Structural stability analysis of gene regulatory networks modeled by Boolean networks

摘要

This paper studies the structural monostability and structural cycle-stability of Boolean networks (BNs). Firstly, the structural-equivalent Boolean networks are converted to the algebraic forms by using the semitensor product of matrices. Secondly, the concepts of structural monostability and structural cycle-stability for Boolean networks are proposed. On the basis of the algebraic forms of structural-equivalent Boolean networks, some necessary and sufficient conditions are presented for the structural monostability and structural cycle-stability of Boolean networks. Finally, an illustrative example is worked out to show the effectiveness of the obtained results.