Please use this identifier to cite or link to this item: http://ktisis.cut.ac.cy/handle/10488/7387
Title: On the non-uniqueness of the inverse problem associated with electroencephalography
Authors: Dassios, George
Hadjiloizi, Demetra 
Keywords: Medical physics
Biological physics
Electroencephalography
Integral representations
Issue Date: 2009
Publisher: IOP
Source: Inverse Problems, 2009, Volume 25, Issue 11,
Abstract: We present here a quantitative characterization of the non-uniqueness for the inverse problem of electroencephalography (EEG). First, we identify the singular support of the electric potential generated by a dipolar current which is fired inside the spherical model of the brain. Next, we extend this result to a continuously distributed neuronal current and we derive the equivalent Green's integral representation. Then, using the Hansen representation of the current, we show that among the three scalar representation functions, only two are needed to represent the observed electric potential on the surface or outside the head. The scalar function that is missed by the EEG recordings is exactly the one that is recorded by magnetoencephalography (MEG). Finally, the solution of the inverse EEG problem is reduced to a specific moment problem, which is exactly solved under the minimum-current assumption.
URI: http://ktisis.cut.ac.cy/handle/10488/7387
ISSN: 02665611
DOI: 10.1088/0266-5611/25/11/115012
Rights: © 2009 IOP Publishing Ltd
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