19 March 2015 Traveling waves and dynamical formation of autonomous pacemakers in a bistable medium with periodic boundary conditions
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, Igor A. Shepelev, Tatiana E. Vadivasova, Tatiana E. Vadivasova, Dmitry E. Postnov, 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); doi: 10.1117/12.2179710; https://doi.org/10.1117/12.2179710
PROCEEDINGS
7 PAGES


SHARE
RELATED CONTENT

Dissipative solitons in 4-level atomic optical systems
Proceedings of SPIE (August 21 2017)
Analysis of an ATM shared buffer switch loaded with bursty...
Proceedings of SPIE (November 03 1996)
Laser beam coherence
Proceedings of SPIE (June 28 2001)

Back to Top