caa a22 4500 606166157 CHVBK 20210128100656.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10440-014-9951-7 doi (NATIONALLICENCE)springer-10.1007/s10440-014-9951-7 Leblond Juliette Team APICS, INRIA Sophia Antipolis, BP 93, 06902, Sophia Antipolis Cedex, France aut Identifiability Properties for Inverse Problems in EEG Data Processing Medical Engineering with Observability and Optimization Issues [Elektronische Daten] [Juliette Leblond] We consider inverse problems of source identification in electroencephalography, modelled by elliptic partial differential equations. Being given boundary data that consist in values of the current flux and of the electric potential 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 preliminary 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. Springer Science+Business Media Dordrecht, 2014 Inverse boundary value problems nationallicence Elliptic partial differential equation nationallicence Medical imaging nationallicence EEG (electroencephalography) nationallicence Observability nationallicence Optimization nationallicence Acta Applicandae Mathematicae Springer Netherlands 135/1(2015-02-01), 175-190 0167-8019 135:1<175 2015 135 10440 https://doi.org/10.1007/s10440-014-9951-7 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10440-014-9951-7 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Leblond Juliette Team APICS, INRIA Sophia Antipolis, BP 93, 06902, Sophia Antipolis Cedex, France aut NATIONALLICENCE 773 0- Acta Applicandae Mathematicae Springer Netherlands 135/1(2015-02-01), 175-190 0167-8019 135:1<175 2015 135 10440