Hybrid models of the cell cycle molecular machinery

Noël, Vincent; Grigoriev, Dima; Vakulenko, Sergey A.; Radulescu, Ovidiu

Document type :

Communication dans un congrès avec actes

DOI :

10.4204/EPTCS.92

Title :

Hybrid models of the cell cycle molecular machinery

Author(s) :

Noël, Vincent [Auteur]
Institut de Recherche Mathématique de Rennes [IRMAR]
Grigoriev, Dima [Auteur]
Laboratoire Paul Painlevé - UMR 8524 [LPP]
Vakulenko, Sergey A. [Auteur]
St Petersburg State University [SPbU]
Radulescu, Ovidiu [Auteur]
Département de Mathématiques [Montpellier]

Scientific editor(s) :

Ezio Bartocci and Luca Bortolussi

Conference title :

Hybrid Systems and Biology (HSB 2012)

City :

Newcastle

Country :

Etats-Unis d'Amérique

Start date of the conference :

2012-09-03

Publication date :

2012

HAL domain(s) :

Mathématiques [math]/Systèmes dynamiques [math.DS]

English abstract : [en]

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 ...
Show more >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.Show less >

Language :

Anglais

Peer reviewed article :

Oui

Audience :

Internationale

Popular science :

Non

Comment :

In Proceedings HSB 2012, arXiv:1208.3151

Collections :

Laboratoire Paul Painlevé - UMR 8524

Source :

Harvested from HAL

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