Solving the chemical master equation by a fast adaptive finite state projection based on the stochastic simulation algorithm

DOI10.1016/j.mbs.2015.08.010zbMath1351.92018OpenAlexW1137540706WikidataQ50861553 ScholiaQ50861553MaRDI QIDQ900714

H. D. Vo, Roger B. Sidje

Publication date: 22 December 2015

Published in: Mathematical Biosciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mbs.2015.08.010

zbMATH Keywords

model reductionmatrix exponentialchemical master equationstochastic simulation algorithmfinite state projection

Mathematics Subject Classification ID

Kinetics in biochemical problems (pharmacokinetics, enzyme kinetics, etc.) (92C45) Applications of Markov chains and discrete-time Markov processes on general state spaces (social mobility, learning theory, industrial processes, etc.) (60J20)

Related Items

A Review of Stochastic and Delay Simulation Approaches in Both Time and Space in Computational Cell Biology, Conditional Monte Carlo for Reaction Networks, Solving the chemical master equation by a fast adaptive finite state projection based on the stochastic simulation algorithm, The Exit Time Finite State Projection Scheme: Bounding Exit Distributions and Occupation Measures of Continuous-Time Markov Chains, A shift and invert reorthogonalization Arnoldi algorithm for solving the chemical master equation, Finite state projection for approximating the stationary solution to the chemical master equation using reaction rate equations

Uses Software

• Expokit

Cites Work

• Solving the chemical master equation by a fast adaptive finite state projection based on the stochastic simulation algorithm
• A multiple time interval finite state projection algorithm for the solution to the chemical master equation
• Modeling and Simulating Chemical Reactions
• Multiscale Modeling of Chemical Kinetics via the Master Equation
• Expokit