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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Communication dans un congrès
IFAC World Congress, 2011, Milan, Italy. IFAC, 2011, 〈10.3182/20110828-6-IT-1002.00749〉
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https://hal.inria.fr/hal-00848374
Contributeur : Jean-Luc Gouzé <>
Soumis le : vendredi 26 juillet 2013 - 10:28:57
Dernière modification le : jeudi 11 janvier 2018 - 16:22:52

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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. IFAC, 2011, 〈10.3182/20110828-6-IT-1002.00749〉. 〈hal-00848374〉

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