Title |
Classification of transient behaviours in a time-dependent toggle switch model
|
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Published in |
BMC Systems Biology, April 2014
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DOI | 10.1186/1752-0509-8-43 |
Pubmed ID | |
Authors |
Berta Verd, Anton Crombach, Johannes Jaeger |
Abstract |
Waddington's epigenetic landscape is an intuitive metaphor for the developmental and evolutionary potential of biological regulatory processes. It emphasises time-dependence and transient behaviour. Nowadays, we can derive this landscape by modelling a specific regulatory network as a dynamical system and calculating its so-called potential surface. In this sense, potential surfaces are the mathematical equivalent of the Waddingtonian landscape metaphor. In order to fully capture the time-dependent (non-autonomous) transient behaviour of biological processes, we must be able to characterise potential landscapes and how they change over time. However, currently available mathematical tools focus on the asymptotic (steady-state) behaviour of autonomous dynamical systems, which restricts how biological systems are studied. |
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