van Lenthe G H, van den Bergh J P, Hermus A R, Huiskes R
Orthopedic Research Laboratory, Institute of Orthopedics, University of Nijmegen, The Netherlands.
J Bone Miner Res. 2001 Mar;16(3):550-5. doi: 10.1359/jbmr.2001.16.3.550.
Osteoporosis commonly is assessed by bone quantity, using bone mineral density (BMD) measurements from dual-energy X-ray absorptiometry (DXA). However, such a measure gives neither information about the integrity of the trabecular architecture nor about the mechanical properties of the constituting trabeculae. We investigated the feasibility of deriving the elastic modulus of the trabeculae (the tissue modulus) from computer simulation of mechanical testing by microfinite element analysis (muFEA) in combination with measurements of ultrasound speed of sound (SOS) and BMD measurements. This approach was tested on 15 postmortem bovine bone cubes. The apparent elastic modulus of the specimens was estimated from SOS measurements in combination with BMD. Then the trabecular morphology was reconstructed using microcomputed tomography (muCT). From the reconstruction a mesh for muFEA was derived, used to simulate mechanical testing. The tissue modulus was found by correlating the apparent moduli of the specimens as assessed by ultrasound with the ones as determined with muFEA. A mean tissue modulus of 4.5 GPa (SD, 0.69) was found. When adjusting the muFEA-determined elastic moduli of the entire specimens with their calculated tissue modulus, an overall correlation of R2 = 96% with ultrasound-predicted values was obtained. We conclude that the apparent elastic stiffness characteristics as determined from ultrasound correlate linearly with those from muFEA. From both methods in combination, the elastic stiffness of the mineralized tissue can be determined as an estimator for mechanical tissue quality. This method can already be used for biopsy specimens, and potentially could be applicable in vivo as well, when clinical CT or magnetic resonance imaging (MRI) tools with adequate resolution reach the market. In this way, mechanical bone quality could be estimated more accurately in clinical practice.
骨质疏松症通常通过骨量进行评估,采用双能X线吸收法(DXA)测量骨矿物质密度(BMD)。然而,这种测量方法既不能提供有关小梁结构完整性的信息,也不能提供有关构成小梁的力学性能的信息。我们研究了通过微有限元分析(muFEA)进行机械测试的计算机模拟,并结合超声声速(SOS)测量和BMD测量来推导小梁弹性模量(组织模量)的可行性。该方法在15个死后牛骨立方体上进行了测试。通过SOS测量结合BMD来估计标本的表观弹性模量。然后使用微计算机断层扫描(muCT)重建小梁形态。从重建中导出用于muFEA的网格,用于模拟机械测试。通过将超声评估的标本表观模量与muFEA确定的表观模量相关联来找到组织模量。发现平均组织模量为4.5 GPa(标准差,0.69)。当用计算出的组织模量调整整个标本的muFEA确定的弹性模量时,与超声预测值的总体相关性为R2 = 96%。我们得出结论,超声确定的表观弹性刚度特征与muFEA确定的特征呈线性相关。结合这两种方法,可以确定矿化组织的弹性刚度,作为机械组织质量的估计值。这种方法已经可以用于活检标本,并且当具有足够分辨率的临床CT或磁共振成像(MRI)工具上市时,也有可能适用于体内。通过这种方式,可以在临床实践中更准确地估计骨的力学质量。