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Communication Dans Un Congrès Année : 2012

Hybrid models of the cell cycle molecular machinery

Résumé

Piecewise smooth hybrid systems, involving continuous and discrete variables, are suitable models for describing the multiscale regulatory machinery of the biological cells. In hybrid models, the discrete variables can switch on and off some molecular interactions, simulating cell progression through a series of functioning modes. The advancement through the cell cycle is the archetype of such an organized sequence of events. We present an approach, inspired from tropical geometry ideas, allowing to reduce, hybridize and analyse cell cycle models consisting of polynomial or rational ordinary differential equations.

Dates et versions

hal-00770222 , version 1 (04-01-2013)

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Vincent Noël, Dima Grigoriev, Sergey A. Vakulenko, Ovidiu Radulescu. Hybrid models of the cell cycle molecular machinery. Hybrid Systems and Biology (HSB 2012), Sep 2012, Newcastle, United States. pp.88-105, ⟨10.4204/EPTCS.92⟩. ⟨hal-00770222⟩
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