Department of Biomedical Engineering, City College of New York, New York, NY 10031, USA.
Proc Natl Acad Sci U S A. 2013 Jun 25;110(26):10741-6. doi: 10.1073/pnas.1308814110. Epub 2013 Jun 3.
Using 2.1-µm high-resolution microcomputed tomography, we have examined the spatial distribution, clustering, and shape of nearly 35,000 microcalcifications (µCalcs) ≥ 5 µm in the fibrous caps of 22 nonruptured human atherosclerotic plaques. The vast majority of these µCalcs were <15 µm and invisible at the previously used 6.7-µm resolution. A greatly simplified 3D finite element analysis has made it possible to quickly analyze which of these thousands of minute inclusions are potentially dangerous. We show that the enhancement of the local tissue stress caused by particle clustering increases rapidly for gap between particle pairs (h)/particle diameter (D) < 0.4 if particles are oriented along the tensile axis of the cap. Of the thousands of µCalcs observed, there were 193 particle pairs with h/D ≤ 2 (tissue stress factor > 2), but only 3 of these pairs had h/D ≤ 0.4, where the local tissue stress could increase a factor > 5. Using nondecalcified histology, we also show that nearly all caps have µCalcs between 0.5 and 5 µm and that the µCalcs ≥ 5 µm observed in high-resolution microcomputed tomography are agglomerations of smaller calcified matrix vesicles. µCalcs < 5 µm are predicted to be not harmful, because the tiny voids associated with these very small particles will not explosively grow under tensile forces because of their large surface energy. These observations strongly support the hypothesis that nearly all fibrous caps have µCalcs, but only a small subset has the potential for rupture.
使用 2.1µm 高分辨率微计算机断层扫描,我们检查了 22 个人类非破裂动脉粥样硬化斑块纤维帽中近 35000 个≥5µm 的微钙化(µCalcs)的空间分布、聚集和形状。这些µCalcs 中的绝大多数<15µm,在之前使用的 6.7µm 分辨率下是不可见的。一个大大简化的 3D 有限元分析使得快速分析这些数千个微小夹杂物中哪些是潜在危险的成为可能。我们表明,如果颗粒沿帽的拉伸轴定向,则颗粒对之间的间隙(h)/颗粒直径(D)<0.4 时,颗粒聚集引起的局部组织应力增强会迅速增加。在观察到的数千个µCalcs 中,有 193 对 h/D≤2(组织应力因子>2)的颗粒对,但只有 3 对 h/D≤0.4,其中局部组织应力可以增加>5 倍。使用非脱钙组织学,我们还表明,几乎所有的帽都有 0.5-5µm 之间的µCalcs,并且在高分辨率微计算机断层扫描中观察到的≥5µm 的µCalcs 是较小的钙化基质囊泡的聚集物。µCalcs<5µm 预计不会有害,因为与这些非常小的颗粒相关的微小空隙由于其大的表面能而不会在张力下爆炸性地生长。这些观察结果强烈支持这样的假设,即几乎所有的纤维帽都有µCalcs,但只有一小部分具有破裂的潜力。