Novel Approach for EKG Signals Analysis Based on Markovian and Non-Markovian Fractalization Type in Scale Relativity Theory
Maricel Agop,
Stefan Irimiciuc,
Dan Dimitriu,
Cristina Marcela Rusu,
Andrei Zala,
Lucian Dobreci,
Adrian Valentin Cotîrleț,
Tudor-Cristian Petrescu,
Vlad Ghizdovat,
Lucian Eva,
Decebal Vasincu
Affiliations
Maricel Agop
Department of Physics, “Gh. Asachi” Technical University of Iasi, 700050 Iasi, Romania
Stefan Irimiciuc
National Institute for Laser, Plasma and Radiation Physics, 409 Atomistilor Street, 077125 Bucharest, Romania
Dan Dimitriu
Physics Faculty, Alexandru Ioan Cuza University of Iasi, 700050 Iasi, Romania
Cristina Marcela Rusu
Department of Physics, “Gh. Asachi” Technical University of Iasi, 700050 Iasi, Romania
Andrei Zala
Municipal Emergency Hospital Moineşti, 1 Zorilor Street, 605400 Bacau, Romania
Lucian Dobreci
Department of Physical and Occupational Therapy, Vasile Alecsandri University of Bacau, 600115 Bacau, Romania
Adrian Valentin Cotîrleț
Municipal Emergency Hospital Moineşti, 1 Zorilor Street, 605400 Bacau, Romania
Tudor-Cristian Petrescu
Department of Structural Mechanics, “Gh. Asachi” Technical University of Iasi, 700050 Iasi, Romania
Vlad Ghizdovat
Biophysics and Medical Physics Department, Faculty of Medicine, “Grigore T. Popa” University of Medicine and Pharmacy, 16 University Str., 700115 Iasi, Romania
Lucian Eva
Emergency Hospital “Prof. Dr. Nicolae Oblu”, 2 Ateneului Street, 700309 Iasi, Romania
Decebal Vasincu
Biophysics Department, Faculty of Dental Medicine,“Grigore T. Popa” University of Medicine and Pharmacy, 16 University Str., 700115 Iasi, Romania
Two distinct operational procedures are proposed for diagnosis and tracking of heart disease evolution (in particular atrial fibrillations). The first procedure, based on the application of non-linear dynamic methods (strange attractors, skewness, kurtosis, histograms, Lyapunov exponent, etc.) analyzes the electrical activity of the heart (electrocardiogram signals). The second procedure, based on multifractalization through Markovian and non-Markovian-type stochasticizations in the framework of the scale relativity theory, reconstructs any type of EKG signal by means of harmonic mappings from the usual space to the hyperbolic one. These mappings mime various scale transitions by differential geometries, in Riemann spaces with symmetries of SL(2R)-type. Then, the two operational procedures are not mutually exclusive, but rather become complementary, through their finality, which is gaining valuable information concerning fibrillation crises. As such, the author’s proposed method could be used for developing new models for medical diagnosis and evolution tracking of heart diseases (patterns dynamics, signal reconstruction, etc.).
