ArticleIEEE transactions on bio-medical engineering2018
A Quasi-Static Boundary Element Approach With Fast Multipole Acceleration for High-Resolution Bioelectromagnetic Models.
Article in IEEE transactions on bio-medical engineering, 2018. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 46 papers.
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Who cites it
46 citing papers in PubMed.
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- Cellular Mechanisms of Transcranial Magnetic Stimulation in Climbing Fibers and Purkinje Neurons in the Cerebellum.bioRxiv : the preprint server for biology · 2026Article
- Charge Based Boundary Element Method with Residual Driven Adaptive Mesh Refinement for High Resolution Electrical Stimulation Modeling.bioRxiv : the preprint server for biology · 2026Article
- Improved Source Localization of Auditory Evoked Fields using Reciprocal BEM-FMM.Brain topography · 2026Article
- Roadmap towards personalized approaches and safety considerations in non-ionizing radiation: from dosimetry to therapeutic and diagnostic applications.Physics in medicine and biology · 2026Review
- Modeling strategies in non-invasive spinal stimulation: perspectives on state-of-the-art.Frontiers in human neuroscience · 2026Review
- High-definition MEG source estimation using the reciprocal boundary element fast multipole method.NeuroImage · 2025Article
- High-Resolution EEG Source Reconstruction from PCA-Corrected BEM-FMM Reciprocal Basis Funcions: A Study with Visual Evoked Potentials from Intermittent Photic Stimulation.bioRxiv : the preprint server for biology · 2025Article
- Statistical method accounts for microscopic electric field distortions around neurons when simulating activation thresholds.bioRxiv : the preprint server for biology · 2025Article
- Article
- Decoding auditory working memory content from EEG aftereffects of auditory-cortical TMS.bioRxiv : the preprint server for biology · 2025Article
- Highly accurate calculation of electric field for transcranial magnetic stimulation using hybridizable discontinuous galerkin method.Scientific reports · 2024Article
- Novel Volume Integral Equation Approach for Low-Frequency E-Field Dosimetry of Transcranial Magnetic Stimulation.IEEE transactions on magnetics · 2024Article
- Improving EEG Forward Modeling Using High-Resolution Five-Layer BEM-FMM Head Models: Effect on Source Reconstruction Accuracy.Bioengineering (Basel, Switzerland) · 2024Article
- A survey on integral equations for bioelectric modeling.Physics in medicine and biology · 2024Review
- Quasistatic approximation in neuromodulation.Journal of neural engineering · 2024Review
- Fast and Accurate EEG/MEG BEM-Based Forward Problem Solution for High-Resolution Head Models.bioRxiv : the preprint server for biology · 2024Article
- Accuracy of dipole source reconstruction in the 3-layer BEM model against the 5-layer BEM-FMM model.bioRxiv : the preprint server for biology · 2024Article
- A review of algorithms and software for real-time electric field modeling techniques for transcranial magnetic stimulation.Biomedical engineering letters · 2024Review
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Authors and funding
4 authors.
Funding
Abstract
objectiveWe 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.
resultsThe 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.
conclusionsOur 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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