancient Egyptian Objects
Identity Function
Image Denoising
Imaginary Unit
Imaging of Nanostructures
Individual Relationship Matrix
Inertia Parameter for Opinion Changes of Influencers
Inertia Parameter for Opinion Changes of Media
Infected Recovery Rate
Infectious
Infectious at Time Step n+1 in the Multi-Population SI Model
Infectious at Time Step n+1 in the Multi-Population SIR Model
Infectious at Time Step n+1 in the Multi-Population SIS Model
Infectious at Time Step n+1 in the SI Model
Infectious at Time Step n+1 in the SIR Model
Infectious at Time Step n+1 in the SIR Model with Births and Deaths
Infectious at Time Step n+1 in the SIS Model
Infectious at Time Step n+1 in the SIS Model with Births and Deaths
Influencer Individual Matrix
Inhibition Constant
Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)
Inhibition Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)
Inhibition Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)
Inhibition Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)
Inhibition Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Inhibition Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Inhibitor Concentration
Initial Classical Density
Initial Classical Momentum
Initial Classical Position
Initial Classical Velocity
Initial Condition for the Continuous SI Model and SIS Model
Initial Condition for the Continuous SIR Model
Initial Condition for the Discrete SI Model
Initial Condition for the Discrete SIR Model with and without Births and Deaths
Initial Condition for the Multi-Population SI Model
Initial Condition for the Multi-Population SIR Model
Initial Condition for the Multi-Population SIS Model
Initial Control State
Initial Control State (Reduced)
Initial Enzyme - Product 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Enzyme - Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Enzyme - Product 2 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
Initial Enzyme - Substrate - Complex Concentration (Uni Uni Reaction - ODE Model)
Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model)
Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
Initial Enzyme - Substrate 1 - Substrate 2 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Enzyme - Substrate 1 - Substrate 2 = Enzyme Product 1 - Product 2 - Complex Concentration (Bi Bi Reaction Ordered with Single Central Compelx - ODE Model)
Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model)
Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model)
Initial Enzyme Concentration (Uni Uni Reaction - ODE Model)
Initial Inhibitor Concentration (Uni Uni Reaction)
Initial Intermediate - Substrate 2 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model)
Initial Intermediate Concentration (Bi Bi Reaction Ping Pong - ODE Model)
Initial Number of Infected Cities
Initial Number Of SEIR Condition
Initial Product 1 Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Product 1 Concentration (Bi Bi Reaction Ordered with Product 1 - Michaelis Menten Model)
Initial Product 1 Concentration (Bi Bi Reaction Ordered without Product 1 - Michaelis Menten Model)
Initial Product 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
Initial Product 1 Concentration (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model)
Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model)
Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model)
Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model)
Initial Product 2 Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Product 2 Concentration (Bi Bi Reaction Ordered with Product 2 - Michaelis Menten Model)
Initial Product 2 Concentration (Bi Bi Reaction Ordered without Product 2 - Michaelis Menten Model)
Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
Initial Product 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
Initial Product 2 Concentration (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model)
Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model)
Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model)
Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model)
Initial Product Concentration (Uni Uni Reaction - ODE Model)
Initial Product Concentration (Uni Uni Reaction with Product)
Initial Product Concentration (Uni Uni Reaction without Product)
Initial Quantum Density
Initial Quantum State
Initial Reaction Rate
Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1
Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 1 and Single Central Complex
Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2
Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Product 2 and Single Central Complex
Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2
Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism with Products 1 and 2 and Single Central Complex
Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products
Initial Reaction Rate of Bi Bi Reaction following Ordered Mechanism without Products and Single Central Complex
Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1
Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2
Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2
Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism without Products
Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1
Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 1 and 2
Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism with Product 2
Initial Reaction Rate of Bi Bi Reaction following Theorell-Chance Mechanism without Products
Initial Reaction Rate of Uni Uni Reaction with Product
Initial Reaction Rate of Uni Uni Reaction without Product
Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Complete Inhibition
Initial Reaction Rate of Uni Uni Reaction without Product and Competitive Partial Inhibition
Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibition
Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Partial Inhibition
Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibition
Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Partial Inhibition
Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibition
Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Partial Inhibition
Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
Initial Substrate 1 Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
Initial Substrate 1 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
Initial Substrate 1 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)
Initial Substrate 2 Concentration (Bi Bi Reaction Ordered - ODE Model)
Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)
Initial Substrate 2 Concentration (Bi Bi Reaction Ping Pong - ODE Model)
Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)
Initial Substrate 2 Concentration (Bi Bi Reaction Theorell-Chance - ODE Model)
Initial Substrate Concentration (Uni Uni Reaction - ODE Model)
Initial Substrate Concentration (Uni Uni Reaction)
Initial Value for Electron Scattering
Integer Number (Dimensionless)
Integral of the Population Density Fraction of Exposed (Initial Condition)
Integral of the Population Density Fraction of Infectious (Initial Condition)
Integral of the Population Density Fraction of Susceptibles (Initial Condition)
Integral of the Total Population Density (Initial Condition)
Interaction Force
Interaction Force on an Individual
Interaction Potential
Interaction Potential Formulation
Interaction Weight
Interaction Weight Between Individuals
Intermediate - Substrate 2 - Complex Concentration ODE (Bi Bi Reaction Ping Pong)
Intermediate - Substrate 2 Complex Concentration
Intermediate Concentration
Intermediate Concentration ODE (Bi Bi Reaction Ping Pong)
Intermolecular Potential
Ion Current
Irreversibility Assumption
Isotropic Gaussian Function
Isotropic Gaussian Function Formulation
Jahnke (2022) Efficient Numerical Simulation of Soil-Tool Interaction
Joint Probability
Jump Rate of A
Jump Rate of B
Kack (2001) Principles of Computerized Tomographic Imaging
Koprucki (2017) Numerical methods for drift-diffusion models
Kostré (2022) Understanding the romanization spreading on historical interregional networks in Northern Tunisia
Lagrange Multiplier
Laplace Equation for the Electric Potential
Length
Length of Unit Cell
Length Scale of Attractive Forces
Length Scale of Repulsive Forces
Leskovac (2003) Comprehensive Enzyme Kinetics
Level of Mortality
Light Particle Density Matrix
Light Particle Eigen Energy
Light Particle Eigen State
Light Particle Expansion Coefficient
Light Particle Hamiltonian
Light Particle Kinetic Operator
Light Particle Mass
Light Particle Nonadiabatic Coupling 1
Light Particle Nonadiabatic Coupling 2
Light Particle Nonadiabatic Criterion 1
Light Particle Nonadiabatic Criterion 2
Light Particle Nonadiabatic Probability 1
Light Particle Nonadiabatic Probability 2
Light Particle Nonadiabatic Transitions
Light Particle Position
Light Particle Propagation
Light Particle State Vector
Light Particle TDSE
Light Particle Time Overlap
Light Particle TISE
Likelihood Value
Limiting Distribution of Individuals
Limiting Distribution of Individuals Formulation
Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward)
Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Forward)
Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism with Single Central Complex - Forward)
Limiting Reaction Rate (Uni Uni Reaction - Backward)
Limiting Reaction Rate (Uni Uni Reaction - Forward)
Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex)
Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong)
Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance)
Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong)
Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance)
Limiting Reaction Rate with Inhibitor (Uni Uni Reaction - Forward)
Line Concept
Line Concept Costs
Line Costs Computation
Line Planning
Linear Discrete Element Method
Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Irreversibility Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Rapid Equilibrium Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product - Eadie Hofstee Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Irreversibility Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Rapid Equilibrium Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product - Hanes Woolf Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Irreversibility Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Rapid Equilibrium Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product - Lineweaver Burk Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Dixon Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Dixon Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Dixon Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Dixon Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Eadie Hofstee Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Hanes Woolf Model - Steady State Assumption)
Linear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Lineweaver Burk Model - Steady State Assumption)
Linear Parameter Estimation of Enzyme Kinetics
Linear Rotor
Linear Rotor (Apolar)
Linear Rotor (Combined)
Linear Rotor (Non-Rigid)
Linear Rotor (Polar)
Linear Strain
Lineweaver (1934) The Determination of Enzyme Dissociation Constants
Lineweaver Burk Equation (Uni Uni Reaction without Product - Steady State Assumption)
Lineweaver Burk Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
Lineweaver Burk Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
Lineweaver Burk Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
Lineweaver Burk Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
Lineweaver Burk Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
Lineweaver Burk Equation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
Link Recommendation Function
Liouville-von Neumann Equation
Logical Rule Extraction Formulation
Lorentz Force Equation (Non-Relativistic)
Lorentz Force Equation (Relativistic)
Lorentz Force Model (Non-Relativistic)
Lorentz Force Model (Relativistic)
Loss Function (Romanization)
Loss Function Minimization
Loss Function Model
Lumped Activation Parameter
Lyapunov Equation
Lyapunov Equation Controllability
Lyapunov Equation Observability
Lyapunov Generalized Controllability
Lyapunov Generalized Observability
Magnetic Field
Mass
Mass Action Law
Mass Balance Law
Material Density
Material Point Acceleration
Material Point Displacement
Material Point Velocity
Mathematical Analysis of DHW Equation
Matrix M
Matrix S
Maximal Object Descriptiveness Rating
Maximizing Poisson log-Likelihood
Maximum Isometric Muscle Force
Maximum Likelihood Estimation
Maxwell Equations Model
Mean Field Ehrenfest
Mean-Field PDE Model
Mean-Field SPDE Model
Mean-Field Theory
Mechanical Deformation
Mechanical Deformation (Boundary Value)
Mechanical Strain
Mechanical Stress
Medical Imaging
Medium Follower Matrix
Medium Influencer Fraction
Medium Influencer Fraction Limit
Membrane Capacitance
Michaelis (1913) Die Kinetik der Invertinwirkung
Michaelis Constant
Michaelis Constant Product (Uni Uni Reaction - Steady State Assumption)
Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Product 1 (Bi Bi Reaction Ordered - Steady State Assumption)
Michaelis Constant Product 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Product 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Single Central Complex - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Product 2 (Bi Bi Reaction Ordered - Steady State Assumption)
Michaelis Constant Product 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Product 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Substrate (Uni Uni Reaction - Irreversibility Assumption)
Michaelis Constant Substrate (Uni Uni Reaction - Rapid Equilibrium Assumption)
Michaelis Constant Substrate (Uni Uni Reaction - Steady State Assumption)
Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered - Steady State Assumption)
Michaelis Constant Substrate 1 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)
Michaelis Constant Substrate 1 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Substrate 1 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered - Steady State Assumption)
Michaelis Constant Substrate 2 (Bi Bi Reaction Ordered with Single Central Complex - Steady State Assumption)
Michaelis Constant Substrate 2 (Bi Bi Reaction Ping Pong - Michaelis Menten Model - Steady State Assumption)
Michaelis Constant Substrate 2 (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 1 and Single Central Complex - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ordered with Product 2 and Single Central Complex - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ordered with Products 1 and 2 and Single Central Complex - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ordered without Products - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ordered without Products and Single Central Complex - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 1 - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Product 2 - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ping Pong with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Ping Pong without Products - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 1 - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Product 2 - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance with Products 1 And 2 - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Bi Bi Reaction Theorell-Chance without Products - Michaelis Menten Model - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction with Product - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product - Irreversibility Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product - Rapid Equilibrium Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction Without Product and Uncompetitive Complete Inhibition - Steady State Assumption)
Michaelis Menten Equation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Steady State Assumption)
Mixed Enzyme Inhibition Coupling Condition (Uni Uni Reaction)
Mobility of Electrons
Mobility of Holes
Model Order Reduction
Molecular Alignment
Molecular Dynamics
Molecular Orientation
Molecular Physics
Molecular Reaction Dynamics
Molecular Rotation
Molecular Spectroscopy
Molecular Spectroscopy (Transient)
Molecular Spectrosopy (Stationary)
Molecular Vibration
Molecularity
Momentum
Momentum Balance Equation
Monodomain Equation for Action Potential Propagation
MOR Transformation Matrix
Morphogen
Mortality Modeling
Motor Neuron Pool Model
Motor Neuron Pool ODE System
Multi Grid Reaction Diffusion Master Equation
Multi-Population Discrete Susceptible Infectious Model
Multi-Population Discrete Susceptible Infectious Removed Model
Multi-Population Discrete Susceptible Infectious Susceptible Model
Multipolar Expansion Model (3D)
Muscle Contraction Velocity
Muscle Length
Muscle Movement
Muscle Spindle Firing Rate
Navier Stokes Equation
Near Field Radiation
Neumann Boundary Condition
Neumann Boundary Condition (Stress-Free Relaxation)
Neumann Boundary Condition for Electric Potential
Neumann Boundary Condition for Electron Fermi Potential
Neumann Boundary Condition for Hole Fermi Potential
Neumann Boundary Condition for SEIR Model
Neural Firing Rate
Neural Input
Nodes
Noise Strength
Non-Competitive Enzyme Inhibition Coupling Condition (Uni Uni Reaction)
Non-Local Means
Nonlinear Parameter Estimation (Uni Uni Reaction with Product - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Irreversibility Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Rapid Equilibrium Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Mixed Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Non-Competitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Complete Inhibition - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation (Uni Uni Reaction without Product and Uncompetitive Partial Inhibition - Michaelis Menten Model - Steady State Assumption)
Nonlinear Parameter Estimation of Enzyme Kinetics
Nonrelativistic Approximation
Normal Interaction Force of Two Particles
Normal Mode Coordinate
Normal Mode Coordinate (Dimensionless)
Normal Mode Momentum
Normal Mode Momentum (Dimensionless)
Normal Modes
Normal Modes (Anharmonic)
Normal Modes (Harmonic)
Normal Modes (Intermolecular)
Normal Stiffness
Normal Stress
Normal Vector
Normalization Image Processing
Nuclear Medicine
Number (Dimensionless)
Number of Cities
Number of Exposed Individuals
Number of Exposed Individuals Formulation
Number of Individuals Tends to Infinity Assumption
Number of Infected Cities
Number of Infectious Individuals
Number of Object Properties
Number of Objects
Number of Occurrences
Number of Particles
Number of Regions
Number of Removed Individuals
Number of Spindles
Number of Susceptible Cities
Number of Susceptible Individuals
Number of Susceptible Individuals Formulation
Number of Time Points
Numerical Simulation
Object
Object Cluster Formulation
Object Cluster Matrix
Object Committor Function Formulation
Object Committor Functions
Object Commonality Formulation
Object Commonality Matrix
Object Comparison Formulation
Object Comparison Model
Object Property
Object Rating Formulation
Object Rating Matrix
Object Rating Matrix Decomposition (Schur)
ODE SEIR Model
Ohm Equation
Oosterhout (2024) Finite-strain poro-visco-elasticity with degenerate mobility
Operators Oi Minus
Operators Oi Plus
Opinion
Opinion Dynamics
Opinion Model with Influencers and Media
Opinion Vector of Individuals
Opinion Vector of Influencers
Opinion Vector of Media
Optimal Control
Optimal Control Backward
Optimal Control Constraint
Optimal Control Cost
Optimal Control Final
Optimal Control Forward
Optimal Control Initial
Optimal Control Penalty Factor
Optimal Control Target
Optimal Control Update
Optimization in Public Transportation
Orthogonal Matrix
Overall Distribution of Individuals
Overall Distribution of Individuals Formulation
Pair Function
Pair Function Assumption
Parameter Estimation of Enzyme Kinetics
Parameter to Scale Attractive Force from Influencers
Parameter to Scale Attractive Force from Media
Parameter to Scale Attractive Force from Other Individuals
Partial Mean Field Opinion Model
Particle Flux Density
Particle Mass
Particle Movement on a Line
Particle Movement on a Line (No Attenuation)
Particle Number Density
Particle Position
Particle Radius
Particle Velocity
Particles in Electromagnetic Fields
Passive Muscle Force
Passive Muscle Strain
Passive Tendon Force
PDE SEIR Model
Period Length
Periodic Boundary Condition for Electric Potential
Periodic Boundary Conditions
Permeability (Vacuum)
Permittivity (Dielectric)
Permittivity (Relative)
Permittivity (Vacuum)
Physical Chemistry
Pi Number
Planck Constant
Poisson Distribution
Poisson Equation for the Electric Potential
Poisson Equation for the Electric Potential (Finite Volume)
Poisson log-Likelihood
Poisson-Distributed Deaths
Polar Angle
Pomology
Population Density
Poro-Visco-Elastic (Dirichlet Boundary)
Poro-Visco-Elastic (Neumann Boundary)
Poro-Visco-Elastic Diffusion Boundary Condition
Poro-Visco-Elastic Diffusion Equation
Poro-Visco-Elastic Evolution
Poro-Visco-Elastic Model
Poro-Visco-Elastic Quasistatic Equation
Position
Position Of A Particle
Positron Emission Tomography
Positron Emission Tomography Equation
Power Set
Predicting Simulation Error and Runtime
Pressure
Probability Distribution
Product 1 Concentration
Product 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)
Product 1 Concentration ODE (Bi Bi Reaction Ordered)
Product 1 Concentration ODE (Bi Bi Reaction Ping Pong)
Product 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)
Product 2 Concentration
Product 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)
Product 2 Concentration ODE (Bi Bi Reaction Ordered)
Product 2 Concentration ODE (Bi Bi Reaction Ping Pong)
Product 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)
Product Concentration
Product Concentration ODE (Uni Uni Reaction)
Product Of Poisson Distributions
Product Of Poisson Distributions From the mgRDME
Proton Electron Mass Ratio
Proton Mass
PTN Line
Public Transportation Network
Quantile Function of the Beta Distribution
Quantum Angular Momentum Operator
Quantum Conditional Quasi-Solvability
Quantum Damping Rate
Quantum Density Operator
Quantum Eigen Energy
Quantum Eigen Energy (Anharmonic)
Quantum Eigen Energy (Harmonic)
Quantum Eigen Energy (Intermolecular)
Quantum Eigen Energy (Linear Non-Rigid Rotor)
Quantum Eigen Energy (Linear Rigid Rotor)
Quantum Hamiltonian (Electric Charge)
Quantum Hamiltonian (Electric Dipole)
Quantum Hamiltonian (Electric Polarizability)
Quantum Hamiltonian (Linear Rotor)
Quantum Hamiltonian (Non-Rigid Rotor)
Quantum Hamiltonian (Normal Mode)
Quantum Hamiltonian (Normal Mode, Anharmonic)
Quantum Hamiltonian (Normal Mode, Harmonic)
Quantum Hamiltonian (Normal Mode, Intermolecular)
Quantum Hamiltonian (Symmetric Top)
Quantum Hamiltonian Operator
Quantum Jump Operator
Quantum Kinetic Operator
Quantum Lindblad Equation
Quantum Mechanical Operator
Quantum Model (Closed System)
Quantum Model (Open System)
Quantum Momentum Operator
Quantum Number
Quantum Potential Operator
Quantum State Vector
Quantum State Vector (Dynamic)
Quantum State Vector (Stationary)
Quantum Stationary States
Quantum Time Evolution
Quantum-Classical Hamiltonian
Quantum-Classical Mass Separation
Quantum-Classical Model
Quantum-Classical Potential
Radiant Intensity
Radius
Random Number
Random Variable
Rapid Equilibrium Assumption
Rate
Rate of Aging
Rate of Becoming Infectious
Rate Of Change Of Population Density Fraction Of Exposed Mean ODE
Rate of Change of Population Density Fraction of Exposed PDE
Rate Of Change Of Population Density Fraction Of Infectious Mean ODE
Rate of Change of Population Density Fraction of Infectious PDE
Rate Of Change Of Population Density Fraction Of Removed Mean ODE
Rate of Change of Population Density Fraction of Removed PDE
Rate Of Change Of Population Density Fraction Of Susceptibles Mean ODE
Rate of Change of Population Density Fraction of Susceptibles PDE
Rate of Change of Susceptible Cities
Rate of Switching Influencers
Rate of Switching Influencers Formulation
Reaction Diffusion Master Equation
Reaction Diffusion System
Reaction Operator
Reaction Rate
Reaction Rate Constant
Reaction Rate of Enzyme
Reaction Rate of Enzyme - Product 1 - Product 2 Complex
Reaction Rate of Enzyme - Product 1 Complex
Reaction Rate of Enzyme - Product 2 Complex
Reaction Rate of Enzyme - Substrate 1 - Substrate 2 = Enzyme - Product 1 - Product 2 Complex
Reaction Rate of Enzyme - Substrate 1 - Substrate 2 Complex
Reaction Rate of Enzyme - Substrate 1 Complex
Reaction Rate of Intermediate
Reaction Rate of Intermediate - Substrate 2 Complex
Reaction Rate of Product 1
Reaction Rate of Product 2
Reaction Rate of Substrate 1
Reaction Rate of Substrate 2
Real Number (Dimensionless)
Reciprocal Lattice
Reciprocal Lattice Vectors
Recombination of Electron Hole Pairs
Recurrent Neural Network
Recurrent Neural Network Surrogate for Discrete Element Method
Region
Region Connectivity
Relative Removal Rate
Relativistic Momentum
Removed
Removed at Time Step n+1 in the Discrete SIR Model
Removed at Time Step n+1 in the Discrete SIR Model with Births and Deaths
Removed at Time Step n+1 in the Multi-Population Discrete SIR Model
Reynolds Number
Right Hand Side Of Differential Equation
Risk of Death
Roman Archaeology
Romanization Parameter Estimation
Romanization Spreading in Northern Tunesia
Romanization Time Evolution
Romanized Cities Vector
Rotational Constant
Runge–Kutta Method
Scaling Parameter for Switching Influencers
Scattering Coefficient
Scattering Cross Section
Scharfetter-Gummel Scheme
Schrödinger Equation (Chebychev Polynomial)
Schrödinger Equation (Differencing Scheme)
Schrödinger Equation (Lie-Trotter)
Schrödinger Equation (Second Order Differencing)
Schrödinger Equation (Split Operator)
Schrödinger Equation (Strang-Marchuk)
Schrödinger Equation (Time Dependent)
Schrödinger Equation (Time Independent)
Second Condition for Positive Solutions in the Multi Population SIS Model
Second Condition for Positive Solutions in the SIR Model with Births and Deaths
Second Condition for Positive Solutions in the SIS Model
Second Condition for Positive Solutions in the SIS Model with Births and Deaths
Second Eigenvalue of Orthogonal Matrix
SEIR Derivative Relation
Semiconductor Charge Neutrality
Semiconductor Current Voltage
Semiconductor Physics
Semiconductor Thermal Equilibrium
Sensitivity Analysis of Complex Kinetic Systems
Sensory Organ Current
Sensory Organ Equation
Sensory Organ Model
Signal
Simulation Behavior Prediction by a Stochastic Model
Simulation Behavior Prediction Formulation
Simulation Behavior Prediction Global Formulation
Simulation Behavior Prediction Global Stochastic Model
Simulation Behavior Prediction Local Formulation
Simulation Behavior Prediction Local Stochastic Model
Simulation of Complex Kinetic Systems
Simulation of TEM Images
Slyke (1914) The mode of action of urease and of enzymes in general
Solar System Equations of Motion
Solar System Mechanics
Solar System Model
Sort Ancient Egyptian Objects
Sorting Objects
Spatial Variable
Species Transport
SPECT Known Attenuation
SPECT Measured Data
SPECT Unknown Attenuation
Speed of Light
Spherical Harmonics Expansion (3D)
Spin Qbit Shuttling
Spreading Curve (Approximate)
Spreading Curve (Approximate, Formulation)
Spreading of Infectious Diseases
Spreading Rate (Time-dependent)
Spreading Rate (Time-Dependent) Constraint
Spring Constant
Stability Autonomous System
Standard Compartment-Based Morphogen Gradient Model
State Variable
State Vector
Stationary Distribution
Stationary Multi Grid Reaction Diffusion Master Equation
Stationary Reaction-Diffusion Master Equation
Statistics
Steady State Assumption
Steady State Equations
Stiffness
Stochastic Particle Based Model For Clustering Dynamics
Stochastic Process
Stokes Darcy Coupling Conditions
Stokes Darcy Equation (Discretized, pv)
Stokes Darcy Equation (Discretized, td)
Stokes Darcy Model
Stokes Darcy Model (Discretized)
Stokes Equation
Stokes Equation (Euler Backward)
Stokes Equation (Finite Volume)
Stokes Model
Stokes Model (Discretized)
Strength Of Attractive Forces
Strength Of Repulsive Forces
Stress Free Muscle Length
Stress Free Tendon Length
Stress of Crystal
Stress Tensor (Cauchy)
Stress Tensor (Piola-Kirchhoff)
Students t-distribution
Suan (2010) Kinetic and reactor modelling of lipases catalyzed (R,S)-1-phenylethanol resolution
Subcellular DAE System
Subcellular Model
Substrate 1 Concentration
Substrate 1 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)
Substrate 1 Concentration ODE (Bi Bi Reaction Ordered)
Substrate 1 Concentration ODE (Bi Bi Reaction Ping Pong)
Substrate 1 Concentration ODE (Bi Bi Reaction Theorell-Chance)
Substrate 2 Concentration
Substrate 2 Concentration ODE (Bi Bi Reaction Ordered with Single Central Complex)
Substrate 2 Concentration ODE (Bi Bi Reaction Ordered)
Substrate 2 Concentration ODE (Bi Bi Reaction Ping Pong)
Substrate 2 Concentration ODE (Bi Bi Reaction Theorell-Chance)
Substrate Concentration
Substrate Concentration ODE (Uni Uni Reaction)
Surface Force Density
Susceptible Cities ODE
Susceptible Infectious Epidemic Spreading Model
Susceptible Infectious Epidemic Spreading ODE System
Susceptible Infectious Removed Model with Births and Deaths
Susceptible Infectious Susceptible Model with Births and Deaths
Susceptibles
Susceptibles at Time Step n +1 in the Discrete Multi Population SI Model
Susceptibles at Time Step n +1 in the Discrete Multi Population SIR Model
Susceptibles at Time Step n +1 in the Discrete Multi Population SIS Model
Susceptibles at Time Step n+1 in the Discrete SI Model
Susceptibles at Time Step n+1 in the Discrete SIR Model
Susceptibles at Time Step n+1 in the Discrete SIR Model with Births and Deaths
Susceptibles at Time Step n+1 in the Discrete SIS Model
Susceptibles at Time Step n+1 in the Discrete SIS Model with Births and Deaths
Sylvester (1884) Sur léquations en matrices px = xq
Sylvester Equation
Sylvester Equation Controllability
Sylvester Equation Observability
Sylvester Generalized Controllability
Sylvester Generalized Observability
Symmetric Top (Combined)
Symmetry Analysis in TEM Images
Symptomatic Infection Rate
Tangential Interaction Force of Two Particles
Tangential Stiffness
Temperature
Tendon Length
Tendon Strain
Thermal Conductivity
Time
Time Independence of Hamiltonian
Time Point
Time Step
Torque
Torque of Particle
Total Number of Individuals
Total Population Density
Total Population Density Formulation
Total Population Size
Transmembrane Potential
Transmission Electron Microscopy
Transport Equation
Transport Model
Transport of Matter
Transport Route
Transportation Planning
Turn Over Time
Two Chains Of Chemical Reactions
Uncompetitive Inhibition Constant (Uni Uni Reaction Reversible Inhibition)
Unfiltered Value of Image
Uni Uni Reaction
Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption)
Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption)
Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption)
Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption)
Uni Uni Reaction (Hanes Woolf Model without Product - Rapid Equilibrium Assumption)
Uni Uni Reaction (Hanes Woolf Model without Product - Steady State Assumption)
Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption)
Uni Uni Reaction (Lineweaver Burk Model without Product - Rapid Equilibrium Assumption)
Uni Uni Reaction (Lineweaver Burk Model without Product - Steady State Assumption)
Uni Uni Reaction (Michaelis Menten Model with Product - Steady State Assumption)
Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption)
Uni Uni Reaction (Michaelis Menten Model without Product - Rapid Equilibrium Assumption)
Uni Uni Reaction (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction (ODE Model)
Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption)
Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction Mixed Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction Non-Competitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction ODE System
Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption)
Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption)
Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption)
Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption)
Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction Uncompetitive Partial Inhibition (Michaelis Menten Model without Product - Steady State Assumption)
Uni Uni Reaction with Competitive Complete Inhibition
Uni Uni Reaction with Competitive Partial Inhibition
Uni Uni Reaction with Mixed Complete Inhibition
Uni Uni Reaction with Mixed Partial Inhibition
Uni Uni Reaction with Non-Competitive Complete Inhibition
Uni Uni Reaction with Non-Competitive Partial Inhibition
Uni Uni Reaction with Reversible Complete Inhibition
Uni Uni Reaction with Reversible Partial Inhibition
Uni Uni Reaction with Uncompetitive Complete Inhibition
Uni Uni Reaction with Uncompetitive Partial Inhibition
Uniform Gravitational Acceleration
Unit Normal Vector
Unit Outer Normal Vector
Unit Tangent Vector
Unknown Function
Unknown Matrix
Upper-Triangular Matrix
Vanishing Air Density
Vanishing Drag Coefficient
Variance
Velocity
Vibration Frequency (Anharmonic)
Vibration Frequency (Harmonic)
Vibrational Frequency Shift (1st Order)
Vibrational Frequency Shift (2nd Order)
Viscosity
Viscous Dissipation Potential
Voltage
Wave Vector of an Electron
Weber (2022) The Mathematics of Comparing Objects
Weight Factor
Weighting Function
Weiser (2024) Hybrid PDE-ODE Models For Efficient Simulation Of Infection Spread In Epidemiology
White Noise
White Noise Distribution Assumption
Wiener Process
Winkelman (2024) Multi-Grid Reaction-Diffusion Master Equation: Applications to Morphogen Gradient Modelling
Winkelmann (2024) Approximating particle-based clustering dynamics by stochastic PDEs
Young Modulus
Zero Flux Condition

A Produced In First Compartmentⁿⁱ back to ToC or Named Individual ToC

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

signal A is produced in the first compartment on the left

belongs to: Mathematical Formulation ^c
has facts: assumed by ^op Generalized Compartment Based Morphogen Gradient Model ⁿⁱ; assumed by ^op Standard Compartment-Based Morphogen Gradient Model ⁿⁱ; contains ^op Compartment Size ⁿⁱ; contains ^op Reaction Rate Constant ⁿⁱ; contains ^op Signal ⁿⁱ; defining formulation ^dp "$\emptyset \xrightarrow{k_1 / h} A_1$"^^La Te X ^ep; in defining formulation ^dp "$A$, Signal"^^La Te X ^ep; in defining formulation ^dp "$h$, Compartment Size"^^La Te X ^ep; in defining formulation ^dp "$k_1$, Reaction Rate Constant"^^La Te X ^ep; description ^ap "Particles of A are produced at a rate of 𝑘₁."@en

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 n₀ = 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 Mean ODE 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 Mean ODE ⁿⁱ; contained in ^op Rate of Change of Population Density Fraction of Susceptibles PDE ⁿⁱ; MaRDI ID ^ap Item: Q6673736 ^ep

Allen (1993) Some Discrete-Time SI, SIR and SIS Epidemic Modelsⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Allen_1993_Some_Discrete-Time_SI_SIR_and_SIS_Epidemic_Models

publication

belongs to: Publication ^c
has facts: describes ^op Continuous Susceptible Infectious Model ⁿⁱ; describes ^op Continuous Susceptible Infectious Removed Model ⁿⁱ; describes ^op Continuous Susceptible Infectious Susceptible Model ⁿⁱ; describes ^op Discrete Susceptible Infectious Model ⁿⁱ; describes ^op Discrete Susceptible Infectious Removed Model ⁿⁱ; describes ^op Discrete Susceptible Infectious Susceptible Model ⁿⁱ; describes ^op Susceptible Infectious Removed Model with Births and Deaths ⁿⁱ; describes ^op Susceptible Infectious Susceptible Model with Births and Deaths ⁿⁱ; describes documentation of ^op Continuous Susceptible Infectious Model ⁿⁱ; describes documentation of ^op Continuous Susceptible Infectious Removed Model ⁿⁱ; describes documentation of ^op Continuous Susceptible Infectious Susceptible Model ⁿⁱ; describes documentation of ^op Discrete Susceptible Infectious Model ⁿⁱ; describes documentation of ^op Discrete Susceptible Infectious Removed Model ⁿⁱ; describes documentation of ^op Discrete Susceptible Infectious Susceptible Model ⁿⁱ; describes documentation of ^op Susceptible Infectious Removed Model with Births and Deaths ⁿⁱ; describes documentation of ^op Susceptible Infectious Susceptible Model with Births and Deaths ⁿⁱ; DOI ^ap 0025 5564(94)90025 6 ^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

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

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

Approximate Predictive Distributionⁿⁱ back to ToC or Named Individual ToC

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

in Bayesian statistics, the distribution of a new data point marginalized over the posterior

belongs to: Computational Task ^c
has facts: contains ^op Approximation Predictive Distribution ⁿⁱ; contains ^op Evaluations Posterior Predictive Distribution ⁿⁱ; contains ^op Simulation Behavior Prediction Formulation ⁿⁱ; contains input ^op Evaluations Posterior Predictive Distribution ⁿⁱ; contains output ^op Approximation Predictive Distribution ⁿⁱ; Wikidata ID ^ap Q7234227 ^ep

Approximation Predictive Distributionⁿⁱ back to ToC or Named Individual ToC

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

approximation to predictive distribution $p(y | x, X, Y)$ at point $x$

belongs to: Quantity ^c
has facts: contained as output in ^op Approximate Predictive Distribution ⁿⁱ; contained in ^op Approximate Predictive Distribution ⁿⁱ

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; specialized by ^op Scattering Cross Section ⁿⁱ; MaRDI ID ^ap Item: Q6673693 ^ep; QUDT ID ^ap Area ^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; MaRDI ID ^ap Item: Q6675321 ^ep; 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 Mean ODE 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 Mean ODE 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 Mean ODE 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 Removed Mean ODE 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

Attenuation Coefficientⁿⁱ back to ToC or Named Individual ToC

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

measure for the exponential reduction of a quantity along a path due to absorption and scattering

belongs to: Quantity Kind ^c
has facts: contained in ^op Boltzmann Equation for Moving Particles ⁿⁱ; contained in ^op Boltzmann Equation for Moving Particles (time continuous, No Scatter Assumption) ⁿⁱ; contained in ^op CT Measurement Equation (No Scatter) ⁿⁱ; contained in ^op ET Measurement Equation (No Scatter, With Attenuation) ⁿⁱ; contained in ^op Particle Movement on a Line ⁿⁱ; contained in ^op Positron Emission Tomography Equation ⁿⁱ; contained in ^op Boltzmann Equation for Moving Particles (time continuous) ⁿⁱ; specialized by ^op Attenuation Distribution ⁿⁱ; QUDT ID ^ap Attenuation Coefficient ^ep; Wikidata ID ^ap Q902086 ^ep

Attenuation Distributionⁿⁱ back to ToC or Named Individual ToC

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

distribution of attenuation coefficients

belongs to: Quantity ^c
has facts: contained as input in ^op SPECT Known Attenuation ⁿⁱ; contained as output in ^op SPECT Unknown Attenuation ⁿⁱ; contained in ^op SPECT Known Attenuation ⁿⁱ; contained in ^op SPECT Unknown Attenuation ⁿⁱ; specializes ^op Attenuation Coefficient ⁿⁱ

Attraction Dominates Repulsion Assumptionⁿⁱ back to ToC or Named Individual ToC

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

attractive forces always dominate repulsive forces

belongs to: Mathematical Formulation ^c
has facts: assumed by ^op Stochastic Particle Based Model For Clustering Dynamics ⁿⁱ; contains ^op Length Scale of Attractive Forces ⁿⁱ; contains ^op Length Scale of Repulsive Forces ⁿⁱ; contains ^op Strength Of Attractive Forces ⁿⁱ; contains ^op Strength Of Repulsive Forces ⁿⁱ; defining formulation ^dp "\begin{align*} \frac{l_r}{l_a} < 1 \\ \frac{C_r}{C_a} < 1 \end{align*}"^^La Te X ^ep; in defining formulation ^dp "$C_a$, Strength Of Attractive Forces"^^La Te X ^ep; in defining formulation ^dp "$C_r$, Strength Of Repulsive Forces"^^La Te X ^ep; in defining formulation ^dp "$l_a$, Length Scale Of Attractive Forces"^^La Te X ^ep; in defining formulation ^dp "$l_r$, Length Scale Of Repulsive Forces"^^La Te X ^ep; description ^ap "At close distances the attractive force diminishes due to the presence of the repulsive force."@en

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 Number Of Molecules Of Morphogenⁿⁱ back to ToC or Named Individual ToC

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

average number of molecules of species B

belongs to: Quantity ^c
has facts: contained in ^op Generalized Steady State Equations ⁿⁱ; contained in ^op Product Of Poisson Distributions ⁿⁱ; contained in ^op Product Of Poisson Distributions From the mgRDME ⁿⁱ; contained in ^op Steady State Equations ⁿⁱ; defining formulation ^dp "$\overline{\mathbf{B}} \equiv \left(\begin{array}{c}\bar{B}_1 \\ \bar{B}_2 \\ \bar{B}_3 \\ \vdots \\ \bar{B}_{K-1} \\ \bar{B}_K\end{array}\right)$"^^La Te X ^ep; description ^ap "Subscript i denotes the i-th compartment."@en

Average Number Of Molecules Of Signalⁿⁱ back to ToC or Named Individual ToC

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

average number of molecules of species A

belongs to: Quantity ^c
has facts: contained in ^op Generalized Steady State Equations ⁿⁱ; contained in ^op Product Of Poisson Distributions ⁿⁱ; contained in ^op Product Of Poisson Distributions From the mgRDME ⁿⁱ; contained in ^op Steady State Equations ⁿⁱ; defining formulation ^dp "$\overline{\mathbf{A}} \equiv \left(\begin{array}{c}\bar{A}_1 \\ \bar{A}_2 \\ \bar{A}_3 \\ \vdots \\ \bar{A}_{K-1} \\ \bar{A}_K\end{array}\right)$"^^La Te X ^ep; description ^ap "Subscript i denotes the i-th compartment."@en

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 𝑊𝑐 and 𝑊ₒ are symmetric and positive definite. Note that the squared HSVs are the eigenvalues of the product of 𝑊𝑐 and 𝑊ₒ."@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

Basis Functionⁿⁱ back to ToC or Named Individual ToC

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

element of a basis for a function space

belongs to: Quantity Kind ^c
has facts: contained in ^op Simulation Behavior Prediction Global Formulation ⁿⁱ; Wikidata ID ^ap Q2621825 ^ep

Bayesian Modelingⁿⁱ back to ToC or Named Individual ToC

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

statistical approach combining prior knowledge with observed data predictions

belongs to: Research Field ^c
has facts: contains ^op Predicting Simulation Error and Runtime ⁿⁱ

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 Ordered Mechanismⁿⁱ back to ToC or Named Individual ToC

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

bi bi reaction with an ordered mechanism

belongs to: Research Problem ^c
has facts: contained in ^op Enzyme Kinetics ⁿⁱ; modeled by ^op Bi Bi Reaction Ordered Mechanism (ODE Model) 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 2 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 without Products ⁿⁱ; specializes ^op Bi Bi Reaction ⁿⁱ; MaRDI ID ^ap Item: Q6684636 ^ep

Bi Bi Reaction following Ordered Mechanism with Single Central Complexⁿⁱ back to ToC or Named Individual ToC

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

bi bi reaction with an ordered mechanism 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 with Single Central Complex (ODE Model) 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 and Single Central Complex 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 and Single Central Complex ⁿⁱ; specializes ^op Bi Bi Reaction ⁿⁱ; MaRDI ID ^ap Item: Q6684637 ^ep

Bi Bi Reaction following Ping Pong Mechanismⁿⁱ back to ToC or Named Individual ToC

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

bi bi reaction with a ping pong mechanism

belongs to: Research Problem ^c
has facts: contained in ^op Enzyme Kinetics ⁿⁱ; modeled by ^op Bi Bi Reaction Ping Pong Mechanism (ODE Model) 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; specializes ^op Bi Bi Reaction ⁿⁱ; MaRDI ID ^ap Item: Q6684623 ^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; MaRDI ID ^ap Item: Q6684642 ^ep

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. kᵢ 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. kᵢ 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. kᵢ 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. kᵢ 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

Biodistribution of Gamma-Radiation Emitting Radiotracers in Vivoⁿⁱ back to ToC or Named Individual ToC

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

biodistribution of gamma-radiation emitting radiotracers in vivo

belongs to: Research Problem ^c
has facts: contained in ^op Medical Imaging ⁿⁱ; contained in ^op Nuclear Medicine ⁿⁱ; modeled by ^op Emission Tomography (No Scatter With Attenuation) ⁿⁱ

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

Birth Rateⁿⁱ back to ToC or Named Individual ToC

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

total number of live births per 1,000 population divided by the length of a given period in years

belongs to: Quantity ^c
has facts: 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 with Births and Deaths 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 Discrete SIR 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 with Births and Deaths 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 with Births and Deaths ⁿⁱ; specializes ^op Rate ⁿⁱ; is dimensionless ^dp "false"^^boolean; description ^ap "Birth Rate to be used in the SIR and SIS Models with Births and Deaths. Note that, it is assumed that death rate = birth rate."@en; MaRDI ID ^ap Item: Q6673824 ^ep; Wikidata ID ^ap Q203516 ^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

Boltzmann Equationⁿⁱ back to ToC or Named Individual ToC

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

describes the statistical behaviour of a thermodynamic system not in a state of equilibrium

belongs to: Mathematical Formulation ^c
has facts: specialized by ^op Boltzmann Equation for Moving Particles ⁿⁱ; specialized by ^op Boltzmann Equation for Moving Particles (time continuous, No Scatter Assumption) ⁿⁱ; specialized by ^op Particle Movement on a Line ⁿⁱ; specialized by ^op Particle Movement on a Line (No Attenuation) ⁿⁱ; specialized by ^op Boltzmann Equation for Moving Particles (time continuous) ⁿⁱ; Wikidata ID ^ap Q891653 ^ep

Boltzmann Equation for Moving Particlesⁿⁱ back to ToC or Named Individual ToC

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

special version of the Boltzmann equation for moving particles

belongs to: Mathematical Formulation ^c
has facts: contains ^op Attenuation Coefficient ⁿⁱ; contains ^op Density ⁿⁱ; contains ^op Normal Vector ⁿⁱ; contains ^op Particle Velocity ⁿⁱ; contains ^op Scattering Coefficient ⁿⁱ; contains ^op Scattering Cross Section ⁿⁱ; contains ^op Time ⁿⁱ; specialized by ^op Boltzmann Equation for Moving Particles (time continuous, No Scatter Assumption) ⁿⁱ; specialized by ^op Particle Movement on a Line ⁿⁱ; specialized by ^op Particle Movement on a Line (No Attenuation) ⁿⁱ; specialized by ^op Boltzmann Equation for Moving Particles (time continuous) ⁿⁱ; specializes ^op Boltzmann Equation ⁿⁱ; specializes ^op Transport Equation ⁿⁱ; defining formulation ^dp "$c\,u_t (x, \theta, t) + \theta \cdot \nabla u (x, \theta, t) = - \mu (x) \, u (x,\theta,t) + s(x) \, \int_{S^{n-1}} u (x, \theta', t) \, \sigma(\theta,\theta') \, d\theta'$"^^La Te X ^ep; in defining formulation ^dp "$\mu$, Attenuation Coefficient"^^La Te X ^ep; in defining formulation ^dp "$\sigma$, Scattering Cross Section"^^La Te X ^ep; in defining formulation ^dp "$\theta$, Normal Vector"^^La Te X ^ep; in defining formulation ^dp "$c$, Particle Velocity"^^La Te X ^ep; in defining formulation ^dp "$s$, Scattering Coefficient"^^La Te X ^ep; in defining formulation ^dp "$t$, Time"^^La Te X ^ep; in defining formulation ^dp "$u$, Density"^^La Te X ^ep

Boltzmann Equation for Moving Particles (time continuous)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#BoltzmannEquationMovingParticlesTimeContinuous)

special version of the Boltzmann equation for moving particles, time continuous

belongs to: Mathematical Formulation ^c
has facts: contains ^op Attenuation Coefficient ⁿⁱ; contains ^op Density ⁿⁱ; contains ^op Normal Vector ⁿⁱ; contains ^op Scattering Coefficient ⁿⁱ; contains ^op Scattering Cross Section ⁿⁱ; specialized by ^op Boltzmann Equation for Moving Particles (time continuous, No Scatter Assumption) ⁿⁱ; specialized by ^op Particle Movement on a Line ⁿⁱ; specialized by ^op Particle Movement on a Line (No Attenuation) ⁿⁱ; specializes ^op Boltzmann Equation ⁿⁱ; specializes ^op Boltzmann Equation for Moving Particles ⁿⁱ; specializes ^op Transport Equation ⁿⁱ; defining formulation ^dp "$ \theta \cdot \nabla u (x, \theta) = - \mu (x) \, u (x,\theta) + s(x) \, \int_{S^{n-1}} u (x, \theta') \, \sigma(\theta,\theta') \, d\theta'$"^^La Te X ^ep; in defining formulation ^dp "$\mu$, Attenuation Coefficient"^^La Te X ^ep; in defining formulation ^dp "$\sigma$, Scattering Cross Section"^^La Te X ^ep; in defining formulation ^dp "$\theta$, Normal Vector"^^La Te X ^ep; in defining formulation ^dp "$s$, Scattering Coefficient"^^La Te X ^ep; in defining formulation ^dp "$u$, Density"^^La Te X ^ep

Boltzmann Equation for Moving Particles (time continuous, No Scatter Assumption)ⁿⁱ back to ToC or Named Individual ToC

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

special version of the Boltzmann equation for moving particles, time continuous, no scattering

belongs to: Mathematical Formulation ^c
has facts: contains ^op Attenuation Coefficient ⁿⁱ; contains ^op Density ⁿⁱ; contains ^op Normal Vector ⁿⁱ; specialized by ^op Particle Movement on a Line ⁿⁱ; specialized by ^op Particle Movement on a Line (No Attenuation) ⁿⁱ; specializes ^op Boltzmann Equation ⁿⁱ; specializes ^op Boltzmann Equation for Moving Particles ⁿⁱ; specializes ^op Transport Equation ⁿⁱ; specializes ^op Boltzmann Equation for Moving Particles (time continuous) ⁿⁱ; defining formulation ^dp "$ \theta \cdot \nabla u (x, \theta) = - \mu (x) \, u (x,\theta)$"^^La Te X ^ep; in defining formulation ^dp "$\mu$, Attenuation Coefficient"^^La Te X ^ep; in defining formulation ^dp "$\theta$, Normal Vector"^^La Te X ^ep; in defining formulation ^dp "$u$, Density"^^La Te X ^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#BoundaryConditionsforElectrophysiologicalMuscleODESystem

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

Buzug (2008) Computed Tomograhyⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Buzug_2008_Computed_Tompgraphy

publication

belongs to: Publication ^c
has facts: describes ^op Computerized Tomography (With Scatter) ⁿⁱ; describes survey of ^op Computerized Tomography (With Scatter) ⁿⁱ; DOI ^ap 978 3 540 39408 2 ^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; specializes ^op Position Of A Particle 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 "For example 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; MaRDI ID ^ap Item: Q6684702 ^ep; 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

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 Dynamics Modelⁿⁱ back to ToC or Named Individual ToC

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

mathematical model of a system of point masses, subject to forces deriving from some potential energy function

belongs to: Mathematical Model ^c
has facts: assumes ^op Classical Approximation ⁿⁱ; contained in ^op Quantum-Classical Model ⁿⁱ; contains ^op Classical Hamilton Equations ⁿⁱ; contains ^op Classical Liouville Equation ⁿⁱ; contains ^op Classical Newton Equation ⁿⁱ; contains ^op Initial Classical Density ⁿⁱ; contains ^op Initial Classical Momentum ⁿⁱ; contains ^op Initial Classical Position ⁿⁱ; contains initial condition ^op Initial Classical Density ⁿⁱ; contains initial condition ^op Initial Classical Momentum ⁿⁱ; contains initial condition ^op Initial Classical Position ⁿⁱ; models ^op Molecular Dynamics ⁿⁱ; models ^op Molecular Reaction Dynamics ⁿⁱ; models ^op Molecular Spectroscopy (Transient) ⁿⁱ; models ^op Molecular Spectrosopy (Stationary) ⁿⁱ; specializes ^op Quantum Model (Closed System) ⁿⁱ; specializes ^op Quantum Model (Open System) ⁿⁱ; used by ^op Classical Time Evolution ⁿⁱ; is space-continuous ^dp "true"^^boolean; is time-continuous ^dp "true"^^boolean; MaRDI ID ^ap Item: Q6675381 ^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

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

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; specialized by ^op Heavy Particle 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; specialized by ^op Heavy Particle 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 Momentumⁿⁱ back to ToC or Named Individual ToC

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

momentum of a point particle in classical mechanics

belongs to: Quantity ^c
has facts: contained as input in ^op Classical Time Evolution ⁿⁱ; contained as output in ^op Classical Time Evolution ⁿⁱ; contained in ^op Classical Hamilton Equations ⁿⁱ; contained in ^op Classical Hamilton Equations (Leap Frog) ⁿⁱ; contained in ^op Classical Liouville Equation ⁿⁱ; contained in ^op Classical Momentum ⁿⁱ; contained in ^op Classical Time Evolution ⁿⁱ; contained in ^op Initial Classical Momentum ⁿⁱ; contained in ^op Nonrelativistic Approximation ⁿⁱ; contained in ^op de Broglie Wavelength ⁿⁱ; contains ^op Classical Momentum ⁿⁱ; contains ^op Classical Velocity ⁿⁱ; contains ^op Mass ⁿⁱ; specializes ^op Momentum ⁿⁱ; defining formulation ^dp "$p \equiv mv$"^^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 "$v$, Classical Velocity"^^La Te X ^ep; MaRDI ID ^ap Item: Q6673871 ^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; 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; specialized by ^op Heavy Particle Newton Equation 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

Classical Positionⁿⁱ back to ToC or Named Individual ToC

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

position of a point particle in classical mechanics

belongs to: Quantity ^c
has facts: contained as input in ^op Classical Time Evolution ⁿⁱ; contained as output in ^op Classical Time Evolution 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 Classical Time Evolution ⁿⁱ; contained in ^op Initial Classical Position ⁿⁱ; contained in ^op Solar System Equations of Motion ⁿⁱ; specializes ^op Length ⁿⁱ; MaRDI ID ^ap Item: Q6673863 ^ep

Classical Time Evolutionⁿⁱ back to ToC or Named Individual ToC

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

given initial positions and momenta of the particles in a classical mechanics system, the task is to predict these positions and momenta at later time

belongs to: Computational Task ^c
has facts: contains ^op Classical Brownian Equation ⁿⁱ; contains ^op Classical Fokker Planck Equation ⁿⁱ; contains ^op Classical Force ⁿⁱ; contains ^op Classical Hamilton Equations ⁿⁱ; contains ^op Classical Langevin Equation ⁿⁱ; contains ^op Classical Liouville Equation ⁿⁱ; contains ^op Classical Momentum ⁿⁱ; contains ^op Classical Newton Equation ⁿⁱ; contains ^op Classical Position ⁿⁱ; contains ^op Classical Velocity ⁿⁱ; contains input ^op Classical Momentum ⁿⁱ; contains input ^op Classical Position ⁿⁱ; contains input ^op Classical Velocity ⁿⁱ; contains output ^op Classical Momentum ⁿⁱ; contains output ^op Classical Position ⁿⁱ; contains output ^op Classical Velocity ⁿⁱ; contains parameter ^op Classical Force ⁿⁱ; similar to ^op Classical Time Evolution ⁿⁱ; similar to ^op Heavy Particle Propagation ⁿⁱ; specialized by ^op Heavy Particle Propagation ⁿⁱ; uses ^op Classical Brownian Model ⁿⁱ; uses ^op Classical Dynamics Model ⁿⁱ; uses ^op Classical Fokker Planck Model ⁿⁱ; uses ^op Classical Langevin Model ⁿⁱ; MaRDI ID ^ap Item: Q6684559 ^ep

Classical Velocityⁿⁱ back to ToC or Named Individual ToC

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

velocity of a point particle in classical mechanics

belongs to: Quantity ^c
has facts: contained as input in ^op Classical Time Evolution ⁿⁱ; contained as output in ^op Classical Time Evolution ⁿⁱ; contained in ^op Classical Momentum ⁿⁱ; contained in ^op Classical Time Evolution ⁿⁱ; contained in ^op Initial Classical Velocity ⁿⁱ; contained in ^op Lorentz Force Equation (Non-Relativistic) ⁿⁱ; contained in ^op Lorentz Force Equation (Relativistic) ⁿⁱ; contained in ^op Relativistic Momentum ⁿⁱ; specialized by ^op Free Fall Impact Velocity ⁿⁱ; specialized by ^op Free Fall Initial Velocity ⁿⁱ; specialized by ^op Free Fall Terminal Velocity ⁿⁱ; specialized by ^op Free Fall Velocity ⁿⁱ; specialized by ^op Heavy Particle Velocity ⁿⁱ; specializes ^op Velocity ⁿⁱ; MaRDI ID ^ap Item: Q6673873 ^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

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

Coefficient Simulation Behavior Prediction Globalⁿⁱ back to ToC or Named Individual ToC

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

coefficient of the a global prediction model for simulation behavior prediction

belongs to: Quantity ^c
has facts: contained in ^op Simulation Behavior Prediction Global Formulation ⁿⁱ; specializes ^op Random Variable ⁿⁱ; specializes ^op Real Number (Dimensionless) ⁿⁱ

Compartment Length Ratioⁿⁱ back to ToC or Named Individual ToC

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

ratio of compartment lengths

belongs to: Quantity ^c
has facts: contained in ^op Generalized Compartment Reaction ⁿⁱ; defining formulation ^dp "$\gamma :\equiv K_{B}/K_{A} \equiv h_{A}/h_{B} \gt 1$"^^La Te X ^ep

Compartment Sizeⁿⁱ back to ToC or Named Individual ToC

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

domain is divided into K compartments of size h

belongs to: Quantity ^c
has facts: contained in ^op A Produced In First Compartment ⁿⁱ; specializes ^op Length ⁿⁱ

Compartment Size For Aⁿⁱ back to ToC or Named Individual ToC

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

Compartment Size For species A

belongs to: Quantity ^c
has facts: contained in ^op Generalized Poisson Distribution ⁿⁱ; defining formulation ^dp "$h_{A} \equiv L/K_{A}$"^^La Te X ^ep

Compartment Size For Bⁿⁱ back to ToC or Named Individual ToC

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

Compartment Size For A

belongs to: Quantity ^c
has facts: contained in ^op Generalized Poisson Distribution ⁿⁱ; defining formulation ^dp "$h_{B} \equiv L/K_{B}$"^^La Te X ^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"

Compute Predicitive Distributionⁿⁱ back to ToC or Named Individual ToC

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

compute the predictive distribution

belongs to: Computational Task ^c

Computerized Tomography (No Scatter)ⁿⁱ back to ToC or Named Individual ToC

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

computerized tomography with no scatter assumption

belongs to: Mathematical Model ^c
has facts: contains ^op CT Measurement Equation (No Scatter) ⁿⁱ; described as surveyed by ^op Kack (2001) Principles of Computerized Tomographic Imaging ⁿⁱ; described by ^op Kack (2001) Principles of Computerized Tomographic Imaging ⁿⁱ

Computerized Tomography (With Scatter)ⁿⁱ back to ToC or Named Individual ToC

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

computerized tomography with scatter assumption

belongs to: Mathematical Model ^c
has facts: described as surveyed by ^op Buzug (2008) Computed Tomograhy ⁿⁱ; described by ^op Buzug (2008) Computed Tomograhy ⁿⁱ

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 ^ep; Wikidata ID ^ap Q3686031 ^ep

Concentration Of Particlesⁿⁱ back to ToC or Named Individual ToC

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

concentration of particles for a given position and time

belongs to: Quantity ^c
has facts: contained in ^op Convolution Between Interaction Force And Density Formulation ⁿⁱ; contained in ^op Evolution Of The Concentration Of Particles PDE ⁿⁱ; contained in ^op Evolution Of The Concentration Of Particles SPDE ⁿⁱ

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

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

positive solution constraint

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

positive solution constraint

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

positive solution constraint

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

positive solution constraint

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

positive solution constraint

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

positive solution constraint

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

positive solution constraint

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

positive solution constraint

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 𝑆ₙ, 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; specializes ^op Position Of A Particle 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

Contact Rate Between Two Groupsⁿⁱ back to ToC or Named Individual ToC

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

average number of contacts per unit time of an infective in a group with individuals in another group

belongs to: Quantity ^c
has facts: 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 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 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; MaRDI ID ^ap Item: Q6673877 ^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

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; description ^ap "Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system."@en; 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

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; description ^ap "Used within the Scharfetter-Gummel finite volume disretization scheme which is the standard numerical method for solving the van Roosbroeck system."@en; MaRDI ID ^ap Item: Q6674287 ^ep

Continuity Of Densities Conditionⁿⁱ back to ToC or Named Individual ToC

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

continuity of densities across the interface $\Gamma$ in the Hybrid ODE-PDE Model

belongs to: Mathematical Formulation ^c
has facts: contained as initial condition in ^op Hybrid PDE ODE SEIR Model ⁿⁱ; contained in ^op Hybrid PDE ODE SEIR Model ⁿⁱ; contains ^op Fraction Of Population Density Of Exposed In The ODE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Exposed In The PDE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Infectious In The ODE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Infectious In The PDE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Removed In The ODE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Removed In The PDE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Susceptibles In The ODE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Susceptibles In The PDE Region ⁿⁱ; defining formulation ^dp "$\begin{aligned} &s_1=s_2 \\ &e_1=e_2 \\ &i_1=i_2 \\ &r_1=r_2 \\ \end{aligned}$"^^La Te X ^ep; in defining formulation ^dp "$e_1$, Fraction Of Population Density Of Exposed In The PDE Region"^^La Te X ^ep; in defining formulation ^dp "$e_2$, Fraction Of Population Density Of Exposed In The ODE Region"^^La Te X ^ep; in defining formulation ^dp "$i_1$, Fraction Of Population Density Of Infectious In The PDE Region"^^La Te X ^ep; in defining formulation ^dp "$i_2$, Fraction Of Population Density Of Infectious In The ODE Region"^^La Te X ^ep; in defining formulation ^dp "$r_1$, Fraction Of Population Density Of Removed In The PDE Region"^^La Te X ^ep; in defining formulation ^dp "$r_2$, Fraction Of Population Density Of Removed In The ODE Region"^^La Te X ^ep; in defining formulation ^dp "$s_1$, Fraction Of Population Density Of Susceptibles In The PDE Region"^^La Te X ^ep; in defining formulation ^dp "$s_2$, Fraction Of Population Density Of Susceptibles In The ODE Region"^^La Te X ^ep

Continuity Of Fluxes Conditionⁿⁱ back to ToC or Named Individual ToC

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

continuity of fluxes across the interface $\Gamma$ in the hybrid ODE-PDE model

belongs to: Mathematical Formulation ^c
has facts: contained as initial condition in ^op Hybrid PDE ODE SEIR Model ⁿⁱ; contained in ^op Hybrid PDE ODE SEIR Model ⁿⁱ; contains ^op Diffusion Coefficient ⁿⁱ; contains ^op Fraction Of Population Density Of Exposed In The PDE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Infectious In The PDE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Removed In The PDE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Susceptibles In The PDE Region ⁿⁱ; contains ^op Unit Normal Vector ⁿⁱ; defining formulation ^dp "$\nu_1^T D \nabla s_1=\nu_1^T D \nabla e_1=\nu_1^T D \nabla i_1=\nu_1^T D \nabla r_1=0$"^^La Te X ^ep; in defining formulation ^dp "$D$, Diffusion Coefficient"^^La Te X ^ep; in defining formulation ^dp "$\nu_1$, Unit Normal Vector"^^La Te X ^ep; in defining formulation ^dp "$e_1$, Fraction Of Population Density Of Exposed In The PDE Region"^^La Te X ^ep; in defining formulation ^dp "$i_1$, Fraction Of Population Density Of Infectious In The PDE Region"^^La Te X ^ep; in defining formulation ^dp "$r_1$, Fraction Of Population Density Of Removed In The PDE Region"^^La Te X ^ep; in defining formulation ^dp "$s_1$, Fraction Of Population Density Of Susceptibles In The PDE Region"^^La Te X ^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 Modelⁿⁱ back to ToC or Named Individual ToC

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

continuous-time model for the spreading of infectious diseases considering susceptible and infectious individuals

belongs to: Mathematical Model ^c
has facts: contains ^op Continuous Rate of Change of Infectious in the SI Model ⁿⁱ; contains ^op Continuous Rate of Change of Susceptibles in the SI 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 Model ⁿⁱ; models ^op Spreading of Infectious Diseases ⁿⁱ; is deterministic ^dp "true"^^boolean; is time-continuous ^dp "true"^^boolean; MaRDI ID ^ap Item: Q6675167 ^ep

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

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

continuous-time model for the spreading of infectious diseases considering susceptible, infectious and recovered/removed individuals

belongs to: Mathematical Model ^c
has facts: contains ^op Continuous Rate of Change of Infectious in the SIR Model ⁿⁱ; contains ^op Continuous Rate of Change of Removed in the SIR Model ⁿⁱ; contains ^op Continuous Rate of Change of Susceptibles in the SIR Model ⁿⁱ; contains ^op Initial Condition for the Continuous SIR Model ⁿⁱ; contains initial condition ^op Initial Condition for the Continuous SIR 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 Removed Model ⁿⁱ; models ^op Spreading of Infectious Diseases ⁿⁱ; is deterministic ^dp "true"^^boolean; is time-continuous ^dp "true"^^boolean; MaRDI ID ^ap Item: Q6675169 ^ep; Wikidata ID ^ap "https://www.wikidata.org/wiki/Q2206263"

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 Inputⁿⁱ back to ToC or Named Individual ToC

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

input to a control system

belongs to: Quantity ^c
has facts: contained as input in ^op Control System Time Evolution (Bi-linear) ⁿⁱ; contained as input in ^op Control System Time Evolution (Linear) ⁿⁱ; contained as output in ^op Optimal Control ⁿⁱ; contained in ^op Classical Fokker Planck Equation 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 Time Evolution (Bi-linear) ⁿⁱ; contained in ^op Control System Time Evolution (Linear) ⁿⁱ; contained in ^op Optimal Control 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 Forward ⁿⁱ; contained in ^op Optimal Control Target ⁿⁱ; contained in ^op Optimal Control Update ⁿⁱ; MaRDI ID ^ap Item: Q6673868 ^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 Bⁿⁱ back to ToC or Named Individual ToC

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

inhomogeneous 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 B (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 Matrix Controllability ⁿⁱ; contained in ^op Lyapunov Equation Controllability ⁿⁱ; contained in ^op Lyapunov Generalized Controllability ⁿⁱ; contained in ^op Optimal Control Backward ⁿⁱ; contained in ^op Optimal Control Forward ⁿⁱ; contained in ^op Sylvester Equation Controllability ⁿⁱ; MaRDI ID ^ap Item: Q6673772 ^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 Cⁿⁱ back to ToC or Named Individual ToC

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

linear part of output 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 Matrix C (Reduced) ⁿⁱ; contained in ^op Control System Output Linear 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 Observability ⁿⁱ; contained in ^op Gramian Matrix Observability ⁿⁱ; contained in ^op Lyapunov Equation Observability ⁿⁱ; contained in ^op Lyapunov Generalized Observability ⁿⁱ; contained in ^op Sylvester Equation Observability ⁿⁱ; MaRDI ID ^ap Item: Q6673773 ^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 Nⁿⁱ back to ToC or Named Individual ToC

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

bilinear part of input equation for control systems

belongs to: Quantity ^c
has facts: contained as input in ^op Balanced Truncation (Bi-linear) ⁿⁱ; contained as parameter in ^op Control System Time Evolution (Bi-linear) ⁿⁱ; contained in ^op Balanced Truncation (Bi-linear) ⁿⁱ; contained in ^op Control System Input Bilinear ⁿⁱ; contained in ^op Control System Matrix N (Reduced) ⁿⁱ; contained in ^op Control System Time Evolution (Bi-linear) ⁿⁱ; contained in ^op Gramian Generalized Controllability ⁿⁱ; contained in ^op Gramian Generalized 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 Optimal Control Update ⁿⁱ; MaRDI ID ^ap Item: Q6673774 ^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 Model (Bilinear)ⁿⁱ back to ToC or Named Individual ToC

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

control system with bi-linear input equation

belongs to: Mathematical Model ^c
has facts: contains ^op Control System Input Bilinear ⁿⁱ; contains ^op Control System Output Linear ⁿⁱ; contains ^op Control System Output Quadratic ⁿⁱ; contains ^op Initial Control State ⁿⁱ; contains initial condition ^op Initial Control State ⁿⁱ; models ^op Molecular Spectroscopy (Transient) ⁿⁱ; models ^op Spin Qbit Shuttling ⁿⁱ; specialized by ^op Control System Model (Linear) ⁿⁱ; specialized by ^op Electron Shuttling Model ⁿⁱ; specializes ^op Control System Model ⁿⁱ; used by ^op Balanced Truncation (Bi-linear) ⁿⁱ; used by ^op Control System Time Evolution (Bi-linear) ⁿⁱ; used by ^op H2 Optimal Approximation (Bi-linear) ⁿⁱ; used by ^op Optimal Control ⁿⁱ; MaRDI ID ^ap Item: Q6675332 ^ep

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

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

control system with linear input equation

belongs to: Mathematical Model ^c
has facts: contains ^op Control System Input Linear ⁿⁱ; contains ^op Control System Output Linear ⁿⁱ; contains ^op Control System Output Quadratic ⁿⁱ; contains ^op Initial Control State ⁿⁱ; contains initial condition ^op Initial Control State ⁿⁱ; specializes ^op Control System Model ⁿⁱ; specializes ^op Control System Model (Bilinear) ⁿⁱ; used by ^op Balanced Truncation (Linear) ⁿⁱ; used by ^op Control System Time Evolution (Linear) ⁿⁱ; used by ^op H2 Optimal Approximation (Linear) ⁿⁱ; MaRDI ID ^ap Item: Q6675333 ^ep

Control System Outputⁿⁱ back to ToC or Named Individual ToC

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

output from a control system

belongs to: Quantity ^c
has facts: contained as output in ^op Control System Time Evolution (Bi-linear) ⁿⁱ; contained as output in ^op Control System Time Evolution (Linear) 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 Control System Time Evolution (Bi-linear) ⁿⁱ; contained in ^op Control System Time Evolution (Linear) ⁿⁱ; MaRDI ID ^ap Item: Q6673903 ^ep

Control System Output Linearⁿⁱ back to ToC or Named Individual ToC

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

linear output equation for control systems

belongs to: Mathematical Formulation ^c
has facts: approximated by ^op Control System Output Linear (Reduced) ⁿⁱ; contained in ^op Balanced Truncation (Bi-linear) ⁿⁱ; contained in ^op Balanced Truncation (Linear) 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; contains ^op Control System Matrix C ⁿⁱ; contains ^op Control System Output ⁿⁱ; contains ^op Control System State ⁿⁱ; contains ^op Time ⁿⁱ; defining formulation ^dp "$y(t)=Cx(t)$"^^La Te X ^ep; in defining formulation ^dp "$C$, Control System Matrix C"^^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: Q6674150 ^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 Stateⁿⁱ back to ToC or Named Individual ToC

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

state vector of a dynamical system for control systems

belongs to: Quantity ^c
has facts: contained in ^op Control System Input Bilinear ⁿⁱ; contained in ^op Control System Input Linear ⁿⁱ; contained in ^op Control System Output Linear ⁿⁱ; contained in ^op Control System Output Quadratic ⁿⁱ; contained in ^op Control System State (Reduced) ⁿⁱ; contained in ^op Initial Control State ⁿⁱ; contained in ^op Optimal Control Constraint 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 Target ⁿⁱ; contained in ^op Optimal Control Update ⁿⁱ; specializes ^op State Vector ⁿⁱ; MaRDI ID ^ap Item: Q6673898 ^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 Light Particle Propagation ⁿⁱ; specialized by ^op Quantum Time Evolution ⁿⁱ; uses ^op Control System Model ⁿⁱ; MaRDI ID ^ap Item: Q6684560 ^ep

Control System Time Evolution (Bi-linear)ⁿⁱ back to ToC or Named Individual ToC

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

computing the time evolution of a control system with bi-linear input equation

belongs to: Computational Task ^c
has facts: contains ^op Control System Input ⁿⁱ; contains ^op Control System Input Bilinear ⁿⁱ; contains ^op Control System Matrix A ⁿⁱ; contains ^op Control System Matrix B ⁿⁱ; contains ^op Control System Matrix C ⁿⁱ; contains ^op Control System Matrix N ⁿⁱ; contains ^op Control System Output ⁿⁱ; contains ^op Control System Output Linear ⁿⁱ; contains ^op Initial Control State ⁿⁱ; contains initial condition ^op Initial Control State ⁿⁱ; contains input ^op Control System Input ⁿⁱ; contains output ^op Control System Output ⁿⁱ; contains parameter ^op Control System Matrix A ⁿⁱ; contains parameter ^op Control System Matrix B ⁿⁱ; contains parameter ^op Control System Matrix C ⁿⁱ; contains parameter ^op Control System Matrix N ⁿⁱ; specialized by ^op Control System Time Evolution (Linear) ⁿⁱ; specialized by ^op Light Particle Propagation ⁿⁱ; specialized by ^op Quantum Time Evolution ⁿⁱ; specializes ^op Control System Time Evolution ⁿⁱ; uses ^op Control System Model (Bilinear) ⁿⁱ; MaRDI ID ^ap Item: Q6684561 ^ep

Control System Time Evolution (Linear)ⁿⁱ back to ToC or Named Individual ToC

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

computing the time evolution of a control system with linear input equation

belongs to: Computational Task ^c
has facts: contains ^op Control System Input ⁿⁱ; contains ^op Control System Input Linear ⁿⁱ; contains ^op Control System Matrix A ⁿⁱ; contains ^op Control System Matrix B ⁿⁱ; contains ^op Control System Matrix C ⁿⁱ; contains ^op Control System Output ⁿⁱ; contains ^op Control System Output Linear ⁿⁱ; contains ^op Initial Control State ⁿⁱ; contains initial condition ^op Initial Control State ⁿⁱ; contains input ^op Control System Input ⁿⁱ; contains output ^op Control System Output ⁿⁱ; contains parameter ^op Control System Matrix A ⁿⁱ; contains parameter ^op Control System Matrix B ⁿⁱ; contains parameter ^op Control System Matrix C ⁿⁱ; specializes ^op Control System Time Evolution ⁿⁱ; specializes ^op Control System Time Evolution (Bi-linear) ⁿⁱ; uses ^op Control System Model (Linear) ⁿⁱ; MaRDI ID ^ap Item: Q6684562 ^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

Convolution Between Interaction Force And Densityⁿⁱ back to ToC or Named Individual ToC

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

Convolution Between Interaction Force And Density

belongs to: Quantity ^c
has facts: contained in ^op Convolution Between Interaction Force And Density Formulation ⁿⁱ; contained in ^op Evolution Of The Concentration Of Particles PDE ⁿⁱ; contained in ^op Evolution Of The Concentration Of Particles SPDE ⁿⁱ

Convolution Between Interaction Force And Density Formulationⁿⁱ back to ToC or Named Individual ToC

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

Convolution Between Interaction Force And Density

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Mean-Field PDE Model ⁿⁱ; contains ^op Concentration Of Particles ⁿⁱ; contains ^op Convolution Between Interaction Force And Density ⁿⁱ; contains ^op Interaction Force ⁿⁱ; contains ^op Time ⁿⁱ; defining formulation ^dp "$\left(F^{\prime} * c(\cdot, t)\right)(x):=\int_{\mathbb{T}} F^{\prime}(x-y) c(y, t) d y$"^^La Te X ^ep; in defining formulation ^dp "$(F^{\prime} * c(\cdot, t))$, Convolution Between Interaction Force And Density"^^La Te X ^ep; in defining formulation ^dp "$F'$, Interaction Force"^^La Te X ^ep; in defining formulation ^dp "$c$, Concentration Of Particles"^^La Te X ^ep; in defining formulation ^dp "$t$, Time"^^La Te X ^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; MaRDI ID ^ap Item: Q6674302 ^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

Covarianceⁿⁱ back to ToC or Named Individual ToC

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

measure of the joint variability of two random variables

belongs to: Quantity Kind ^c
has facts: similar to ^op Covariance ⁿⁱ; similar to ^op Covariance Function ⁿⁱ; Wikidata ID ^ap Q201984 ^ep

Covariance Functionⁿⁱ back to ToC or Named Individual ToC

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

function in probability theory

belongs to: Quantity Kind ^c
has facts: contained in ^op Simulation Behavior Prediction Local Formulation ⁿⁱ; similar to ^op Covariance ⁿⁱ; similar to ^op Covariance Function ⁿⁱ; Wikidata ID ^ap Q5178897 ^ep

Creeping Flow Assumptionⁿⁱ back to ToC or Named Individual ToC

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

fluid flow where advective inertial forces are small compared with viscous forces

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; specialized by ^op Scattering Cross Section 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; QUDT ID ^ap Cross Section ^ep; Wikidata ID ^ap Q845080 ^ep

CT Measurement Equation (No Scatter)ⁿⁱ back to ToC or Named Individual ToC

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

computer tomography measurement equation neglecting scattering

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Computerized Tomography (No Scatter) ⁿⁱ; contains ^op Attenuation Coefficient ⁿⁱ; contains ^op Normal Vector ⁿⁱ; contains ^op Poisson Distribution ⁿⁱ; contains ^op Radiant Intensity ⁿⁱ; defining formulation ^dp "$g(\theta, s) = I_0 e^{-\int_{x \cdot \theta = s} \mu (s) \,ds}$"^^La Te X ^ep; in defining formulation ^dp "$I_0$, Radiant Intensity"^^La Te X ^ep; in defining formulation ^dp "$\mu$, Attenuation Coefficient"^^La Te X ^ep; in defining formulation ^dp "$\theta$, Normal Vector"^^La Te X ^ep; in defining formulation ^dp "$g$, Poisson Distribution"^^La Te X ^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 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

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

Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Partⁿⁱ back to ToC or Named Individual ToC

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

decomposition into spatially constant mean and fluctuating part

belongs to: Mathematical Formulation ^c
has facts: assumes ^op Fluctuating Parts Of Population Density Fractions Approximately Zero ⁿⁱ; contained in ^op ODE SEIR Model ⁿⁱ; contains ^op Fraction Of Population Density Of Exposed In The ODE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Exposed In The ODE Region (Fluctuating Part) ⁿⁱ; contains ^op Fraction Of Population Density Of Exposed In The ODE Region (Mean) ⁿⁱ; contains ^op Fraction Of Population Density Of Infectious In The ODE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Infectious In The ODE Region (Fluctuating Part) ⁿⁱ; contains ^op Fraction Of Population Density Of Infectious In The ODE Region (Mean) ⁿⁱ; contains ^op Fraction Of Population Density Of Removed In The ODE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Removed In The ODE Region (Fluctuating Part) ⁿⁱ; contains ^op Fraction Of Population Density Of Removed In The ODE Region (Mean) ⁿⁱ; contains ^op Fraction Of Population Density Of Susceptibles In The ODE Region ⁿⁱ; contains ^op Fraction Of Population Density Of Susceptibles In The ODE Region (Fluctuating Part) ⁿⁱ; contains ^op Fraction Of Population Density Of Susceptibles In The ODE Region (Mean) ⁿⁱ; defining formulation ^dp "$\begin{aligned} & s_2 = \bar{s_2} + \Tilde{s_2} \\ & e_2 = \bar{e_2} + \Tilde{e_2} \\ & i_2 = \bar{i_2} + \Tilde{i_2} \\ & r_2 = \bar{r_2} + \Tilde{r_2} \end{aligned}$"^^La Te X ^ep; in defining formulation ^dp "$\Tilde{e_2}$, Fraction Of Population Density Of Exposed In The ODE Region (Fluctuating Part)"^^La Te X ^ep; in defining formulation ^dp "$\Tilde{i_2}$, Fraction Of Population Density Of Infectious In The ODE Region (Fluctuating Part)"^^La Te X ^ep; in defining formulation ^dp "$\Tilde{r_2}$, Fraction Of Population Density Of Removed In The ODE Region (Fluctuating Part)"^^La Te X ^ep; in defining formulation ^dp "$\Tilde{s_2}$, Fraction Of Population Density Of Susceptibles In The ODE Region (Fluctuating Part)"^^La Te X ^ep; in defining formulation ^dp "$\bar{e_2}$, Fraction Of Population Density Of Exposed In The ODE Region (Mean)"^^La Te X ^ep; in defining formulation ^dp "$\bar{i_2}$, Fraction Of Population Density Of Infectious In The ODE Region (Mean)"^^La Te X ^ep; in defining formulation ^dp "$\bar{r_2}$, Fraction Of Population Density Of Removed In The ODE Region (Mean)"^^La Te X ^ep; in defining formulation ^dp "$\bar{s_2}$, Fraction Of Population Density Of Susceptibles In The ODE Region (Mean)"^^La Te X ^ep; in defining formulation ^dp "$e_2$, Fraction Of Population Density Of Exposed In The ODE Region"^^La Te X ^ep; in defining formulation ^dp "$i_2$, Fraction Of Population Density Of Infectious In The ODE Region"^^La Te X ^ep; in defining formulation ^dp "$r_2$, Fraction Of Population Density Of Removed In The ODE Region"^^La Te X ^ep; in defining formulation ^dp "$s_2$, Fraction Of Population Density Of Susceptibles In The ODE Region"^^La Te X ^ep; description ^ap "Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part with mean zero."@en

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: contained in ^op Boltzmann Equation for Moving Particles ⁿⁱ; contained in ^op Boltzmann Equation for Moving Particles (time continuous, No Scatter Assumption) ⁿⁱ; contained in ^op Transport Equation ⁿⁱ; contained in ^op Boltzmann Equation for Moving Particles (time continuous) ⁿⁱ; 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 Continuity Of Fluxes Condition ⁿⁱ; contained in ^op Evolution Of The Concentration Of Particles PDE ⁿⁱ; contained in ^op Evolution Of The Concentration Of Particles SPDE ⁿⁱ; contained in ^op Evolution Of The Position Of A Particle SDE ⁿⁱ; contained in ^op Fick Equation ⁿⁱ; contained in ^op Homogeneous Neumann Boundary Conditions ⁿⁱ; contained in ^op Zero Flux Condition 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 Aⁿⁱ back to ToC or Named Individual ToC

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

coefficient of diffusion for the for the chain reaction of chemical species A

belongs to: Quantity ^c
has facts: contained in ^op Generalized Steady State Equations ⁿⁱ; contained in ^op Steady State Equations ⁿⁱ

Diffusion Coefficient Bⁿⁱ back to ToC or Named Individual ToC

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

coefficient of diffusion for the for the chain reaction of chemical species B

belongs to: Quantity ^c
has facts: contained in ^op Generalized Steady State Equations ⁿⁱ; contained in ^op Steady State Equations ⁿⁱ

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 Mean ODE 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 Mean ODE 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 Mean ODE 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 Mean ODE 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

Diffusion Operatorⁿⁱ back to ToC or Named Individual ToC

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

diffusion operator used in the reaction diffusion master equation

belongs to: Quantity ^c
has facts: contained in ^op Reaction Diffusion Master Equation ⁿⁱ; contained in ^op Stationary Multi Grid Reaction Diffusion Master Equation ⁿⁱ; contained in ^op Stationary Reaction-Diffusion Master Equation ⁿⁱ; contains ^op Operators Oi Minus ⁿⁱ; contains ^op Operators Oi Plus ⁿⁱ; specializes ^op Generalized Diffusion Operator ⁿⁱ; defining formulation ^dp "\begin{aligned} \mathcal{D} f(\mathbf{n}, \mathbf{m}): \equiv & \frac{D_A}{h^2} \sum_{i=1}^{K-1}\left\{\left(n_i+1\right) f\left(\mathcal{O}_i^{+} \mathcal{O}_{i+1}^{-} \mathbf{n}, \mathbf{m}\right)-n_i f(\mathbf{n}, \mathbf{m})\right\} \\ & +\frac{D_A}{h^2} \sum_{i=2}^K\left\{\left(n_i+1\right) f\left(\mathcal{O}_i^{+} \mathcal{O}_{i-1}^{-} \mathbf{n}, \mathbf{m}\right)-n_i f(\mathbf{n}, \mathbf{m})\right\} \\ & +\frac{D_B}{h^2} \sum_{i=1}^{K-1}\left\{\left(m_i+1\right) f\left(\mathbf{n}, \mathcal{O}_i^{+} \mathcal{O}_{i+1}^{-} \mathbf{m}\right)-m_i f(\mathbf{n}, \mathbf{m})\right\} \\ & +\frac{D_B}{h^2} \sum_{i=2}^K\left\{\left(m_i+1\right) f\left(\mathbf{n}, \mathcal{O}_i^{+} \mathcal{O}_{i-1}^{-} \mathbf{m}\right)-m_i f(\mathbf{n}, \mathbf{m})\right\}\\ $\mathcal{D}: L^1\left(\mathbb{N}^K \times \mathbb{N}^K\right) \rightarrow L^1\left(\mathbb{N}^K \times \mathbb{N}^K\right)$, where $L^1\left(\mathbb{N}^K \times \mathbb{N}^K\right):=\left\{f: \mathbb{N}^K \times \mathbb{N}^K \rightarrow \mathbb{R} \mid \sum_{\mathbf{n}, \mathbf{m}} f(\mathbf{n}, \mathbf{m})<\infty\right\}$ \end{aligned}"^^La Te X ^ep; in defining formulation ^dp "$\mathcal{O}_i^{+}$, Operators Oi Plus"^^La Te X ^ep; in defining formulation ^dp "$\mathcal{O}_i^{-}$, Operators Oi Minus"^^La Te X ^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; contained in ^op White Noise Distribution Assumption 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; MaRDI ID ^ap Item: Q6675395 ^ep; Wikidata ID ^ap Q902783 ^ep

Discrete Susceptible Infectious Modelⁿⁱ back to ToC or Named Individual ToC

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

discrete model for the spreading of infectious diseases considering susceptible and infectious individuals

belongs to: Mathematical Model ^c
has facts: contains ^op Condition to Keep Susceptibles Positive ⁿⁱ; contains ^op Constant Population Size ⁿⁱ; contains ^op Infectious at Time Step n+1 in the SI Model ⁿⁱ; contains ^op Initial Condition for the Discrete SI Model ⁿⁱ; contains ^op Susceptibles at Time Step n+1 in the Discrete SI Model ⁿⁱ; contains constraint condition ^op Condition to Keep Susceptibles Positive ⁿⁱ; contains constraint condition ^op Constant Population Size ⁿⁱ; contains initial condition ^op Initial Condition for the Discrete SI 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; discretizes ^op Continuous Susceptible Infectious Model ⁿⁱ; models ^op Spreading of Infectious Diseases ⁿⁱ; is deterministic ^dp "true"^^boolean; is time-continuous ^dp "false"^^boolean; MaRDI ID ^ap Item: Q6675231 ^ep

Discrete Susceptible Infectious Removed Modelⁿⁱ back to ToC or Named Individual ToC

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

discrete model for the spreading of infectious diseases considering susceptible, infectious and recovered/removed individuals

belongs to: Mathematical Model ^c
has facts: contains ^op Condition for Positive Solutions in the SIR Model ⁿⁱ; contains ^op Infectious at Time Step n+1 in the SIR Model ⁿⁱ; contains ^op Initial Condition for the Discrete SIR Model with and without Births and Deaths ⁿⁱ; contains ^op Removed at Time Step n+1 in the Discrete SIR Model ⁿⁱ; contains ^op Susceptibles at Time Step n+1 in the Discrete SIR Model ⁿⁱ; contains constraint condition ^op Condition for Positive Solutions in the SIR Model ⁿⁱ; contains initial condition ^op Initial Condition for the Discrete SIR Model with and without Births and Deaths 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; discretizes ^op Continuous Susceptible Infectious Removed Model ⁿⁱ; models ^op Spreading of Infectious Diseases ⁿⁱ; is deterministic ^dp "true"^^boolean; is time-continuous ^dp "false"^^boolean; MaRDI ID ^ap Item: Q6675263 ^ep

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

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

discrete-time model for the spreding of infectious diseases with temporary resistance considering susceptible and infectious individuals

belongs to: Mathematical Model ^c
has facts: contains ^op Condition for Positive Solutions in the SIS Model ⁿⁱ; contains ^op Initial Condition for the Continuous SI Model and SIS Model ⁿⁱ; contains ^op Second Condition for Positive Solutions in the SIS Model ⁿⁱ; contains ^op Susceptibles at Time Step n+1 in the Discrete SIS Model ⁿⁱ; contains ^op Infectious at Time Step n+1 in the SIS Model ⁿⁱ; contains constraint condition ^op Condition for Positive Solutions in the SIS Model ⁿⁱ; contains constraint condition ^op Second Condition for Positive Solutions in the 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; discretizes ^op Continuous Susceptible Infectious Susceptible Model ⁿⁱ; models ^op Spreading of Infectious Diseases ⁿⁱ; is deterministic ^dp "true"^^boolean; is time-continuous ^dp "false"^^boolean; MaRDI ID ^ap Item: Q6675264 ^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

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

Dissociation Constantⁿⁱ back to ToC or Named Individual ToC

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

measures the propensity of a larger object to separate (dissociate) reversibly into smaller components

belongs to: Quantity ^c
has facts: specialized by ^op Inhibition Constant 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; is chemical constant ^dp "true"^^boolean; MaRDI ID ^ap Item: Q6673922 ^ep; Wikidata ID ^ap Q898254 ^ep

Distribution of Radioactive Tracerⁿⁱ back to ToC or Named Individual ToC

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

distribution of radioactive tracer

belongs to: Quantity ^c
has facts: contained as output in ^op SPECT Known Attenuation ⁿⁱ; contained as output in ^op SPECT Unknown Attenuation ⁿⁱ; contained in ^op SPECT Known Attenuation ⁿⁱ; contained in ^op SPECT Unknown Attenuation ⁿⁱ

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

Dynamic Viscosityⁿⁱ back to ToC or Named Individual ToC

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

measure of the molecular frictional resistance of a fluid as calculated using Newton's law

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; specializes ^op Viscosity ⁿⁱ; QUDT ID ^ap Dynamic Viscosity ^ep; Wikidata ID ^ap Q15152757 ^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 (1942) The Inhibition of Cholinesterase by Physostigmine and Prostigmineⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Eadie_1942_The_Inhibition_of_Cholinesterase_by_Physostigmine_and_Prostigmine

publication

belongs to: Publication ^c
has facts: describes ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ⁿⁱ; describes ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ⁿⁱ; describes ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ⁿⁱ; describes invention of ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ⁿⁱ; describes invention of ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ⁿⁱ; describes invention of ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ⁿⁱ; DOI ^ap S0021 9258(18)72452 6 ^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

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; MaRDI ID ^ap Item: Q6684654 ^ep

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 Chargeⁿⁱ back to ToC or Named Individual ToC

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

physical property that quantifies an object's interaction with electric fields

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 Lorentz Force Equation (Non-Relativistic) ⁿⁱ; contained in ^op Lorentz Force Equation (Relativistic) ⁿⁱ; contained in ^op Quantum Hamiltonian (Electric Charge) ⁿⁱ; contained in ^op Quantum Stationary States ⁿⁱ; contained in ^op Quantum Time Evolution ⁿⁱ; specialized by ^op Elementary Charge ⁿⁱ; MaRDI ID ^ap Item: Q6534323 ^ep; QUDT ID ^ap Electric Charge ^ep; Wikidata ID ^ap Q1111 ^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 ^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

amount of charge per unit time that flows through a unit area.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; specialized by ^op Electric Current Density of Electrons ⁿⁱ; specialized by ^op Electric Current Density 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 Electric 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 Electric 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 Fieldⁿⁱ back to ToC or Named Individual ToC

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

vector field representing the force applied to a charged test particle. The electric field is the gradient of the electrostatic potential

belongs to: Quantity Kind ^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 Quantum Conditional Quasi-Solvability ⁿⁱ; contained in ^op Ampere Law ⁿⁱ; contained in ^op Faraday Law ⁿⁱ; contained in ^op Gauss Law (Electric Field) ⁿⁱ; contained in ^op Lorentz Force Equation (Non-Relativistic) ⁿⁱ; contained in ^op Lorentz Force Equation (Relativistic) ⁿⁱ; contained in ^op Ohm Equation ⁿⁱ; contained in ^op Quantum Conditional Quasi-Solvability ⁿⁱ; contained in ^op Quantum Hamiltonian (Electric Dipole) ⁿⁱ; contained in ^op Quantum Hamiltonian (Electric Polarizability) ⁿⁱ; contained in ^op Quantum Stationary States ⁿⁱ; contained in ^op Quantum Time Evolution ⁿⁱ; MaRDI ID ^ap Item: Q6673689 ^ep; QUDT ID ^ap Electric Field Strength ^ep; Wikidata ID ^ap Q46221 ^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 "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#ElectrophysiologicalMuscleModelODESystem

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 "$\begin{align} \rho_{\text{M}1} \mathbf{\ddot{x}}_{\text{M}1} &= \mathbf{\nabla} \cdot \left(\mathbf{P}_{\text{passive}}(\mathbf{F}_{\text{M}1}) + \mathbf{P}_{\text{active}}(\mathbf{F}_{\text{M}1}, \gamma_{\text{M}1}) - p_{\text{M}1}\mathbf{F}^{-T}_{\text{M}1} \right), &\mathbf{\nabla} \cdot \ \mathbf{\dot{x}}_{\text{M}1} = 0 \ &\text{in} \ \Omega_{\text{M}1}\times [0,T_{\text{end}})\\ \rho_{\text{M}2} \mathbf{\ddot{x}}_{\text{M}2} &= \mathbf{\nabla} \cdot \left(\mathbf{P}_{\text{passive}}(\mathbf{F}_{\text{M}2}) + \mathbf{P}_{\text{active}}(\mathbf{F}_{\text{M}2}, \gamma_{\text{M}2}) - p_{\text{M}2}\mathbf{F}^{-T}_{\text{M}2} \right), &\nabla \cdot \ \mathbf{\dot{x}}_{\text{M}2} = 0 \ &\text{in} \ \Omega_{\text{M}2}\times [0,T_{\text{end}})\\ \rho_{\text{T}}\mathbf{\ddot{x}}_\text{T}&= \mathbf{\nabla} \cdot \left(\mathbf{P}_\text{passive}(\mathbf{F}_{\text{T}}) - p_\text{T}\mathbf{F}^{-T}_{\text{T}}\right), &\mathbf{\nabla} \cdot \ \mathbf{\dot{x}}_{\text{T}}=0 \ & \text{in} \ \Omega_{\text{T}}\times [0,T_{\text{end}}) \end{align}$"^^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

Elementary Chargeⁿⁱ back to ToC or Named Individual ToC

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

electric charge carried by a single proton or a single positron

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 Continuity Equation for Electrons ⁿⁱ; contained in ^op Continuity Equation for Holes ⁿⁱ; contained in ^op Electric Current Density of Electrons ⁿⁱ; contained in ^op Electric Current Density of Holes ⁿⁱ; contained in ^op Poisson Equation for the Electric Potential ⁿⁱ; specializes ^op Electric Charge ⁿⁱ; MaRDI ID ^ap Item: Q6673828 ^ep; QUDT ID ^ap Elementary Charge ^ep; Wikidata ID ^ap Q2101 ^ep

Emission Tomography (No Scatter No Attenuation)ⁿⁱ back to ToC or Named Individual ToC

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

emission tomography with assumptions: no Scatter no attenuation

belongs to: Mathematical Model ^c
has facts: contains ^op ET Measurement Equation (No Scatter, No Attenuation) ⁿⁱ; specializes ^op Emission Tomography (No Scatter With Attenuation) ⁿⁱ

Emission Tomography (No Scatter With Attenuation)ⁿⁱ back to ToC or Named Individual ToC

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

emission tomography with assumptions: no Scatter but with attenuation

belongs to: Mathematical Model ^c
has facts: contains ^op ET Measurement Equation (No Scatter, With Attenuation) ⁿⁱ; models ^op Biodistribution of Gamma-Radiation Emitting Radiotracers in Vivo ⁿⁱ; specialized by ^op Emission Tomography (No Scatter No Attenuation) ⁿⁱ; used by ^op SPECT Known Attenuation ⁿⁱ; used by ^op SPECT Unknown Attenuation ⁿⁱ; alt Label ^ap "Attenuated Radon Transform"@en; alt Label ^ap "SPECT"@en; alt Label ^ap "Single Photon Emission Computed Tomography"@en

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 δ placed at the individuals’ opinions. This distribution describes the stochastic opinion instances at a given time and integrates to ∫ᴰ ρₘ,ₗ⁽ᴺ⁾(𝑥, 𝑡) 𝑑𝑥 ≔ 𝑛ₘ,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 Concentrationⁿⁱ back to ToC or Named Individual ToC

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

amount of enzyme 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; contained in ^op Enzyme Conservation ⁿⁱ; contained in ^op Excess Substrate Assumption ⁿⁱ; contained in ^op Limiting Reaction Rate (Bi Bi Reaction Ordered Mechanism - Backward) 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 (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; specialized by ^op Complexed Enzyme Concentration ⁿⁱ; specialized by ^op Enzyme-Substrate Complex Concentration ⁿⁱ; specializes ^op Concentration ⁿⁱ; MaRDI ID ^ap Item: Q6673796 ^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 Constantⁿⁱ back to ToC or Named Individual ToC

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

equilibrium constant of a chemical reaction is the value of its reaction quotient at chemical equilibrium, a state approached after sufficient time

belongs to: Quantity ^c
has facts: 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 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 Products 1 And 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; specialized by ^op Equilibrium Constant (Bi Bi Reaction Ordered - Steady State Assumption) ⁿⁱ; is chemical constant ^dp "true"^^boolean; is dimensionless ^dp "true"^^boolean; MaRDI ID ^ap Item: Q6673959 ^ep; Wikidata ID ^ap Q857809 ^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

ET Measurement Equation (No Scatter, No Attenuation)ⁿⁱ back to ToC or Named Individual ToC

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

emission tomography equation neglecting scattering and attenuation

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Emission Tomography (No Scatter No Attenuation) ⁿⁱ; contained in ^op Particle Movement on a Line (No Attenuation) ⁿⁱ; contains ^op Normal Vector ⁿⁱ; contains ^op Poisson Distribution ⁿⁱ; specializes ^op ET Measurement Equation (No Scatter, With Attenuation) ⁿⁱ; defining formulation ^dp "$g(\theta,s) = \int_{x\cdot\theta = s} f(x) dx$"^^La Te X ^ep; in defining formulation ^dp "$\theta$, Normal Vector"^^La Te X ^ep; in defining formulation ^dp "$g$, Poisson Distribution"^^La Te X ^ep

ET Measurement Equation (No Scatter, With Attenuation)ⁿⁱ back to ToC or Named Individual ToC

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

emission tomography equation neglecting scattering but including attenuation

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Emission Tomography (No Scatter With Attenuation) ⁿⁱ; contains ^op Attenuation Coefficient ⁿⁱ; contains ^op Poisson Distribution ⁿⁱ; specialized by ^op ET Measurement Equation (No Scatter, No Attenuation) ⁿⁱ; specialized by ^op Positron Emission Tomography Equation ⁿⁱ; defining formulation ^dp "$g(y) = \int_{L} f(x)e^{-\int^{x} \mu(s) \, ds}\,dx$"^^La Te X ^ep; in defining formulation ^dp "$\mu$, Attenuation Coefficient"^^La Te X ^ep; in defining formulation ^dp "$g$, Poisson Distribution"^^La Te X ^ep; alt Label ^ap "Attenuated Radon Transform"@en

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 "$f$, 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; in defining formulation ^dp "$y$, Unknown Function"^^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"^^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; 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 "Explicit 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; specializes ^op Runge–Kutta Method ⁿⁱ; MaRDI ID ^ap Item: Q6674351 ^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

Evaluations Posterior Predictive Distributionⁿⁱ back to ToC or Named Individual ToC

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

evaluation points: X = (xᵢ)ᵢ₌₁ⁿ and evaluations Y = (yᵢ)ᵢ₌₁ⁿ = (f(xᵢ))ᵢ₌₁ⁿ for the posterior predictive distribution

belongs to: Quantity ^c
has facts: contained as input in ^op Approximate Predictive Distribution ⁿⁱ; contained in ^op Approximate Predictive Distribution ⁿⁱ

Evolution Of The Concentration Of Particles PDEⁿⁱ back to ToC or Named Individual ToC

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

spatiotemporal evolution of the concentration of particles depending on the position and time

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Mean-Field PDE Model ⁿⁱ; contains ^op Concentration Of Particles ⁿⁱ; contains ^op Convolution Between Interaction Force And Density ⁿⁱ; contains ^op Diffusion Coefficient ⁿⁱ; contains ^op Interaction Force ⁿⁱ; contains ^op Time ⁿⁱ; defining formulation ^dp "$\partial_t c(x, t)=\partial_x\left(c(x, t)\left(F^{\prime} * c(\cdot, t)\right)(x)\right)+\frac{\sigma^2}{2} \partial_{x x} c(x, t)$"^^La Te X ^ep; in defining formulation ^dp "$(F^{\prime} * c(\cdot, t))$, Convolution Between Interaction Force And Density"^^La Te X ^ep; in defining formulation ^dp "$F'$, Interaction Force"^^La Te X ^ep; in defining formulation ^dp "$\sigma$, Diffusion Coefficient"^^La Te X ^ep; in defining formulation ^dp "$c$, Concentration Of Particles"^^La Te X ^ep; in defining formulation ^dp "$t$, Time"^^La Te X ^ep; description ^ap "This is a nonlinear, nonlocal Fokker-Planck equation that is also called McKean-Vlasov PDE or aggregation-diffusion equation."@en

Evolution Of The Concentration Of Particles SPDEⁿⁱ back to ToC or Named Individual ToC

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

randomness is maintained by this stochastic equation also known as Dean-Kawasaki equation

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Mean-Field SPDE Model ⁿⁱ; contains ^op Concentration Of Particles ⁿⁱ; contains ^op Convolution Between Interaction Force And Density ⁿⁱ; contains ^op Diffusion Coefficient ⁿⁱ; contains ^op Number of Particles ⁿⁱ; contains ^op Time ⁿⁱ; contains ^op White Noise ⁿⁱ; defining formulation ^dp "$\partial_t c(x, t)=\partial_x\left(c(x, t)\left(F^{\prime} * c(\cdot, t)\right)(x)\right)+\frac{\sigma^2}{2} \partial_{x x} c(x, t)+\frac{\sigma}{\sqrt{N}} \partial_x \cdot(\sqrt{c(x, t)} \xi(x, t))$"@en; in defining formulation ^dp "$(F^{\prime} * c(\cdot, t))$, Convolution Between Interaction Force And Density"^^La Te X ^ep; in defining formulation ^dp "$N$, Number of Particles"^^La Te X ^ep; in defining formulation ^dp "$\sigma$, Diffusion Coefficient"^^La Te X ^ep; in defining formulation ^dp "$\xi$, White Noise"^^La Te X ^ep; in defining formulation ^dp "$c$, Concentration Of Particles"^^La Te X ^ep; in defining formulation ^dp "$t$, Time"^^La Te X ^ep

Evolution Of The Position Of A Particle SDEⁿⁱ back to ToC or Named Individual ToC

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

positions of particles evolve according to this set of coupled SDEs

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Stochastic Particle Based Model For Clustering Dynamics ⁿⁱ; contains ^op Diffusion Coefficient ⁿⁱ; contains ^op Interaction Potential ⁿⁱ; contains ^op Number of Particles ⁿⁱ; contains ^op Position Of A Particle ⁿⁱ; contains ^op Wiener Process ⁿⁱ; defining formulation ^dp "$d X_i(t)=-\frac{1}{N} \sum_{j=1}^N F^{\prime}\left(X_i(t)-X_j(t)\right) d t+\sigma d W_i(t)$"^^La Te X ^ep; in defining formulation ^dp "$F(x)$, Interaction Potential"^^La Te X ^ep; in defining formulation ^dp "$N$, Number of Particles"^^La Te X ^ep; in defining formulation ^dp "$W_i$, Wiener Process"^^La Te X ^ep; in defining formulation ^dp "$X_i$, Position Of A Particle"^^La Te X ^ep; in defining formulation ^dp "$\sigma$, Diffusion Coefficient"^^La Te X ^ep; description ^ap "𝑋(𝑡) = (𝑋₁(𝑡), …, 𝑋ₙ(𝑡)) denote the (random) system state at time 𝑡"@en

Excess Substrate Assumptionⁿⁱ back to ToC or Named Individual ToC

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

substrate concentration much higher than enzyme concentration

belongs to: Mathematical Formulation ^c
has facts: contains ^op Enzyme Concentration ⁿⁱ; contains ^op Initial Substrate Concentration (Uni Uni Reaction) ⁿⁱ; contains ^op Substrate Concentration ⁿⁱ; contains initial condition ^op Initial Substrate Concentration (Uni Uni Reaction) ⁿⁱ; defining formulation ^dp "$c_S >> c_E \rightarrow c_S \approx c_{S_{0}}$"^^La Te X ^ep; in defining formulation ^dp "$c_{E}$, Enzyme Concentration"^^La Te X ^ep; in defining formulation ^dp "$c_{S_{0}}$, Substrate Concentration"^^La Te X ^ep; in defining formulation ^dp "$c_{S}$, Substrate Concentration"^^La Te X ^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

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 "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; MaRDI ID ^ap Item: Q6675404 ^ep; Wikidata ID ^ap Q5441227 ^ep

Fermi Potential for Electronsⁿⁱ back to ToC or Named Individual ToC

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

for use in semiconductor physics; strictly speaking, a quasi Fermi potential

belongs to: Quantity ^c
has facts: contained in ^op Boltzmann Approximation for Electrons ⁿⁱ; contained in ^op Continuity Equation for Electrons ⁿⁱ; contained in ^op Continuity Equation for Holes ⁿⁱ; contained in ^op Dirichlet Boundary Condition for Electron Fermi Potential ⁿⁱ; contained in ^op Electric Current Density of Electrons ⁿⁱ; contained in ^op Neumann Boundary Condition for Electron Fermi Potential ⁿⁱ; contained in ^op Poisson Equation for the Electric Potential ⁿⁱ; specializes ^op Energy ⁿⁱ; MaRDI ID ^ap Item: Q6673829 ^ep; Wikidata ID ^ap Q13633683 ^ep

Fermi Potential for Holesⁿⁱ back to ToC or Named Individual ToC

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

for use in semiconductor physics; strictly speaking, a quasi Fermi potential

belongs to: Quantity ^c
has facts: 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 Hole Fermi Potential ⁿⁱ; contained in ^op Electric Current Density of Holes ⁿⁱ; contained in ^op Neumann Boundary Condition for Hole Fermi Potential ⁿⁱ; contained in ^op Poisson Equation for the Electric Potential ⁿⁱ; specializes ^op Energy ⁿⁱ; MaRDI ID ^ap Item: Q6673832 ^ep

Fewest Switches Surface Hopping 1ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FewestSwitchesSurfaceHopping1

original fewest switches surface hopping trajectories for quantum-classical dynamics

belongs to: Mathematical Model ^c
has facts: contains ^op Light Particle Nonadiabatic Criterion 1 ⁿⁱ; specializes ^op Quantum-Classical Model ⁿⁱ; used by ^op Heavy Particle Propagation ⁿⁱ; used by ^op Heavy Particle Velocity Adjustment ⁿⁱ; used by ^op Light Particle Nonadiabatic Transitions ⁿⁱ; used by ^op Light Particle Propagation ⁿⁱ; description ^ap "The trajectories for the heavy particle(s) are propagated on a single potential energy surface (PES) of the light particle(s), but they are allowed to change surface, especially near regions of large nonadiabatic couplings."@en; alt Label ^ap "Molecular Dynamics with Quantum Transitions"@en; alt Label ^ap "Trajectory Surface Hopping"@en; DOI ^ap 1.459170 ^ep

Fewest Switches Surface Hopping 2ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#FewestSwitchesSurfaceHopping2

improved fewest switches surface hopping trajectories for quantum-classical dynamics

belongs to: Mathematical Model ^c
has facts: contains ^op Light Particle Nonadiabatic Criterion 2 ⁿⁱ; specializes ^op Quantum-Classical Model ⁿⁱ; used by ^op Heavy Particle Propagation ⁿⁱ; used by ^op Heavy Particle Velocity Adjustment ⁿⁱ; used by ^op Light Particle Nonadiabatic Transitions ⁿⁱ; used by ^op Light Particle Propagation ⁿⁱ; DOI ^ap acs.jctc.4c00089 ^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

Fluctuating Parts Of Population Density Fractions Approximately Zeroⁿⁱ back to ToC or Named Individual ToC

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

fluctuating parts of population density fractions are approximately zero

belongs to: Mathematical Formulation ^c
has facts: assumed by ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contains ^op Fraction Of Population Density Of Exposed In The ODE Region (Fluctuating Part) ⁿⁱ; contains ^op Fraction Of Population Density Of Infectious In The ODE Region (Fluctuating Part) ⁿⁱ; contains ^op Fraction Of Population Density Of Removed In The ODE Region (Fluctuating Part) ⁿⁱ; contains ^op Fraction Of Population Density Of Susceptibles In The ODE Region (Fluctuating Part) ⁿⁱ; defining formulation ^dp "$\begin{aligned} & \tilde{s}_2 \approx 0\\ & \tilde{e}_2 \approx 0\\ & \tilde{i}_2 \approx 0\\ & \tilde{r}_2 \approx 0 \end{aligned}$"^^La Te X ^ep; in defining formulation ^dp "$\tilde{e}_2$, Fraction Of Population Density Of Exposed In The ODE Region (Fluctuating Part)"^^La Te X ^ep; in defining formulation ^dp "$\tilde{i}_2$, Fraction Of Population Density Of Infectious In The ODE Region (Fluctuating Part)"^^La Te X ^ep; in defining formulation ^dp "$\tilde{r}_2$, Fraction Of Population Density Of Removed In The ODE Region (Fluctuating Part)"^^La Te X ^ep; in defining formulation ^dp "$\tilde{s}_2$, Fraction Of Population Density Of Susceptibles In The ODE Region (Fluctuating Part)"^^La Te X ^ep; description ^ap "s̃₂, ẽ₂, ĩ₂, r̃₂ are assumed to to be approximately zero, since they become vanishingly small as D (Diffusion Coefficient) becomes large."@en

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 Dynamic Viscosity ⁿⁱ; specializes ^op Viscosity ⁿⁱ; MaRDI ID ^ap Item: Q6673786 ^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 Dynamic Viscosity ⁿⁱ; specializes ^op Viscosity ⁿⁱ; MaRDI ID ^ap Item: Q6673913 ^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

Fluxⁿⁱ back to ToC or Named Individual ToC

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

measure of the flow of something through a surface, in some cases per surface area

belongs to: Quantity Kind ^c
has facts: contained in ^op Transport Equation ⁿⁱ; specialized by ^op Flux of Electrons ⁿⁱ; specialized by ^op Flux of Holes ⁿⁱ; QUDT ID ^ap Flux ^ep; Wikidata ID ^ap Q6485344 ^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 Flux 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 Flux 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

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 Exposedⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of exposed Individuals

belongs to: Quantity ^c
has facts: contained in ^op Fraction of Population Density of Exposed Formulation ⁿⁱ; contained in ^op Homogeneous Neumann Boundary Conditions ⁿⁱ; contained in ^op Integral of the Population Density Fraction of Exposed (Initial Condition) ⁿⁱ; contained in ^op Neumann Boundary Condition for SEIR Model 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 SEIR Derivative Relation ⁿⁱ; contained in ^op Zero Flux Condition ⁿⁱ; specializes ^op Population Density ⁿⁱ; MaRDI ID ^ap Item: Q6673981 ^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 Exposed In The ODE Regionⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of exposed Individuals in the ODE region $\Omega_2$ of the domain $\Omega$

belongs to: Quantity ^c
has facts: contained in ^op Continuity Of Densities Condition ⁿⁱ; contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ

Fraction Of Population Density Of Exposed In The ODE Region (Fluctuating Part)ⁿⁱ back to ToC or Named Individual ToC

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

fluctuating part of the fraction of population density of exposed in the ODE region

belongs to: Quantity ^c
has facts: contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contained in ^op Fluctuating Parts Of Population Density Fractions Approximately Zero ⁿⁱ

Fraction Of Population Density Of Exposed In The ODE Region (Mean)ⁿⁱ back to ToC or Named Individual ToC

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

mean of the fraction of population density of exposed in the ODE region

belongs to: Quantity ^c
has facts: contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contained in ^op Initial Number Of SEIR Condition ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Exposed Mean ODE ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Infectious Mean ODE ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Removed Mean ODE ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Susceptibles Mean ODE ⁿⁱ

Fraction Of Population Density Of Exposed In The PDE Regionⁿⁱ back to ToC or Named Individual ToC

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

fraction of the population density of exposed individuals in the PDE region Ω₁

belongs to: Quantity ^c
has facts: contained in ^op Continuity Of Densities Condition ⁿⁱ; contained in ^op Continuity Of Fluxes Condition ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Exposed Mean ODE ⁿⁱ

Fraction of Population Density of Infectiousⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of Infectious Individuals

belongs to: Quantity ^c
has facts: contained in ^op Fraction of Population Density of Infectious Formulation ⁿⁱ; contained in ^op Homogeneous Neumann Boundary Conditions ⁿⁱ; contained in ^op Integral of the Population Density Fraction of Infectious (Initial Condition) ⁿⁱ; contained in ^op Neumann Boundary Condition for SEIR Model 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 SEIR Derivative Relation ⁿⁱ; contained in ^op Zero Flux Condition ⁿⁱ; specializes ^op Population Density ⁿⁱ; MaRDI ID ^ap Item: Q6673983 ^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 Infectious In The ODE Regionⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of infectious Individuals in the ODE region Ω₂ of the domain Ω

belongs to: Quantity ^c
has facts: contained in ^op Continuity Of Densities Condition ⁿⁱ; contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ

Fraction Of Population Density Of Infectious In The ODE Region (Fluctuating Part)ⁿⁱ back to ToC or Named Individual ToC

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

fluctuating part of the fraction of population density of infectious in the ODE region

belongs to: Quantity ^c
has facts: contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contained in ^op Fluctuating Parts Of Population Density Fractions Approximately Zero ⁿⁱ

Fraction Of Population Density Of Infectious In The ODE Region (Mean)ⁿⁱ back to ToC or Named Individual ToC

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

mean of the fraction of population density of Infectious in the ODE region

belongs to: Quantity ^c
has facts: contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contained in ^op Initial Number Of SEIR Condition ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Exposed Mean ODE ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Infectious Mean ODE ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Removed Mean ODE ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Susceptibles Mean ODE ⁿⁱ

Fraction Of Population Density Of Infectious In The PDE Regionⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of infectious Individuals in the PDE region Ω₁

belongs to: Quantity ^c
has facts: contained in ^op Continuity Of Densities Condition ⁿⁱ; contained in ^op Continuity Of Fluxes Condition ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Infectious Mean ODE ⁿⁱ

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; contained in ^op Zero Flux Condition ⁿⁱ; specializes ^op Population Density ⁿⁱ; MaRDI ID ^ap Item: Q6673984 ^ep

Fraction Of Population Density Of Removed In The ODE Regionⁿⁱ back to ToC or Named Individual ToC

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

Fraction of population density of removed Individuals in the ODE region Ω₂ of the domain Ω

belongs to: Quantity ^c
has facts: contained in ^op Continuity Of Densities Condition ⁿⁱ; contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ

Fraction Of Population Density Of Removed In The ODE Region (Fluctuating Part)ⁿⁱ back to ToC or Named Individual ToC

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

fluctuating part of the fraction of population density of removed in the ODE region

belongs to: Quantity ^c
has facts: contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contained in ^op Fluctuating Parts Of Population Density Fractions Approximately Zero ⁿⁱ

Fraction Of Population Density Of Removed In The ODE Region (Mean)ⁿⁱ back to ToC or Named Individual ToC

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

mean of the fraction of population density of removed in the ODE region

belongs to: Quantity ^c
has facts: contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contained in ^op Initial Number Of SEIR Condition ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Removed Mean ODE ⁿⁱ

Fraction Of Population Density Of Removed In The PDE Regionⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of removed Individuals in the PDE region Ω₁

belongs to: Quantity ^c
has facts: contained in ^op Continuity Of Densities Condition ⁿⁱ; contained in ^op Continuity Of Fluxes Condition ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Removed Mean ODE ⁿⁱ

Fraction of Population Density of Susceptiblesⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of susceptible Individuals

belongs to: Quantity ^c
has facts: contained in ^op Fraction of Population Density of Susceptibles Formulation ⁿⁱ; contained in ^op Homogeneous Neumann Boundary Conditions ⁿⁱ; contained in ^op Integral of the Population Density Fraction of Susceptibles (Initial Condition) ⁿⁱ; contained in ^op Neumann Boundary Condition for SEIR Model 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; contained in ^op SEIR Derivative Relation ⁿⁱ; contained in ^op Zero Flux Condition ⁿⁱ; specializes ^op Population Density ⁿⁱ; MaRDI ID ^ap Item: Q6673985 ^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

Fraction Of Population Density Of Susceptibles In The ODE Regionⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of susceptible Individuals in the ODE region Ω₂ of the domain Ω

belongs to: Quantity ^c
has facts: contained in ^op Continuity Of Densities Condition ⁿⁱ; contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ

Fraction Of Population Density Of Susceptibles In The ODE Region (Fluctuating Part)ⁿⁱ back to ToC or Named Individual ToC

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

fluctuating part of the fraction of population density of susceptibles in the ODE region

belongs to: Quantity ^c
has facts: contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contained in ^op Fluctuating Parts Of Population Density Fractions Approximately Zero ⁿⁱ

Fraction Of Population Density Of Susceptibles In The ODE Region (Mean)ⁿⁱ back to ToC or Named Individual ToC

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

mean of the fraction of population density of susceptibles in the ODE region

belongs to: Quantity ^c
has facts: contained in ^op Decomposition Of Population Density Fractions In The ODE Region Into Spatially Constant And Fluctuating Part ⁿⁱ; contained in ^op Initial Number Of SEIR Condition ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Exposed Mean ODE ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Susceptibles Mean ODE ⁿⁱ

Fraction Of Population Density Of Susceptibles In The PDE Regionⁿⁱ back to ToC or Named Individual ToC

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

fraction of population density of susceptible Individuals in the PDE region Ω₁

belongs to: Quantity ^c
has facts: contained in ^op Continuity Of Densities Condition ⁿⁱ; contained in ^op Continuity Of Fluxes Condition ⁿⁱ; contained in ^op Rate Of Change Of Population Density Fraction Of Susceptibles Mean ODE ⁿⁱ

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 Determine Timeⁿⁱ back to ToC or Named Individual ToC

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

how long does it take for a freely falling object to fall to the ground

belongs to: Computational Task ^c
has facts: assumes ^op Uniform Gravitational Acceleration ⁿⁱ; 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 constant ^op Gravitational Acceleration (Earth Surface) ⁿⁱ; contains input ^op Free Fall Initial Height ⁿⁱ; contains input ^op Free Fall Initial Velocity ⁿⁱ; contains output ^op Free Fall Impact Time ⁿⁱ; uses ^op Free Fall Model (Air Drag) ⁿⁱ; uses ^op Free Fall Model (Vacuum) ⁿⁱ; MaRDI ID ^ap Item: Q6684567 ^ep

Free Fall Determine Velocityⁿⁱ back to ToC or Named Individual ToC

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

with which velocity will a freely falling object hit the ground

belongs to: Computational Task ^c
has facts: contains ^op Free Fall Impact Velocity ⁿⁱ; contains ^op Free Fall Initial Height ⁿⁱ; contains ^op Free Fall Initial Velocity ⁿⁱ; contains ^op Gravitational Acceleration (Earth Surface) ⁿⁱ; contains constant ^op Gravitational Acceleration (Earth Surface) ⁿⁱ; contains input ^op Free Fall Initial Height ⁿⁱ; contains input ^op Free Fall Initial Velocity ⁿⁱ; contains output ^op Free Fall Impact Velocity ⁿⁱ; uses ^op Free Fall Model (Air Drag) ⁿⁱ; uses ^op Free Fall Model (Vacuum) ⁿⁱ; MaRDI ID ^ap Item: Q6684568 ^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 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; specialized by ^op Free Fall Equation (Vacuum) ⁿⁱ; specializes ^op Free Fall Equation (Non-Uniform Gravitation) ⁿⁱ; defining formulation ^dp "$\begin{align} m\dot{v} &=& mg-\frac{1}{2}\rho C_DAv^2\\ v(t) &=& v_0 + v_{\infty}\tanh\left(\frac{gt}{v_{\infty}}\right) \\ y(t) &=& y_0+v_0t-\frac{v_\infty^2}{g}\ln\cosh\left(\frac{gt}{v_\infty}\right) \end{align}$"^^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

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

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

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

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 Model (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 Model (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 Initial Heightⁿⁱ back to ToC or Named Individual ToC

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

initial height of an object as it starts falling through a fluid or a gas

belongs to: Quantity ^c
has facts: contained as input in ^op Free Fall Determine Gravitation ⁿⁱ; contained as input in ^op Free Fall Determine Time ⁿⁱ; contained as input in ^op Free Fall Determine Velocity 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 (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; specializes ^op Free Fall Height ⁿⁱ; specializes ^op Initial Classical Position ⁿⁱ; specializes ^op Length ⁿⁱ; alt Label ^ap "Free Fall Initial Altitude"@en; MaRDI ID ^ap Item: Q6673987 ^ep

Free Fall Initial Velocityⁿⁱ back to ToC or Named Individual ToC

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

initial velocity of an object as it starts falling through a fluid or a gas

belongs to: Quantity ^c
has facts: contained as input in ^op Free Fall Determine Gravitation ⁿⁱ; contained as input in ^op Free Fall Determine Time ⁿⁱ; contained as input in ^op Free Fall Determine Velocity 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 Initial Condition ⁿⁱ; specializes ^op Classical Velocity ⁿⁱ; specializes ^op Free Fall Velocity ⁿⁱ; specializes ^op Initial Classical Velocity ⁿⁱ; specializes ^op Velocity ⁿⁱ; MaRDI ID ^ap Item: Q6673988 ^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; 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 (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

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

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

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

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

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

Gattermann (2017) Line pool generationⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Gattermann_2017_Line_pool_generation

publication

belongs to: Publication ^c
has facts: describes ^op Line Concept ⁿⁱ; describes ^op Line Planning ⁿⁱ; describes ^op Optimization in Public Transportation ⁿⁱ; describes ^op Public Transportation Network ⁿⁱ; describes ^op Transportation Planning ⁿⁱ; describes documentation of ^op Line Concept ⁿⁱ; describes study of ^op Line Planning ⁿⁱ; describes study of ^op Optimization in Public Transportation ⁿⁱ; describes study of ^op Public Transportation Network ⁿⁱ; describes study of ^op Transportation Planning ⁿⁱ; DOI ^ap s12469 016 0127 x ^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 Q133871 ^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

Gaussian Processⁿⁱ back to ToC or Named Individual ToC

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

stochastic process such that every finite collection of random variables has a multivariate normal distribution

belongs to: Quantity ^c
has facts: contained in ^op Simulation Behavior Prediction Local Formulation ⁿⁱ; specializes ^op Stochastic Process ⁿⁱ; Wikidata ID ^ap Q1496376 ^ep

Generalized Compartment Based Morphogen Gradient Modelⁿⁱ back to ToC or Named Individual ToC

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

generalized compartment-based model for morphogen gradient modelling

belongs to: Mathematical Model ^c
has facts: assumes ^op A Produced In First Compartment ⁿⁱ; assumes ^op Reaction Diffusion System ⁿⁱ; contains ^op Generalized Poisson Distribution ⁿⁱ; contains ^op Generalized Compartment Reaction ⁿⁱ; contains ^op Generalized Steady State Equations ⁿⁱ; contains ^op Multi Grid Reaction Diffusion Master Equation ⁿⁱ; contains ^op Product Of Poisson Distributions From the mgRDME ⁿⁱ; contains ^op Stationary Multi Grid Reaction Diffusion Master Equation ⁿⁱ; contains ^op Stationary Reaction-Diffusion Master Equation ⁿⁱ; described by ^op Winkelman (2024) Multi-Grid Reaction-Diffusion Master Equation: Applications to Morphogen Gradient Modelling ⁿⁱ; description ^ap "Assuming that molecules of species A diffuse significantly faster than those of species B, a larger compartment size for A is chosen."@en

Generalized Compartment Reactionⁿⁱ back to ToC or Named Individual ToC

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

generalized reactions for each compartment of the compartment-based morphogen gradient models

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Generalized Compartment Based Morphogen Gradient Model ⁿⁱ; contains ^op Compartment Length Ratio ⁿⁱ; contains ^op Morphogen ⁿⁱ; contains ^op Signal ⁿⁱ; defining formulation ^dp "$A_j \xrightarrow{k_2 / \gamma} B_i, \quad j=1,2, \ldots, K_A$"; in defining formulation ^dp "$A$, Signal"^^La Te X ^ep; in defining formulation ^dp "$B$, Morphogen"^^La Te X ^ep; in defining formulation ^dp "$\gamma$, 'Compartment Length Ratio'"^^La Te X ^ep; description ^ap "i denotes the compartment index."@en

Generalized Diffusion Operatorⁿⁱ back to ToC or Named Individual ToC

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

generalized version of the diffusion operator

belongs to: Quantity ^c
has facts: contained in ^op Multi Grid Reaction Diffusion Master Equation ⁿⁱ; contains ^op Operators Oi Minus ⁿⁱ; contains ^op Operators Oi Plus ⁿⁱ; specialized by ^op Diffusion Operator ⁿⁱ; defining formulation ^dp "$\begin{aligned} \tilde{\mathcal{D}} f(\mathbf{n}, \mathbf{m}):\equiv & \frac{D_A}{h^2} \sum_{i=1}^{K_{A}-1}\left\{\left(n_i+1\right) f\left(\mathcal{O}_i^{+} \mathcal{O}_{i+1}^{-} \mathbf{n}, \mathbf{m}\right)-n_i f(\mathbf{n}, \mathbf{m})\right\} \\ & +\frac{D_A}{h^2} \sum_{i=2}^{K_{A}} \left\{\left(n_i+1\right) f\left(\mathcal{O}_i^{+} \mathcal{O}_{i-1}^{-} \mathbf{n}, \mathbf{m}\right)-n_i f(\mathbf{n}, \mathbf{m})\right\} \\ & +\frac{D_B}{h^2} \sum_{i=1}^{K_{B}-1}\left\{\left(m_i+1\right) f\left(\mathbf{n}, \mathcal{O}_i^{+} \mathcal{O}_{i+1}^{-} \mathbf{m}\right)-m_i f(\mathbf{n}, \mathbf{m})\right\} \\ & +\frac{D_B}{h^2} \sum_{i=2}^{K_B}\left\{\left(m_i+1\right) f\left(\mathbf{n}, \mathcal{O}_i^{+} \mathcal{O}_{i-1}^{-} \mathbf{m}\right)-m_i f(\mathbf{n}, \mathbf{m})\right\}\end{aligned}$"^^La Te X ^ep; defining formulation ^dp "$\mathcal{O}_i^{+}$, Operators Oi Plus"^^La Te X ^ep; defining formulation ^dp "$\mathcal{O}_i^{-}$, Operators Oi Minus"^^La Te X ^ep

Generalized Poisson Distributionⁿⁱ back to ToC or Named Individual ToC

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

obtained by solving the stationary mgRDME for the generalized compartment based model

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Generalized Compartment Based Morphogen Gradient Model ⁿⁱ; contained in ^op Generalized Poisson Distribution Formulation ⁿⁱ; contains ^op Compartment Size For A ⁿⁱ; contains ^op Compartment Size For B ⁿⁱ; contains ^op Stationary Distribution ⁿⁱ; defining formulation ^dp "$\phi(\mathbf{n}, \mathbf{m})=\exp \left[-\sum_{j=1}^{K_A} \bar{A}_j-\sum_{i=1}^{K_B} \bar{B}_i\right] \prod_{j=1}^{K_A} \frac{\bar{A}_j^{n_j}}{n_{j}!} \prod_{i=1}^{K_B} \frac{\bar{B}_i^{m_i}}{m_{i}!}$,"^^La Te X ^ep; in defining formulation ^dp "$\phi$, Stationary Distribution"^^La Te X ^ep

Generalized Poisson Distribution Formulationⁿⁱ back to ToC or Named Individual ToC

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

generalized poisson distribution formulation

belongs to: Mathematical Formulation ^c
has facts: contains ^op Generalized Poisson Distribution ⁿⁱ; defining formulation ^dp "$\phi(\mathbf{n}, \mathbf{m})=\exp \left[-\sum_{j=1}^{K_A} \bar{A}_j-\sum_{i=1}^{K_B} \bar{B}_i\right] \prod_{j=1}^{K_A} \frac{\bar{A}_j^{n_j}}{n_{j}!} \prod_{i=1}^{K_B} \frac{\bar{B}_i^{m_i}}{m_{i}!}$,"^^La Te X ^ep

Generalized Reaction Operatorⁿⁱ back to ToC or Named Individual ToC

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

generalized version of the reaction operator

belongs to: Quantity ^c
has facts: contained in ^op Multi Grid Reaction Diffusion Master Equation ⁿⁱ; contains ^op Joint Probability ⁿⁱ; contains ^op Operators Oi Minus ⁿⁱ; contains ^op Operators Oi Plus ⁿⁱ; specialized by ^op Reaction Operator ⁿⁱ; defining formulation ^dp "$\begin{aligned} \tilde{\mathcal{R}} f(\mathbf{n}, \mathbf{m}):\equiv & k_1\left\{f\left(\mathcal{O}_1^{-} \mathbf{n}, \mathbf{m}\right)-f(\mathbf{n}, \mathbf{m})\right\} \\ & +\frac{k_2}{\gamma} \sum_{j=1}^{K_A} \sum_{i \in \mathcal{I}(j)}\left\{\left(n_j+1\right) f\left(\mathcal{O}_j^{+} \mathbf{n}, \mathcal{O}_i^{-} \mathbf{m}\right)-n_j f(\mathbf{n}, \mathbf{m})\right\} \\ & +k_3 \sum_{i=1}^{K_B}\left\{\left(m_i+1\right) f\left(\mathbf{n}, \mathcal{O}_i^{+} \mathbf{m}\right)-m_i f(\mathbf{n}, \mathbf{m})\right\} .\end{aligned}$"^^La Te X ^ep; in defining formulation ^dp "$\mathcal{O}_i^{+}$, Operators Oi Plus"^^La Te X ^ep; in defining formulation ^dp "$\mathcal{O}_i^{-}$, Operators Oi Minus"^^La Te X ^ep; in defining formulation ^dp "$p(\mathbb(n), \mathbb(m), t)$, Joint Probability"^^La Te X ^ep

Generalized Steady State Equationsⁿⁱ back to ToC or Named Individual ToC

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

steady state equations satisfied by average number of molecules of A and B in the Generalized Morphogen Gradient Model

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Generalized Compartment Based Morphogen Gradient Model ⁿⁱ; contains ^op Average Number Of Molecules Of Morphogen ⁿⁱ; contains ^op Average Number Of Molecules Of Signal ⁿⁱ; contains ^op Diffusion Coefficient A ⁿⁱ; contains ^op Diffusion Coefficient B ⁿⁱ; contains ^op Matrix M ⁿⁱ; contains ^op Matrix S ⁿⁱ; defining formulation ^dp "$M$, Matrix M"^^La Te X ^ep; defining formulation ^dp "\begin{align*} \left(\frac{D_A}{h_A^2} S_A-k_2 I_A\right) \overline{\mathbf{A}}=-k_1 \mathbf{e}_1 \\ \quad\left(\frac{D_B}{h_B^2} S_B-k_3 I_B\right) \overline{\mathbf{B}}=-\frac{k_2}{\gamma} M \overline{\mathbf{A}} \end{align*}"^^La Te X ^ep; in defining formulation ^dp "$D_{A}$, Diffusion Coefficient A"^^La Te X ^ep; in defining formulation ^dp "$D_{B}$, Diffusion Coefficient B"^^La Te X ^ep; in defining formulation ^dp "$S$, Matrix S"^^La Te X ^ep; in defining formulation ^dp "$\overline{A}_i$, Average Number Of Molecules Of Signal"^^La Te X ^ep; in defining formulation ^dp "$\overline{B}_i$, Average Number Of Molecules Of Morphogen"^^La Te X ^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

H2 Optimal Approximation (Bi-linear)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#H2OptimalApproximationBilinear

model order reduction by H2 optimal approximation for control systems with bi-linear input equation

belongs to: Computational Task ^c
has facts: contains ^op Control System Input Bilinear ⁿⁱ; contains ^op Control System Input Bilinear (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 Sylvester Generalized Controllability ⁿⁱ; contains ^op Sylvester Generalized Observability ⁿⁱ; contains initial condition ^op Initial Control State ⁿⁱ; contains input ^op Initial Control State (Reduced) ⁿⁱ; specialized by ^op H2 Optimal Approximation (Linear) ⁿⁱ; specializes ^op H2 Optimal Approximation 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; MaRDI ID ^ap Item: Q6684558 ^ep

H2 Optimal Approximation (Linear)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#H2OptimalApproximationLinear

model order reduction by H2 optimal approximation for control systems with linear input equation

belongs to: Computational Task ^c
has facts: contains ^op Control System Input Linear ⁿⁱ; contains ^op Control System Input Linear (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 Sylvester Equation Controllability ⁿⁱ; contains ^op Sylvester Equation Observability ⁿⁱ; contains initial condition ^op Initial Control State ⁿⁱ; contains input ^op Initial Control State (Reduced) ⁿⁱ; specializes ^op H2 Optimal Approximation ⁿⁱ; specializes ^op H2 Optimal Approximation (Bi-linear) ⁿⁱ; specializes ^op Model Order Reduction ⁿⁱ; uses ^op Control System Model (Linear) ⁿⁱ; MaRDI ID ^ap Item: Q6684570 ^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

Heavy Particle Kinetic Operatorⁿⁱ back to ToC or Named Individual ToC

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

kinetic energy operator of the heavy particle(s) in quantum-classical dynamics models

belongs to: Quantity ^c
has facts: contained in ^op Heavy Particle Kinetic Operator ⁿⁱ; contained in ^op Quantum-Classical Hamiltonian ⁿⁱ; contains ^op Heavy Particle Kinetic Operator ⁿⁱ; contains ^op Heavy Particle Mass ⁿⁱ; contains ^op Heavy Particle Position ⁿⁱ; contains ^op Planck Constant ⁿⁱ; specializes ^op Quantum Kinetic Operator ⁿⁱ; specializes ^op Quantum Mechanical Operator ⁿⁱ; defining formulation ^dp "$\hat{T} \equiv - \frac{\hbar^2}{2M} \nabla_R^2$"^^La Te X ^ep; in defining formulation ^dp "$M$, Heavy Particle Mass"^^La Te X ^ep; in defining formulation ^dp "$R$, Heavy Particle Position"^^La Te X ^ep; in defining formulation ^dp "$\hat{T}$, Heavy Particle Kinetic Operator"^^La Te X ^ep; in defining formulation ^dp "$\hbar$, Planck Constant"^^La Te X ^ep

Heavy Particle Massⁿⁱ back to ToC or Named Individual ToC

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

mass(es) of the heavy particle(s) in quantum-classical dynamics models

belongs to: Quantity ^c
has facts: contained in ^op Heavy Particle Kinetic Operator ⁿⁱ; contained in ^op Heavy Particle Newton Equation ⁿⁱ; contained in ^op Quantum-Classical Mass Separation ⁿⁱ; specializes ^op Mass ⁿⁱ; specializes ^op Particle Mass ⁿⁱ

Heavy Particle Mean Forceⁿⁱ back to ToC or Named Individual ToC

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

mean force acting on the heavy particle(s) in quantum-classical dynamics model

belongs to: Quantity ^c
has facts: contained in ^op Heavy Particle Mean Force ⁿⁱ; contained in ^op Heavy Particle Newton Equation ⁿⁱ; contains ^op Heavy Particle Mean Force ⁿⁱ; contains ^op Heavy Particle Position ⁿⁱ; contains ^op Light Particle Position ⁿⁱ; contains ^op Light Particle State Vector ⁿⁱ; contains ^op Quantum-Classical Hamiltonian ⁿⁱ; contains ^op Time ⁿⁱ; defining formulation ^dp "$F(R,t)\equiv-\nabla_R\langle \psi(R,t) | \hat{H}(r;R)| \psi(R,t) \rangle_r$"^^La Te X ^ep; in defining formulation ^dp "$F$, Heavy Particle Mean Force"^^La Te X ^ep; in defining formulation ^dp "$H$, Quantum-Classical Hamiltonian"^^La Te X ^ep; in defining formulation ^dp "$R$, Heavy Particle Position"^^La Te X ^ep; in defining formulation ^dp "$\psi$, Light Particle State Vector"^^La Te X ^ep; in defining formulation ^dp "$r$, Light Particle Position"^^La Te X ^ep; in defining formulation ^dp "$t$, Time"^^La Te X ^ep

Heavy Particle Newton Equationⁿⁱ back to ToC or Named Individual ToC

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

Newton equation governing the heavy particle(s) dynamics in quantum-classical dynamics

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Mean Field Ehrenfest ⁿⁱ; contains ^op Heavy Particle Mass ⁿⁱ; contains ^op Heavy Particle Mean Force ⁿⁱ; contains ^op Time ⁿⁱ; specializes ^op Classical Hamilton Equations ⁿⁱ; specializes ^op Classical Langevin Equation ⁿⁱ; specializes ^op Classical Newton 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 "$F$, Heavy Particle Mean Force"^^La Te X ^ep; in defining formulation ^dp "$M$, Heavy Particle Mass"^^La Te X ^ep; in defining formulation ^dp "$t$, Time"^^La Te X ^ep

Heavy Particle Positionⁿⁱ back to ToC or Named Individual ToC

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

position(s) of the heavy particle(s) in quantum-classical dynamics models

belongs to: Quantity ^c
has facts: contained in ^op Heavy Particle Kinetic Operator ⁿⁱ; contained in ^op Heavy Particle Mean Force ⁿⁱ; contained in ^op Light Particle Expansion Coefficient ⁿⁱ; contained in ^op Light Particle Nonadiabatic Coupling 1 ⁿⁱ; contained in ^op Light Particle Nonadiabatic Coupling 2 ⁿⁱ; contained in ^op Light Particle TDSE ⁿⁱ; contained in ^op Light Particle TISE ⁿⁱ; contained in ^op Quantum-Classical Potential ⁿⁱ; specializes ^op Particle Position ⁿⁱ; specializes ^op Position ⁿⁱ; specializes ^op Position Of A Particle ⁿⁱ

Heavy Particle Propagationⁿⁱ back to ToC or Named Individual ToC

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

propagating the (classical!) state of the heavy particle(s) in quantum-classical dynamics models

belongs to: Computational Task ^c
has facts: similar to ^op Classical Time Evolution ⁿⁱ; similar to ^op Heavy Particle Propagation ⁿⁱ; specializes ^op Classical Time Evolution ⁿⁱ; uses ^op Fewest Switches Surface Hopping 1 ⁿⁱ; uses ^op Fewest Switches Surface Hopping 2 ⁿⁱ; uses ^op Mean Field Ehrenfest ⁿⁱ; description ^ap "Note that in quantum-classical dynamics the forces acting on the heavy particles depend on the quantum state of the light particles."@en; description ^ap "The classical trajectories can be integrated with conventional methods, as the Verlet algorithm. Such integration requires the forces acting on the nuclei. They are proportional to the gradient of the potential energy of the electronic states"@en

Heavy Particle Velocityⁿⁱ back to ToC or Named Individual ToC

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

velocity(s) of the heavy particle(s) in quantum-classical dynamics models

belongs to: Quantity ^c
has facts: contained in ^op Light Particle Nonadiabatic Probability 1 ⁿⁱ; specializes ^op Classical Velocity ⁿⁱ; specializes ^op Velocity ⁿⁱ

Heavy Particle Velocity Adjustmentⁿⁱ back to ToC or Named Individual ToC

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

adjusting heavy particle(s) velocity upon nonadiabatic transitions in quantum-classical dynamics

belongs to: Computational Task ^c
has facts: uses ^op Fewest Switches Surface Hopping 1 ⁿⁱ; uses ^op Fewest Switches Surface Hopping 2 ⁿⁱ; description ^ap "If the classical kinetic energy can aﬀord the energy cost of the quantum transition, the nuclei switch simultaneously to the new PES. The nuclear positions are kept unchanged and the nuclear velocities are adjusted along the direction of the nonadiabatic (NA) coupling vector to conserve total energy. Otherwise, the surface hop is rejected. This procedure is essential to achieve Boltzmann quantum state populations and detailed balance between hops up and down in energy"@en

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#HillTypeTwoMuscleOneTendonODESystem

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

Hofstee (1959) Non-inverted versus inverted plots in enzyme kineticsⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Hofstee_1959_Non_inverted_versus_inverted_plots_in_enzyme_kinetics

publication

belongs to: Publication ^c
has facts: describes ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ⁿⁱ; describes ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ⁿⁱ; describes ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ⁿⁱ; describes invention of ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ⁿⁱ; describes invention of ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Rapid Equilibrium Assumption) ⁿⁱ; describes invention of ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Steady State Assumption) ⁿⁱ; DOI ^ap 1841296b0 ^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 Hybrid PDE ODE 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

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

Huber (2024) Knowledge-Based Modeling of Simulation Behavior for Bayesian Optimizationⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Huber_2024_Knowledge-based_Modeling_Simulation_Behavior

publication

belongs to: Publication ^c
has facts: describes ^op Simulation Behavior Prediction by a Stochastic Model ⁿⁱ; describes invention of ^op Simulation Behavior Prediction by a Stochastic Model ⁿⁱ; describes study of ^op Simulation Behavior Prediction by a Stochastic Model ⁿⁱ; describes use of ^op Simulation Behavior Prediction by a Stochastic Model ⁿⁱ; DOI ^ap s00466 023 02427 3 ^ep

Hybrid PDE ODE SEIR Modelⁿⁱ back to ToC or Named Individual ToC

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

hybrid model combining PDEs and ODEs

belongs to: Mathematical Model ^c
has facts: contains ^op Continuity Of Densities Condition ⁿⁱ; contains ^op Continuity Of Fluxes Condition ⁿⁱ; contains ^op Homogeneous Neumann Boundary Conditions ⁿⁱ; contains ^op Neumann Boundary Condition for SEIR Model ⁿⁱ; contains ^op ODE SEIR Model ⁿⁱ; contains ^op PDE SEIR Model ⁿⁱ; contains ^op SEIR Derivative Relation ⁿⁱ; contains boundary condition ^op Neumann Boundary Condition for SEIR Model ⁿⁱ; contains initial condition ^op Continuity Of Densities Condition ⁿⁱ; contains initial condition ^op Continuity Of Fluxes Condition ⁿⁱ; described by ^op Weiser (2024) Hybrid PDE-ODE Models For Efficient Simulation Of Infection Spread In Epidemiology ⁿⁱ; models ^op Spreading of Infectious Diseases ⁿⁱ; description ^ap "Hybrid model combining the PDE model and ODe model, by segmenting the modeling domain into a PDE part and an ODE part."@en; MaRDI ID ^ap Item: Q6675146 ^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

Imaginary Unitⁿⁱ back to ToC or Named Individual ToC

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

square root of negative one, used to define complex numbers

belongs to: Quantity ^c
has facts: contained in ^op Imaginary Unit ⁿⁱ; contained in ^op Light Particle TDSE ⁿⁱ; contained in ^op Liouville-von Neumann Equation ⁿⁱ; contained in ^op Quantum Lindblad Equation ⁿⁱ; contained in ^op Quantum Momentum Operator ⁿⁱ; contained in ^op Quantum State Vector (Dynamic) 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; contains ^op Imaginary Unit ⁿⁱ; specializes ^op Complex Number (Dimensionless) ⁿⁱ; defining formulation ^dp "$\mathrm{i}^2\equiv-1$"^^La Te X ^ep; in defining formulation ^dp "$\mathrm{i}$, Imaginary Unit"^^La Te X ^ep; is dimensionless ^dp "true"^^boolean; is mathematical constant ^dp "true"^^boolean; alt Label ^ap "Unit Imaginary Number"@en; MaRDI ID ^ap Item: Q6674014 ^ep; Wikidata ID ^ap Q193796 ^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

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 Mean ODE 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 Mean ODE 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 Steady 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 Steady 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 Steady 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 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#InhibitionConstantSubstrate1BiBiReactionTheorellChanceSS

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; 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 "$K_{iS_1} = \frac{k_{-1}}{k_{1}}$"^^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: Q6674404 ^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 Steady 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 - Complex Concentration (Bi Bi Reaction Ordered - ODE Model)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeProduct1ComplexConcentrationBiBiOrderedODEModel

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 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 "$c_{EP_1}(t=0) = c_{{EP_1}_{0}}$"^^La Te X ^ep; in defining formulation ^dp "$c_{EP_1}$, Concentration"^^La Te X ^ep; in defining formulation ^dp "$t$, Time"^^La Te X ^ep; MaRDI ID ^ap Item: Q6674166 ^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 Ordered - ODE Model)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeSubstrate1ComplexConcentrationBiBiOrderedODEModel

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 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: Q6674168 ^ep

Initial Enzyme - Substrate 1 - Complex Concentration (Bi Bi Reaction Ping Pong - ODE Model)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialEnzymeSubstrate1ComplexConcentrationBiBiPingPongODEModel

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 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: Q6674205 ^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 Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

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

initial concentration

belongs to: Mathematical Formulation ^c
has facts: contained as initial condition in ^op Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex) ⁿⁱ; contained in ^op Limiting Reaction Rate Backward (Bi Bi Reaction Ordered - Single Central Complex) ⁿⁱ; contains ^op Concentration ⁿⁱ; contains ^op Time ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) 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: Q6674417 ^ep

Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model)ⁿⁱ back to ToC or Named Individual ToC

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

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 Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) 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: Q6674165 ^ep

Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

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

initial concentration

belongs to: Mathematical Formulation ^c
has facts: contained as initial condition in ^op Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ⁿⁱ; contained as initial condition in ^op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ⁿⁱ; contained in ^op Limiting Reaction Rate Backward (Bi Bi Reaction Ping Pong) ⁿⁱ; contained in ^op Limiting Reaction Rate Forward (Bi Bi Reaction Ping Pong) ⁿⁱ; contains ^op Concentration ⁿⁱ; contains ^op Time ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) 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: Q6674418 ^ep

Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model)ⁿⁱ back to ToC or Named Individual ToC

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

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 Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) 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: Q6674204 ^ep

Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

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

initial concentration

belongs to: Mathematical Formulation ^c
has facts: contained as initial condition in ^op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ⁿⁱ; contained as initial condition in ^op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ⁿⁱ; contained in ^op Limiting Reaction Rate Backward (Bi Bi Reaction Theorell-Chance) ⁿⁱ; contained in ^op Limiting Reaction Rate Forward (Bi Bi Reaction Theorell-Chance) ⁿⁱ; contains ^op Concentration ⁿⁱ; contains ^op Time ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) 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: Q6674420 ^ep

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

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

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 Concentration (Bi Bi Reaction Ordered - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) 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: Q6674227 ^ep

Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

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

initial concentration

belongs to: Mathematical Formulation ^c
has facts: contained as initial condition in ^op Enzyme Conservation ⁿⁱ; contained in ^op Enzyme Conservation ⁿⁱ; contains ^op Concentration ⁿⁱ; contains ^op Time ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ordered - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Uni Uni Reaction - Michaelis Menten Model) 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: Q6674344 ^ep

Initial Enzyme Concentration (Uni Uni Reaction - ODE Model)ⁿⁱ back to ToC or Named Individual ToC

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

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 Concentration ⁿⁱ; contains ^op Time ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ordered - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Ping Pong - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Bi Bi Reaction Theorell-Chance - ODE Model) ⁿⁱ; similar to ^op Initial Enzyme Concentration (Uni Uni Reaction - ODE Model) 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: Q6674419 ^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 Number Of SEIR Conditionⁿⁱ back to ToC or Named Individual ToC

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

initial number of individuals in all four categories is given

belongs to: Mathematical Formulation ^c
has facts: contained as initial condition in ^op ODE SEIR Model ⁿⁱ; contained in ^op ODE SEIR Model ⁿⁱ; contains ^op Fraction Of Population Density Of Exposed In The ODE Region (Mean) ⁿⁱ; contains ^op Fraction Of Population Density Of Infectious In The ODE Region (Mean) ⁿⁱ; contains ^op Fraction Of Population Density Of Removed In The ODE Region (Mean) ⁿⁱ; contains ^op Fraction Of Population Density Of Susceptibles In The ODE Region (Mean) ⁿⁱ; contains ^op Number of Infectious Individuals ⁿⁱ; contains ^op Number of Exposed 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 "$\begin{aligned} &s_2(0)=\frac{S_2(0)}{N_2} \\ &e_2(0)=\frac{E_2(0)}{N_2} \\ &i_2(0)=\frac{I_2(0)}{N_2} \\ &r_2(0)=\frac{R_2(0)}{N_2} \\ \end{aligned}$"^^La Te X ^ep; in defining formulation ^dp "$E_2$, Number Of Exposed Individuals"^^La Te X ^ep; in defining formulation ^dp "$I_2$, Infectious Individuals"^^La Te X ^ep; in defining formulation ^dp "$N_2$, Total Population Size"^^La Te X ^ep; in defining formulation ^dp "$R_2$, Removed Individuals"^^La Te X ^ep; in defining formulation ^dp "$S_2$, Susceptible Individuals"^^La Te X ^ep; in defining formulation ^dp "$\bar{e}_2$, Fraction Of Population Density Of Exposed In The ODE Region (Mean)"^^La Te X ^ep; in defining formulation ^dp "$\bar{i}_2$, Fraction Of Population Density Of Infectious In The ODE Region (Mean)"^^La Te X ^ep; in defining formulation ^dp "$\bar{r}_2$, Fraction Of Population Density Of Removed In The ODE Region (Mean)"^^La Te X ^ep; in defining formulation ^dp "$\bar{s}_2$, Fraction Of Population Density Of Susceptibles In The ODE Region (Mean)"^^La Te X ^ep; description ^ap "Total number of susceptibles S2(0), exposed E2(0), infectious I2(0) and removed R2(0) of the ODE model at time t= 0 are given"@en

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 Ping Pong without Product 1 - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiwithoutProduct1MichaelisMentenModel

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 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 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 Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong 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: Q6674199 ^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 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct1ConcentrationBiBiTheorellChancewithoutProduct1MichaelisMentenModel

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 without Products (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 without Products (Steady State Assumption) ⁿⁱ; contains ^op Concentration ⁿⁱ; contains ^op Time ⁿⁱ; similar to ^op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance 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: Q6674224 ^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 Ping Pong with Product 2 - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiwithProduct2MichaelisMentenModel

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 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 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; contains ^op Concentration ⁿⁱ; contains ^op Time 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: Q6674200 ^ep

Initial Product 2 Concentration (Bi Bi Reaction Ping Pong without Product 2 - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiwithoutProduct2MichaelisMentenModel

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 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 without Products (Steady State Assumption) ⁿⁱ; contains ^op Concentration ⁿⁱ; contains ^op Time ⁿⁱ; similar to ^op Initial Product 1 Concentration (Bi Bi Reaction Ping Pong without Product 1 - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Product 2 Concentration (Bi Bi Reaction Ping Pong 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: Q6674195 ^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 2 Concentration (Bi Bi Reaction Theorell-Chance without Product 2 - Michaelis Menten Model)ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialProduct2ConcentrationBiBiTheorellChancewithoutProduct2MichaelisMentenModel

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 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 without Products (Steady State Assumption) ⁿⁱ; contains ^op Concentration ⁿⁱ; contains ^op Time ⁿⁱ; similar to ^op Initial Product 1 Concentration (Bi Bi Reaction Theorell-Chance without Product 1 - Michaelis Menten Model) ⁿⁱ; similar to ^op Initial Product 2 Concentration (Bi Bi Reaction Theorell-Chance 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: Q6674221 ^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 Densityⁿⁱ back to ToC or Named Individual ToC

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

initial density matrix of a quantum-mechanical system

belongs to: Mathematical Formulation ^c
has facts: contained as initial condition in ^op Quantum Lindblad Equation ⁿⁱ; contained as initial condition in ^op Quantum Model (Closed System) ⁿⁱ; contained as initial condition in ^op Quantum Model (Open System) ⁿⁱ; contained in ^op Quantum Lindblad Equation ⁿⁱ; contained in ^op Quantum Model (Closed System) ⁿⁱ; contained in ^op Quantum Model (Open System) ⁿⁱ; contains ^op Quantum Density Operator ⁿⁱ; contains ^op Time ⁿⁱ; specialized by ^op Initial Classical Density ⁿⁱ; specialized by ^op Initial Quantum State ⁿⁱ; defining formulation ^dp "$\rho(t=0)=\rho_0$"^^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; MaRDI ID ^ap Item: Q6674409 ^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; MaRDI ID ^ap Item: Q6684628 ^ep

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; MaRDI ID ^ap Item: Q6684629 ^ep

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; MaRDI ID ^ap Item: Q6684630 ^ep

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; MaRDI ID ^ap Item: Q6684631 ^ep

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; MaRDI ID ^ap Item: Q6684632 ^ep

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; MaRDI ID ^ap Item: Q6684633 ^ep

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; MaRDI ID ^ap Item: Q6684634 ^ep

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; MaRDI ID ^ap Item: Q6684635 ^ep

Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingPingPongMechanismWithProduct1

initial rate of ping pong 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 Ping Pong Mechanism Michaelis Menten Model with Product 1 (Steady State Assumption) ⁿⁱ; similar to ^op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1 ⁿⁱ; similar to ^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 without Products ⁿⁱ; specializes ^op Bi Bi Reaction ⁿⁱ; specializes ^op Bi Bi Reaction following Ping Pong Mechanism ⁿⁱ; specializes ^op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2 ⁿⁱ; MaRDI ID ^ap Item: Q6684624 ^ep

Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingPingPongMechanismWithProduct2

initial rate of ping pong 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 Ping Pong Mechanism Michaelis Menten Model with Product 2 (Steady State Assumption) ⁿⁱ; similar to ^op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1 ⁿⁱ; similar to ^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 without Products ⁿⁱ; specializes ^op Bi Bi Reaction ⁿⁱ; specializes ^op Bi Bi Reaction following Ping Pong Mechanism ⁿⁱ; specializes ^op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2 ⁿⁱ; MaRDI ID ^ap Item: Q6684625 ^ep

Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2ⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#InitialReactionRateOfBiBiReactionFollowingPingPongMechanismWithProducts1And2

initial rate of ping pong 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 Ping Pong Mechanism Michaelis Menten Model with Products 1 and 2 (Steady State Assumption) 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 without Products ⁿⁱ; specializes ^op Bi Bi Reaction ⁿⁱ; specializes ^op Bi Bi Reaction following Ping Pong Mechanism ⁿⁱ; MaRDI ID ^ap Item: Q6684626 ^ep

Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism without Productsⁿⁱ back to ToC or Named Individual ToC

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

initial rate of ping pong bi bi reaction without products

belongs to: Research Problem ^c
has facts: contained in ^op Enzyme Kinetics ⁿⁱ; modeled by ^op Bi Bi Reaction Ping Pong Mechanism Michaelis Menten Model without Products (Steady State Assumption) ⁿⁱ; specializes ^op Bi Bi Reaction ⁿⁱ; specializes ^op Bi Bi Reaction following Ping Pong Mechanism ⁿⁱ; specializes ^op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 1 ⁿⁱ; specializes ^op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Product 2 ⁿⁱ; specializes ^op Initial Reaction Rate of Bi Bi Reaction following Ping Pong Mechanism with Products 1 and 2 ⁿⁱ; MaRDI ID ^ap Item: Q6684627 ^ep

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; MaRDI ID ^ap Item: Q6684638 ^ep

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; MaRDI ID ^ap Item: Q6684640 ^ep

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; MaRDI ID ^ap Item: Q6684639 ^ep

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; MaRDI ID ^ap Item: Q6684641 ^ep

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 Complete Inhibitionⁿⁱ back to ToC or Named Individual ToC

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

initial rate of uni uni reaction without product and competitive complete inhibition

belongs to: Research Problem ^c
has facts: modeled by ^op Uni Uni Reaction Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ⁿⁱ; specializes ^op Uni Uni Reaction with Competitive Complete Inhibition ⁿⁱ; specializes ^op Uni Uni Reaction with Reversible Complete Inhibition ⁿⁱ; MaRDI ID ^ap Item: Q6684664 ^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; MaRDI ID ^ap Item: Q6684665 ^ep

Initial Reaction Rate of Uni Uni Reaction without Product and Mixed Complete Inhibitionⁿⁱ back to ToC or Named Individual ToC

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

initial rate of uni uni reaction without product and mixed complete inhibition

belongs to: Research Problem ^c
has facts: modeled by ^op Uni Uni Reaction Mixed Complete Inhibition (Dixon Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Mixed Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Mixed Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Mixed Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Mixed Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ⁿⁱ; specializes ^op Uni Uni Reaction with Mixed Complete Inhibition ⁿⁱ; specializes ^op Uni Uni Reaction with Reversible Complete Inhibition ⁿⁱ; MaRDI ID ^ap Item: Q6684666 ^ep

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; MaRDI ID ^ap Item: Q6684667 ^ep

Initial Reaction Rate of Uni Uni Reaction without Product and Non-Competitive Complete Inhibitionⁿⁱ back to ToC or Named Individual ToC

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

initial rate of uni uni reaction without product and non-competitive complete inhibition

belongs to: Research Problem ^c
has facts: modeled by ^op Uni Uni Reaction Non-Competitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Non-Competitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Non-Competitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Non-Competitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Non-Competitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ⁿⁱ; specializes ^op Uni Uni Reaction with Non-Competitive Complete Inhibition ⁿⁱ; specializes ^op Uni Uni Reaction with Reversible Complete Inhibition ⁿⁱ; MaRDI ID ^ap Item: Q6684668 ^ep

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; MaRDI ID ^ap Item: Q6684669 ^ep

Initial Reaction Rate of Uni Uni Reaction without Product and Uncompetitive Complete Inhibitionⁿⁱ back to ToC or Named Individual ToC

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

initial rate of uni uni reaction without product and uncompetitive complete inhibition

belongs to: Research Problem ^c
has facts: modeled by ^op Uni Uni Reaction Uncompetitive Complete Inhibition (Dixon Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Uncompetitive Complete Inhibition (Eadie Hofstee Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Uncompetitive Complete Inhibition (Hanes Woolf Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Uncompetitive Complete Inhibition (Lineweaver Burk Model without Product - Steady State Assumption) ⁿⁱ; modeled by ^op Uni Uni Reaction Uncompetitive Complete Inhibition (Michaelis Menten Model without Product - Steady State Assumption) ⁿⁱ; specializes ^op Uni Uni Reaction with Reversible Complete Inhibition ⁿⁱ; specializes ^op Uni Uni Reaction with Uncompetitive Complete Inhibition ⁿⁱ; MaRDI ID ^ap Item: Q6684670 ^ep

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; MaRDI ID ^ap Item: Q6684671 ^ep

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 Excess Substrate Assumption ⁿⁱ; 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 Excess Substrate 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

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

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

number that can be written without a fractional or decimal component

belongs to: Quantity Kind ^c
has facts: specialized by ^op Infectious ⁿⁱ; specialized by ^op Number of Infectious Individuals ⁿⁱ; specialized by ^op Maximal Object Descriptiveness Rating ⁿⁱ; specialized by ^op Molecularity ⁿⁱ; specialized by ^op Number of Cities ⁿⁱ; specialized by ^op Number of Exposed Individuals ⁿⁱ; specialized by ^op Number of Infected Cities ⁿⁱ; specialized by ^op Number of Object Properties ⁿⁱ; specialized by ^op Number of Objects ⁿⁱ; specialized by ^op Number of Occurrences ⁿⁱ; specialized by ^op Number of Particles ⁿⁱ; specialized by ^op Number of Regions ⁿⁱ; specialized by ^op Number of Spindles ⁿⁱ; specialized by ^op Number of Susceptible Cities ⁿⁱ; specialized by ^op Number of Time Points ⁿⁱ; specialized by ^op Quantum Number ⁿⁱ; specialized by ^op Removed ⁿⁱ; specialized by ^op Number of Removed Individuals ⁿⁱ; specialized by ^op Number of Susceptible Individuals ⁿⁱ; specialized by ^op Susceptibles ⁿⁱ; specialized by ^op Total Number of Individuals ⁿⁱ; specialized by ^op Total Population Size ⁿⁱ; is dimensionless ^dp "true"^^boolean; MaRDI ID ^ap Item: Q6673724 ^ep; Wikidata ID ^ap Q12503 ^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 Convolution Between Interaction Force And Density Formulation ⁿⁱ; contained in ^op Evolution Of The Concentration Of Particles PDE 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 "$F_i(\mathbf{x}, \mathbf{y}, \mathbf{z}, t)=\frac{a}{\sum_{j^{\prime}} w_{i j^{\prime}}(t)} \sum_{j=1}^N w_{i j}(t)\left(x_j(t)-x_i(t)\right)+b \sum_{m=1}^M B_{i m}(t)\left(y_m(t)-x_i(t)\right)+c \sum_{l=1}^L C_{i l}(t)\left(z_l(t)-x_i(t)\right)$"^^La Te X ^ep; 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 Potentialⁿⁱ back to ToC or Named Individual ToC

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

potential modeling pairwise interactions between particles

belongs to: Quantity ^c
has facts: contained in ^op Evolution Of The Position Of A Particle SDE ⁿⁱ; contained in ^op Interaction Potential Formulation ⁿⁱ

Interaction Potential Formulationⁿⁱ back to ToC or Named Individual ToC

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

given by the generalized Morse potential

belongs to: Mathematical Formulation ^c
has facts: contained in ^op Stochastic Particle Based Model For Clustering Dynamics ⁿⁱ; contains ^op Interaction Potential ⁿⁱ; contains ^op Length Scale of Attractive Forces ⁿⁱ; contains ^op Length Scale of Repulsive Forces ⁿⁱ; contains ^op Strength Of Attractive Forces ⁿⁱ; contains ^op Strength Of Repulsive Forces ⁿⁱ; defining formulation ^dp "$F(x)=-C_a \exp \left(-\frac{|x|}{l_a}\right)+C_r \exp \left(-\frac{|x|}{l_r}\right)$"^^La Te X ^ep; in defining formulation ^dp "$C_a$, Strength Of Attractive Forces"^^La Te X ^ep; in defining formulation ^dp "$C_r$, Strength Of Repulsive Forces"^^La Te X ^ep; in defining formulation ^dp "$F(x)$, Interaction Potential"^^La Te X ^ep; in defining formulation ^dp "$l_a$, Length Scale Of Attractive Forces"^^La Te X ^ep; in defining formulation ^dp "$l_r$, Length Scale Of Repulsive Forces"^^La Te X ^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

Irreversibility Assumptionⁿⁱ back to ToC or Named Individual ToC

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

complexed enzyme concentration much higher than the product concentration

belongs to: Mathematical Formulation ^c
has facts: assumed by ^op Uni Uni Reaction (Eadie Hofstee Model without Product - Irreversibility Assumption) ⁿⁱ; assumed by ^op Uni Uni Reaction (Hanes Woolf Model without Product - Irreversibility Assumption) ⁿⁱ; assumed by ^op Uni Uni Reaction (Lineweaver Burk Model without Product - Irreversibility Assumption) ⁿⁱ; assumed by ^op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ⁿⁱ; contained in ^op Uni Uni Reaction (Michaelis Menten Model without Product - Irreversibility Assumption) ⁿⁱ; contains ^op Complexed Enzyme Concentration ⁿⁱ; contains ^op Product Concentration ⁿⁱ; defining formulation ^dp "$\frac{c_{EX}}{c_P} \gg 1$"^^La Te X ^ep; in defining formulation ^dp "$c_P$, Product Concentration"^^La Te X ^ep; in defining formulation ^dp "$c_{EX}$, Complexed Enzyme Concentration"^^La Te X ^ep; MaRDI ID ^ap Item: Q6674436 ^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

Joint Probabilityⁿⁱ back to ToC or Named Individual ToC

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

joint probability that Aᵢ(t) = nᵢ and Bᵢ(t) = mᵢ for all i = 1, 2, …, K

belongs to: Quantity ^c
has facts: contained in ^op Generalized Reaction Operator ⁿⁱ; contained in ^op Multi Grid Reaction Diffusion Master Equation ⁿⁱ; contained in ^op Reaction Diffusion Master Equation ⁿⁱ; contained in ^op Stationary Distribution ⁿⁱ; description ^ap "The number of particles in the i-th compartment at time t≥0 is denoted by $A_i(t)$ and Bᵢ(t). 𝓃 = [n₁, n₂, …, n_K] ∈ ℕᵏ and 𝓂 = [m₁, m₂, …, m_K] ∈ ℕᵏ are used to define the system state."@en; Wikidata ID ^ap "https://www.wikidata.org/wiki/Q106448902"

Jump Rate of Aⁿⁱ back to ToC or Named Individual ToC

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

jump rate of species A

belongs to: Quantity ^c
has facts: contained in ^op Steady State Equations ⁿⁱ; defining formulation ^dp "$d_{A} \equiv \frac{D_A}{h^2} $"^^La Te X ^ep

Jump Rate of Bⁿⁱ back to ToC or Named Individual ToC

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

jump rate of species B

belongs to: Quantity ^c
has facts: contained in ^op Steady State Equations ⁿⁱ; defining formulation ^dp "$d_{B} \equiv \frac{D_B}{h^2} $"^^La Te X ^ep

Kack (2001) Principles of Computerized Tomographic Imagingⁿⁱ back to ToC or Named Individual ToC

IRI: https://mardi4nfdi.de/mathmoddb#Kack_2001_Principles_of_Computerized_Tomographic_Imaging

publication

belongs to: Publication ^c
has facts: describes ^op Computerized Tomography (No Scatter) ⁿⁱ; describes survey of ^op Computerized Tomography (No Scatter) ⁿⁱ; DOI ^ap 1.9780898719277.fm ^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

Lengthⁿⁱ back to ToC or Named Individual ToC

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

measured dimension of an object

belongs to: Quantity Kind ^c
has facts: contained in ^op Line Costs Computation ⁿⁱ; contained in ^op Linear Strain ⁿⁱ; contained in ^op Steady State Equations ⁿⁱ; specialized by ^op Change In Length ⁿⁱ; specialized by ^op Characteristic Length ⁿⁱ; specialized by ^op Classical Position ⁿⁱ; specialized by ^op Compartment Size ⁿⁱ; specialized by ^op Displacement ⁿⁱ; specialized by ^op Displacement Muscle Tendon ⁿⁱ; specialized by ^op Displacement of Atoms ⁿⁱ; specialized by ^op Earth Radius ⁿⁱ; specialized by ^op Electrode Interfaces ⁿⁱ; specialized by ^op Free Fall Height ⁿⁱ; specialized by ^op Free Fall Initial Height ⁿⁱ; specialized by ^op Length of Unit Cell ⁿⁱ; specialized by ^op Material Point Displacement ⁿⁱ; specialized by ^op Muscle Length ⁿⁱ; specialized by ^op Stress Free Muscle Length ⁿⁱ; specialized by ^op Stress Free Tendon Length ⁿⁱ; specialized by ^op Tendon Length ⁿⁱ; MaRDI ID ^ap Item: Q6673703 ^ep; QUDT ID ^ap Length ^ep; Wikidata ID ^ap Q36253 ^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

Length Scale of Attractive Forcesⁿⁱ back to ToC or Named Individual ToC

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

length scale of attractive forces

belongs to: Quantity ^c
has facts: contained in ^op Attraction Dominates Repulsion Assumption ⁿⁱ; contained in ^op Interaction Potential Formulation ⁿⁱ

Length Scale of Repulsive Forcesⁿⁱ back to ToC or Named Individual ToC

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

length scale of repulsive forces

belongs to: Quantity ^c
has facts: contained in ^op Attraction Dominates Repulsion Assumption ⁿⁱ; contained in ^op Interaction Potential Formulation ⁿⁱ

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

MathModDB Ontology and Knowledge Graph for Mathematical Models

Abstract

Introduction back to ToC

Motivation & Introduction

Structure

MathModDB Ontology: Overview back to ToC

Classes

Object Properties

Data Properties

Annotation Properties

Named Individuals

MathModDB Ontology: Description back to ToC

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

Classes

Computational Taskc back to ToC or Class ToC

Mathematical Formulationc back to ToC or Class ToC

Mathematical Modelc back to ToC or Class ToC

Publicationc back to ToC or Class ToC

Quantityc back to ToC or Class ToC

Quantity Kindc back to ToC or Class ToC

Research Fieldc back to ToC or Class ToC

Research Problemc back to ToC or Class ToC

Object Properties

approximated byop back to ToC or Object Property ToC

approximatesop back to ToC or Object Property ToC

assumed byop back to ToC or Object Property ToC

assumesop back to ToC or Object Property ToC

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

contained as constant inop back to ToC or Object Property ToC

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

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

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

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

contained as input inop back to ToC or Object Property ToC

contained as objective inop back to ToC or Object Property ToC

contained as output inop back to ToC or Object Property ToC

contained as parameter inop back to ToC or Object Property ToC

contained inop back to ToC or Object Property ToC

containsop back to ToC or Object Property ToC

contains boundary conditionop back to ToC or Object Property ToC

contains constantop back to ToC or Object Property ToC

contains constraint conditionop back to ToC or Object Property ToC

contains coupling conditionop back to ToC or Object Property ToC

contains final conditionop back to ToC or Object Property ToC

contains initial conditionop back to ToC or Object Property ToC

contains inputop back to ToC or Object Property ToC

contains objectiveop back to ToC or Object Property ToC

contains outputop back to ToC or Object Property ToC

contains parameterop back to ToC or Object Property ToC

described as documented byop back to ToC or Object Property ToC

described as invented byop back to ToC or Object Property ToC

described as studied byop back to ToC or Object Property ToC

described as surveyed byop back to ToC or Object Property ToC

described as used byop back to ToC or Object Property ToC

described byop back to ToC or Object Property ToC

describesop back to ToC or Object Property ToC

describes documentation ofop back to ToC or Object Property ToC

describes invention ofop back to ToC or Object Property ToC

describes study ofop back to ToC or Object Property ToC

describes survey ofop back to ToC or Object Property ToC

describes use ofop back to ToC or Object Property ToC

discretized byop back to ToC or Object Property ToC

discretizesop back to ToC or Object Property ToC

linearized byop back to ToC or Object Property ToC

linearizesop back to ToC or Object Property ToC

modeled byop back to ToC or Object Property ToC

modelsop back to ToC or Object Property ToC

nondimensionalized byop back to ToC or Object Property ToC

nondimensionalizesop back to ToC or Object Property ToC

similar toop back to ToC or Object Property ToC

specialized byop back to ToC or Object Property ToC

specializesop back to ToC or Object Property ToC

used byop back to ToC or Object Property ToC

usesop back to ToC or Object Property ToC

Data Properties

defining formulationdp back to ToC or Data Property ToC

in defining formulationdp back to ToC or Data Property ToC

is chemical constantdp back to ToC or Data Property ToC

is deterministicdp back to ToC or Data Property ToC

is dimensionlessdp back to ToC or Data Property ToC

Computational Task^c back to ToC or Class ToC

Mathematical Formulation^c back to ToC or Class ToC

Mathematical Model^c back to ToC or Class ToC

Publication^c back to ToC or Class ToC

Quantity^c back to ToC or Class ToC

Quantity Kind^c back to ToC or Class ToC

Research Field^c back to ToC or Class ToC

Research Problem^c back to ToC or Class ToC

approximated by^op back to ToC or Object Property ToC

approximates^op back to ToC or Object Property ToC

assumed by^op back to ToC or Object Property ToC

assumes^op back to ToC or Object Property ToC

contained as boundary condition in^op back to ToC or Object Property ToC

contained as constant in^op back to ToC or Object Property ToC

contained as constraint condition in^op back to ToC or Object Property ToC

contained as coupling condition in^op back to ToC or Object Property ToC

contained as final condition in^op back to ToC or Object Property ToC

contained as initial condition in^op back to ToC or Object Property ToC

contained as input in^op back to ToC or Object Property ToC

contained as objective in^op back to ToC or Object Property ToC

contained as output in^op back to ToC or Object Property ToC

contained as parameter in^op back to ToC or Object Property ToC

contained in^op back to ToC or Object Property ToC

contains^op back to ToC or Object Property ToC

contains boundary condition^op back to ToC or Object Property ToC

contains constant^op back to ToC or Object Property ToC

contains constraint condition^op back to ToC or Object Property ToC

contains coupling condition^op back to ToC or Object Property ToC

contains final condition^op back to ToC or Object Property ToC

contains initial condition^op back to ToC or Object Property ToC

contains input^op back to ToC or Object Property ToC

contains objective^op back to ToC or Object Property ToC

contains output^op back to ToC or Object Property ToC

contains parameter^op back to ToC or Object Property ToC

described as documented by^op back to ToC or Object Property ToC

described as invented by^op back to ToC or Object Property ToC

described as studied by^op back to ToC or Object Property ToC

described as surveyed by^op back to ToC or Object Property ToC

described as used by^op back to ToC or Object Property ToC

described by^op back to ToC or Object Property ToC

describes^op back to ToC or Object Property ToC

describes documentation of^op back to ToC or Object Property ToC

describes invention of^op back to ToC or Object Property ToC

describes study of^op back to ToC or Object Property ToC

describes survey of^op back to ToC or Object Property ToC

describes use of^op back to ToC or Object Property ToC

discretized by^op back to ToC or Object Property ToC

discretizes^op back to ToC or Object Property ToC

linearized by^op back to ToC or Object Property ToC

linearizes^op back to ToC or Object Property ToC

modeled by^op back to ToC or Object Property ToC

models^op back to ToC or Object Property ToC

nondimensionalized by^op back to ToC or Object Property ToC

nondimensionalizes^op back to ToC or Object Property ToC

similar to^op back to ToC or Object Property ToC

specialized by^op back to ToC or Object Property ToC

specializes^op back to ToC or Object Property ToC

used by^op back to ToC or Object Property ToC

uses^op back to ToC or Object Property ToC

defining formulation^dp back to ToC or Data Property ToC

in defining formulation^dp back to ToC or Data Property ToC

is chemical constant^dp back to ToC or Data Property ToC

is deterministic^dp back to ToC or Data Property ToC

is dimensionless^dp back to ToC or Data Property ToC

is dynamic^dp back to ToC or Data Property ToC

is linear^dp back to ToC or Data Property ToC

is mathematical constant^dp back to ToC or Data Property ToC

is physical constant^dp back to ToC or Data Property ToC

is space-continuous^dp back to ToC or Data Property ToC

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abstract^ap back to ToC or Annotation Property ToC

alt Label^ap back to ToC or Annotation Property ToC

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bibliographic Citation^ap back to ToC or Annotation Property ToC

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license^ap back to ToC or Annotation Property ToC

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