Synchronization of Boolean Networks with Different Update Schemes

被引：50
作者：
Zhang, Hao [1 ]
Wang, Xingyuan [1 ]
Lin, Xiaohui [1 ]
机构：
[1] Dalian Univ Technol, Fac Elect Informat & Elect Engn, Dalian 116024, Peoples R China
来源：
IEEE-ACM TRANSACTIONS ON COMPUTATIONAL BIOLOGY AND BIOINFORMATICS | 2014年 / 11卷 / 05期
基金：
中国国家自然科学基金;
关键词：
Inner synchronization; semi-tensor product; anti-synchronization; asynchronous Boolean network; COMPLEX NETWORKS; NEURAL-NETWORKS; STABILITY; CONTROLLABILITY; REPRESENTATION; OBSERVABILITY; DYNAMICS; DELAYS;
D O I：
10.1109/TCBB.2014.2338313
中图分类号：
Q5 [生物化学];
学科分类号：
071010 ; 081704 ;
摘要：
In this paper, the synchronizations of Boolean networks with different update schemes (synchronized Boolean networks and asynchronous Boolean networks) are investigated. All nodes in Boolean network are represented in terms of semi-tensor product. First, we give the concept of inner synchronization and observe that all nodes in a Boolean network are synchronized with each other. Second, we investigate the outer synchronization between a driving Boolean network and a corresponding response Boolean network. We provide not only the concept of traditional complete synchronization, but also the anti-synchronization and get the anti-synchronization in simulation. Third, we extend the outer synchronization to asynchronous Boolean network and get the complete synchronization between an asynchronous Boolean network and a response Boolean network. Consequently, theorems for synchronization of Boolean networks and asynchronous Boolean networks are derived. Examples are provided to show the correctness of our theorems.
引用
收藏
页码：965 / 972
页数：8
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