Design of transcranial magnetic stimulation coils with optimal trade-off between depth, focality, and energy.

Journal Article (Journal Article)

OBJECTIVE: Transcranial magnetic stimulation (TMS) is a noninvasive brain stimulation technique used for research and clinical applications. Existent TMS coils are limited in their precision of spatial targeting (focality), especially for deeper targets. This paper presents a methodology for designing TMS coils to achieve optimal trade-off between the depth and focality of the induced electric field (E-field), as well as the energy required by the coil. APPROACH: A multi-objective optimization technique is used for computationally designing TMS coils that achieve optimal trade-offs between E-field focality, depth, and energy (fdTMS coils). The fdTMS coil winding(s) maximize focality (minimize the volume of the brain region with E-field above a given threshold) while reaching a target at a specified depth and not exceeding predefined peak E-field strength and required coil energy. Spherical and MRI-derived head models are used to compute the fundamental depth-focality trade-off as well as focality-energy trade-offs for specific target depths. MAIN RESULTS: Across stimulation target depths of 1.0-3.4 cm from the brain surface, the suprathreshold volume can be theoretically decreased by 42%-55% compared to existing TMS coil designs. The suprathreshold volume of a figure-8 coil can be decreased by 36%, 44%, or 46%, for matched, doubled, or quadrupled energy. For matched focality and energy, the depth of a figure-8 coil can be increased by 22%. SIGNIFICANCE: Computational design of TMS coils could enable more selective targeting of the induced E-field. The presented results appear to be the first significant advancement in the depth-focality trade-off of TMS coils since the introduction of the figure-8 coil three decades ago, and likely represent the fundamental physical limit.

Full Text

Duke Authors

Cited Authors

  • Gomez, LJ; Goetz, SM; Peterchev, AV

Published Date

  • August 2018

Published In

Volume / Issue

  • 15 / 4

Start / End Page

  • 046033 -

PubMed ID

  • 29855433

Pubmed Central ID

  • PMC6433395

Electronic International Standard Serial Number (EISSN)

  • 1741-2552

Digital Object Identifier (DOI)

  • 10.1088/1741-2552/aac967


  • eng

Conference Location

  • England