Gray matter (gray), cerebrospinal fluid (light yellow), cranial nerves (dark yellow), veins (blue), and arteries (red). Note the close proximity of the CSF, GM, veins, and arteries

Gray matter (gray), cerebrospinal fluid (light yellow), cranial nerves (dark yellow), veins (blue), and arteries (red). Note the close proximity of the CSF, GM, veins, and arteries

Source publication
Chapter
Full-text available
Introduction : Transcranial magnetic stimulation (TMS) is a major noninvasive neurostimulation method in which a coil placed near the head employs electromagnetic induction to produce electric fields and currents within the brain. To predict the actual site of stimulation, numerical simulation of the electric fields within the head using high-resol...

Contexts in source publication

Context 1
... bones (white); intervertebral disks (orange); veins and arteries (blue and red); and cranial nerves (yellow) The CSF mesh presented in isolation from all other tissues. Note the multitude of small, isolated compartments visible near the position of the cerebellum. Also note the tight channel for the vein near the top of the CSF mesh (compare with Fig. 4) ...
Context 2
... The dominant field direction (the y-axis of the coil coordinate system) is approximately perpendicular to the gyral crown and associated sulcal walls of the precentral gyrus pattern at the target point. Fig. 12 The coil model employed for this test Figure 13 shows the BEM-FMM convergence curve for this test setup after 100 GMRES iterations, and Fig. 14 shows the convergence curve for the first 15 iterations. The relative residual falls well below the threshold 10 À3 within 15 iterations, indicating that 15 iterations produce results within an acceptable error margin. The test was run on a 32-core Intel® Xeon® E5-2683 v4 CPU operating at 2.1 GHz with 256 GB RAM. On this machine, the ...

Similar publications

Chapter
Full-text available
In this study, the boundary element fast multipole method or BEM-FMM is applied to model compact clusters of tightly spaced pyramidal neocortical neurons firing simultaneously and coupled with a high-resolution macroscopic head model. The algorithm is capable of processing a very large number of surface-based unknowns along with a virtually unlimit...
Chapter
Full-text available
In this study, we characterize the performance of the fast multipole method (FMM) in solving the Laplace and Helmholtz equations. We use the FMM library developed by the group of Dr. L. Greengard. This version of the FMM algorithm is multilayer with no priori limit on the number of levels of the FMM tree, although, after about thirty levels, there...