Localizing Brain Activity from Multiple Distinct Sources via EEG

George Dassios, Michael Doschoris and Konstantia Satrazemi

Journal of Applied Mathematics, 2014, vol. 2014, 1-8

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.

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnljam:232747

DOI: 10.1155/2014/232747

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