Linear-noise approximation and the chemical master equation agree up to second-order moments for a class of chemical systems

Ramon Grima
Phys. Rev. E 92, 042124 – Published 12 October 2015

Abstract

It is well known that the linear-noise approximation (LNA) agrees with the chemical master equation, up to second-order moments, for chemical systems composed of zero and first-order reactions. Here we show that this is also a property of the LNA for a subset of chemical systems with second-order reactions. This agreement is independent of the number of interacting molecules.

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  • Received 5 March 2015
  • Revised 29 June 2015

DOI:https://doi.org/10.1103/PhysRevE.92.042124

©2015 American Physical Society

Authors & Affiliations

Ramon Grima

  • School of Biological Sciences, University of Edinburgh, United Kingdom

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Vol. 92, Iss. 4 — October 2015

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