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Journal Article

Magnetoencephalography inverse problem in the spheroid geometry

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Karpov,  Petr
Max Planck Institute for the Physics of Complex Systems, Max Planck Society;

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Citation

Karpov, P., & Zakharova, T. (2019). Magnetoencephalography inverse problem in the spheroid geometry. Journal of inverse and ill-posed problems, 27(2), 159-169. doi:10.1515/jiip-2017-0101.


Cite as: https://hdl.handle.net/21.11116/0000-0003-D0FB-7
Abstract
The 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.