张仁权
107

个人信息Personal Information

副教授

博士生导师

硕士生导师

性别:男

毕业院校:北京航空航天大学

学位:博士

所在单位:数学科学学院

学科:计算数学

办公地点:数学科学学院大楼307

电子邮箱:zhangrenquan@dlut.edu.cn

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On the stability of multilayer Boolean networks under targeted immunization

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论文类型:期刊论文

发表时间:2019-01-01

发表刊物:CHAOS

收录刊物:SCIE、Scopus

卷号:29

期号:1

ISSN号:1054-1500

摘要:In this paper, we study targeted immunization in a multilayer Boolean network model for genetic regulatory networks. Given a specific set of nodes immune to perturbations, we find that the stability of a multilayer Boolean network is determined by the largest eigenvalue of the weighted non-backtracking matrix of corresponding aggregated network. Aimed to minimize this largest eigenvalue, we developed the metric of multilayer collective influence (MCI) to quantify the impact of immunizing individual nodes on the stability of the system. Compared with other competing heuristics, immunizing nodes with high MCI scores can stabilize an unstable multilayer network with higher efficiency on both synthetic and real-world networks. Moreover, despite that coupling nodes can exert direct influence across multiple layers, they are found to exhibit less importance as measured by the MCI score. Our work reveals the mechanism of maintaining the stability of multilayer Boolean networks and provides an efficient targeted immunization strategy, which can be potentially applied to the location of pathogenesis of diseases and the development of targeted therapy. Published under license by AIP Publishing.