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	Synchronized dynamics and non-equilibrium steady states in a stochastic yeast cell-cycle network
	Ge, Hao ; Qian, Hong ; Qian, Min
	2008
关键词	Boltzmann machine circulation theory Hopfield network non-equilibrium steady state synchronization yeast cell cycle FOKKER-PLANCK EQUATIONS BUDDING YEAST SYSTEMS FLUCTUATIONS BEHAVIOR FORMULA NEURONS MODEL TIME
英文摘要	Applying the mathematical circulation theory of Markov chains, we investigate the synchronized stochastic dynamics of a discrete network model of yeast cell-cycle regulation where stochasticity has been kept rather than being averaged out. By comparing the network dynamics of the stochastic model with its corresponding deterministic network counterpart, we show that the synchronized dynamics can be soundly characterized by a dominant circulation in the stochastic model, which is the natural generalization of the deterministic limit cycle in the deterministic system. Moreover, the period of the main peak in the power spectrum.. which is in common use to characterize the synchronized dynamics, perfectly corresponds to the number of states in the main cycle with dominant circulation. Such a large separation in the magnitude of the circulations, between a dominant, main cycle and the rest, gives rise to the stochastic synchronization phenomenon. (c) 2007 Elsevier Inc. All rights reserved.; http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000253029900007&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701 ; Biology; Mathematical & Computational Biology; SCI(E); EI; PubMed; 14; ARTICLE; 1; 132-152; 211
语种	英语
出处	EI ; PubMed ; SCI
出版者	数理生物科学
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157250]
专题	数学科学学院
推荐引用方式 GB/T 7714	Ge, Hao,Qian, Hong,Qian, Min. Synchronized dynamics and non-equilibrium steady states in a stochastic yeast cell-cycle network. 2008-01-01.

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