Mizrahi J, Silva M J, Hayes W C
Department of Orthopaedic Surgery, Charles A. Dana Research Institute, Beth Israel Hospital, Boston, MA 02215.
J Biomed Eng. 1992 Nov;14(6):467-75. doi: 10.1016/0141-5425(92)90098-6.
A three-dimensional finite element model of a lumbar vertebral body was developed to study the effects of geometry, material properties and loading conditions on stresses in the presence of metastatic lesions. Parameters studied included location and size of the lesion, modulus of the cortical and trabecular bone within and near the lesion, generalized osteoporosis and load distribution. The results, expressed as ratios of peak values of displacement and stress, relative to a normal baseline case, indicated that the location of a defect which did not penetrate the cortex had a minor influence on the peak displacement and stresses, as did the presence of lesions occupying less than 40% of the volume of the vertebral centrum. A lesion occupying 40% of the centrum volume increased the endplate displacement by 2.9 times, the peak tensile stress in the cortical shell by 2.2 times, and the peak von Mises stress in the endplate by 2.8 times. When this lesion penetrated the cortex, these values increased to 3.8, 3.3 and 4.4 times, respectively. The most severe case involved a defect penetrating the anterior cortex, osteoporotic bone properties and anteriorly eccentric loading. In this case, the peak values increased to 8.4, 3.4 and 5.9 times their baseline values, respectively. The results are consistent with a model of the vertebral body as a stiff frame of cortical bone surrounding a relatively compliant core of trabecular bone. Only variations in geometry and properties large enough to lessen significantly the structural stiffness affect the peak stresses and displacements.(ABSTRACT TRUNCATED AT 250 WORDS)
建立了腰椎椎体的三维有限元模型,以研究几何形状、材料特性和加载条件对存在转移性病变时应力的影响。研究的参数包括病变的位置和大小、病变内部及附近皮质骨和松质骨的模量、全身性骨质疏松和载荷分布。结果以位移和应力峰值与正常基线情况的比值表示,表明未穿透皮质的缺损位置对峰值位移和应力影响较小,占据椎体中心体积小于40%的病变情况也是如此。占据中心体积40%的病变使终板位移增加2.9倍,皮质壳中的峰值拉应力增加2.2倍,终板中的峰值冯·米塞斯应力增加2.8倍。当该病变穿透皮质时,这些值分别增至3.8倍、3.3倍和4.4倍。最严重的情况是缺损穿透前皮质、骨质疏松的骨特性和前侧偏心加载。在这种情况下,峰值分别增至其基线值的8.4倍、3.4倍和5.9倍。结果与椎体模型一致,即椎体是由皮质骨构成的刚性框架围绕着相对柔顺的松质骨核心。只有几何形状和特性的变化足够大,显著降低结构刚度,才会影响峰值应力和位移。(摘要截断于250字)