Electroencephalography (EEG) forward modeling via H(div) finite element sources with focal interpolation

The goal of this study is to develop focal, accurate and robust finite element method (FEM) based approaches which can predict the electric potential on the surface of the computational domain given its structure and internal primary source current distribution. While conducting an EEG evaluation, t...

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Bibliographic Details
Published in:Physics in medicine & biology 2016-12, Vol.61 (24), p.8502-8520
Main Authors: Pursiainen, S, Vorwerk, J, Wolters, C H
Format: Article
Language:English
Subjects:
biomedical engineering
Brain - anatomy & histology
Brain Mapping - methods
divergence conforming elements
EEG
Electric Conductivity
electroencephalography
Electroencephalography - methods
Finite Element Analysis
finite element method
Humans
Models, Neurological
neuroscience
source modeling
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Summary:The goal of this study is to develop focal, accurate and robust finite element method (FEM) based approaches which can predict the electric potential on the surface of the computational domain given its structure and internal primary source current distribution. While conducting an EEG evaluation, the placement of source currents to the geometrically complex grey matter compartment is a challenging but necessary task to avoid forward errors attributable to tissue conductivity jumps. Here, this task is approached via a mathematically rigorous formulation, in which the current field is modeled via divergence conforming H(div) basis functions. Both linear and quadratic functions are used while the potential field is discretized via the standard linear Lagrangian (nodal) basis. The resulting model includes dipolar sources which are interpolated into a random set of positions and orientations utilizing two alternative approaches: the position based optimization (PBO) and the mean position/orientation (MPO) method. These results demonstrate that the present dipolar approach can reach or even surpass, at least in some respects, the accuracy of two classical reference methods, the partial integration (PI) and St. Venant (SV) approach which utilize monopolar loads instead of dipolar currents.
ISSN:0031-9155
1361-6560
DOI:10.1088/0031-9155/61/24/8502