Expansion of scroll wave filaments induced by chiral mismatch

2018 ◽  
Vol 28 (4) ◽  
pp. 045106 ◽  
Author(s):  
Daniel Weingard ◽  
Oliver Steinbock ◽  
Richard Bertram
Keyword(s):  
Scroll Wave

THE DIFFERENTIAL GEOMETRY OF SCROLL WAVES

1991 ◽  
Vol 01 (04) ◽  
pp. 723-744 ◽  
Author(s):  
JOHN J. TYSON ◽  
STEVEN H. STROGATZ
Keyword(s):  
Traveling Waves ◽  
Three Dimensional ◽  
Spatial Arrangement ◽  
Topological Constraint ◽  
Linking Number ◽  
Physical Chemical ◽  
Statics And Dynamics ◽  
Scroll Wave ◽  
Chemical And Biological Systems ◽  
Belousov Zhabotinskii Reaction

Traveling waves of excitation organize physical, chemical, and biological systems in space and time. In the biological context they serve to communicate information rapidly over long distances and to coordinate the activity of tissues and organs. An example of particular beauty, complexity and importance is the three-dimensional rotating scroll wave observed in the Belousov–Zhabotinskii reaction and in the ventricle of the heart. A scroll wave rotates around a filamentous phase singularity that weaves through the three-dimensional medium. At any instant of time the geometry of the scroll wave can be reduced to the spatial arrangement of a ribbon whose edges are the singular filament and the tip of the scroll wave. This ribbon, when it closes on itself, must satisfy the topological constraint L = Tw + Wr, where L is the linking number of the two edges of the ribbon, Tw is the total twist of the ribbon, and Wr is the writhing number of the singular filament. We discuss the origin of this equation and its implications for scroll wave statics and dynamics.

Covariant Stringlike Dynamics of Scroll Wave Filaments in Anisotropic Cardiac Tissue

2007 ◽  
Vol 99 (16) ◽  
Author(s):  
Henri Verschelde ◽  
Hans Dierckx ◽  
Olivier Bernus
Keyword(s):  
Cardiac Tissue ◽  
Scroll Wave

Scroll Wave Instabilities in an Excitable Chemical Medium

2008 ◽  
Vol 100 (14) ◽  
Author(s):  
Chaiya Luengviriya ◽  
Ulrich Storb ◽  
Gert Lindner ◽  
Stefan C. Müller ◽  
Markus Bär ◽  
...  
Keyword(s):  
Scroll Wave ◽  
Wave Instabilities

TEMPORAL EVOLUTION OF NONLINEAR DYNAMICS IN VENTRICULAR ARRHYTHMIA

2001 ◽  
Vol 11 (10) ◽  
pp. 2531-2548 ◽  
Author(s):  
MICHAEL SMALL ◽  
DEJIN YU ◽  
ROBERT G. HARRISON ◽  
RICHARD CLAYTON ◽  
TRYGVE EFTESTØL ◽  
...  
Keyword(s):  
Cardiac Tissue ◽  
Surrogate Data ◽  
Mapping Technique ◽  
Ecg Signals ◽  
Return Mapping ◽  
Industrialized Nations ◽  
Spatially Extended ◽  
Observation Function ◽  
Scroll Wave ◽  
Break Up

Ventricular fibrillation (VF) is a rapidly lethal cardiac arrhythmia and one of the leading causes of sudden death in many industrialized nations. VF appears at random, but is produced by a spatially extended excitable system. We generated VF-like "pseudo-ECG" signals from a numerical caricature of cardiac tissue of 100 × 100 × 50 elements. The VF-like "pseudo-ECG" signals represent the propagation and break-up of an excitation scroll wave under FitzHugh–Nagumo dynamics. We use surrogate data and correlation dimension techniques to show that the dynamics observed in these computational simulations is consistent with the evolution of spontaneous VF in humans. Furthermore, we apply a novel adaptation of the traditional first return map technique to show that scroll wave break-up may be represented by a characteristic structural transition in the first return plot. The patterns and features identified by the first return mapping technique are found to be independent of the observation function and location. These methods offer insight into the evolution of VF and hint at potential new methods for diagnosis and analysis of this rapidly lethal condition.

scholarly journals Effects of Mechano-Electric Feedback on Scroll Wave Stability in Human Ventricular Fibrillation

PLoS ONE ◽  
2013 ◽  
Vol 8 (4) ◽  
pp. e60287 ◽  
Author(s):  
Yuxuan Hu ◽  
Viatcheslav Gurev ◽  
Jason Constantino ◽  
Jason D. Bayer ◽  
Natalia A. Trayanova
Keyword(s):  
Ventricular Fibrillation ◽  
Wave Stability ◽  
Scroll Wave

Motion of Scroll Wave Filaments in the Complex Ginzburg-Landau Equation

1997 ◽  
Vol 78 (10) ◽  
pp. 2012-2015 ◽  
Author(s):  
Michael Gabbay ◽  
Edward Ott ◽  
Parvez N. Guzdar
Keyword(s):  
Landau Equation ◽  
Ginzburg Landau ◽  
Ginzburg Landau Equation ◽  
Scroll Wave
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