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

Phys. Rev. Lett. 94, 218702 – Published 3 June 2005
André Auto Moreira and Luís A. Nunes Amaral

Abstract

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.

DOI: http://dx.doi.org/10.1103/PhysRevLett.94.218702

  • Figure
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  • Published 3 June 2005
  • Received 18 November 2004

Authors & Affiliations

André Auto Moreira* and Luís A. Nunes Amaral

  • Department of Chemical and Biological Engineering, Northwestern University, Evanston, Illinois 60208, USA

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

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