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Uniqueness result for an inverse conductivity recovery problem with application to EEG
Clerc, Maureen
Leblond, Juliette
Marmorat, Jean-Paul
Papageorgakis, Christos
2016
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e-ISSN
2464-8728
Abstract
Abstract. Considering a geometry made of three concentric spherical nested layers, (brain, skull, scalp) each with constant homogeneous conductivity, we establish a uniqueness result in inverse conductivity estimation, from partial boundary data in presence of a known source term. We make use of spherical harmonics and linear algebra computations, that also provide us with stability results and a robust reconstruction algorithm. As an application to electroencephalography (EEG), in a spherical 3-layer head model (brain, skull, scalp), we numerically estimate the skull conductivity from available data (electrical potential at electrodes locations on the scalp, vanishing current flux) and given
pointwise dipolar sources in the brain.
Series
Rendiconti dell'Istituto di matematica dell'Università di Trieste: an International Journal of Mathematics
48 (2016)
Publisher
EUT Edizioni Università di Trieste
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