Error Analysis of Diffusion Approximation Methods for Multiscale Systems in Reaction Kinetics

DOI10.1137/14100052XzbMath1457.80011arXiv1412.5755OpenAlexW2964152770MaRDI QIDQ2790090

Simon L. Cotter, Radek Erban

Publication date: 2 March 2016

Published in: SIAM Journal on Scientific Computing (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1412.5755

zbMATH Keywords

networksmultiscalestochasticbiochemical

Mathematics Subject Classification ID

Stochastic network models in operations research (90B15) Inverse problems for PDEs (35R30) Numerical analysis or methods applied to Markov chains (65C40) Chemical kinetics in thermodynamics and heat transfer (80A30)

Related Items (7)

Constrained approximation of effective generators for multiscale stochastic reaction networks and application to conditioned path sampling ⋮ ADM-CLE Approach for Detecting Slow Variables in Continuous Time Markov Chains and Dynamic Data ⋮ Approximation and inference methods for stochastic biochemical kinetics—a tutorial review ⋮ Transport Map Accelerated Adaptive Importance Sampling, and Application to Inverse Problems Arising from Multiscale Stochastic Reaction Networks ⋮ Product-form stationary distributions for deficiency zero networks with non-mass action kinetics ⋮ Noise-induced mixing and multimodality in reaction networks ⋮ Multiscale stochastic reaction-diffusion algorithms combining Markov chain models with stochastic partial differential equations

Uses Software

• STOCHSIMGPU

Cites Work

• Multiscale stochastic simulation algorithm with stochastic partial equilibrium assumption for chemically reacting systems
• Solving the chemical master equation for monomolecular reaction systems analytically
• Hybrid framework for the simulation of stochastic chemical kinetics
• An equation-free computational approach for extracting population-level behavior from individual-based models of biological dispersal
• ADM-CLE Approach for Detecting Slow Variables in Continuous Time Markov Chains and Dynamic Data
• Analysis of a Stochastic Chemical System Close to a SNIPER Bifurcation of Its Mean-Field Model
• Adaptive Finite Element Method Assisted by Stochastic Simulation of Chemical Systems
• Fokker–Planck approximation of the master equation in molecular biology

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