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3D geometry analysis of the medial meniscus – a statistical shape modeling approach

机译:内侧半月板的3D几何分析–统计形状建模方法

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摘要

The geometry-dependent functioning of the meniscus indicates that detailed knowledge on 3D meniscus geometry and its inter-subject variation is essential to design well functioning anatomically shaped meniscus replacements. Therefore, the aim of this study was to quantify 3D meniscus geometry and to determine whether variation in medial meniscus geometry is size- or shape-driven. Also we performed a cluster analysis to identify distinct morphological groups of medial menisci and assessed whether meniscal geometry is gender-dependent. A statistical shape model was created, containing the meniscus geometries of 35 subjects (20 females, 15 males) that were obtained from MR images. A principal component analysis was performed to determine the most important modes of geometry variation and the characteristic changes per principal component were evaluated. Each meniscus from the original dataset was then reconstructed as a linear combination of principal components. This allowed the comparison of male and female menisci, and a cluster analysis to determine distinct morphological meniscus groups. Of the variation in medial meniscus geometry, 53.8% was found to be due to primarily size-related differences and 29.6% due to shape differences. Shape changes were most prominent in the cross-sectional plane, rather than in the transverse plane. Significant differences between male and female menisci were only found for principal component 1, which predominantly reflected size differences. The cluster analysis resulted in four clusters, yet these clusters represented two statistically different meniscal shapes, as differences between cluster 1, 2 and 4 were only present for principal component 1. This study illustrates that differences in meniscal geometry cannot be explained by scaling only, but that different meniscal shapes can be distinguished. Functional analysis, e.g. through finite element modeling, is required to assess whether these distinct shapes actually influence the biomechanical performance of the meniscus.
机译:弯月面的几何形状相关功能表明,有关3D弯月面几何形状及其对象间变化的详细知识对于设计功能良好的解剖形状弯月面替换至关重要。因此,本研究的目的是量化3D弯月面几何形状,并确定内侧弯月面几何形状的变化是受尺寸还是形状驱动。我们还进行了聚类分析,以识别内侧半月板的不同形态组,并评估半月板的几何形状是否与性别有关。创建了一个统计形状模型,其中包含从MR图像中获得的35位受试者(20位女性,15位男性)的半月板几何形状。进行主成分分析以确定最重要的几何变化模式,并评估每个主成分的特征变化。然后将原始数据集中的每个弯液面重建为主要成分的线性组合。这样可以比较男性和女性半月板,并进行聚类分析以确定不同的形态半月板组。在内侧半月板几何形状的变化中,发现53.8%的主要原因是尺寸相关的差异,而29.6%的原因是形状差异。形状变化在横截面而不是横截面中最明显。仅在主要成分1中发现了男性和女性半月板之间的显着差异,主要反映了大小差异。聚类分析得出四个聚类,但是这些聚类代表了两个统计上不同的半月板形状,因为聚类1、2和4之间的差异仅针对主要成分1。但是可以区分出不同的半月板形状。功能分析,例如需要通过有限元建模来评估这些不同的形状是否确实影响弯月面的生物力学性能。

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