Robust Stability of Boolean Networks Subject to Edge Perturbations

Edge perturbations (EPs) are often induced by disease-causing mutations, which include edge removal and edge sign switch. This article explores the robust stability of Boolean networks (BNs) with these two kinds of EPs. At first, both edge removal perturbation and edge sign switch perturbation are converted to multibit function perturbations (FPs). After that, the parameterized reachability matrix is constructed to verify the robust stability of BNs with multibit FP. As applications, several new criteria are established for the robust stability of BNs subject to edge removal perturbation and edge sign switch perturbation. Finally, the results are demonstrated by the Boolean models of p53 pathways network and Toll pathway of Drosophila signaling pathway network.