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Phys. Rev. Lett. 94, 218702 (2005) [4 pages]

Canalizing Kauffman Networks: Nonergodicity and Its Effect on Their Critical Behavior

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André Auto Moreira1 * and Luís A. Nunes Amaral1 †
1Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208, USA

Received 18 November 2004; published 3 June 2005

Boolean networks have been used to study numerous phenomena, including gene regulation, neural networks, social interactions, and biological evolution. Here, we propose a general method for determining the critical behavior of Boolean systems built from arbitrary ensembles of Boolean functions. In particular, we solve the critical condition for systems of units operating according to canalizing functions and present strong numerical evidence that our approach correctly predicts the phase transition from order to chaos in such systems.


©2005 The American Physical Society

URL: http://link.aps.org/doi/10.1103/PhysRevLett.94.218702
DOI: 10.1103/PhysRevLett.94.218702
PACS: 89.75.Hc, 05.45.-a, 64.60.Cn

* Electronic address: auto@northwestern.edu
† Electronic address: amaral@northwestern.edu

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