van Ruijven L J, Mulder L, van Eijden T M G J
Department of Functional Anatomy, Academic Centre for Dentistry Amsterdam (ACTA), Universiteit van Amsterdam and Vrije Universiteit, Meibergdreef 15, 1105 AZ Amsterdam, The Netherlands.
J Biomech. 2007;40(6):1211-8. doi: 10.1016/j.jbiomech.2006.06.004. Epub 2006 Aug 28.
The mechanical properties of bone depend largely on its degree and distribution of mineralization. The present study analyzes the effect of an inhomogeneous distribution of mineralization on the stress and strain distributions in the human mandibular condyle during static clenching. A condyle was scanned with a micro-CT scanner to create a finite element model. For every voxel the degree of mineralization (DMB) was determined from the micro-CT scan. The Young's moduli of the elements were calculated from the DMB using constant, linear, and cubic relations, respectively. Stresses, strains, and displacements in cortical and trabecular bone, as well as the condylar deformation (extension along the antero-posterion axis) and compliance were compared. Over 90% of the bone mineral was located in the cortical bone. The DMB showed large variations in both cortical bone (mean: 884, SD: 111 mg/cm(3)) and trabecular bone (mean: 738, SD: 101 mg/cm(3)). Variations of the stresses and the strains were small in cortical bone, but large in trabecular bone. In the cortical bone an inhomogeneous mineral distribution increased the stresses and the strains. In the trabecular bone, however, it decreased the stresses and increased the strains. Furthermore, the condylar compliance remained relatively constant, but the condylar deformation doubled. It was concluded that neglect of the inhomogeneity of the mineral distribution results in a large underestimation of the stresses and strains of possibly more than 50%. The stiffness of trabecular bone strongly influences the condylar deformation. Vice versa, the condylar deformation largely determines the magnitude of the strains in the trabecular bone.
骨骼的力学性能在很大程度上取决于其矿化程度和分布。本研究分析了矿化不均匀分布对人类下颌髁突在静态紧咬过程中应力和应变分布的影响。使用微型CT扫描仪对一个髁突进行扫描以创建有限元模型。对于每个体素,从微型CT扫描中确定矿化程度(DMB)。分别使用常数、线性和立方关系从DMB计算单元的杨氏模量。比较了皮质骨和小梁骨中的应力、应变和位移,以及髁突变形(沿前后轴的伸展)和顺应性。超过90%的骨矿物质位于皮质骨中。DMB在皮质骨(平均值:884,标准差:111mg/cm³)和小梁骨(平均值:738,标准差:101mg/cm³)中均表现出较大差异。皮质骨中应力和应变的变化较小,但小梁骨中变化较大。在皮质骨中,不均匀的矿物质分布增加了应力和应变。然而,在小梁骨中,它降低了应力并增加了应变。此外,髁突顺应性保持相对恒定,但髁突变形增加了一倍。得出的结论是,忽略矿物质分布的不均匀性会导致对应力和应变的大幅低估,可能超过50%。小梁骨的刚度强烈影响髁突变形。反之,髁突变形在很大程度上决定了小梁骨中应变的大小。