Title :
A way of reconstructing the continuous-time dynamical model of PBNs
Author :
Hu, Zhibin ; Zhou, Xiaobo ; Yan, Xiaohong
Author_Institution :
Coll. of Sci., Nanjing Univ. of Aeronaut. & Astronaut., China
Abstract :
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.
Keywords :
Boolean algebra; Markov processes; continuous time systems; genetics; PBN; Poisson process; continuous-time homogeneous Markov process dynamical model; Bayesian methods; Bioinformatics; Educational institutions; Genetics; Hospitals; Markov processes; Neural networks; Predictive models; Radiology; Sampling methods; Markov chain; Poisson process; Probabilistic Boolean networks; Regular Process; dynamical model of PBNs;
Conference_Titel :
Intelligent Signal Processing and Communication Systems, 2005. ISPACS 2005. Proceedings of 2005 International Symposium on
Print_ISBN :
0-7803-9266-3
DOI :
10.1109/ISPACS.2005.1595448
