Abstract:Transcranial magnetic stimulation (TMS) is a cortical regulation technique that utilizes the induced electric field in brain resulting from the stimulation current. The technique is now widely applied in the treatment of neurology, rehabilitation science, etc. Analysis of electric field induced by TMS has been a hot spot and has play an important role in TMS related safety issues and stimulation effect. It’s also necessary in stimulation scheme optimization and coil design. In this paper, we firstly introduced regular clinical side effects of TMS, and summarized the conventional electric field analysis methods in the current TMS research. Numerical methods and analytical methods that have been applied in TMS electric analysis were included along with their application scenarios, followed by the discussion of physiological modeling methods in TMS. In addition, due to the close relationship between the magnetic stimulation coil and the electric field distribution in brain tissue, this paper introduced several critical structures of TMS coil. Electric field distribution characteristics of several typical designs of the magnetic stimulation coil were simulated and analyzed with the spherical model based on finite element analysis software. In the end, the future development tendency of TMS electric field analysis was prospected.
夏思萍, 徐雅洁, 余颖聪, 顾卫国, 马昌玉, 杨晓冬. 经颅磁刺激电场分析研究进展[J]. 中国生物医学工程学报, 2020, 39(6): 727-735.
Xia Siping, Xu Yajie, Yu Yingcong, Gu Weiguo, Ma Changyu, Yang Xiaodong. Electric Field Analysis Progress of Transcranial Magnetic Stimulation Device. Chinese Journal of Biomedical Engineering, 2020, 39(6): 727-735.
[1] Barker AT, Jalinous R, Freeston IL. Non-invasive magnetic stimulation of human motor cortex [J]. The Lancet, 1985, 325(8437): 1106-1107. [2] George MS, Taylor JJ, Short EB. The expanding evidence base for rTMS treatment of depression [J]. Curr Opin Psychiatry, 2013, 26(1): 13-18. [3] Loo CK, Mitchell PB. A review of the efficacy of transcranial magnetic stimulation (TMS) treatment for depression, and current and future strategies to optimize efficacy [J]. Journal of Affective Disorders, 2005, 88(3): 255-267. [4] Rossi S, Hallett M, Rossini PM, et al. Safety, ethical considerations, and application guidelines for the use of transcranial magnetic stimulation in clinical practice and research [J]. Clin Neurophysiol, 2009, 120(12): 2008-2039. [5] Valero-Cabré A, Amengual JL, Stengel C, et al. Transcranial magnetic stimulation in basic and clinical neuroscience: A comprehensive review of fundamental principles and novel insights [J]. Neuroscience & Biobehavioral Reviews, 2017, 83:381-404. [6] Deng Zhide, Lisanby SH, Peterchev AV. Electric field depth-focality tradeoff in transcranial magnetic stimulation: simulation comparison of 50 coil designs [J]. Brain Stimul, 2013, 6(1): 1-13. [7] Schrader LM, Stern JM, Koski L, et al. Seizure incidence during single- and paired-pulse transcranial magnetic stimulation (TMS) in individuals with epilepsy [J]. Clinical Neurophysiology, 2004, 115(12): 2728-2737. [8] Holtzheimer PE, and William McDonald, eds. A clinical guide to transcranial magnetic stimulation [M]. Oxford University Press, 2014. [9] Bae EH, Schrader LM, Machii K, et al. Safety and tolerability of repetitive transcranial magnetic stimulation in patients with epilepsy: A review of the literature [J]. Epilepsy Behav, 2007, 10(4): 521-528. [10] Bruno V, Fossataro C, Garbarini F. Report of seizure induced by 10 Hz rTMS over M1 [J]. Brain Stimul, 2018, 11(2): 454-455. [11] Levkovitz Y, Isserles M, Padberg F, et al. Efficacy and safety of deep transcranial magnetic stimulation for major depression: a prospective multicenter randomized controlled trial [J]. World Psychiatry, 2015, 14(1): 64-73. [12] Pisani F, Oteri G, Costa C, et al. Effects of Psychotropic Drugs on Seizure Threshold [J]. Drug Safety, 2002, 25(2): 91-110. [13] Tassinari CA, Cincotta M, Zaccara G, et al. Transcranial magnetic stimulation and epilepsy [J]. Clinical Neurophysiology, 2003, 114(5): 777-798. [14] Loo CK, McFarquhar TF, Mitchell PB. A review of the safety of repetitive transcranial magnetic stimulation as a clinical treatment for depression [J]. Int J Neuropsychopharmacol, 2008, 11(1): 131-147. [15] Taylor R, Galvez V, Loo C. Transcranial magnetic stimulation (TMS) safety: a practical guide for psychiatrists [J]. Australasian Psychiatry, 2018, 26(2): 189-192. [16] Passard A, Attal N, Benadhira R, et al. Effects of unilateral repetitive transcranial magnetic stimulation of the motor cortex on chronic widespread pain in fibromyalgia [J]. Brain A Journal of Neurology, 2007, 130(10): 2661-2670. [17] Najib U, Horvath JC. Transcranial Magnetic Stimulation (TMS) Safety Considerations and Recommendations [M]// Rotenberg A, Horvath JC, Pascual-Leone, et al. Transcranial Magnetic Stimulation. New York: Springer, 2014:15-30. [18] Serafini G, Pompili M, Belvederi Murri M, et al. The Effects of repetitive transcranial magnetic stimulation on cognitive performance in treatment-resistant depression. A systematic review [J]. Neuropsychobiology, 2015, 71(3): 125-139. [19] Goetz SM, Deng Zhi-De. The development and modelling of devices and paradigms for transcranial magnetic stimulation [J]. Int Rev Psychiatry, 2017, 29(2): 115-145. [20] 雷银照. 关于电磁场解析方法的一些认识 [J]. 电工技术学报, 2016, 31(19): 11-25. [21] Heller L, van Hulsteyn DB. Brain stimulation using electromagnetic sources: theoretical aspects [J]. Biophysical Journal, 1992, 63(1): 129-138. [22] Makarov SN, Noetscher GM, Raij T, et al. A quasi-static boundary element approach with fast multipole acceleration for high-resolution bioelectromagnetic models [J]. IEEE Transactions on Biomedical Engineering, 2018, 65(12): 2675-2683. [23] Thielscher A, Antunes A, Saturnino GB. Field modeling for transcranial magnetic stimulation: a useful tool to understand the physiological effects of TMS?[C]// The 37th Annual International Conference of the IEEE Engineering in Medicine And Biology Society (EMBC). Milan: IEEE, 2015: 222-225. [24] Koponen LM, Nieminen JO, Ilmoniemi RJ. Minimum-energy coils for transcranial magnetic stimulation: application to focal stimulation [J]. Brain Stimul, 2015, 8(1): 124-134. [25] Gomez LJ, Goetz SM, Peterchev AV. Design of transcranial magnetic stimulation coils with optimal trade-off between depth, focality, and energy [J]. J Neural Eng, 2018, 15(4): 046033. [26] Nummenmaa A, Stenroos M, Ilmoniemi RJ, et al. Comparison of spherical and realistically shaped boundary element head models for transcranial magnetic stimulation navigation [J]. Clinical Neurophysiology, 2013, 124(10): 1995-2007. [27] Salinas FS, Lancaster JL, Fox PT. 3D modeling of the total electric field induced by transcranial magnetic stimulation using the boundary element method [J]. Physics in Medicine and Biology, 2009, 54(12): 3631-3647. [28] Koponen LM, Nieminen JO, Mutanen TP, et al. Coil optimisation for transcranial magnetic stimulation in realistic head geometry [J]. Brain Stimul, 2017, 10(4): 795-805. [29] Toschi N, Welt T, Guerrisi M, et al. A reconstruction of the conductive phenomena elicited by transcranial magnetic stimulation in heterogeneous brain tissue [J]. Physica Medica, 2008, 24(2): 80-86. [30] Liu Feng, Zhao Huawei, Crozier S. On the induced electric field gradients in the human body for magnetic stimulation by gradient coils in MRI [J]. IEEE Transactions on Biomedical Engineering, 2003, 50(7): 804-815. [31] Rastogi P, Lee EG, Hadimani RL, et al. Transcranial magnetic stimulation-coil design with improved focality [J]. AIP Advances, 2017, 7(5): 056705. [32] Opitz A, Windhoff M, Heidemann RM, et al. How the brain tissue shapes the electric field induced by transcranial magnetic stimulation [J]. Neuroimage, 2011, 58(3): 849-859. [33] Deng Zhi-De, Lisanby SH, Peterchev AV. Coil design considerations for deep transcranial magnetic stimulation [J]. Clin Neurophysiol, 2014, 125(6): 1202-1212. [34] Chang Siyuan, Wei Xile, Zhang Zhen, et al. Twin coil design considerations for depth and focality in transcranial magnetic stimulation [J]. IEEE Transactions on Magnetics, 2018, 54(11): 1-5. [35] Alekseichuk I, Mantell K, Shirinpour S, et al. Comparative modeling of transcranial magnetic and electric stimulation in mouse, monkey, and human [J]. Neuroimage, 2019, 194:136-148. [36] Paffi A, Camera F, Carducci F, et al. A computational model for real-time calculation of electric field due to transcranial magnetic stimulation in clinics [J]. International Journal of Antennas and Propagation, 2015, 2015: 976854. [37] Htet AT, Saturnino GB, Burnham EH, et al. Comparative performance of the finite element method and the boundary element fast multipole method for problems mimicking transcranial magnetic stimulation (TMS) [J]. Journal of Neural Engineering, 2019, 16(2): 024001. [38] Stenroos M, Koponen LM. Real-time computation of the TMS-induced electric field in a realistic head model [EB/OL]. http://dx.doi.org/10.1101/547315, 2019-02-12/2020-02-01. [39] Yokota T, Maki T, Nagata T, et al. Real-time estimation of electric fields induced by transcranial magnetic stimulation with deep neural networks [J]. Brain Stimul, 2019, 12(6): 1500-1507. [40] Thielscher A, Opitz A, Windhoff M. Impact of the gyral geometry on the electric field induced by transcranial magnetic stimulation [J]. NeuroImage, 2011, 54(1): 234-243. [41] Branston NM, Tofts PS. Analysis of the distribution of currents induced by a changing magnetic field in a volume conductor [J]. Physics in Medicine and Biology, 1991, 36(2): 161-168. [42] Williams PI, Marketos P, Crowther LJ, et al. New Designs for Deep Brain Transcranial Magnetic Stimulation [J]. IEEE Transactions on Magnetics, 2012, 48(3): 1171-1178. [43] Grandori F, Ravazzani P. Magnetic stimulation of the motor cortex-theoretical considerations [J]. IEEE Transactions on Biomedical Engineering, 1991, 38(2): 180-191. [44] Guadagnin V, Parazzini M, Fiocchi S, et al. Deep transcranial magnetic stimulation: Modeling of different coil configurations [J]. IEEE Trans Biomed Eng, 2016, 63(7): 1543-1550. [45] Nadeem M, Thorlin T, Gandhi OP, et al. Computation of electric and magnetic stimulation in human head using the 3-D impedance method [J]. IEEE Transactions on Biomedical Engineering, 2003, 50(7): 900-907. [46] Chen Ming, Mogul DJ. Using increased structural detail of the cortex to improve the accuracy of modeling the effects of transcranial magnetic stimulation on neocortical activation [J]. IEEE Transactions on Biomedical Engineering, 2010, 57(5): 1216-1226. [47] Wang Boshuo, Shen MR, Deng Zhide, et al. Redesigning existing transcranial magnetic stimulation coils to reduce energy: application to low field magnetic stimulation [J]. J Neural Eng, 2018, 15(3): 036022. [48] De Geeter N, Crevecoeur G, Leemans A, et al. Effective electric fields along realistic DTI-based neural trajectories for modelling the stimulation mechanisms of TMS [J]. Physics in Medicine & Biology, 2014, 60(2): 453-471. [49] De Geeter N, Crevecoeur G, Dupré L, et al. A DTI-based model for TMS using the independent impedance method with frequency-dependent tissue parameters [J]. Physics in Medicine & Biology, 2012, 57(8): 2169-2188. [50] Opitz A, Legon W, Rowlands A, et al. Physiological observations validate finite element models for estimating subject-specific electric field distributions induced by transcranial magnetic stimulation of the human motor cortex [J]. NeuroImage, 2013, 81:253-264. [51] Wassermann EM, Zimmermann T. Transcranial magnetic brain stimulation: Therapeutic promises and scientific gaps [J]. Pharmacology & Therapeutics, 2012, 133(1): 98-107. [52] Goodwin BD, Butson CR. Subject-Specific Multiscale Modeling to Investigate Effects of Transcranial Magnetic Stimulation [J]. Neuromodulation, 2015, 18(8): 694-704. [53] Crowther LJ, Hadimani RL, Jiles DC. Effect of Anatomical Brain Development on Induced Electric Fields During Transcranial Magnetic Stimulation [J]. IEEE Transactions on Magnetics, 2014, 50(11): 1-4. [54] Fiocchi S, Longhi M, Ravazzani P, et al. Modelling of the electric field distribution in deep transcranial magnetic stimulation in the adolescence, in the adulthood, and in the old Age [J]. Comput Math Methods Med, 2016, 2016:1-9. [55] Rashed EA, Gomez-Tames J, Hirata A. Human head skin thickness modeling for electromagnetic dosimetry [J]. IEEE Access, 2019, 7:46176-46186. [56] Sousa SCP, Almeida J, Miranda PC, et al. Optimization of multiple coils immersed in a conducting liquid for half-hemisphere or whole-brain deep transcranial magnetic stimulation: A simulation study[C]// The 36th Annual International Conference of the IEEE Engineering in Medicine and Biology Society. Chicago:IEEE, 2014: 538-541. [57] Stenroos M, Mntynen V, Nenonen J. A Matlab library for solving quasi-static volume conduction problems using the boundary element method [J]. Computer Methods and Programs in Biomedicine, 2007, 88(3): 256-263. [58] Windhoff M, Opitz A, Thielscher A. Electric field calculations in brain stimulation based on finite elements: an optimized processing pipeline for the generation and usage of accurate individual head models [J]. Human Brain Mapping, 2013, 34(4): 923-935. [59] Weise K, Numssen O, Thielscher A, et al. A novel approach to localize cortical TMS effects [EB/OL]. https://www.biorxiv.org/content/10.1101/595603v2, 2019-10-07/2020-02-01. [60] Ueno S, Tashiro T, Harada KJJoAP. Localized stimulation of neural tissues in the brain by means of a paired configuration of time-varying magnetic fields [J]. Journal of Applied Physics, 1988, 64(10): 5862-5864. [61] Roth B, Turner R, Cohen L, et al. New coil design for magnetic stimulation with improved focality [J]. Movem Dis, 1990, 5(suppl 1): 32-32. [62] Roth B, Maccabee P, Eberle L, et al. In vitro evaluation of a 4-leaf coil design for magnetic stimulation of peripheral nerve [J]. Electroencephalography & Clinical Neurophysiology, 1994, 93(1): 68-74. [63] Ren Chunye, Tarjan PP, Popovic DBJIToBE. A novel electric design for electromagnetic stimulation-the slinky coil [J]. IEEE Transactions on Biomedical Engineering, 1995, 42(9): 918-925. [64] Kai-Hsiung H, Durand DM. A 3-D differential coil design for localized magnetic stimulation [J]. IEEE Transactions on Biomedical Engineering, 2001, 48(10): 1162-1168. [65] Li Jiangtao, Liang Zheng, Ai Qingyao, et al. Double butterfly coil for transcranial magnetic stimulation aiming at improving focality [J]. IEEE Transactions on Magnetics, 2012, 48(11): 3509-3512. [66] Roth Y, Zangen A, Hallett M. A coil design for transcranial magnetic stimulation of deep brain regions [J]. J Clin Neurophysiol, 2002, 19:361-370. [67] Lontis ER, Voigt M, Struijk JJ. Focality assessment in transcranial magnetic stimulation with double and cone coils [J]. Journal of Clinical Neurophysiology, 2006, 23(5): 463-472. [68] Salinas FS, Lancaster JL, Fox PT. Detailed 3D models of the induced electric field of transcranial magnetic stimulation coils [J]. Phys Med Biol, 2007, 52: 2879-2892. [69] 赵琛. 磁刺激颅内感应电场分布及能量分布仿真与线圈优化研究 [D]. 北京: 北京协和医学院, 2011. [70] 李帅. 多参数可调经颅磁刺激系统的设计与分析 [D]. 天津:天津大学, 2018.