各向异性松质骨弹性性能有限元分析

骨质疏松会导致松质骨细化从而降低松质骨力学性能。为了评估椎体松质骨的力学特性,文中采用有限元参数化建模,利用十四面体模型模拟棒状小梁骨的微结构,对各向异性松质骨的弹性性能进行了计算分析。通过控制输入参数Tb.Th、Tb.Sp、E0模拟不同骨质疏松程度的松质骨。计算结果表明,松质骨模量与骨体积分数呈平方律关系;随着各向异性比的增加,松质骨纵、横向模量间的比值呈线性增加,而横向两个模量保持基本一致。结果说明该微结构模型较好地反映了松质骨的横观各向同性性质,并能较好地反映受载松质骨的应力分布。     

跟骨、月骨、头状骨松质骨粘弹性实验研究

研究了跟骨、月骨、头状骨松质骨的粘弹性力学性质。对跟骨松质骨纵向、横向、4 5°方向和月骨、头状骨松质骨进行压缩应力松弛、蠕变实验。得出了跟骨松质骨纵向、横向、4 5°方向和月骨松质骨、头状骨松质骨压缩应力松弛、蠕变数据和曲线。用回归分析的方法处理实验数据 ,得出了归一化应力松驰函数 ,蠕变函数及曲线。实验结果表明跟骨松质骨纵向压缩应力松弛、蠕变量均大于横向和 4 5°方向 ;头状骨松质骨初始蠕变量大于月骨松质骨 ,月骨与头状骨 2 h内蠕变量、松弛量差异并不显著。     

一种力学-生物学因素耦联的松质骨骨质疏松过程计算模型

目的是研究力学因素和生物学因素在松质骨骨质疏松过程中的作用。根据骨重建的生理过程，在基本多细胞单位（BMUs）层次建立了一个力学因素和生物学因素耦联的，带有时间历程的松质骨骨质疏松过程计算模型。通过调整模型中的力学因素和生物学因素，模拟了妇女绝经期骨量变化过程，其模拟结果与Recker等临床观测结果非常接近。可见，本研究提出的松质骨骨质疏松过程计算模型可以很好地描述松质骨的骨质疏松过程，为中老年群体防治骨质疏松提供理论基础和计算分析方法。     

骨质疏松的数值模拟研究

目的对骨质疏松松质骨的力学性质进行数值模拟研究。方法利用均匀化理论研究骨质疏松松质骨的力学性质。结果松质骨的弹性模量（E）与表观密度（ρ）和断裂度（γ）三者之间的数值关系为E=0．38^3.6p-3.76γ,这一结果不仅具有理论意义．更具有重要的实践价值。结论研究表明松质骨的表观密度和断裂度是影响松质骨力学性质的最主要因素．进一步强调了骨微结构对骨强度的影响。     

卵巢切除及雌二醇对大鼠腰椎松质骨微结构的作用及其生物力学性能的分析

应用micro-CT获得腰椎松质骨微结构的三维参数,分析卵巢切除术与雌二醇干预对大鼠松质骨微结构及整体骨生物力学性能的作用,初步讨论松质骨微结构的改变对生物力学性能的影响.6月龄未交配雌性SD大鼠30只,随机分成3组(每组10只):假手术对照组(Sham)、去卵巢组(OVX)和去卵巢 补充雌二醇组(EBT).术后相同条件饲养5个月,取第3腰椎进行生物力学压缩试验,第4腰椎行micro-CT扫描.结果表明,与相应的Sham组比较,OVX组的BV/TV、Tb.N均明显下降,Tb.Sp和SMI明显增高.EBT组的BV/TV、Tb.N和Tb.Th均大于OVX组,Tb.Th和SMI明显小于OVX组.骨力学性能检测显示OVX组腰椎松质骨E、Fmax和σmax均明显降低,而EBT组上述骨生物力学参数均明显改善.通过micro-CT获得的骨微结构参数并结合骨力学性能检测能为合理评价骨质疏松及抗骨质疏松药物药效研究提供较好的实验依据.     

松质骨细观分析及破坏机理的实验研究

本文对人胜骨近段的松质骨的变形破坏机理进行了实验和理论分析：在对松质骨力学性能实验及对进行了拉伸扫描电镜观察实验,拍摄的松质骨在不同受力载荷级别下原位观察SEM照片和断口SEM照片,可从细观的角度探讨松质骨的变形和破坏现象。在此基础上运用细观力学模型对松质骨压缩及拉伸的力学行为进行了分析,得出了弹性模量与相对密度的关系,与实验结果基本吻合。松质骨细观分析及破坏机理的实验研究@郭玉明$太原理工大学!太原030024 @朱健$太原理工大学!太原030024 @赵兴国$太原理工大学!太原030024 @段荣$太原理工大学!太原0…     

椎体骨微结构参数与椎弓根螺钉固定强度的相关性

目的 测量不同骨密度（bone mineral density, BMD）条件下椎体松质骨显微结构参数,并与椎弓根螺钉拔出力作相关性分析,以了解与螺钉稳定性相关的骨显微结构参数,进一步明确螺钉松动的原因。方法 采用新鲜尸体脊柱标本,根据BMD检测结果,按临床诊断标准分为骨质正常、骨量减少、骨质疏松和重度骨质疏松4个水平。然后植入椎弓根螺钉,进行螺钉轴向拔出实验,测定最大拔出力（maximum pullout strength, MPS）。收集螺钉拔出实验后椎体标本,在椎体中央部钻取松质骨柱状样本,对样本进行显微CT扫描,获取椎体松质骨显微结构参数,并进行各项指标的不同BMD水平间的比较分析,在了解这些指标随骨质疏松程度加重的变化规律的基础上,再对骨显微结构参数与所对应的螺钉MPS开展相关性分析。结果BMD水平从正常下降到重度疏松程度,MPS随之显著性下降。随BMD水平的依梯次下降,即骨质疏松程度进行性加重,椎体松质骨显微结构参数发生相应明显变化,存在BMD水平间的显著性差异。广泛的相关性存在于BMD、显微CT参数和螺钉MPS指标之间。其中,螺钉MPS与显微CT扫描所得的骨体积分数（BV/TV）、骨小梁厚度（Tb.Th）和小梁间隙（Tb.Sp）呈高度相关性。结论 随BMD下降,骨组织会同时发生质的退变;螺钉MPS与部分骨显微结构参数高度相关。     

去睾丸大鼠骨形态计量学的研究

目的：探讨4月龄雄性大鼠去睾丸后骨量的变化，重点比较松质骨和皮质骨骨代谢的变化。方法：20只4月龄SD雄性大鼠，随机分为假手术组（A组）和去睾丸组（B组），同等条件下饲养90d后，取腰椎和胫骨中段行不脱钙制片进行骨形态计量学观察。结果：去睾丸组与假手术组比较，前者腰椎松质骨吸收增加、骨形成下降（P〈0．05），出现明显骨质疏松；皮质骨外膜的骨形成动态参数如矿化沉积率、骨形成率下降（P〈0．05），内膜骨形成和吸收均有增加趋势。结论：去睾丸90d能使大鼠松质骨出现骨质疏松，皮质骨丢失不如松质骨显著。松质骨对去睾丸敏感性比皮质骨高。     

骨质疏松症对松质骨骨小梁应力与微损伤关系的影响

目的应用显微CT和微有限元分析评估微损伤、微骨折骨小梁的应力、应变,探讨骨质疏松症对骨小梁应力和微损伤、微骨折之间关系的影响。方法通过显微CT扫描健康和骨质疏松人体髋臼松质骨,构建松质骨块三维微有限元模型,在无摩擦的位移边界条件下模拟松质骨块的单轴压缩实验,通过非线性微有限元分析得到在不同表观应变下骨小梁的应力、应变、微损伤和微骨折。结果 0.05%~0.50%表观应变下,健康和骨质疏松松质骨未损伤骨小梁的应力在50 MPa以下,微损伤骨小梁应力在110 MPa以上。健康松质骨骨小梁的平均应力相对较高,骨质疏松松质骨骨小梁最高应力值相对较高。健康和骨质疏松松质骨骨小梁均出现微损伤,健康松质骨骨小梁微损伤较多,骨质疏松骨骨小梁出现微骨折。结论在表观小应变范围内,健康松质骨骨小梁能承受更高的应力,出现较多的微损伤,而骨质疏松松质骨高应力骨小梁群内出现微骨折。     

松质骨性质的超声波估值方法研究进展

松质骨是人骨的两种主要的组成形式之一。松质骨的代谢率是密度骨的八倍,与年龄和代谢有关的骨的生物力学性质的变化主要发生在松质骨［１］。同时,松质骨是老年性骨质疏松性骨折易发部位,如腰椎骨,股骨近端和桡骨远端骨组织的主要组成部分,松质骨分别承担了该部位的５０～７５％载荷。据报道,我国在１９９４年有８３００万人患有骨质疏松症,预计到２０５０年我国的骨质疏松患者将达到２．１亿［２］。由于骨质疏松症带来的松质骨的生物力学性质显著恶化,患者极易发生骨折,这已成为一个世界性的社会问题。因此,发展灵敏度高,能够…     

Measurement of airborne ultrasonic slow waves in calcaneal cancellous bone.

Measurements of an airborne ultrasonic wave were made in defatted cancellous bone from the human calcaneus using standard ultrasonic equipment. The wave propagating under these conditions was consistent with a decoupled Biot slow wave travelling in the air alone, as previously reported in gas-saturated foams. Reproducible measurements of phase velocity and attenuation coefficient were possible, and an estimate of the tortuosity of the trabecular framework was derived from the high frequency limit of the phase velocity. Thus the method offers a new approach to the acoustic characterisation of bone in vitro which, in contrast to existing techniques, has the potential to yield information directly characterising the trabecular structure.     

Empirical angle-dependent Biot and MBA models for acoustic anisotropy in cancellous bone

The Biot and the modified Biot-Attenborough (MBA) models have been found useful to understand ultrasonic wave propagation in cancellous bone. However, neither of the models, as previously applied to cancellous bone, allows for the angular dependence of acoustic properties with direction. The present study aims to account for the acoustic anisotropy in cancellous bone, by introducing empirical angle-dependent input parameters, as defined for a highly oriented structure, into the Biot and the MBA models. The anisotropy of the angle-dependent Biot model is attributed to the variation in the elastic moduli of the skeletal frame with respect to the trabecular alignment. The angle-dependent MBA model employs a simple empirical way of using the parametric fit for the fast and the slow wave speeds. The angle-dependent models were used to predict both the fast and slow wave velocities as a function of propagation angle with respect to the trabecular alignment of cancellous bone. The predictions were compared with those of the Schoenberg model for anisotropy in cancellous bone and in vitro experimental measurements from the literature. The angle-dependent models successfully predicted the angular dependence of phase velocity of the fast wave with direction. The root-mean-square errors of the measured versus predicted fast wave velocities were 79.2 m s(-1) (angle-dependent Biot model) and 36.1 m s(-1) (angle-dependent MBA model). They also predicted the fact that the slow wave is nearly independent of propagation angle for angles about 50 degrees , but consistently underestimated the slow wave velocity with the root-mean-square errors of 187.2 m s(-1) (angle-dependent Biot model) and 240.8 m s(-1) (angle-dependent MBA model). The study indicates that the angle-dependent models reasonably replicate the acoustic anisotropy in cancellous bone.     

How to determine the permeability for cement infiltration of osteoporotic cancellous bone

Cement augmentation is an emerging surgical procedure in which bone cement is used to infiltrate and reinforce osteoporotic vertebrae. Although this infiltration procedure has been widely applied, it is performed empirically and little is known about the flow characteristics of cement during the injection process. We present a theoretical and experimental approach to investigate the intertrabecular bone permeability during the infiltration procedure. The cement permeability was considered to be dependent on time, bone porosity, and cement viscosity in our analysis. In order to determine the time-dependent permeability, ten cancellous bone cores were harvested from osteoporotic vertebrae, infiltrated with acrylic cement at a constant flow rate, and the pressure drop across the cores during the infiltration was measured. The viscosity dependence of the permeability was determined based on published experimental data. The theoretical model for the permeability as a function of bone porosity and time was then fit to the testing data. Our findings suggest that the intertrabecular bone permeability depends strongly on time. For instance, the initial permeability (60.89 mm(4)/N(*)s) reduced to approximately 63% of its original value within 18 seconds. This study is the first to analyze cement flow through osteoporotic bone. The theoretical and experimental models provided in this paper are generic. Thus, they can be used to systematically study and optimize the infiltration process for clinical practice.     

The interaction of ultrasound with cancellous bone.

The Biot theory is used in an attempt to explain the frequency dependence of ultrasonic attenuation, f(alpha), in cancellous bone. Measurements of f(alpha) in samples of cancellous bone are compared with values calculated using parameters established from bone samples by statistical histomorphometry. Ultrasonic attenuation in cancellous bone correlates with trabecular bone volume but the Biot theory, although producing qualitative agreement produces quantitative results which are significantly deviant using parameters presently available. At the present time, too many of the Biot parameters are insufficiently defined for cancellous bone, to allow a complete test of the model.     

Progression of osteoporosis in cancellous bone depending on trabecular structure

Progression of osteoporosis is caused by a decline in bone formation activity relative to the resorption activity. In this paper, the authors carried out a theoretical analysis of the progression of osteoporosis to estimate the osteoporotic change in the upper end of the femur. According to this analysis, the progression rate of osteoporosis in cancellous bone depends on the product of remodeling activity,R _act, and the trabecular structure parameter,K _tr. To confirm that the theoretical results were reasonably comparable to actual osteoporotic change, these two factors were measured in rabbits. From the results, it was concluded that the highest progression rate was shown in bar/barlike trabecular structure (type 3); the next highest rate, was shown in plate/bar-like structure (type 2); and the plate/plate-like structure (type 1) was the most insensible. Furthermore, the bone volume fractions of cancellous bone were measured at the upper end of human femurs with and without osteoporosis. Then the measured value was compared with the theoretical value for each type of trabecular structure. Results showed that the decrease in bone volume fraction predicted by Eq. 7 was well in accord with the actual decrease.     

Effect of marrow on the high frequency ultrasonic properties of cancellous bone

A number of investigators have performed in vitro measurements of cancellous bone to determine how various ultrasonic parameters depend on bone density and trabecular orientation. To facilitate handling and storage of bone specimens, the marrow is often removed prior to ultrasonic measurements. However, the assumption that marrow does not affect ultrasonic measurements at high frequencies (>1 MHz) has not been tested. The goal of this study is to determine the effect of marrow on the ultrasonic properties of bovine cancellous bone at frequencies greater than 1 MHz. Twelve specimens of cancellous bone were obtained from the proximal end of four bovine tibia. Ultrasonic measurements consisting of normalized broadband ultrasonic attenuation (nBUA), speed of sound (SOS) and apparent integrated backscatter (AIB) were measured in each specimen using 2.25 MHz (centre frequency) broadband ultrasonic pulses. These measurements were performed before and after marrow removal either along the superoinferior (SI) or mediolateral (ML) direction. SOS and nBUA showed no significant difference (p > 0.05) for either direction of propagation after marrow removal. AIB showed no significant difference in the SI direction. For the ML direction, a small but statistically significant difference (p = 0.044) was observed after marrow removal.     

基于声速微扰的松质骨超声参数分析和计算

在生物组织非均匀连续介质模型的基础上，采用声速微扰法，通过分别改变入射频率、松质骨孔隙度及骨小梁特征尺寸等三个参数，对松质骨中的超声背向散射系数和由于散射而引起的衰减进行了分析。分析结果表明：由于散射而引起的衰减占松质骨中总的超声衰减的26％左右；当松质骨孔隙度在0．61附近时，衰减和背向散射系数均达到最大值。     

Inhomogeneity of tissue-level strain distributions in individual trabeculae: mathematical model studies of normal and osteoporosis cases

Little is known about the distributions of mechanical strains and stresses in individual trabeculae of cancellous bone, despite evidence that tissue-level strains affect the metabolism of bone. Recently, micro-finite element (micro-FE) studies have provided the first insights into the mechanical conditions in trabeculae, and suggested that osteoporotic cancellous bone experience higher and substantially less-uniform strains with respect to healthy cancellous bone. We may therefore ask whether the inhomogeneity of bone tissue strains is predominantly a consequence of micro-architectural differences between trabeculae, or is it mostly caused by the curvatures of each individual trabecula. Accordingly, the objectives of the present study were to determine the contribution of the shape of a trabecula to the intra-trabecula strain inhomogeneity, and to determine potential differences in intra-trabecula strain inhomogeneities between normal and thinner, osteoporotic-like trabeculae. We employed our previously reported generic single-trabecula model, which is a mathematical representation of the shape of a trabecula based on statistical analyses of mammalian trabecular dimensions. The single-trabecula model was loaded axially and in bending, and strain distributions were calculated for individual trabeculae as well as for "populations" of trabeculae, formed by assigning different trabecular thickness values in the trabecular model, in order to represent the distributions of trabecular shapes in normal and osteoporotic bones. We found that when subjected to equivalent loads, thinner, osteoporotic-like individual trabeculae and populations of thin trabeculae developed substantially greater strain inhomogeneities compared with normal trabeculae. We conclude that the intra-trabecula strain inhomogeneities are likely to be an important factor contributing to the overall increased strain inhomogeneity in osteoporotic cancellous bone, as previously observed in micro-FE studies.     

A biomechanical study comparing a raft of 3.5 mm cortical screws with 6.5 mm cancellous screws in depressed tibial plateau fractures

There has been a recent trend towards using a raft of small diameter 3.5mm cortical screws for supporting depressed tibial plateau fractures (Schatzker type III). Our aim was to compare the biomechanical properties of a raft of 3.5 mm cortical screws with that of 6.5 mm cancellous screws in a synthetic bone model. Ten rigid polyurethane foam (sawbone) blocks, with a density simulating osteoporotic bone and ten blocks with a density simulating normal density bone were obtained. A Schatzker type III fracture was created in each block. The fracture fragments were then elevated and supported using two 6.5 mm cancellous screws in ten blocks and four 3.5 mm cortical screws in the remaining. The fractures were loaded using a Lloyd testing machine. The mean force needed to produce a depression of 5 mm was 700.8 N with the four-screw construct and 512.4 N with the two-screw construct in the osteoporotic model. This difference was highly statistically significant (p = 0.009). The mean force required to produce the same depression was 1878.2 N with the two-screw construct and 1938.2 N with the four-screw construct in the non-osteoporotic model. Though the difference was not statistically significant (p = 0.42), an increased fragmentation of the synthetic bone fragments was noticed with the two-screw construct but not with the four-screw construct. A raft of four 3.5 mm cortical screws is biomechanically stronger than two 6.5 mm cancellous screws in resisting axial compression in osteoporotic bone.