Modular organisation of interaction networks based on asymptotic dynamics
Discrete Mathematics
2012-01-16 v3 Biomolecules
Abstract
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.
Keywords
Cite
@article{arxiv.1111.2313,
title = {Modular organisation of interaction networks based on asymptotic dynamics},
author = {Franck Delaplace and Hanna Klaudel and Tarek Melliti and Sylvain Sené},
journal= {arXiv preprint arXiv:1111.2313},
year = {2012}
}