ITP OpenIR  > SCI期刊论文
Zhou, JX; Aliyu, MDS; Aurell, E; Huang, S; Zhou, JX (reprint author), Inst Syst Biol, Seattle, WA USA.
Quasi-potential landscape in complex multi-stable systems
Source PublicationJOURNAL OF THE ROYAL SOCIETY INTERFACE
Language英语
KeywordEvolution Differentiation Dynamics
AbstractThe 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.
2012
ISSN1742-5689
Volume9Issue:77Pages:3539-3553
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNatural Sciences and Engineering Research Council of Canada (NSERC); Canadian Institutes of Health Research (CIHR); Alberta Innovates; Institute for Systems Biology (ISB), Seattle ; Natural Sciences and Engineering Research Council of Canada (NSERC); Canadian Institutes of Health Research (CIHR); Alberta Innovates; Institute for Systems Biology (ISB), Seattle ; Natural Sciences and Engineering Research Council of Canada (NSERC); Canadian Institutes of Health Research (CIHR); Alberta Innovates; Institute for Systems Biology (ISB), Seattle ; Natural Sciences and Engineering Research Council of Canada (NSERC); Canadian Institutes of Health Research (CIHR); Alberta Innovates; Institute for Systems Biology (ISB), Seattle
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Cited Times:77[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/14957
CollectionSCI期刊论文
Corresponding AuthorZhou, JX (reprint author), Inst Syst Biol, Seattle, WA USA.
Recommended Citation
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,&Zhou, JX .(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.
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