A Comparison Between Modeling a Normal and an Epileptic State Using the FHN and the Epileptor Model

In spite of important technological developments in the medical field and particularly in neuroscience one, epilepsy remained a serious pathology that could affect the human brain. In this work, we modeled a healthy and an epileptic cerebral activity in rest state. We used, the virtual brain TVB toolbox to simulate the two states based on FHN and epileptor model. We compared phase plane spaces, electrophysiological time series (electroencephalogram EEG, magnetoencephalogram MEG and intracerabral EEG), specter of eigenvalues transition matrix and topographic maps for healthy and epileptic rest state. There is a unique metastable state for healthy cerebral dynamics convergence which disappears in epileptic cerebral dynamics. Epileptic rest state time series depicts several transitory activities that vanish in the normal state. Normal rest state topographic maps illustrate a limited dipolar activity; which is more extended in epileptic model. These prominent differences would have an important impact on real cerebral activities analysis.