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Predicting Structural Properties of Cortical Bone by Combining Ultrasonic Attenuation and an Artificial Neural Network (ANN): 2-D FDTD Study.通过结合超声衰减和人工神经网络（ANN）预测皮质骨的结构特性：二维时域有限差分（FDTD）研究
Image Anal Recognit. 2019 Aug;11662:407-417. doi: 10.1007/978-3-030-27202-9_37. Epub 2019 Aug 8.

本文引用的文献

1
The effect of pore size and density on ultrasonic attenuation in porous structures with mono-disperse random pore distribution: A two-dimensional in-silico study.孔径和密度对具有单分散随机孔分布的多孔结构中超声衰减的影响：二维计算机模拟研究。
J Acoust Soc Am. 2018 Aug;144(2):709. doi: 10.1121/1.5049782.
2
The Trabecular Bone Score Predicts Spine Fragility Fractures in Postmenopausal Caucasian Women Without Osteoporosis Independently of Bone Mineral Density.小梁骨评分可独立于骨密度预测无骨质疏松症的绝经后白种女性的脊柱脆性骨折。
Med Arch. 2018 Feb;72(1):46-50. doi: 10.5455/medarh.2018.72.46-50.
3
Cortical Bone Porosity: What Is It, Why Is It Important, and How Can We Detect It?皮质骨孔隙率：它是什么、为何重要以及我们如何检测它？
Curr Osteoporos Rep. 2016 Oct;14(5):187-98. doi: 10.1007/s11914-016-0319-y.
4
Bone mechanical properties and changes with osteoporosis.骨骼力学性能及骨质疏松症导致的变化
Injury. 2016 Jun;47 Suppl 2(Suppl 2):S11-20. doi: 10.1016/S0020-1383(16)47003-8.
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Volumetric Cortical Bone Porosity Assessment with MR Imaging: Validation and Clinical Feasibility.基于磁共振成像的皮质骨体积孔隙率评估：验证与临床可行性
Radiology. 2015 Aug;276(2):526-35. doi: 10.1148/radiol.15141850.
6
Combined estimation of thickness and velocities using ultrasound guided waves: a pioneering study on in vitro cortical bone samples.使用超声导波联合估计厚度和速度：对体外皮质骨样本的一项开创性研究。
IEEE Trans Ultrason Ferroelectr Freq Control. 2014 Sep;61(9):1478-88. doi: 10.1109/TUFFC.2014.3062.
7
Cortical porosity identifies women with osteopenia at increased risk for forearm fractures.皮质疏松症使骨质减少的女性具有更高的前臂骨折风险。
J Bone Miner Res. 2014 Jun;29(6):1356-62. doi: 10.1002/jbmr.2167.
8
Age-related changes in trabecular and cortical bone microstructure.与年龄相关的小梁骨和皮质骨微观结构的变化。
Int J Endocrinol. 2013;2013:213234. doi: 10.1155/2013/213234. Epub 2013 Mar 18.
9
Three-dimensional simulation of ultrasound propagation through trabecular bone structures measured by synchrotron microtomography.通过同步加速器显微断层扫描测量的小梁骨结构中超声传播的三维模拟。
Phys Med Biol. 2005 Dec 7;50(23):5545-56. doi: 10.1088/0031-9155/50/23/009. Epub 2005 Nov 8.
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An update on the diagnosis and assessment of osteoporosis with densitometry. Committee of Scientific Advisors, International Osteoporosis Foundation.骨密度测定在骨质疏松症诊断与评估中的最新进展。国际骨质疏松基金会科学顾问委员会
Osteoporos Int. 2000;11(3):192-202. doi: 10.1007/s001980050281.

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.

DOI:10.1109/ultsym.2018.8579776
PMID:39070156
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC11281349/
Abstract

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.

摘要

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。