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Conference papers

Mechanisms for coexistence of two limit cycles in a biochemical model

Wassim Abou-Jaoudé 1 Madalena Chaves 1 Jean-Luc Gouzé 1 
1 BIOCORE - Biological control of artificial ecosystems
LOV - Laboratoire d'océanographie de Villefranche, CRISAM - Inria Sophia Antipolis - Méditerranée , INRA - Institut National de la Recherche Agronomique
Abstract : Recently, a differential model of the p53-Mdm2 biochemical network which shows birhythmicity has been proposed to reproduce the two experimentally observed frequencies of oscillations of p53. We analyze the mechanisms at the origin of this birhythmic behaviour. Our approach is to approximate this continuous non-linear model into a lower dimensional piecewise affine model. We build the first return map to show the occurrence of two stable coexistent limit cycles.
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Contributor : Jean-Luc Gouzé Connect in order to contact the contributor
Submitted on : Friday, July 26, 2013 - 10:28:57 AM
Last modification on : Sunday, May 1, 2022 - 3:15:04 AM



Wassim Abou-Jaoudé, Madalena Chaves, Jean-Luc Gouzé. Mechanisms for coexistence of two limit cycles in a biochemical model. IFAC World Congress, 2011, Milan, Italy. ⟨10.3182/20110828-6-IT-1002.00749⟩. ⟨hal-00848374⟩



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