Localizing Brain Activity from Multiple Distinct Sources via EEG

Author:

Dassios George1,Doschoris Michael1ORCID,Satrazemi Konstantia1

Affiliation:

1. Division of Applied Mathematics, Department of Chemical Engineering, University of Patras and FORTH/ICE-HT, 26504 Patras, Greece

Abstract

An important question arousing in the framework of electroencephalography (EEG) is the possibility to recognize, by means of a recorded surface potential, the number of activated areas in the brain. In the present paper, employing a homogeneous spherical conductor serving as an approximation of the brain, we provide a criterion which determines whether the measured surface potential is evoked by a single or multiple localized neuronal excitations. We show that the uniqueness of the inverse problem for a single dipole is closely connected with attaining certain relations connecting the measured data. Further, we present the necessary and sufficient conditions which decide whether the collected data originates from a single dipole or from numerous dipoles. In the case where the EEG data arouses from multiple parallel dipoles, an isolation of the source is, in general, not possible.

Funder

European Social Fund

Publisher

Hindawi Limited

Subject

Applied Mathematics

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