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The Inverse Ill-Posed Problem of Magnetoencephalography
- Source :
- Journal of Mathematical Sciences. 246:587-591
- Publication Year :
- 2020
- Publisher :
- Springer Science and Business Media LLC, 2020.
-
Abstract
- This paper continues a series of studies dealing with noninvasive preoperative methods for localizing eloquent areas of the human brain. The inverse problem of magnetoencephalography (MEG) is illposed and difficult for both analytical and numerical solutions. An analytical formula is derived for the solution of the forward problem that computes the magnetic field on the surface of the head from the known location and orientation of a current dipole in the low-frequency approximation in the spherical model. In addition, the paper considers the question of stability of solutions of the inverse problem of MEG to the effect of noise. The solution is unstable to the effect of noise on its angular component, but the deviation from the true solution is much less than the noise variance.
- Subjects :
- Statistics and Probability
Well-posed problem
Quantitative Biology::Neurons and Cognition
Series (mathematics)
medicine.diagnostic_test
Applied Mathematics
General Mathematics
Physics::Medical Physics
010102 general mathematics
Stability (learning theory)
Inverse
Magnetoencephalography
Inverse problem
01 natural sciences
010305 fluids & plasmas
Spherical model
Noise
0103 physical sciences
medicine
Applied mathematics
0101 mathematics
Mathematics
Subjects
Details
- ISSN :
- 15738795 and 10723374
- Volume :
- 246
- Database :
- OpenAIRE
- Journal :
- Journal of Mathematical Sciences
- Accession number :
- edsair.doi...........e95af3ea15c7c8b9214a9bc38bdbc308