An inverse problem related to a finite part of a compact surface: Potential deduced from gravity gradients in space

1993 ◽  
Vol 98 (B10) ◽  
pp. 17773-17785
Author(s):  
M. V. Belikov ◽  
E. Groten
2008 ◽  
Vol 55 (3) ◽  
pp. 789-795 ◽  
Author(s):  
Pradeep Agarwal ◽  
Govind Saraswat ◽  
M. Jagadesh Kumar

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
George Dassios ◽  
Michael Doschoris ◽  
Konstantia Satrazemi

An important question arousing in the framework of electroencephalography (EEG) is the possibility to recognize, by means of a recorded surface potential, the number of activated areas in the brain. In the present paper, employing a homogeneous spherical conductor serving as an approximation of the brain, we provide a criterion which determines whether the measured surface potential is evoked by a single or multiple localized neuronal excitations. We show that the uniqueness of the inverse problem for a single dipole is closely connected with attaining certain relations connecting the measured data. Further, we present the necessary and sufficient conditions which decide whether the collected data originates from a single dipole or from numerous dipoles. In the case where the EEG data arouses from multiple parallel dipoles, an isolation of the source is, in general, not possible.


2016 ◽  
Vol 6 (2) ◽  
pp. 55-60
Author(s):  
Tijana Kevkic ◽  
Vladica Stojanovic ◽  
Dragan Petkovic

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