A one-dimensional hemodynamic model of the coronary arterial tree

Duanmu, Z., Chen, W., Gao, H. , Yang, X., Luo, X. , Wang, T. and Hill, N. A. (2019) A one-dimensional hemodynamic model of the coronary arterial tree. Frontiers in Physiology, 10, 853. (doi:10.3389/fphys.2019.00853)

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Abstract

One-dimensional (1D) hemodynamic models of arteries have increasingly been applied to coronary circulation. In this study, we have adopted flow and pressure profiles in Olufsen's 1D structured tree as coronary boundary conditions, with terminals coupled to the dynamic pressure feedback resulting from the intra-myocardial stress because of ventricular contraction. We model a trifurcation structure of the example coronary tree as two adjacent bifurcations. The estimated results of blood pressure and flow rate from our simulation agree well with the clinical measurements and published data. Furthermore, the 1D model enables us to use wave intensity analysis to simulate blood flow in the developed coronary model. Six characteristic waves are observed in both left and right coronary flows, though the waves' magnitudes differ from each other. We study the effects of arterial wall stiffness on coronary blood flow in the left circumflex artery (LCX). Different diseased cases indicate that distinct pathological reactions of the cardiovascular system can be better distinguished through Wave Intensity analysis, which shows agreement with clinical observations. Finally, the feedback pressure in terminal vessels and measurement deviation are also investigated by changing parameters in the LCX. We find that larger feedback pressure increases the backward wave and decreases the forward one. Although simplified, this 1D model provides new insight into coronary hemodynamics in healthy and diseased conditions. We believe that this approach offers reference resources for studies on coronary circulation disease diagnosis, treatment and simulation.

Item Type:Articles
Additional Information:This work is supported by the Program for Changjiang Scholars and Innovative Research Team in University (Grant No. IRT\_16R07), National Natural Science Foundation of China (Grant Numbers: 11321062), by China Postdoctoral Science Foundation Funded Project (2017M623296XB) and Guangxi Young and Middle-Aged Teachers' Research Fundamental Ability Enhancement Project (2019KY0098), and the UK Engineering and Physical Sciences Research Council (Grant Number EP/N014642/1).
Status:Published
Refereed:Yes
Glasgow Author(s) Enlighten ID:Luo, Professor Xiaoyu and Hill, Professor Nicholas and Gao, Dr Hao and Chen, WeiWei
Authors: Duanmu, Z., Chen, W., Gao, H., Yang, X., Luo, X., Wang, T., and Hill, N. A.
College/School:College of Science and Engineering > School of Mathematics and Statistics > Mathematics
Journal Name:Frontiers in Physiology
Publisher:Frontiers Media
ISSN:1664-042X
ISSN (Online):1664-042X
Published Online:09 July 2019
Copyright Holders:Copyright © 2019 Duanmu, Chen, Gao, Yang, Luo and Hill
First Published:First published in Frontiers in Physiology 10:853
Publisher Policy:Reproduced under a Creative Commons License

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Project CodeAward NoProject NamePrincipal InvestigatorFunder's NameFunder RefLead Dept
694461EPSRC Centre for Multiscale soft tissue mechanics with application to heart & cancerRaymond OgdenEngineering and Physical Sciences Research Council (EPSRC)EP/N014642/1M&S - MATHEMATICS