Finite element analysis of trabecular bone structure: a comparison of image-based meshing techniques

In this study, we investigate if finite element (FE) analyses of human trabecular bone architecture based on 168 μm images can provide relevant information about the bone mechanical characteristics. Three human trabecular bone samples, one taken from the femoral head, one from the iliac crest, and one from the lumbar spine, were imaged with micro-computed tomography (micro-CT) using a 28 μm resolution. After reconstruction the resolution was coarsened to 168 μm. First, all reconstructions were thresholded and directly converted to FE-models built of hexahedral elements. For the coarser resolutions of two samples, this resulted in a loss of trabecular connections and a subsequent loss of stiffness. To reduce this effect, a tetrahedral element meshing based on the marching cubes algorithm, as well as a modified hexahedron meshing, which thresholds the image such that load carrying bone mass is preserved, were employed. For each sample elastic moduli and tissue Von Mises stresses of the three different 168 μm models were compared to those from the hexahedron 28 μm model. For one sample the hexahedron meshing at 168 μm produced excellent results. For the other two samples the results obtained from the hexahedral models at 168 μm resolution were poor. Considerably better results were attained for these samples when using the mass-compensated or tetrahedron meshing techniques. We conclude that the accuracy of the FE-models at 168 μm strongly depends on the bone morphology, in particular its trabecular thickness. A substantial loss of trabecular connections during the hexahedron meshing process indicates that poor FE results will be obtained. In this case the tetrahedron or mass-compensated hexahedron meshing techniques can reduce the loss of connections and produce better results than the plain hexahedron meshing techniques.     

蛋白质分子表面高质量网格构建技术的研究进展

分子表面即分子边界,在一定程度上蕴含了分子的生物化学属性信息,对分子表面进行分析将有助于理解分子对接、识别和相互作用等问题。由于蛋白质分子表面的构造相对复杂,尤其是分子表面的网格化,因此寻求高效的算法构建高质量的蛋白质分子表面网格对生成光滑的分子表面、分子可视化及分子模拟都有着重要的意义。本文主要根据现有定义的蛋白质分子表面,针对近年来几种高质量分子表面网格构建的新技术进行了阐述,同时介绍了几款蛋白质分子表面可视化软件,并对它们的性能进行了简单的分析。