Title :
A modified newton´s method for inverse problem of Probabilistic Boolean Networks with gene perturbations
Author :
Li, Wen ; Ching, Wai-Ki ; Cui, Lu-Bin
Author_Institution :
Sch. of Math. Sci., South China Normal Univ., Guangzhou, China
Abstract :
Modeling genetic regulatory networks is an important research issue in systems biology. Many mathematical models have been proposed, and among these models, Boolean Network (BN) and its extension Probabilistic Boolean Network (PBN) are popular. In this paper we consider the problem constructing PBNs with gene perturbations. We propose a modified Newton´s method to get the gene perturbation probability of the captured problem. Numerical experiments are given to demonstrate both effectiveness and efficiency of our proposed method.
Keywords :
Boolean algebra; Newton method; bioinformatics; genetics; inverse problems; perturbation theory; probability; gene perturbation; genetic regulatory network; inverse problem; modified Newton method; probabilistic Boolean network; systems biology; Equations; Inverse problems; Markov processes; Mathematical model; Newton method; Probabilistic logic; Steady-state; Gene Perturbation; Inversion Problem; Modify Newton´s Method; Probabilistic Boolean Networks;
Conference_Titel :
Systems Biology (ISB), 2011 IEEE International Conference on
Conference_Location :
Zhuhai
Print_ISBN :
978-1-4577-1661-4
Electronic_ISBN :
978-1-4577-1665-2
DOI :
10.1109/ISB.2011.6033150