Predictions of the elastic modulus of trabecular bone in the femoral head and the intertrochanter: a solitary wave-based approach

Predictions of the elastic modulus of trabecular bone in the femoral head and the intertrochanter: a solitary wave-based approach
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股骨头和转子间骨小梁弹性模量的预测:基于孤立波的方法

DOI:
10.1007/s10237-021-01473-1
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发表时间:
2021
影响因子:
3.5
通讯作者:
Tae
Tae
中科院分区:
工程技术2区
文献类型:
--
作者:
Sangyoung Yoon;A. Schiffer;I. Jang;Sungmun Lee;Tae

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本文利用一维颗粒链中的孤立波,通过特定部位的骨质量评估,对股骨头(FH)和转子间(IT)区域的骨小梁弹性模量进行了数值预测。为了准确评估骨质量,使用基于拓扑优化的骨微结构重建方案生成FH和IT的骨微结构的高分辨率有限元模型。然后建立了一个混合离散元/有限元(DE/FE)模型来研究颗粒链中高度非线性孤立波与生成的骨微结构的相互作用。为了更可靠地预测骨骼的力学性能,在最后一个链颗粒和骨骼微观结构之间的界面放置了一个面片,允许更多的骨骼体积参与与孤立波相互作用时的动态变形。通过分析两次主反射孤立波的特征,采用混合DE/FE模型预测了IT和FH的弹性模量。研究发现,孤立波相互作用对骨微观结构的弹性模量高度敏感,可用于识别骨密度的差异。此外,研究发现,使用相对坚硬的面板显著降低了波相互作用对骨测试表面局部刚度变化的敏感性,从而增强了所提出方法的鲁棒性和可靠性。我们还研究了面板厚度对反射孤立波特性的影响,发现如果在评估过程中考虑主反射孤立波,则在模量预测中误差最小的最佳厚度为FH为4 mm, IT为2 mm。我们设想提出的诊断方案,结合实际患者的3d打印高分辨率骨模型,可以为当前特定部位骨质量评估的局限性提供可行的解决方案。
This paper deals with the numerical prediction of the elastic modulus of trabecular bone in the femoral head (FH) and the intertrochanteric (IT) region via site-specific bone quality assessment using solitary waves in a one-dimensional granular chain. For accurate evaluation of bone quality, high-resolution finite element models of bone microstructures in both FH and IT are generated using a topology optimization-based bone microstructure reconstruction scheme. A hybrid discrete element/finite element (DE/FE) model is then developed to study the interaction of highly nonlinear solitary waves in a granular chain with the generated bone microstructures. For more robust and reliable prediction of the bone’s mechanical properties, a face sheet is placed at the interface between the last chain particle and the bone microstructure, allowing more bone volume to be engaged in the dynamic deformation during interaction with the solitary wave. The hybrid DE/FE model was used to predict the elastic modulus of the IT and FH by analysing the characteristic features of the two primary reflected solitary waves. It was found that the solitary wave interaction is highly sensitive to the elastic modulus of the bone microstructure and can be used to identify differences in bone density. Moreover, it was found that the use of a relatively stiff face sheet significantly reduces the sensitivity of the wave interaction to local stiffness variations across the test surface of the bone, thereby enhancing the robustness and reliability of the proposed method. We also studied the effect of the face sheet thickness on the characteristics of the reflected solitary waves and found that the optimal thickness that minimizes the error in the modulus predictions is 4 mm for the FH and 2 mm for the IT, if the primary reflected solitary wave is considered in the evaluation process. We envisage that the proposed diagnostic scheme, in conjunction with 3D-printed high-resolution bone models of an actual patient, could provide a viable solution to current limitations in site-specific bone quality assessment.
DOI: 10.1016/0021-9290(94)90014-0
发表时间: 1994-04-01
影响因子: 2.4
作者:
GOULET, RW;GOLDSTEIN, SA;FELDKAMP, LA
通讯作者: FELDKAMP, LA
DOI: 10.1088/1361-665x/ab9b5b
发表时间: 2020-08-01
影响因子: 4.1
作者:
Jalali, Hoda;Rizzo, Piervincenzo
通讯作者: Rizzo, Piervincenzo