Stochastic processes with distributed delays: chemical Langevin equation and linear-noise approximation
Statistical Mechanics
2013-12-13 v2 Quantitative Methods
Abstract
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 auto-inhibition and a model of epidemic spread with delayed recovery provide evidence of the applicability of our results.
Cite
@article{arxiv.1302.7166,
title = {Stochastic processes with distributed delays: chemical Langevin equation and linear-noise approximation},
author = {Tobias Brett and Tobias Galla},
journal= {arXiv preprint arXiv:1302.7166},
year = {2013}
}
Comments
21 pages, 7 figures