Department of Mechanical Engineering, Karadeniz Technical University, Trabzon, Turkey.
Department of Mechanical Engineering, Karadeniz Technical University, Trabzon, Turkey.
Med Eng Phys. 2023 Aug;118:104024. doi: 10.1016/j.medengphy.2023.104024. Epub 2023 Jul 18.
Triply periodic minimal surface (TPMS) is known mathematically as a surface with mean curvature of zero and replicated in three directions infinitely. Providing the pore combination in porous structures with surface connections, they provide large surface areas. This study aims to determine the effects of the network solid and sheet solid structures in the three different TPMS architectures on bone regeneration. Evaluation is made for Diamond, Gyroid, and I-WP structures, which are widely preferred architectures in terms of mechanical strength. Scaffolds are modeled as both network solid and sheet solid unit cells with similar porosities (60%, 70%, and 80%). Flow analyses are performed with the Computational Fluid Dynamics method to determine of potential for bone cell development of scaffolds. The permeability, wall shear stress on the surfaces, and the flow velocity distribution of the scaffolds are obtained with these analyses. The permeability value of 18 scaffolds is between the permeability values determined for trabecular bone. The permeability of network solid TPMS scaffolds for the same architectures is higher than sheet solid TPMS scaffolds due to the low pressures generated. The maximum wall shear stress in scaffolds decreases as porosity increases. Since the maximum wall shear stresses occur in less than 0.1% area on the scaffold surfaces, it is more appropriate to examine distribution of these stresses on the scaffold surfaces. Sheet solid structures within TPMS are more advantageous for biomechanical environments due to their greater surface area at similar porosities, wall shear stress, and permeability values.
周期性极小曲面(TPMS)在数学上是指具有零平均曲率并在三个方向上无限复制的曲面。在多孔结构中提供孔组合与表面连接,它们提供了较大的表面积。本研究旨在确定三种不同 TPMS 结构中的网络固体和片固体结构对骨再生的影响。评估了 Diamond、Gyroid 和 I-WP 结构,这些结构在机械强度方面是广泛优选的结构。支架被建模为具有相似孔隙率(60%、70%和 80%)的网络固体和片固体单元。通过计算流体动力学方法进行流动分析,以确定支架对骨细胞发育的潜力。通过这些分析获得了支架的渗透性、表面壁面剪切应力和流速分布。18 个支架的渗透率值介于小梁骨确定的渗透率值之间。由于产生的压力较低,相同结构的网络固体 TPMS 支架的渗透率高于片固体 TPMS 支架。随着孔隙率的增加,支架中的最大壁面剪切应力减小。由于最大壁面剪切应力发生在支架表面不到 0.1%的区域内,因此更适合检查支架表面上这些应力的分布。由于在相似的孔隙率、壁面剪切应力和渗透率值下具有更大的表面积,因此 TPMS 中的片固体结构更有利于生物力学环境。