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Optimization, implementation, and performance of TMS coils with maximum focality and various stimulation depths

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J Neural Eng. 2026 Feb 9. doi: 10.1088/1741-2552/ae4382. Online ahead of print.

ABSTRACT

OBJECTIVE: Conventional transcranial magnetic stimulation (TMS) coils generate a diffuse and shallow electric field (E-field) in the brain, resulting in limited spatial targeting precision (focality). Previously, we developed a methodology for designing theoretical TMS coils to achieve maximal focality for a given E-field penetration depth and minimize the required energy. This paper presents the practical design, implementation, and characterization of such focal-deep TMS (fdTMS) coils.

APPROACH: We considered how the coil’s shape affects energy requirements and designed a curved “hat” former that enables a wide range of coil placements while improving energy efficiency compared to flat formers. To improve energy efficiency, we introduced optimized-coverage partial-multi-layer windings of the coil. Through simulations with a spherical head model, we benchmarked the focality of the fdTMS E-field in the brain and the scalp, as well as the required energy, against conventional TMS coils. We then implemented two fdTMS coil designs with copper wire wound inside a 3d-printed plastic former.

MAIN RESULTS: The E-field of the prototype fdTMS coils and conventional figure-8 counterparts were simulated in spherical and realistic head models and measured with a robotic probe, confirming a more compact fdTMS E-field. The fdTMS coils were also compared to two commercial coils with motor mapping in nine human subjects, which confirmed improved focality of fdTMS at the cost of greater E-field spread, increased energy loss and heating from the smaller wire diameter positioning constraints of the curved coil surface.

SIGNIFICANCE: The study findings inform TMS coil implementation for precise mapping and targeting applications, and the design framework can be leveraged for future coil optimizations.

PMID:41662768 | DOI:10.1088/1741-2552/ae4382

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