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arXiv · 0707.1551

Regulatory Dynamics on Random Networks: Asymptotic Periodicity and Modularity

Anne Cros·Antonio Morante·Edgardo Ugalde
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Abstract

We study the dynamics of discrete-time regulatory networks on random digraphs. For this we define ensembles of deterministic orbits of random regulatory networks, and introduce some statistical indicators related to the long-term dynamics of the system. We prove that, in a random regulatory network, initial conditions converge almost surely to a periodic attractor. We study the subnetworks, which we call modules, where the periodic asymptotic oscillations are concentrated. We proof that those modules are dynamically equivalent to independent regulatory networks.

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Anne Cros, Antonio Morante, Edgardo Ugalde. 2008-02-01. Regulatory Dynamics on Random Networks: Asymptotic Periodicity and Modularity. https://doi.org/10.1088/0951-7715%2F21%2F3%2F009

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