Espino Daniel M, Meakin Judith R, Hukins David W L, Reid Janet E
Department of Bio-Medical Physics and Bio-Engineering, University of Aberdeen, Foresterhill, Aberdeen, AB25 2ZD, UK.
Comput Methods Biomech Biomed Engin. 2003 Aug;6(4):243-8. doi: 10.1080/10255840310001606071.
Statistical methods allow the effects of uncertainty to be incorporated into finite element models. This has potential benefits for the analysis of biological systems where natural variability can give rise to substantial uncertainty in both material and geometrical properties. In this study, a simple model of the intervertebral disc under compression was created and analysed as both a deterministic and a stochastic system. Factorial analysis was used to determine the important parameters to be included in the stochastic analysis. The predictions from the model were compared to experimental results from 21 sheep discs. The size and shape of the distribution of the axial deformations predicted by the model was consistent with the experimental results given that the number of model solutions far exceeded the number of experimental results. Stochastic models could be valuable in determining the range and most likely value of stress in a tissue or implant.
统计方法可将不确定性的影响纳入有限元模型。这对于生物系统分析具有潜在益处，因为自然变异性会在材料和几何特性方面产生相当大的不确定性。在本研究中，创建了一个受压椎间盘的简单模型，并将其作为确定性系统和随机系统进行分析。采用因子分析来确定随机分析中应包含的重要参数。将模型的预测结果与21个绵羊椎间盘的实验结果进行了比较。鉴于模型解的数量远远超过实验结果的数量，模型预测的轴向变形分布的大小和形状与实验结果一致。随机模型在确定组织或植入物中应力的范围和最可能值方面可能很有价值。
