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).
Corrected version of the paper published in the Transactions on Computational Systems Biology VII, Springer LNCS 4230: 153-162, 2006.
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Remy, É., Ruet, P. (2007). On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems. In: Priami, C. (eds) Transactions on Computational Systems Biology VIII. Lecture Notes in Computer Science(), vol 4780. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-76639-1_6
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DOI: https://doi.org/10.1007/978-3-540-76639-1_6
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