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Model Reduction for Stochastic Reaction Systems

In: Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology

Author

Listed:
  • Stephen Smith

    (University of Edinburgh, School of Biological Sciences)

  • Ramon Grima

    (University of Edinburgh, School of Biological Sciences)

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.

Suggested Citation

  • Stephen Smith & Ramon Grima, 2017. "Model Reduction for Stochastic Reaction Systems," Springer Books, in: David Holcman (ed.), Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology, pages 143-158, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-62627-7_7
    DOI: 10.1007/978-3-319-62627-7_7
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