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A constrained approach to multiscale stochastic simulation of chemically reacting systems

Cotter, Simon L., Zygalakis, Konstantinos C., Kevrekidis, Ioannis G. and Erban, Radek (2011) A constrained approach to multiscale stochastic simulation of chemically reacting systems The Journal of Chemical Physics, 135, (9), p. 94102. (doi:10.1063/1.3624333).

Record type: Article

Abstract

Stochastic simulation of coupled chemical reactions is often computationally intensive, especially if a chemical system contains reactions occurring on different time scales. In this paper, we introduce a multiscale methodology suitable to address this problem, assuming that the evolution of the slow species in the system is well approximated by a Langevin process. It is based on the conditional stochastic simulation algorithm (CSSA) which samples from the conditional distribution of the suitably defined fast variables, given values for the slow variables. In the constrained multiscale algorithm (CMA) a single realization of the CSSA is then used for each value of the slow variable to approximate the effective drift and diffusion terms, in a similar manner to the constrained mean-force computations in other applications such as molecular dynamics. We then show how using the ensuing Fokker-Planck equation approximation, we can in turn approximate average switching times in stochastic chemical systems

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More information

Published date: 1 September 2011
Keywords: fokker-planck equation, molecular dynamics method, reaction kinetics, stochastic processes
Organisations: Applied Mathematics

Identifiers

Local EPrints ID: 340573
URI: http://eprints.soton.ac.uk/id/eprint/340573
ISSN: 0021-9606
PURE UUID: 6061f8a9-29b1-4d6c-97f6-18905a9efbfb

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Date deposited: 25 Jun 2012 14:36
Last modified: 18 Jul 2017 05:43

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Contributors

Author: Simon L. Cotter
Author: Konstantinos C. Zygalakis
Author: Ioannis G. Kevrekidis
Author: Radek Erban

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