Canalizing Kauffman networks: non-ergodicity and its effect on their critical behavior

Details Canalizing Kauffman networks: non-ergodicity and its effect on their critical behavior Canalizing Kauffman networks: non-ergodicity and its effect on their critical behavior

2005-04-27

arxiv.org/abs/cond-mat/0504722v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

to be published in PRL

Scientific paper

10.1103/PhysRevLett.94.218702

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.

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