Feedback Total-Activity Conservation of Boolean Control Networks
Wenrong Li, Haitao Li, Lingling Wu · IEEE Transactions on Circuits & Systems II Express Briefs · 2025
The law of conservation is crucial to guarantee the robustness of gene expression and signal transduction processes in biological systems. This article 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.