Response of Boolean networks to perturbations

Details Response of Boolean networks to perturbations Response of Boolean networks to perturbations

2008-01-24

arxiv.org/abs/0801.3784v1

The European Physical Journal B Volume 62, Number 3 (2008)

Physics

Condensed Matter

Statistical Mechanics

Scientific paper

10.1140/epjb/e2008-00159-0

We evaluate the probability that a Boolean network returns to an attractor after perturbing h nodes. We find that the return probability as function of h can display a variety of different behaviours, which yields insights into the state-space structure. In addition to performing computer simulations, we derive analytical results for several types of Boolean networks, in particular for Random Boolean Networks. We also apply our method to networks that have been evolved for robustness to small perturbations, and to a biological example.

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