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arXiv · 1509.00612

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

Ramon Grima
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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.

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Ramon Grima. 2015-09-02. The linear-noise approximation and the chemical master equation exactly agree up to second-order moments for a class of chemical systems. https://doi.org/10.1103/physreve.92.042124

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