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On Proving the Absence of Oscillations in Models of Genetic Circuits

  • François Boulier
  • Marc Lefranc
  • François Lemaire
  • Pierre-Emmanuel Morant
  • Aslı Ürgüplü
Part of the Lecture Notes in Computer Science book series (LNCS, volume 4545)

Abstract

Using computer algebra methods to prove that a gene regulatory network cannot oscillate appears to be easier than expected. We illustrate this claim with a family of models related to historical examples.

Keywords

Hopf Bifurcation Circadian Clock Real Root Gene Regulatory Network Negative Real Part 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2007

Authors and Affiliations

  • François Boulier
    • 1
  • Marc Lefranc
    • 2
  • François Lemaire
    • 1
  • Pierre-Emmanuel Morant
    • 2
  • Aslı Ürgüplü
    • 1
  1. 1.University Lille I, LIFL, 59655 Villeneuve d’AscqFrance
  2. 2.University Lille I, PHLAM, 59655 Villeneuve d’AscqFrance

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