Filament instability and rotational tissue anisotropy: A numerical study using detailed cardiac models

Chaos
Wouter-Jan Rappel

Abstract

The role of cardiac tissue anisotropy in the breakup of vortex filaments is studied using two detailed cardiac models. In the Beeler-Reuter model, modified to produce stable spiral waves in two dimensions, we find that anisotropy can destabilize a vortex filament in a parallelepipedal slab of tissue. The mechanisms of the instability are similar to the ones reported in previous work on a simplified cardiac model by Fenton and Karma [Chaos 8, 20 (1998)]. In the Luo-Rudy model, also modified to produce stable spiral waves in two dimensions, we find that anisotropy does not destabilize filaments. A possible explanation for this model-dependent behavior based on spiral tip trajectories is offered. (c) 2001 American Institute of Physics.

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Citations

Mar 3, 2004·The Journal of Clinical Investigation·Fagen XieAlan Garfinkel
Jun 5, 2003·Chaos·Francisco ChavezLeon Glass
May 23, 2008·Journal of Theoretical Biology·Alfonso Bueno-OrovioFlavio H Fenton
Nov 13, 2007·Journal of Electrocardiology·Robert F GilmourNiels F Otani
Jan 16, 2004·IEEE Transactions on Bio-medical Engineering·Richard H Clayton, Arun V Holden
Dec 4, 2003·Biophysical Journal·Mark-Anthony Bray, John P Wikswo
Nov 27, 2015·The Journal of Physiology·Sanjiv M Narayan, Junaid A B Zaman
Jan 31, 2004·American Journal of Physiology. Heart and Circulatory Physiology·Elizabeth M Cherry, Flavio H Fenton
Aug 16, 2016·Reports on Progress in Physics·Sergio AlonsoBlas Echebarria
Feb 9, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D Allexandre, N F Otani
Aug 11, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hervé Henry, Wouter-Jan Rappel
May 26, 2020·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·Matthew J Hoffman, Elizabeth M Cherry
Jun 19, 2002·Physics in Medicine and Biology·Richard H Clayton, Arun V Holden
May 17, 2017·Philosophical Transactions. Series A, Mathematical, Physical, and Engineering Sciences·E BocciaU Parlitz
Oct 2, 2017·Chaos·Daniel M Lombardo, Wouter-Jan Rappel
Feb 12, 2002·Physics in Medicine and Biology·Richard H Clayton, Arun V Holden
Sep 14, 2018·Frontiers in Physiology·Brodie A LawsonAlfonso Bueno-Orovio
Apr 3, 2012·American Journal of Physiology. Heart and Circulatory Physiology·Elizabeth M CherryRobert F Gilmour
May 15, 2002·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Hervé Henry, Vincent Hakim
Oct 15, 2008·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Fernando Siso-NadalJeffrey J Fox

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