Analysis of Epileptic Seizures Stages through Attractor Dynamics

Vlad Ghizdovat - Biophysics and Medical Physics Department, “Grigore T. Popa” University of Medicine and Pharmacy, 700115 Iasi, Romania (RO), Lucian Dobreci - Department of Physical and Occupational Therapy, “Vasile Alecsandri” University of Bacau, Bacau, Romania (RO), Adina Camelia Slicaru - Department of Physical and Occupational Therapy, “Vasile Alecsandri” University of Bacau, Bacau, Romania (RO), Mihaela-Alina Cristuta - Department of Physical and Occupational Therapy, “Vasile Alecsandri” University of Bacau, Bacau, Romania (RO), Dan Gheorghe Dimitriu - Faculty of Physics, “Alexandru Ioan Cuza” University, Blvd. Carol I, no. 11, Iasi 700506, Romania (RO), Cipriana Stefanescu - Biophysics and Medical Physics Department, “Grigore T. Popa” University of Medicine and Pharmacy, 700115 Iasi, Romania (RO), Decebal Vasincu - Faculty of Dental Medicine, University of Medicine and Pharmacy Grigore T. Popa Iași, 700050 Iași, Romania (RO), Razvan-Vasile Ababei - Faculty of Physics, “Alexandru Ioan Cuza” University, Blvd. Carol I, no. 11, Iasi 700506, Romania (RO), Constantin Volovat - Department of Medical Oncology-Radiotherapy, “Grigore T. Popa” University of Medicine and Pharmacy, 16 University Str, Iasi 700115, Romania (RO), Maricel Agop - Physics Department, “Gheorghe Asachi” Technical University, Prof. dr. docent Dimitrie Mangeron Rd., No. 59A, 700050, Iasi, Romania (RO), Lucian Eva - Emergency Hospital “Prof. Dr. Nicolae Oblu”, 2 Ateneului Street, Iasi - 700309, Romania (RO), Simona Ruxandra Volovat - Department of Medical Oncology-Radiotherapy, “Grigore T. Popa” University of Medicine and Pharmacy, 16 University Str, Iasi 700115, Romania (RO),

Abstract


By employing mathematical procedures specific to non-linear dynamics, we devised a method for analyzing all the stages of an epileptic crisis. It can be seen that a specific attractor (reconstructed in the states space by time delay method) can be associated with each stage of the brain dynamics: normal functioning and epileptic crisis (pre-crisis, epileptic seizure, post-crisis). Moreover, since for each attractor a Hurst coefficient can be determined, we can state that each stage of an epileptic seizure can be characterized either by calculating the specific Hurst coefficient, or by calculating its fractal dimension.

Keywords


EEG, epileptic seizure, attractors, nonlinear dynamics

Full Text:

PDF


(C) 2010-2024 EduSoft