Canalizing Kauffman networks: Nonergodicity and its effect on their critical behavior

André Auto Moreira*, Luís A.Nunes Amaral

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

52 Scopus citations

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.

Original languageEnglish (US)
Article number218702
JournalPhysical review letters
Volume94
Issue number21
DOIs
StatePublished - Jun 3 2005

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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