1999
DOI: 10.1109/10.748978
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EEG and MEG: forward solutions for inverse methods

Abstract: Abstract-A solution of the forward problem is an important component of any method for computing the spatio-temporal activity of the neural sources of magnetoencephalography (MEG) and electroencephalography (EEG) data. The forward problem involves computing the scalp potentials or external magnetic field at a finite set of sensor locations for a putative source configuration. We present a unified treatment of analytical and numerical solutions of the forward problem in a form suitable for use in inverse method… Show more

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Cited by 735 publications
(560 citation statements)
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References 52 publications
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“…Since each dipole has 6 degrees of freedom, an increase in the dipole number would substantially raise the computation time and error. This single-dipole approach has successfully been applied by former studies to approximate the accumulative activities of a large number of neurons (Mosher et al, 1999). Furthermore, since this is the first study on the issue of fatigue-induced cortical source adaptation, this single-dipole model, despite of its simplicity, serves the purpose of the study sufficiently.…”
Section: Discussionmentioning
confidence: 99%
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“…Since each dipole has 6 degrees of freedom, an increase in the dipole number would substantially raise the computation time and error. This single-dipole approach has successfully been applied by former studies to approximate the accumulative activities of a large number of neurons (Mosher et al, 1999). Furthermore, since this is the first study on the issue of fatigue-induced cortical source adaptation, this single-dipole model, despite of its simplicity, serves the purpose of the study sufficiently.…”
Section: Discussionmentioning
confidence: 99%
“…The electrical conductivities of the brain and the scalp were 0.33 Ω -1 m -1 , and that of the skull was 0.0042 Ω -1 m -1 (Mosher et al, 1999). A single moving current dipole model was used to best represent the overall brain activation center (Mosher et al, 1999;Yao and Dewald, 2005). The difference between the actual and modeled EEG signals were minimized to obtain the dipole parameters (location, strength, and orientation) using the Nelder-Mead downhill simplex minimization algorithm (Nelder and Mead, 1965).…”
Section: Eeg Source Reconstructionmentioning
confidence: 97%
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“…The (3N s × 1) vector location s forms the input argument for the nonlinear leadfield function, G(s), whose output is multiplied by the (3N s × 1) moment vector w to form the observed data. 1 The lead-field accounts for passive propagation of the electromagnetic field from the sources to the sensors (Mosher et al, 1999). Note that although the relationship between the data and primary current density is linear, it is non-linear in the dipole locations.…”
mentioning
confidence: 99%
“…For MEG, one can use a single sphere as a good approximation. The potential or magnetic field at the sensors requires an evaluation of an infinite series, which can be approximated using fast algorithms (Mosher et al, 1999;Zhang, 1995). For the ECD forward model, we used a Matlab (MathWorks) routine that is freely available as part of the FieldTrip package (http://www2.ru.nl/fcdonders/fieldtrip/, see also Oostenveld, 2003) under the GNU general public license.…”
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confidence: 99%