2009/10/03 by Andrew Pomerance, Pomerance, Andrew, Michelle Girvan +3
Biochemistry, Genetics and Molecular Biology · #FOS: Biological sciences #Molecular Networks (q-bio.MN) #q-bio.MN
paper · pdf · doi:10.48550/arxiv.0910.0509
20 pages, 3 figures
arxiv created 2012/02/25 · arxiv updated 2012/02/28
Boolean networks are discrete dynamical systems in which the state (zero or one) 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, non-random network topology. In the current paper we extend this previous work to account for canalizing behavior.