The influence of bone volume fraction and ash fraction on bone strength and modulus
The influence of bone volume fraction and ash fraction on bone strength and modulus
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DOI：
10.1016/s8756-3282(01)00467-7
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发表时间：
2001-07-01
期刊：
影响因子：
4.1
通讯作者：
Carter, DR
中科院分区：
文献类型：
--
作者：
Hernandez, CJ;Beaupré, GS;Carter, DR
尽管已知骨强度和模量受到体积分数和矿物质含量（灰分）的影响，但这两个参数的相对影响仍然未知。单参数幂律函数广泛用于将骨体积或骨灰分数与骨强度和弹性模量联系起来。在本研究中，我们评估了利用骨体积分数 (BV/TV) 和灰分分数 (a) 的双参数幂律函数预测骨机械性能的潜力，其形式为 y = a(BV/TV)(b) alpha (c)（其中 y 是极限强度或弹性模量）。我们推导了骨体积分数作为表观密度和灰分分数的函数的表达式，以对 Keller 在 1994 年提出的数据进行新的分析。预测骨强度的指数 b 和 c 分别为 1.92 +/- 0.02 和 2.79 +/- 0.09（平均值 +/- SE），r(2) = 0.97。发现 b 的值与之前发现的一致，而 c 的值低于之前报告的值。对于弹性模量的预测，我们发现 b 和 c 分别为 2.58 +/- 0.02 和 2.74 +/- 0.13，其中 r2 = 0.97。与灰分分数相关的指数通常大于与骨体积分数相关的指数，这表明矿物质含量的变化通常会比骨体积分数的类似变化产生更大的骨强度和刚度变化。这些发现对于解释可能导致灰分和骨体积分数变化的抗骨吸收药物治疗的结果非常重要。 (C) 2001 年，Elsevier Science Inc. 保留所有权利。
Although bone strength and modulus are known to be influenced by both volume fraction and mineral content (ash fraction), the relative influence of these two parameters remains unknown. Single-parameter power law functions are used widely to relate bone volume or ash fraction to bone strength and elastic modulus. In this study we evaluate the potential for predicting bone mechanical properties with two-parameter power law functions of bone volume fraction (BV/TV) and ash fraction (a) of the form y = a(BV/TV)(b) alpha (c), (where y is either ultimate strength or elastic modulus). We derived an expression for bone volume fraction as a function of apparent density and ash fraction to perform a new analysis of data presented by Keller in 1994. Exponents b and c for the prediction of bone strength were found to be 1.92 +/- 0.02 and 2.79 +/- 0.09 (mean +/- SE), respectively, with r(2) = 0.97. The value of b was found to be consistent with that found previously, whereas the value of c was lower than values previously reported. For the prediction of elastic modulus we found b and c to be 2.58 +/- 0.02 and 2.74 +/- 0.13, respectively, with r2 = 0.97. The exponent related to ash fraction was typically larger than that associated with bone volume fraction, suggesting that a change in mineral content will, in general, generate a larger change in bone strength and stiffness than a similar change in bone volume fraction. These findings are important for interpreting the results of antiresorptive drug treatments that can cause changes in both ash and bone volume fraction. (C) 2001 by Elsevier Science Inc. All rights reserved.