# How to desynchronize quorum-sensing networks

## TL;DR

This paper presents a new method to de-synchronize quorum-sensing networks, which are common in biology, by providing conditions that cause network trajectories to diverge from synchronization, with applications demonstrated.

## Contribution

It introduces a novel sufficient condition for de-synchronization in quorum-sensing networks and applies it to practical biological network models.

## Key findings

- Provided a new sufficient condition for network divergence.
- Applied the condition to biological quorum-sensing models.
- Demonstrated divergence from synchronization in studied applications.

## Abstract

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.