Author: A.Zaikin, Potsdam University.
Names and affiliation of other authors:
A.Koseska, AGNLD, University of Potsdam.
E.Volkov, Lebedev Physical Institute, Moscow, Russia
J.G.Ojalvo,Politechnicl Univesity, Barcelona, Spain
J.Kurths, AGNLD, Uni.Potsdam, Germany
Oral or poster: Oral presentation
Generation of rhythm is certainly one of the most important problems in understanding of genetic network functions as well as in the design of synthetic genetic circuits. However, until present, the main attention has been directed to the synchronization properties of communicating genetic units. We show that autoinducer intercell communication system suggested to provide coupling between synthetic genetic oscillators will immanently lead to multirhythmicity and appearance of several coexisting dynamical regimes if the time evolution of the genetic network can be split in two well-separated time scales. We analyze and identify all possible modes of organized collective behavior in an ensemble of hysteresis-based genetic relaxation oscillators. Moreover, we show the possibility for different element distributions between clusters, providing presence of different time scales by the same genetic unit. Furthermore, we study the interplay of noise, population size and quorum sensing and their influence on the appearance of new dynamical regimes. We show that control of the population size, coupling strength, and noise can effectively change the dynamics of the system between clustering, synchronous and asynchronous oscillations, and suppression.