title: Traveling glycolytic waves induced by a temperature gradient and determination of diffusivities for dense media.
abstract: Here we consider the spatially extended model incorporating the temperature-dependent autocatalytic coefficient into the Merkin-Needham-Scott version of the Selkov system and show that this model with temperature gradient quite reasonably explains the experimentally detected traveling glycolytic nonstationary waves, which can be attributed as kinematic ones. Additionally, we analyze the influence of possibly incorporating diffusion terms into the equations. It is shown that the value of diffusivity influences the timetable for the birth of new wave and their further evolution. This result could be used as a method for the determination of diffusivity.
authors.affiliation: Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia.
authors.forename: A Yu
authors.initials: AY
authors.lastname: Verisokin
authors.forename: D V
authors.initials: DV
authors.lastname: Verveyko
authors.forename: E B
authors.initials: EB
authors.lastname: Postnikov
mesh_terms: D003198:Computer Simulation; D004058:Diffusion; D006019:Glycolysis / Q000502:physiology*; D008954:Models, Biological; D013696:Temperature