Revisiting an analytical solution for the three-shell spherical human head model in electroencephalography

The complete three-shell spherical human head model in electroencephalography (EEG) is revisited and an analytical solution of the forward problem is derived. The introduced geometrical model involves four concentric spheres that represent the successive interfaces between the cerebrum, the cerebros...

Descripción completa

Guardado en:

Detalles Bibliográficos
Autores principales:	A. Papargiri, V.S. Kalantonis, D. Kaziki, P. Vafeas, G. Fragoyiannis
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Electroencephalography Mathematical modeling Spherical harmonics Numerical implementation Applied mathematics. Quantitative methods T57-57.97
Acceso en línea:	https://doaj.org/article/91ab5ee3e1744180967cce9ac04d7fdf
Etiquetas:	Agregar Etiqueta Sin Etiquetas, Sea el primero en etiquetar este registro!

id	oai:doaj.org-article:91ab5ee3e1744180967cce9ac04d7fdf
record_format	dspace
spelling	oai:doaj.org-article:91ab5ee3e1744180967cce9ac04d7fdf2021-11-28T04:39:28ZRevisiting an analytical solution for the three-shell spherical human head model in electroencephalography2666-818110.1016/j.padiff.2021.100178https://doaj.org/article/91ab5ee3e1744180967cce9ac04d7fdf2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S2666818121000930https://doaj.org/toc/2666-8181The complete three-shell spherical human head model in electroencephalography (EEG) is revisited and an analytical solution of the forward problem is derived. The introduced geometrical model involves four concentric spheres that represent the successive interfaces between the cerebrum, the cerebrospinal fluid, the skull and the skin, which are characterized by different conductivities, while the outer environment is evidently the non-conductive air. The neuronal operation of the brain is considered to be represented by an equivalent and arbitrarily orientated electric dipole that is located in the inner sphere. The dipole source produces a bipolar primary current and the electric activity is initiated by means of the generated electric field, which is associated with the corresponding potential functions within each one of the conductive compartments of the model, inferring crucial information about EEG effects outside the head. The potentials formulae are obtained in compact fashion via the solution of a sequence of interconnected elliptic-type boundary value problems with Dirichlet and Neumann transmission conditions, where the consistent behavior of the fields in the brain and far away from the system has been taken into account. The efficiency of the suggested mathematical model is numerically implemented and the impact of the brain electric response to the exterior measurable potential field is demonstrated, implying a solid and sufficient head representation for the EEG forward problem.A. PapargiriV.S. KalantonisD. KazikiP. VafeasG. FragoyiannisElsevierarticleElectroencephalographyMathematical modelingSpherical harmonicsNumerical implementationApplied mathematics. Quantitative methodsT57-57.97ENPartial Differential Equations in Applied Mathematics, Vol 4, Iss , Pp 100178- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Electroencephalography Mathematical modeling Spherical harmonics Numerical implementation Applied mathematics. Quantitative methods T57-57.97
spellingShingle	Electroencephalography Mathematical modeling Spherical harmonics Numerical implementation Applied mathematics. Quantitative methods T57-57.97 A. Papargiri V.S. Kalantonis D. Kaziki P. Vafeas G. Fragoyiannis Revisiting an analytical solution for the three-shell spherical human head model in electroencephalography
description	The complete three-shell spherical human head model in electroencephalography (EEG) is revisited and an analytical solution of the forward problem is derived. The introduced geometrical model involves four concentric spheres that represent the successive interfaces between the cerebrum, the cerebrospinal fluid, the skull and the skin, which are characterized by different conductivities, while the outer environment is evidently the non-conductive air. The neuronal operation of the brain is considered to be represented by an equivalent and arbitrarily orientated electric dipole that is located in the inner sphere. The dipole source produces a bipolar primary current and the electric activity is initiated by means of the generated electric field, which is associated with the corresponding potential functions within each one of the conductive compartments of the model, inferring crucial information about EEG effects outside the head. The potentials formulae are obtained in compact fashion via the solution of a sequence of interconnected elliptic-type boundary value problems with Dirichlet and Neumann transmission conditions, where the consistent behavior of the fields in the brain and far away from the system has been taken into account. The efficiency of the suggested mathematical model is numerically implemented and the impact of the brain electric response to the exterior measurable potential field is demonstrated, implying a solid and sufficient head representation for the EEG forward problem.
format	article
author	A. Papargiri V.S. Kalantonis D. Kaziki P. Vafeas G. Fragoyiannis
author_facet	A. Papargiri V.S. Kalantonis D. Kaziki P. Vafeas G. Fragoyiannis
author_sort	A. Papargiri
title	Revisiting an analytical solution for the three-shell spherical human head model in electroencephalography
title_short	Revisiting an analytical solution for the three-shell spherical human head model in electroencephalography
title_full	Revisiting an analytical solution for the three-shell spherical human head model in electroencephalography
title_fullStr	Revisiting an analytical solution for the three-shell spherical human head model in electroencephalography
title_full_unstemmed	Revisiting an analytical solution for the three-shell spherical human head model in electroencephalography
title_sort	revisiting an analytical solution for the three-shell spherical human head model in electroencephalography
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/91ab5ee3e1744180967cce9ac04d7fdf
work_keys_str_mv	AT apapargiri revisitingananalyticalsolutionforthethreeshellsphericalhumanheadmodelinelectroencephalography AT vskalantonis revisitingananalyticalsolutionforthethreeshellsphericalhumanheadmodelinelectroencephalography AT dkaziki revisitingananalyticalsolutionforthethreeshellsphericalhumanheadmodelinelectroencephalography AT pvafeas revisitingananalyticalsolutionforthethreeshellsphericalhumanheadmodelinelectroencephalography AT gfragoyiannis revisitingananalyticalsolutionforthethreeshellsphericalhumanheadmodelinelectroencephalography
_version_	1718408272949542912

Revisiting an analytical solution for the three-shell spherical human head model in electroencephalography

Ejemplares similares