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A computationally efficient method for accurately solving the EEG forward problem in a finely discretized head model. | LitMetric

A computationally efficient method for accurately solving the EEG forward problem in a finely discretized head model.

Clin Neurophysiol

Department of Electrical and Computer Engineering, University of Alberta, W2-106 ECERF, Edmonton, Alberta, Canada T6G 2V4.

Published: October 2005

AI Article Synopsis

  • Accurate EEG source analysis requires realistic head models created from detailed MRI scans, but previous models have been too complex for practical computations due to time and memory constraints.
  • A new preconditioner for the conjugate-gradient method allows for solving the forward problem with these complex models efficiently, using a system matrix derived from the head's anatomy.
  • Results show that a detailed spherical head model with over 4 million elements can be processed in about 60 minutes, achieving high accuracy (better than 2% L2 error), making detailed EEG modeling more feasible.

Article Abstract

Objective: Solution of the forward problem using realistic head models is necessary for accurate EEG source analysis. Realistic models are usually derived from volumetric magnetic resonance images that provide a voxel resolution of about 1 mm3. Electrical models could, therefore contain, for a normal adult head, over 4 million elements. Solution of the forward problem using models of this magnitude has so far been impractical due to issues of computation time and memory.

Methods: A preconditioner is proposed for the conjugate-gradient method that enables the forward problem to be solved using head models of this magnitude. It is applied to the system matrix constructed from the head anatomy using finite differences. The preconditioner is not computed explicitly and so is very efficient in terms of memory utilization.

Results: Using a spherical head model discretized into over 4 million volumes, we have been able to obtain accurate forward solutions in about 60 min on a 1 GHz Pentium III. L2 accuracy of the solutions was better than 2%.

Conclusions: Accurate solution of the forward problem in EEG in a finely discretized head model is practical in terms of computation time and memory.

Significance: The results represent an important step in head modeling for EEG source analysis.

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Source
http://dx.doi.org/10.1016/j.clinph.2005.07.010DOI Listing

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