Localizing Brain Activity from Multiple Distinct Sources via EEG

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...

Full description

Saved in:
Bibliographic Details
Published in:Journal of Applied Mathematics 2014, Vol.2014 (2014), p.480-487-145
Main Authors: Dassios, George, Satrazemi, Konstantia, Doschoris, Michael
Format: Article
Language:English
Subjects:
Algebra
Applied mathematics
Approximation
Brain
Brain mapping
Dipoles
Electroencephalography
Inverse problems
Mathematical analysis
Methods
Surface chemistry
Uniqueness
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary: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.
ISSN:1110-757X
1687-0042
DOI:10.1155/2014/232747