title: Dynamical instability in Boolean networks as a percolation problem.
abstract: Boolean networks, widely used to model gene regulation, exhibit a phase transition between regimes in which small perturbations either die out or grow exponentially. We show and numerically verify that this phase transition in the dynamics can be mapped onto a static percolation problem which predicts the long-time average Hamming distance between perturbed and unperturbed orbits.
authors.affiliation: Department of Physics, University of Maryland, College Park, Maryland 20742, USA. squires@umd.edu
authors.forename: Shane
authors.initials: S
authors.lastname: Squires
authors.forename: Edward
authors.initials: E
authors.lastname: Ott
authors.forename: Michelle
authors.initials: M
authors.lastname: Girvan