ALA, Guido

Fasshauer G

FRANCOMANO, Elisa

GANCI, Salvatore

McCourt M.

Archivio istituzionale della ricerca - Università di Palermo

SMART 2014 Pontignano, Italy, September 28–October 1, 2014M/EEG Forward Model ComputationVia Source-Adaptive Meshless SolvingGuido Ala, Gregory Fasshauer, Elisa FrancomanoSalvatore Ganci, Michael McCourtAbstractElectroencephalography (EEG) and magnetoencephalography (MEG) allow for a non-invasive investigation of the brain activity with high time resolutions. The neural sourcesare reconstructed by solving a typical inverse problem. Therefore, building an accurateforward model for the head is a key step in the process of estimating the neural sources [1].Given a model for the brain activity and a model for the head, the M/EEG forwardproblem can be formulated as a set of boundary value problems for the Laplace operator,coupled by interface conditions.The state-of-the-art Boundary Element Method (BEM) [2] involves both time-consumingmeshing algorithms in the pre-processing step and costly numerical integration routines.Because of the high computational cost of these tasks, BEM solvers make use of onediscretization of the domain, regardless the position of the neural source.We propose the application of a meshless boundary-type solver which is is based on theMethod of Fundamental Solutions (MFS) [3]. Remarkable savings in computational timeallow for an adaptive computation of the forward head model which takes into accountthe position of the neural source.Numerical experiments, both for spherical and realistic head geometries, show thevalidity and the attractiveness of the proposed approach.References[1] M. Ha¨ma¨la¨inen et al. (1993), Magnetoencephalography—theory, instrumentation, and appli-cations to noninvasive studies of the working human brain, Reviews of Modern Physics, vol.65, pp. 413-497.[2] J. Kybic et al. (2005), A common formalism for the integral formulations of the forward EEGproblem. IEEE Transactions on Medical Imaging, vol. 24, pp. 12–28.[3] G. Fairweather and A. Karageorghis (1998), The method of fundamental solutions for ellipticboundary value problems, Advances in Computational Mathematics, vol. 9, pp. 69-95.G. Ala, DEIM, Universita` degli Studi di Palermo, Palermo, Italy.G. Fasshauer, Dept. of Applied Mathematics, Illinois Institute of Technology, Chicago, USA.E. Francomano, DICGIM, Universita` degli Studi di Palermo, Palermo, Italy.S. Ganci, DEIM, Universita` degli Studi di Palermo, Palermo, Italy.M. McCourt, Dept. of Mathematical and Statistical Sciences, University of Colorado, Denver,USA.

M/EEG Forward Model Computation
Via Source-Adaptive Meshless Solving

https://iris.unipa.it/retrieve/handle/10447/98295/130612/SMART2014.pdf

M/EEG Forward Model Computation Via Source-Adaptive Meshless Solving

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Archivio istituzionale della ricerca - Università di Palermo