title: How to synchronize biological clocks.
abstract: 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.
authors.affiliation: Department of Systems and Computer Engineering, University of Naples Federico II, Naples, Italy.
authors.forename: G
authors.initials: G
authors.lastname: Russo
authors.forename: M
authors.initials: M
authors.lastname: Di Bernardo
mesh_terms: D000465:Algorithms; D001683:Biological Clocks / Q000502:physiology*; D002940:Circadian Rhythm / Q000502:physiology*; D003198:Computer Simulation; D008433:Mathematics; D008954:Models, Biological; D016571:Neural Networks, Computer; D015003:Yeasts / Q000502:physiology