Comparison of the Windkessel model and structured-tree model applied to prescribe outflow boundary conditions for a one-dimensional arterial tree model
Comparison of the Windkessel model and structured-tree model applied to prescribe outflow boundary conditions for a one-dimensional arterial tree model
复制标题
用于规定一维动脉树模型流出边界条件的 Windkessel 模型和结构化树模型的比较
DOI：
10.1016/j.jbiomech.2016.03.037
复制
发表时间：
2016-06-14
影响因子：
2.4
通讯作者：
Gremaud, Pierre A.
中科院分区：
文献类型：
--
作者：
Guan, Debao;Liang, Fuyou;Gremaud, Pierre A.
一维(1D)建模是研究动脉系统中波传播现象的一种广泛采用的方法。尽管Windkesel(WK)模型经常被用来描述一维动脉树模型的流出边界条件，但WK模型在描述远端血管中波传播的固有局限性在多大程度上影响在动脉水平模拟的血流动力学变量仍不清楚。在本研究中，动脉树的一维模型分别与WK边界模型和结构树(ST)边界模型耦合，产生两种类型的动脉树模型。为了便于定量比较，对WK和ST边界模型的有效电阻、柔度和电感进行了匹配。结果表明，两种模型模拟的压力/流量波在主动脉内相当，但向外的差异增大。波分析表明，边界模型产生的反射波的差异是在大动脉中观察到的压力波差异的主要来源。在老化条件下进行的额外模拟表明，随着年龄的增长，动脉硬化扩大了差异，但随着年龄的增长，生理性的主动脉扩张部分抵消了这种影响。这些结果表明，外流边界条件的模拟方法对一维动脉树模型的性能有相当大的影响，影响的程度随动脉系统的特性而异。(C)2016爱思唯尔有限公司保留所有权利。
One-dimensional (1D) modeling is a widely adopted approach for studying wave propagation phenomena in the arterial system. Despite the frequent use of the Windkessel (WK) model to prescribe outflow boundary conditions for 1D arterial tree models, it remains unclear to what extent the inherent limitation of the WK model in describing wave propagation in distal vasculatures affect hemodynamic variables simulated at the arterial level. In the present study, a 1D model of the arterial tree was coupled respectively with a WK boundary model and a structured-tree (ST) boundary model, yielding two types of arterial tree models. The effective resistances, compliances and inductances of the WK and ST boundary models were matched to facilitate quantitative comparisons. Obtained results showed that pressure/flow waves simulated by the two models were comparable in the aorta, whereas, their discrepancies increased towards the periphery. Wave analysis revealed that the differences in reflected waves generated by the boundary models were the major sources of pressure wave discrepancies observed in large arteries. Additional simulations performed under aging conditions demonstrated that arterial stiffening with age enlarged the discrepancies, but with the effects being partly counteracted by physiological aortic dilatation with age. These findings suggest that the method adopted for modeling the outflow boundary conditions has considerable influence on the performance of a 1D arterial tree model, with the extent of influence varying with the properties of the arterial system. (C) 2016 Elsevier Ltd All rights reserved.