PMID: 11900190Mar 20, 2002Paper

On MEG forward modelling using multipolar expansions

Physics in Medicine and Biology
Karim JerbiR M Leahy

Abstract

Magnetoencephalography (MEG) is a non-invasive functional imaging modality based on the measurement of the external magnetic field produced by neural current sources within the brain. The reconstruction of the underlying sources is a severely ill-posed inverse problem typically tackled using either low-dimensional parametric source models, such as an equivalent current dipole (ECD), or high-dimensional minimum-norm imaging techniques. The inability of the ECD to properly represent non-focal sources and the over-smoothed solutions obtained by minimum-norm methods underline the need for an alternative approach. Multipole expansion methods have the advantages of the parametric approach while at the same time adequately describing sources with significant spatial extent and arbitrary activation patterns. In this paper we first present a comparative review of spherical harmonic and Cartesian multipole expansion methods that can be used in MEG. The equations are given for the general case of arbitrary conductors and realistic sensor configurations and also for the special cases of spherically symmetric conductors and radially oriented sensors. We then report the results of computer simulations used to investigate the ability of a fir...Continue Reading

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Citations

Jul 10, 2004·Journal of Physiology, Paris·Bernd Lütkenhöner
Oct 22, 2003·NeuroImage·John J SidtisDavid A Rottenberg
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