Wang Ji, Zhou Bin, Liu X Sherry, Fields Aaron J, Sanyal Arnav, Shi Xiutao, Adams Mark, Keaveny Tony M, Guo X Edward
Bone Bioengineering Laboratory, Department of Biomedical Engineering, Columbia University, New York, NY, USA.
Bone Bioengineering Laboratory, Department of Biomedical Engineering, Columbia University, New York, NY, USA; McKay Orthopaedic Research Laboratory, Department of Orthopaedic Surgery, University of Pennsylvania, Philadelphia, PA, USA.
Bone. 2015 Mar;72:71-80. doi: 10.1016/j.bone.2014.11.006. Epub 2014 Nov 15.
The microstructure of trabecular bone is usually perceived as a collection of plate-like and rod-like trabeculae, which can be determined from the emerging high-resolution skeletal imaging modalities such as micro-computed tomography (μCT) or clinical high-resolution peripheral quantitative CT (HR-pQCT) using the individual trabecula segmentation (ITS) technique. It has been shown that the ITS-based plate and rod parameters are highly correlated with elastic modulus and yield strength of human trabecular bone. In the current study, plate-rod (PR) finite element (FE) models were constructed completely based on ITS-identified individual trabecular plates and rods. We hypothesized that PR FE can accurately and efficiently predict elastic modulus and yield strength of human trabecular bone. Human trabecular bone cores from proximal tibia (PT), femoral neck (FN) and greater trochanter (GT) were scanned by μCT. Specimen-specific ITS-based PR FE models were generated for each μCT image and corresponding voxel-based FE models were also generated in comparison. Both types of specimen-specific models were subjected to nonlinear FE analysis to predict the apparent elastic modulus and yield strength using the same trabecular bone tissue properties. Then, mechanical tests were performed to experimentally measure the apparent modulus and yield strength. Strong linear correlations for both elastic modulus (r(2) = 0.97) and yield strength (r(2) = 0.96) were found between the PR FE model predictions and experimental measures, suggesting that trabecular plate and rod morphology adequately captures three-dimensional (3D) microarchitecture of human trabecular bone. In addition, the PR FE model predictions in both elastic modulus and yield strength were highly correlated with the voxel-based FE models (r(2) = 0.99, r(2) = 0.98, respectively), resulted from the original 3D images without the PR segmentation. In conclusion, the ITS-based PR models predicted accurately both elastic modulus and yield strength determined experimentally across three distinct anatomic sites. Trabecular plates and rods accurately determine elastic modulus and yield strength of human trabecular bone.
松质骨的微观结构通常被视为板状和杆状小梁的集合,这可以通过新兴的高分辨率骨骼成像模态来确定,如显微计算机断层扫描(μCT)或临床高分辨率外周定量CT(HR-pQCT),使用个体小梁分割(ITS)技术。研究表明,基于ITS的板和杆参数与人体松质骨的弹性模量和屈服强度高度相关。在本研究中,板-杆(PR)有限元(FE)模型完全基于ITS识别的个体小梁板和杆构建。我们假设PR FE可以准确有效地预测人体松质骨的弹性模量和屈服强度。通过μCT扫描来自胫骨近端(PT)、股骨颈(FN)和大转子(GT)的人体松质骨核心。为每个μCT图像生成基于标本特异性ITS的PR FE模型,并生成相应的基于体素的FE模型进行比较。两种类型的标本特异性模型都进行了非线性有限元分析,以使用相同的松质骨组织特性预测表观弹性模量和屈服强度。然后,进行力学测试以实验测量表观模量和屈服强度。在PR FE模型预测和实验测量之间发现弹性模量(r(2) = 0.97)和屈服强度(r(2) = 0.96)都有很强的线性相关性,表明小梁板和杆形态充分捕捉了人体松质骨的三维(3D)微观结构。此外,弹性模量和屈服强度的PR FE模型预测与基于体素的FE模型高度相关(分别为r(2) = 0.99,r(2) = 0.98),这是由未经PR分割的原始3D图像得出的。总之,基于ITS的PR模型准确预测了在三个不同解剖部位实验测定的弹性模量和屈服强度。小梁板和杆准确地决定了人体松质骨的弹性模量和屈服强度。