Dynamical Instability in Boolean Networks as a Percolation Problem

Details Dynamical Instability in Boolean Networks as a Percolation Problem Dynamical Instability in Boolean Networks as a Percolation Problem

2012-01-08

arxiv.org/abs/1201.1595v1

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

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.

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