Random field assessment of nanoscopic inhomogeneity of bone.
Random field assessment of nanoscopic inhomogeneity of bone.
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DOI：
10.1016/j.bone.2010.08.021
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发表时间：
2010-12
期刊：
影响因子：
4.1
通讯作者：
Wang, Xiaodu
中科院分区：
文献类型：
--
作者：
Dong, X. Neil;Luo, Qing;Sparkman, Daniel M.;Millwater, Harry R.;Wang, Xiaodu
骨质量与材料和超微结构特性的不均匀分布显著相关（例如，模量和矿化）。现有的非均匀性量化方法主要采用描述性统计方法，如平均值、标准差和变异系数。然而，这些参数不能描述骨特性的空间变化。本研究的目的是开发一种新的统计方法来表征和定量描述骨特性的空间变异在超微结构水平。为此，使用由指数协方差函数定义的随机场，通过描绘骨板中不同位置处的弹性模量的相关性来呈现弹性模量的空间不确定性。利用协方差函数的特征参数相关长度来估计随机场中弹性模量的涨落。使用这种方法，骨板内的弹性模量的两个分布图，使用模拟和原子力显微镜和纳米压痕技术相结合的实验获得的那些相比。模拟生成的弹性模量图与实验结果吻合较好，验证了随机场方法在确定骨板弹性模量不均匀性方面的有效性。事实上，这种随机场的生成将有助于在更实用的细节中对骨骼进行多尺度建模。
Bone quality is significantly correlated with the inhomogeneous distribution of material and ultrastructural properties (e.g., modulus and mineralization) of the tissue. Current techniques for quantifying inhomogeneity consist of descriptive statistics such as mean, standard deviation and coefficient of variation. However, these parameters do not describe the spatial variations of bone properties. The objective of this study was to develop a novel statistical method to characterize and quantitatively describe the spatial variation of bone properties at ultrastructural levels. To do so, a random field defined by an exponential covariance function was used to present the spatial uncertainty of elastic modulus by delineating the correlation of the modulus at different locations in bone lamellae. The correlation length, a characteristic parameter of the covariance function, was employed to estimate the fluctuation of the elastic modulus in the random field. Using this approach, two distribution maps of the elastic modulus within bone lamellae were generated using simulation and compared with those obtained experimentally by a combination of atomic force microscopy and nanoindentation techniques. The simulation-generated maps of elastic modulus were in close agreement with the experimental ones, thus validating the random field approach in defining the inhomogeneity of elastic modulus in lamellae of bone. Indeed, generation of such random fields will facilitate multi-scale modeling of bone in more pragmatic details.
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影响因子：
4.1
作者：
Busse, Bjoern;Hahn, Michael;Amling, Michael
通讯作者：
Amling, Michael
影响因子：
4.1
作者：
Pothuaud, Laurent;Carceller, Pascal;Hans, Didier
通讯作者：
Hans, Didier
影响因子：
2.4
作者：
Hofmann, Tobias;Heyroth, Frank;Raum, Kay
通讯作者：
Raum, Kay
影响因子：
4.2
作者：
Rho, JY
通讯作者：
Rho, JY
DOI：
10.1111/j.1365-2389.1986.tb00392.x
发表时间：
1986-12-01
期刊：
JOURNAL OF SOIL SCIENCE
影响因子：
--
作者：
MCBRATNEY, AB;WEBSTER, R
通讯作者：
WEBSTER, R