从模拟多孔介质的皮质骨中频率依赖性衰减推断孔隙率。
Inferring porosity from frequency dependent attenuation in cortical bone mimicking porous media.
作者信息
White R D, Yousefian Omid, Banks H T, Muller Marie
机构信息
Mathematics Department, CRSC North Carolina State University, Raleigh, NC 27695-8212, USA.
Mechanical and Aerospace Engineering Department North Carolina State University Raleigh, NC 27695-8212, USA.
出版信息
IEEE Int Ultrason Symp. 2018 Oct;2018. doi: 10.1109/ultsym.2018.8579776. Epub 2018 Dec 20.
Osteoporosis affects porosity in cortical bone. Quantifying levels of osteoporosis by inferring the micro-architectural properties from ultrasonic wave attenuation in cortical bone has yet to be done. In this work we use a phenomenological, power law model to describe the frequency dependent attenuation in non-absorbing porous media mimicking a simplified cortical bone structure. We optimize this model to fit data generated using a finite-difference, time domain (FDTD) numerical simulation. Model parameters are estimated using an ordinary least squares (OLS) formulation of the inverse problem. With these we determine linear, functional relationships between the model parameter estimates and the micro-architectural parameters, pore density and pore diameter. These relationships allow us to infer ranges of porosity from simulated attenuation data. Repeating this process for attenuation data collected from cortical bone samples could allow one to characterize the micro-architectural properties of bone.
骨质疏松症会影响皮质骨的孔隙率。通过从皮质骨中的超声波衰减推断微观结构特性来量化骨质疏松症的水平尚未实现。在这项工作中，我们使用一个唯象的幂律模型来描述在模拟简化皮质骨结构的非吸收性多孔介质中与频率相关的衰减。我们对该模型进行优化，以拟合使用有限差分、时域（FDTD）数值模拟生成的数据。使用逆问题的普通最小二乘法（OLS）公式估计模型参数。利用这些参数，我们确定模型参数估计值与微观结构参数、孔隙密度和孔径之间的线性函数关系。这些关系使我们能够从模拟的衰减数据中推断出孔隙率范围。对从皮质骨样本收集的衰减数据重复此过程，可以使人们表征骨的微观结构特性。
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