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首页> 外文期刊>Journal of Biomechanics >Relationship between ultrasonic parameters and apparent trabecular bone elastic modulus: a numerical approach.
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Relationship between ultrasonic parameters and apparent trabecular bone elastic modulus: a numerical approach.

机译：超声参数与表观小梁骨弹性模量之间的关系：一种数值方法。

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摘要

The physical principles underlying quantitative ultrasound (QUS) measurements in trabecular bone are not fully understood. The translation of QUS results into bone strength remains elusive. However, ultrasound being mechanical waves, it is likely to assess apparent bone elasticity. The aim of this study is to derive the sensitivity of QUS parameters to variations of apparent bone elasticity, a surrogate for strength. The geometry of 34 human trabecular bone samples cut in the great trochanter was reconstructed using 3-D synchrotron micro-computed tomography. Finite-difference time-domain simulations coupled to 3-D micro-structural models were performed in the three perpendicular directions for each sample and each direction. A voxel-based micro-finite element linear analysis was employed to compute the apparent Young's modulus (E) of each sample for each direction. For the antero-posterior direction, the predictive power of speed of sound and normalized broadband ultrasonic attenuation to assess E was equal to 0.9 and 0.87, respectively, which is better than what is obtained using bone density alone or coupled with micro-architectural parameters and of the same order of what can be achieved with the fabric tensor approach. When the direction of testing is parallel to the main trabecular orientation, the predictive power of QUS parameters decreases and the fabric tensor approach always gives the best results. This decrease can be explained by the presence of two longitudinal wave modes. Our results, which were obtained using two distinct simulation tools applied on the same set of samples, highlight the potential of QUS techniques to assess bone strength.
机译：小梁骨中定量超声（QUS）测量基础的物理原理尚未完全了解。 QUS结果转换为骨骼强度仍然难以捉摸。但是，超声波是机械波，可能会评估表观的骨弹性。这项研究的目的是得出QUS参数对表观骨弹性变化（强度替代）的敏感性。使用3-D同步加速器微型计算机断层扫描重建了在大转子中切割的34个人类小梁骨样品的几何形状。在每个样品和每个方向的三个垂直方向上，进行了与3-D微结构模型耦合的有限差分时域仿真。基于体素的微有限元线性分析用于计算每个方向上每个样本的表观杨氏模量（E）。在前后方向上，声速和归一化宽带超声衰减评估E的预测能力分别等于0.9和0.87，这比单独使用骨密度或结合微体系结构参数获得的预测力更好。可以用织物张量方法实现相同的数量级。当测试方向平行于主小梁方向时，QUS参数的预测能力降低，并且织物张量方法始终能提供最佳结果。这种减少可以通过存在两个纵波模式来解释。我们的结果是使用应用于同一组样品的两种不同的仿真工具获得的，这些结果突显了QUS技术评估骨强度的潜力。

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