{"title":"Feedback Total-Activity Conservation of Boolean Control Networks","authors":"Wenrong Li;Haitao Li;Lingling Wu","doi":"10.1109/TCSII.2025.3603414","DOIUrl":null,"url":null,"abstract":"The law of conservation is crucial to guarantee the robustness of gene expression and signal transduction processes in biological systems. This brief analyzes the feedback total-activity conservation of Boolean control networks (BCNs) based on the semi-tensor product of matrices. First, by constructing the conservative characteristic matrix, a matrix-based criterion is presented to verify the total-activity conservation of BCNs. Secondly, by establishing the control index set, all possible state feedback controllers are designed to achieve the total-activity conservation for BCNs. Finally, an example of lac operon in the Escherichia coli is given to illustrate the proposed results.","PeriodicalId":13101,"journal":{"name":"IEEE Transactions on Circuits and Systems II: Express Briefs","volume":"72 10","pages":"1428-1432"},"PeriodicalIF":4.9000,"publicationDate":"2025-08-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"IEEE Transactions on Circuits and Systems II: Express Briefs","FirstCategoryId":"5","ListUrlMain":"https://ieeexplore.ieee.org/document/11142792/","RegionNum":2,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"ENGINEERING, ELECTRICAL & ELECTRONIC","Score":null,"Total":0}
引用次数: 0
Abstract
The law of conservation is crucial to guarantee the robustness of gene expression and signal transduction processes in biological systems. This brief analyzes the feedback total-activity conservation of Boolean control networks (BCNs) based on the semi-tensor product of matrices. First, by constructing the conservative characteristic matrix, a matrix-based criterion is presented to verify the total-activity conservation of BCNs. Secondly, by establishing the control index set, all possible state feedback controllers are designed to achieve the total-activity conservation for BCNs. Finally, an example of lac operon in the Escherichia coli is given to illustrate the proposed results.
期刊介绍:
TCAS II publishes brief papers in the field specified by the theory, analysis, design, and practical implementations of circuits, and the application of circuit techniques to systems and to signal processing. Included is the whole spectrum from basic scientific theory to industrial applications. The field of interest covered includes:
Circuits: Analog, Digital and Mixed Signal Circuits and Systems
Nonlinear Circuits and Systems, Integrated Sensors, MEMS and Systems on Chip, Nanoscale Circuits and Systems, Optoelectronic
Circuits and Systems, Power Electronics and Systems
Software for Analog-and-Logic Circuits and Systems
Control aspects of Circuits and Systems.