Title :
Structure of block sequential update Boolean networks
Author :
Li Zhiqiang ; Xiao Huimin
Author_Institution :
Dept. of Math. & Inf. Sci., Henan Univ. of Econ. & Law, Zhengzhou, China
Abstract :
In this paper, we discuss the structure of block sequential Boolean network. Block sequential Boolean networks are a class of Boolean networks under different update schemes, which contain serial Boolean networks and parallel Boolean networks as special cases. First, the structure matrix of block sequential Boolean network is obtained and based on the structure matrix, we give a formula for the number of cycles. The formula we obtained is based on the eigenvector of the structure matrix.
Keywords :
Boolean functions; biology; eigenvalues and eigenfunctions; genetics; matrix algebra; network theory (graphs); Boolean network structure; block sequential update Boolean networks; eigenvector; gene regulatory network; parallel Boolean networks; serial Boolean networks; structure matrix; update schemes; Artificial neural networks; Biological system modeling; Controllability; Educational institutions; Matrix converters; Presses; Block Sequential Boolean Network; Boolean Network; Eigenvector; Semi-tensor Product;
Conference_Titel :
Control Conference (CCC), 2013 32nd Chinese
Conference_Location :
Xi´an
