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2014 Localizing Brain Activity from Multiple Distinct Sources via EEG
George Dassios, Michael Doschoris, Konstantia Satrazemi
J. Appl. Math. 2014: 1-8 (2014). DOI: 10.1155/2014/232747


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.


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George Dassios. Michael Doschoris. Konstantia Satrazemi. "Localizing Brain Activity from Multiple Distinct Sources via EEG." J. Appl. Math. 2014 1 - 8, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131422
Digital Object Identifier: 10.1155/2014/232747

Rights: Copyright © 2014 Hindawi


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