2005/04/27 by André A. Moreira, Andre A. Moreira, Luı́s A. Nunes Amaral +1 · 76 citations
Biochemistry, Genetics and Molecular Biology · Neuroscience · Physics and Astronomy · #Algorithm #Artificial intelligence #Artificial neural network #Biology #Boolean function #Boolean network #Complex system #Computational biology #Computer science #Gene #Gene Regulatory Network Analysis #Gene regulatory network #Neural dynamics and brain function #Order (exchange) #Physics #Statistical physics #Systems biology #Theoretical computer science #cond-mat.dis-nn #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physrevlett.94.218702
published in Physical Review Letters 94(21), 218702 (American Physical Society) · to be published in PRL
arxiv created 2005/04/27 · openalex publication_date 2005/06/03 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.