Analysis of Epileptic Seizures Stages through Attractor Dynamics

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.