Zander Thomas, Dreischarf Marcel, Timm Anne-Katrin, Baumann Wolfgang W, Schmidt Hendrik
Julius Wolff Institute, Charité - Universitätsmedizin Berlin, Germany.
Julius Wolff Institute, Charité - Universitätsmedizin Berlin, Germany.
J Biomech. 2017 Feb 28;53:185-190. doi: 10.1016/j.jbiomech.2016.12.014. Epub 2016 Dec 16.
Finite element models are frequently used to study lumbar spinal biomechanics. Deterministic models are used to reflect a certain configuration, including the means of geometrical and material properties, while probabilistic models account for the inherent variability in the population. Because model parameters are generally uncertain, their predictive power is frequently questioned. In the present study, we determined the sensitivities of spinal forces and motions to material parameters of intervertebral discs, vertebrae, and ligaments and to lumbar morphology. We performed 1200 model simulations using a generic model of the human lumbar spine loaded under pure moments. Coefficients of determination and of variation were determined for all parameter and response combinations. Material properties of the vertebrae displayed the least impact on results, whereas those of the discs and morphology impacted most. The most affected results were the axial compression forces in the vertebral body and in several ligaments during flexion and the facet-joint forces during extension. Intervertebral rotations were considerably affected only when several parameters were varied simultaneously. Results can be used to decide which model parameters require careful consideration in deterministic models and which parameters might be omitted in probabilistic studies. Findings allow quantitative estimation of a model׳s precision.
有限元模型常用于研究腰椎生物力学。确定性模型用于反映特定的构型,包括几何和材料特性的均值,而概率模型则考虑了群体中的固有变异性。由于模型参数通常是不确定的,其预测能力经常受到质疑。在本研究中,我们确定了脊柱力和运动对椎间盘、椎体和韧带的材料参数以及腰椎形态的敏感性。我们使用在纯力矩作用下加载的人体腰椎通用模型进行了1200次模型模拟。确定了所有参数和响应组合的决定系数和变异系数。椎体的材料特性对结果的影响最小,而椎间盘和形态的材料特性影响最大。受影响最大的结果是在屈曲时椎体和几条韧带中的轴向压缩力以及在伸展时的小关节力。只有当几个参数同时变化时,椎间旋转才会受到显著影响。结果可用于确定在确定性模型中哪些模型参数需要仔细考虑,以及在概率研究中哪些参数可能被省略。研究结果允许对模型的精度进行定量估计。