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Poster communications

Limit cycle analysis of a class of hybrid gene regulatory networks (Poster)

Abstract : Our objective: Find limit cycles and analyze their stability in a hybrid modeling framework of gene regulatory networks [Cornillon et al. 2016] [Behaegel, Comet, Bernot, et al. 2016] [Behaegel, Comet, and Folschette 2017] which extends René Thomas' discrete modeling. Our idea: Extend Poincaré map to this hybrid framework. Our contribution: We search for potential cycles by abstracting the continuous trajectory into a succession of visited discrete domains. Then we introduce transition matrices and stable zones to analyze the concrete continuous dynamics and find the actual cycles that are stable.
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Poster communications
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Contributor : Honglu SUN Connect in order to contact the contributor
Submitted on : Wednesday, June 29, 2022 - 5:28:16 PM
Last modification on : Saturday, July 2, 2022 - 3:52:24 AM


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  • HAL Id : hal-03700402, version 1



Honglu Sun, Maxime Folschette, Morgan Magnin. Limit cycle analysis of a class of hybrid gene regulatory networks (Poster). Journées Nationales de l’Informatique Mathématique (JNIM 2022), Mar 2022, Lille, France. ⟨hal-03700402⟩



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