On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems
On Differentiation and Homeostatic Behaviours of Boolean Dynamical Systems
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).
[SDV.BIBS] Life Sciences [q-bio]/Quantitative Methods [q-bio.QM], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [INFO.INFO-BI] Computer Science [cs]/Bioinformatics [q-bio.QM]
[SDV.BIBS] Life Sciences [q-bio]/Quantitative Methods [q-bio.QM], [MATH.MATH-DS] Mathematics [math]/Dynamical Systems [math.DS], [INFO.INFO-BI] Computer Science [cs]/Bioinformatics [q-bio.QM]
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