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Two volume integral equations for the inhomogeneous and anisotropic forward problem in electroencephalography
- Source :
- Journal of Computational Physics, Journal of Computational Physics, Elsevier, 2017, 348, pp.732-743. ⟨10.1016/j.jcp.2017.07.013⟩
- Publication Year :
- 2017
- Publisher :
- Academic Press Inc., 2017.
-
Abstract
- International audience; This work presents two new volume integral equations for the Electroencephalography (EEG) forward problem which, differently from the standard integral approaches in the domain, can handle heterogeneities and anisotropies of the head/brain conductivity profiles. The new formulations translate to the quasi-static regime some volume integral equation strategies that have been successfully applied to high frequency electromagnetic scattering problems. This has been obtained by extending, to the volume case, the two classical surface integral formulations used in EEG imaging and by introducing an extra surface equation, in addition to the volume ones, to properly handle boundary conditions. Numerical results corroborate theoretical treatments, showing the competitiveness of our new schemes over existing techniques and qualifying them as a valid alternative to differential equation based methods.
- Subjects :
- Physics and Astronomy (miscellaneous)
Differential equation
Adjoint double layer
Anisotropy
Double layer
Electroencephalography
Poisson's equation
Volume integral equations
Computer Science Applications
1707
Computer Vision and Pattern Recognition
0206 medical engineering
02 engineering and technology
Domain (mathematical analysis)
Volume integral
03 medical and health sciences
0302 clinical medicine
Boundary value problem
Mathematics
Numerical Analysis
Applied Mathematics
Surface integral
Mathematical analysis
Summation equation
020601 biomedical engineering
Integral equation
[SPI.TRON]Engineering Sciences [physics]/Electronics
Computational Mathematics
Modeling and Simulation
030217 neurology & neurosurgery
Subjects
Details
- Language :
- English
- ISSN :
- 00219991 and 10902716
- Database :
- OpenAIRE
- Journal :
- Journal of Computational Physics, Journal of Computational Physics, Elsevier, 2017, 348, pp.732-743. ⟨10.1016/j.jcp.2017.07.013⟩
- Accession number :
- edsair.doi.dedup.....7d207e8b1639b54490209ebc65c62de0