Quasi-potential landscape in complex multi-stable systems
文献类型:期刊论文
作者 | Zhou, JX ; Aliyu, MDS ; Aurell, E ; Huang, S |
刊名 | JOURNAL OF THE ROYAL SOCIETY INTERFACE
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出版日期 | 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 |
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. |
入库方式: OAI收割
来源:理论物理研究所
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