How to Synchronize Biological Clocks

This paper is concerned with a novel algorithm to study networks of biological clocks. A new set of conditions is established that can be used to verify whether an existing network synchronizes or to give guidelines to construct a new synthetic network of biological oscillators that synchronize. The methodology uses the so-called contraction theory from dynamical system theory and Gershgorin disk theorem. The strategy is validated on two examples: a model of glycolisis in yeast cells and a synthetic network of Repressilators that synchronizes.