Comparing Discrete and Piecewise Affine Differential Equation Models of Gene Regulatory Networks

  • Shahrad Jamshidi
  • Heike Siebert
  • Alexander Bockmayr
Part of the Lecture Notes in Computer Science book series (LNCS, volume 7223)

Abstract

We compare the discrete asynchronous logical modeling formalism for gene regulatory networks due to R. Thomas with piecewise-affine differential equation models. We show that although the two approaches are based on equivalent information, the resulting qualitative dynamics are different.

Keywords

Gene regulatory networks mathematical modeling discrete models piecewise-affine models 

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Copyright information

© Springer-Verlag Berlin Heidelberg 2012

Authors and Affiliations

  • Shahrad Jamshidi
    • 1
  • Heike Siebert
    • 1
  • Alexander Bockmayr
    • 1
  1. 1.DFG Research Center MatheonFreie Universität BerlinBerlinGermany

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