期刊
PHYSICAL REVIEW LETTERS
卷 110, 期 25, 页码 -出版社
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevLett.110.250601
关键词
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资金
- EPSRC
- RCUK [EP/E500048/1]
- Engineering and Physical Sciences Research Council [1086864] Funding Source: researchfish
We develop a systematic approach to the linear-noise approximation for stochastic reaction systems with distributed delays. Unlike most existing work our formalism does not rely on a master equation; instead it is based upon a dynamical generating functional describing the probability measure over all possible paths of the dynamics. We derive general expressions for the chemical Langevin equation for a broad class of non-Markovian systems with distributed delay. Exemplars of a model of gene regulation with delayed autoinhibition and a model of epidemic spread with delayed recovery provide evidence of the applicability of our results.
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