Physics of effects of transcranial brain stimulation

Handbook of Clinical Neurology

Volumn 116, Issue , 2013, Pages 353-366

  Miranda, Pedro Cavaleiro ^a  

^a UNIVERSITY OF LISBON   (Portugal)

Author keywords

Anisotropy; Brain stimulation; Electric field; Focality; Heterogeneity; Spatial distribution; TDCS; TMS; Transcranial direct current stimulation; Transcranial magnetic stimulation

Indexed keywords

ANIMAL; ANISOTROPY; ARTICLE; BIOPHYSICS; BRAIN; BRAIN DEPTH STIMULATION; ELECTRIC FIELD; FOCALITY; HETEROGENEITY; HUMAN; PHYSIOLOGY; SPATIAL DISTRIBUTION; TDCS; TMS; TRANSCRANIAL DIRECT CURRENT STIMULATION; TRANSCRANIAL MAGNETIC STIMULATION;

ANISOTROPY; BRAIN STIMULATION; ELECTRIC FIELD; FOCALITY; HETEROGENEITY; SPATIAL DISTRIBUTION; TDCS; TMS; TRANSCRANIAL DIRECT CURRENT STIMULATION; TRANSCRANIAL MAGNETIC STIMULATION;

ANIMALS; ANISOTROPY; BIOPHYSICAL PHENOMENA; BIOPHYSICS; BRAIN; HUMANS; TRANSCRANIAL MAGNETIC STIMULATION;

EID: 84885099233     PISSN: 00729752     EISSN: None     Source Type: Book Series    
DOI: 10.1016/B978-0-444-53497-2.00029-2     Document Type: Chapter

References (150)

1. Akhtari M., Bryant H.C., Mamelak A.N., et al. Conductivities of three-layer live human skull. Brain Topogr 2002, 14:151-167.
2. Barker A.T., Jalinous R., Freeston I.L. Non-invasive magnetic stimulation of human motor cortex. Lancet 1985, 1:1106-1107.
3. Baumann S.B., Wozny D.R., Kelly S.K., et al. The electrical conductivity of human cerebrospinal fluid at body temperature. IEEE Trans Biomed Eng 1997, 44:220-223.
4. Burger H.C., van Dongen R. Specific electric resistivity of body tissues. Phys Med Biol 1961, 5:431-447.
5. Burger H.C., van Milaan J.B. Measurements of the specific resistance of the human body to direct current. Acta Med Scand 1943, 114:584-607.
6. Carbunaru R., Durand D.M. Toroidal coil models for transcutaneous magnetic stimulation of nerves. IEEE Trans Biomed Eng 2001, 48:434-441.
7. Chen M., Mogul D.J. A structurally detailed finite element human head model for simulation of transcranial magnetic stimulation. J Neurosci Methods 2009, 179:111-120.
8. Cohen D., Cuffin B.N. Developing a more focal magnetic stimulator. Part I: Some basic principles. J Clin Neurophysiol 1991, 8:102-111.
9. Cohen L.G., Roth B.J., Nilsson J., et al. Effects of coil design on delivery of focal magnetic stimulation. Technical considerations. Electroencephalogr Clin Neurophysiol 1990, 75:350-357.
10. Corthout E., Barker A.T., Cowey A. Transcranial magnetic stimulation. Which part of the current waveform causes the stimulation?. Exp Brain Res 2001, 141:128-132.
11. Crile G.W., Hosmer H.R., Rowland A.F. The electrical conductivity of animal tissues under normal and pathological conditions. Am J Physiol 1922, 60:59-106.
12. Dannhauer M., Lanfer B., Wolters C.H., et al. Modeling of the human skull in EEG source analysis. Hum Brain Mapp 2011, 32:1383-1399.
13. Datta A., Elwassif M., Battaglia F., et al. Transcranial current stimulation focality using disc and ring electrode configurations: FEM analysis. J Neural Eng 2008, 5:163-174.
14. Datta A., Bansal V., Diaz J. Gyri-precise head model of transcranial direct current stimulation: improved spatial focality using a ring electrode versus conventional rectangular pad. Brain Stimul 2009, 2:201-207.e1.
15. Datta A., Bikson M., Fregni F. Transcranial direct current stimulation in patients with skull defects and skull plates: high-resolution computational FEM study of factors altering cortical current flow. Neuroimage 2010, 52:1268-1278.
16. Davey K., Epstein C.M. Magnetic stimulation coil and circuit design. IEEE Trans Biomed Eng 2000, 47:1493-1499.
17. Davey K., Riehl M. Designing transcranial magnetic stimulation systems. IEEE Trans Magn 2005, 41:1142-1148.
18. Davey K.R., Riehl M. Suppressing the surface field during transcranial magnetic stimulation. IEEE Trans Biomed Eng 2006, 53:190-194.
19. Day B.L., Dressler D., Maertens de Noordhout A., et al. Electric and magnetic stimulation of human motor cortex: surface EMG and single motor unit responses. J Physiol 1989, 412:449-473.
20. De Lucia M., Parker G.J.M., Embleton K., et al. Diffusion tensor MRI-based estimation of the influence of brain tissue anisotropy on the effects of transcranial magnetic stimulation. Neuroimage 2007, 36:1159-1170.
21. Dmochowski J.P., Datta A., Bikson M., et al. Optimized multi-electrode stimulation increases focality and intensity at target. J Neural Eng 2011, 8:046011.
22. Duck F.A. Physical Properties of Tissues. A Comprehensive Reference Book 1990, Academic Press, London.
23. Eaton H. Electric field induced in a spherical volume conductor from arbitrary coils: application to magnetic stimulation and MEG. Med Biol Eng Comput 1992, 30:433-440.
24. Epstein B.R., Foster K.R. Anisotropy in the dielectric properties of skeletal muscle. Med Biol Eng Comput 1983, 21:51-55.
25. Esselle K.P., Stuchly M.A. Neural stimulation with magnetic fields: analysis of induced electric fields. IEEE Trans Biomed Eng 1992, 39:693-700.
26. Esselle K.P., Stuchly M.A. Quasi-static electric field in a cylindrical volume conductor induced by external coils. IEEE Trans Biomed Eng 1994, 41:151-158.
27. Esselle K.P., Stuchly M.A. Cylindrical tissue model for magnetic field stimulation of neurons: effects of coil geometry. IEEE Trans Biomed Eng 1995, 42:934-941.
28. Faes T.J., van der Meij H.A., de Munck J.C., et al. The electric resistivity of human tissues (100Hz-10 MHz): a meta- analysis of review studies. Physiol Meas 1999, 20:R1-R10.
29. Faria P., Leal A., Miranda P.C. Comparing different electrode configurations using the 10-10 international system in tDCS: a finite element model analysis. Conf Proc IEEE Eng Med Biol Soc 2009, 2009:1596-1599.
30. Faria P., Hallett M., Miranda P.C. A finite element analysis of the effect of electrode area and inter-electrode distance on the spatial distribution of the current density in tDCS. J Neural Eng 2011, 8:066017.
31. Ferdjallah M., Bostick F.X., Barr R.E. Potential and current density distributions of cranial electrotherapy stimulation (CES) in a four-concentric-spheres model. IEEE Trans Biomed Eng 1996, 43:939-943.
32. Foster K.R., Schwan H.P. Dielectric properties of tissues and biological materials: a critical review. Crit Rev Biomed Eng 1989, 17:25-104.
33. Foster K.R., Schwan H.P. Dielectric properties of tissues. Handbook of Biological Effects of Electromagnetic Fields 1996, 25-100. CRC Press, Boca Raton, FL. C. Polk, E. Postow (Eds.).
34. Fox P.T., Narayana S., Tandon N., et al. Column-based model of electric field excitation of cerebral cortex. Hum Brain Mapp 2004, 22:1-14.
35. Francis J.T., Gluckman B.J., Schiff S.J. Sensitivity of neurons to weak electric fields. J Neurosci 2003, 23:7255-7261.
36. Fregni F., Boggio P.S., Nitsche M., et al. Anodal transcranial direct current stimulation of prefrontal cortex enhances working memory. Exp Brain Res 2005, 166:23-30.
37. Freygang W.H., Landau W.M. Some relations between resistivity and electrical activity in the cerebral cortex of the cat. J Cell Comp Physiol 1955, 45:377-392.
38. Gabriel C., Gabriel S., Corthout E. The dielectric properties of biological tissues: I. Literature survey. Phys Med Biol 1996, 41:2231-2249.
39. Gabriel S., Lau R.W., Gabriel C. The dielectric properties of biological tissues: II. Measurements in the frequency range 10Hz to 20GHz. Phys Med Biol 1996, 41:2251-2269.
40. Gabriel S., Lau R.W., Gabriel C. The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissues. Phys Med Biol 1996, 41:2271-2293.
41. Geddes L.A., Baker L.E. The specific resistance of biological material - a compendium of data for the biomedical engineer and physiologist. Med Biol Eng 1967, 5:271-293.
42. Geddes L.A., Baker L.E. Principles of Applied Biomedical Instrumentation 1989, John Wiley & Sons, New York. 3rd edn.
43. Gielen F.L., Wallinga-de Jonge W., Boon K.L. Electrical conductivity of skeletal muscle tissue: experimental results from different muscles in vivo. Med Biol Eng Comput 1984, 22:569-577.
44. Gielen F.L., Cruts H.E., Albers B.A., et al. Model of electrical conductivity of skeletal muscle based on tissue structure. Med Biol Eng Comput 1986, 24:34-40.
45. Gonçalves S.I., de Munck J.C., Verbunt J.P., et al. In vivo measurement of the brain and skull resistivities using an EIT-based method and realistic models for the head. IEEE Trans Biomed Eng 2003, 50:754-767.
46. Grandori F., Ravazzani P. Magnetic stimulation of the motor cortex - theoretical considerations. IEEE Trans Biomed Eng 1991, 38:180-191.
47. Gullmar D., Haueisen J., Reichenbach J.R. Influence of anisotropic electrical conductivity in white matter tissue on the EEG/MEG forward and inverse solution. A high-resolution whole head simulation study. Neuroimage 2010, 51:145-163.
48. Hallez H., Vanrumste B., Van Hese P., et al. Dipole estimation errors due to differences in modeling anisotropic conductivities in realistic head models for EEG source analysis. Phys Med Biol 2008, 53:1877-1894.
49. Haueisen J., Tuch D.S., Ramon C., et al. The influence of brain tissue anisotropy on human EEG and MEG. Neuroimage 2002, 15:159-166.
50. Heller L., van Hulsteyn D.B. Brain stimulation using electromagnetic sources: theoretical aspects. Biophys J 1992, 63:129-138.
51. Hoekema R., Wieneke G.H., Leijten F.S., et al. Measurement of the conductivity of skull, temporarily removed during epilepsy surgery. Brain Topogr 2003, 16:29-38.
52. Hoeltzell P.B., Dykes R.W. Conductivity in the somatosensory cortex of the cat - evidence for cortical anisotropy. Brain Res 1979, 177:61-82.
53. Hsu K.H., Durand D.M. A 3-D differential coil design for localized magnetic stimulation. IEEE Trans Biomed Eng 2001, 48:1162-1168.
54. Im C.H., Jung H.H., Choi J.D., et al. Determination of optimal electrode positions for transcranial direct current stimulation (tDCS). Phys Med Biol 2008, 53:N219-N225.
55. Iyer M.B., Mattu U., Grafman J., et al. Safety and cognitive effect of frontal DC brain polarization in healthy individuals. Neurology 2005, 64:872-875.
56. Jackson J.D. Classical Electrodynamics 1999, Wiley, New York. 3rd edn.
57. Jacobson L., Koslowsky M., Lavidor M. tDCS polarity effects in motor and cognitive domains: a meta-analytical review. Exp Brain Res 2012, 216:1-10.
58. Jasper H.H. Report of the committee on methods of clinical examination in electroencephalography - 1957. Electroencephalogr Clin Neurophysiol 1958, 10:370-375.
59. Jurcak V., Tsuzuki D., Dan I. 10/20, 10/10, and 10/5 systems revisited: their validity as relative head-surface-based positioning systems. Neuroimage 2007, 34:1600-1611.
60. Kammer T., Beck S., Erb M., et al. The influence of current direction on phosphene thresholds evoked by transcranial magnetic stimulation. Clin Neurophysiol 2001, 112:2015-2021.
61. Kammer T., Beck S., Thielscher A., et al. Motor thresholds in humans: a transcranial magnetic stimulation study comparing different pulse waveforms, current directions and stimulator types. Clin Neurophysiol 2001, 112:250-258.
62. Kanai R., Chaieb L., Antal A., et al. Frequency-dependent electrical stimulation of the visual cortex. Curr Biol 2008, 18:1839-1843.
63. Kaneko K., Kawai S., Fuchigami Y., et al. The effect of current direction induced by transcranial magnetic stimulation on the corticospinal excitability in human brain. Electroencephalogr Clin Neurophysiol 1996, 101:478-482.
64. Koessler L., Maillard L., Benhadid A., et al. Automated cortical projection of EEG sensors: anatomical correlation via the international 10-10 system. Neuroimage 2009, 46:64-72.
65. Lai Y., van Drongelen W., Ding L., et al. Estimation of in vivo human brain-to-skull conductivity ratio from simultaneous extra- and intra-cranial electrical potential recordings. Clin Neurophysiol 2005, 116:456-465.
66. Law S.K. Thickness and resistivity variations over the upper surface of the human skull. Brain Topogr 1993, 6:99-109.
67. Levkovitz Y., Roth Y., Harel E.V., et al. A randomized controlled feasibility and safety study of deep transcranial magnetic stimulation. Clin Neurophysiol 2007, 118:2730-2744.
68. Liu R., Ueno S. Calculating the activation function of nerve excitation in inhomogeneous volume conductor during magnetic stimulation using the finite element method. IEEE Trans Magn 2000, 36:1796-1799.
69. Logothetis N.K., Kayser C., Oeltermann A. In vivo measurement of cortical impedance spectrum in monkeys: implications for signal propagation. Neuron 2007, 55:809-823.
70. Maccabee P.J., Nagarajan S.S., Amassian V.E., et al. Influence of pulse sequence, polarity and amplitude on magnetic stimulation of human and porcine peripheral nerve. J Physiol 1998, 513:571-585.
71. Marshall L., Helgadottir H., Molle M., et al. Boosting slow oscillations during sleep potentiates memory. Nature 2006, 444:610-613.
72. Merton P.A., Morton H.B. Stimulation of the cerebral cortex in the intact human subject. Nature 1980, 285:227.
73. Mills K.R., Boniface S.J., Schubert M. Magnetic brain stimulation with a double coil: the importance of coil orientation. Electroencephalogr Clin Neurophysiol 1992, 85:17-21.
74. Miranda P.C., Hallett M., Basser P.J. 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, 50:1074-1085.
75. Miranda P.C., Lomarev M., Hallett M. Modeling the current distribution during transcranial direct current stimulation. Clin Neurophysiol 2006, 117:1623-1629.
76. Miranda P.C., Faria P., Hallett M. What does the ratio of injected current to electrode area tell us about current density in the brain during tDCS?. Clin Neurophysiol 2009, 120:1183-1187.
77. Moliadze V., Antal A., Paulus W. Electrode-distance dependent after-effects of transcranial direct and random noise stimulation with extracephalic reference electrodes. Clin Neurophysiol 2010, 121:2165-2171.
78. Nicholson P.W. Specific impedance of cerebral white matter. Exp Neurol 1965, 13:386-401.
79. Nicholson C., Freeman J.A. Theory of current source-density analysis and determination of conductivity tensor for anuran cerebellum. J Neurophysiol 1975, 38:356-368.
80. Niehaus L., Meyer B.U., Weyh T. Influence of pulse configuration and direction of coil current on excitatory effects of magnetic motor cortex and nerve stimulation. Clin Neurophysiol 2000, 111:75-80.
81. Nitsche M.A., Paulus W. Excitability changes induced in the human motor cortex by weak transcranial direct current stimulation. J Physiol 2000, 527:633-639.
82. Nitsche M.A., Paulus W. Transcranial direct current stimulation - update 2011. Restor Neurol Neurosci 2011, 29:463-492.
83. Nitsche M.A., Doemkes S., Karakose T., et al. Shaping the effects of transcranial direct current stimulation of the human motor cortex. J Neurophysiol 2007, 97:3109-3117.
84. Nitsche M.A., Cohen L.G., Wassermann E.M., et al. Transcranial direct current stimulation: state of the art 2008. Brain Stimul 2008, 1:206-223.
85. O'Reardon J.P., Solvason H.B., Janicak P.G., et al. Efficacy and safety of transcranial magnetic stimulation in the acute treatment of major depression: a multisite randomized controlled trial. Biol Psychiatry 2007, 62:1208-1216.
86. Okada Y.C., Huang J.C., Rice M.E., et al. 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, 72:742-753.
87. Oostendorp T., van Oosterom A. The potential distribution generated by surface electrodes in inhomogeneous volume conductors of arbitrary shape. IEEE Trans Biomed Eng 1991, 38:409-417.
88. Oostendorp T.F., Delbeke J., Stegeman D.F. The conductivity of the human skull: results of in vivo and in vitro measurements. IEEE Trans Biomed Eng 2000, 47:1487-1492.
89. Park J.H., Hong S.B., Kim D.W., et al. A novel array-type transcranial direct current stimulation (tDCS) system for accurate focusing on targeted brain areas. IEEE Trans Magn 2011, 47:885.
90. Pascual-Leone A., Cohen L.G., Brasil-Neto J.P., et al. Non-invasive differentiation of motor cortical representation of hand muscles by mapping of optimal current directions. Electroencephalogr Clin Neurophysiol 1994, 93:42-48.
91. Pascual-Leone A., Cohen L.G., Brasil-Neto J.P., et al. Differentiation of sensorimotor neuronal structures responsible for induction of motor evoked potentials, attenuation in detection of somatosensory stimuli, and induction of sensation of movement by mapping of optimal current directions. Electroencephalogr Clin Neurophysiol 1994, 93:230-236.
92. Paulus W. Transcranial electrical stimulation (tES - tDCS; tRNS, tACS) methods. Neuropsychol Rehabil 2011, 21:602-617.
93. Peterchev A.V., Jalinous R., Lisanby S.H. A transcranial magnetic stimulator inducing near-rectangular pulses with controllable pulse width (cTMS). IEEE Trans Biomed Eng 2008, 55:257-266.
94. Peterchev A.V., Murphy D.L., Lisanby S.H. Repetitive transcranial magnetic stimulator with controllable pulse parameters. J Neural Eng 2011, 8:036016.
95. Plonsey R., Heppner D.B. Considerations of quasi-stationarity in electrophysiological systems. Bull Math Biophys 1967, 29:657-664.
96. Radvan-Ziemnowicz S.A., McWilliams J.C., Kucharski W.E. Conductivity versus frequency in human and feline cerebrospinal fluid 1964, Cleveland, OH.
97. Ranck J.B. Specific impedance of rabbit cerebral cortex. Exp Neurol 1963, 7:144-152.
98. Ranck J.B. Electrical impedance in the subicular area of rats during paradoxical sleep. Exp Neurol 1966, 16:416-437.
99. Ranck J.B., BeMent S.L. The specific impedance of the dorsal columns of cat: an anisotropic medium. Exp Neurol 1965, 11:451-463.
100. Ravazzani P., Ruohonen J., Grandori F., et al. Magnetic stimulation of the nervous system: induced electric field in unbounded, semi-infinite, spherical, and cylindrical media. Ann Biomed Eng 1996, 24:606-616.
101. Reilly J.P. Applied Bioelectricity: From Electrical Stimulations to Electropathology 1998, Springer, New York.
102. Ren C., Tarjan P.P., Popovic D.B. A novel electric design for electromagnetic stimulation - the Slinky coil. IEEE Trans Biomed Eng 1995, 42:918-925.
103. Rigaud B., Hamzaoui L., Chauveau N., et al. Tissue characterization by impedance: a multifrequency approach. Physiol Meas 1994, 15:A13-A20.
104. Robillard P.N., Poussart Y. Specific-impedance measurements of brain tissues. Med Biol Eng Comput 1977, 15:438-445.
105. Roth B.J., Cohen L.G., Hallett M., et al. A theoretical calculation of the electric field induced by magnetic stimulation of a peripheral nerve. Muscle Nerve 1990, 13:734-741.
106. Roth B.J., Cohen L.G., Hallett M. The electric field induced during magnetic stimulation. Electroencephalogr Clin Neurophysiol Suppl 1991, 43:268-278.
107. Roth B.J., Saypol J.M., Hallett M., et al. A theoretical calculation of the electric field induced in the cortex during magnetic stimulation. Electroencephalogr Clin Neurophysiol 1991, 81:47-56.
108. Roth B.J., Maccabee P.J., Eberle L.P., et al. In vitro evaluation of a 4-leaf coil design for magnetic stimulation of peripheral nerve. Electroencephalogr Clin Neurophysiol 1994, 93:68-74.
109. Roth Y., Zangen A., Hallett M. A coil design for transcranial magnetic stimulation of deep brain regions. J Clin Neurophysiol 2002, 19:361-370.
110. Roth Y., Amir A., Levkovitz Y., et al. Three-dimensional distribution of the electric field induced in the brain by transcranial magnetic stimulation using figure-8 and deep H-coils. J Clin Neurophysiol 2007, 24:31-38.
111. Ruohonen J., Ilmoniemi R.J. Focusing and targeting of magnetic brain stimulation using multiple coils. Med Biol Eng Comput 1998, 36:297-301.
112. Ruohonen J., Ravazzani P., Grandori F. An analytical model to predict the electric field and excitation zones due to magnetic stimulation of peripheral nerves. IEEE Trans Biomed Eng 1995, 42:158-161.
113. Ruohonen J., Ravazzani P., Grandori F., et al. Theory of multichannel magnetic stimulation: toward functional neuromuscular rehabilitation. IEEE Trans Biomed Eng 1999, 46:646-651.
114. Rush S., Driscoll D.A. Current distribution in the brain from surface electrodes. Anesth Analg 1968, 47:717-723.
115. Rush S., Driscoll D.A. EEG electrode sensitivity - an application of reciprocity. IEEE Trans Biomed Eng 1969, 16:15-22.
116. Rush S., Abildskov J.A., McFee R. Resistivity of body tissues at low frequencies. Circ Res 1963, 12:40-50.
117. Rushton W.A.H. The effect upon the threshold for nervous excitation of the length of nerve exposed, and the angle between current and nerve. J Physiol 1927, 63:357-377.
118. Sadleir R.J., Argibay A. Modeling skull electrical properties. Ann Biomed Eng 2007, 35:1699-1712.
119. Sadleir R.J., Vannorsdall T.D., Schretlen D.J., et al. Transcranial direct current stimulation (tDCS) in a realistic head model. Neuroimage 2010, 51:1310-1318.
120. Salvador R., Miranda P.C. Transcranial magnetic stimulation of small animals: a modeling study of the influence of coil geometry, size and orientation. Conf Proc IEEE Eng Med Biol Soc 2009, 2009:674-677.
121. Salvador R., Mekonnen A., Ruffini G., et al. Modeling the electric field induced in a high resolution realistic head model during transcranial current stimulation. Conf Proc IEEE Eng Med Biol Soc 2010, 2010:2073-2076.
122. Salvador R., Silva S., Basser P.J., et al. 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, 122:748-758.
123. Saypol J.M., Roth B.J., Cohen L.G., et al. A theoretical comparison of electric and magnetic stimulation of the brain. Ann Biomed Eng 1991, 19:317-328.
124. Schwan H.P., Kay C.F. Specific resistance of body tissues. Circ Res 1956, 4:664-670.
125. Silvanto J., Muggleton N., Walsh V. State-dependency in brain stimulation studies of perception and cognition. Trends Cogn Sci 2008, 12:447-454.
126. Smith S.R., Foster K.R. Dielectric properties of low-water-content tissues. Phys Med Biol 1985, 30:965-973.
127. Smythe W.R. Static and Dynamic Electricity 1989, Taylor & Francis, Bristol, PA. 3rd edn.
128. Stecker M.M. Transcranial electric stimulation of motor pathways: a theoretical analysis. Comput Biol Med 2005, 35:133-155.
129. Stuchly M.A., Stuchly S.S. Dielectric properties of biological substances - tabulated. J Microw Power 1980, 15:19-26.
130. Suh H.S., Lee W.H., Cho Y.S., et al. Reduced spatial focality of electrical field in tDCS with ring electrodes due to tissue anisotropy. Conf Proc IEEE Eng Med Biol Soc 2010, 2010:2053-2056.
131. Terney D., Chaieb L., Moliadze V., et al. Increasing human brain excitability by transcranial high-frequency random noise stimulation. J Neurosci 2008, 28:14147-14155.
132. Thielscher A., Kammer T. Electric field properties of two commercial figure-8 coils in TMS: calculation of focality and efficiency. Clin Neurophysiol 2004, 115:1697-1708.
133. Thielscher A., Opitz A., Windhoff M. Impact of the gyral geometry on the electric field induced by transcranial magnetic stimulation. Neuroimage 2011, 54:234-243.
134. Tofts P.S. The distribution of induced currents in magnetic stimulation of the nervous system. Phys Med Biol 1990, 35:1119-1128.
135. Tuch D.S., Wedeen V.J., Dale A.M., et al. Conductivity tensor mapping of the human brain using diffusion tensor MRI. Proc Natl Acad Sci U S A 2001, 98:11697-11701.
136. Tufail Y., Matyushov A., Baldwin N., et al. Transcranial pulsed ultrasound stimulates intact brain circuits. Neuron 2010, 66:681-694.
137. Ueno S., Tashiro T., Harada K. Localized stimulation of neural tissues in the brain by means of a paired configuration of time-varying magnetic fields. J Appl Physiol 1988, 64:5862-5864.
138. Van Harreveld A., Murphy T., Nobel K.W. Specific impedance of rabbit's cortical tissue. Am J Physiol 1963, 205:203-207.
139. Wagner T., Zahn M., Grodzinsky A.J., et al. Three-dimensional head model simulation of transcranial magnetic stimulation. IEEE Trans Biomed Eng 2004, 51:1586-1598.
140. Wagner T., Fregni F., Eden U., et al. Transcranial magnetic stimulation and stroke: a computer-based human model study. Neuroimage 2006, 30:857-870.
141. Wagner T., Fregni F., Fecteau S., et al. Transcranial direct current stimulation: a computer-based human model study. Neuroimage 2007, 35:1113-1124.
142. Wang W., Eisenberg S.R. A three-dimensional finite element method for computing magnetically induced currents in tissues. IEEE Trans Magn 1994, 30:5015-5023.
143. Werhahn K.J., Fong J.K., Meyer B.U., et al. The effect of magnetic coil orientation on the latency of surface EMG and single motor unit responses in the first dorsal interosseous muscle. Electroencephalogr Clin Neurophysiol 1994, 93:138-146.
144. Wolters C.H., Anwander A., Tricoche X., et al. Influence of tissue conductivity anisotropy on EEG/MEG field and return current computation in a realistic head model: a simulation and visualization study using high-resolution finite element modeling. Neuroimage 2006, 30:813-826.
145. Yamamoto T., Yamamoto Y. Dielectric constant and resistivity of epidermal stratum corneum. Med Biol Eng 1976, 14:494-500.
146. Yamamoto T., Yamamoto Y. Electrical properties of the epidermal stratum corneum. Med Biol Eng 1976, 14:151-158.
147. Zaehle T., Rach S., Herrmann C.S. Transcranial alternating current stimulation enhances individual alpha activity in human EEG. PLoS One 2010, 5:e13766.
148. Zangen A., Roth Y., Voller B., et al. Transcranial magnetic stimulation of deep brain regions: evidence for efficacy of the H-coil. Clin Neurophysiol 2005, 116:775-779.
149. Zheng E., Shao S., Webster J.G. Impedance of skeletal muscle from 1Hz to 1MHz. IEEE Trans Biomed Eng 1984, 31:477-481.
150. Zimmermann K.P., Simpson R.K. "Slinky" coils for neuromagnetic stimulation. Electroencephalogr Clin Neurophysiol 1996, 101:145-152.