Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions
Two different operational procedures are proposed for evaluating and predicting the onset of epileptic and eclamptic seizures. The first procedure analyzes the electrical activity of the brain (EEG signals) using nonlinear dynamic methods (the time variations of the standard deviation, the variance,...
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| Format: | Article |
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MDPI AG
2021-06-01
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| Series: | Symmetry |
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| Online Access: | https://www.mdpi.com/2073-8994/13/6/1024 |
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| author | Stefan Andrei Irimiciuc Andrei Zala Dan Dimitriu Loredana Maria Himiniuc Maricel Agop Bogdan Florin Toma Laura Gabriela Gavril Decebal Vasincu Lucian Eva |
| author_facet | Stefan Andrei Irimiciuc Andrei Zala Dan Dimitriu Loredana Maria Himiniuc Maricel Agop Bogdan Florin Toma Laura Gabriela Gavril Decebal Vasincu Lucian Eva |
| author_sort | Stefan Andrei Irimiciuc |
| collection | DOAJ |
| description | Two different operational procedures are proposed for evaluating and predicting the onset of epileptic and eclamptic seizures. The first procedure analyzes the electrical activity of the brain (EEG signals) using nonlinear dynamic methods (the time variations of the standard deviation, the variance, the skewness and the kurtosis; the evolution in time of the spatial–temporal entropy; the variations of the Lyapunov coefficients, etc.). The second operational procedure reconstructs any type of EEG signal through harmonic mappings from the usual space to the hyperbolic one using the time homographic invariance of a multifractal-type Schrödinger equation in the framework of the scale relativity theory (i.e., in a multifractal paradigm of motions). More precisely, the explicit differential descriptions of the brain activity in the form of 2 × 2 matrices with real elements disclose, through the in-phase coherences at various scale resolutions (i.e., as scale transitions), the multitude of brain neuronal dynamics, especially sequences of epileptic and eclamptic seizures. These two operational procedures are not mutually exclusive, but rather become complementary, offering valuable information concerning epileptic and eclamptic seizures. In such context, the prediction of epileptic and eclamptic seizures becomes fundamental for patients not responding to medical treatment and also presenting an increased rate of seizure recurrence. |
| first_indexed | 2024-03-10T10:39:22Z |
| format | Article |
| id | doaj.art-b8fea45962a243f38a26a84b5150b312 |
| institution | Directory Open Access Journal |
| issn | 2073-8994 |
| language | English |
| last_indexed | 2024-03-10T10:39:22Z |
| publishDate | 2021-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Symmetry |
| spelling | doaj.art-b8fea45962a243f38a26a84b5150b3122023-11-21T23:06:12ZengMDPI AGSymmetry2073-89942021-06-01136102410.3390/sym13061024Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale TransitionsStefan Andrei Irimiciuc0Andrei Zala1Dan Dimitriu2Loredana Maria Himiniuc3Maricel Agop4Bogdan Florin Toma5Laura Gabriela Gavril6Decebal Vasincu7Lucian Eva8National Institute for Laser, Plasma and Radiation Physics, 409 Atomistilor Street, 077125 Bucharest, RomaniaMunicipal Emergency Hospital Moineşti, 1 Zorilor Street, 605400 Moinești, RomaniaFaculty of Physics, Alexandru Ioan Cuza University, 700506 Iasi, RomaniaObstetrics and Gynecology Department, Faculty of Medicine, “Gr. T. Popa” University of Medicine and Pharmacy, 700115 Iași, RomaniaDepartment of Physics, “Gh. Asachi” Technical University of Iasi, 700050 Iasi, RomaniaObstetrics and Gynecology Department, Faculty of Medicine, “Gr. T. Popa” University of Medicine and Pharmacy, 700115 Iași, RomaniaAnesthesia and Intensive Care Unit, Regional Institute of Oncology, 700115 Iasi, RomaniaBiophysics and Medical Physics Department, Faculty of Medicine, “Grigore T. Popa” University of Medicine and Pharmacy, 16 University Str., 700115 Iasi, RomaniaEmergency Hospital “Professor Doctor Nicolae Oblu”, 700309 Iasi, RomaniaTwo different operational procedures are proposed for evaluating and predicting the onset of epileptic and eclamptic seizures. The first procedure analyzes the electrical activity of the brain (EEG signals) using nonlinear dynamic methods (the time variations of the standard deviation, the variance, the skewness and the kurtosis; the evolution in time of the spatial–temporal entropy; the variations of the Lyapunov coefficients, etc.). The second operational procedure reconstructs any type of EEG signal through harmonic mappings from the usual space to the hyperbolic one using the time homographic invariance of a multifractal-type Schrödinger equation in the framework of the scale relativity theory (i.e., in a multifractal paradigm of motions). More precisely, the explicit differential descriptions of the brain activity in the form of 2 × 2 matrices with real elements disclose, through the in-phase coherences at various scale resolutions (i.e., as scale transitions), the multitude of brain neuronal dynamics, especially sequences of epileptic and eclamptic seizures. These two operational procedures are not mutually exclusive, but rather become complementary, offering valuable information concerning epileptic and eclamptic seizures. In such context, the prediction of epileptic and eclamptic seizures becomes fundamental for patients not responding to medical treatment and also presenting an increased rate of seizure recurrence.https://www.mdpi.com/2073-8994/13/6/1024brain activityepilepsyepileptic seizureelectroencephalogramfractal modelsignal |
| spellingShingle | Stefan Andrei Irimiciuc Andrei Zala Dan Dimitriu Loredana Maria Himiniuc Maricel Agop Bogdan Florin Toma Laura Gabriela Gavril Decebal Vasincu Lucian Eva Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions Symmetry brain activity epilepsy epileptic seizure electroencephalogram fractal model signal |
| title | Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions |
| title_full | Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions |
| title_fullStr | Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions |
| title_full_unstemmed | Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions |
| title_short | Novel Approach for EEG Signal Analysis in a Multifractal Paradigm of Motions. Epileptic and Eclamptic Seizures as Scale Transitions |
| title_sort | novel approach for eeg signal analysis in a multifractal paradigm of motions epileptic and eclamptic seizures as scale transitions |
| topic | brain activity epilepsy epileptic seizure electroencephalogram fractal model signal |
| url | https://www.mdpi.com/2073-8994/13/6/1024 |
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