Pulsatile blood flow in the entire coronary arterial tree: theory and experiment

American Journal of Physiology. Heart and Circulatory Physiology
Yunlong Huo, Ghassan S Kassab

Abstract

The pulsatility of coronary circulation can be accurately simulated on the basis of the measured branching pattern, vascular geometry, and material properties of the coronary vasculature. A Womersley-type mathematical model is developed to analyze pulsatile blood flow in diastole in the absence of vessel tone in the entire coronary arterial tree on the basis of previously measured morphometric data. The model incorporates a constitutive equation of pressure and cross-section area relation based on our previous experimental data. The formulation enables the prediction of the impedance, the pressure distribution, and the pulsatile flow distribution throughout the entire coronary arterial tree. The model is validated by experimental measurements in six diastolic arrested, vasodilated porcine hearts. The agreement between theory and experiment is excellent. Furthermore, the present pulse wave results at low frequency agree very well with previously published steady-state model. Finally, the phase angle of flow is seen to decrease along the trunk of the major coronary artery and primary branches toward the capillary vessels. This study represents the first, most extensive validated analysis of Womersley-type pulse wave transmission ...Continue Reading

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Citations

May 27, 2009·Medical & Biological Engineering & Computing·Anh BuiKurt Liffman
Feb 1, 2013·Journal of the Royal Society, Interface·Yunlong HuoGhassan S Kassab
Jul 14, 2010·American Journal of Physiology. Heart and Circulatory Physiology·Benjamin KaimovitzGhassan S Kassab
Oct 5, 2010·Journal of Applied Physiology·Hai ZhengGhassan S Kassab
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Dec 25, 2015·Journal of the Royal Society, Interface·Xi ChenYunlong Huo
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Feb 15, 2013·Computer Methods in Biomechanics and Biomedical Engineering·Claudio De LazzariDanilo Neglia
Jan 1, 2015·PloS One·Mohammad S RazaviGhassan S Kassab
Jun 13, 2006·Life Sciences·Walter C ProzialeckJames M Woods
Oct 3, 2008·Medical Engineering & Physics·Takeshi MatsumotoMasao Tanaka
Nov 4, 2010·Medical Engineering & Physics·P GanesanH Xu
Feb 22, 2017·The International Journal of Cardiovascular Imaging·S LiPeter Barlis
Jul 13, 2016·American Journal of Physiology. Heart and Circulatory Physiology·Simone RivoloJack Lee
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Dec 24, 2013·American Journal of Physiology. Heart and Circulatory Physiology·Jonathan P MynardJoseph J Smolich
Jul 15, 2015·Journal of Applied Physiology·Yunlong Huo, Ghassan S Kassab
Jun 6, 2018·Frontiers in Physiology·Yundi FengYunlong Huo
Jun 6, 2018·Frontiers in Physiology·Sanjay R KharcheChristopher W McIntyre
May 26, 2019·Journal of Functional Morphology and Kinesiology·Adeola A Sanni, Kevin K McCully
Apr 16, 2021·Pflügers Archiv : European journal of physiology·Oisín KingCesare M Terracciano

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