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

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Part of the Lecture Notes in Computer Science book series (LNTCS,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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© 2012 Springer-Verlag Berlin Heidelberg

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Jamshidi, S., Siebert, H., Bockmayr, A. (2012). Comparing Discrete and Piecewise Affine Differential Equation Models of Gene Regulatory Networks. In: Lones, M.A., Smith, S.L., Teichmann, S., Naef, F., Walker, J.A., Trefzer, M.A. (eds) Information Processign in Cells and Tissues. IPCAT 2012. Lecture Notes in Computer Science, vol 7223. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-28792-3_3

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  • DOI: https://doi.org/10.1007/978-3-642-28792-3_3

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-28791-6

  • Online ISBN: 978-3-642-28792-3

  • eBook Packages: Computer ScienceComputer Science (R0)