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Fractal analysis in the quantification of medical imaging associated with multiple sclerosis pathology
Maria-Alexandra Paun1,2, Mihai-Virgil Nichita3, Vladimir-Alexandru Paun4
1Department of Engineering, Swiss Federal Institute of Technology (EPFL), 1015 Lausanne, Vaud, Switzerland.
Backgrounds:
Multiple sclerosis (MS) is an inveterate phlogistic situation characterized by focal and vaguely diffusive de-myelination and neurodegeneration, in the sphere of central nervous system (CNS). The brain's chronic inflammatory reaction includes astrocyte stimulation and microglial motivation, as well as macrophages marginal conscription. This lasting serious soreness of the brain is connected with neurodegeneration period and disability advance.
Methods:
The present study is considering two main purposes as follows. Primarily, to apply the fractal analysis in the idea of documenting the fractals dominance at all stages of the nervous system hierarchy, giving faith to the precept of their funciar relevancy. Secondly, to take into account the problems unresolved of the thorough connections between self-organized criticality concept and self-similarity notion. More precisely, in reality we will obtain information about the fractal size and lacunarity of magnetic resonance imaging (MRI), on the areas of interest of the brain, rich in microglial cells with fringes from peripheral macrophages cells.
Results:
This approach will play a decisive role in the action of detecting neural disabilities, such as in particular multiple sclerosis cortical onset, the final goal of our investigation. The diagnosis is based on interpretation of both histological sample pictures and images obtained by nuclear magnetic resonance. Using fractal analysis, we have calculated, for each image separately, both the fractal dimension and the lacunarity, as an objective quantitative measure of the demyelinating action.
Conclusions:
For three histopathological samples on glial cells, with visible erosions, the fractal dimension has value over 1.89 and the lacunarity value is between 0.050 and 0.079. In the gray level stages of the studied MRI pictures, the fractal dimension is above the value of 1.7 and the lacunarity is between the values of 0.0286 and 0.0393.
Insights
Fractal analysis of brain MRI and histology images quantifies demyelination in multiple sclerosis (MS). This method offers objective measures for detecting neural disabilities and disease progression in the central nervous system (CNS).
Area of Science:
- Neuroscience
- Medical Imaging
- Biophysics
Background:
- Multiple sclerosis (MS) is a chronic inflammatory disease of the central nervous system (CNS) causing demyelination and neurodegeneration.
- Inflammation in MS involves glial cells, including microglia and infiltrating macrophages.
- Neurodegeneration in MS correlates with disease progression and disability.
Purpose of the Study:
- To apply fractal analysis to quantify fractal dominance in the nervous system hierarchy.
- To investigate the relationship between self-organized criticality and self-similarity in MS.
- To measure fractal dimension and lacunarity in brain MRI and histological images of MS lesions.
Main Methods:
- Fractal analysis was applied to magnetic resonance imaging (MRI) and histological images.
- Calculated fractal dimension and lacunarity for regions of interest in the brain.
- Focused on areas with microglial activation and peripheral macrophage infiltration.
Main Results:
- Histopathological samples of glial cells with erosions showed fractal dimension > 1.89 and lacunarity between 0.050-0.079.
- Brain MRI images displayed fractal dimension > 1.7 and lacunarity between 0.0286-0.0393.
- These quantitative measures objectively reflect the demyelinating process in MS.
Conclusions:
- Fractal analysis provides objective quantitative measures of demyelination in MS.
- This approach aids in detecting neural disabilities, particularly cortical onset in MS.
- The findings support the utility of fractal geometry in understanding MS pathology and diagnosis.

