Modular organisation of interaction networks based on asymptotic dynamics

Details Modular organisation of interaction networks based on asymptotic dynamics Modular organisation of interaction networks based on asymptotic dynamics

2011-11-09

arxiv.org/abs/1111.2313v3

Computer Science

Discrete Mathematics

Scientific paper

This paper investigates questions related to the modularity in discrete models of biological interaction networks. We develop a theoretical framework based on the analysis of their asymptotic dynamics. More precisely, we exhibit formal conditions under which agents of interaction networks can be grouped into modules. As a main result, we show that the usual decomposition in strongly connected components fulfils the conditions of being a modular organisation. Furthermore, we point out that our framework enables a finer analysis providing a decomposition in elementary modules.

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