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Phys. Rev. E 81, 052901 (2010) [4 pages]

Self-sustained biochemical oscillations and waves with a feedback determined only by boundary conditions

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E. B. Postnikov*, A. Yu. Verisokin, and D. V. Verveyko
Department of Theoretical Physics, Kursk State University, Radishcheva Street 33, 305000 Kursk, Russia

A. I. Lavrova
Institute of Physics, Humboldt-University at Berlin, Newtonstr. 15, 12489 Berlin, Germany

Received 26 November 2009; revised 5 March 2010; published 17 May 2010

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.

© 2010 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevE.81.052901
DOI:
10.1103/PhysRevE.81.052901
PACS:
82.39.-k, 02.30.Mv

*postnicov@gmail.com

aurebours@googlemail.com