  In this paper we investigate how so-called quorum-sensing networks can be
de-synchronized. Such networks, which arise in many important application
fields such as systems biology, are characterized by the fact that direct
communication between network nodes is superimposed to communication with a
shared, environmental, variable. In particular, we provide a new sufficient
condition ensuring that the trajectories of these quorum-sensing networks
diverge from their synchronous evolution. Then, we apply our result to study
two applications.
