Hybrid models of the cell cycle molecular machinery

Vincent Noel
(University of Rennes 1)
Dima Grigoriev
(CNRS, University of Lille)
Sergei Vakulenko
(Russian Academy of Sciences, St. Petersburg)
Ovidiu Radulescu
(University of Montpellier 2)

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.

In Ezio Bartocci and Luca Bortolussi: Proceedings First International Workshop on Hybrid Systems and Biology (HSB 2012), Newcastle Upon Tyne, 3rd September 2012, Electronic Proceedings in Theoretical Computer Science 92, pp. 88–105.
Published: 15th August 2012.

ArXived at: http://dx.doi.org/10.4204/EPTCS.92.7 bibtex PDF
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