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Licensed Unlicensed Requires Authentication Published by De Gruyter May 12, 2020

FEM-based Scalp-to-Cortex EEG data mapping via the solution of the Cauchy problem

  • Nikolay Koshev EMAIL logo , Nikolay Yavich , Mikhail Malovichko , Ekaterina Skidchenko and Maxim Fedorov

Abstract

We propose an approach and the numerical algorithm for mapping the electroencephalographic (EEG) data from the scalp to the cortex. The algorithm is based on the solution of ill-posed Cauchy problem for the Laplace’s equation using tetrahedral finite elements. The FEM-based scheme allows to calculate the volumetric distribution of a potential over the head volume. We demonstrate the usage of the the algorithm for accurate estimation of the depth of electric sources in the head. The algorithm sufficiently increases the spatial resolution of the EEG technique making it comparable with intracranial techniques.

Award Identifier / Grant number: 18-71-10071

Funding statement: Nikolay Yavich and Mikhail Malovichko were partially supported by Russian Science Foundation, project No. 18-71-10071.

Acknowledgements

The ideas of the paper were inspired by the joint work of the first author with Professor Mikhail V. Klibanov (University of North Carolina at Charlotte) on the electromagnetic field backpropagation [21].

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Received: 2019-09-20
Revised: 2020-02-28
Accepted: 2020-03-28
Published Online: 2020-05-12
Published in Print: 2020-08-01

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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