Design of Probabilistic Boolean Networks Based on Network Structure and Steady-state Probabilities

摘要

In this paper, we consider the problem of finding a probabilistic Boolean network (PBN) based on network structure and desired steady-state properties. The problem of finding a Boolean network (BN) has been studied so far. However, in the problem of finding a PBN, we must calculate not only Boolean functions, but also the probabilities of selecting a Boolean function and the number of candidates of Boolean functions. Hence, the problem of finding a PBN is more difficult than that of finding a BN. Using a matrix-based representation of PBNs, a solution method for this problem is proposed.