Model reduction for stochastic reaction systems

Stephen Smith; Ramon Grima

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

Model reduction for stochastic reaction systems

Stephen Smith, Ramon Grima^*

^*Corresponding author for this work

School of Biological Sciences

Research output: Chapter in Book/Report/Conference proceeding › Chapter

Abstract / Description of output

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.

Original language	English
Title of host publication	Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology
Publisher	Springer
Pages	143-158
Number of pages	16
ISBN (Electronic)	9783319626277
ISBN (Print)	9783319626260
DOIs	https://doi.org/10.1007/978-3-319-62627-7_7
Publication status	E-pub ahead of print - 5 Oct 2017

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

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AU - Grima, Ramon

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AB - 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.

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DO - 10.1007/978-3-319-62627-7_7

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SP - 143

EP - 158

BT - Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

PB - Springer

ER -

Model reduction for stochastic reaction systems

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