Excitation Wave Breaking in Excitable Media with Linear Shear Flow

V. N. Biktashev, A. V. Holden, M. A. Tsyganov, J. Brindley, and N. A. Hill
Phys. Rev. Lett. 81, 2815 – Published 28 September 1998
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Abstract

If an excitable medium is moving with relative shear, the waves of excitation may be broken by the motion. We consider such breaks for the case of a constant linear shear flow. The mechanisms and conditions for the breaking of solitary waves and wave trains are essentially different: the solitary waves require the velocity gradient to exceed a certain threshold, while the breaking of repetitive wave trains happens for arbitrarily small velocity gradients.

  • Received 30 March 1998

DOI:https://doi.org/10.1103/PhysRevLett.81.2815

©1998 American Physical Society

Authors & Affiliations

V. N. Biktashev*, A. V. Holden, and M. A. Tsyganov

  • Department of Physiology, University of Leeds, Leeds LS2 9JT, United Kingdom

J. Brindley and N. A. Hill

  • Department of Applied Mathematics, University of Leeds, Leeds LS2 9JT, United Kingdom

  • *On leave from Institute for Mathematical Problems in Biology, Pushchino, Moscow region, 142292, Russia.
  • Also with Institute for Theoretical and Experimental Biophysics, Pushchino, Moscow region, 142292, Russia.

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Vol. 81, Iss. 13 — 28 September 1998

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