The phase diagram of random Boolean networks with nested canalizing functions

Details The phase diagram of random Boolean networks with nested canalizing functions The phase diagram of random Boolean networks with nested canalizing functions

2010-07-20

arxiv.org/abs/1007.3411v1

Eur. Phys. J. B 78, 2, 187-192 (2010)

Physics

Biological Physics

6 pages, 4 figures

Scientific paper

10.1140/epjb/e2010-10559-0

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 $\lambda$, and we compare with numerical simulations of quenched networks. We find that, contrary to what was reported by Kauffman et al. [Proc. Natl. Acad. Sci. 2004 101 49 17102-7], 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 variants where all possible Boolean functions are allowed.

Affiliated with

Also associated with

No associations

Rating

The phase diagram of random Boolean networks with nested canalizing functions does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The phase diagram of random Boolean networks with nested canalizing functions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The phase diagram of random Boolean networks with nested canalizing functions will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125912