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Electroencephalographic Source Reconstruction by the Finite-Element Approximation of the Elliptic Cauchy Problem | IEEE Journals & Magazine | IEEE Xplore

Electroencephalographic Source Reconstruction by the Finite-Element Approximation of the Elliptic Cauchy Problem


Abstract:

Objective: This paper develops a novel approach for fast and reliable reconstruction of EEG sources in MRI-based head models. Methods: The inverse EEG problem is reduced ...Show More

Abstract:

Objective: This paper develops a novel approach for fast and reliable reconstruction of EEG sources in MRI-based head models. Methods: The inverse EEG problem is reduced to the Cauchy problem for an elliptic partial-derivative equation. The problem is transformed into a regularized minimax problem, which is directly approximated in a finite-element space. The resulting numerical method is efficient and easy to program. It eliminates the need to solve forward problems, which can be a tedious task. The method applies to complex anatomical head models, possibly containing holes in surfaces, anisotropic conductivity, and conductivity variations inside each tissue. The method has been verified on a spherical shell model and an MRI-based head. Results: Numerical experiments indicate high accuracy of localization of brain activations (both cortical potential and current) and rapid execution time. Conclusion: This study demonstrates that the proposed approach is feasible for EEG source analysis and can serve as a rapid and reliable tool for EEG source analysis. Significance: The significance of this study is that it develops a fast, accurate, and simple numerical method of EEG source analysis, applicable to almost arbitrary complex head models.
Published in: IEEE Transactions on Biomedical Engineering ( Volume: 68, Issue: 6, June 2021)
Page(s): 1811 - 1819
Date of Publication: 02 September 2020

ISSN Information:

PubMed ID: 32877329

Funding Agency:


References

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