Acta Biotheoretica

, Volume 58, Issue 2–3, pp 217–232

Comparing Boolean and Piecewise Affine Differential Models for Genetic Networks

  • Madalena Chaves
  • Laurent Tournier
  • Jean-Luc Gouzé
Regular Article

DOI: 10.1007/s10441-010-9097-6

Cite this article as:
Chaves, M., Tournier, L. & Gouzé, JL. Acta Biotheor (2010) 58: 217. doi:10.1007/s10441-010-9097-6


Multi-level discrete models of genetic networks, or the more general piecewise affine differential models, provide qualitative information on the dynamics of the system, based on a small number of parameters (such as synthesis and degradation rates). Boolean models also provide qualitative information, but are based simply on the structure of interconnections. To explore the relationship between the two formalisms, a piecewise affine differential model and a Boolean model are compared, for the carbon starvation response network in E. coli. The asymptotic dynamics of both models are shown to be quite similar. This study suggests new tools for analysis and reduction of biological networks.


Boolean models Piecewise affine models Genetic networks Model reduction 

Supplementary material

10441_2010_9097_MOESM1_ESM.pdf (76 kb)
PDF (76 KB)

Copyright information

© Springer Science+Business Media B.V. 2010

Authors and Affiliations

  • Madalena Chaves
    • 1
  • Laurent Tournier
    • 2
  • Jean-Luc Gouzé
    • 1
  1. 1.INRIA, project-team COMORESophia AntipolisFrance
  2. 2.INRA, Unit MIG (UR 1077)Jouy-en-JosasFrance

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