Smit T H, Odgaard A, Schneider E
Department of Clinical Physics and Engineering, Academic Hospital Vrije Universiteit, Amsterdam, The Netherlands.
Spine (Phila Pa 1976). 1997 Dec 15;22(24):2823-33. doi: 10.1097/00007632-199712150-00005.
A combined morphologic and finite-element study on vertebral trabecular bone.
To relate the form and function of vertebral trabecular bone, in an attempt to better understand the mechanical function of a lumbar vertebra.
The architecture of bone is closely related to its mechanical function (Wolff's Law). In the human spine, vertebrae are subjected to a large variety of loads. Yet, these bones show a typical architecture, which means that they carry typical loads.
Five trabecular bone cubes from specific sites of a lumbar vertebra were 3D-reconstructed for computerized analysis. The architecture of the specimens was quantified by the bone volume fraction and a measure of anisotropy, the mean bone length. A finite element model was used to calculate internal stresses within a homogeneous vertebral body under basic loads. For each load case, bone volume fraction of the specimens was compared with the equivalent von Mises stress, and mean bone length was compared with the principal stress directions.
Bone volume fraction poorly related to the von Mises stress in the physiologic load case of axial compression. However, high bone volume fractions exist at locations where multiple load situations occur (e.g., near the pedicles and endplates). Remarkably, these sites also show finer architectures. Comparison of mean bone length with principal stresses revealed that the vertebral trabecular bone architecture particularly, but not entirely, corresponds to the stress field under axial compression. The horizontal struts near the end-plates were found to be due to the function of the healthy intervertebral disc, and facetal joint loads introduce stress components that relate well with the bone structures near the pedicle bases.
The trabecular bone architecture and the vertical orientation of the facet joints suggest that walking may be the main activity that determines the lumbar vertebral bone architecture.
一项关于椎体小梁骨的形态学与有限元联合研究。
关联椎体小梁骨的形态与功能,以更好地理解腰椎的力学功能。
骨的结构与其力学功能密切相关(沃尔夫定律)。在人体脊柱中,椎体承受多种负荷。然而,这些骨骼呈现出典型的结构,这意味着它们承受典型的负荷。
从腰椎特定部位获取五个小梁骨立方体进行三维重建以进行计算机分析。通过骨体积分数和各向异性测量指标平均骨长度对标本结构进行量化。使用有限元模型计算均质椎体在基本负荷下的内部应力。对于每种负荷情况,将标本的骨体积分数与等效冯·米塞斯应力进行比较,并将平均骨长度与主应力方向进行比较。
在轴向压缩的生理负荷情况下,骨体积分数与冯·米塞斯应力相关性较差。然而,在多种负荷情况发生的部位(如椎弓根和终板附近)存在高骨体积分数。值得注意的是,这些部位也呈现出更精细的结构。平均骨长度与主应力的比较表明,椎体小梁骨结构尤其但并非完全对应于轴向压缩下的应力场。发现终板附近的水平支柱是由于健康椎间盘的功能所致,而小关节负荷引入的应力分量与椎弓根基部附近的骨结构相关性良好。
小梁骨结构和小关节的垂直方向表明,行走可能是决定腰椎骨结构的主要活动。