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3 Cellular and Network Effects of Transcranial Direct Current StimulationInsights from Animal Models and Brain Slice
Marom Bikson, Davide Reato, and Asif Rahman
Contents
3.1 MeaningfulAnimalStudiesoftDCSand theQuasi-UniformAssumption.... 563.1.1 ClassificationofAnimalStudies........................................................ 563.1.2 tDCSDoseinHumanandAnimals,andtheQuasi-Uniform
Assumption........................................................................................ 583.1.3 StimulatorandElectrodeTechniques,andNomenclature................. 613.1.4 DoseControlandMeaningfulAnimalStudies..................................643.1.5 OutcomeMeasures.............................................................................65
3.2 SomaticDoctrineandNeedforAmplification...............................................653.2.1 NeuronalPolarization.........................................................................663.2.2 ModulationofExcitability,Polarity-SpecificEffects.........................663.2.3 QuantifyingPolarizationwithCouplingConstants........................... 673.2.4 AmplificationthroughRateandTiming............................................693.2.5 SeizureThresholdandModulation.................................................... 713.2.6 LimitationsoftheSomaticDoctrine.................................................. 71
3.3 Plasticity,SynapticProcessing,anda“TerminalDoctrine”.......................... 733.3.1 ParadigmsforDCModulationofSynapticEfficacy.......................... 733.3.2 RelationwithTetanicStimulationInducedLTP/LTD........................ 753.3.3 WhichCompartmentsareInfluencedbyDCStimulation:Soma
andDendrites...................................................................................... 773.3.4 WhichCompartmentsAreInfluencedbyDCStimulation:
SynapticTerminals............................................................................. 78
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56 Transcranial Brain Stimulation
Thischapteraddressesthecontributionofanimalresearchondirectcurrent(DC)stimulation to current understanding of transcranial direct current stimulation(tDCS)mechanismsandprospects andpitfalls forongoing translational research.Thoughweattempttoputinperspectivekeyexperimentsinanimalsfromthe1960stothepresent,ourgoalisnotanexhaustivecatalogingofrelevantanimalstudies,butrathertoputtheminthecontextofongoingefforttoimprovetDCS.Similarly,thoughwepointoutessentialfeaturesofmeaningfulanimalstudies,wereferreaderstooriginalworkformethodologicaldetails.ThoughtDCSproducesspecificclinicalneurophysiologicalchangesandistherapeuticallypromising,fundamentalquestionsremainaboutthemechanismsoftDCSandontheoptimizationofdose.Asaresult,amajorityofclinicalstudiesusingtDCSemployasimplisticdosestrategywhere“excitability” is increasedordecreasedunder theanodeandcathoderespectively.Wediscusshowthisstrategy,itselfbasedonclassicanimalstudies,maynotaccountforthecomplexityofnormalandpathologicalbrainfunction,andhowrecentstudieshavealreadyindicatedmoresophisticatedapproaches.
3.1 Meaningful aniMal studies of tdCs and the Quasi-uniforM assuMption
ThemotivationforanimalresearchoftDCSisevidentandsimilartoothertransla-tionalmedicalresearchefforts:toallowrapidandrisk-freescreeningofstimulationprotocolsandtoaddressthemechanismsoftDCSwiththeultimategoalofinformingclinicaltDCSefficacyandsafety.TohaveameaningfulrelevancetoclinicaltDCS,animalstudiesmustbedesignedwithconsiderationof:(1)conductinganimalstudiesbycorrectlyemulatingthedeliveryofDCstimulationtothebrain;and(2)measuringresponsesthatcanbeusedtodrawclinicallyrelevantinferences.Beforereviewingthemain insightsdrawnfromanimal studies,weoutline thebasisandpitfallsoftranslationalanimalresearchontDCS.
3.1.1 ClassifiCation of animal studies
Thescopeofthisreviewincludesanyanimalstudyexploringthebehavioral,neu-rophysiological, or molecular response of the brain to DC currents; with a focusonmacro-electrodes,relativelylowintensitystimulation,andsustained(secondstominutes) rather than pulsed (millisecond or less) waveforms. Animal studies canbebroadlyclassifiedbythepreparationandrelatedmethodofstimulation,namely
3.4 NetworkEffects..............................................................................................803.4.1 FurtherAmplificationatthroughActiveNetworks............................803.4.2 Oscillations......................................................................................... 81
3.5 InterneuronsandNon-NeuronalEffects......................................................... 823.5.1 Interneurons........................................................................................ 823.5.2 Glia..................................................................................................... 833.5.3 EndothelialCells................................................................................. 83
3.6 Summaryanda3-TierApproach...................................................................84References................................................................................................................85
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57Cellular and Network Effects of Transcranial Direct Current Stimulation
wheretheelectrodesareplaced,as:(1)transcranialstimulationinanimals;(2)intra-cranialstimulationinvivoincludingwithoneelectrodeonthecortex(3)stimulationoftissueinvitro,includingbrainslices.
1.ModernanimalstudiesontDCSusetranscranialstimulationwithaskullscrew or skull mounted cup (Liebetanz et al. 2006; Cambiaghi et al.2010; Yoon et al. 2012)—advantages of transcranial stimulation includepreventing electrochemical products from the electrodes from reachingthe brain (which would confound any results). If the screw penetratescompletely through theskull,stimulation isno longer in the transcranialcategory(seenext).Rodentsaretypicallyused.Areturnelectrodeonthebody, mounted in a “jacket” is typically used for “unipolar stimulation”(whichisbroadlyanalogoustoahumantDCSextracephalicelectrode).Inarabbitstudyfoursilverballelectrodesformedasinglevirtualelectrodeoverthetarget(Marquez-Ruizetal.2012).Alternatively,twocranialelectrodesproduce bipolar stimulation (Ozen et al. 2010). Since the cranium is notpenetrated,theeffectsofDCstimulationareprobedthroughbehavior,non-invasive recording (electroencephalogram, EEG), non-invasive electricalinterrogation (e.g., transcranial magnetic stimulation, TMS; transcranialelectrical stimulation, TES), or histology after sacrifice. In some olderstudies, transcranial DC stimulation was also applied in larger animals(monkeys) (Toleikis et al. 1974) but should be interpreted with cautionwhen the skull was penetrated for recording electrodes (which distortscurrent flow) (Datta et al. 2010) or when recording between electrodeswithout control for cortical folding (leading to variation in current flowdirectionthroughcorticalgyrationsandinconsistenteffects).Replacementof removed skull with insulating filler (e.g., dental cement) may correctshuntingthroughthehole(Marquez-Ruizetal.2012).
2.Classicanimalstudiestypicallyusedanelectrodeonthebrain(Creutzfeldtetal.1962;Bindmanetal.1964),wheretheintracranialelectrodewascov-eredinsomethinglikeacottonwick(Redfearnetal.1964)tobufferelec-trochemicalchanges.Catsandmonkeysweretypicallyused.Notethattheprotectionoftheskinfromelectrochemicalproductattheelectrodeiswhysaline-soakedsponges(orgel)areusedintDCS(Minhasetal.2010)—andthoughimproperset-upcanresultinskinirritation,theseproductscannotreachthebrainandsoarenotpartoftDCSmechanisms.Whenanelectrodeisplacedinsidethecranium(ontheanimalbrain)thenpotentialinterfer-encefromelectrochemicalchangesattheelectrodesdiffusingintothebraincannotbeautomaticallyignored.Theseelectrochemicalproductscanevenbepolarityspecific(Merrilletal.2005)andproducereversiblechanges,butstillhavenorelevancetotDCS.Stepstoreduceinterferenceincludeusingsuitableelectrode(e.g.,Ag/AgCl)andwrappingtheelectrodeincottontobufferchemicalchanges;protocolsthatwhererationallyusedinmanystud-ies.PassageofprolongedDCcurrentthroughapoorlyselectedelectrodematerial (e.g., screw) is expected to produce significant electrochemicalchanges near the metal. It is generally assumed with cortical electrodes
AQ1
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58 Transcranial Brain Stimulation
thatcurrentflowthroughnearbycortexwillbeunidirectional(inwardforanode,outwardforcathode;seeconventionsbelow);however,thepresenceofCSF inconvolutedgyri (especially in largeranimals)willdistortcur-rentflowpatternsandcanproducelocaldirectioninversions(Creutzfeldtet al.1962).Despitetheseconcerns,therationaleforinvasivestimulationinclassicalanimalstudiesmaysimplybethatthecraniummustbeexposedregardlesstofacilitateinsertionofrecordingelectrodes,andamajorityofthesestudieswereinterestedinthegeneraleffectsofDCcurrentonbrainfunctionandnotnecessarilyclinicaltranscranialDCS.
3.TheuseofbrainslicestostudytheeffectsofweakDCstimulationdatestoworkbyJohnG.R.Jefferysin1981(Jefferys1981;NitscheandPaulus2000;Ardolinoetal.2005),withexperimentaltechniquesusedtothepresentdayestablishedbyBruceGluckmanandStevenSchiff(Gluckmanetal.1996)and adapted by Dominique Durand and our group (Durand and Bikson2001).Therationaleforusingabrainslice(usuallyrodentsandferrets)istheabilitytoprobebrainfunctionindetailusingarangeofelectrophysi-ological,pharmacological,molecular,andimagingtechniques.Inisolatedtissue,thedirectionofcurrentflowisalsoknownandpreciselycontrolled.Lopez-Quinteroetal.(2010)describedtechniquesforstimulatingculturedmonolayers.InaseminalseriesofpapersChanandNicholsonusedisolatedturtlecerebellum(ChanandNicholson1986;Chanetal.1988).ForinvitroDCstimulationstudies,electrodesareplacedinthebathatsomedistancefromthetissuetobufferelectrochemicalchanges.Asemphasizedbelow,tDCSdeliverselectricalcurrentnotchemicalstothebrain.
3.1.2 tdCs dose in Human and animals, and tHe Quasi-uniform assumption
Theclinical“dose”of tDCShasbeendefinedas thoseaspectsofstimulation thatareexternallycontrolledbytheoperator(Biksonetal.2008;Peterchevetal.2011),namelyelectrodemontage(shape,location,etc.)andthespecificsoftheDCwaveform(duration,intensityinmAapplied,ramp,etc.).Asexplainednext,itwouldbefunda-mentallymisguidedtosimplyreplicatethesedoseparametersinanimalstudies.tDCSproducesacomplexpatternofcurrentflowacrossthebrain,whichresultsindose-specificelectricfield(currentdensity)thatvariessignificantlyacrossbrainregions.Thisbrainelectric-fielddistributionrepresentsanddeterminestheelectricalactionsof tDCS. The brain electric field is not a simple function of any dose parameter,forexample thecurrentdensityat theelectrodes (totalcurrent/area)doesnotmapsimplytopeakbrainelectricfield(Mirandaetal.2007).Therearefortunatelywell-establishedmethods topredict theelectricfieldgenerated in thebrainusingcom-putationalmodels(Mirandaetal.2006;Dattaetal.2009);thoughmethodologicalapproaches across groups vary those modeling studies using realistic anatomyhaveconvergedthatthepeakelectricalfieldgeneratedduringtDCSis0.2–0.5V/m(0.05–0.14A/m2currentdensity)fora1mAintensity(Mirandaetal.2006;Dattaetal.2009;Sadleiretal.2010).The electricfieldwouldscalelinearlywithcurrentinten-sitysuchthat2mAwouldproduceupto0.4–1V/m(0.1–0.28A/m2currentdensity).
AQ2
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59Cellular and Network Effects of Transcranial Direct Current Stimulation
These peaksrepresentspecifichot-spots.UsingconventionaltDCSmontagesweakerelectricfields aregenerated acrossmuchof thebrain. In addition,due to subject-specific idiosyncratic cortical folding, the electric field is “clustered” (Datta et al.2009),withmanylocalmaxima(Figure3.1).Thereisthusnosingleelectricfieldgen-eratedinthebrainduringtDCSbutratherarangeofdistributedelectricfieldsacrossthebrain.Thequestionthereforeis:giventhiscomplexityofelectricfielddistributionacrossbrainstructures,whatshould(andcan)bemimickedinanimalmodels?ItisimportanttoemphasizethatsimplymimickingtDCSclinicaldoseinanimalmodels,oradjustingdoseguidelinesbyanarbitraryruleofthumb(e.g.,byheadvolume),maynotbeprudent.
One solution (whichwe termanaspectof the“quasi-uniform”assumption) is toconsideronlythepeakelectricfieldgeneratedinthebrain,oronlytheelectricfieldinonebrainregionofinterest,andthentoreplicatetheelectricfieldacrossanareaoftheanimalbrainortheentireanimalbrain/tissue.(ItisimpracticaltoreplicatetheelectricfieldinducedineachbrainregionduringtDCSinallcorrespondingbrainregioninananimalmodel.)Asitturnsout,becauseofpracticalconsideration,thequasi-uniformassumption is already adopted implicitly in most animal research of tDCS. ThisapproachispartlysupportedbyelectricfieldsgeneratedduringtDCSbeinglargelyuni-formacrossanyspecificcorticalcolumn(neuronaldendritictree)ofinterest(Figure3.1,inset)—henceonecanspeakofasingleelectricfieldinreferencetoaregionofinterest.
Finite-element model (FEM)Electric field magnitude
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figure 3.1 Thequasi-uniformassumptionisimplicitinthemajorityofmodelingandani-malstudiesoftDCS.Thefirstaspectofthequasi-uniformassumptionisbasedontheelectricfieldgeneratedinthebraintonotsignificantlychange(beuniform)onthescaleofasinglecorticalcolumnorneuronaldendritictree.Onlyinthiswayitismeaningfultorepresent,forafirstapproximation,neuromodulationbyregionalelectricfield.Thisassumptionunderpinstherationalbasisforreplicatinganelectricfieldofinterestinananimalmodelasdescribedinthetext.Shownisahigh-resolutionfiniteelementmodel(FEM)computationalmodelofcurrentflowthroughtheheadwithoverlaidneuronalmorphology.
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60 Transcranial Brain Stimulation
However, it isworthwhiletopointout thatconsideringthepeakof theelectricfield(eitheracrossthewholebrainorinasub-region)asbasisforthefieldampli-tudemaybemisleading.Thefieldamplitudecanchangebyordersofmagnitudesindifferentbrainareasanddramaticallyevenacrosslocalgyri(Dattaetal.2009).Theaverage (ormedian)valueof theelectricfieldcanbeup to10 times smallerthanthefieldpeak(dependingonlocalgeometryandconductivityproperties).Also,sinceusuallytheelectricfieldsusedinanimalexperimentsarebasedonestimationsfromhumans(usingfiniteelementmodels),itisalsonecessarytoconsiderhowthecouplingconstantbetweenneuronalpolarizationandelectricfieldappliedcanvaryacross species (see next). For that reason, while the average electric field can besmallerthanthepeakvalue,thepolarizationofneuronsinhumanscouldbehigher,assumingahighercouplingconstantinhumans(seenext).
Generally,onceaclinical(quasi-uniform)tDCSelectricfieldthatistoberepli-catedinananimalmodelisdecided,threeapproacheshavebeentakeninrationalexperimental design. These three approaches typically relate to: (1) Transcranialstimulation in animal; (2) Invasive stimulation of animals with intracranial elec-trodes;(3)Stimulationoftissue/brainsliceswithbathelectrodes.Ineachcase,thequasi-uniformassumptionisre-appliedinthegenerationandcontrolofa(quasi)uni-formelectricfieldinatargetedregionoftheanimalbrainoracrossisolatedtissue.
1. Inthefirstcaseoftranscranialstimulationofanimal,thesamemodelingapproaches that predict electric fields during clinical tDCS can be usedtomodelandguidestimulationdesign(Gascaetal.2010).Asthecaseinclinical tDCS, in DC transcranial stimulation in animals it is importanttoconsiderhowthepositionofthe“return/reference”electrodeinfluencescurrentflowevenunderthe“active”electrode(Biksonetal.2010;Brunonietal.2011).Asanatomicallypreciseanimalmodelsareunderdevelopment,concentricspheremodels(simplyscaledtosize)canbeusedtodetermineelectricfieldintensitygeneratedintheanimalbrain(Marquez-Ruizetal.2012);freetoolavailablethroughneuralengr.com/BONSAI).Intheabsenceofanspecificmodelingofcurrentflowinanimal,andincaseswheretheelectrodeisplaceddirectlyontheskull,onecan,toafirstapproximation,assume a maximum potential brain current density equal to the averageelectrodecurrentdensity(totalcurrent/electrodearea;(Biksonetal.2009).However, it is important to recognize that the direction (inward or out-ward)of the electricfieldsgenerated across thebrain, including indeepbrainstructures(particularlyinhigheranimalswithincreasingconvolutedcortex) may also vary (as it does in human tDCS). The electric field inaregionofinterestmayalsobemeasuredwithinvasiveelectrodes(Ozenet al.2010),recognizingitisnotuniformthroughouttheanimalbrain,andtheinsertionandpresenceofelectrodesmayitselfdistortcurrentflow.
2. Inthesecondcase,foranimalstudieswithanelectrodeplacedonthebrainsurface,onemightagainassumethatthe(quasi-uniform)currentdensityinthebraindirectlyundertheelectrodesequalsthataveragecurrentdensityat theelectrode(totalcurrent/electrodearea).Aswithscalpelectrodes intDCS,whenaspongeofcottonwrapperisused,itscontactareasshouldbe
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61Cellular and Network Effects of Transcranial Direct Current Stimulation
usedincalculations.Butdependingontheelectrodedesign,currentdensitymay in factbe (ordersofmagnitude)higheratelectrodeedges (Mirandaetal.2006;Minhasetal.2011)—anissueaggravatedforsmallelectrodeswhereelectricfieldnearamonopolarsourcecanbeveryhighleadingtofurtherpotentialcomplications(seediscussioninBindmanetal.1964).Aswithtranscranialstimulation,currentspreadthroughoutthebrainshouldbeassumedwithanyreturnoutsidethehead(Islametal.1995).
3. In the third approach, including in vitro brain slice studies, the task issimplified because using long parallel wires (or plates) placed in a bathacrosstheentire tissue—withpropercare, thisgeneratesauniformelec-tric field across the entire tissue (a truly uniform electric field) that canbereadilycalibratedtomatchtDCSlevels(Gluckmanetal.1996;Franciset al.2003;Biksonetal.2004).Typically,theplacementoftheelectrodesinthebath,awayfromthetissueofinterest,protectsfromelectrochemicalproducts.Thesimplicityandversatilityofthistechniques,makescontrolofDCparametersinslicestraightforwardandallowsanalysisoffunctionindetailnotpossiblewithothertechniques(seenext).Itisinterestingthatthe generation of uniform fields across an entire brain region can makethemost invasive invitroapproachesanalogous to regionalelectricfieldinducedbytDCS.
In each of the aforementioned cases the quasi-uniform assumption applies by(1)assumingauniformelectricfield ina regionof interestduring tDCSthat isafunctionofscalpelectrodepositionandappliedcurrent(Figure3.1)thoughrecog-nizingthattheelectricfieldvariesacrossthebrain;and(2)positioningelectrodesandselectingcurrent in translational research that replicate thiselectricfield inaspecificregionoftheanimalbrain(recognizingthatelectricfieldwillvaryacrosstheentireanimalbrain)oracrossabrainsliceinvitro(recognizingthattheentirebrainslicewillbeexposedtoasingleelectricfield;Figure3.2).
3.1.3 stimulator and eleCtrode teCHniQues, and nomenClature
Ona technicalnote,ouropinionis thatforreproducibilityandprecisioncurrent-controlledstimulationshouldbeusedinanimalstudies.Indeed,forthesamereasontDCSwith current-controlled stimulation is used in almost all translational stud-iesofDCstimulation.Theelectrode-solutioninterfacerepresentsanunknownandchanging impedance in serieswith the stimulator (Merrill et al. 2005). It iswellestablishedthatcurrent-controlguaranteesconsistentstimulationoftissuethroughthisinterface;theelectricfieldinthebraintrackstheappliedcurrentandcanbesim-plyscaledtomatchclinicalelectricfieldvalues.Usingvoltagecontrol,especiallyduringDCstimulation,may result inanunknownvariable, and indeedchanging(notDC)electricfield.Ifvoltagecontrolisused,theelectricfieldgeneratedinthetissueduring theentirecourseof stimulationshouldbemonitored.Simplyusingcurrentcontroldoesnotcanceltheimportanceofconsidering(1)electrodesizeandposition,whichdeterminesbraincurrentflowpattern;and(2)electrodematerialanduseofanybufferwhichdetermineelectrochemicalchanges.Moreover,thetwocan
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62 Transcranial Brain Stimulation
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63Cellular and Network Effects of Transcranial Direct Current Stimulation
beinterrelatedaselectrodedegradationwillmakeaportionoftheelectrodeinac-tive causing current re-distribution, while increasing electrode size (in particularelectrodecontactarea)reduceselectrochemicalburden.Wecaution:asmorediverseresearchgroupsapplyincreasinglysophisticatedtechniquestoanalyzetheeffectsofDCstimulationtounderstandthemechanismsoftDCS,itissimultaneouslynec-essarytoapplyrigor in themethodsusedtodeliverystimulationforeachanimalmodel.Ataminimum,the“dose”ofstimulationneedstobereportedinamannerthatallowsreproductionconsistentwithclinicalrulesofdosereportingandcontrol(Peterchevetal.2011).
Somecommentsonconventionsusedtoindicatethepolarityofstimulationmaybeuseful.Firstly, inbrain electrical stimulationanode andcathode terminologyshouldalwaysbeusedconsistentlyforindicatingtheelectrodewherepositivecur-rentisenteringthebody(anode)andtheelectrodewherepositivecurrentisexitingthebody(cathode)—thereisnobasistoconfusethesetermsinelectricalstimulationliterature(Merrilletal.2005).ForconventionaltDCSwithtwoelectrodes,thereissimplyoneanodeandonecathode,withtheanodeatapositivevoltagerelativetothecathode.Inclinicalandanimalstudies,anodal stimulationorcathodal stim-ulationwouldindicatethatacorticalregionofinterest(target)wasnearertheanodeorthecathode,respectively.Inearlieranimalliteraturethetermssurface positiveand surface negative, correspond to an anode or cathode, respectively, electrodeplacedthesurfaceofthecortex,withtheotherelectrodeoftenplacedontheneckorbody.Consideringthecorticalsurface,inward currentandoutward currentaretypicallyexpectedundertheanodeandcathoderespectively(thoughcorticalanat-omymayproducedeviations).Whendiscussingelectric field,thedirectionneedstobespecified.InourFEMstudiesweusetheconventionthataninwardcurrentwillproduceapositiveelectricfieldmeasured fromoutsidepointed in,while anout-wardcurrentwillproduceanegativeelectricfieldmeasuredfromoutsidepointedin(Dattaetal.2008)(unlessotherwisestated,itisimpliedthatthecurrentandelectricfieldsarenormal/orthogonaltothecorticalsurface,ratherthantangential/parallel).Current densitywillalwaysbeinthesamepolarity/directionastheelectricfield,forexamplecurrentdensityflowispositiveinward(intothecortex)undertheanode.Intissue/brainslices,thoughthetermsanodeandcathoderemainunambiguousinregardstotheelectrodes,theelectricfieldreferencedirectionisarbitraryandneedstobedefined.InourstudieswhereuniformDCstimulationisappliedtocorticalslices,wealwaysdefinetheelectricfieldaspositivewhentheanodeisonthepiasurfacesideof thesliceand thecathodeon themidbrainside—whileanegativeelectric field indicates the cathode on the pia side (Radman et al. 2009). In thiswayapositiveelectricfieldindicatesstimulationpolarity(direction)associatedwithclinicalanodal tDCS,whilenegativeelectricfield indicatesapolarityassociatedwithcathodal tDCS.Typically, inhippocampalslicestudiesusingparallelwires,apositiveelectricfieldindicates theanodeonthealveussideofCA1(Gluckmanet al.1996;Ghaietal.2000;Biksonetal.2004;Ranierietal.2012).Finally,thetermpolarizing,orpolarizingcurrent,isusedinclassicanimalliteratureandmod-erntDCS,andappearstorefertotheuseofprolonged(notpulsed)DCstimulationappliedwithmacro-electrodes,withthepolarizationrelatedtotheelectrodes,brain,and/orneurons.
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64 Transcranial Brain Stimulation
3.1.4 dose Control and meaningful animal studies
WeemphasizecautionwhendrawingconclusionsfromstudiesusinganyDCcur-rentsinanimalsthatdonotproduceselectricfieldmagnitudescomparabletothosegeneratedduringtDCS.ThesestudiesarevaluableinsuggestingmechanismsfortDCSbut,justaswithdrugs,increasingdosebeyondclinicallevels(byordersofmagnitude)caninducephysiologicalchangesnotrelevantclinically.Forexample,someanimalstudieshaveshownthatapplicationofDCcancontrolneuronalprocessorientationandgrowthdirection(Alexanderetal.2006;Lietal.2008);however,boththeintensityanddurationofelectricfieldswereordersofmagnitudegreaterthantDCS.Similarly,electroporationandjouleheatingcanbecausedbyelectric-ityingeneral,butdonotseemrelevantforclinicaltDCSelectricfields(Biksonetal.2009;Datta et al.2009;Liebetanzet al.2009).Thus, thesemechanismsandrelated animal studies are not considered further here. Additional theories havebeenventuredregardingtheroleofconcentrationchangesinducedbyDCcurrent(e.g.,iontophoresisofchargedmolecules/ions)(Gardner-Medwin1983),andthoughintriguing,toourknowledgenoquantitativeanalysisofplausibility,andmuchlessexperimentalevidence,existsfor tDCSrelevantelectricfields.Speculativedirectelectrochemicalchangesinthebrainshouldnotbeconfusedwith:(1)establishedelectrochemical reactions that occur at the electrode interface, which would notreachthebrainusingscalpelectrodes(Merrilletal.2005;Minhasetal.2010);(2)indirectchemicalandmolecularchangessecondarytoneuronalactivation(StaggandNitsche2011).Wealsocautionagainstany theories thatsuggestviolationofelectroneutrality during DC stimulation (e.g., “accumulation” of positive chargenearthecathode).Rather,asexplainedinthenextsection,ourmechanisticconsid-erationsstartwiththewell-establishedprincipleofmembranepolarizationinducedbyextracellularDCcurrentflow,withallotherchangessecondarytothispolariza-tion.Interestingly,inthiscontext,thecouplingsensitivityforhumanneuronsmaybehigherthananimals.
ThoughimportanttoourunderstandingoftDCSmechanism,mostanimalworkonDCstimulationinthe1960susedcurrentdensitieswithinvasiveelectrodeshigherthanusedintDCSatthescalp(mostofthesestudiesdidnotintendtomimictDCS).RecentanimalstudiesoftenusedtranscranialDCstimulationwithcurrentdensityat the skull higher than used in tDCS at electrodes (Fregni et al. 2007; Brunonietal.2011).Perhapsalsomotivatedbymagnifyingeffectsize(andnotnecessarilymotivatedonlybytDCS)manyrecentinvitrostudies,includingthosebyourowngroup, used electric fields higher than those generated clinically (Andreasen andNedergaard1996;Biksonetal.2004).Becauseofthecomplexity(nonlinearity)ofthenervoussystemfunctiononecannotautomaticallyassumeamonotonic (morefield=moreresponse)relationshipbetweenintensityandoutcome;however,invitrostudies that explore field strength-response curves indicate a surprisingly linearresponsecurveoverlowintensities(Biksonetal.2004;Reatoetal.2010),andmem-branecouplingconstantcertainlyappearslinearwithfieldstrength(seenext).Thoseinvitrostudiesthathaveexplicitlyexploredthelowerelectricfieldlimitofsensitivitytofields(seeSection3.4;Francisetal.2003;Jefferysetal.2003;Reatoetal.2010)reportstatisticallysignificantresponsesat<0.2V/m,withintDCSranges.
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OneexampleofhowtheuseofhighDCcurrentintensitiescanproduceeffectsoppositethanexpectedatDCrelevantintensitiesisnoted.Asdiscussedlater,inapolarity-specificmanner,DCfieldscanincreaseexcitabilityandevokedresponses(synapticefficacy).But if the intensityofDCcurrent is increased significantly, itmay increase excitability to the point that the neuron generates (high frequency)discharges—theresponsivenessoftheveryactiveneurontoanevokedresponsemaythendecreasebecauseitisofteninarefractorystate.Thiswasshowninbrainslice(Bikson et al. 2004) and may explain results in animal (Purpura and McMurtry1965)usinghighDCcurrentintensities.
3.1.5 outCome measures
Thesecondissuetoconsiderinthedesignoftranslationalstudiesistheappropriatenessoftheoutcomemeasureinanimalmodels,whichisnotspecifictotDCSandwillnotbediscussedindetailhere.InconsideringtheuseoftDCSinclinicaltreatment,ani-malmodelsofdiseasecanbeused,not simply tovalidateoutcomes,but tocharac-terizemechanisms andoptimize stimulationprotocols (Sunderamet al. 2010;Yoonetal.2012).Onefactorfacilitatingquantitativetranslationalresearchis thenotewor-thyemphasisbytDCSclinicalresearchertodetermineneurophysiologicalmarkersoftDCSincludingspontaneousEEG(Marshalletal.2004;Marshalletal.2006)andTMSmotorevokedresponses(NitscheandPaulus2000),includingwhilescreeningdifferentdosageandtime-course.Thesegenericclinicalmeasuresof“excitability”haveroughanimalanaloginspontaneousfiringrate,oscillations,andevokedresponses—though“evokedresponses”oroscillationsofagivenfrequencymaynothavethesameorigininanimalsandhumans.AnimalresearchintDCShasonlystartedtoaccessthebreadthofbehavioranddiseasemodelsthatareavailable.AssummarizedbyBrunonietal.(2011)
Although pre-clinical studies, including experiments with animals, are critical indevelopingnovelhumantherapies,translationalresearchalsohasseveralchallengingaspects, as animal and human studies can differ in characteristics of disease(i.e., ‘human disease’ vs. ‘experimental animal model’), definition of outcomes(especiallyforneurologicalresearchthatoftenrelyheavilyonbehavioraloutcomes….
Having outlined potential pitfalls in translational tDCS studies, the need andvalue ofwell-designed animal research remains evident.Contributions of animalstudiestoourcurrentunderstandingoftDCSandtheirimportanceastDCSbecomesmoresophisticatedarediscussedinthenextsections.
3.2 soMatiC doCtrine and need for aMplifiCation
Since2000(NitscheandPaulus2000;Ardolinoetal.2005;Fregnietal.2005,2007),therehasbeenrapidaccelerationintheuseoftDCSinbothclinicalandcognitive-neuroscienceresearch,encouragedbythesimplicityofthetechnique(twoelectrodesandabatterypoweredstimulator)and theperception that tDCSprotocolscanbesimplydesignedbyplacingtheanodeoverthecortexto“excite,”andthecathodeovercortexto“inhibit.”Startingwiththeconsiderationofsingleneuronsandacute
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effects,inthissectionwe(1)definethissimplisticandubiquitous“somaticdoctrine”;(2)consideritsorigininclassicanimalstudies;(3)describemoderneffortstoquan-tifysomaticpolarizationusingbrainslices;thisinturnleadstoanappreciationoftheneedforamplificationmechanisms.Discussionsfocusedspecificallyonmecha-nismof lastingchanges following tDCS(e.g.,plasticity)andconsiderationofnet-workactivityareleftforthenextsections.
3.2.1 neuronal polarization
DCstimulationwithelectrodesonthescalpleadstocurrentflowacrossthebrain,whichinturn,resultsinpolarizationofcellmembraneswhensomeofthiscurrentcrossesthemembrane(Ohms’law).Flowintoaspecificcompartmentofmembranewillresultinlocalmembranehyperpolarization,andflowoutofanothercompart-mentofmembranewill result in localmembranedepolarization (AndreasenandNedergaard1996;Biksonetal.2004).Itisfundamentaltoemphasize(especiallyas this concept is overlooked in clinical literature) that there is no such thing apurely depolarizing or purely hyperpolarizing weak DC stimulation—the phys-ics of electrical stimulation dictate that any neuron exposed to extracellular DCstimulationwillhavesomecompartmentsthataredepolarizedandsomethatarehyperpolarized (Chanet al. 1988;Biksonet al. 2004).Whichcompartments arepolarizedinwhichdirectiondependsontheneuronalmorphologyrelativetotheDCelectricfield.Simplistically,forapyramidaltypeneuron,withalargeapicaldendritepointed toward thecortical surface,a surfaceanode (positiveelectrode,generatingacorticalinwardcurrentflow)willresultinsomatic(andbasaldendrite)depolarizationandapicaldendritehyperpolarization(Radmanetal.2009).Forthissame neuron, a surface cathode (negative electrode, generating cortical outwardcurrentflow)willresultinsomatic(andbasaldendrite)hyperpolarizationandapi-caldendritedepolarization.tDCSprotocolsbasedonthe“somaticdoctrine”simplyassume that somatic polarization determines all relevant functional/clinical out-comes.Thisconsensusofagenericexcitation/inhibitionbyanodic/cathodicstimu-lationunderpinsamajorityofclinicaltDCSstudydesign(Figure3.2a)—combinedwiththeconceptthatbrain(dis)functionisaslidingscaleofexcitabilitythatcanbecontrolledinthisfashion.
3.2.2 modulation of exCitability, polarity-speCifiC effeCts
TheapplicationofDCstimulation(oftenasshortpulses)totheneuro-muscularsys-temdatestotheoriginofbatteries(indeed,aselectricalenergysourcesmustpre-dateanyelectricaldevices,humanandanimalsmadenaturaltargets).ThereviewofthehistoryofDCstimulationiswellbeyondthescopeofthischapter,butsomehighlightshelpposition theoriginof the “somaticdoctrine.” In1870Fritsch andHitzigmayhavebeenthefirsttoshowthatapplicationofapositivecurrenttothecortexhadstimulatingeffects,whileanegativecurrentinhibits(afindingthatitselfcontributedtoearlyunderstandingthatthecortexiselectricallyexcitable)(Fritsch1870; Carlson and Devinsky 2009). Terzuolo and Bullock (1956) and Creutzfeldtet al. (1962) helped establish that ongoing discharge frequency is enhanced by
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surface-positive current and decreased by surface-negative currents (it is curioushowthedebateovertheroleofendogenouselectricfieldsisreflectedintheseearlyworksinwhichCreutzfeldtet al.suggestedtheyareepiphenomenawhileTerzuoloandBullocksuggestedaphysiologicalrole—indeedmodernworkwithweaktran-scranialstimulationhasprovidedthestrongestclinicalevidenceforaplausiblerole).Theconceptthatthresholdforelectricfieldsensitivitywouldbe“lowerformodula-tionofthefrequencyofanalreadyactiveneuronthanforexcitationofasilentone”wasthuswellestablished,withearlyobservationofchangesindischargeratewithfieldsaslowas0.8V/m(TerzuoloandBullock1956).
Note, the electricfields inducedby tDCSare considered far tooweak to trig-ger action potentials in quiescent neurons (compare >100 V/m induced by TMSto<1V/mby tDCS). It is thusnot surprising that earlyanimal studieson lower-intensityDCstimulationaddressedmodulationofongoingnormalorpathologicalneuronalfiring rate,aswellasevokedresponse. In theearly1960s,animalstud-ies by Bindman and colleagues (Bindman et al. 1962, 1964) confirmed polarity-specificchangesindischargerateandfurthershowedexcitabilitychangesthatarebothcumulativewithtimeandout-laststimulation(discussedinnextsection)—thisgroupwentontoexplorelong-durationstimulationinearlypsychiatrictreatment.Itwasalsorecognizedthatthedirectionofchangesindischargeratewereconsistentwithpresumedsomaticpolarization(anddependentontheorientationoftheapicaldendrites).Furthermore,animalstudiesinthe1950sand1960sexaminingcontrolof epilepticdischarges (Purpura et al. 1966), evoked responses (Creutzfeldt et al.1962;Bindmanetal.1964;PurpuraandMcMurtry1965),lastingeffectsandrelatedmolecularchanges(seealsonext;Gartside1968),alsoreinforcedtheconceptthatthedirectionofsomaticpolarizationdeterminedtheneteffectonexcitability/functionaloutcomes(Figure3.3).
3.2.3 Quantifying polarization witH Coupling Constants
AspecificandpredictiveunderstandingoftDCSrequiresquantitativemodel,begin-ning with quantification of somatic (and dendritic) polarization during tDCS. Inthe1980s,Chanandcolleagues(ChanandNicholson1986;Chanetal.1988)usedelectrophysiological recordings fromturtlecerebellumandanalyticalmodeling toquantify polarization under quasi-static (low-frequency sinusoid electric fields)—theseseminalstudiesidentifiedmorphologicaldeterminantsofneuronsensitivitytoappliedDCfields.WeextendedthisworktorathippocampalCA1neuronsandthentocorticalneuronswiththeapproachofquantifyingcell-specificpolarizationbyweakDCfieldsusingasinglenumber—the“couplingconstant”(alsocalledthe“couplingstrength”or“polarizationlength.”)Weassumedthatforweakelectricfields(stimu-lationintensitiestooweaktosignificantlyactivatevoltagegatedmembranechannels,andwellbelowactionpotentialthreshold)thattheresultingmembranepolarizationatanygivencompartment,includingthesoma,islinearwithstimulationintensity.Foruniformelectricfields,themembranepotentialpolarizationcanbeexpressedas:Vtm=G*EwhereVtmisthepolarizationofthecompartmentofinterest(in:V),Gisthecouplingconstant(in:VperV/m,orsimply:m)andEistheelectricfield(in:V/m)alongtheprimarydendriticaxis.Forrathippocampusandcorticalneuronsthe
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somaticcouplingconstantisintherangeof0.1–0.3mVpolarizationperV/melectricfield(Figure3.2c;Biksonetal.2004;Deansetal.2007;Radmanetal.2009).Forferretcorticalneurons thecoupling issimilarly∼0.25mVperV/m(FrohlichandMcCormick2010).Forhumans,assumingscalingofsensitivitywithtotalneuronallength(JouclaandYvert2009)somaticdepolarizationperV/mmightbehigherthaninanimals.
�e principle of “somatic doctrine” in basic tDCS montage design
Quanti�cation of somatic (and dendrite) polarization under DC �elds
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figure 3.3 The principle and quantification of the somatic doctrine. (a) The somaticdoctrinesimplifiestDCSdesignbyassuminginwardcurrentflowundertheanode,leadingtosomaticdepolarization,andagenericincreaseinexcitabilityandfunction.Underthecath-ode,anoutwardcurrentleadstosomatichyperpolarizationandagenericdecreaseinexcit-abilityandfunction.(b)Moderneffortstoquantifysomaticpolarizationinanimalmodelshaveconfirmedsomeaspectsofthesomaticdoctrine,atleastunderspecificcontrolledandtestedconditions,butindicatedthatthepolarizationproducedbytDCSwouldbesmall.
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Themaximaldepolarizationoccurswhen theelectricfield isparallelwith thesomatic-dendritic axis which corresponds to radial to the cortical surface, whileelectric field orthogonal to the somatic-dendritic axis do not produce significantsomaticpolarization(Chanetal.1988;Biksonetal.2004;butseeaxon terminalpolarizationnext).Thesomaticcouplingstrength is roughly related to thesizeofthecellandthedendriticasymmetryaroundthesoma(Svirskisetal.1997;Radmanetal.2009)makingpyramidalneuronsrelativelysensitive.Forcorticalpyramidalneurons,thetypicalpolarityofsomaticpolarizationisconsistentwiththe“somaticdoctrine”(e.g.,positivesomaticdepolarizationforpositiveelectricfield).Thepolar-ityofthecouplingconstantisinverted(usingourfielddirectionconvention)forCA1pyramidalneuronsduetotheirinvertedmorphology.Usingexperimentalandmod-elingtechniquesthecouplingconstantofdendriticcompartmentscanalsobeinves-tigated;generally themaximalpolarization is expectedatdendritic tufts (Biksonetal.2004),butshouldnotexceed,inanimals,∼1mVpolarizationperV/melectricfield(Chanetal.1988;Radmanetal.2007,2009).
If tDCSproduces apeak electricfieldof 0.3V/mat 1mA (with themajorityof cortex at reduced values) then the maximal somatic polarization for the mostsensitivecellsis∼0.1mV.Similarly,for2mAtDCSstimulation,themostsensitivecellsinthebrainregionwiththehighestelectricfieldwouldhavesomaticpolariza-tionof∼0.3mV.Far from“closing thebook”on tDCSmechanism,workbyourgroupandothersquantifyingthesensitivityofneurontoweakDCfields,hasraisedquestionsabouthowsuchminimalpolarizationcould result in functional/clinicalchanges especially considering that endogenous “background” synapticnoise canexceedtheselevels.Inrecentyears,motivatedbyincreasedevidencethattranscra-nialstimulationwithweakcurrentshasfunctionaleffects,aswellasongoingques-tionsabouttheroleofendogenouselectricfieldswhichcanhavecomparableelectricfields, themechanismsofamplificationhavebeenexplored inanimalstudies;weorganizetheseeffortsbynon-linearsinglecellproperties(discussednext)aswellassynapticprocessingandnetworkprocessing(addressedinthenextsections).
3.2.4 amplifiCation tHrougH rate and timing
Atthesinglecelllevelthemostobviousnon-linearresponsethatcouldprovideasub-strateforacuteamplificationistheactionpotential.AstheelectricfieldsinducedbytDCSarefartooweaktotriggeractionpotentials(AP)inneuronsatrest(i.e.,∼15mVdepolarizationfromresttoAPthereshold,onecanconsiderinsteadmodulationofongoingAPactivity.Atthesinglecelllevelwe(1)consideracuteimplicationthroughtherateofactionpotentialgeneration(rateeffects);and(2)developtheconceptofamplificationthroughchangeinthetimingofactionpotential(timingeffects).AsalreadydiscussedclassicanimalstudiesonweakDCstimulationaddressedtherateofchangeofspontaneousactionpotentialdischargerateinmanysystemschangesroughlylinearlywithmembranepolarization.Theamplification(gain)wouldrelatetosensitivityofdischargeratetomembranepolarization.TerzuoloandBullock(1956)reportedadetectablechangeindischargeratedownto0.8V/m,andthisdetectionthresholdwouldlikelydecreasewithlongerexperiments.Assuminga0.6V/mpeakelectricfieldduring2mAtDCSleadingto∼0.2mVsomaticpolarization,andthat
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70 Transcranial Brain Stimulation
acrossanimalstudieschangesinfiringratesof7HzpermVmembranepolariza-tionarereported(CarandiniandFerster2000),achangeinfiringrateof∼1.5Hzisplausible.Theaforementionedconsiderationisforisolatedneurons,forneuronsinanactivenetwork(seeSection3.4).
In2007,weproposed that changes in actionpotential timing (rather thandis-chargerate)canacttoamplifytheeffectsofweakpolarization(Radmanetal.2007).Specificallyweshowedinbrainslicerecordingandinasimpleneuronmodelthattheresultingchangeintimingwassimplytheinducedmembranepolarizationtimestheinverseoftherampslope(Figure3.4aandb);theinverseoftherampslopeisthusa“gain/amplification”termbecausethemoreshallowaramp,thelargerthetimingchangeforgivensmallpolarization(Figure3.4candd).Forexample,assumingasaforementioneda∼0.2mVsomaticpolarizationduring2mAtDCS,theninresponsetoa1mV/mselectricfield,timingwouldchangeby0.3ms.Wealsoextendedthesefindings toACfields (Radmanetal.2007).Both thecouplingsensitivityand the
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figure 3.4 IncrementalmembranepolarizationproducedbytDCSmaysignificantlyaffectthetimingofactionpotentialsinresponsetoaramp(synaptic,oscillation)input.Moreover,theamplificationofeffect(changeintimingperchangeinmembranepolarization)increasedformoregradualinput.(a)Schematicillustratestheprincipleoftimingamplification.(FromRadman,T.etal.,J. Neurosci.,27,3030,2007b.)(b)Thetimingamplificationwasvalidatedin hippocampal CA1 neurons using intracellular injected current ramp of various slopes.(candd)Thetimingchangeincreasedwithmembranepolarizationwithasensitivity(ampli-fication)thatistheinverseoftheinputrampslope.Theamplificationwouldfunctionduringprocessingof incoming synaptic input includingoscillations. (e)Demonstrationof timingchangeinresponsetoanincomingEPSP.nAincrementaldepolarizationproducedbydirectcurrentledtosignificantchangeinactionpotentialtiminginresponsetoasynapticinput.
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71Cellular and Network Effects of Transcranial Direct Current Stimulation
timingchangeswereconfirmedbyAnastassiouetal.(2010)usingamorecomplexmodel.Thoughtheprincipleoftimingamplificationgeneralizestoothercelltypesandtosynapticinput(Figure3.4e;Biksonetal.2004),thesimpleamplificationequa-tion(Figure3.4a)makesspecificassumptionsaboutmembranedynamics(Radmanetal.2007)thatmaynotextendtoallcelltypes(Radmanetal.2009).
Additionalmechanismsofamplificationat thesinglecell level remainanareaofactiveinvestigation,especiallywhenconsideringhowexposuretolong-durationfields(e.g.,minutesasusedintDCS)mayproducecumulativeeffectsnotobservedduringshorttermapplication(e.g.,molecularchanges;Gartside1968;Fritschetal.2010;Ranierietal.2012).Itremainsanopenandkeyquestionhowprolonged(min-utes)polarizationofboththesomaanddendritescanthentriggerspecificchemi-calandmolecularcascades,therebyleadingtotheinductionofplasticity(seenextsection).
3.2.5 seizure tHresHold and modulation
Thecouplingconstantalsoprovides insight into thesafetyof tDCS in regards totriggeringofseizuresduringstimulation.WhereasTMSproduces100V/mpulsedelectricfieldsthataresuprathreshold,tDCSresultsinastaticelectricfield<1V/mat2 mAproducing<1mVofpolarization.AnimalstudiesindicatethatonlyapplicationofDCfields>20V/m(correspondingto>60mAtDCS)wouldtriggeractionpoten-tialinthemostsensitivequiescentcorticalcells(Radmanetal.2009)whileelectricfieldsof∼100V/m(correspondingto>500mAtDCS)inthesomaticdepolarizingdirectioncantriggerepileptiformactivityinhippocampalslices(Biksonetal.2004).Thisthresholdwoulddecreaseforalreadyactiveneurons.Inbrainslices,weakDCstimulation (on the order of 1 V/m) can modulate ongoing epileptiform activity(Gluckmanetal.1996;Ghaietal.2000;DurandandBikson2001;Suet al.2008;Sunderamet al.2010),suchthat thecathodal tDCSmaycontrolongoingseizureswhileanodaltDCSmayaggravateseizureactivity.Inapolarity-specificfashion(con-sistentwithsomaticpolarization)DCstimulationcanalsomodulatethepropagationofepileptiformactivityinslices(Gluckmanetal.1996),spreadingdepressioninvivo(Liebetanzetal.2006),andperhapsclinicalepileptiformactivity(Vargaet al.2011).Thoughtheacute(duringstimulation)effectsofweakDCcurrentsonepileptiformactivityarewellestablishedinanimalmodels, itremainsanopenquestionifandhowprolongedDCstimulationmodulatesseizure propensity.Animal studiessug-gestthatprolongedcathodalDCstimulationcanbeanti-convulsant,whilereportsoftheeffectofanodaltDCSaremixed(Hayashietal.1988;Liebetanzetal.2006),andpilothumanstudiessuggestananti-epilepticeffect.
3.2.6 limitations of tHe somatiC doCtrine
Themostevidentlimitationofthesomaticdoctrineispreciselywhatcellcompart-ments it ignores: thedendritesandaxons.While thebasaldendritewillbepolar-ized similarly as the soma, the apical dendrite will be polarized in the oppositedirection (Figure 3.3; Andreasen and Nedergaard 1996; Bikson et al. 2004). Thedendritesareelectricallyexcitable.Animalstudieswithhigh-intensityappliedDC
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fields(∼100V/m)haveshownthatwithsufficientlystrongstimulation,activepro-cesses(spikes)canbetriggeredinthedendrites(Chanetal.1988;WongandStewart1992;AndreasenandNedergaard1996;Delgado-Lezamaetal.1999).Evenif theelectricfieldsinducedduringtDCSarenotsufficientinthemselvestotriggerden-driticspikes,theroleofdendriticpolarizationduringtDCSremainsanopenques-tionespeciallywhenconsideringprocessingofsynapticinput(nextsection).
Itiswellestablishedthataxonsaresensitivetoappliedelectricfields;themagni-tudeanddirectionofpolarizationisafunctionofneuronalandaxonalmorphology(BullockandHagiwara1957;TakeuchiandTakeuchi1962;Salvadoretal.2010).Whiletheaxoninitialsegmentwouldlikelybepolarizedinthesamedirectionasthesoma(Chanetal.1988),forlongaxonsthisisnotnecessarilythecase.Thusitisusefultoseparatelyconsidertheaxoninitialsegments(withinamembranespaceconstantofthesoma)andmoredistalaxonalprocesses,whichcanbefurtherdividedinto“axons-of-passage”andafferentaxonswithterminations(discussedinthenextsection).Notably,forlongstraightaxons-of-passage(e.g.,PeripheralNervousSystem,PNS)cathodalstimulationwillbemoreeffectivethananodalstimulationininduc-ing depolarization (opposite to the somatic doctrine; Bishop and Erlanger 1926).It has been shown that lasting changes can be induced in PNS axons in humans(sobyimplicationinCNSaxonsindependentofsomaticactions)andalso,inbrainslices,thatweakDCfieldscanproduceacutechangesinCNSaxonexcitability(pre-synaptic/antidromicvolley)(Jefferys1981;Biksonetal.2004;Kabakovetal.2012).Animportantroleforaxonterminalpolarizationisintroducedinthenextsection.
Apresumptionofthesomaticdoctrineisthatundertheanodecurrentsareradialandinwardthroughthecortex,whileunderthecathodecurrentisradialandoutward(Figure3.3).However,high-resolutionmodelingsuggeststhatinconvolutedhumancortex,currentisneitherunidirectionalnordominantlyradial.Thoughthe“somaticdoctrine” isbasedonlyonradiallydirectedelectricalcurrentflow(normal to thecorticalsurface),duringtDCSsignificanttangentialcurrentflowisalsogenerated(along thecortical surface). Indeed, recentworkbyourgroupsuggests tangentialcurrents may be more prevalent between and even under electrodes (Figure 3.1).Asdiscussednext,tangentialcurrentscannotbeignoredinconsideringtheeffectsof tDCS.Moreover,duetocorticalfoldingthedirectionorradialcurrentflowundertDCSelectrodesisnotconsistent,meaningthereareclusterofbothinward(depolar-izing)andoutward (hyperpolarizing)corticalcurrentflowundereither theanodeorthecathode!Duetothecorticalconvolutions,currentisnotunidirectionalunderelectrodes thus under the cathode there may be isolated regions of inward corti-calflow,andinthoseregionsneuronalexcitabilitymayincrease(Creutzfeldtetal.1962).Therelativeuniformityofdirectionacrossagivenpatchofcortexdependsontheelectrodemontage,withelectrodeacrosstheheadproducingthemostconsis-tentpolarizationundereachelectrode(Turkeltaubetal.2011)andcloserelectrodes,suchastheclassicM1-SO(anodeonmotorstrip,cathodeoncontralateralsupraor-bitalarea)montage,producingbidirectionalcurrentflowwithaslightdirectional-itypreferenceon average in someregionsunder theelectrodes (Figure3.1).ThisseemspuzzlinginlightofthedependenceonthesomaticdoctrineintDCSmontagedesignandstudyinterpretation.Theroleoftangentialandbidirectionalcurrentflowisaddressedinthenexttwosections.
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3.3 plastiCity, synaptiC proCessing, and a “terMinal doCtrine”
The clinical need for lasting changes by tDCS relates to the impracticality ofconstantstimulationwithnon-invasivetechnology(i.e.,wearingastimulationcapallthetime).ThedesireforlastingchangemeanstDCSshouldinfluenceplastic-ityduringorafterstimulationincognitive/therapeuticrelevantway(Yoonetal.2012).ThissectionaddressesthecontributionofanimalstudiestounderstandingplasticitygeneratedbyweakDCelectricfields.Thecontributionofearlytransla-tionalstudiestotDCSprotocolsisnotableasBindmanandcolleagues(Bindmanetal.1962)recognizedtheimportanceorprolongedDCstimulationtoproducelastingeffects (>5min),which informed theirearlywork in tDCSofpsychiat-ric disorders (Costain et al. 1964; Redfearn et al. 1964) and the multi-minutestimulationrequiredintheNitscheandPaulus(2000)report, thatinturnestab-lishedtheuseofprolongedstimulationacrossmoderntDCSstudies.Theneedforprolonged(minutes)stimulationtoinduceplasticity(mechanism)andprotocolsforoptimizing long-lastingchanges (clinicalutility) remains a centralquestionintDCSresearch(Monte-Silvaetal.2010).Marquez-Ruizrecentlysummarized(Marquez-Ruizetal.2012)
WhentDCSisofsufficientlength,synapticallydrivenafter-effectsareinduced.Themechanismsunderlyingtheseafter-effectsarelargelyunknown,andthereisacom-pellingneedforanimalmodelstotesttheimmediateeffectsandafter-effectsinducedbytDCSindifferentcorticalareasandevaluatetheimplicationsincomplexcerebralprocesses.
Animal studies in the 1960s also helped established that weak DC currentproduces plastic changes (a lasting physical change in the brain rather than a“reverberatingcircuit”ofactivation)(Gartside1968).Asnotedearlier,earlyani-malstudiesalsocontributed toestablishing the“somaticdoctrine” in tDCSbutmodernclinicalstudiesontDCShavesuggestedthatchangesinexcitabilityarenotnecessarilypolarity specific (Marquez-Ruiz et al. 2012), ormonotonicwithintensity such that cathodal or anodal stimulation can produce variable effectsdependingonintensity,duration,orunderlyingactivity.Inthepastdecade,animalandcomputationalstudiesarebeginningtoaddresstheseissues.Bothinhumansandanimalstudieschangesinevoked(synapticallymediated)neurophysiologicalresponsesareconsideredreliablehallmarksofplasticchangesthatcouldsupportbehavioralorclinicallastingchanges(andarethusafocusofthissection),thoughonerecentreportinrabbitsindicatedthiswasnotsimplythecase(Marquez-Ruizetal.2012).
3.3.1 paradigms for dC modulation of synaptiC effiCaCy
IntheprevioussectionitwasdiscussedthatastDCSelectricfieldsaresub-threshold(tooweaktotriggeractionpotential inquiescentneurons); theiracuteroleisthustrulyneuromodulationthrougheitherrateortimingeffects.WeakDCstimulation
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may generate plasticity through different paradigms, which are not necessarilyexclusive:
1.Membranepolarizationmaytriggerplasticchangesinamannerindepen-dentofanyongoingsynapticinputoractionpotentialgeneration(i.e.,simplyholdingthemembraneatanoffsetpolarizationinitiateschanges).Thoughinacorticalbrainslicemodel(withnobackgroundactivity),weakpolariza-tionwasnotsufficienttoinduceplasticchanges(Fritschetal.2010).
2. Changesinactionpotentialdischargerateortiming,secondarytoneuronalpolar-ization,wherethefiringchange(whichisdependentonmanyfactorsincludingthedirectpolarization)actuallydeterminesplasticity.“Thereissomeevidencethat adetermining factor inproducing long-lastingafter-effects is thechangeinthefiringrateofneuronesratherthanthe…currentflowthatproducesthechanges”(Bindmanetal.1964).ThoughclassicanimalstudiesindicatedweakDC stimulation is sufficient to induce plastic changes (Gartside 1968) is itimportanttonotethatpolarizationwouldaffectanetworkofneuronssuchthatincreasedfiringinafferentswouldinfactincreasesynapticinput(seenextpoint).
3.Polarizationofthemembraneincombinationwithongoingsynapticinput.Though it isestablished thatweakDCstimulationcan lead toacuteandlastingchangesinsynapticefficacy(seenext),thespecifichypothesishereis that the generation of plasticity requires synaptic co-activation duringDC stimulation. Evidence from brain slices (Fritsch et al. 2010) showspotentiationunderanodalstimulationonlyduringspecificitymatchedpat-terns(frequencies)ofsynapticinput.Inarabbitstudy,DCwascombinedwithrepeatedsomatosensorystimulation,leadingtoacutepolarity-specificchanges, and lasting changes for the cathodal case (Marquez-Ruiz et al.2012).Ifdependentoncombinedpolarizationandsynapticinput,thensyn-apsespecificchangesareplausible.IfoneassumesDCexertsapost-synapticprimingeffect(polarizationofsoma/dendrite)thanco-activationofafferentsynapticinputcouldbeconceivedasHebbianreinforcement(exceptpost-synapticactionpotentialsmayormaynotberequired).Clinicallythisplas-ticityparadigmisbroadlyanalogoustocombiningtDCSwithacognitivetaskorspecificbehaviorthatco-activatesatargetednetworkorcombiningtDCSwithTMS.Indeed,workshowingtheimportanceofco-activationincorticalslice(Rioult-Pedottietal.1998;HessandDonoghue1999),influ-enced Nitsche and Paulus (2000) in developing tDCS. However, thoughTMSisusedtoprobetheeffectsof tDCS, it turnedoutnot tobeneces-sarytoapplyitduringtDCS.Wewouldnotethat,unlikeinbrainsliceandanesthetizedanimalmodels,thehumancortexisconstantlyactivesuchthattDCSisalwaysappliedonconjunctionwithongoingsynapticinput.
4.Polarizationofthemembraneincombinationwithongoingactivitythatitselfisindependentlyleadingtopotentiation(i.e.,modulationofongoingplasticity).Forexample, intheaforementionedrabbitstudy,DCstimulationmodulatedongoingsynaptichabituation,amodelofassociativelearning(Marquez-Ruizetal.2012).ClinicallythisfourthparadigmisanalogoustocombingtDCSwithlearning/training(Bologninietal.2010).Evidencefrombrainslices(Ranieri
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etal.2012)showsDCmodulationofLTPinducedbytetanicstimulation,inapolarity-specificmannerapparentlyoppositetothesomaticdoctrine(whenoneconsidersthatCA1neuronmorphologyresultsin“anodal”stimulationproduc-ingsomatichyperpolarization).Usingintracellularcurrentinjection,Artolaetal.(1990)showedthatdependingonthelevelofpolarizationofthepost-synap-ticneuron,thesametetanicstimulationcaninduceLTDorLTP.
Aseparateclassificationincludeslastingchangesthatare:(1)“synaptic”:occuratsynapticprocesses(e.g.,increasedvesiclerelease,receptordensity)andareblockedby synaptic antagonists; versus (2) “non-synaptic”: occur independentof synapticprocesses(e.g.,membranepolarization).Thoughthesynapseistypicallyconsideredthelocusofplasticchanges,socalled“non-synaptic”changeshavebeennotedafterDCstimulationinperipheralaxonsawayfromanysynapse;importantly,inthiscase,cathodalstimulationinducingpotentiation(Ardolinoetal.2005)whichisconsis-tent with cathodal stimulation induced preferential depolarization in long axons.Clinically,thequestionof“synaptic”versus“non-synaptic”originoftDCSmodula-tionintheCNShasbeenexploredanddebatedbydistinguishingmodulationofTMSversusTESevokedpotentials—bothofwhich,inouropinion,havevariableorigin(dependingonmethods).Moreover,usingeitherTESorTMS,thepresenceofandroleofbackgroundsynapticactivityinprimingexcitabilityduringtDCS,regardlessof“synaptic”or“non-synaptic”locus,muddlesanyefforttodisambiguatethemech-anismalongtheselines.However,inbrainslicemodels,wherebackgroundsynapticactivity isabsent,synaptic(orthodromic)andnon-synaptic(axon,antidromic)canbepreciselyisolated—seediscussiononaxoneffectsgivenearlier.Itisimportanttonotethatasfarasoutcome,intheCNSchangesof“non-synaptic”originwouldbeexpectedtoaffectsynapticprocessing(MozzachiodiandByrne2010).
Whenconsideringthecomplexityof(multipleformsof)tDCSplasticity,theneedforanimalmodelsisevident.Animalmodelsallowforsynapticefficacytobequan-titativelyprobedwithpathwayspecify—theimportanceofwhichwediscussnext.Themechanismsofplasticitycanbeanalyzedusingspecificpharmacologynotprac-ticalinpeople(fortoxicity),nottomentiontheabilitytoresecttissuefordetailedcellularandmolecularanalysis(Islametal.1995;Yoonetal.2012).Thoughlimitedtotimescalesofhours,theuseofbrainslicefurtherfacilitatesimaging,precisedrugconcentrationcontrol,controlofthebackgroundlevelandnatureofongoingactivity(fromquiescent,totransientactivationatspecificfrequencies,tooscillations,toepi-leptiform)and,especiallyrelevantfortDCS,thecontrolofelectricfieldorientationrelativetoslice(Figure3.5).Itmaynotbeprudenttoreverttoaone-dimensional“sliding scaleof excitability”explanationwhere anodal/cathodal tDCS increases/decreases“function”leadingtolastingincreases/deceasesingenericsynapticplas-ticity,whicharethenrelatedtocognitive/behaviorchanges—ThisapproachseemssimplisticandunlikelytoultimatelyadvancetDCSsophisticationandefficacy.
3.3.2 relation witH tetaniC stimulation induCed ltp/ltd
Animalstudiesusingtetanicstimulationtoinducelong-termpotentiation/depression(LTP/LTD)havesuggestedmultipleformsofplasticity,involvingdistinctpre-and
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post-synapticmechanisms,ondistincttimescales.WhencomparingthethousandsofstudiesontetanicLTPcomparedwiththe<50animalstudiesonDCinducedplastic-ity,onemayspeculatethat,despiterecentprogress,thereismuchtoinvestigateabout(multiplepotentialforms)ofweakDCstimulationinducedplasticity(Bindmanandcolleague’sconclusionin1964that“atthemomentwearenotinapositiontodiscussthewayinwhichpolarizingcurrentsactsonneuronstoalterlong-termexcitability”comes to mind [Bindman et al. 1964]). LTP/LTD induced by tetanic stimulationandbyDCcurrentmay,notsurprisingly,sharesomecommonmolecularsubstrates(Gartside1968;Islametal.1995;Ranierietal.2012).Itisremarkablethatadecadebefore the lauded discovery of Long Term Potentiation by trains of suprathresh-oldpulsesbyBlissandLomo(1973),animalstudieshadshownlastingchangesinexcitabilityfollowingDCstimulationlastinguptohours(Bindmanetal.1962)andmoreoverhadbegunestablishedplasticchangesandstartedtoaddresstheunderly-ingmolecularmechanisms(Gartside1968)andtranslatingresultstohumans!Itwasrecently suggested that tDCSshares someof theclassicalmolecularmechanismsassociatedwithtetanicstimulationLTP/LTD(Marquez-Ruizetal.2012)includingadenosine-elicitedaccumulationofcAMP(Hattorietal.1990)inducingincreasedproteinkinaseCandcalciumlevels(Islametal.1994,1995).Thewealthoftech-niquesandtoolsdevelopedbythe“cottageindustry”oftetanicstimulationLTPhave
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figure 3.5 FurtheradvantagesofthebrainslicepreparationinstudyingmechanismsofweakDCstimulation.(a)Adiscussioninthetext,thedirectionoftheappliedelectricfieldrelativetothesomato-dendriticaxiscanbepreciselycontrolled.(AdaptedfromBikson,M.etal.,J. Physiol.,557(Pt1),175,2004.)TheeffectsofDCcurrentonbrainfunctionmayvarywithorientation.(b)Synapticfunction/efficacyisnot“onething,”rathertherearemultipledistinct synaptic afferent toanybrain regionwhichcanbeevaluated in isolation inbrainslices.TheeffectsofDCcurrentonsynapticfunctionmaybehighlypathwayspecific.
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77Cellular and Network Effects of Transcranial Direct Current Stimulation
yettobefullyleveragedtodissectthemechanismsoftDCS—butthisseemsamatteroftime.Inthecontextoftranslationalimportance,itisalsointerestingthatprotocolsusingtetanicstimulationinanimalshaveinfluencedthedesignofTMSprotocols(LTP/LTD,theta-burst,etc.).
3.3.3 wHiCH Compartments are influenCed by dC stimulation: soma and dendrites
Asdiscussedearlier,weassumethattheactionsofDCstimulationinitiatewithmem-branepolarization,withallother(complex)changessecondarytothispolarization.WenotedthatDCpolarizationwillinfluenceallneuronsinareasofthebrainwithcurrentflow,withequalportionsmembranedepolarizationandhyperpolarization.Ourresearchisthusfocusedonwhichmembranecompartments(soma,dendrites,axonsprocess,axonterminals)whenpolarizedbyweakDCstimulationarerelevantfromboththeperspectiveoflocusofchangeandmechanism.Canthesomaticdoc-trinebeusedtopredictplasticitychanges?Orisplasticityrelatedtopolarizationofspecificdendriticoraxonalcompartments?
Ifoneconsiders the lastingeffectsof tDCStobegenerallyanalogous to long-termpotentiationthentDCSeffectshowinformationisprocessedbyneuronsthoughalteredsynapticefficacy.Thoughthesomaisimportantforintegrationofsynapticinput, thedendritesevidentlyplayacentralroleinsynapticprocessingandintheinductionofplasticity.SeveralanimalandclinicalstudieshaveimplicatedprocesseslinkedtothedendritesintDCS(e.g.,glutamatergicreceptorsliken-methyl-D-aspar-tic receptor, NMDAR) (Liebetanz et al. 2002; Nitsche et al. 2003; Ranieri et al.2012;Yoonetal.2012).Akeyquestionisthus:ashalfthedendritewillbepolarizedinthesamedirectionatthesomaandhalfofthedendritewillbepolarizedintheoppositedirection(Figure3.3),howdopolarity-specificchangesarise?Arechangesin synaptic processing/plasticity always consistent with the somatic doctrine? Assummarizednext,theanswerseemstobe:“itdepends.”
Earlyworkprobingevokedresponsesinanimalmodelsindicatedmodulationinexcitability,withthedirectionofevokedresponsechangeconsistentwiththesomaticdoctrine(Creutzfeldtetal.1962;Bindmanetal.1964)thoughBishopandO’Leary(1950)alreadynoteddeviations.RecentstudiesaimedatdevelopingandvalidatedanimalmodelsoftranscranialelectricalstimulationhaveshownmodulationofTMSevokedpotentialandvisualevokedpotentialsconsistentwiththesomaticdoctrine(Cambiaghietal.2010,2011).Inapioneeringworkusinguniformelectricfieldsinbrainslices,Jefferysshowedacutemodulationofevokedresponses inthedentategyrusofhippocampalsliceswhenelectricfieldswereparallel to theprimary tar-getcelldendriticaxis,withpolarity-specificchangesconsistentwithsomaticpolar-ization, and no modulation when the electric field was applied orthogonal to theprimarydendriticaxis(Jefferys1981).Theprecisecontrolofelectricfieldangleispossibleinbrainslicesandleveragedinfuturework.
InBiksonetal.(2004)weusedthehippocampalslicepreparation,whichwasini-tiallyconceivedasaseriesofstraightforwardexperimentstoconfirmthevalidityofthesomaticdoctrineinpredictingacutechangesinexcitability—tooursurprisewefoundseveraldeviations.Opticalimagingwithvoltagesensitivedyesprovideddirect
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evidencethatDCelectricfieldsalwaysproducesbimodalpolarizationacrosstargetneuronssuchthatsomaticdepolarizationisassociatedwithapicaldendritehyperpo-larization,andviceversa—yetoverlongertimescalesinteractionsacrosscompart-mentswereobserved.Inaddition,forsynapticinputstothesomaandbasaldendrite,wereportedmodulationconsistentwiththesomaticdoctrine(consideringtheinver-sionrelative).ButforstrongsynapticinputontotheapicaldendritictuftbothDCfieldpolaritiesenhancedsynapticefficacy—suchthatdendritedepolarizationwithsomatic hyperpolarization also enhanced synaptic efficacy. Also in hippocampalslices,bothKabakovetal.(2012)andRanierietal.(2012)reportedmodulationofsynapticefficacyinadirectionoppositetothatexpectedfromthesomaticdoctrine(again noting inversion of dendrite morphology in CA1 pyramids relative to cor-tex). In thesecases,onemay speculate theapicaldendritedepolarization (despitesomatic hyperpolarization) determines the direction of modulation (Bikson 2004,p. 74); thoughKabakovet al. (2012)providesevidencesuggestingdendriticpolar-izationeffectsthemagnitudebutnotdirectionofmodulation.Asnoted,incorticalslicesbyFritschetal.(2010),modulationofevokedresponsesisindeedconsistentwith thesomaticdoctrine—afindingwehaveconfirmedfor fourdistinctafferentcorticalsynapticpathways.Thesevariationsacrossanimalstudiescouldbesimplyascribedtodifferentinregion/preparation,timescale(acute,long-term),anddiffer-ent formsofplasticity (BDNFdependent/independent),but this is speculativeandprovideslittleinsightintotDCS.Rather,inattempttoreconcilethesefindingsinasingleframework,wesiteevidenceforanddefinethe“terminaldoctrine”tocompli-mentthe“somaticdoctrine.”
3.3.4 wHiCH Compartments are influenCed by dC stimulation: synaptiC terminals
Inthe2004study(Biksonetal.2004)wealsoinvestigatedtheeffectsoftangen-tial fields on synaptic efficacy—tangential fields are oriented perpendicular totheprimarysomato-dendriticaxis,soareexpectedtoproducelittlepolarization(whichwedirectlyconfirmedwithintracellularrecording).Electricfieldsappliedtangentiallywereaseffectiveatmodulatingsynapticefficacyasradiallydirectedfields.Theafferentaxonsruntangentially,sowespeculatedthattheymightbethetargetsofstimulation.Exploringdifferentpathwayswefoundthataxonpath-wayswithterminalpointedtowardtheanodewerepotentiated,whileaxonpath-wayswithterminalspointedtowardthecathodewereinhibited.Kabakovetal.(2012)reportedsimilarpathwayspecificdependencesummarizing“thefEPSPismaximallysuppressedwhentheAPtravelstowardthecathode,andeitherfacili-tatedorremainsunchangedwhentheexcitatorysignal[AP]propagatestowardtheanode.”Inaddition,Kabakovetal.(2012)observedchangesinpaired-pulsefacilitationpotentiallyconsistentwithpre-synapticvesicularglutamaterelease.Werecentlyconfirmedasimilardirectionalsensitivityincorticalslicesacrossfourdistinctpathways(Figure3.5)whereelectricfieldappliedtangentiallytothesurface(andsoproducingminimalsomaticpolarization)(Radmanetal.2009),modulated synaptic efficacy. Interestingly, an in vivo study suggested axonal
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regrowth (as well as dendritic growth) in tDCS mediated neuroplasticity aftercerebralischemia(Yoonetal.2012).
Aroleforpre-synapticmodulationduringDCstimulationisindeednotsurprisingandhistoricallynoted.PurpuraandMcMurtry(1965)observed
althoughthe[somatic]membranechangesproducedbytranscorticalpolarizationcur-rentsatisfactorilyexplainsalterationsinspontaneousdischargesandevokedsynapticactivitiesin[pyramidaltract]cell,itmustbeemphasizedthattheeffectsofpolariz-ingcurrentonotherelementsconstitutingthe‘pre-synaptic’,interneuronalpathwayto[pyramidaltract]cellsalsoappeartobedeterminantsoftheovertchangesobservedin[pyramidaltract]cellsactivities.
BishopandO’Leary(1950)notonlyquantifiedpre-synapticeffectsduringDCstimulation inanimals, theynoted thatpre-synaptic effectswouldcomplicate theinterpretation of post-synaptic changes as well as themselves induce long-lastingafter-effects.
Itiswellestablishedthatcellularprocessterminalsincludingaxonterminalsareespeciallysensitivetoelectricfieldsasaresultoftheirmorphology(DelCastilloandKatz1954;Bullock andHagiwara1957;Hubbard andWillis 1962;Takeuchi andTakeuchi1962;Awatramanietal.2005)andthatterminalpolarizationcanmodulatesynapticefficacy (independentof target somapolarization) (DelCastilloandKatz1954;BullockandHagiwara1957;HubbardandWillis1962;TakeuchiandTakeuchi1962;Awatramanietal.2005).Moreover,thismodulationiscumulativeintimeandenduresafterstimulationifstopped(HubbardandWillis1962);atemporalprofilenoted inclassicDCexperiments (Bindmanetal.1964)andsuggesting thepossi-bilityforplasticity.Thedirectionofmodulationinbrainslicestudiesconsistentlysuggests that terminal hyperpolarization enhanced efficacy, while depolarizationinhibitedefficacy.Paired-pulseanalysisinarabbitmodelsuggestedtDCSinfluencespre-synaptic sites (Marquez-Ruiz et al. 2012). Our proposed “terminal doctrine”postulates:afferentsynapticprocessesorientedtowardthecathode(ormorespecifi-callyparallelwiththedirectionofelectricfield)willbepotentiated(duetosynapticterminalhyperpolarization),whileprocessesorientedtowardtheanode(orspecifi-callyantiparallelwiththeelectricfield)willbeinhibited.AstDCSinducedsignifi-canttangentialfields(Figure3.1),theroleofterminalpolarization(independentofthe“somaticdoctrine”) remainsacompellingandopenquestionespeciallywhentakentogetherwiththeneedforamplificationandtheroleofsynapsesinplasticity.
Thisproposalof a “somaticdoctrine”versus “terminaldoctrine” canbe con-ceptualized as generically analogous to the pre-/post-synaptic debate in tetanicstimulationinducedLTD/LTP(Artolaetal.1990);andaswithtetanicstimulationinducedLTD/LTP,bothmechanismsarelikelytoplayarole.Itisimportanttonotethatcurrentcrossingthegreymatterisrarelypurelyradialortangential,suchthatsimultaneous somatic and terminal polarization is broadly expected.Even in thebrainsliceafferentaxonsandthetargetneuronsarenotperfectlyorthogonal,whichmayexplainsomeofthedivergentfindingsinhippocampalbrainslicesnotedear-lier.DuringtDCSbecauseofthecomplexityofcurrentflowacrossthegraymatter(Figure3.1)thesituationisstillmorecomplex,especiallyconsideringthatwhether
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theterminaldoctrinepredictsexcitationorinhibitiondependsonthedirectionofincomingaxons.Perhapscarefulconsideringonbraincurrentflowpatternscomb-ingwithextendingthinkingbeyondthesimplesomaticdoctrinetoincludeboththerole of (oppositely polarized) dendrite, axons, and axons terminals can reconciledivergentclinicalfindingsshowinginversionofclassicaldirectioneffects(NitscheandPaulus2000;Ardolinoetal.2005)ordirection-neutraleffects(Nitscheetal.2003).Weemphasizethatgiventhecomplexityofplasticityparadigmsandstimula-tiontargets, leadingtopotentiallymultipleformsoftDCSplasticity, translationalanimalstudiesarecritical,alongsideclinicalneurophysiology,tounderstandtDCSandultimately informrationalelectrotherapy.Moreover,meaningfulclinicalout-comerelyonspecificandincreasinglylong-lastingchanges;thebasisofwhichcanbestudiedinanimals.
3.4 network effeCts
TheconsiderationofhowweakDCelectricfields interactwithactivenetworks(e.g., oscillations) is a very compelling area of ongoing research because, justas network of coupled active neurons exhibit “emergent” network activity notapparent in isolated neurons, so does application of electrical stimulation toactivenetworksoftenproducesresponsesnotexpectedbysingleneurons.Theseresponsesarespecific to thearchitectureandactivityof thenetwork.Networksalsoprovideasubstrateforamplificationbeyondthecell/synapse level.ReportsthatDCcurrentcanalter“spontaneousrhythm”inanimalsspandecades(DubnerandGerard1939;Antal et al. 2004;Marshall et al. 2011),while recent clinicalworkontDCShasaddressedmodulationofEEGoscillations.Newanimalstudieson DC stimulation, which addressed mechanism of this coupling, are reviewedin the section—with a focus on acute effects as the role of ongoing activity inplasticityisdiscussedearlier.
3.4.1 furtHer amplifiCation at tHrougH aCtive networks
In principle, the initial action of DC stimulation remains to polarize all neuronssensing the electric field. As discussed earlier, pyramidal somas are more sensi-tivebyvirtueoftheirmorphology,butaxonalanddendriticpolarizationshouldnotbeignored.NotethattDCSgenerateselectricfieldacrosslargeareasofcortex.Innetworks,akeyconcept is that theentirepopulationofcoupledneurons ispolar-ized—thiscoherent polarizationof thepopulationprovides a substrate for signaldetectionandforamplification.Interestingly, theeffectivecouplingconstantforaneuronimmersedinanactivenetworkmaybeenhancedcomparedtothatneuroninisolated(Reatoetal.2010)—meaningthatbyvirtueofbeinginanetworkagivencompartment(soma)maybepolarizeddirectlybythefieldandindirectlybyfieldactionsonacollectiveofafferentneurons.
Asnotedearlier,theconceptthatthresholdforelectricfieldsensitivitywouldbe“lowerformodulationofthefrequencyofanalreadyactiveneuronthanforexcitationofasilentone” (TerzuoloandBullock1956) iswellestablished,butnetworkactivityaddanotherdimensiontothis.Duringmanynetworkactivities,
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notablyoscillations,neuronsareconstantlynear threshold(e.g.,primedforfir-ing).Ifaneuronisnearthresholdbyvirtueofnetworkdrive,thenasmallpolar-izationmaybeinfluentialinmodulatingthelikelihoodoffiring.Forexample,arelatively small depolarization may be sufficient to trigger an action potential.Moreover,becausethenetworkisinterconnected,activatedneuronscouldsynap-ticallytriggeractionpotentialsinotherneurons.Thewholeprocesscanbefeed-forwardsuchthatasmallDCelectricfieldcaninducearobustactionpotentialdischarge inapopulation.Thishasbeenshown in thebrainslice (Reatoetal.2010).Thisconceptisinterestingbecauseitcloudstheentiredistinctionbetween“suprathreshold”stimulation,suchasTMS,and“sub-threshold”stimulation,astDCSiscommonlyconsidered.Itremainsthecasesthat theelectricfieldspro-ducedby tDCSare insufficient to triggeractionpotential inquiescentneurons(Figure3.6).
3.4.2 osCillations
AmajorityofworkonweakDCelectricfieldsandnetworkactivityinsliceaddressedepileptiformactivity(ininvestigationofmethodsforseizurecontrol).Thesereportsgenerallyobservedachangeintherateofepileptiformdischargegeneration(thelike-lihoodaneventwouldinitiate)ratherthanachangeineventwaveformonceinitiated.Thisfindingisconsistentwiththeconceptthatweakfieldpolarizeneurons(Biksonetal.1999,2004)andthatweakstimulationismorelikelytoinfluencestochasticini-tialrecruitmentofneuronsintherobustregenerativeepileptiformevent.DCelectric
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figure 3.6 ModulationofgammaoscillationsinbrainslicebyweakDCfields.Gammaoscillations were induced in the CA3 region by perfusion with carbachol. Negative fieldswhichproducehyperpolarizationofCA1pyramidalneuronsoma,attenuatedoscillation,butinterestingly the attenuationwasmostpronouncedwhen thefieldswhere turnedon, afterwhichoscillationactivitypartlyreboundedeventhoughthefieldwasstillon.Thissuggestshomeostatic“adaptation”(arrows)totheDCfieldbyneuronalnetworksystem.Afterthefieldisturnoff,thereisanexcitatoryreboundresponseconsistentwiththisadaption.AnoppositeeffectsisobservedforpositivefieldsthatwouldbedepolarizingthesomaofCA3pyramidalneurons.Thisadaptionatthenetworklevelisnotexpectedfromsingleneurons,soreflectsanemergentresponseofanactivenetworktoDCfields.
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fieldsmayalsoinfluencethepropagationrate(Francisetal.2003;Vargaetal.2011).Reatoetal.(2010)consideredtheeffectsofDCfieldsongammaoscillationsinbrainsliceandnotedbothtransienteffectswhenthefieldwasturnedon,andsecondarysustainedeffectswhicharemore relevant to tDCS (Figure3.6).Sustainedeffectswerecharacterizedbyadramaticcompensatory(“homeostatic”)regulationby thenetwork,suchthatthesystemtriedtonormalizeactivitytobaselinelevelsdespitethepresenceof theDC-field.ThisnetworkadaptationwasapparentwhentheDCfieldwasturnedoffasthenetworkwasdelayedinre-adjustingtotheabsenceofthefield—inthisway,excitatory(somaticdepolarizing)fieldsproducedpost-stimulationinhibitionofoscillations,andviceversa.Networklevelmechanisms(asopposedtosingleneuronbehavior)maythusprovideasubstrateforactivitydependenthomeo-static-likeobservationsduringtDCS(Cosentinoetal.2012).
Weakstimulationof“physiological”activityworkwithACorpulsedstimulationismorecommon(Deansetal.2007;FrohlichandMcCormick2010).ThoughReatoetal.(2010)proposedtheeffectsofACstimulationatdifferentfrequenciesandDCcouldbeexplainedinasinglecontinuousframework,itisimportanttodistinguishbetween studies exploring the limits of network sensitivity to weak AC or pulsefields,andprolongedDCcurrent(tDCS).Whenanetworkisgeneratingspontaneousoscillationsofepileptiformactivity(regenerativeevents),thenitiswellestablishedthatanelectricalpulsecantriggeraregenerativenetworkevent;moreover,repetitiveweakpulsesorACstimulationcanentrainactivitybyaligningthephaseoftheseeventswiththatoftherepetitivestimulation.Bydefinition,(exceptforatthestart)duringprolongedDCstimulationtherebasisforentrainment(thereisnophasetotheDC)suchthattDCScanaffectaveragedischargerateorwaveform,butnotphase.Thus, though entrainment is central in AC/pulsed stimulation studies in animals(aswellasclinically)(Marshalletal.2006),itsrelevancetotDCSislimited.
3.5 interneurons and non-neuronal effeCts
Theroleofinterneuronsandnon-neuronalcells,suchasgliaandendothelialcells,intDCSremainsbothawideopenandcriticalquestion.Wedistinguishbetween:(1) direct stimulation effects, reflecting direction polarization and modulation ofthesecelltypesbyDCfields;(2)indirectstimulationeffects,reflectchangeinfunc-tion secondary to direct excitatory neuronal activation that then influences theseothercelltypes;and(3)modulatoryeffects,wherethesensitivityofneuronstodirecteffects(e.g.,theirexcitability)isinfluencedbyothercelltypes.Infact,thefunctionofinterneuronsandnon-neuronalcelltypesaresointricatelywoundtogetherwithexcitatoryneuronsthatthesecondandthirdaspectsarepresumed(thoughcomplex),andweherefocusmostlyonthefirstpossibilityofdirecteffects.
3.5.1 interneurons
Because of their relatively symmetric dendritic morphology, interneuron somasareexpectedtopolarizelessthanpyramidalneurons(Radmanetal.2009).Basedonthe“somaticdoctrine” their importancemight thenbeconsidereddiminished.
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However, we cannot exclude polarizing effects of fields on dendrites and axons.Moreover,interneuronsrepresentawiderangeofmorphologiesandsize,includingasymmetricmorphologies(FreundandBuzsaki1996).Interneuronsexertapower-fulregionaleffect,includingplayingroleinplasticityandoscillations.Aneffectofpaired-pulsefacilitation inhippocampalslicemayalsosuggestmodulationof theactivityofinterneurons(Kabakovetal.2012).TheroleofinterneuronsinthedirecteffectoftDCSremainsthenanopenquestion.
3.5.2 glia
GliacellsrepresentthemajorityofcellintheCNS—theconceptthattheyarejust“passive”supportcellsisoutdated(HaydonandCarmignoto2006)andtheircomplexroleinneuronalfunctionssuchasplasticityarebeingelucidated(DiCastroetal.2011;Panatier et al.2011).Somegliahavedistributedprocesseswhichwould influencetheirsensitivitytoappliedelectricfields(RuohonenandKarhu2012),butevenmoreinterestingisthenotionthattheglialsyncytium(anelectricallycoupledpopulationofglialcells),mightacttoamplifyfieldpolarization.OnepossiblemechanismforDCmodulationthroughgliacellsrelatestotheconceptofpotassium“spatialbuffer-ing.”Gliacellsarethoughttoregulateextracellularpotassiumconcentrationthroughapolarizationimbalanceacrosstheirmembrane,whichispreciselythetypeofpolar-ization inducedbyDCfields.Howtoexplorepossibleeffectsofelectricfieldsonthismechanismremainsunclear.Gardner-MedwininducedextracellularpotassiumtransportbypassingDCcurrentandnotedconcentrationchangesinsalineneartheelectrodes,which ismechanisticallydistinct than tissuechanges(Gardner-Medwin1983).Studiesinbrainsliceshownochangesinextracellularpotassiumconcentra-tionwithDCfields(Lianetal.2003),thoughthebrainslicepreparationhasdistortedextracellularconcentrationcontrolmechanisms(Anetal.2008).Neuronsandgliacanbeculturedseparately,butmorphologyandbiophysicsarealteredinculture.Ingeneral,thereareno“magicbullet”drugsforthegliafunction,andregardlessanychangesingliafunctionwouldinfluenceneuronsandsodirectresponsestoDCfieldsmaybedifficulttodetermine.Still,giventhegrowinginterestintheroleofgliacellsinCNSfunctionandtheincreasedsophisticationofexperimentaltechniques,theirroleintDCSisaworthwhileareaofinvestigation(RuohonenandKarhu2012).
3.5.3 endotHelial Cells
Endothelial cells help form theblood-brainbarrier that tightly regulates transportbetweenthebrainextracellularspaceandblood.AnydirectactionofDCstimulationonendothelialcellscouldhaveprofoundeffectsonbrainfunction.Endothelialcellsdonothaveprocessesandtheirsphericalshapeindicatespeakpolarizationwillberelatedtocelldiameter(KotnikandMiklavcic2000)—duringtDCSmembranepolarizationisexpectedtobewellbelowthethresholdforelectroporation.ThedirecteffectsoftDCScurrentonvascularresponseareanopenandcompellingquestion.ThereareabundantevidencesthatDCcurrentaffectsvascularfunctioninskin(Ledger1992;Prausnitz1996;Berliner1997;MaltyandPetrofsky2007)andindeedskinrednessistypicalundertDCSelectrodes(Minhasetal.2010).Vascular andneuronalfunctions
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84 Transcranial Brain Stimulation
inthebrainarecloselyinterrelated,asevidencedbyfunctionalMagneticResonanceImaging(fMRI).Therelationisalsocomplex,anditcanbedifficulttodisentangledirect neuronal and potential direct vascular effects (a chicken-and-egg problem),includingduringtDCS.Wachteretal.(2011)foundapolarity-specificchangeinbloodperfusionduringtDCSinrat,inadirectionconsistentwiththesomaticdoctrine,andspeculatedthedirectionspecificitywasconsistentwithaprimaryneuronalaction.Thebrainsliceiscompellingsincethebloodsupplyisnotpresentsuchthatfindingsin slice includingacute (Biksonet al.2004)and lasting synaptic efficacy (Fritschet al.2010)changescanexcludeanendothelialcontribution.Conversely,endothelialculture includingmodelsof theblood-brain-barrier canbe electrically stimulated.Weshowedthathigh-intensityelectricalstimulationcouldincreasetransportacrosssuchamodel throughaphenomenawecalled“electro-permeation”betweencells,to distinguish it from electroporation of single cells (Lopez-Quintero et al. 2010).InvestigationofDCstimulationinthismodelisongoing(Figure3.7).
3.6 suMMary and a 3-tier approaCh
Clinical tDCS protocols continue to be largely designed and interpreted follow-ing the “somatic doctrine,” namely that anode/cathode stimulation results in ageneralizedincrease/decreaseinneuronalexcitabilityduetoradialcurrentflowandsomaticpolarization.Animalstudiesshowedthatcurrentflowradial(normal)tothe
“Targeting” of non-neuronal cells
Interneuron
Glia
Primary (excitatory)efferent neuron
Blood-brainbarrier
Extracellularspace
Stimulation activationregion (field)
figure 3.7 CouldtDCSdirectlymodulatethefunctionalofinterneuronsornon-neuronalcells?Thedirectresponseofinterneurons,glia,andendothelialcells(thatformtheblood-brainbarrier)remainsanopenquestion—thatisdifficulttoaddresseveninanimalmodels.It isexpected that thesecell types,by influencingexcitatoryneuronalcellscan indirectlymodulatetheeffectsoftDCSonexcitatoryneurons,andalsothatthroughdirectactionsonexcitatoryneurons,thesecellstypeswillbeindirectlyaffected.Adirecteffectoninterneu-ronsandnon-neuronalcellsispossiblebutatthistimespeculative.(AdaptedfromBikson,M.etal.,Conf. Proc. IEEE Eng. Med. Biol. Soc.,1,1616,2006.)
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cortical surfacecanmodulate spontaneousneuronalactivity inapolarity-specificmanner,with inwardcurrent(corresponding tosomaticdepolarization) increasingfiringrate,andoutwardcurrent(correspondingtosomatichyperpolarization)reduc-ingfiringrate(Creutzfeldtetal.1962;Bindmanetal.1964;PurpuraandMcMurtry1965;Gartside1968);becauseofthedependenceontheneuronaltarget,werefertothisasthe“somaticdoctrine.”Indeed,moderntDCSwasmotivatedbyneurophysi-ologic studies showing thatanodal/cathodal tDCS increase/decrease, respectively,responsestoTMSevokedcorticalandmusclepotentials,whichisconsistentwiththeaforementioned“somaticdoctrine”(NitscheandPaulus2000).Extensiveclini-calandcognitive-neurosciencestudieshavebeenlargelyrationalizedbasedonthesomaticdoctrine.However,despitepositiveoutcomesfrommanyofthesestudies,emergingevidencesuggeststhatneuromodulationbytDCSmaybemorecomplex;stemminglargelyfromtherecognitionthatbrainfunctionisevidentlynotamono-lithic“slidingscaleofexcitability.”
Modern animal research is beginning to explicate howmodulationby tDCScannotbeexplainedasamonolithic“sliding-scale”ofexcitability (anode=up,cathode=down).Brainfunction/diseaseandsoitsinfluencebyDCstimulationiscomplex.Neitherpolarizationofdendritesofsynapticterminalscanbeignored,whichmay result indifferentialmodulationof specific synaptic inputs.This inturn,mayleadtodistinctformsoftDCS-inducedplasticity.Moreover,whichneu-ronalprocessesareaffectedandhow,willdependonthetDCSmontageusedandthestateoftheunderlyingnetwork.TherationaladvancementoftDCSrequiresdepartingfromthesliding-scaleapproach(appliedindiscriminatelyacrosscogni-tiveapplicationsandindications)andaddressingthesemechanisticandtargetingissues.Withincreasedrecognitionofcomplexity,theneedfortranslationalanimalstudies,thatareproperlydesigned,becomesincreasinglyclear.Atthesametimes,theseissuesmaketheinvestigationdaunting.Ourapproach,reflectedgenerallyintheorganizationofthisreviewhasbeentoconsiderchangeson“3-tiers”:neuronalcompartment polarization, synaptic processing, and network effects. While thebrainfunctionisevidentlyunderstoodtospantheseintegratedtiers,thischapterintroduceshowa3-tierapproachcanalloworganizationofconceptsandframingofhypothesis.
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author Queries
[AQ1]Pleasefixaandbforthefollowingreferencecitations:Liebetanzetal.(2006),PurpuraandMcMurtry (1965),Gartside (1968),Radmanetal. (2007),andHubbardandWillis(1962).
[AQ2]Pleasecheckandupdatethecrosscitation“seeconventionsbelow.”[AQ3]Pleasecheckiftheedittothesentencestarting“describemoderneffortsto
quantifysomaticpolarization…”isok.[AQ4]PartlabelnotprovideinFigure3.2.Pleasecheck.[AQ5]Pleasecheckiftheunitumiscorrect.[AQ6]Pleasecheckandupdate thecrosscitation“seeaxon terminalpolarization
below.”[AQ7]Pleasecheckiftheedittothesentencestarting“Atthesinglecelllevelwe..”
isok.[AQ8]Pleasecheck theeditsmade to the journal title inBiksonet al. (2006) for
correctness.[AQ9]PleasecheckandupdateFritschandHitzig(1870).[AQ10]Pleaseprovidevolumeandpagerangeforthefollowingreferences:Marquez-
Ruiz et al. 2012,Peterchev et al. 2011,Ruohonen andKarhu2012,Yoonet al.2012.
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