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	Oscillatory activities in regulatory biological networks and hopf bifurcation
	Yan Shi-Wei; Wang Qi; Xie Bai-Song; Zhang Feng-Shou
刊名	Chinese physics letters
	2007-06-01
卷号	24期号:6页码:1771-1774
ISSN号	0256-307X
通讯作者	Yan shi-wei(yansw@bnu.edu.cn)
英文摘要	Exploiting the nonlinear dynamics in the negative feedback loop, we propose a statistical signal-response model to describe the different oscillatory behaviour in a biological network motif. by choosing the delay as a bifurcation parameter, we discuss the existence of hopf bifurcation and the stability of the periodic solutions of model equations with the centre manifold theorem and the normal form theory. it is shown that a periodic solution is born in a hopf bifurcation beyond a critical time delay, and thus the bifurcation phenomenon may be important to elucidate the mechanism of oscillatory activities in regulatory biological networks.
WOS关键词	P53-MDM2 INTERACTION ; P53 ; CELLS ; TIME ; MDM2 ; EXPRESSION ; MODEL
WOS研究方向	Physics
WOS类目	Physics, Multidisciplinary
语种	英语
出版者	IOP PUBLISHING LTD
WOS记录号	WOS:000247045400093
内容类型	期刊论文
URI标识	http://www.corc.org.cn/handle/1471x/2175851
专题	高能物理研究所
通讯作者	Yan Shi-Wei
作者单位	1.Beijing Normal Univ, Inst Low Energy Nucl Phys, Minist Educ, Key Lab Beam Technol & Mat Modificat, Beijing 100875, Peoples R China 2.Natl Lab Heavy Ion Accelerator Lanzhou, Ctr Theoret Phys, Lanzhou 730000, Peoples R China 3.Beijing Radiat Ctr, Beijing 100875, Peoples R China
推荐引用方式 GB/T 7714	Yan Shi-Wei,Wang Qi,Xie Bai-Song,et al. Oscillatory activities in regulatory biological networks and hopf bifurcation[J]. Chinese physics letters,2007,24(6):1771-1774.
APA	Yan Shi-Wei,Wang Qi,Xie Bai-Song,&Zhang Feng-Shou.(2007).Oscillatory activities in regulatory biological networks and hopf bifurcation.Chinese physics letters,24(6),1771-1774.
MLA	Yan Shi-Wei,et al."Oscillatory activities in regulatory biological networks and hopf bifurcation".Chinese physics letters 24.6(2007):1771-1774.

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