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超声导波反演的力学参量评估皮质骨骨质状况的研究

Study on the evaluation of cortical bone using inverted mechanical parameters of ultrasound guided wave

  • 摘要: 超声导波既可以表征皮质骨的几何形态特征(如厚度、截面形状),还可以反映其力学特性(如骨密度、杨氏模量等)。本文利用超声导波频散曲线反演算法,通过皮质骨仿真实验和离体牛胫骨实验来探讨骨质疏松与皮质骨力学参量之间的相关性。结果显示皮质骨的厚度、杨氏模量和泊松比均反演准确;并随着皮质骨孔隙度的增加,杨氏模量和泊松比均与孔隙度呈现较强的相关性,杨氏模量为负相关,泊松比为正相关;杨氏模量变化系数均值为−0.45,泊松比变化系数均值为0.20,表明杨氏模量对孔隙度的变化敏感度更高,临床应用潜力更大。离体实验结果显示,反演算法得到的骨厚度与其真实值误差较小(误差均值为5.07%),反演参数对应的理论频散曲线与实测数据相吻合, 由此验证了该方法在真实骨上的可行性。杨氏模量、泊松比和皮质骨厚度等多指标能更加全面地反映骨骼的变化,对骨质疏松的预防和治疗有重要意义。

     

    Abstract: Ultrasonic guided waves can characterise both the geometrical features (e.g., thickness, cross-sectional shape) and mechanical properties (e.g., bone density, Young's modulus, etc.) of cortical bone. In this paper, the correlation between osteoporosis and the mechanical parameters of cortical bone was investigated using the ultrasonic guided wave dispersion curve inversion algorithm through cortical bone simulation experiments and isolated bovine tibia experiments. The results showed that the thickness, Young's modulus, and Poisson's ratio of cortical bone were accurately inverted. With the increase in cortical bone porosity, Young's modulus and Poisson's ratio exhibited a strong correlation with porosity: Young's modulus was negatively correlated, while Poisson's ratio was positively correlated. The mean coefficients of variation for Young's modulus and Poisson's ratio were −0.45 and 0.20, respectively, indicating that Young's modulus had higher sensitivity to changes in porosity and greater potential for clinical application. The results of the ex vivo experiments showed that the bone thickness obtained by the inversion algorithm had a small error (mean error of 5.07%), and the theoretical dispersion curves corresponding to the inversion parameters matched well with the measured data, verifying the feasibility of the inversion algorithm on real cortical bone. Since Young's modulus, Poisson's ratio, and cortical bone thickness provide a more comprehensive reflection of bone changes, they may be helpful in the prevention and treatment of osteoporosis.

     

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