Stability of Boolean networks with generalized canalizing rules.
Boolean networks are discrete dynamical systems in which the state (0 or 1) of each node is updated at each time t to a state determined by the states at time t-1 of those nodes that have links to it. When these systems are used to model genetic control, the case of canalizing update rules is of particular interest. A canalizing rule is one for which a node state at time t is determined by the state at time t-1 of a single one of its inputs when that inputting node is in its canalizing state. Previous work on the order-disorder transition in Boolean networks considered complex, nonrandom network topology. In the current paper we extend this previous work to account for canalizing behavior.
Institute for Research in Electronics and Applied Physics and University of Maryland, College Park, Maryland 20752, USA. pomeranc@umd.edu
Andrew
A
Pomerance
Michelle
M
Girvan
Ed
E
Ott
D000465:Algorithms; D001499:Bayes Theorem; D001703:Biophysics / Q000379:methods*; D019295:Computational Biology / Q000379:methods; D005786:Gene Expression Regulation; D008957:Models, Genetic; D015233:Models, Statistical; D008962:Models, Theoretical; D017711:Nonlinear Dynamics; D011336:Probability