Modeling and Analysis of Gene Regulatory Networks

  • Gilles Bernot
  • Jean-Paul Comet
  • Adrien Richard
  • Madalena Chaves
  • Jean-Luc Gouzé
  • Frédéric Dayan
Chapter

Abstract

This chapter describes basic principles for modeling genetic regulatory networks, using three different classes of formalisms: discrete, hybrid, and continuous differential systems. A short review of the mathematical tools for each formalism is presented. Based on several simple examples, which are worked out in detail, this chapter illustrates the study and analysis of the networks’ dynamics, their temporal evolution and asymptotic behaviors.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2013

Authors and Affiliations

  • Gilles Bernot
    • 1
  • Jean-Paul Comet
    • 1
  • Adrien Richard
    • 1
  • Madalena Chaves
    • 2
  • Jean-Luc Gouzé
    • 2
  • Frédéric Dayan
    • 3
  1. 1.I3S – UMR 6070 CNRS/UNSA, Algorithmes-Euclide-BSophia AntipolisFrance
  2. 2.Inria Sophia Antipolis MéditerranéeBiocore project-teamSophia AntipolisFrance
  3. 3.SOBIOS SAValbonne Sophia AntipolisFrance

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