A Delay-Based Sustained Oscillator : Oregonator Based Model

Séminaire le 14 Juin 2016, 15h00 à CentraleSupelec (Gif-sur-Yvette) Salle du conseil du L2S - B4.40
Hakki Ulas UNAL (L2S, Anadolu University)

Many metabolic and  physiological processes occur in some periodic fashion. The phenomena has been known for a long time,  however, the underlying mechanism of such oscillatory behaviour has not been  fully understood.  Belousov-Zhabotinskii reaction, which exhibits oscillatory behaviour that are analogous to ones observed in certain biological systems, is often utilized to better understand the  oscillatory mechanism in  these systems. The reaction is very complicated, however, its oscillatory behaviour is described by a simple model, called Oregonator.  By the mass-action kinetics, the model can be described  by three  variables, which correspond to concentration of some chemical reactants.  In this talk,  delay-based Oregonator model obtained by the use of delay-mass-action kinetics will  be discussed. Some qualitative analysis on the  model will also be presented.