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对于一类化学系统，线性噪声近似和化学主方程在二阶矩之前是一致的。

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

作者信息

Grima Ramon

机构信息

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

出版信息

Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Oct;92(4):042124. doi: 10.1103/PhysRevE.92.042124. Epub 2015 Oct 12.

DOI:10.1103/PhysRevE.92.042124
PMID:26565185
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.

摘要

众所周知，对于由零阶和一阶反应组成的化学系统，线性噪声近似（LNA）在二阶矩以内与化学主方程一致。在此我们表明，对于具有二阶反应的化学系统的一个子集，这也是LNA的一个特性。这种一致性与相互作用分子的数量无关。

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