Model Reduction for Stochastic Reaction Systems

Stephen Smith and Ramon Grima ()
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Stephen Smith: University of Edinburgh, School of Biological Sciences
Ramon Grima: University of Edinburgh, School of Biological Sciences

A chapter in Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology, 2017, pp 143-158 from Springer

Abstract: Abstract It is often the case that one or more species in a system are much more abundant than the rest of the species. For such cases solving or simulating the master equation of the whole system is unnecessary since only the less abundant species will exhibit significant fluctuations number of fluctuations. Here we present a simple technique by which one can obtain, from the master equation of the full system, a reduced master equation for the less abundant species only. The method is illustrated on various examples drawn from chemistry, molecular biology and ecology.

Date: 2017
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-319-62627-7_7

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DOI: 10.1007/978-3-319-62627-7_7

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