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

Abstract

It is well known that the linear-noise approximation (LNA) exactly 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.

References in corpus (2)

• Stochastic theory of large-scale enzyme-reaction networks: Finite copy number corrections to rate equation models
• System size expansion using Feynman rules and diagrams

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