Features of Chaotic Transients in Excitable Media Governed by Spiral and Scroll Waves

2017 ◽  
Vol 119 (5) ◽  
Author(s):  
Thomas Lilienkamp ◽  
Jan Christoph ◽  
Ulrich Parlitz
Keyword(s):  
Excitable Media ◽  
Chaotic Transients ◽  
Scroll Waves

THREE-DIMENSIONAL ASPECTS OF RE-ENTRY IN EXPERIMENTAL AND NUMERICAL MODELS OF VENTRICULAR FIBRILLATION

1999 ◽  
Vol 09 (04) ◽  
pp. 695-704 ◽  
Author(s):  
V. N. BIKTASHEV ◽  
A. V. HOLDEN ◽  
S. F. MIRONOV ◽  
A. M. PERTSOV ◽  
A. V. ZAITSEV
Keyword(s):  
Ventricular Fibrillation ◽  
Numerical Simulations ◽  
Numerical Models ◽  
Three Dimensional ◽  
Spiral Waves ◽  
Excitable Media ◽  
Ventricular Wall ◽  
Two Dimensional ◽  
Key Features ◽  
Scroll Waves

Ventricular fibrillation is believed to be produced by the breakdown of re-entrant propagation waves of excitation into multiple re-entrant sources. These re-entrant waves may be idealized as spiral waves in two-dimensional, and scroll waves in three-dimensional excitable media. Optically monitored, simultaneously recorded endocardial and epicardial patterns of activation on the ventricular wall do not always show spiral waves. We show that numerical simulations, even with a simple homogeneous excitable medium, can reproduce the key features of the simultaneous endo- and epicardial visualizations of propagating activity, and so these recordings may be interpreted in terms of scroll waves within the ventricular wall.

Dynamics of scroll waves with time-delay propagation in excitable media

2018 ◽  
Vol 59 ◽  
pp. 331-337 ◽  
Author(s):  
Jiang-Xing Chen ◽  
Jie Xiao ◽  
Li-Yan Qiao ◽  
Jiang-Rong Xu
Keyword(s):  
Time Delay ◽  
Excitable Media ◽  
Delay Propagation ◽  
Scroll Waves

TWISTED SCROLL WAVES IN HETEROGENEOUS EXCITABLE MEDIA

1993 ◽  
Vol 03 (02) ◽  
pp. 445-450 ◽  
Author(s):  
ALEXANDER V. PANFILOV ◽  
JAMES P. KEENER
Keyword(s):  
Stationary Process ◽  
Three Dimensional ◽  
Excitable Medium ◽  
Excitable Media ◽  
Type Model ◽  
Refractory Periods ◽  
Scroll Wave ◽  
Scroll Waves

We study numerically the behavior of a scroll wave in a three-dimensional excitable medium with stepwise heterogeneity, using a FitzHugh Nagumo type model. We find that if the refractory periods in the two homogeneous subregions are sufficiently different, the scroll breaks into two scrolls rotating independently in each part of the medium. Eventually, the faster scroll eliminates the slower one leading to a stationary process, in which the scroll wave surviving in the region of faster recovery acts as a source for planar waves in the region of slower recovery.

scholarly journals Predicting the duration of chaotic transients in excitable media

2021 ◽  
Author(s):  
Marcel Aron ◽  
Thomas Lilienkamp ◽  
Stefan Luther ◽  
Ulrich Parlitz
Keyword(s):  
Excitable Media ◽  
Chaotic Transients
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