1201.1595 (Shane Squires et al.)

Dynamical Instability in Boolean Networks as a Percolation Problem    [PDF]

Shane Squires, Edward Ott, Michelle Girvan

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.

View original: http://arxiv.org/abs/1201.1595