Luís A. Nunes Amaral
Professor of Engineering Sciences and Applied Mathematics
Professor of Medicine (by courtesy)
Professor of Molecular Biosciences (by courtesy)
Professor of Physics & Astronomy (by courtesy)
Chemical & Biological Engineering
2145 Sheridan Road (Room E136)
Evanston, IL 60208, US
Phone:
(847) 491-7850
Canalizing Kauffman networks: Nonergodicity and its effect on their critical behavior
Physical Review Letters 94, 218702 (2005)
Times cited: 38
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.