Abstract
Scroll waves are found in physical, chemical and biological systems and underlie many significant processes including life-threatening cardiac arrhythmias. The theory of scroll waves predicts scroll wave dynamics should be substantially affected by heterogeneity of cardiac tissue together with other factors including shape and anisotropy. In this study, we used our recently developed analytical model of the human ventricle to identify effects of shape, anisotropy, and regional heterogeneity of myocardium on scroll wave dynamics. We found that the main effects of apical-base heterogeneity were an increased scroll wave drift velocity and a shift towards the region of maximum action potential duration. We also found that transmural heterogeneity does not substantially affect scroll wave dynamics and only in extreme cases changes the attractor position.
Similar content being viewed by others
References
A. T. Winfree and S. H. Strogatz, Nature 311, 611 (1984).
I. R. Efimov, V. Sidorov, Y. Cheng, and B. Wollenzier, J. Cardiovasc. Electrophys. 10, 1452 (1999).
R. A. Gray, J. Jalife, A. V. Panfilov, W. T. Baxter, C. Cabo, J. M. Davidenko, and A. M. Pertsov, Circulation 91, 2454 (1995).
A. N. Rudenko and A. V. Panfilov, Studia Biophys. 98, 183 (1983).
J. P. Keener and A. V. Panfilov, in Spatio-Temporal Organization in Nonequilibrium Systems (Project, Dortmund, 1992), p. 119.
A. V. Panfilov and J. P. Keener, J. Cardiovasc. Electrophys. 4, 412 (1993).
H. Dierckx, E. Brisard, H. Verschelde, and A. V. Panfilov, Phys. Rev. E 88, 012908/1 (2013).
A. V. Panfilov and A. N. Rudenko, Phys. D: Nonlin. Phenom. 28, 215 (1987).
S. F. Pravdin, V. I. Berdyshev, A. V. Panfilov, L. B. Katsnelson, O. Solovyova, and V. S. Markhasin, Biomed. Eng. Online 54, 12 (2013).
S. F. Pravdin, H. Dierckx, L. B. Katsnelson, O. Solovyova, V. S. Markhasin, and A. V. Panfilov, PLOS One 9, 5 (2014).
S. F. Pravdin, H. Dierckx, V. S. Markhasin, and A. V. Panfilov, Biomed. Res. Int. 2015, 389830 (2015).
F. L. Burton and S. M. Cobbe, Cardiovasc. Res. 50, 10 (2001).
A. V. Glukhov, V. V. Fedorov, Q. Lou, V. K. Ravikumar, P. W. Kalish, R. B. Schuessler, N. Moazami, and I. R. Efimov, Circ. Res. 106, 981 (2010).
R. R. Aliev and A. V. Panfilov, Chaos, Solitons Fractals 7, 293 (1996).
K. H. W. J. ten Tusscher and A. V. Panfilov, Am. J. Physiol. 284, H542 (2003).
Author information
Authors and Affiliations
Corresponding author
Additional information
Published in Russian in Pis’ma v Zhurnal Eksperimental’noi i Teoreticheskoi Fiziki, 2016, Vol. 104, No. 2, pp. 122–127.
The article is published in the original.
An erratum to this article is available at http://dx.doi.org/10.1134/S0021364016230156.
Rights and permissions
About this article
Cite this article
Konovalov, P.V., Pravdin, S.F., Solovyova, O.E. et al. Scroll wave dynamics in a model of the heterogeneous heart. Jetp Lett. 104, 130–134 (2016). https://doi.org/10.1134/S0021364016140034
Received:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364016140034