Effects of geometric head model perturbations on the EEG forward and inverse problems

IEEE Transactions on Bio-medical Engineering
Nicolás von EllenriederArye Nehorai

Abstract

We study the effect of geometric head model perturbations on the electroencephalography (EEG) forward and inverse problems. Small magnitude perturbations of the shape of the head could represent uncertainties in the head model due to errors on images or techniques used to construct the model. They could also represent small scale details of the shape of the surfaces not described in a deterministic model, such as the sulci and fissures of the cortical layer. We perform a first-order perturbation analysis, using a meshless method for computing the sensitivity of the solution of the forward problem to the geometry of the head model. The effect on the forward problem solution is treated as noise in the EEG measurements and the Cramér-Rao bound is computed to quantify the effect on the inverse problem performance. Our results show that, for a dipolar source, the effect of the perturbations on the inverse problem performance is under the level of the uncertainties due to the spontaneous brain activity. Thus, the results suggest that an extremely detailed model of the head may be unnecessary when solving the EEG inverse problem.

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Citations

Sep 3, 2010·Australasian Physical & Engineering Sciences in Medicine·M R BasharP Wen
Feb 20, 2010·Computational Intelligence and Neuroscience·Federica VattaFrancesco Di Salle
Jun 5, 2010·Nonlinear Biomedical Physics·Fabrizio De Vico FallaniFabio Babiloni
Sep 3, 2014·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Fabrizio De Vico FallaniSophie Achard
Sep 5, 2009·Medical & Biological Engineering & Computing·Nicolás von EllenriederCarlos H Muravchik
Sep 15, 2009·Journal of Neuroscience Methods·Pedro A Valdés-HernándezPedro A Valdés-Sosa
Aug 7, 2010·Human Brain Mapping·Moritz DannhauerThomas R Knösche
Apr 25, 2009·IEEE Transactions on Bio-medical Engineering·Nicolás von EllenriederArye Nehorai
Mar 11, 2009·IEEE Transactions on Bio-medical Engineering·Sylvain Vallaghé, Maureen Clerc
Jan 25, 2011·IEEE Transactions on Bio-medical Engineering·Bertrand Russel YitembeLuc Dupre
Mar 26, 2011·Computational Intelligence and Neuroscience·Alexandre GramfortMaureen Clerc
Jun 12, 2013·Clinical Neurophysiology : Official Journal of the International Federation of Clinical Neurophysiology·Andrei IrimiaJohn D Van Horn
Mar 31, 2010·NeuroImage·Rosalind J SadleirBarry Gordon
Apr 25, 2020·Computational and Mathematical Methods in Medicine·Yohan Céspedes-VillarG Castellanos-Dominguez
Jul 11, 2021·Human Brain Mapping·Leandro BeltrachiniJens Haueisen

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