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Journal Articles Acta Applicandae Mathematicae Year : 2014

Identifiability Properties for Inverse Problems in EEG Data Processing and Medical Engineering with Observability and Optimization Issues

Abstract

We consider inverse problems of source identification in electroen-cephalography, modelled by elliptic partial differential equations. Being given boundary data that consist in values of the current flux and of the electric poten-tial on the scalp, the aim is to reconstruct unknown current sources supported within the brain. For spherical layered models of the head, and after a pre-liminary data transmission step, such inverse source problems are tackled using best rational approximation techniques on planar sections. Both theoretical and constructive aspects are described, while numerical illustrations are provided.
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Dates and versions

hal-00875006 , version 1 (20-10-2013)
hal-00875006 , version 2 (05-01-2015)

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Juliette Leblond. Identifiability Properties for Inverse Problems in EEG Data Processing and Medical Engineering with Observability and Optimization Issues. Acta Applicandae Mathematicae, 2014, 135 (1), pp. 175-190. ⟨10.1007/s10440-014-9951-7⟩. ⟨hal-00875006v2⟩
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