Akyildiz Ali C, Speelman Lambert, van Velzen Bas, Stevens Raoul R F, van der Steen Antonius F W, Huberts Wouter, Gijsen Frank J H
Department of Biomedical Engineering, Erasmus Medical Center, Rotterdam, The Netherlands.
Department of Mechanical Engineering, Delft University of Technology, Delft, The Netherlands.
Interface Focus. 2018 Feb 6;8(1):20170008. doi: 10.1098/rsfs.2017.0008. Epub 2017 Dec 15.
Atherosclerotic plaque rupture is recognized as the primary cause of cardiac and cerebral ischaemic events. High structural plaque stresses have been shown to strongly correlate with plaque rupture. Plaque stresses can be computed with finite-element (FE) models. Current FE models employ homogeneous material properties for the heterogeneous atherosclerotic intima. This study aimed to evaluate the influence of intima heterogeneity on plaque stress computations. Two-dimensional FE models with homogeneous and heterogeneous intima were constructed from histological images of atherosclerotic human coronaries ( = 12). For homogeneous models, a single stiffness value was employed for the entire intima. For heterogeneous models, the intima was subdivided into four clusters based on the histological information and different stiffness values were assigned to the clusters. To cover the reported local intima stiffness range, 100 cluster stiffness combinations were simulated. Peak cap stresses (PCSs) from the homogeneous and heterogeneous models were analysed and compared. By using a global variance-based sensitivity analysis, the influence of the cluster stiffnesses on the PCS variation in the heterogeneous intima models was determined. Per plaque, the median PCS values of the heterogeneous models ranged from 27 to 160 kPa, and the PCS range varied between 43 and 218 kPa. On average, the homogeneous model PCS values differed from the median PCS values of heterogeneous models by 14%. A positive correlation ( = 0.72) was found between the homogeneous model PCS and the PCS range of the heterogeneous models. Sensitivity analysis showed that the highest main sensitivity index per plaque ranged from 0.26 to 0.83, and the average was 0.47. Intima heterogeneity resulted in substantial changes in PCS, warranting stress analyses with heterogeneous intima properties for plaque-specific, high accuracy stress assessment. Yet, computations with homogeneous intima assumption are still valuable to perform sensitivity analyses or parametric studies for testing the effect of plaque geometry on PCS. Moreover, homogeneous intima models can help identify low PCS, stable type plaques with thick caps. Yet, for thin cap plaques, accurate stiffness measurements of the clusters in the cap and stress analysis with heterogeneous cap properties are required to characterize the plaque stability.
动脉粥样硬化斑块破裂被认为是心脏和脑缺血事件的主要原因。研究表明,较高的斑块结构应力与斑块破裂密切相关。斑块应力可以通过有限元(FE)模型计算得出。当前的有限元模型对异质性动脉粥样硬化内膜采用均匀的材料属性。本研究旨在评估内膜异质性对斑块应力计算的影响。从人类动脉粥样硬化冠状动脉的组织学图像(n = 12)构建了具有均匀和异质内膜的二维有限元模型。对于均匀模型,整个内膜采用单一的刚度值。对于异质模型,根据组织学信息将内膜细分为四个簇,并为这些簇分配不同的刚度值。为涵盖已报道的局部内膜刚度范围,模拟了100种簇刚度组合。分析并比较了均匀模型和异质模型的峰值帽应力(PCS)。通过基于全局方差的敏感性分析,确定了簇刚度对异质内膜模型中PCS变化的影响。每个斑块中,异质模型的PCS中位数在27至160 kPa之间,PCS范围在43至218 kPa之间变化。平均而言,均匀模型的PCS值与异质模型的PCS中位数相差14%。在均匀模型的PCS与异质模型的PCS范围之间发现正相关(r = 0.72)。敏感性分析表明,每个斑块的最高主敏感性指数在0.26至0.83之间,平均值为0.47。内膜异质性导致PCS发生显著变化,因此需要使用异质内膜属性进行应力分析,以进行特定斑块的高精度应力评估。然而,采用均匀内膜假设进行计算对于进行敏感性分析或参数研究以测试斑块几何形状对PCS的影响仍然很有价值。此外,均匀内膜模型有助于识别帽厚的低PCS、稳定型斑块。然而,对于薄帽斑块,需要准确测量帽中簇的刚度并使用异质帽属性进行应力分析,以表征斑块稳定性。