Structural Monostability of Boolean Networks with Symmetric Node Dynamics

Abstract

Boolean networks are known as models of gene regulatory networks. For this system models, this paper addresses a structural monostability problem with the assumption where the node dynamics has a symmetric property. We present a necessary and sufficient condition for the so-called flower-shaped Boolean networks to be structurally-monostable. This allows us to capture the structural property by three simple characteristics of the network topology.