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Quasi-potential lan...
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Zhou, Joseph Xu
(författare)
Quasi-potential landscape in complex multi-stable systems
- Artikel/kapitelEngelska2012
Förlag, utgivningsår, omfång ...
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2012-08-29
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The Royal Society,2012
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printrdacarrier
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LIBRIS-ID:oai:DiVA.org:kth-107063
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https://urn.kb.se/resolve?urn=urn:nbn:se:kth:diva-107063URI
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https://doi.org/10.1098/rsif.2012.0434DOI
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Språk:engelska
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Sammanfattning på:engelska
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Ämneskategori:ref swepub-contenttype
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Ämneskategori:art swepub-publicationtype
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QC 20121207
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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.
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Biuppslag (personer, institutioner, konferenser, titlar ...)
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Aliyu, M. D. S.
(författare)
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Aurell, ErikKTH,Beräkningsbiologi, CB(Swepub:kth)u1uc9cqo
(författare)
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Huang, Sui
(författare)
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KTHBeräkningsbiologi, CB
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:Journal of the Royal Society Interface: The Royal Society9:77, s. 3539-35531742-56891742-5662
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