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	Mean field study of a propagation-turnover lattice model for the dynamics of histone marking
	Yao, Fan ; Li, FangTing ; Li, TieJun
	2017
关键词	histone marking contact process mean field approximation boundary layer analysis EPIGENETIC STATES LYSINE 9 METHYLATION CHROMATIN HP1 HETEROCHROMATIN CELLS H3 MECHANISM MEMORY
英文摘要	We present a mean field study of a propagation-turnover lattice model, which was proposed by Hodges and Crabtree [Proc. Nat. Acad. Sci. 109, 13296 (2012)] for understanding how posttranslational histone marks modulate gene expression in mammalian cells. The kinetics of the lattice model consists of nucleation, propagation and turnover mechanisms, and exhibits second-order phase transition for the histone marking domain. We showed rigorously that the dynamics essentially depends on a non-dimensional parameter kappa = k(+)/k(-), the ratio between the propagation and turnover rates, which has been observed in the simulations. We then studied the lowest order mean field approximation, and observed the phase transition with an analytically obtained critical parameter. The boundary layer analysis was utilized to investigate the structure of the decay profile of the mark density. We also studied the higher order mean field approximation to achieve sharper estimate of the critical transition parameter and more detailed features. The comparison between the simulation and theoretical results shows the validity of our theory.; National Natural Science Foundation of China [11174011, 11021463, 11421101, 91530322]; SCI(E); ARTICLE; 2; 60
语种	英语
出处	SCI
出版者	SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/475337]
专题	数学科学学院 物理学院 生命科学学院
推荐引用方式 GB/T 7714	Yao, Fan,Li, FangTing,Li, TieJun. Mean field study of a propagation-turnover lattice model for the dynamics of histone marking. 2017-01-01.

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