Network System with Signal Integration of ANDN Gate

In the recent years the complex networks theory as a powerful tool has been used in the study of such hot topics as internet, systems biology and optimization of traffic system. This article focuses on a network system consisting of famous repressilators coupled by quorum sensing, where intracellular and extracellular signals are integrated in an ANDN logic manner. A local synchronization criterion is established, where the cis-regulatory input function of ANDN response plays a key role. Moreover, the local result is extended to the global case through the specific structure of the network.