Huang Xueying, Yang Chun, Yuan Chun, Liu Fei, Canton Gador, Zheng Jie, Woodard Pamela K, Sicard Gregorio A, Tang Dalin
Mathematical Sciences Department, Worcester Polytechnic Institute, Worcester, MA 01609, USA.
Mol Cell Biomech. 2009 Jun;6(2):121-34.
Image-based computational models for atherosclerotic plaques have been developed to perform mechanical analysis to quantify critical flow and stress/strain conditions related to plaque rupture which often leads directly to heart attack or stroke. An important modeling issue is how to determine zero stress state from in vivo plaque geometries. This paper presents a method to quantify human carotid artery axial and inner circumferential shrinkages by using patient-specific ex vivo and in vivo MRI images. A shrink-stretch process based on patient-specific in vivo plaque morphology and shrinkage data was introduced to shrink the in vivo geometry first to find the zero-stress state (opening angle was ignored to reduce the complexity), and then stretch and pressurize to recover the in vivo plaque geometry with computed initial stress, strain, flow pressure and velocity conditions. Effects of the shrink-stretch process on plaque stress/strain distributions were demonstrated based on patient-specific data using 3D models with fluid-structure interactions (FSI). The average artery axial and inner circumferential shrinkages were 25% and 7.9%, respectively, based on a data set obtained from 10 patients. Maximum values of maximum principal stress and strain increased 349.8% and 249% respectively with 33% axial stretch. Influence of inner circumferential shrinkage (7.9%) was not very noticeable under 33% axial stretch, but became more noticeable under smaller axial stretch. Our results indicated that accurate knowledge of artery shrinkages and the shrink-stretch process will considerably improve the accuracy of computational predictions made based on results from those in vivo MRI-based FSI models.
用于动脉粥样硬化斑块的基于图像的计算模型已被开发出来,以进行力学分析,量化与斑块破裂相关的关键血流以及应力/应变情况,而斑块破裂往往会直接导致心脏病发作或中风。一个重要的建模问题是如何根据体内斑块几何形状确定零应力状态。本文提出了一种利用患者特异性离体和体内MRI图像来量化人类颈动脉轴向和内周向收缩的方法。引入了一个基于患者特异性体内斑块形态和收缩数据的收缩-拉伸过程,首先收缩体内几何形状以找到零应力状态(忽略开口角度以降低复杂性),然后拉伸并加压以恢复具有计算得到的初始应力、应变、血流压力和速度条件的体内斑块几何形状。基于患者特异性数据,使用具有流固相互作用(FSI)的三维模型,展示了收缩-拉伸过程对斑块应力/应变分布的影响。基于从10名患者获得的数据集,动脉轴向和内周向的平均收缩率分别为25%和7.9%。在轴向拉伸33%的情况下,最大主应力和应变的最大值分别增加了349.8%和249%。在轴向拉伸33%的情况下,内周向收缩(7.9%)的影响不太明显,但在较小的轴向拉伸下变得更加明显。我们的结果表明,准确了解动脉收缩和收缩-拉伸过程将大大提高基于那些基于体内MRI的FSI模型结果所做的计算预测的准确性。