Physics of effects of transcranial brain stimulation.

The effects of transcranial stimulation are determined to a large extent by the spatial distribution and temporal variation of the electric field produced in the brain. In this chapter, we first describe some of the factors that affect the electric field in the brain generally, such as the effect of tissue heterogeneity and anisotropy, or focality. These are common to transcranial magnetic stimulation (TMS) and to several forms of transcranial current stimulation (tCS), such as transcranial direct current stimulation (tDCS), transcranial alternating current stimulation (tACS), and transcranial random noise stimulation (tRNS). Then the main features of the electric field in the human brain during TMS and tCS are presented. This knowledge is important to predict the location and extent of the stimulated region as well as the stimulation intensity in the brain.

[1]  R. Salvador,et al.  Transcranial magnetic stimulation of small animals: A modeling study of the influence of coil geometry, size and orientation , 2009, 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[2]  A. Barker,et al.  Transcranial magnetic stimulation , 2001, Experimental Brain Research.

[3]  R. Sadleir,et al.  Modeling Skull Electrical Properties , 2007, Annals of Biomedical Engineering.

[4]  H. Schwan,et al.  Specific Resistance of Body Tissues , 1956, Circulation research.

[5]  Dominique M. Durand,et al.  A 3-D differential coil design for localized magnetic stimulation , 2001, IEEE Transactions on Biomedical Engineering.

[6]  N. Chauveau,et al.  Tissue characterization by impedance: a multifrequency approach. , 1994, Physiological measurement.

[7]  R. Salvador,et al.  Modeling the electric field induced in a high resolution realistic head model during transcranial current stimulation , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.

[8]  Sarah H. Lisanby,et al.  A Transcranial Magnetic Stimulator Inducing Near-Rectangular Pulses With Controllable Pulse Width (cTMS) , 2008, IEEE Transactions on Biomedical Engineering.

[9]  A. van Oosterom,et al.  The potential distribution generated by surface electrodes in inhomogeneous volume conductors of arbitrary shape , 1991, IEEE Transactions on Biomedical Engineering.

[10]  J B Ranck,et al.  Electrical impedance in the subicular area of rats during paradoxical sleep. , 1966, Experimental neurology.

[11]  T. Kammer,et al.  Electric field properties of two commercial figure-8 coils in TMS: calculation of focality and efficiency , 2004, Clinical Neurophysiology.

[12]  M. Hallett,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. , 1994, Electroencephalography and clinical neurophysiology.

[13]  R. W. Lau,et al.  The dielectric properties of biological tissues: II. Measurements in the frequency range 10 Hz to 20 GHz. , 1996, Physics in medicine and biology.

[14]  Moritz Dannhauer,et al.  Modeling of the human skull in EEG source analysis , 2011, Human brain mapping.

[15]  J. B. Ranck,et al.  THE SPECIFIC IMPEDANCE OF THE DORSAL COLUMNS OF CAT: AN INISOTROPIC MEDIUM. , 1965, Experimental neurology.

[16]  D. A. Dunnett.  Classical Electrodynamics , 2020, Nature.

[17]  P. Basser,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 , 2011, Clinical Neurophysiology.

[18]  A. Antal,et al.  Increasing Human Brain Excitability by Transcranial High- Frequency Random Noise Stimulation , 2009, NeuroImage.

[19]  S. Sato,et al.  Safety and cognitive effect of frontal DC brain polarization in healthy individuals , 2005, Neurology.

[20]  M.A. Stuchly,et al.  Quasi-static electric field in a cylindrical volume conductor induced by external coils [human body application] , 1994, IEEE Transactions on Biomedical Engineering.

[21]  H. Boom,et al.  Model of electrical conductivity of skeletal muscle based on tissue structure , 2006, Medical and Biological Engineering and Computing.

[22]  Alberto Leal,et al.  Comparing different electrode configurations using the 10-10 international system in tDCS: A finite element model analysis , 2009, 2009 Annual International Conference of the IEEE Engineering in Medicine and Biology Society.

[23]  S. Schiff,et al.  Sensitivity of Neurons to Weak Electric Fields , 2003, The Journal of Neuroscience.

[24]  G. Crile,et al.  THE ELECTRICAL CONDUCTIVITY OF ANIMAL TISSUES UNDER NORMAL AND PATHOLOGICAL CONDITIONS , 1922 .

[25]  Stuchly,et al.  DIELECTRIC PROPERTIES OF BIOLOGICAL SUBSTANCES–TABULATED , 1980 .

[26]  P. Fox,et al.  Column‐based model of electric field excitation of cerebral cortex , 2004, Human brain mapping.

[27]  C. Nicholson,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. , 1994, Journal of neurophysiology.

[28]  L. Parra,et al.  Optimized multi-electrode stimulation increases focality and intensity at target , 2011, Journal of neural engineering.

[29]  P. Ravazzani,et al.  Theory of multichannel magnetic stimulation: toward functional neuromuscular rehabilitation , 1999, IEEE Transactions on Biomedical Engineering.

[30]  J Cadwell,et al.  In vitro evaluation of a 4-leaf coil design for magnetic stimulation of peripheral nerve. , 1994, Electroencephalography and clinical neurophysiology.

[31]  W. Sutherling,et al.  Conductivities of Three-Layer Live Human Skull , 2004, Brain Topography.

[32]  M. Hallett,et al.  Transcranial magnetic stimulation of deep brain regions: evidence for efficacy of the H-Coil , 2005, Clinical Neurophysiology.

[33]  Shoogo Ueno,et al.  Calculating the activating function of nerve excitation in inhomogeneous volume conductor during magnetic stimulation using the finite element method , 2000 .

[34]  K. L. Boon,et al.  Electrical conductivity of skeletal muscle tissue: Experimental results from different musclesin vivo , 1984, Medical and Biological Engineering and Computing.

[35]  W. Drongelen,et al.  Estimation of in vivo human brain-to-skull conductivity ratio from simultaneous extra- and intra-cranial electrical potential recordings , 2005, Clinical Neurophysiology.

[36]  Mark Hallett,et al.  A Coil Design for Transcranial Magnetic Stimulation of Deep Brain Regions , 2002, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[37]  K Kaneko,et al.  The effect of current direction induced by transcranial magnetic stimulation on the corticospinal excitability in human brain. , 1996, Electroencephalography and clinical neurophysiology.

[38]  S. Lisanby,et al.  Repetitive transcranial magnetic stimulator with controllable pulse parameters , 2011, Journal of neural engineering.

[39]  Mark Hallett,et al.  A theoretical calculation of the electric field induced by magnetic stimulation of a peripheral nerve , 1990, Muscle & nerve.

[40]  R. Young,et al.  Brain stimulation. , 1990, Neurosurgery clinics of North America.

[41]  A. Antal,et al.  Electrode-distance dependent after-effects of transcranial direct and random noise stimulation with extracephalic reference electrodes , 2010, Clinical Neurophysiology.

[42]  Won Hee Lee,et al.  Reduced spatial focality of electrical field in tDCS with ring electrodes due to tissue anisotropy , 2010, 2010 Annual International Conference of the IEEE Engineering in Medicine and Biology.

[43]  L. Heller,et al.  Brain stimulation using electromagnetic sources: theoretical aspects. , 1992, Biophysical journal.

[44]  Chang-Hwan Im,et al.  A Novel Array-Type Transcranial Direct Current Stimulation (tDCS) System for Accurate Focusing on Targeted Brain Areas , 2010, IEEE Transactions on Magnetics.

[45]  M. Hallett,et al.  Non-invasive differentiation of motor cortical representation of hand muscles by mapping of optimal current directions. , 1994, Electroencephalography and clinical neurophysiology.

[46]  D. A. Driscoll,et al.  EEG electrode sensitivity--an application of reciprocity. , 1969, IEEE transactions on bio-medical engineering.

[47]  Fetsje Bijma,et al.  In vivo measurement of the brain and skull resistivities using an EIT-based method and realistic models for the head , 2003, IEEE Transactions on Biomedical Engineering.

[48]  P. V. van Rijen,et al.  Measurement of the Conductivity of Skull, Temporarily Removed During Epilepsy Surgery , 2004, Brain Topography.

[49]  B N Cuffin,et al.  Developing a more focal magnetic stimulator. Part I: Some basic principles. , 1991, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[50]  Sergio P. Rigonatti,et al.  Anodal transcranial direct current stimulation of prefrontal cortex enhances working memory , 2005, Experimental Brain Research.

[51]  K. Foster,et al.  Dielectric properties of tissues and biological materials: a critical review. , 1989, Critical reviews in biomedical engineering.

[52]  W. Rushton.  The effect upon the threshold for nervous excitation of the length of nerve exposed, and the angle between current and nerve , 1927, The Journal of physiology.

[53]  S. K. Law,et al.  Thickness and resistivity variations over the upper surface of the human skull , 2005, Brain Topography.

[54]  Kent R. Davey,et al.  Suppressing the surface field during transcranial magnetic stimulation , 2006, IEEE Transactions on Biomedical Engineering.

[55]  Bart Vanrumste,et al.  Dipole estimation errors due to differences in modeling anisotropic conductivities in realistic head models for EEG source analysis , 2008, Physics in medicine and biology.

[56]  C Gabriel,et al.  The dielectric properties of biological tissues: I. Literature survey. , 1996, Physics in medicine and biology.

[57]  K. Harada,et al.  Localized stimulation of neural tissues in the brain by means of a paired configuration of time-varying magnetic fields , 1988 .

[58]  A. Dale,et al.  Conductivity tensor mapping of the human brain using diffusion tensor MRI , 2001, Proceedings of the National Academy of Sciences of the United States of America.

[59]  M. Hallett,et al.  Modeling the current distribution during transcranial direct current stimulation , 2006, Clinical Neurophysiology.

[60]  J. Patrick Reilly,et al.  Applied Bioelectricity: From Electrical Stimulation to Electropathology , 1998 .

[61]  Robert W. Dykes,et al.  Conductivity in the somatosensory cortex of the cat — evidence for cortical anisotropy , 1979, Brain Research.

[62]  K. Davey,et al.  Designing transcranial magnetic stimulation systems , 2005, IEEE Transactions on Magnetics.

[63]  M Hallett,et al.  The electric field induced during magnetic stimulation. , 1991, Electroencephalography and clinical neurophysiology. Supplement.

[64]  P. Nicholson,et al.  Specific impedance of cerebral white matter. , 1965, Experimental neurology.

[65]  Vincent Walsh,et al.  Frequency-Dependent Electrical Stimulation of the Visual Cortex , 2008, Current Biology.

[66]  M. Stuchly,et al.  Cylindrical tissue model for magnetic field stimulation of neurons: effects of coil geometry , 1995, IEEE Transactions on Biomedical Engineering.

[67]  David R. Wozny,et al.  The electrical conductivity of human cerebrospinal fluid at body temperature , 1997, IEEE Transactions on Biomedical Engineering.

[68]  Susan Rae Smith-Baish,et al.  The dielectric properties of tissues , 1991 .

[69]  Markus Zahn,et al.  Transcranial magnetic stimulation and stroke: A computer-based human model study , 2006, NeuroImage.

[70]  Valer Jurcak,et al.  10/20, 10/10, and 10/5 systems revisited: Their validity as relative head-surface-based positioning systems , 2007, NeuroImage.

[71]  J. Haueisen,et al.  The Influence of Brain Tissue Anisotropy on Human EEG and MEG , 2002, NeuroImage.

[72]  J. B. Ranck,et al.  Specific impedance of rabbit cerebral cortex. , 1963, Experimental neurology.

[73]  P. Ravazzani,et al.  Magnetic stimulation of the motor cortex-theoretical considerations , 1991, IEEE Transactions on Biomedical Engineering.

[74]  H. Morton,et al.  Stimulation of the cerebral cortex in the intact human subject , 1980, Nature.

[75]  S. Tillery,et al.  Transcranial Pulsed Ultrasound Stimulates Intact Brain Circuits , 2010, Neuron.

[76]  S. Boniface,et al.  Magnetic brain stimulation with a double coil: the importance of coil orientation. , 1992, Electroencephalography and clinical neurophysiology.

[77]  H. C. Burger,et al.  Specific electric resistance of body tissues. , 1961, Physics in medicine and biology.

[78]  J. D. Munck,et al.  The electric resistivity of human tissues (100 Hz-10 MHz): a meta-analysis of review studies. , 1999, Physiological measurement.

[79]  W. Landau,et al.  Some relations between resistivity and electrical activity in the cerebral cortex of the cat. , 1955, Journal of cellular and comparative physiology.

[80]  A. Barker,et al.  NON-INVASIVE MAGNETIC STIMULATION OF HUMAN MOTOR CORTEX , 1985, The Lancet.

[81]  H. C. Burger,et al.  Measurements of the specific Resistance of the human Body to direct Current , 2009 .

[82]  M. Hallett,et al.  A finite element analysis of the effect of electrode area and inter-electrode distance on the spatial distribution of the current density in tDCS , 2011, Journal of neural engineering.

[83]  H. Eaton.  Electric field induced in a spherical volume conductor from arbitrary coils: application to magnetic stimulation and MEG , 1992, Medical and Biological Engineering and Computing.

[84]  M. Koslowsky,et al.  tDCS polarity effects in motor and cognitive domains: a meta-analytical review , 2011, Experimental Brain Research.

[85]  B. Day,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. , 1994, Electroencephalography and clinical neurophysiology.

[86]  Walter Paulus,et al.  Transcranial direct current stimulation--update 2011. , 2011, Restorative neurology and neuroscience.

[87]  S. Bandinelli,et al.  Effects of coil design on delivery of focal magnetic stimulation. Technical considerations. , 1990, Electroencephalography and clinical neurophysiology.

[88]  Mark Hallett,et al.  The electric field induced in the brain by magnetic stimulation: a 3-D finite-element analysis of the effect of tissue heterogeneity and anisotropy , 2003, IEEE Transactions on Biomedical Engineering.

[89]  Xavier Tricoche,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 , 2006, NeuroImage.

[90]  K. Foster,et al.  Anisotropy in the dielectric properties of skeletal muscle , 2006, Medical and Biological Engineering and Computing.

[91]  Abhishek Datta,et al.  Transcranial direct current stimulation in patients with skull defects and skull plates: High-resolution computational FEM study of factors altering cortical current flow , 2010, NeuroImage.

[92]  Rosalind J. Sadleir,et al.  Transcranial direct current stimulation (tDCS) in a realistic head model , 2010, NeuroImage.

[93]  Alon Amir,et al.  Three-Dimensional Distribution of the Electric Field Induced in the Brain by Transcranial Magnetic Stimulation Using Figure-8 and Deep H-Coils , 2007, Journal of clinical neurophysiology : official publication of the American Electroencephalographic Society.

[94]  B. Day,et al.  Electric and magnetic stimulation of human motor cortex: surface EMG and single motor unit responses. , 1989, The Journal of physiology.

[95]  P S Tofts,et al.  The distribution of induced currents in magnetic stimulation of the nervous system. , 1990, Physics in medicine and biology.

[96]  Markus Zahn,et al.  Transcranial direct current stimulation: A computer-based human model study , 2007, NeuroImage.

[97]  D. Popović,et al.  A novel electric design for electromagnetic stimulation-the Slinky coil , 1995, IEEE Transactions on Biomedical Engineering.

[98]  Tatsuma Yamamoto,et al.  Dielectric constant and resistivity of epidermal stratum corneum , 1976, Medical and biological engineering.

[99]  C. Nicholson,et al.  Theory of current source-density analysis and determination of conductivity tensor for anuran cerebellum. , 1975, Journal of neurophysiology.

[100]  Thom F. Oostendorp,et al.  The conductivity of the human skull: results of in vivo and in vitro measurements , 2000, IEEE Transactions on Biomedical Engineering.

[101]  S. R. Smith,et al.  Dielectric properties of low-water-content tissues , 1985 .

[102]  M.A. Stuchly,et al.  Neural stimulation with magnetic fields: analysis of induced electric fields , 1992, IEEE Transactions on Biomedical Engineering.

[103]  Alexander Opitz,et al.  Impact of the gyral geometry on the electric field induced by transcranial magnetic stimulation , 2011, NeuroImage.

[104]  M. Hallett,et al.  What does the ratio of injected current to electrode area tell us about current density in the brain during tDCS? , 2009, Clinical Neurophysiology.

[105]  Chang-Hwan Im,et al.  Determination of optimal electrode positions for transcranial direct current stimulation (tDCS) , 2008, Physics in medicine and biology.

[106]  R. W. Lau,et al.  The dielectric properties of biological tissues: III. Parametric models for the dielectric spectrum of tissues. , 1996, Physics in medicine and biology.

[107]  S. Rush,et al.  Resistivity of Body Tissues at Low Frequencies , 1963, Circulation research.

[108]  W. Paulus.  Transcranial electrical stimulation (tES – tDCS; tRNS, tACS) methods , 2011, Neuropsychological rehabilitation.

[109]  Jacques Felblinger,et al.  Automated cortical projection of EEG sensors: Anatomical correlation via the international 10–10 system , 2009, NeuroImage.

[110]  Jens Haueisen,et al.  Influence of anisotropic electrical conductivity in white matter tissue on the EEG/MEG forward and inverse solution. A high-resolution whole head simulation study , 2010, NeuroImage.

[111]  R. J. Ilmoniemi,et al.  Focusing and targeting of magnetic brain stimulation using multiple coils , 1998, Medical and Biological Engineering and Computing.

[112]  L. G. Cohen,et al.  A theoretical comparison of electric and magnetic stimulation of the brain , 1991, Annals of Biomedical Engineering.

[113]  D M Durand,et al.  Influence of pulse sequence, polarity and amplitude on magnetic stimulation of human and porcine peripheral nerve , 1998, The Journal of physiology.

[114]  D. A. Driscoll,et al.  Current Distribution in the Brain From Surface Electrodes , 1968, Anesthesia and analgesia.

[115]  J. Born,et al.  Boosting slow oscillations during sleep potentiates memory , 2006, Nature.

[116]  Francis A. Duck,et al.  Physical properties of tissue : a comprehensive reference book , 1990 .

[117]  A. van Harreveld,et al.  Specific impedance of rabbit's cortical tissue. , 1963, The American journal of physiology.

[118]  Markus Zahn,et al.  Three-dimensional head model Simulation of transcranial magnetic stimulation , 2004, IEEE Transactions on Biomedical Engineering.

[119]  H. Jasper.  Report of the committee on methods of clinical examination in electroencephalography , 1958 .

[120]  Ming Chen,et al.  A structurally detailed finite element human head model for simulation of transcranial magnetic stimulation , 2009, Journal of Neuroscience Methods.

[121]  D. Reato,et al.  Gyri-precise head model of transcranial direct current stimulation: Improved spatial focality using a ring electrode versus conventional rectangular pad , 2009, Brain Stimulation.

[122]  Solomon R. Eisenberg,et al.  A three-dimensional finite element method for computing magnetically induced currents in tissues , 1994 .

[123]  J. G. Webster,et al.  Impedance of Skeletal Muscle from 1 Hz to 1 MHz , 1984, IEEE Transactions on Biomedical Engineering.

[124]  V. Walsh,et al.  Diffusion tensor MRI-based estimation of the influence of brain tissue anisotropy on the effects of transcranial magnetic stimulation , 2007, NeuroImage.

[125]  M. Erb,et al.  The influence of current direction on phosphene thresholds evoked by transcranial magnetic stimulation , 2001, Clinical Neurophysiology.

[126]  B. Meyer,et al.  Influence of pulse configuration and direction of coil current on excitatory effects of magnetic motor cortex and nerve stimulation , 2000, Clinical Neurophysiology.

[127]  William W. McDonald,et al.  Efficacy and Safety of Transcranial Magnetic Stimulation in the Acute Treatment of Major Depression: A Multisite Randomized Controlled Trial , 2007, Biological Psychiatry.

[128]  N. Logothetis,et al.  In Vivo Measurement of Cortical Impedance Spectrum in Monkeys: Implications for Signal Propagation , 2007, Neuron.

[129]  H. Topka,et al.  Motor thresholds in humans: a transcranial magnetic stimulation study comparing different pulse waveforms, current directions and stimulator types , 2001, Clinical Neurophysiology.

[130]  L. Cohen,et al.  Transcranial direct current stimulation: State of the art 2008 , 2008, Brain Stimulation.

[131]  Kent Davey,et al.  Magnetic stimulation coil and circuit design , 2000, IEEE Transactions on Biomedical Engineering.

[132]  W. R. Smythe.  Static and Dynamic Electricity , 1989 .

[133]  C. Herrmann,et al.  Transcranial Alternating Current Stimulation Enhances Individual Alpha Activity in Human EEG , 2010, PloS one.

[134]  Mark M. Stecker,et al.  Transcranial electric stimulation of motor pathways: a theoretical analysis , 2005, Comput. Biol. Medicine.

[135]  Tatsuma Yamamoto,et al.  Electrical properties of the epidermal stratum corneum , 2006, Medical and biological engineering.

[136]  Dominique M. Durand,et al.  Toroidal coil models for transcutaneous magnetic simulation of nerves , 2001, IEEE Transactions on Biomedical Engineering.

[137]  John H. Busser,et al.  Principles of Applied Biomedical Instrumentation , 1968 .

[138]  M. Nitsche,et al.  Shaping the effects of transcranial direct current stimulation of the human motor cortex. , 2007, Journal of neurophysiology.

[139]  D. B. Heppner,et al.  Considerations of quasi-stationarity in electrophysiological systems. , 1967, The Bulletin of mathematical biophysics.

[140]  M. Bikson,et al.  Transcranial current stimulation focality using disc and ring electrode configurations: FEM analysis , 2008, Journal of neural engineering.

[141]  F. Duck.  Physical properties of tissue , 1990 .

[142]  Pierre N. Robillard,et al.  Specific-impedance measurements of brain tissues , 1977, Medical and Biological Engineering and Computing.

[143]  L. Geddes,et al.  The specific resistance of biological material—A compendium of data for the biomedical engineer and physiologist , 1967, Medical and biological engineering.

[144]  M. Nitsche,et al.  Excitability changes induced in the human motor cortex by weak transcranial direct current stimulation , 2000, The Journal of physiology.

[145]  Abraham Zangen,et al.  A randomized controlled feasibility and safety study of deep transcranial magnetic stimulation , 2007, Clinical Neurophysiology.

[146]  Gabriella Tognola,et al.  Magnetic stimulation of the nervous system: Induced electric field in unbounded, semi-infinite, spherical, and cylindrical media , 1996, Annals of Biomedical Engineering.

[147]  V. Walsh,et al.  State-dependency in brain stimulation studies of perception and cognition , 2008, Trends in Cognitive Sciences.

[148]  K P Zimmermann,et al.  "Slinky" coils for neuromagnetic stimulation. , 1996, Electroencephalography and clinical neurophysiology.

[149]  F. X. Bostick,et al.  Potential and current density distributions of cranial electrotherapy stimulation (CES) in a four-concentric-spheres model , 1996, IEEE Transactions on Biomedical Engineering.

[150]  P. Ravazzani,et al.  An analytical model to predict the electric field and excitation zones due to magnetic stimulation of peripheral nerves , 1995, IEEE Transactions on Biomedical Engineering.

[151]  M Hallett,et al.  A theoretical calculation of the electric field induced in the cortex during magnetic stimulation. , 1991, Electroencephalography and clinical neurophysiology.