Chemical event chain model of coupled genetic oscillators

Chemical event chain model of coupled genetic oscillators

David J. Jörg, ∗ Luis G. Morelli, 3, 4 and Frank Jülicher † Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany Instituto de Investigación en Biomedicina de Buenos Aires (IBioBA)–CONICET–Partner Institute of the Max Planck Society, Polo Cient́ıfico Tecnológico, Godoy Cruz 2390, C1425FQD, Buenos Aires, Argentina Departamento de F́ısica, FCEyN UBA, Ci...

Coupled chaotic chemical oscillators.

We present a model study of two mass-coupled reactors containing the Belousov-Zhabotinsky reaction under chaotic conditions. The critical coupling strength is estimated for symmetry breaking when two identical low flow rate chaotic modes are coupled. Our results confirm that the critical coupling strength is directly proportional to the maximum Lyapunov exponent of the uncoupled system. The con...

Arrays of coupled chemical oscillators

Oscillating chemical reactions result from complex periodic changes in the concentration of the reactants. In spatially ordered ensembles of candle flame oscillators the fluctuations in the ratio of oxygen atoms with respect to that of carbon, hydrogen and nitrogen produces an oscillation in the visible part of the flame related to the energy released per unit mass of oxygen. Thus, the products...

04 Linear Chain of Coupled Oscillators

Pulse-coupled chemical oscillators with time delay.

Finger on the pulse: in a system of two pulse-coupled Belousov-Zhabotinsky oscillators, introducing a time delay or increasing the coupling strength brings about novel dynamic features (see picture, the two oscillators are shown in different colors), such as reversal of the roles of excitatory and inhibitory coupling or fast anti-phase oscillation. These features are not observed in diffusively...