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题名: Quasi-potential landscape in complex multi-stable systems
作者: Zhou, JX ;  Aliyu, MDS ;  Aurell, E ;  Huang, S
刊名: JOURNAL OF THE ROYAL SOCIETY INTERFACE
出版日期: 2012
卷号: 9, 期号:77, 页码:3539-3553
关键词: EVOLUTION ;  DIFFERENTIATION ;  DYNAMICS
学科分类: Physics
通讯作者: Zhou, JX (reprint author), Inst Syst Biol, Seattle, WA USA.
部门归属: [Zhou, Joseph Xu; Huang, Sui] Inst Syst Biol, Seattle, WA USA; [Zhou, Joseph Xu; Huang, Sui] Univ Calgary, Inst Biocomplex & Informat, Calgary, AB, Canada; [Aliyu, M. D. S.] Univ Calgary, Dept Math & Stat, Calgary, AB T2N 1N4, Canada; [Aurell, Erik] KTH, Dept Computat Biol, Stockholm, Sweden; [Zhou, Joseph Xu; Aurell, Erik; Huang, Sui] Chinese Acad Sci, Kavli Inst Theoret Phys China, Beijing, Peoples R China
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.
资助者: Natural Sciences and Engineering Research Council of Canada (NSERC); Canadian Institutes of Health Research (CIHR); Alberta Innovates; Institute for Systems Biology (ISB), Seattle
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000310573100035
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/14957
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
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.
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