Fagan M J, Julian S, Siddall D J, Mohsen A M
Department of Engineering, University of Hull, UK.
Proc Inst Mech Eng H. 2002;216(5):299-314. doi: 10.1243/09544110260216577.
If patient-specific finite element models of the spine could be developed, they would offer enormous opportunities in the diagnosis and management of back problems. Several generic models have been developed in the past, but there has been very little detailed examination of the sensitivity of these models' characteristics to the input parameters. This relationship must be thoroughly understood if representative patient-specific models are to be realized and used with confidence. In particular, the performance of the intervertebral discs are central to any spine model and need detailed investigation first. A generic non-linear model of an intervertebral disc was developed and subjected to compressive, flexion and torsional loading regimes. The effects of both material and geometric non-linearities were investigated for the three loading schemes and the results compared with experimental data. The basic material properties of the fibres, annulus and nucleus were then varied and the effects on the stiffness, annulus bulge and annulus stresses analysed. The results showed that the non-linear geometry assumption had a significant effect on the compression characteristics, whereas the non-linear material option did not. In contrast, the material non-linearity was more important for the flexural and torsional loading schemes. Thus, the inclusion of non-linear material and geometry analysis options in finite element models of intervertebral discs is necessary to predict in vivo load-deflection characteristics accurately. When the influence of the material properties was examined in detail, it was found that the fibre properties did not have a significant effect on the compressive stiffness of the disc but did affect the flexural and torsional stiffnesses by up to +/-20 per cent. All loading modes were sensitive to the annulus properties with stiffnesses varying by up to +/-16 per cent. The model also revealed that for a particular compressive deformation or flexural or torsional rotation, the disc bulge was not sensitive to any of the material properties over the range of properties considered. The annulus stresses did differ significantly as the material properties were varied (up to 70 per cent under a compressive load and 60 per cent during disc flexion).
如果能够开发出针对个体患者的脊柱有限元模型,那么它们将为背部问题的诊断和治疗提供巨大的机会。过去已经开发了几种通用模型,但对于这些模型的特性对输入参数的敏感性,几乎没有进行过详细研究。如果要实现并可靠地使用具有代表性的个体患者模型,就必须彻底理解这种关系。特别是,椎间盘的性能对于任何脊柱模型来说都是核心,需要首先进行详细研究。开发了一种通用的椎间盘非线性模型,并使其承受压缩、弯曲和扭转加载状态。针对这三种加载方案,研究了材料和几何非线性的影响,并将结果与实验数据进行了比较。然后改变纤维、纤维环和髓核的基本材料特性,并分析其对刚度、纤维环凸起和纤维环应力的影响。结果表明,非线性几何假设对压缩特性有显著影响,而非线性材料选项则没有。相比之下,材料非线性对于弯曲和扭转加载方案更为重要。因此,在椎间盘有限元模型中纳入非线性材料和几何分析选项,对于准确预测体内载荷-挠度特性是必要的。当详细研究材料特性的影响时,发现纤维特性对椎间盘的压缩刚度没有显著影响,但对弯曲和扭转刚度的影响高达±20%。所有加载模式对纤维环特性都很敏感,刚度变化高达±16%。该模型还表明,对于特定的压缩变形或弯曲或扭转旋转,在所考虑的材料特性范围内,椎间盘凸起对任何材料特性都不敏感。随着材料特性的变化,纤维环应力确实有显著差异(压缩载荷下高达70%,椎间盘弯曲时高达60%)。