Hybrid models of the cell cycle molecular machinery

Autor: Ovidiu Radulescu, Sergei Vakulenko, Dima Grigoriev, Vincent Noel
Jazyk: angličtina
Rok vydání: 2012
Předmět:
Zdroj: Electronic Proceedings in Theoretical Computer Science, Vol 92, Iss Proc. HSB 2012, Pp 88-105 (2012)
Druh dokumentu: article
ISSN: 2075-2180
DOI: 10.4204/EPTCS.92.7
Popis: 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.
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