Modular Random Boolean Networks

Nonlinear Sciences – Cellular Automata and Lattice Gases

Scientific paper

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33 pages, 14 figures, 11 tables. Corrected version, added experiments with large networks confirming results. Accepted in Arti

Scientific paper

10.1162/artl_a_00042

Random Boolean networks (RBNs) have been a popular model of genetic regulatory networks for more than four decades. However, most RBN studies have been made with random topologies, while real regulatory networks have been found to be modular. In this work, we extend classical RBNs to define modular RBNs. Statistical experiments and analytical results show that modularity has a strong effect on the properties of RBNs. In particular, modular RBNs have more attractors and are closer to criticality when chaotic dynamics would be expected, compared to classical RBNs.

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