用于评估冠状动脉供血能力的集合参数模型。

IF 2.6 4区 工程技术 Q1 Mathematics Mathematical Biosciences and Engineering Pub Date : 2024-05-07 DOI:10.3934/mbe.2024258
Li Cai, Qian Zhong, Juan Xu, Yuan Huang, Hao Gao
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引用次数: 0

摘要

冠状动脉是维持心脏功能的重要血管系统,其主要作用是向心肌组织输送不可或缺的营养物质。一旦冠状动脉发生病变,就会影响心脏供血,诱发心肌缺血。因此,对冠状动脉进行数值模拟并评估其供血能力具有重要意义。本文根据电路系统参数和心血管系统参数之间的关系,推导出冠状动脉整块参数模型,并研究了冠状动脉在健康和狭窄状态下的供血能力。采用主动脉瓣流固耦合(AV FSI)模拟器计算的主动脉根部压力作为入口边界条件。为了模拟血管半径突然减小导致压力骤降的生理现象,在冠状动脉入口处连接了一个头部损失模型。每个冠状动脉出口处都附加了对称结构树模型,以模拟缺失的下游冠状动脉的终端阻抗。采用粒子群优化(PSO)算法对冠状动脉模型的血流粘滞阻力、血流惯性和血管顺应性进行优化。在狭窄状态下,数值模拟计算出的相对流量和分数流量储备(FFR)与已发表的文献数据相符。预计该模型可随时应用于临床,为诊断和治疗患者提供有价值的参考。
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A lumped parameter model for evaluating coronary artery blood supply capacity.

The coronary artery constitutes a vital vascular system that sustains cardiac function, with its primary role being the conveyance of indispensable nutrients to the myocardial tissue. When coronary artery disease occurs, it will affect the blood supply of the heart and induce myocardial ischemia. Therefore, it is of great significance to numerically simulate the coronary artery and evaluate its blood supply capacity. In this article, the coronary artery lumped parameter model was derived based on the relationship between circuit system parameters and cardiovascular system parameters, and the blood supply capacity of the coronary artery in healthy and stenosis states was studied. The aortic root pressure calculated by the aortic valve fluid-structure interaction (AV FSI) simulator was employed as the inlet boundary condition. To emulate the physiological phenomenon of sudden pressure drops resulting from an abrupt reduction in blood vessel radius, a head loss model was connected at the coronary artery's entrance. For each coronary artery outlet, the symmetric structured tree model was appended to simulate the terminal impedance of the missing downstream coronary arteries. The particle swarm optimization (PSO) algorithm was used to optimize the blood flow viscous resistance, blood flow inertia, and vascular compliance of the coronary artery model. In the stenosis states, the relative flow and fractional flow reserve (FFR) calculated by numerical simulation corresponded to the published literature data. It was anticipated that the proposed model can be readily adapted for clinical application, serving as a valuable reference for diagnosing and treating patients.

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来源期刊
Mathematical Biosciences and Engineering
Mathematical Biosciences and Engineering 工程技术-数学跨学科应用
CiteScore
3.90
自引率
7.70%
发文量
586
审稿时长
>12 weeks
期刊介绍: Mathematical Biosciences and Engineering (MBE) is an interdisciplinary Open Access journal promoting cutting-edge research, technology transfer and knowledge translation about complex data and information processing. MBE publishes Research articles (long and original research); Communications (short and novel research); Expository papers; Technology Transfer and Knowledge Translation reports (description of new technologies and products); Announcements and Industrial Progress and News (announcements and even advertisement, including major conferences).
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