On Constrained Langevin Equations and (Bio)Chemical Reaction Networks

DOI10.1137/18M1190999zbMath1481.60146OpenAlexW2908114973MaRDI QIDQ4627441

Ruth J. Williams, Saul C. Leite, Desmond J. Higham, David F. Anderson

Publication date: 11 March 2019

Published in: Multiscale Modeling & Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/18m1190999

zbMATH Keywords

diffusion approximationLangevin equationsystems biologylinear noise approximationchemical reaction networksstochastic differential equation with reflectiondensity dependent Markov chains

Mathematics Subject Classification ID

Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Biochemistry, molecular biology (92C40) Numerical analysis or methods applied to Markov chains (65C40) Diffusion processes (60J60) Numerical solutions to stochastic differential and integral equations (65C30) Applications of continuous-time Markov processes on discrete state spaces (60J28)

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Uses Software

• R

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