Dynamical instability in Boolean networks as a percolation problem.

نویسندگان

  • Shane Squires
  • Edward Ott
  • Michelle Girvan
چکیده

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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عنوان ژورنال:
  • Physical review letters

دوره 109 8  شماره 

صفحات  -

تاریخ انتشار 2012