title: Self-sustained biochemical oscillations and waves with a feedback determined only by boundary conditions.
abstract: We discuss the biochemical three-dimensional reaction-diffusion model, which does not provide temporal self-sustained oscillations via reaction terms. However, the self-sustained oscillations and waves could be obtained using the proper boundary conditions for systems with a finite thickness. We have carried out in our numerical simulation the results quite corresponding to the experimental ones. We discuss the range of models for which our approach is applicable.
authors.affiliation: Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia. postnicov@gmail.com
authors.forename: E B
authors.initials: EB
authors.lastname: Postnikov
authors.forename: A Yu
authors.initials: AY
authors.lastname: Verisokin
authors.forename: D V
authors.initials: DV
authors.lastname: Verveyko
authors.forename: A I
authors.initials: AI
authors.lastname: Lavrova
mesh_terms: D000255:Adenosine Triphosphate / Q000737:chemistry; D000465:Algorithms; D000818:Animals; D001671:Biochemistry / Q000379:methods; D001703:Biophysics / Q000379:methods*; D003198:Computer Simulation; D003600:Cytosol / Q000378:metabolism; D004058:Diffusion; D025461:Feedback, Physiological; D006019:Glycolysis; D006801:Humans; D008954:Models, Biological; D008962:Models, Theoretical; D009991:Oscillometry / Q000379:methods; D015398:Signal Transduction
chemical_list: D000255:Adenosine Triphosphate