Investigating the Distribution of Induced Electric Field Generated by Double Square Semicircle Coil in Transcranial Magnetic Stimulation
DOI:
https://doi.org/10.13052/2025.ACES.J.400107Keywords:
Finite-element method, focality, Sim4Life, stimulation depth, stimulation intensityAbstract
Transcranial magnetic stimulation (TMS) is a physical technique that modulates the human brain nervous system and can be used as a non-invasive treatment for neurological diseases. To address the problem of poor focusing performance of TMS coils, this study first designs a new coil geometry, Double Square Semicircle (DSS) coil, based on traditional coil stimulation characteristics. Second, this study uses the Sim4Life finite element simulation software to compare the stimulation characteristics of DSS coil and six traditional coils under the head model, proving that the induced electric field generated by DSS coil has high-focusing performance. Third, this paper explores the effects of four physical parameters - the distance between the human brain model and the coil, different stimulation directions, coil size and coil bending angle - on the spatial distribution of the induced electric field. After the above simulation experiments, the optimal design scheme of DSS coil is found. Experimental results show that, compared with several traditional coils, the focusing effect can be improved by up to 77.49%, proving that DSS is a high-focusing performance TMS coil, which is suitable for future TMS high-precision treatment needs.
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O. F. Afuwape, H. Oya, A. D. Boes, and D. C. Jiles, “Measurement and modeling of the effects of transcranial magnetic stimulation on the brain,” IEEE Trans. Magn., vol. 57, no. 2, pp. 1-5, Feb. 2021.
J. C. Lin, “Transcranial magnetic stimulation therapy for depression and psychiatric disorders,” IEEE Microwave Mag., vol. 17, no. 8, pp. 23-93, Aug. 2016.
S. Chang, X. Wei, Z. Zhang, J. Wang, M. Lu, and G. Yi, “Twin coil design considerations for depth and focality in transcranial magnetic stimulation,” IEEE Trans. Magn., vol. 54, no. 11, pp. 1-5, Nov. 2018.
H. Xiong, Q. Y. Li, and J. Z. Liu, “Performance optimization and simulation research of new coil for transcranial magnetic stimulation based on improved particle swarm optimizer,” IEEE Trans. Magn., vol. 57, no. 12, pp. 1-11, Dec. 2021.
M. Dannhauer, Z. Huang, L. Beynel, E. Wood, Y. Li, H. Palmer, S. Hilbig, S. Davis, R. Cabeza, and L. Appelbaum, “TAP: Targeting and analysis pipeline for optimization and verification of TMS coil placement,” Brain Stimul., vol. 14, no. 6, p. 1620, Dec. 2021.
Y. Roth, A. Amir, Y. Levkovitz, and A. Zangen, “Three-dimensional distribution of the electric field induced in the brain by transcranial magnetic stimulation using figure-8 and deep H-coils,” Clin Neurophysiol., vol. 24, no. 1, pp. 31-38, Feb. 2007.
Z. D. Deng, S. H. Lisanby, and A. V. Peterchev, “Electric field depth-focality tradeoff in transcranial magnetic stimulation: simulation comparison of 50 coils designs,” Brain Stimul., vol. 6, no. 1, pp. 1-13, Jan. 2013.
A. T. Barker, R. I. Jalinous, and I. L. Freeston, “Noninvasive magnetic stimulation of the human motor cortex,” Lancet, vol. 1, pp. 1106-1107, May 1985.
D. Cohen and B. N. Cuffin, “Developing a more focal magnetic stimulator. Part I: Some basic principles,” J. Clin Neurophysiol., vol. 8, no. 1, pp. 102-111, Jan. 1991.
S. Lu, H. Jiang, C. Li, B. Hong, P. Zhang, and W. Liu, “Genetic algorithm for TMS coil position optimization in stroke treatment,” Front. Pub. Health, vol. 9, p. 794167, Mar. 2022.
H. Magsood, F. Syeda, K. Holloway, I. C. Carmona, and R. L. Hadimani, “Safety study of combination treatment: deep brain stimulation and transcranial magnetic stimulation,” Front. Hum. Neurosci., vol. 14, Apr. 2020.
D. H. Kim, G. E. Georghiou, and C. Won, “Improved field localization in transcranial magnetic stimulation of the brain with the utilization of a conductive shield plate in the stimulator,” IEEE Trans. BioMed., vol. 53, no. 4, pp. 720-725, Apr. 2006.
E. R. Lontis, M. Voigt, and J. J. Struijk, “Focality assessment in transcranial magnetic stimulation with double and conecoils,” Clin. Neurophysiol., vol. 23, no. 5, pp. 463-472, Oct. 2006.
B. J. Roth, P. J. Maccabee, L. P. Eberle, V. E. Amassian, M. Hallett, J. Cadwell, G. D. Anselmi, and G. T. Tatarian, “In vitro evaluation of a 4-leaf coils design for magnetic stimulation of peripheral nerve,” Electroencephalogr. Clin. Neurophysiol., vol. 93, no. 1, pp. 68-74, Feb. 1994.
K. P. Zimmermann, and R. K. Simpson, “‘Slinky’ coils for neuromagnetic stimulation,” Electroencephalogr. Clin. Neurophysiol., vol. 101, no. 2, pp. 145-152, Apr. 1996.
C. Ren, P. P. Tarjan, and D. B. Popovic, “A novel electric design for electro-magnetic stimulation-the slinky coils,” IEEE Trans on Biomedical Eng., vol. 42, no. 9, pp. 918-925, Sep. 1995.
M. Colella, D. Z. Press, R. M. Laher, C. E. McIlduff, S. B. Rutkove, A. M. Cassarà, F. Apollonio, A. P. Leone, M. Liberti, and G. Bonmassar “A study of flex miniaturized coils for focal nerve magnetic stimulation,” Medical Physics, vol. 50, no. 3, pp. 1779-1792, Mar. 2023.
C. Zhao, S. Q. Zhang, Z. P. Liu, and T. Yin, “Simulation study to improve focality of a figure eight coils by using a conductive shield plate and a ferromagnetic block,” IEEE Trans. Neural Syst. Rehab. Eng., vol. 23, no. 4, pp. 529-537, July 2015.
S. Fiocchi, Y. Roth, A. Zangen, P. Ravazzani, and M. Parazzini, “Assessment of the electric field induced by deep transcranial magnetic stimulation in the elderly using h-coil,” Applied Computational Electromagnetics Society (ACES) Journal, vol. 31, no. 6, pp. 636-643, June 2016.
Y. X. Wu, H. Y. Yu, and Z. W. Liu, “Numerical investigation of the magnetic and electric field distributions produced by biconical transcranial magnetic stimulation coils for optimal design,” IEEE Trans. Magn., vol. 54, no. 11, pp. 1-5, Nov. 2018.
X. Fang, H. F. Ding, Y. H. Huang, J. Zhou, Q. J. Wang, and Z. F. Zhao, “Improved intracranial induced electrical field in transcranial magnetic stimulation with semiellipse coil pair,” IEEE Trans. Applied Superconductivity, vol. 28, no. 3, pp. 1-6, Apr. 2018.
P. Rastigi, E. G. Lee, R. L. Hadimani, and D. C. Jiles, “Transcranial magnetic stimulation-coils design with improved focality,” AIP Adv., vol. 7, no. 5, p. 056705, May 2017.
E. G. Lee, P. Rastogi, R. L. Hadimani, D. C. Jiles, and J. A. Camprodon, “Impact of non-brain anatomy and coil orientation on inter- and intra-subject variability in TMS at midline,” Clinical Neurophysiology, vol. 129, no. 9, pp. 1873-1883, Sep. 2018.
J. S. Elam, M. F. Glasser, M. P. Harms, S. N. Sotiropoulos, J. L. R. Andersson, G. C. Burgess, S. W. Curtiss, R. Oostenveld, L. J. Larson-Prior, J. M. Schoffelen, M. R. Hodge, E. A. Cler, D. M. Marcus, D. M. Barch, E. Yacoub, S. M. Smith, K. Ugurbil, and D. C. Van Essen, “The Human Connectome Project: A retrospective,” NeuroImage, vol. 244, no. Suppl C, p. 118543, Dec. 2021.
S. Gabriel, R. W. Lau, and C. Gabriel, “The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz-20 GHz,” Phys. Med. Biol., vol. 41, pp. 2251-2269, Nov. 1996.
S. Zhang, P. Silburn, N. Pouratian, B. Cheeran, L. Venkatesan, A. Kent, and A. Schnitzler, “Comparing current steering technologies for directional deep brain stimulation using a computational model that incorporates heterogeneous tissue properties,” Neuromodulation, vol. 23, no. 4, pp. 469-477, June 2020.
M. Colella, A. Paffi, V. D. Santis, F. Apollonio, and M. Liberti, “Effect of skin conductivity on the electric field induced by transcranial stimulation techniques in different head models,” Physics in Medicine Biology, vol. 66, no. 3, p. 035010, Jan. 2021.
T. Wagner, U. Eden, J. Rushmore, C. J. Russo, L. Dipietro, F. Fregni, S. Simon, S. Rotman, N. B. Pitskel, C. Ramos-Estebanez, A. P. Leone, A. J. Grodzinsky, M. Zahn, and A. V. Cabre, “Impact of brain tissue filtering on neurostimulation fields: A modeling study,” NeuroImage, vol. 85, Special SI, pp. 1048-1057, Jan. 2014.
Y. Wang, Y. H. Yang, Y. H. Qi, E. Z. Gong, H. Y. Zhang, L. T. Shi, and Z. G. Li, “Investigating the electric field distribution in the human brain model induced by a high focality transcranial magnetic coil,” AIP Adv., vol. 13, no. 10, p. 105211, Oct. 2023.


