Switching and Diffusion Models for Gene Regulation Networks

DOI10.1137/080735412zbMath1184.92016OpenAlexW2075884743MaRDI QIDQ3549897

Xuerong Mao, Somkid Intep, Desmond J. Higham

Publication date: 30 March 2010

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

Full work available at URL: https://strathprints.strath.ac.uk/13621/

zbMATH Keywords

diffusionMarkov chaintranslationhybrid modeltranscriptionstochastic simulation algorithmtransition rateItô lemmaGillespie's algorithmslow scale simulation

Mathematics Subject Classification ID

Applications of statistics to biology and medical sciences; meta analysis (62P10) Stochastic ordinary differential equations (aspects of stochastic analysis) (60H10) Classical flows, reactions, etc. in chemistry (92E20) Applications of stochastic analysis (to PDEs, etc.) (60H30) Numerical solutions to stochastic differential and integral equations (65C30) Systems biology, networks (92C42)

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A numerical characteristic method for probability generating functions on stochastic first-order reaction networks ⋮ Hybrid simulation of autoregulation within transcription and translation ⋮ Approximate analysis of biological systems by hybrid switching jump diffusion

Uses Software

• BioBayes