Wavenumber distribution in Hopf-wave instability: the reversible Selkov model of glycolytic oscillation.
We have investigated the short-wave instability due to Hopf bifurcation in a reaction-diffusion model of glycolytic oscillations. Very low values of the ratio d of the diffusion coefficient of the inhibitor (ATP) and that of the activator (ADP) do help to create short waves, whereas high values of the ratio d and the complexing reaction of the activator ADP reduces drastically the wave-instability domain, generating much longer wavelengths.
Dutt
Arun K
AK
Faculty of Computing, Engineering and Mathematical Sciences, Du Pont Building, University of the West of England, Frenchay Campus, Bristol BS16 1QY, United Kingdom. dutt_arun@yahoo.com
D000244:Adenosine Diphosphate / Q000737:chemistry; D000255:Adenosine Triphosphate / Q000737:chemistry; D055598:Chemical Phenomena; D002627:Chemistry, Physical; D004058:Diffusion; D004735:Energy Transfer; D006019:Glycolysis; D008956:Models, Chemical; D025221:Phosphofructokinases / Q000737:chemistry
D000244:Adenosine Diphosphate; D000255:Adenosine Triphosphate; D025221:Phosphofructokinases