Magnetoencephalography inverse problem in the spheroid geometry-Reference-Cited by-同舟云学术

Magnetoencephalography inverse problem in the spheroid geometry

Published:2019-04-01 Issue:2 Volume:27 Page:159-169
ISSN:1569-3945
Container-title:Journal of Inverse and Ill-posed Problems
language:
Short-container-title:

Author:

Karpov Petr I.¹,Zakharova Tatyana²

Affiliation:

1. Department of Theoretical Physics and Quantum Technologies, National University of Science and Technology MISiS, Leninsky avenue 4, Moscow119991, Russia; and Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Straße 38, Dresden 01187, Germany

2. Department of Mathematical Statistics, Faculty of Computational Mathematics and Cybernetics, M.V. Lomonosov Moscow State University, 1-52 Leninskiye Gory, GSP-1, 119991; and Institute of Informatics Problems,Federal Research Center “Computer Science and Control” of the Russian Academy of Sciences, 44-2 Vavilov str., Moscow119333, Russia

Abstract

AbstractThe inverse problem of magnetoencephalography is ill-posed and difficult for both analytical and numerical solutions. Additional complications arise from the volume (passive) currents and the associated magnetic fields, which strongly depend on the brain geometry. In this paper, we find approximate analytical solutions for the forward and the inverse problems in the spheroid geometry. We compare the obtained results with the exact solution of the forward problem and deduce that for a wide range of parameters our approximation is valid. The analysis sheds new light on the role of the volume magnetic fields for solving the inverse problem of magnetoencephalography.

Funder

Russian Foundation for Basic Research

Ministry of Education and Science of the Russian Federation

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/jiip-2017-0101/pdf

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