A Quasi-Static Boundary Element Approach With Fast Multipole Acceleration for High-Resolution Bioelectromagnetic Models

Objective: We develop a new accurate version of the boundary element fast multipole method for transcranial magnetic stimulation (TMS) related problems. This method is based on the surface-charge formulation and is using the highly efficient fast multipole accelerator along with analytical computati...

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Bibliographic Details
Published in:IEEE transactions on biomedical engineering Vol. 65; no. 12; pp. 2675 - 2683
Main Authors: Makarov, Sergey N., Noetscher, Gregory M., Raij, Tommi, Nummenmaa, Aapo
Format: Journal Article
Language:English
Published: United States IEEE 01.12.2018
The Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subjects:
Adaptation models
Boundary conditions
Boundary element method
Brain
Brain - physiology
Brain modeling
CAD
Computational modeling
Computer aided design
Computer programs
Computer simulation
Electric fields
Electric potential
fast multipole method
Finishes
Finite Element Analysis
Finite element method
Grid refinement (mathematics)
Head
Head - physiology
High resolution
Humans
Image Processing, Computer-Assisted
Integral equations
Magnetic fields
Magnetic resonance imaging
Magnetoencephalography
magnetoencephalography (MEG)
Magnetoencephalography - methods
Mathematical analysis
Mathematical models
Recording
Signal Processing, Computer-Assisted
Simulation
Software
Surface charge
Transcranial magnetic stimulation
transcranial magnetic stimulation (TMS)
Transcranial Magnetic Stimulation - methods
Unstructured grids (mathematics)
ISSN:0018-9294, 1558-2531, 1558-2531
Online Access:Get full text
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Summary:Objective: We develop a new accurate version of the boundary element fast multipole method for transcranial magnetic stimulation (TMS) related problems. This method is based on the surface-charge formulation and is using the highly efficient fast multipole accelerator along with analytical computations of neighbor surface integrals. Results: The method accuracy is demonstrated by comparison with the proven commercial finite-element method (FEM) software ANSYS Maxwell 18.2 2017 operating on unstructured grids and with adaptive mesh refinement. Five realistic high-definition head models from the Population Head Repository (IT'IS Foundation, Switzerland) have been acquired and augmented with a commercial TMS coil model (MRi-B91, MagVenture, Denmark). For each head model, simulations with our method and simulations with the FEM software ANSYS Maxwell 18.2 2017 have been performed. These simulations have been compared with each other and an excellent agreement was established in every case. Significance: At the same time, our new method runs approximately 500 times faster than the ANSYS FEM, finishes in about 200 s on a standard server, and naturally provides a submillimeter field resolution, which is justified using mesh refinement. Conclusions: Our method can be applied to modeling of brain stimulation and recording technologies such as TMS and magnetoencephalography, and has the potential to become a real-time high-resolution simulation tool.
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ISSN:0018-9294
1558-2531
1558-2531
DOI:10.1109/TBME.2018.2813261