title: Redundancy and error resilience in Boolean networks.
abstract: We consider the effect of noise in sparse Boolean networks with redundant functions. We show that they always exhibit a nonzero error level, and the dynamics undergoes a phase transition from nonergodicity to ergodicity, as a function of noise, after which the system is no longer capable of preserving a memory of its initial state. We obtain upper bounds on the critical value of noise for networks of different sparsity.
authors.affiliation: Institut für Festkörperphysik, TU Darmstadt, Hochschulstrasse 6, 64289 Darmstadt, Germany. tiago@fkp.tu-darmstadt.de
authors.forename: Tiago P
authors.initials: TP
authors.lastname: Peixoto
mesh_terms: D053263:Gene Regulatory Networks; D008957:Models, Genetic