Dynamical Instability in Boolean Networks as a Percolation Problem
Statistical Mechanics
2013-05-30 v2 Biological Physics
Molecular Networks
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.
Cite
@article{arxiv.1201.1595,
title = {Dynamical Instability in Boolean Networks as a Percolation Problem},
author = {Shane Squires and Edward Ott and Michelle Girvan},
journal= {arXiv preprint arXiv:1201.1595},
year = {2013}
}