A global relationship between trabecular bone morphology and homogenized elastic properties.
A global relationship between trabecular bone morphology and homogenized elastic properties.
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DOI：
10.1115/1.2834756
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发表时间：
1998-10
期刊：
影响因子：
--
通讯作者：
P. Zysset;R. Goulet;S. Hollister
中科院分区：
文献类型：
--
作者：
P. Zysset;R. Goulet;S. Hollister
提出了小梁骨形态和弹性特性之间关系的另一种概念，并使用数字方法应用于来自几个解剖位置的人体组织。用微计算机断层扫描系统评估骨小梁的三维形态，用有向割线法和星形体积法计算4 mm立方标本的平均截距长度（MIL）和平均骨长度（ABL）。假设骨小梁组织具有各向同性弹性，采用均匀化方法确定骨标本的一般弹性张量，并采用优化算法计算最接近的正交各向异性张量。小梁骨正异性的假设被发现随着标本尺寸的增加而改善，并且在4毫米立方体尺寸下保持在6.1%以内。得到了织物与正交各向异性弹性张量之间的强全局关系（r2 = 0.95）。平均截距长度和平均骨长度提供了相同的预测能力。这些结果支持了一个假设，即任意解剖位置的人类小梁骨的弹性特性可以通过对各向异性形态的近似和对组织特性的先验知识来估计。
An alternative concept of the relationship between morphological and elastic properties of trabecular bone is presented and applied to human tissue from several anatomical locations using a digital approach. The three-dimensional morphology of trabecular bone was assessed with a microcomputed tomography system and the method of directed secants as well as the star volume procedure were used to compute mean intercept length (MIL) and average bone length (ABL) of 4 mm cubic specimens. Assuming isotropic elastic properties for the trabecular tissue, the general elastic tensors of the bone specimens were determined using the homogenization method and the closest orthotropic tensors were calculated with an optimization algorithm. The assumption of orthotropy for trabecular bone was found to improve with specimen size and hold within 6.1 percent for a 4 mm cube size. A strong global relationship (r2 = 0.95) was obtained between fabric and the orthotropic elastic tensor with a minimal set of five constants. Mean intercept length and average bone length provided an equivalent power of prediction. These results support the hypothesis that the elastic properties of human trabecular bone from an arbitrary anatomical location can be estimated from an approximation of the anisotropic morphology and a prior knowledge of tissue properties.