王磊

个人信息Personal Information

教授

博士生导师

硕士生导师

主要任职:教务处副处长兼通识与基础教育中心主任

其他任职:石河子大学理学院院长(援疆)

性别:男

毕业院校:大连理工大学

学位:博士

所在单位:数学科学学院

学科:运筹学与控制论

电子邮箱:wanglei@dlut.edu.cn

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A note on Monostability and Bistability of Boolean Networks Based on Structure Graphs

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论文类型:会议论文

发表时间:2017-09-19

收录刊物:SCIE、EI、CPCI-S、Scopus

卷号:2017-November

页面范围:1153-1158

关键字:Boolean networks; structure graph; component dynamics; monostable or bistable

摘要:This paper addresses monostability and bistability of Boolean networks which described by the network structure and the component dynamics based on structure graphs. First of all, this paper is unfolded with the identification the unstable Boolean network in accordance with a particular property of structure graphs. Provided this property could be satisfied, then any component dynamics cannot make this network monostable or bistable. Subsequently, the paper proposes a specific condition based on structure graphs. If this condition could be satisfied, then at least one component dynamics can make corresponding Boolean network monostable or bistable. The above-mentioned property and condition of judging the stability of Boolean networks are very useful for studying the properties of component dynamics units of Boolean networks. Finally, several examples are presented to verify our conclusions.