Characterizing short-term stability for Boolean networks over any distribution of transfer functions

C. Seshadhri, Andrew M. Smith, Yevgeniy Vorobeychik, Jackson R. Mayo, Robert C. Armstrong
2016 Physical review. E  
We present a characterization of short-term stability of random Boolean networks under arbitrary distributions of transfer functions. Given any distribution of transfer functions for a random Boolean network, we present a formula that decides whether short-term chaos (damage spreading) will happen. We provide a formal proof for this formula, and empirically show that its predictions are accurate. Previous work only works for special cases of balanced families. It has been observed that these
more » ... racterizations fail for unbalanced families, yet such families are widespread in real biological networks.
doi:10.1103/physreve.94.012301 pmid:27575142 fatcat:c5sdnhzderf3flcsw32dpjlewe