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arXiv · 1201.1595

Dynamical Instability in Boolean Networks as a Percolation Problem

Shane Squires·Edward Ott·Michelle Girvan
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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.

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BibTeXRIS

Shane Squires, Edward Ott, Michelle Girvan. 2012-01-08. Dynamical Instability in Boolean Networks as a Percolation Problem. https://doi.org/10.1103/physrevlett.109.085701

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