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Open AccessArticle

Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias

1
Moscow Institute of Physics and Technology, 141701 Dolgoprudny, Russia
2
Institute of Personalized Medicine, Sechenov University, 119992 Moscow, Russia
3
Institute of Psychology of Russian Academy of Sciences, 129366 Moscow, Russia
4
School of Naval Architecture, Ocean and Civil Engineering, Shanghai Jiao Tong University, Shanghai 200240, China
5
King’s College London, London SE1 7EH, UK
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(8), 1205; https://doi.org/10.3390/math8081205
Received: 15 June 2020 / Revised: 7 July 2020 / Accepted: 17 July 2020 / Published: 22 July 2020
(This article belongs to the Special Issue Mathematical Modelling in Biomedicine)
In this work we present a one-dimensional (1D) mathematical model of the coronary circulation and use it to study the effects of arrhythmias on coronary blood flow (CBF). Hydrodynamical models are rarely used to study arrhythmias’ effects on CBF. Our model accounts for action potential duration, which updates the length of systole depending on the heart rate. It also includes dependency of stroke volume on heart rate, which is based on clinical data. We apply the new methodology to the computational evaluation of CBF during interventricular asynchrony due to cardiac pacing and some types of arrhythmias including tachycardia, bradycardia, long QT syndrome and premature ventricular contraction (bigeminy, trigeminy, quadrigeminy). We find that CBF can be significantly affected by arrhythmias. CBF at rest (60 bpm) is 26% lower in LCA and 22% lower in RCA for long QT syndrome. During bigeminy, trigeminy and quadrigeminy, respectively, CBF decreases by 28%, 19% and 14% with respect to a healthy case. View Full-Text
Keywords: 1D haemodynamics; systole variations; coronary circulation; cardiac pacing; tachycardia; bradycardia; interventricular asynchrony; long QT syndrome; premature ventricular contraction 1D haemodynamics; systole variations; coronary circulation; cardiac pacing; tachycardia; bradycardia; interventricular asynchrony; long QT syndrome; premature ventricular contraction
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MDPI and ACS Style

Gamilov, T.; Kopylov, P.; Serova, M.; Syunyaev, R.; Pikunov, A.; Belova, S.; Liang, F.; Alastruey, J.; Simakov, S. Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias. Mathematics 2020, 8, 1205. https://doi.org/10.3390/math8081205

AMA Style

Gamilov T, Kopylov P, Serova M, Syunyaev R, Pikunov A, Belova S, Liang F, Alastruey J, Simakov S. Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias. Mathematics. 2020; 8(8):1205. https://doi.org/10.3390/math8081205

Chicago/Turabian Style

Gamilov, Timur; Kopylov, Philipp; Serova, Maria; Syunyaev, Roman; Pikunov, Andrey; Belova, Sofya; Liang, Fuyou; Alastruey, Jordi; Simakov, Sergey. 2020. "Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias" Mathematics 8, no. 8: 1205. https://doi.org/10.3390/math8081205

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