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Traveling waves in a piecewise-linear reaction-diffusion model of excitable medium

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Abstract

One-dimensional autowaves (traveling waves) in excitable medium described by a piecewise-linear reaction-diffusion system have been investigated. Two main types of wave have been considered: a single pulse and a periodic sequence of pulses (wave trains). In a two-component system, oscillations are due to the second component of the reaction-diffusion system, while in a one-component system, they are caused by external periodic excitation (forcing). Using semianalytical solutions for the wave profile, the shape and velocity of autowaves have been found. It is shown that the dispersion relation for oscillating sequences of pulses has an anomalous character.

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Authors and Affiliations

  1. Computing Center, Russian Academy of Sciences, Moscow, 119333, Russia

    E. P. Zemskov

  2. Physical Faculty, Moscow State University, Moscow, 119992, Russia

    A. Yu. Loskutov

Authors
  1. E. P. Zemskov
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  2. A. Yu. Loskutov
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Correspondence to E. P. Zemskov.

Additional information

Original Russian Text © E.P. Zemskov, A.Yu. Loskutov, 2009, published in Biofizika, 2009, Vol. 54, No. 5, pp. 908–915.

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Zemskov, E.P., Loskutov, A.Y. Traveling waves in a piecewise-linear reaction-diffusion model of excitable medium. BIOPHYSICS 54, 631–636 (2009). https://doi.org/10.1134/S0006350909050145

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  • DOI: https://doi.org/10.1134/S0006350909050145

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