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On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems

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Transactions on Computational Systems Biology VII

Part of the book series: Lecture Notes in Computer Science ((TCSB,volume 4230))

Abstract

We study rules proposed by the biologist R. Thomas relating the structure of a concurrent system of interacting genes (represented by a signed directed graph called a regulatory graph) with its dynamical properties. We prove that the results in [10] are stable under projection, and this enables us to relax the assumptions under which they are valid. More precisely, we relate here the presence of a positive (resp. negative) circuit in a regulatory graph to a more general form of biological differentiation (resp. of homeostasis).

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Authors and Affiliations

  1. CNRS – Institut de Mathématiques de Luminy, 163 avenue de Luminy, Case 907, 13288, Marseille Cedex 9, France

    Élisabeth Remy & Paul Ruet

Authors
  1. Élisabeth Remy
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  2. Paul Ruet
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Editor information

Editors and Affiliations

  1. Centre for Computational and Systems Biology, The Microsoft Research - University of Trento, Piazza Manci, 17, 38050, Povo, (TN), Italy

    Corrado Priami

  2. Department of Computer Science, Reykjavík University, Kringlan 1, IS-103, Reykjavík, Iceland

    Anna Ingólfsdóttir

  3. Courant Institute of Mathematical Sciences, 10012, New York, NY, USA

    Bud Mishra

  4. Informatics and Mathematical Modelling, Technical University of Denmark,  

    Hanne Riis Nielson

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Remy, É., Ruet, P. (2006). On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems. In: Priami, C., Ingólfsdóttir, A., Mishra, B., Riis Nielson, H. (eds) Transactions on Computational Systems Biology VII. Lecture Notes in Computer Science(), vol 4230. Springer, Berlin, Heidelberg. https://doi.org/10.1007/11905455_8

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  • DOI: https://doi.org/10.1007/11905455_8

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-48837-8

  • Online ISBN: 978-3-540-48839-2

  • eBook Packages: Computer ScienceComputer Science (R0)

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