Fractal Features of Muscle to Quantify Fatty Infiltration in Aging and Pathology

IF 3.6 2区 数学 Q1 MATHEMATICS, INTERDISCIPLINARY APPLICATIONS Fractal and Fractional Pub Date : 2024-05-06 DOI:10.3390/fractalfract8050275
Annamaria Zaia, Martina Zannotti, Lucia Losa, Pierluigi Maponi
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Abstract

The physiological loss OF muscle mass and strength with aging is referred to as “sarcopenia”, whose combined effect with osteoporosis is a serious threat to the elderly, accounting for decreased mobility and increased risk of falls with consequent fractures. In previous studies, we observed a high degree of inter-individual variability in paraspinal muscle fatty infiltration, one of the most relevant indices of muscle wasting. This aspect led us to develop a computerized method to quantitatively characterize muscle fatty infiltration in aging and diseases. Magnetic resonance images of paraspinal muscles from 58 women of different ages (age range of 23–85 years) and physio-pathological status (healthy young, pre-menopause, menopause, and osteoporosis) were used to set up a method based on fractal-derived texture analysis of lean muscle area (contractile muscle) to estimate muscle fatty infiltration. In particular, lacunarity was computed by parameter β from the GBA (gliding box algorithm) curvilinear plot fitted by our hyperbola model function. Succolarity was estimated by parameter µ, for the four main directions through an algorithm implemented with this purpose. The results show that lacunarity, by quantifying muscle fatty infiltration, can discriminate between osteoporosis and healthy aging, while succolarity can separate the other three groups showing similar lacunarity. Therefore, fractal-derived features of contractile muscle, by measuring fatty infiltration, can represent good indices of sarcopenia in aging and disease.
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用肌肉的分形特征量化衰老和病理中的脂肪浸润
随着年龄的增长,肌肉质量和力量的生理性丧失被称为 "肌肉疏松症",它与骨质疏松症的共同作用对老年人构成严重威胁,导致老年人活动能力下降,跌倒风险增加,进而引发骨折。在之前的研究中,我们观察到脊柱旁肌肉脂肪浸润的个体间差异很大,而脂肪浸润是肌肉萎缩最相关的指标之一。这促使我们开发了一种计算机化方法,用于定量描述衰老和疾病中肌肉脂肪浸润的特征。我们利用 58 位不同年龄(23-85 岁)和生理病理状态(健康青年、绝经前、绝经期和骨质疏松症)的女性脊柱旁肌肉的磁共振图像,建立了一种基于瘦肌面积(收缩肌)分形衍生纹理分析的方法,以估算肌肉脂肪浸润。其中,裂隙度是通过双曲线模型函数拟合的 GBA(滑行盒算法)曲线图中的参数 β 计算得出的。对于四个主要方向的骤变性,则通过为此目的而实施的算法,用参数 µ 进行估算。结果表明,通过量化肌肉脂肪浸润的裂隙度可以区分骨质疏松症和健康衰老,而琥珀色度则可以区分显示类似裂隙度的其他三组。因此,通过测量脂肪浸润,分形衍生的收缩肌特征可以很好地反映衰老和疾病中的肌肉疏松症。
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来源期刊
Fractal and Fractional
Fractal and Fractional MATHEMATICS, INTERDISCIPLINARY APPLICATIONS-
CiteScore
4.60
自引率
18.50%
发文量
632
审稿时长
11 weeks
期刊介绍: Fractal and Fractional is an international, scientific, peer-reviewed, open access journal that focuses on the study of fractals and fractional calculus, as well as their applications across various fields of science and engineering. It is published monthly online by MDPI and offers a cutting-edge platform for research papers, reviews, and short notes in this specialized area. The journal, identified by ISSN 2504-3110, encourages scientists to submit their experimental and theoretical findings in great detail, with no limits on the length of manuscripts to ensure reproducibility. A key objective is to facilitate the publication of detailed research, including experimental procedures and calculations. "Fractal and Fractional" also stands out for its unique offerings: it warmly welcomes manuscripts related to research proposals and innovative ideas, and allows for the deposition of electronic files containing detailed calculations and experimental protocols as supplementary material.
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