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	Two-scale large deviations for chemical reaction kinetics through second quantization path integral
	Li, Tiejun ; Lin, Feng
	2016
关键词	two-scale large deviations second quantization path integral mean-field limit chemical Langevin approximation singular perturbation Michaelis-Menten PRINCIPLE SYSTEM SDES
英文摘要	Motivated by the study of rare events for a typical genetic switching model in systems biology, in this paper we aim to establish the general two-scale large deviations for chemical reaction systems. We build a formal approach to explicitly obtain the large deviation rate functionals for the considered two-scale processes based upon the second quantization path integral technique. We get three important types of large deviation results when the underlying two timescales are in three different regimes. This is realized by singular perturbation analysis to the rate functionals obtained by the path integral. We find that the three regimes possess the same deterministic mean-field limit but completely different chemical Langevin approximations. The obtained results are natural extensions of the classical large volume limit for chemical reactions. We also discuss its implication on the single-molecule Michaelis-Menten kinetics. Our framework and results can be applied to understand general multi-scale systems including diffusion processes.; NSFC [11171009, 11421101, 91130005, 91530322]; National Science Foundation for Excellent Young Scholars [11222114]; SCI(E); ARTICLE; tieli@pku.edu.cn; math_linfeng@pku.edu.cn; 13; 49
语种	英语
出处	SCI
出版者	JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/438406]
专题	数学科学学院
推荐引用方式 GB/T 7714	Li, Tiejun,Lin, Feng. Two-scale large deviations for chemical reaction kinetics through second quantization path integral. 2016-01-01.

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