The phase diagram of random Boolean networks with nested canalizing
functions |
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Authors: | T P Peixoto |
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Institution: | 1.Institut für Festk?rperphysik,Darmstadt,Germany |
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Abstract: | We obtain the phase diagram of random Boolean networks with
nested canalizing functions. Using the annealed approximation, we
obtain the evolution of the number b
t
of nodes with value one, and
the network sensitivity λ, and compare with numerical
simulations of quenched networks. We find that, contrary to what was
reported by Kauffman et al. Proc. Natl. Acad. Sci.
101, 17102 (2004)], these networks have a rich phase diagram, were
both the “chaotic" and frozen phases are present, as well as an
oscillatory regime of the value of b
t
. We argue that the presence
of only the frozen phase in the work of Kauffman et al. was
due simply to the specific parametrization used, and is not an
inherent feature of this class of functions. However, these networks
are significantly more stable than the variant where all possible
Boolean functions are allowed. |
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Keywords: | |
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