Paper
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 +
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.
© (2015) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
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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KEYWORDS
Oscillators

Systems modeling

Biophysics

Chemical elements

Computer simulations

Astatine

Bistability

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