Abstract
Electroencephalography (EEG) and Magnetoencephalography (MEG), the non-invasive imaging techniques of the brain, are based on the external skull recording of the electromagnetic (HM) signal produced by the electrochemical stimulation of brain neurons. The localization of the sources and the determination of their intensity, as well as the investigation of the existence of pathological abnormalities in the brain tissue, is one of the main objectives when applying these techniques. Creating and analyzing mathematical models and studying the corresponding inverse mathematical problems serves this purpose.
In the present Phd research proposal, we investigate the analytical treatment of EEG and MEG problems in an ellipsoidal conductor, which geometrically models the skull-brain system in an optimal way, stimulated by a point dipolar source located inside the brain tissue. The research aims to analyze the sensitivity of EEG and MEG problems regarding a set of parameters, like radial symmetry, disturbance of the ellipsoidal surface of the conductor, the distribution of the tissues conductivity and the depth of point source location. This study reflects the sensitivity of the results of the corresponding inverse problems to the realistic description of the skull of subject of the EEG / MEG and to the accuracy of the relevant source localization.
Advisory committee
Supervisor Kariotou Foteini, Assistant Prof. SST, HOU
Members: Hadjinicolaou Maria, Professor, SST, HOU
Stratis Ioannis, Professor, Mathematics department, National & Kapodistrian University of Athens