The Fractal Analysis of the Images and Signals in Medical Diagnostics

Abstract

In the present chapter, we summarize our results concerning fractal analysis of some medical data. The aim of this study is to identify the inherent human body "chaotic" dynamics and insufficient disclosure of the physical essence of the processes observed, depending on the extent of developing a pathology that is characterized by a decrease or increase in the degree of complexity and as a consequence-randomness, for which, in some cases, hidden fractal. The proposed approach based on identifying the presence of the properties of self-similarity can be useful in preliminary clinical trials for the diagnosis of cancerous epithelial diseases, blood, and liver in the initial stage, the analysis of digital images, the structure of correlations biomedical parameters, as well as in the study of pathologies of the central nervous system-the neurological, neurodegenerative disorders, psychiatric disorders, and may be the basis for the development of the interface "brain-computer", on the basis of electroencephalography and magnetoencephalography. Additional measures are proposed to study the presence of self-similar properties in the form of self-similarity and magnitude SRGB ratio (area of a triangle in the coordinate system of the properties).

Smart-Data-Driven System for Alzheimer Disease Detection through Electroencephalographic Signals

“…The concept of phase space represents the set of all possible states through which a dynamic system can pass over time. There are two main exponents which provide a comprehensive framework of chaos [17,31].…”

“…In fact, monitoring the selfsimilarity of the brain rhythms allows the characterization of the patient clinical condition. Fractal feature extraction such as the Higuchi fractal dimension is considered to be helpful in EEG signal classification [31].…”

Fractal and inertia moment analysis of SARS CoV-2 proliferation through replication

“…From the exploration of images through IM and fractal signature, displayed by an object or process, its evolution kinetics can be studied [3][4][5][6]. Today, image analysis has emerged as a powerful tool of medical diagnosis [6][7][8][9] apart from is technological applications [10]. This paper is the first report of employing fractal dimension and IM values to unveil the replication kinetics of coronavirus (CoV).…”