Adaptive Cross Approximation for E-field-Guided Noninvasive Magnetic Brain Stimulation

Transcranial magnetic stimulation (TMS) is a noninvasive method that uses coils placed on the scalp to stimulate brain regions via magnetic induction. TMS is known to stimulate regions that are exposed to a large E-field magnitude. As a result, computational E-field dosimetry is increasingly being used to inform TMS administration. Existing methods for computational E-field dosimetry require substantial run-times that limit their applicability for many practical applications. We have developed a computational method based on adaptive cross approximations of matrices for fast computational E-field dosimetry of TMS. These methods will enable the development of improved TMS paradigms.