Traveling waves and dynamical formation of autonomous pacemakers in a bistable medium with periodic boundary conditions

Igor A. Shepelev; Tatiana E. Vadivasova; Dmitry E. Postnov

doi:10.1117/12.2179710

19 March 2015 Traveling waves and dynamical formation of autonomous pacemakers in a bistable medium with periodic boundary conditions

Igor A. Shepelev, Tatiana E. Vadivasova, Dmitry E. Postnov

Author Affiliations +

Proceedings Volume 9448, Saratov Fall Meeting 2014: Optical Technologies in Biophysics and Medicine XVI; Laser Physics and Photonics XVI; and Computational Biophysics; 94481V (2015) https://doi.org/10.1117/12.2179710
Event: Saratov Fall Meeting 2014, 2014, Saratov, Russian Federation

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.

Citation Download Citation

Igor A. Shepelev, Tatiana E. Vadivasova, and Dmitry E. Postnov "Traveling waves and dynamical formation of autonomous pacemakers in a bistable medium with periodic boundary conditions", 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); https://doi.org/10.1117/12.2179710

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