On differentiation and homeostatic behaviours of boolean dynamical systems

Authors:
Élisabeth Remy;Paul Ruet
Affiliations:
CNRS – Institut de Mathématiques de Luminy, Marseille Cedex 9, France;CNRS – Institut de Mathématiques de Luminy, Marseille Cedex 9, France
Venue:
Transactions on Computational Systems Biology VII
Year:
2006

Citing 2
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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).