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基于体内CT图像的人体右冠状动脉中低密度脂蛋白和白蛋白转运的计算建模

Computational modeling of LDL and albumin transport in an in vivo CT image-based human right coronary artery.

作者信息

Sun Nanfeng, Torii Ryo, Wood Nigel B, Hughes Alun D, Thom Simon A M, Xu X Yun

机构信息

Department of Chemical Engineering, Imperial College London, South Kensington Campus, London SW7 2AZ, UK.

出版信息

J Biomech Eng. 2009 Feb;131(2):021003. doi: 10.1115/1.3005161.

Abstract

Low wall shear stress (WSS) is implicated in endothelial dysfunction and atherogenesis. The accumulation of macromolecules is also considered as an important factor contributing to the development of atherosclerosis. In the present study, a fluid-wall single-layered model incorporated with shear-dependent transport parameters was used to investigate albumin and low-density lipoprotein (LDL) transport in an in vivo computed tomographic image-based human right coronary artery (RCA). In the fluid-wall model, the bulk blood flow was modeled by the Navier-Stokes equations, Darcy's law was employed to model the transmural flow in the arterial wall, mass balance of albumin and LDL was governed by the convection-diffusion mechanism with an additional reaction term in the wall, and the Kedem-Katchalsky equations were applied at the endothelium as the interface condition between the lumen and wall. Shear-dependent models for hydraulic conductivity and albumin permeability were derived from experimental data in literature to investigate the influence of WSS on macromolecular accumulation in the arterial wall. A previously developed so-called lumen-free time-averaged scheme was used to approximate macromolecular transport under pulsatile flow conditions. LDL and albumin accumulations in the subendothelial layer were found to be colocalized with low WSS. Two distinct mechanisms responsible for the localized accumulation were identified: one was insufficient efflux from the subendothelial layer to outer wall layers caused by a weaker transmural flow; the other was excessive influx to the subendothelial layer from the lumen caused by a higher permeability of the endothelium. The comparison between steady flow and pulsatile flow results showed that the dynamic behavior of the pulsatile flow could induce a wider and more diffuse macromolecular accumulation pattern through the nonlinear shear-dependent transport properties. Therefore, it is vital to consider blood pulsatility when modeling the shear-dependent macromolecular transport in large arteries. In the present study, LDL and albumin accumulations were observed in the low WSS regions of a human RCA using a fluid-wall mass transport model. It was also found that steady flow simulation could overestimate the magnitude and underestimate the area of accumulations. The association between low WSS and accumulation of macromolecules leading to atherosclerosis may be mediated through effects on transport properties and mass transport and is also influenced by flow pulsatility.

摘要

低壁面剪切应力(WSS)与内皮功能障碍和动脉粥样硬化的发生有关。大分子的积累也被认为是导致动脉粥样硬化发展的一个重要因素。在本研究中,使用一个结合了剪切依赖传输参数的流体-壁单层模型,来研究基于体内计算机断层扫描图像的人体右冠状动脉(RCA)中的白蛋白和低密度脂蛋白(LDL)传输。在流体-壁模型中,总体血流由纳维-斯托克斯方程建模,达西定律用于模拟动脉壁中的跨壁流,白蛋白和LDL的质量平衡由对流-扩散机制控制,并在壁中添加一个反应项,而凯德姆-卡察尔斯基方程应用于内皮,作为管腔和壁之间的界面条件。从文献中的实验数据推导出了水力传导率和白蛋白渗透率的剪切依赖模型,以研究WSS对动脉壁中大分子积累的影响。使用先前开发的所谓无腔时间平均方案来近似脉动流条件下的大分子传输。发现内皮下层中的LDL和白蛋白积累与低WSS共定位。确定了导致局部积累的两种不同机制:一种是由于跨壁流较弱,内皮下层向外壁层的流出不足;另一种是由于内皮通透性较高,从管腔向内皮下层的流入过多。稳态流和脉动流结果的比较表明,脉动流的动态行为可通过非线性剪切依赖传输特性诱导更广泛、更弥散的大分子积累模式。因此,在对大动脉中剪切依赖的大分子传输进行建模时,考虑血液脉动至关重要。在本研究中,使用流体-壁质量传输模型在人体RCA的低WSS区域观察到了LDL和白蛋白积累。还发现稳态流模拟可能高估积累的幅度并低估积累的面积。低WSS与导致动脉粥样硬化的大分子积累之间的关联可能通过对传输特性和质量传输的影响来介导,并且还受血流脉动的影响。

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