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Neuromagnetic field computation using the multiple multipole method
Author(s) -
Haueisen J.,
Hafner Ch.,
Nowak H.,
Brauer H.
Publication year - 1996
Publication title -
international journal of numerical modelling: electronic networks, devices and fields
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.249
H-Index - 30
eISSN - 1099-1204
pISSN - 0894-3370
DOI - 10.1002/(sici)1099-1204(199601)9:1/2<145::aid-jnm233>3.0.co;2-u
Subject(s) - multipole expansion , fast multipole method , boundary element method , inverse problem , computation , field (mathematics) , conductor , electromagnetic field , dipole , computer science , magnetic field , physics , mathematical analysis , finite element method , algorithm , mathematics , geometry , quantum mechanics , pure mathematics , thermodynamics
For the interpretation of human neuromagnetic data it is necessary to compute the magnetic field of a source (e.g. a dipole) in a volume conductor (e.g. a homogeneous conducting sphere or a homogeneous head model). The Multiple Multipole (MMP) method, which is a semianalytical field calculation method, is applied to neuromagnetic field calculation for the first time. The unique feature of the MMP method is that multipole expansions are used for the description of the electromagnetic field. First a validation of the MMP method is done with the help of a spherical model and an analytical solution. Then the MMP method is applied to a realistically shaped one compartment head model. The results are compared to results obtained with the Boundary Element Method (BEM). The results suggest that it is possible to solve the neuromagnetic forward problem faster with the help of the MMP method than with the conventional numerical field calculation methods for realistic shaped volume conductor models. Further investigations are necessary to tackle the inverse problem of biomagnetism with the MMP method.