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伴有微钙化的狭窄动脉应力的数值模拟:参数敏感性研究

Numerical modeling of stress in stenotic arteries with microcalcifications: a parameter sensitivity study.

作者信息

Wenk Jonathan F

机构信息

Department of Bioengineering, University of California-San Francisco, CA 94121, USA.

出版信息

J Biomech Eng. 2011 Jan;133(1):014503. doi: 10.1115/1.4003128.

Abstract

As a follow-up to the work presented in Wenk et al. (2010, "Numerical Modeling of Stress in Stenotic Arteries With Microcalcifications: A Micromechanical Approximation," ASME J. Biomech. Eng., 132, p. 091011), a formal sensitivity study was conducted in which several model parameters were varied. The previous work only simulated a few combinations of the parameters. In the present study, the fibrous cap thickness, longitudinal position of the region of microcalcifications, and volume fraction of microcalcifications were varied over a broader range of values. The goal of the present work is to investigate the effects of localized regions of microcalcifications on the stress field of atherosclerotic plaque caps in a section of carotid artery. More specifically, the variations in the magnitude and location of the maximum circumferential stress were assessed for a range of parameters using a global sensitivity analysis method known as Sobol' indices. The stress was calculated by performing finite element simulations of three-dimensional fluid-structure interaction models, while the sensitivity indices were computed using a Monte Carlo scheme. The results indicate that cap thickness plays a significant role in the variation in the magnitude of the maximum circumferential stress, with the sensitivity to volume fraction increasing when the region of microcalcification is located at the shoulder. However, the volume fraction played a larger role in the variation in the location of the maximum circumferential stress. This matches the finding of the previous study (Wenk et al., 2010, "Numerical Modeling of Stress in Stenotic Arteries With Microcalcifications: A Micromechanical Approximation," ASME J. Biomech. Eng., 132, p. 091011), which indicates that the maximum circumferential stress always shifts to the region of microcalcification.

摘要

作为对温克等人(2010年,《微钙化狭窄动脉应力的数值模拟:一种微观力学近似》,美国机械工程师协会《生物医学工程杂志》,第132卷,第091011页)所做工作的后续研究,进行了一项形式上的敏感性研究,其中改变了几个模型参数。先前的工作仅模拟了参数的少数几种组合。在本研究中,纤维帽厚度、微钙化区域的纵向位置以及微钙化的体积分数在更广泛的值范围内变化。本工作的目标是研究微钙化局部区域对颈动脉一段中动脉粥样硬化斑块帽应力场的影响。更具体地说,使用一种称为索博尔指数的全局敏感性分析方法,评估了一系列参数下最大周向应力的大小和位置的变化。通过对三维流固相互作用模型进行有限元模拟来计算应力,而敏感性指数则使用蒙特卡罗方案进行计算。结果表明,帽厚度在最大周向应力大小的变化中起重要作用,当微钙化区域位于肩部时,对体积分数的敏感性增加。然而,体积分数在最大周向应力位置的变化中起更大作用。这与先前研究(温克等人,2010年,《微钙化狭窄动脉应力的数值模拟:一种微观力学近似》,美国机械工程师协会《生物医学工程杂志》,第132卷,第091011页)的发现相符,该研究表明最大周向应力总是转移到微钙化区域。

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