Fractal analysis in diagnostic printing in cases of neurodegenerative disorder: Alzheimer type

Abstract

Alzheimer's disease is a degenerative neurological disorder that comes with the aging process characterized by cognitive, affective and behavioral deficits. a possible method that can support the diagnosis and treatment of Alzheimer's disease is called fractal geometry, given that the brain has fractal structure, therefore, Alzheimer's disease is an observed progressive process of alterations within the groups of topographic voxels, which means that a geometrical fractal analysis can support the diagnosis of the disease. For this purpose, a double blind clinical trial study was designed, calculating the fractal dimension and the lagunarity of magnetic resonance imaging of the cerebral cortex of patients with the neurological report of Alzheimer's disease, implementing the box-counting method or "entropy of kolmogorov", by means of a software with logarithm FracLac (p=1.029). As a relevant result, a characteristic fractal pattern was evidenced in the images of patients with Alzheimer's disease, which allowed to postulate the mathematical method as a possible analysis to complement the clinical order in the diagnostic assessment.