An orientation distribution function for trabecular bone.
An orientation distribution function for trabecular bone.
复制标题
小梁骨的方向分布函数。
DOI：
10.1016/j.bone.2004.09.023
复制
发表时间：
2005
期刊：
影响因子：
--
通讯作者：
Lane,NE
中科院分区：
文献类型：
--
作者：
Kinney,JohnH;Stolken,JamesS;Smith,TS;Ryaby,JamesT;Lane,NE
我们描述了一种从三维图像量化骨小梁方向的新方法。来自五个人类椎骨的小梁网格被分解为单独的小梁元素，并记录每个元素的方向、质量和厚度。导出了描述所有小梁的总质量（M（φ，θ））和平均厚度（τ（φ，θ））作为方向函数的连续函数。将结果与三个主要解剖方向的弹性模量的实验测量结果进行比较。观察到质量各向异性和弹性模量之间的幂律比例关系；缩放指数为 1.41 (R2= 0.88)。正如预期的那样，小梁质量的优势沿头尾方向定向；平均而言，垂直方向的质量是水平方向的质量的 3.4 倍。此外，垂直小梁平均比水平小梁厚 30%。垂直小梁厚度与连通性成反比（R2 = 0.70；P = 0.07），表明可能组织成少数厚小梁或许多薄小梁。该方法考虑了晶格的机械连接性，提供了一种快速方法来可视化和量化骨小梁的三维组织。
We describe a new method for quantifying the orientation of trabecular bone from three-dimensional images. Trabecular lattices from five human vertebrae were decomposed into individual trabecular elements, and the orientation, mass, and thickness of each element were recorded. Continuous functions that described the total mass (M(φ,θ)) and mean thickness (τ(φ,θ)) of all trabeculae as a function of orientation were derived. The results were compared with experimental measurements of the elastic modulus in three principal anatomic directions. A power law scaling relationship between the anisotropies in mass and elastic modulus was observed; the scaling exponent was 1.41 (R2= 0.88). As expected, the preponderance of trabecular mass was oriented along the cranial–caudal direction; on average, there was 3.4 times more mass oriented vertically than horizontally. Moreover, the vertical trabeculae were 30% thicker, on average, than the horizontal trabeculae. The vertical trabecular thickness was inversely related to connectivity (R2= 0.70; P = 0.07), suggesting a possible organization into either few, thick trabeculae or many thin trabeculae. The method, which accounts for the mechanical connectedness of the lattice, provides a rapid way to both visualize and quantify the three-dimensional organization of trabecular bone.