Quasi-potential landscape in complex multi-stable systems

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	Quasi-potential landscape in complex multi-stable systems
	Zhou, JX ; Aliyu, MDS ; Aurell, E ; Huang, S
刊名	JOURNAL OF THE ROYAL SOCIETY INTERFACE
	2012
卷号	9 期号:77 页码:3539-3553
关键词	EVOLUTION DIFFERENTIATION DYNAMICS
ISSN号	1742-5689
通讯作者	Zhou, JX (reprint author), Inst Syst Biol, Seattle, WA USA.
英文摘要	The developmental dynamics of multicellular organisms is a process that takes place in a multi-stable system in which each attractor state represents a cell type, and attractor transitions correspond to cell differentiation paths. This new understanding has revived the idea of a quasi-potential landscape, first proposed by Waddington as a metaphor. To describe development, one is interested in the 'relative stabilities' of N attractors (N > 2). Existing theories of state transition between local minima on some potential landscape deal with the exit part in the transition between two attractors in pair-attractor systems but do not offer the notion of a global potential function that relates more than two attractors to each other. Several ad hoc methods have been used in systems biology to compute a landscape in non-gradient systems, such as gene regulatory networks. Here we present an overview of currently available methods, discuss their limitations and propose a new decomposition of vector fields that permits the computation of a quasi-potential function that is equivalent to the Freidlin-Wentzell potential but is not limited to two attractors. Several examples of decomposition are given, and the significance of such a quasi-potential function is discussed.
学科主题	Physics
收录类别	SCI
资助信息	Natural Sciences and Engineering Research Council of Canada (NSERC); Canadian Institutes of Health Research (CIHR); Alberta Innovates; Institute for Systems Biology (ISB), Seattle
原文出处	http://dx.doi.org/10.1098/rsif.2012.0434
语种	英语
WOS记录号	WOS:000310573100035
公开日期	2014-04-24
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/14957]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Zhou, JX,Aliyu, MDS,Aurell, E,et al. Quasi-potential landscape in complex multi-stable systems[J]. JOURNAL OF THE ROYAL SOCIETY INTERFACE,2012,9(77):3539-3553.
APA	Zhou, JX,Aliyu, MDS,Aurell, E,&Huang, S.(2012).Quasi-potential landscape in complex multi-stable systems.JOURNAL OF THE ROYAL SOCIETY INTERFACE,9(77),3539-3553.
MLA	Zhou, JX,et al."Quasi-potential landscape in complex multi-stable systems".JOURNAL OF THE ROYAL SOCIETY INTERFACE 9.77(2012):3539-3553.