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Forward simulation and inverse dipole localization with the lowest order Raviart - Thomas elements for electroencephalography

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Forward simulation and inverse dipole localization with the lowest order Raviart - Thomas elements for electroencephalography. / Pursiainen, S.; Sorrentino, A.; Campi, C.; Piana, M.

In: Inverse Problems, Vol. 27, No. 4, 045003, 04.2011.

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@article{57ffb7c0c4f54ea0886676ea885947de,
title = "Forward simulation and inverse dipole localization with the lowest order Raviart - Thomas elements for electroencephalography",
abstract = "Electroencephalography is a non-invasive imaging modality in which a primary current density generated by the neural activity in the brain is to be reconstructed based on external electric potential measurements. This paper focuses on the finite element method (FEM) from both forward and inverse aspects. The goal is to establish a clear correspondence between the lowest order Raviart-Thomas basis functions and dipole sources as well as to show that the adopted FEM approach is computationally effective. Each basis function is associated with a dipole moment and a location. Four candidate locations are tested. Numerical experiments cover two different spherical multilayer head models, four mesh resolutions and two different forward simulation approaches, one based on FEM and another based on the boundary element method (BEM) with standard dipoles as sources. The forward simulation accuracy is examined through column- and matrix-wise relative errors as well as through performance in inverse dipole localization. A closed-form approximation of dipole potential was used as the reference forward simulation. The present approach is compared to the BEM and indirectly also to the recent FEM-based subtraction approach regarding both accuracy, computation time and accessibility of implementation.",
author = "S. Pursiainen and A. Sorrentino and C. Campi and M. Piana",
year = "2011",
month = "4",
doi = "10.1088/0266-5611/27/4/045003",
language = "English",
volume = "27",
journal = "Inverse Problems",
issn = "0266-5611",
publisher = "IOP Publishing",
number = "4",

}

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TY - JOUR

T1 - Forward simulation and inverse dipole localization with the lowest order Raviart - Thomas elements for electroencephalography

AU - Pursiainen, S.

AU - Sorrentino, A.

AU - Campi, C.

AU - Piana, M.

PY - 2011/4

Y1 - 2011/4

N2 - Electroencephalography is a non-invasive imaging modality in which a primary current density generated by the neural activity in the brain is to be reconstructed based on external electric potential measurements. This paper focuses on the finite element method (FEM) from both forward and inverse aspects. The goal is to establish a clear correspondence between the lowest order Raviart-Thomas basis functions and dipole sources as well as to show that the adopted FEM approach is computationally effective. Each basis function is associated with a dipole moment and a location. Four candidate locations are tested. Numerical experiments cover two different spherical multilayer head models, four mesh resolutions and two different forward simulation approaches, one based on FEM and another based on the boundary element method (BEM) with standard dipoles as sources. The forward simulation accuracy is examined through column- and matrix-wise relative errors as well as through performance in inverse dipole localization. A closed-form approximation of dipole potential was used as the reference forward simulation. The present approach is compared to the BEM and indirectly also to the recent FEM-based subtraction approach regarding both accuracy, computation time and accessibility of implementation.

AB - Electroencephalography is a non-invasive imaging modality in which a primary current density generated by the neural activity in the brain is to be reconstructed based on external electric potential measurements. This paper focuses on the finite element method (FEM) from both forward and inverse aspects. The goal is to establish a clear correspondence between the lowest order Raviart-Thomas basis functions and dipole sources as well as to show that the adopted FEM approach is computationally effective. Each basis function is associated with a dipole moment and a location. Four candidate locations are tested. Numerical experiments cover two different spherical multilayer head models, four mesh resolutions and two different forward simulation approaches, one based on FEM and another based on the boundary element method (BEM) with standard dipoles as sources. The forward simulation accuracy is examined through column- and matrix-wise relative errors as well as through performance in inverse dipole localization. A closed-form approximation of dipole potential was used as the reference forward simulation. The present approach is compared to the BEM and indirectly also to the recent FEM-based subtraction approach regarding both accuracy, computation time and accessibility of implementation.

UR - http://www.scopus.com/inward/record.url?scp=79953662770&partnerID=8YFLogxK

U2 - 10.1088/0266-5611/27/4/045003

DO - 10.1088/0266-5611/27/4/045003

M3 - Article

VL - 27

JO - Inverse Problems

JF - Inverse Problems

SN - 0266-5611

IS - 4

M1 - 045003

ER -