Nicholson P H, Cheng X G, Lowet G, Boonen S, Davie M W, Dequeker J, Van der Perre G
Division of Biomechanics and Engineering Design, Katholieke Universiteit Leuven, Belgium.
Med Eng Phys. 1997 Dec;19(8):729-37. doi: 10.1016/s1350-4533(97)00030-1.
The structural Young's modulus (i.e. that of the cancellous framework) was determined by non-destructive compressive mechanical testing in the three orthogonal axes of 48 vertebral bone cubes. In addition, the material Young's modulus (i.e. of the trabeculae themselves) was estimated using an ultrasonic technique. Apparent and true density were determined by direct physical measurements. Significant mechanical anisotropy was observed: mean structural Young's modulus varied from 165 MPa in the supero-inferior direction to 43 MPa in the lateral direction. Structural Young's modulus correlated with apparent density, with power-law regression models giving the best correlations (r2 = 0.52-0.88). Mechanical anisotropy increased as a function of decreasing apparent density (p < 0.001). Material Young's modulus was 10.0 +/- 1.3 GPa, and was negatively correlated with apparent density (p < 0.001). In multiple regression models, material Young's modulus was a significant independent predictor of structural Young's modulus only in the supero-inferior direction. The data suggest the presence of two effects in vertebral bone associated with decreasing apparent density and, by implication, bone loss in general: (a) increased mechanical anisotropy, such that there is relative conservation of stiffness in the axial direction compared with the transverse directions; and (b) increased stiffness of the trabeculae themselves.
通过对48个椎体骨立方体的三个正交轴进行无损压缩力学测试,测定了结构杨氏模量(即松质骨框架的杨氏模量)。此外,使用超声技术估算了材料杨氏模量(即小梁本身的杨氏模量)。通过直接物理测量确定表观密度和真实密度。观察到显著的力学各向异性:结构杨氏模量的平均值在上下方向为165兆帕,在横向方向为43兆帕。结构杨氏模量与表观密度相关,幂律回归模型的相关性最佳(r2 = 0.52 - 0.88)。力学各向异性随表观密度降低而增加(p < 0.001)。材料杨氏模量为10.0±1.3吉帕,与表观密度呈负相关(p < 0.001)。在多元回归模型中,材料杨氏模量仅在上下方向是结构杨氏模量的显著独立预测因子。数据表明,在椎体骨中存在两种与表观密度降低相关的效应,进而与一般的骨质流失相关:(a)力学各向异性增加,使得轴向刚度相对于横向刚度有相对保留;(b)小梁本身的刚度增加。