A way of reconstructing the continuous-time dynamical model of PBNs

Based on the hypothesis that the number of state renewals of PBNs in (0,t] is a Poisson process, A way is proposed to reconstruct the continuous-time homogeneous Markov process dynamical model of PBNs from a homogeneous Markov chain dynamical model of PBNs. The matrix of transition probabilities of the reconstructed Markov processes is given. It is concluded that the reconstructed Markov process is a regular process and from the conclusion a few results of long-run behavior of the reconstructed Markov process are derived. These results demonstrate the reconstructed Markov processes dynamical model of PBNs is reasonable.