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

E. B. Postnikov, A. Yu. Verisokin, D. V. Verveyko, and A. I. Lavrova
Phys. Rev. E 81, 052901 – Published 17 May 2010
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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.

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  • Received 26 November 2009

DOI:https://doi.org/10.1103/PhysRevE.81.052901

©2010 American Physical Society

Authors & Affiliations

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

  • *postnicov@gmail.com
  • aurebours@googlemail.com

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Issue

Vol. 81, Iss. 5 — May 2010

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Announcement
Physical Review E Scope Description to Include Biological Physics
January 14, 2016

The editors of Physical Review E are pleased to announce that the journal’s stated scope has been expanded to explicitly include the term “Biological Physics.”

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