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Forward simulation and inverse dipole localization with the lowest order Raviart—Thomas elements for electroencephalography
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Pursiainen, S., Sorrentino, Alberto, Campi, C. and Piana, M. (2011) Forward simulation and inverse dipole localization with the lowest order Raviart—Thomas elements for electroencephalography. Inverse Problems, Volume 27 (Number 4). 045003. doi:10.1088/0266-5611/27/4/045003 ISSN 0266-5611.
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Official URL: http://dx.doi.org/10.1088/0266-5611/27/4/045003
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.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics Q Science > QP Physiology |
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Divisions: | Faculty of Science, Engineering and Medicine > Science > Statistics | ||||
Library of Congress Subject Headings (LCSH): | Electroencephalography, Finite element method, Dipole moments | ||||
Journal or Publication Title: | Inverse Problems | ||||
Publisher: | Institute of Physics Publishing Ltd. | ||||
ISSN: | 0266-5611 | ||||
Official Date: | April 2011 | ||||
Dates: |
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Volume: | Volume 27 | ||||
Number: | Number 4 | ||||
Page Range: | 045003 | ||||
DOI: | 10.1088/0266-5611/27/4/045003 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Restricted or Subscription Access | ||||
Funder: | Suomen Akatemia [Academy of Finland], European Union (EU) | ||||
Grant number: | 136412 (AoF), PIEF-GA-2009-252440 (EU) |
Data sourced from Thomson Reuters' Web of Knowledge
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