Lozano AM, Lipsman N, Bergman H, Brown P, Chabardes S, Chang JW, et al. Deep brain stimulation: current challenges and future directions. Nat Rev Neurol. 2019;15(3):148–60.

Article  PubMed  PubMed Central  Google Scholar 

Siebner HR, Hartwigsen G, Kassuba T, Rothwell JC. How does transcranial magnetic stimulation modify neuronal activity in the brain? Implications for studies of cognition. Cortex. 2009;45(9):1035–42.

Article  PubMed  PubMed Central  Google Scholar 

Sdrulla AD, Guan Y, Raja SN. Spinal cord stimulation: clinical efficacy and potential mechanisms. Pain Pract. 2018;18(8):1048–67.

Article  PubMed  PubMed Central  Google Scholar 

Paffi A, Camera F, Apollonio F, d’Inzeo G, Liberti M. Numerical characterization of intraoperative and chronic electrodes in deep brain stimulation. Front Comput Neurosci. 2015;9:2.

Article  PubMed  PubMed Central  Google Scholar 

Agnesi F, Muralidharan A, Baker KB, Vitek JL, Johnson MD. Fidelity of frequency and phase entrainment of circuit-level spike activity during DBS. J Neurophysiol. 2015;114:825–34.

Article  CAS  PubMed  PubMed Central  Google Scholar 

Stratton J. Electromagnetic theory. New York: McGraw-Hill; 1941.

Google Scholar 

Di Lazzaro V, Oliviero A, Pilato F, Saturno E, Dileone M, Mazzone P, et al. The physiological basis of transcranial motor cortex stimulation in conscious humans. Clin Neurophysiol. 2004;115(2):255–66.

Article  PubMed  Google Scholar 

Mills KR, Boniface SJ, Schubert M. Magnetic brain stimulation with a double coil: the importance of coil orientation. Electroencephalogr Clin Neurophysiol. 1992;85(1):17–21.

Article  CAS  PubMed  Google Scholar 

Bashir S, Perez JM, Horvath JC, Pascual-Leone A. Differentiation of motor cortical representation of hand muscles by navigated mapping of optimal TMS current directions in healthy subjects. J Clin Neurophysiol. 2013;30(4):390–5.

Article  PubMed  PubMed Central  Google Scholar 

Laakso I, Hirata A, Ugawa Y. Effects of coil orientation on the electric field induced by TMS over the hand motor area. Phys Med Biol. 2014;59(1):203–18.

Article  PubMed  Google Scholar 

Salvador R, Silva S, Basser PJ, Miranda PC. Determining which mechanisms lead to activation in the motor cortex: a modeling study of transcranial magnetic stimulation using realistic stimulus waveforms and sulcal geometry. Clin Neurophysiol. 2011;122(4):748–58.

Article  CAS  PubMed  Google Scholar 

Janssen AM, Oostendorp TF, Stegeman DF. The coil orientation dependency of the electric field induced by TMS for M1 and other brain areas. J Neuroeng Rehabil. 2015;12:47.

Article  PubMed  PubMed Central  Google Scholar 

Ye H, Cotic M, Carlen PL. Transmembrane potential induced in a spherical cell model under low-frequency magnetic stimulation. J Neural Eng. 2007;4(3):283–93.

Article  PubMed  Google Scholar 

Tan T, Xie J, Tong Z, Liu T, Chen X, Tian X. Repetitive transcranial magnetic stimulation increases excitability of hippocampal CA1 pyramidal neurons. Brain Res. 2013;1520:23–35.

Article  CAS  PubMed  Google Scholar 

Zheng Y, Ma W, Dong L, Dou JR, Gao Y, Xue J. Influence of the on-line ELF-EMF stimulation on the electrophysiological properties of the rat hippocampal CA1 neurons in vitro. Rev Sci Instrum. 2017;88(10): 105106.

Article  PubMed  Google Scholar 

Tokay T, Holl N, Kirschstein T, Zschorlich V, Kohling R. High-frequency magnetic stimulation induces long-term potentiation in rat hippocampal slices. Neurosci Lett. 2009;461(2):150–4.

Article  CAS  PubMed  Google Scholar 

Durand DM. Electric field effects in hyperexcitable neural tissue: a review. Radiat Prot Dosim. 2003;106(4):325–31.

Article  CAS  Google Scholar 

Pascual-Leone A, Tormos JM, Keenan J, Tarazona F, Canete C, Catala MD. Study and modulation of human cortical excitability with transcranial magnetic stimulation. J Clin Neurophysiol. 1998;15(4):333–43.

Article  CAS  PubMed  Google Scholar 

Dayan E, Censor N, Buch ER, Sandrini M, Cohen LG. Noninvasive brain stimulation: from physiology to network dynamics and back. Nat Neurosci. 2013;16(7):838–44.

Article  CAS  PubMed  PubMed Central  Google Scholar 

Parkin BL, Ekhtiari H, Walsh VF. Non-invasive human brain stimulation in cognitive neuroscience: a primer. Neuron. 2015;87(5):932–45.

Article  CAS  PubMed  Google Scholar 

Brighina F, Piazza A, Daniele O, Fierro B. Modulation of visual cortical excitability in migraine with aura: effects of 1 Hz repetitive transcranial magnetic stimulation. Exp Brain Res. 2002;145(2):177–81.

Article  PubMed  Google Scholar 

Paus T. Inferring causality in brain images: a perturbation approach. Philos Trans R Soc Lond B Biol Sci. 2005;360(1457):1109–14.

Article  PubMed  PubMed Central  Google Scholar 

Ye H, Steiger A. Neuron matters: electric activation of neuronal tissue is dependent on the interaction between the neuron and the electric field. J Neuroeng Rehabil. 2015;12:65.

Article  PubMed  PubMed Central  Google Scholar 

Okada YC, Huang JC, Rice ME, Tranchina D, Nicholson C. Origin of the apparent tissue conductivity in the molecular and granular layers of the in vitro turtle cerebellum and the interpretation of current source-density analysis. J Neurophysiol. 1994;72(2):742–53.

Article  CAS  PubMed  Google Scholar 

Holsheimer J. Electrical conductivity of the hippocampal CA1 layers and application to current-source-density analysis. Exp Brain Res. 1987;67(2):402–10.

Article  CAS  PubMed  Google Scholar 

Autere AM, Lamsa K, Kaila K, Taira T. Synaptic activation of GABAA receptors induces neuronal uptake of Ca2+ in adult rat hippocampal slices. J Neurophysiol. 1999;81(2):811–6.

Article  CAS  PubMed  Google Scholar 

De Lucia M, Parker GJ, Embleton K, Newton JM, Walsh V. Diffusion tensor MRI-based estimation of the influence of brain tissue anisotropy on the effects of transcranial magnetic stimulation. Neuroimage. 2007;36(4):1159–70.

Article  PubMed  Google Scholar 

Yousif N, Bayford R, Wang S, Liu X. Quantifying the effects of the electrode-brain interface on the crossing electric currents in deep brain recording and stimulation. Neuroscience. 2008;152(3):683–91.

Article  CAS  PubMed  Google Scholar 

Rampersad SM, Janssen AM, Lucka F, Aydin U, Lanfer B, Lew S, et al. Simulating transcranial direct current stimulation with a detailed anisotropic human head model. IEEE Trans Neural Syst Rehabil Eng. 2014;22(3):441–52.

Article  PubMed  Google Scholar 

Wagner S, Rampersad SM, Aydin U, Vorwerk J, Oostendorp TF, Neuling T, et al. Investigation of tDCS volume conduction effects in a highly realistic head model. J Neural Eng. 2014;11(1): 016002.

Article  CAS  PubMed  Google Scholar 

Miranda PC, Hallett M, Basser PJ. The electric field induced in the brain by magnetic stimulation: a 3-D finite-element analysis of the effect of tissue heterogeneity and anisotropy. IEEE Trans Biomed Eng. 2003;50(9):1074–85.

Article  PubMed  Google Scholar 

Opitz A, Windhoff M, Heidemann RM, Turner R, Thielscher A. How the brain tissue shapes the electric field induced by transcranial magnetic stimulation. Neuroimage. 2011;58(3):849–59.

Article  PubMed  Google Scholar 

Lee DC, Grill WM. Polarization of a spherical cell in a nonuniform extracellular electric field. Ann Biomed Eng. 2005;33(5):603–15.

Article  PubMed  Google Scholar 

Pucihar G, Kotnik T, Valic B, Miklavcic D. Numerical determination of transmembrane voltage induced on irregularly shaped cells. Ann Biomed Eng. 2006;34(4):642–52.

Article  CAS  PubMed  Google Scholar 

Pavlin M, Pavselj N, Miklavcic D. Dependence of induced transmembrane potential on cell density, arrangement, and cell position inside a cell system. IEEE Trans Biomed Eng. 2002;49(6):605–12.

Article  PubMed  Google Scholar 

Newbold C, Richardson R, Millard R, Seligman P, Cowan R, Shepherd R. Electrical stimulation causes rapid changes in electrode impedance of cell-covered electrodes. J Neural Eng. 2011;8(3): 036029.

Article  PubMed  PubMed Central  Google Scholar 

Campbell A, Wu C. Chronically implanted intracranial electrodes: tissue reaction and electrical changes. Micromachines. 2018;9(9):430.

Article  PubMed Central  Google Scholar 

Patil AC, Thakor NV. Implantable neurotechnologies: a review of micro- and nanoelectrodes for neural recording. Med Biol Eng Comput. 2016;54(1):23–44.

Article  PubMed