The complete ellipsoidal shell-model in EEG imaging
This work provides the solution of the direct Electroencephalography (EEG) problem for the complete ellipsoidal shell-model of the human head. The model involves four confocal ellipsoids that represent the successive interfaces between the brain tissue, the cerebrospinal fluid, the skull, and the sk...
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| Format: | Article |
| Language: | English |
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Wiley
2006-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/AAA/2006/57429 |
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| author | S. N. Giapalaki F. Kariotou |
| author_facet | S. N. Giapalaki F. Kariotou |
| author_sort | S. N. Giapalaki |
| collection | DOAJ |
| description | This work provides the solution of the direct
Electroencephalography (EEG) problem for the complete ellipsoidal
shell-model of the human head. The model involves four confocal
ellipsoids that represent the successive interfaces between the
brain tissue, the cerebrospinal fluid, the skull, and the skin
characterized by different conductivities. The electric excitation
of the brain is due to an equivalent electric dipole, which is
located within the inner ellipsoid. The proposed model is
considered to be physically complete, since the effect of the
substance surrounding the brain is taken into account. The direct
EEG problem consists in finding the electric potential inside each
conductive space, as well as at the nonconductive exterior space.
The solution of this multitransmission problem is given
analytically in terms of elliptic integrals and ellipsoidal
harmonics, in such way that makes clear the effect that each shell
has on the next one and outside of the head. It is remarkable that
the dependence on the observation point is not affected by the
presence of the conductive shells. Reduction to simpler
ellipsoidal models and to the corresponding spherical models is
included. |
| format | Article |
| id | doaj-art-99f9edd6b3904636bfbbb8a131bc878b |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2006-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-99f9edd6b3904636bfbbb8a131bc878b2025-08-20T02:20:16ZengWileyAbstract and Applied Analysis1085-33751687-04092006-01-01200610.1155/AAA/2006/5742957429The complete ellipsoidal shell-model in EEG imagingS. N. Giapalaki0F. Kariotou1Department of Chemical Engineering, University of Patras, Patras 26504, GreeceHellenic Open University, 16, Sahtouri Street & Ag. Andreou Street, Patras 262 22, GreeceThis work provides the solution of the direct Electroencephalography (EEG) problem for the complete ellipsoidal shell-model of the human head. The model involves four confocal ellipsoids that represent the successive interfaces between the brain tissue, the cerebrospinal fluid, the skull, and the skin characterized by different conductivities. The electric excitation of the brain is due to an equivalent electric dipole, which is located within the inner ellipsoid. The proposed model is considered to be physically complete, since the effect of the substance surrounding the brain is taken into account. The direct EEG problem consists in finding the electric potential inside each conductive space, as well as at the nonconductive exterior space. The solution of this multitransmission problem is given analytically in terms of elliptic integrals and ellipsoidal harmonics, in such way that makes clear the effect that each shell has on the next one and outside of the head. It is remarkable that the dependence on the observation point is not affected by the presence of the conductive shells. Reduction to simpler ellipsoidal models and to the corresponding spherical models is included.http://dx.doi.org/10.1155/AAA/2006/57429 |
| spellingShingle | S. N. Giapalaki F. Kariotou The complete ellipsoidal shell-model in EEG imaging Abstract and Applied Analysis |
| title | The complete ellipsoidal shell-model in EEG imaging |
| title_full | The complete ellipsoidal shell-model in EEG imaging |
| title_fullStr | The complete ellipsoidal shell-model in EEG imaging |
| title_full_unstemmed | The complete ellipsoidal shell-model in EEG imaging |
| title_short | The complete ellipsoidal shell-model in EEG imaging |
| title_sort | complete ellipsoidal shell model in eeg imaging |
| url | http://dx.doi.org/10.1155/AAA/2006/57429 |
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