A critical analysis of linear inverse solutions to the neuroelectromagnetic inverse problem

IEEE Transactions on Bio-medical Engineering
R Grave de Peralta-Menendez, S L Gonzalez-Andino

Abstract

This paper explores the possibilities of using linear inverse solutions to reconstruct arbitrary current distributions within the human brain. We formally prove that due to the underdetermined character of the problem, the only class of measurable current distributions that can be totally retrieved are those of minimal norm. The reconstruction of smooth or averaged versions of the currents is also explored. A solution that explicitly attempts to reconstruct averages of the current is proposed and compared with the minimum norm and the minimum Laplacian solution. In contrast to the majority of previous analysis carried out in the field, in the comparisons, we avoid the use of measures designed for the case of dipolar sources. To allow for the evaluation of distributed solutions in the case of arbitrary current distributions we use the concept of resolution kernels. Two summarizing measures, source identifiability and source visibility, are proposed and applied to the comparison. From this study can be concluded: 1) linear inverse solutions are unable to produce adequate estimates of arbitrary current distributions at many brain sites and 2) averages or smooth solutions are better than the minimum norm solution estimating the pos...Continue Reading

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Citations

Nov 28, 2002·Human Brain Mapping·Gareth R Barnes, Arjan Hillebrand
Dec 14, 2004·Human Brain Mapping·Sara L Gonzalez AndinoRolando Grave de Peralta
Apr 6, 2006·Medical & Biological Engineering & Computing·N ChauveauB Rigaud
Aug 4, 2005·Experimental Brain Research·Sara L Gonzalez AndinoRolando Grave de Peralta Menendez
Dec 13, 2005·Brain Topography·Laurent Soufflet, Peter H Boeijinga
Sep 4, 2012·Brain Topography·Benjamin LanferCarsten Wolters
Jun 26, 2007·Medical & Biological Engineering & Computing·B Pinto, C Quintão Silva
Dec 20, 2003·NeuroImage·Arjan Hillebrand, Gareth R Barnes
Feb 26, 2004·NeuroImage·Rolando Grave de Peralta MenendezSara L Gonzalez Andino
Jul 11, 2003·International Journal of Psychophysiology : Official Journal of the International Organization of Psychophysiology·Asaid KhatebJean-Marie Annoni
Aug 7, 1999·International Journal of Psychophysiology : Official Journal of the International Organization of Psychophysiology·A KhatebC M Michel
Feb 13, 2001·Brain Research. Cognitive Brain Research·A KhatebJ M Annoni
May 10, 2000·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·O BlankeC M Michel
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Jul 30, 1999·Journal of Clinical Neurophysiology : Official Publication of the American Electroencephalographic Society·C M MichelM Seeck
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Aug 31, 1999·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·A GevinsJ Le
Jul 30, 2009·Computational Intelligence and Neuroscience·Katrina WendelRolando Grave de Peralta Menendez
Nov 8, 2008·Journal of Neuroengineering and Rehabilitation·Roberta GrechBart Vanrumste
Mar 13, 2014·Cognitive Processing·Claudio ImperatoriGiacomo Della Marca
May 21, 2009·The Journal of Sexual Medicine·Stephanie OrtigueFrancesco Bianchi-Demicheli
Nov 11, 2008·Computers in Biology and Medicine·June Sic KimChun Kee Chung
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Sep 8, 2004·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·Christoph M MichelRolando Grave de Peralta

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