Drift of Scroll Waves in a Mathematical Model of a Heterogeneous Human Heart Left Ventricle

Sergey Pravdin, Pavel Konovalov, Hans Dierckx, Olga Solovyova and Alexander V. Panfilov
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Sergey Pravdin: Krasovskii Institute of Mathematics and Mechanics, 620990 Ekaterinburg, Russia
Pavel Konovalov: Institute of Immunology and Physiology UB RAS, 620049 Ekaterinburg, Russia
Hans Dierckx: KULeuven Campus KULAK, 8500 Kortrijk, Belgium
Olga Solovyova: Laboratory of Computational Biology and Medicine, Ural Federal University, 620075 Ekaterinburg, Russia
Alexander V. Panfilov: Laboratory of Computational Biology and Medicine, Ural Federal University, 620075 Ekaterinburg, Russia

Mathematics, 2020, vol. 8, issue 5, 1-13

Abstract: Rotating spiral waves of electrical excitation underlie many dangerous cardiac arrhythmias. The heterogeneity of myocardium is one of the factors that affects the dynamics of such waves. In this paper, we present results of our simulations for scroll wave dynamics in a heterogeneous model of the human left ventricle with analytical anatomically based representation of the geometry and anisotropy. We used a set of 18 coupled differential equations developed by ten Tusscher and Panfilov (TP06 model) which describes human ventricular cells based on their measured biophysical properties. We found that apicobasal heterogeneity dramatically changes the scroll wave dynamics. In the homogeneous model, the scroll wave annihilates at the base, but the moderate heterogeneity causes the wave to move to the apex and then continuously rotates around it. The rotation speed increased with the degree of the heterogeneity. However, for large heterogeneity, we observed formation of additional wavebreaks and the onset of complex spatio-temporal patterns. Transmural heterogeneity did not change the dynamics and decreased the lifetime of the scroll wave with an increase in heterogeneity. Results of our numerical experiments show that the apex may be a preferable location of the scroll wave, which may be important for development of clinical interventions.

Keywords: spiral wave; heterogeneity; heart modeling; myocardium; left ventricle (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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