Evaluation of cerebellar aging in MRI images: Fractal analysis compared to Euclidean geometry-based morphometry

Nataliia Maryenko, Oleksandr Stepanenko
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Abstract

Objectives

This study aimed to identify age-related changes in the fractal dimensions of the cerebellum and compare the sensitivity of fractal analysis and conventional Euclidean geometry-based morphometry to cerebellar aging.

Material and methods

Two-dimensional T2-weighted magnetic resonance images from the brains of 100 conditionally healthy individuals (44 males and 56 females) aged 18–86 years were examined, with a focus on mid-sagittal sections of the cerebellar vermis. We determined ten parameters derived from Euclidean geometry (perimeter, area, and indices calculated from them), along with seven fractal dimension values derived from fractal geometry (the approximated fractal dimensions of the overall cerebellar tissue, white matter, overall cerebellar cortex and its granular and molecular layers, outer contour, and digital skeleton).

Results

Fractal dimensions demonstrated stronger correlation relationships with age compared to morphometric parameters derived from Euclidean geometry. The most pronounced age-related declines were observed in the approximated fractal dimensions of the cerebellar cortex and its layers, with decreases also noted in the fractal dimensions of the outer contour and digital cerebellar skeleton. Fractal dimension values did not significantly differ between males and females, while several Euclidean geometry-derived parameters showed sexual dimorphism. Although males demonstrated stronger relationships of some studied parameters with age, there was no statistically significant difference in the sex-related dynamics of aging.

Conclusion

The normal aging of the cerebellum involves not only absolute size alterations but also changes in the texture and spatial configuration of cerebellar tissue components, which can be quantitatively and objectively assessed by fractal analysis.

Abstract Image

磁共振成像图像中的小脑老化评估:分形分析与基于欧氏几何的形态测量法的比较
本研究旨在确定小脑分形维度与年龄有关的变化,并比较分形分析和基于欧几里得几何的传统形态测量法对小脑衰老的敏感性。材料和方法研究人员检查了 100 名年龄在 18-86 岁之间的条件健康者(男性 44 人,女性 56 人)的大脑二维 T2 加权磁共振图像,重点是小脑蚓部的中矢状切片。我们确定了欧几里得几何得出的十个参数(周长、面积和由它们计算出的指数),以及分形几何得出的七个分形维度值(整体小脑组织、白质、整体小脑皮质及其颗粒层和分子层、外轮廓和数字骨架的近似分形维度)。小脑皮质及其各层的近似分形维度与年龄的相关性下降最为明显,外轮廓和数字小脑骨架的分形维度也有所下降。男性和女性的分形维度值没有显著差异,而几个欧几里得几何衍生参数则显示出性别二态性。结论:小脑的正常衰老不仅涉及绝对大小的改变,还涉及小脑组织成分的质地和空间构型的变化,这些变化可通过分形分析进行定量和客观评估。
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