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Boolean Dynamics of Compound Regulatory circuits

In: Dynamics of Mathematical Models in Biology

Author

Listed:
  • Elisabeth Remy

    (Centrale Marseille, Aix Marseille Université, CNRS)

  • Brigitte Mossé

    (Centrale Marseille, Aix Marseille Université, CNRS)

  • Denis Thieffry

    (Institut de Biologie de l’Ecole Normale Supérieure (IBENS), CNRS UMR8197, INSERM U1024, Ecole Normale Supérieure, PSL Research University, Computational Systems Biology team)

Abstract

In biological regulatory networks represented in terms of signed, directed graphs, topological motifs such as circuits are known to play key dynamical roles. After reviewing established results on the roles of simple motifs, we present novel results on the dynamical impact of the addition of a short-cut in a regulatory circuit. More precisely, based on a Boolean formalisation of regulatory graphs, we provide complete descriptions of the discrete dynamics of particular motifs, under the synchronous and asynchronous updating schemes. These motifs are made of a circuit of arbitrary length, combining positive and negative interactions in any sequence, and are including a short-cut, and hence a smaller embedded circuit.

Suggested Citation

  • Elisabeth Remy & Brigitte Mossé & Denis Thieffry, 2016. "Boolean Dynamics of Compound Regulatory circuits," Springer Books, in: Alessandra Rogato & Valeria Zazzu & Mario Guarracino (ed.), Dynamics of Mathematical Models in Biology, pages 43-53, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-45723-9_4
    DOI: 10.1007/978-3-319-45723-9_4
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