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

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, whi...

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Main Authors: Timur Gamilov, Philipp Kopylov, Maria Serova, Roman Syunyaev, Andrey Pikunov, Sofya Belova, Fuyou Liang, Jordi Alastruey, Sergey Simakov
Format: Article
Language:English
Published: MDPI AG 2020-07-01
Series:Mathematics
Subjects:
Online Access:https://www.mdpi.com/2227-7390/8/8/1205
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author Timur Gamilov
Philipp Kopylov
Maria Serova
Roman Syunyaev
Andrey Pikunov
Sofya Belova
Fuyou Liang
Jordi Alastruey
Sergey Simakov
author_facet Timur Gamilov
Philipp Kopylov
Maria Serova
Roman Syunyaev
Andrey Pikunov
Sofya Belova
Fuyou Liang
Jordi Alastruey
Sergey Simakov
author_sort Timur Gamilov
collection DOAJ
description 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.
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spelling doaj.art-4d22d85b01b543d5b070093bf8cc5e312023-11-20T07:31:44ZengMDPI AGMathematics2227-73902020-07-0188120510.3390/math8081205Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and ArrhythmiasTimur Gamilov0Philipp Kopylov1Maria Serova2Roman Syunyaev3Andrey Pikunov4Sofya Belova5Fuyou Liang6Jordi Alastruey7Sergey Simakov8Moscow Institute of Physics and Technology, 141701 Dolgoprudny, RussiaInstitute of Personalized Medicine, Sechenov University, 119992 Moscow, RussiaInstitute of Personalized Medicine, Sechenov University, 119992 Moscow, RussiaMoscow Institute of Physics and Technology, 141701 Dolgoprudny, RussiaMoscow Institute of Physics and Technology, 141701 Dolgoprudny, RussiaInstitute of Psychology of Russian Academy of Sciences, 129366 Moscow, RussiaInstitute of Personalized Medicine, Sechenov University, 119992 Moscow, RussiaInstitute of Personalized Medicine, Sechenov University, 119992 Moscow, RussiaMoscow Institute of Physics and Technology, 141701 Dolgoprudny, RussiaIn 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.https://www.mdpi.com/2227-7390/8/8/12051D haemodynamicssystole variationscoronary circulationcardiac pacingtachycardiabradycardia
spellingShingle Timur Gamilov
Philipp Kopylov
Maria Serova
Roman Syunyaev
Andrey Pikunov
Sofya Belova
Fuyou Liang
Jordi Alastruey
Sergey Simakov
Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias
Mathematics
1D haemodynamics
systole variations
coronary circulation
cardiac pacing
tachycardia
bradycardia
title Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias
title_full Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias
title_fullStr Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias
title_full_unstemmed Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias
title_short Computational Analysis of Coronary Blood Flow: The Role of Asynchronous Pacing and Arrhythmias
title_sort computational analysis of coronary blood flow the role of asynchronous pacing and arrhythmias
topic 1D haemodynamics
systole variations
coronary circulation
cardiac pacing
tachycardia
bradycardia
url https://www.mdpi.com/2227-7390/8/8/1205
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