TY - JOUR
T1 - Canalizing Kauffman networks
T2 - Nonergodicity and its effect on their critical behavior
AU - Moreira, André Auto
AU - Amaral, Luís A.Nunes
PY - 2005/6/3
Y1 - 2005/6/3
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=27744564438&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=27744564438&partnerID=8YFLogxK
U2 - 10.1103/PhysRevLett.94.218702
DO - 10.1103/PhysRevLett.94.218702
M3 - Article
C2 - 16090358
AN - SCOPUS:27744564438
VL - 94
JO - Physical Review Letters
JF - Physical Review Letters
SN - 0031-9007
IS - 21
M1 - 218702
ER -