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Proceedings Paper

Traveling waves and dynamical formation of autonomous pacemakers in a bistable medium with periodic boundary conditions
Author(s): Igor A. Shepelev; Tatiana E. Vadivasova; Dmitry E. Postnov
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Paper Abstract

The problem of spatiotemporal pattern formation in the wall of arterial vesselsmay be reduced to 1D or 2D models of nonlinear active medium. We address this problem using the discrete array of non-oscillating (bistable) active units. We show how the specific choice of initial conditions in a 1D model with periodic boundary conditions triggers the self-sustained behaviour. We reveal the core of observed effects being the dynamical formation of localized (few-element size) autonomous pacemakers.

Paper Details

Date Published: 19 March 2015
PDF: 7 pages
Proc. SPIE 9448, Saratov Fall Meeting 2014: Optical Technologies in Biophysics and Medicine XVI; Laser Physics and Photonics XVI; and Computational Biophysics, 94481V (19 March 2015); doi: 10.1117/12.2179710
Show Author Affiliations
Igor A. Shepelev, Saratov State Univ. (Russian Federation)
Tatiana E. Vadivasova, Saratov State Univ. (Russian Federation)
Dmitry E. Postnov, Saratov State Univ. (Russian Federation)


Published in SPIE Proceedings Vol. 9448:
Saratov Fall Meeting 2014: Optical Technologies in Biophysics and Medicine XVI; Laser Physics and Photonics XVI; and Computational Biophysics
Elina A. Genina; Vladimir L. Derbov; Kirill V. Larin; Dmitry E. Postnov; Valery V. Tuchin, Editor(s)

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