Dimensional Reduction of the Fokker–Planck Equation for Stochastic Chemical Reactions

DOI10.1137/050639120zbMath1126.82027OpenAlexW1994021794MaRDI QIDQ3446804

Lars Ferm, Per Loetstedt

Publication date: 26 June 2007

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

Full work available at URL: https://doi.org/10.1137/050639120

zbMATH Keywords

Fokker-Planck equationdimensional reductionmaster equationreaction rate equations

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Method of lines for initial value and initial-boundary value problems involving PDEs (65M20) Mesh generation, refinement, and adaptive methods for the numerical solution of initial value and initial-boundary value problems involving PDEs (65M50)

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Reduction for Stochastic Biochemical Reaction Networks with Multiscale Conservations ⋮ Hybrid method for the chemical master equation ⋮ A Fokker-Planck approach to the study of robustness in gene expression ⋮ Sparse grids and hybrid methods for the chemical master equation ⋮ Numerical method for coupling the macro and meso scales in stochastic chemical kinetics ⋮ Adaptive solution of the master equation in low dimensions ⋮ A hierarchy of approximations of the master equation scaled by a size parameter ⋮ Krylov subspace approximation for quadratic-bilinear differential system

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