4 papers
Strong modules and asynchronous attractors of Boolean networks
Paul Ruet
We consider Boolean networks with interaction graphs partitioned into strongly connected components, which we call strong modules. This type of network decomposition has been consi…
From multivalued to Boolean functions: preservation of soft nested canalization
Élisabeth Remy, Paul Ruet
Nested canalization (NC) is a property of Boolean functions which has been recently extended to multivalued functions. We study the effect of the Van Ham mapping (from multivalued…
Average sensitivity of nested canalizing multivalued functions
Élisabeth Remy, Paul Ruet
The canalizing properties of biological functions have been mainly studied in the context of Boolean modelling of gene regulatory networks. An important mathematical consequence of…
Negative local feedbacks in Boolean networks
Paul Ruet
We study the asymptotic dynamical properties of Boolean networks without local negative cycle. While the properties of Boolean networks without local cycle or without local positiv…