dunham, james p. and hulse, richard p. and donaldson, lucy ... · donaldson, lucy f. (2015) a novel...
TRANSCRIPT
Dunham, James P. and Hulse, Richard P. and Donaldson, Lucy F. (2015) A novel method for delivering ramped cooling reveals rat behaviours at innocuous and noxious temperatures: a comparative study of human psychophysics and rat behaviour. Journal of Neuroscience Methods, 249 . pp. 29-40. ISSN 1872-678X
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Anovelmethodfordeliveringrampedcoolingrevealsratbehavioursatinnocuousand
noxioustemperatures:Acomparativestudyofhumanpsychophysicsandrat
behaviour.
JamesP.Dunham1,RichardP.Hulse
1,2andLucyF.Donaldson
1,3.
1.SchoolofPhysiologyandPharmacology,MedicalSciencesBuilding,UniversityWalk,Universityof
Bristol.
2.CancerBiology,SchoolofMedicine,UniversityofNottingham,Nottingham.NG72UH(present
address).
3.SchoolofLifeSciencesandArthritisResearchUKPainCentre,UniversityofNottingham,University
Park,Nottingham.NG72RD(presentaddress).
CorrespondingAuthor:
JamesP.Dunham.HonoraryResearchAssociate,SchoolofPhysiologyandPharmacology,Medical
SciencesBuilding,UniversityWalk,UniversityofBristol.
Numberofpages33
NumberofFigures:6
NumberofTables:0
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Abstract
Background
Thermalsensorytestinginrodentsinformshumanpainresearch.Thereareimportantdifferencesin
themethodologyfordeliveringthermalstimulitohumansandrodents.Thisisparticularlytrueincold
painresearch.Thesedifferencesconfoundextrapolationandde-valuenociceptivetestsinrodents.
NewMethod
Weinvestigatedcooling-inducedbehavioursinratsandpsychophysicalthresholdsinhumansusing
rampedcoolingstimulationprotocols.APeltierdevicemounteduponforcetransducers
simultaneouslyappliedarampedcoolingstimuluswhilstmeasuringcontactwithrathindpawor
humanfingerpad.Ratwithdrawalsandhumandetection,discomfortandpainthresholdswere
measured.
Results
Rampedcoolingofarathindpawrevealedtwodistinctresponses:Briefpawremovalfollowedbypaw
replacement,usuallywithmoreweightbornethanpriortotheremoval(temperatureinter-quartile
range:19.1oCto2.8
oC).Fullwithdrawalwasevokedatcoldertemperatures(interquartilerange:-
11.3oCto-11.8
oC).Theprofileofhumancooldetectionthresholdandcoldpainthresholdwere
remarkablysimilartothatoftheratwithdrawalsbehaviours.
Comparison
Previousratcoldevokedbehavioursutilisestatictemperaturestimuli.Byutilisingrampedcoldstimuli
thisnovelmethodologybetterreflectsthermaltestinginpatients.
Conclusion
Briefpawremovalintheratisdrivenbynon-nociceptiveafferents,asistheperceptionofcoolingin
humans.Thisisincontrasttothenociceptor-drivenwithdrawalfromcoldertemperatures.These
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findingshaveimportantimplicationsfortheinterpretationofdatageneratedinoldercoldpainmodels
andconsequentlyourunderstandingofcoldperceptionandpain.
Keywords:pain,behaviour,rat,human,cold,nociception
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1 Introduction
Coolingevokedbehavioursinrodentsareoftenstudiedwiththeaimofinformingourincomplete
understandingofthermalperceptioninhumans.Thiseffortishamperedbysignificantdifferencesin
themethodologyusedwiththedifferentspecies.Theutilityofresultsgeneratedinrodentswith
respecttotheaboveaimcan,therefore,bequestioned.Thusthereisaneedtobetterunderstandthe
relationshipsbetweencoolingevokedbehavioursinrodentsandcoolingevokedsensationsinhumans.
Inhumanpsychophysicalexperiments,rampedcontactcoolingisdeliveredviaathermode,usually
usingdevicessuchasthosemadebyMEDOC(http://www.medoc-web.com/medoc_en_home.aspx)or
SOMEDIC(http://en.somedic.com/default.asp?pid=29).Importantly,applicationoframpedcoolingto
skinenablesdeterminationofthresholdsforcolddetectionandpaininhealthyindividualsand
subsequentlythedefinitionofpositiveandnegativesymptoms/sensationsinpatients[1,2].
Contactthermalstimuli,oftenwithvaryingrampratesandfinaltargettemperatures,arealsousedin
pre-clinicalelectrophysiologicalexperimentsinsensoryprimaryafferentresearch[3-6].Thisenables
captureofthermalthresholdstoneuronalactivationandtheresponsestosuprathresholdstimuli.
Incontrast,behaviouralexperimentationinanimalsutilisessignificantlydifferentcoldstimuli.These
include;coldplates(statictemperature),evaporativecooling,orplacepreferencetests[7-10].The
mostcommonoutputsaretime-related,e.g.latencytobehaviour(pawwithdrawal[11]lickingor
flinching),behavioursperunittime[7,12]ortimespentinaparticularlocation.Itisrarethatthermal
behaviouralthresholdspersearemeasuredinanimals,althoughdecreasingtemperatureplateshave
beendescribed[13],enablingdifferentiationbetweencoldallodyniaandcoldhyperalgesia.Most
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thermaltestsmeasurehyperalgesia,butmilderinterventionssuchasevaporativecoolingofacetone,
havealsobeenusedtoelicitallodynicbehaviours[8,14].
Afurtherimportantconsiderationisthatasrampedcoolingisalmostneverusedinrodentstudies
therearenodataregardingbehaviourselicitedduringthetransitionbetweeninnocuousandnoxious
cooling.Giventhatanyputativebehavioursarelikelytobedifferentandthatthistransitionmustoccur
(albeitmorerapidly)whenusingroutinecoldstimulisuchascoldplates;moredetailedconsideration
ofsuchbehavioursandtheimpactthattheymayhavehadontheinterpretationofpreviousworkis
warranted.
Furtherstill,mostcoolingevokedbehavioursareelicitedviacoolingdeliveredtoallfourpaws;thetail
andalsotheabdomen(andtestesinmales).Thus,inadditiontonociceptivereflexesthatmaybe
present,theobservedbehaviourswillalsobeinfluencedbymechanismsinvolvedinmaintainingbody
temperature(homeostasis)[15]andmaybecomplicatedbyfear/avoidancebehavioursevokedbyan
inescapable,potentiallynoxiousstimuli.TheHargreavestest[11,16],byrestrictingheatstimulationto
asinglepaw,removedtheseconfoundsinheatnociceptivetesting.
Theaimofthisstudywastodevelopmethodologytoaddressthesediscrepanciesbetweenrodentand
humancoldtestinginordertobetterapplyknowledgegainedinthelaboratorysettingtohumancold
perceptionandpain.Toachievethis,thesamecoolingstimuluswasusedtoevokebehavioursin
healthyratsandsensationsinhealthyhumans.Wedeliveredrampedcoolingtoasinglerathindpaw
anddeterminedcontacttemperaturesatwhichcoolinginducedbehavioursoccur.Thismethodwas
usedinparalleltodeterminecooldetection,colddiscomfortandcoldpainthresholdsinhealthy
humans.
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2 MaterialsandMethods
2.1 Apparatusfordeliveringrampedthermalstimulitoglabrousskininhumansandrats
Theapparatususedinallexperimentswasdesignedandbuiltin-house,astherewasnoavailable
commercialapparatusthatcouldreproduciblyandreliablystimulatebothratandhumanglabrousskin
toenablemeasurementofequivalentthermalthresholds.
APeltierunit(Supercool,Gothenburg,Sweden,(cat.no.131-10-13);40mmx23mmx3.6mm)was
attachedwiththermallyconductiveadhesive(ArcticSilver5,fromArcticSilverCA.USA)toan
aluminiumheatsink.ThePeltierandheatsinkmodulewasmounteduponforcetransducers(FSseries
ForceTransducer,RadiosparesUK,catno.235-6210),whichenabledmeasurementoftheprecise
temperatureatwhichtheforcetransducerswereunloaded.Thesurfacetemperatureoftheunitwas
recordedviaaTTypethermocouplemountedonacopperplateaffixedwithArcticSilverTMtothe
uppersurfaceofthePeltierdevice.Duringcooling,theheatsinkwasflushedwith50:50ethylene
glycol:water,pre-cooledto-10oC.Thisenabledrapidandlargereductionsintemperature.During
heatingexperiments,theheatsinkwasflushedwithcoldwater.ThePeltierdevicewasdrivenfroma
controlsystembuiltinhouse,whichenabledfinecontroloflinearheatingandcoolingrates.
Thermocoupleandforcetransduceroutputswereamplifiedandfedintoamicro1401analogueto
digitalconverter(CambridgeElectronicDesign).DatawererecordedonaPCusingSpike2v6
(CambridgeElectronicDesign)forsubsequentofflineanalysis(Figure1).
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2.2 Determinationofthermalthresholdsinrats
AllexperimentsinvolvedmaleWistarrats(250-350g,Harlan,UK)andwerecarriedoutwithUniversity
ofBristolEthicalReviewPanelapprovalandinaccordancewiththeUKAnimals(ScientificProcedures)
Act1986.ThismanuscriptwaspreparedwithreferencetotheARRIVEguidelines[17].Animalswere
housedinenrichedenvironments,under12:12hourlight:darkconditionsandhadadlibitumaccessto
foodandwater.Priortoexperimentaltesting,animalswerehabituatedtoboththetestingapparatus
andtotheinvestigators.
RatswereplacedinaPerspexenclosuresimilartothatusedinLintonInstrumentation’sIncapacitance
tester(http://www.lintoninst.co.uk/).Theysettledintoapositionsuchthatthehindpawswerein
contactwiththePeltierdevice(Figure1A,C).Occasionallyitwasnecessarytomakeminoradjustments
tothepositionofthepaws.Oncetheanimalwassettled,thermalstimuliwereappliedtotheglabrous
hindpawskin,fromaholdingtemperatureof25oC.Inthreerats,heatingwasdeliveredatarateof
1oC/s,untilwithdrawal,uponwhichtheplatetemperaturewasreturnedtobaseline.Thisprocesswas
repeatedupto4timesperrat.Intenrats,coolingwasdeliveredatarateof-1.3oC/sandcontinued
untiltheanimalshiftedtheweightoffthecooledhindpaw,denotingwithdrawalfromthestimulus.
Thelowestachievabletemperaturewas-12oCwhichwasthereforeeffectivelythecut-offtemperature.
AfterstimulationthePeltierdevicetemperaturewasreturnedtobaseline.Asecond,andoccasionallya
third,rampwasthendeliveredwithaninter-stimulusintervalnolessthan3minutes.Occasionallyit
wasnecessarytorepeatrampsif,forexample,theratturnedaroundintheboxthusremovingthe
hindpawfromcontactsurface.
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Fouradditionalratsweretestedwithvariablecoolingratesof-0.5,-1,-2and-4oC/s.Otherthanthe
differentrates,theseexperimentswereperformedasdescribedabove.
Attheendofthebehaviouraltestingthepawsoftheratswereinspectedforsignsofinjuryincluding
erythemaandoedema.
2.3 Relationshipbetweensurfaceandsubcutaneoustemperatures
Behaviouralwithdrawaltocontactheatingisknowntodependonthesubcutaneousheatingrate[18].
Itwasthereforenecessarytoevaluateboththerateofsubcutaneouscoolingandtheabsolute
subcutaneoustemperatureachievedduringtherodentexperiments.Inordertodeterminethe
subcutaneoustemperaturesatwhichcoolingbehavioursoccurred,oneanaesthetisedadditionalrat
wasused.Anaesthesiawasinducedandmaintainedwithsodiumpentobarbitone(induction:60mg/kg
intraperitoneal,maintenance:20mg/kg/hr(intravenous)andthetracheawascannulatedforairway
maintenance.AT-Typethermocouple(madein-house)wasinsertedsubcutaneouslyintotheplantar
skinofonehindpaw.Theanaesthetisedratwasthenpositionedintherestrainingbox(Fig1C)with
hindpawsfirmlyincontactwiththePeltierunit,andthePeltierdevicewascooledatdifferentrates.
Thesubcutaneouspawtemperaturesthatcorrespondedtothecontacttemperaturesweredetermined
foreachramprate.
2.4 Determinationofthermalthresholdsinhumanvolunteers
ThestudywasgivenethicalapprovalbytheFacultyofMedicalandVeterinarySciencesCommitteefor
ResearchEthics,UniversityofBristol.Participantsgaveinformedconsentpriortotesting.
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Participantswereexcludedfromthestudyiftheysufferedanyneurologicalorotherproblemsthat
couldaffecttheirabilitytodetectorrespondtocutaneousthermalnoxiousstimuli.
Tenhealthyparticipants(5male,5female,26.4yrs±1.2(meanage±SEM))wererecruited.No
participantwassubsequentlyexcludedforanyreason.
Participantswereacclimatisedtothetestingfacilitypriortotesting.Theprotocolwasexplainedto
themsotheywereawareoftheprocedure,andtheywereexposedtoafamiliarisationramppriorto
testing.
ParticipantswereaskedtoplacethepadoftherightindexfingeronthePeltiersurface,whichwas
initiallyheldat30oC.Theinstructionsweretorest/placethefingertipuponthecoolingsurfaceand
nottoexertanyspecificforce[19].Aftermorethan10secondshadelapsed,theinvestigatorinformed
themthattherampwouldbeginwithinthefollowing10seconds.Participantswereaskedtosaywhen
theydetectedthetemperaturechange(detection)andwhentheydetectedthetransitionintoan
uncomfortablesensation(discomfort).Inputfromafootpedalwasusedtocapturedetectionand
discomfortthresholds.Participantswereinstructedtoremovetheirfingerfromtheequipmentwhen
thesensationbecamepainful;thiseventwasrecordedviatheforcetransducer.Followingwithdrawal
theequipmenttemperaturewasreturnedto30oC.Theheatingratewas~1
oC/s,whereascoolingrate
was-1.3oC/s.Thesamerampwasappliedthreetimes.
Immediatelyaftereachtest,participantswereaskedtochoosetwodescriptorsfromapredefinedlist
thatindicatedthebestdescriptionofthesensation(s)theyexperiencedatwithdrawal(i.e.thequality
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ofthepain).Thedescriptorslistwasconstructedwithreferencetopreviouspsychophysicalstudies
[20-22].Fourparticipantsfounditdifficulttogivetwodescriptorsforeachramp.Whenthisoccurred,
thesingledescriptorornodescriptorswererecorded.Oneparticipantforgottoprovidedetection
thresholdson2of3ramps.Tokeeptestingnumberconsistentbetweensubjects,andtocomplywith
ethicscommitteeapproval,theserampswerenotrepeatedinthissingleindividualanddatawere
includedasanincompleteset.
2.5 Statisticalanalysis
Prism4forWindows(Version4,Graphpad)andSPSS(version18;IBM,Armonk,NY)wereusedfor
statisticalcomparisons.Dataarepresentedorshownasmean±standarderrorofthemean(SEM)or
median(interquartilerange(IQR))asstated.Thresholdandwithdrawallatencyatinitialandfull
withdrawal(rats)werecomparedusingMannWhitneytests.Meantemperaturesandlatenciesfor
evokedbehavioursatdifferentcoolingrates(rats)andhumanpsychophysicalandratbehaviouraldata
werecomparedusinganon-parametric1wayANOVA(KruskalWallis)followedbyDunnsposthoctest.
Thresholdsinhumanparticipants(colddetection,discomfortandnoxiouswithdrawal)werecompared
using1wayrepeatedmeasureANOVAfollowedbyBonferroni’sposthoctest,unlessexplicitlystated.
Wheninvestigatingtheeffectofcoolingrateonevokedbehaviours,alineartestfortrendwas
additionallyperformedasaposthoctestfollowing1wayANOVAanalysisofthelog-logtransformsof
thelatenciestoinitialandfullwithdrawalatthedifferentrates.
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Subcutaneoustemperaturesduringcoolingatwhichinitialandfullwithdrawaloccurredwere
interpolatedofflinefromthedatameasuredinun-anaesthetisedrats.
Hierarchicalclusteringofthelatenciesofallbehavioursinducedduringcoolingat-1.3oC/swas
performedusingtheWardmethodandtheSquaredEuclideandistancemeasureinSPSS.Theoptimum
numberofclusterswasdeterminedviaexaminationoftheagglomerationcoefficients.SPSSwasthen
usedtoassignclustermembershiptotheindividuallatencies.Frequencyhistogramsofcluster
membershipswerethengeneratedusingPrism.UsingSPSS,atwo-clustersolutionwasthenappliedto
temperaturesofallbehavioursinducedbycoolingat-1.3oC/s.Thefrequencyhistogramsofbehaviours
vstemperaturewerethengeneratedinPrism.Itshouldbenotedthatclusteranalysisdoesnotprovide
astatisticthatcanbeusedtodeterminetheprobabilityofthedatasetcontainingacertainnumberof
clusters.
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3 Results
3.1 Heatingresponsesinratsandparticipants.
Heatingofthefingerpadoftheindexfingerofthehumanparticipantseliciteddetection,discomfort
andwithdrawalthresholdsof38.1oC±1.5
oC,47.4
oC±1.2
oCand49.8
oC±0.9
oC(Mean±SEM)
respectively(Figure2A,2C).Heatingoftheplantarsurfaceofasinglerathindpawelicitedarobust
withdrawalresponseat47.8oC±0.4
oC(Mean±SEM)(Figure2B,2C).Whilsthumandetection
thresholdsoccurredatsignificantlylowertemperaturesthanratwithdrawal,nodifferenceswere
foundbetweenhumandiscomfort,humanwithdrawalandratwithdrawaltemperatures(Figure2C).
3.2 Coolingresponsesinrats
Coolingstimuliwereappliedfollowingtheabovevalidationofthismethodofdeliveringanisolated
thermalstimulustoasinglerathindpaw.Coolingofonehindpawelicitedtwodistinctbehavioursin
therat.Thesebehaviourswereidentifiedbyobservationandcouldalsobeseenintheweightbearing
profile,shownasrawdatainFigure3A.Initialbriefpawremovals,thatwerenotsustained,were
usually,butnotalways,seenasthecontacttemperaturedecreased.Thisinvolvedabriefremovalof
thepawfromtheplate(1-2sduration),whichwasthenreturned,oftensubsequentlybearingmore
weightthanbeforedespitethecontinuedloweringofcontacttemperature(Fig.3A).Thisincreasein
weightbearingonthestimulatedpawwasnotseenintheresponsestoheating.Asthetemperature
continuedtodecrease,afullwithdrawalwasevokedasthepawwasremovedfromtheplateand
remainedlifteduntiltheplatewasre-warmed(Fig.3A).Whenpawremovalsweregroupedinto
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”initial”iftheywerenotsustained,and”full”whenthepawliftwassustainedasdeterminedbythe
trace,theninitialbriefandfullremovalsoccurredatcontacttemperaturesof14.3oC(2.8
oCto19.1
oC)
and-11.7oC(-11.3
oCto-11.8
oC)respectively(median(inter-quartilerange)).Fullwithdrawaloften
occurredattemperaturesapproachingthelowestthatwereachievable(approximately-12oC,Fig.3B).
Thedifferencesinwithdrawaltemperatureswerereflectedinwithdrawallatencies(initial11.6s(8.2s-
20.0s),fullwithdrawal33.5s(31.3s-36.4s)).Thevariabilityinthelatencytofullwithdrawalwasgreater
thanthatseeninthevariabilityintemperatureatfullwithdrawal.Thisprobablyreflectsevents
occurringaftertheattainmentofthelowestpossibleplatetemperature.Thelatencieswerealso
significantlydifferentbetweeninitialandfullwithdrawalvalues(Fig.3C).
Itwasevident(Figs.3B,C)thatthetemperaturesatwhichinitialpawremovaloccurredoverlapped
withthosetemperatureselicitingfullwithdrawal.Todeterminewhetherhindpawcoolingdidindeed
evoketwodistinctbehavioursintherat,whethertheinitialandfullwithdrawalswereacontinuumof
thesamebehaviour,orwhethersubjectiveexperimenteropinionwasinfluencinginterpretation,
latenciesandtemperaturesweresubjecttoclusteranalysis.Examinationoftheagglomeration
coefficientsforlatenciesmoststronglysupportedamodelwith2clusters,althougha3or4cluster
modelcouldnotbediscountedfromtheagglomerationcoefficientsalone.Examinationofdifferent
clustersolutions(i.e.2,3or4clusters)alwaysgeneratedafirstclusterwithamedian(I.Q.R)latencyof
11.7(8.6to14.3)seconds(initialremoval)andthisclusteralwaysincludedthesamenumberofdata
points,suggestingthatthetwobehaviourswereindeeddistinct.Usingatwoclustermodelgavea
median(I.Q.R)latencyforthesecondclusterof28(23.4to31.7)seconds.Threeandfourcluster
modelsallsplitthelongerlatencycluster(fullwithdrawal)intoadditionalsubclusterswithnoeffecton
thefirstcluster(Fig.3E).Furthermore,thefirstclusterinthetwoclustersolutionfortemperaturevs.
responsescontainedasimilarnumberofresponsesasthefirstclustergeneratedusinglatencies:38
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datapointsfortemperaturesvs.36datapointsforlatencies.Thisgeneratedafirstclusterwitha
median(I.Q.R.)temperatureof13.6(18.8to10.3)oCandasecondclusterwithamedian(I.Q.R.)
temperatureof-8.1(-2.5to-12.3)oC(Fig.3D).
Therateofcontactheatingandsubsequentsubcutaneousheatingrateinratsaffectsdifferentgroups
ofnociceptiveafferents[18].Wethereforedeterminedtheeffectofdifferentcoolingratesonthe
evokedratbehaviours.
Increasingtherateofcoolingfrom-0.5to-4oC/sreducedthelatencytobothinitialbriefremovaland
fullwithdrawal(Figs4A&4B),butdidnotaffecttheskintemperatureatwhichinitialorfullremoval
occurred(Figs4C&4D).Interpolationofthesubcutaneoustemperatureatwhichbehaviourswouldbe
expectedtooccur,asderivedfromtheskinandsubcutaneoustemperaturesintheanaesthetisedrat,
generatedsubcutaneousmeaninitialremovaltemperaturesofapproximately5oCto10
oC(Fig.4E).
Thesewerehighlyvariable,asseenfortheskincontacttemperatures(Fig.3B).Notably,interpolated
subcutaneoustemperaturesatfullwithdrawalweremuchlessvariable,meanwithdrawal
temperatureswere~-2oC(Fig.4F).
Thesubcutaneoustemperaturewaslinearlyrelatedtothesurfacetemperatureandthislinear
relationshipwasidenticalforrateofcoolingfrom-0.5oC/sto-2
oC/s.Atthefastestrateofcooling,-4
oC/s,thiswasnolongerthecase,andsubcutaneoustemperatureswereslightlyhigherthanwouldbe
predictedfromalinearrelationship(Fig.4G).
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3.3 Coolingresponsesinparticipants
Inhumanstudies,participantsindicateddetectionanddiscomforttocoolingandthiswascapturedon
therawtraceviaafootpedalinput.Fingerremovaloccurredwhenthesensationbecamepainful(Fig.
5A).Coolingdetectionoccurredat24.9oC(26.3
oCto19.5
oC)(median(IQR)),discomfortat-1.2
oC(1.2
oC
to-5.9oC)andnoxiouswithdrawal-6.3
oC(-3.5
oCto-10.3
oC)(Fig.5B).Notably,coolingdiscomfortand
noxiouswithdrawalwerenotevidentuntilskincontacttemperatureswerelessthan0oC.Themost
frequentwordschosentodescribethesensationevokedatnoxiouscoldwithdrawalwere“cold”‚
“numbing”and“freezing”(Fig.4C).
Duetothemismatchbetweenhumanandrodentstudiesoncoldnociception,oneaimwasto
determinewhetherratbehaviourscouldberelatedtopsychophysicalcorrelatesinhumans.Asthere
werepotentialdifferencesinskinthicknessandthermaltransferbetweenratsandhumansandwe
couldnotdirectlymeasuresubcutaneoustemperaturesinhumans,andmanyratwithdrawalsoccurred
atthecut-offtemperaturewhereashumansdidnot,wecomparedlatencytowithdrawalratherthan
contacttemperatures.Comparisonshowedthatratfullwithdrawalandpain-evokedwithdrawalin
humansoccurredatasimilarlatencyinbothspecies(Fig.6A-C),indicatingthatthismethodof
stimulationelicitednociceptioninbothspeciesatequivalenttimesafteronsetofcoldramping.In
addition,initialremovallatenciesinratswereequivalenttocolddetectionlatenciesinhumans(Fig.
5C).Probablymostcrucialisthattheprofileofresponsestoreducingtemperatureiscomparable
betweenthetwospecies.
Interestingly,latencytonoxiouscoldwithdrawalinhumanswasnotclearlydistinguishablefrom
latencytocolddiscomfortinhumansorfromlatencytofullcoldwithdrawalsinrats.Therewasalsono
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statisticaldifferencebetweenlatenciestocolddetection/initialremovalsinhumansandrats
respectively(Fig.5C).Thissupportstheinterpretationthattheinitialpawremovalresponsesinratsare
associatedwithnon-noxiousratherthannoxiouscold.Thevarianceofbothcoldmeasures(initialand
fullwithdrawals)intheratwassignificantlygreaterthaninthehumanmeasures,i.e.initialrat
responsestorampedcontactcoldstimulationwerelessconsistentbetweentrialsthanthoseof
humans.
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4 Discussion
Theneurophysiologyofthermalperception,particularlythatofcoldpain,iscomplex.Multipleafferent
populationsandascendingpathwaysinformperceptionandbehaviouralresponses[23],and
processing,particularlyofnoxiouscoldinformation,isalsoinfluencedbydescendingmodulationfrom
brainstemcentres[24-26].Furthercomplexityisaddedtointerpretationoffindingsbymethodological
differencesbetweenstudies,includingstimuli(magnitude;area;skintype)andoutcomes
(psychophysics,behaviour,neuronalproperties,imaging).Overarchingalloftheabovearepossible
differencesbetweenspecies.
Thiscomplexsituationhasledtoassertionsandpossibleover-simplifications,which,especiallywhen
takenoutofcontextoftheoriginalwork,canbecontradictorytoeverydayexperience.Forexample,it
iscommonlyreportedthathumanshaveacoldpainthresholdofnearto14oC,afigurewhichhasbeen
usedtorelateperceptiontothefunctionofindividualputativetransductionmolecules[27].However,
itisnotusuallypainfultohandleabottleofmilkfromafridgeat4oCanditispossibletohandlefrozen
foodsfromadomesticfreezer(-20oC)forshortperiodsoftimewithoutsufferingpain,althoughitcan
beuncomfortable.
Wesoughttoaddressthemismatchbetweenexperimentalconclusionsinratsandhumans,and
everydayobservationsoncolddiscomfort/pain,andtocomparecoldbehaviouralresponsesinhumans
andratsbyusingequivalentcoldrampingstimuliinbothspecies.
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Initialexperimentssoughttovalidatethisnovelmethodofdeliveryofthermalstimuli.Thiswas
possiblewithreferencetopreviouslypublishedheatwithdrawalthresholdsinrats.Heatwithdrawal
thresholdsreportedhereofcirca48oCareremarkablysimilartothe47.6
oC±0.2
oCgeneratedutilising
thermalstimulifromaradiantheatinglamp[16],acomparablethermalstimulus.Furthermore,andas
notedbyBanikandKabadi,2013[16],thesewithdrawaltemperaturesarecomparabletothose
generatedinhumans(datahereinande.g.47.5oC,[28]).Theratheatthresholdsreportedhereare
somewhatlowerthanthosereportedusingasimilarmethodofmeasuringheathyperalgesiadescribed
byTaboandcolleagues(1998).ThismethodcombinedforcemeasurementwithaPeltierthermodebut
theforcetransducersrecordedtheforceofwithdrawalandnottheweightbornebythepaw[29].
Giventhesepositivevalidationexperiments,wewerethenabletoexploretheunknowneffectsofthe
applicationoframpedcoolingstimuli.Inequivalentskintypes,bothspeciesdemonstratedthatthey
wereabletorespondtotheonsetofcoolingfromambientatequivalentlatencies/temperatures,and
thisoccurredattemperaturesnotperceivedaspainfulbyhumans.Wethereforehypothesisethatthe
initialbriefpawremovalseeninratsisnotanocifensivebehaviour.Thishypothesisisstrongly
supportedbythenewobservation,whichisonlypossibletomakeusingthisnovelapparatus,that
moreweightisbornebythepawafteritisreplaced,duringtheseinitialbehaviours.
Itisinterestingtonotethatcoldinducedvasoconstrictionduringcoolingofisolatedpawsoccursinthe
ratatapproximately22oC[30].Itcouldbethatthebriefremovalfromthecoolingsurfacerepresentsa
homeostaticresponsetocooling,asrodentpawsandtailarecriticalformaintenanceofbody
temperatureintherat[31].Intherat,withoutthebenefitoftheadditionalinformationonincreased
weightborneonthecooledhindpawafterthesemovements,themoretransientbehavioursevoked
bynon-noxiouscoolingcouldeasilybemisinterpretedasafullwithdrawalresponse.Itonlybecomes
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apparentthatwithdrawalsaretransientwhenappliedtemperaturesaresubsequentlyloweredto
levelswherecompletewithdrawaloccurs.Ifatrialisterminatedoninitialpawremoval,thecold
thresholdwillberecordedatahighervalue.Indeed,noxiouscoldthresholdsinratsareoftenquotedat
valuesmuchwarmerthanthosewereport(e.g.circa4or5oC[7,12]),intherangeinwhichmostofthe
briefpawremovalsoccurred.
Theinitialpawremovalisclearlydifferentfromtheovertfullwithdrawalsevokedbylowercontact
temperaturesthatmostobviouslycorrelatewiththenoxiouscoldthresholdsmeasuredinhumans.
Suchwithdrawalsoccurattemperaturessimilartothosethatevokewithdrawalinlightlyanaesthetised
animalswhich,bydefinition[32],arenociceptordriven[24,33].Thisfullwithdrawalbehaviourand
thecorrelateinhumansisthereforemorelikelytobedrivenbycoldnociceptors,andmaybean
appropriatemeasuretouseinpreclinicalcoldevokedpainresearch.Itshouldalsobenotedthatfor
bothbriefinitialpawremovalandnoxiouswithdrawals,theresponsesinratsaremuchmorevariable
thanthoseelicitedinhumans.Itisthereforecleartousthattheinterpretationofcold-evoked
withdrawalbehaviourinrodentsiscomplicatedbythemorecomplexwithdrawalbehaviourthanis
seenwithheatstimulation.
Asrateofcoolingincreased,latencytobehavioursdecreased,yetthetemperaturesatwhich
behavioursoccurredwasconsistent.Thisfindingsuggeststhatitistheabsolutetemperatureatthe
neuronalreceptor(subcutaneous/dermal/epidermaletc.)thatdrivesbothinitialandfullwithdrawals,
ratherthantherateofchangeofcutaneoustemperature.
Subcutaneoustemperaturemeasurementsindicatethatfullnoxiouswithdrawalbehaviours,inratsat
least,areevokedattemperaturesjustbelow0oC,withcontact/surfacetemperaturewellbelow0
oC.It
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iswellknownthatfreezingispainfulandmayleadtotissuedamage[34].Whetherthewithdrawal
behaviourdescribedherereflectsactualfreezingpainisdebatable.Therewasnoevidenceoftissue
damagetothepawaftertestingandnosensitisationofresponseswasseen,eventhoughbothwould
beexpectedfollowingtissueinjury.Furthermore,itmaybearguedthatnociceptivesystemsfunction
towarnofthepotentialforinjuryandthatthissystemwouldacttopreventsuchinjuryinanawake
animal.Itisalsoknownthatthermoregulatorymechanismsarebluntedunderanaesthesia[35]andit
isthereforepossiblethatthesubcutaneoustemperatureinawakeanimalswerenotaslowasinthe
anaesthetisedrat.
Whileitisdifficulttocompareourdatatopreviousworkbecauseofthedifferencesinmethodology,it
isinterestingtonotethatpreviouslyreportedcoldpainthresholdsinbothratsandhumansoccurred
atwarmertemperaturestothosereportedhere.Onthethenareminence,thresholdsarereportedas
between10oCand15
oC[20-22,36,37]thoughwithhighvariability[38],aswithotherskinsites,
whereasourdatashowthresholdssubstantiallylessthanzerooCinbothspecies.Wesuggestthatthese
differencescouldbeaccountedforbyacombinationoffactors,includinglackof
expectation/anticipationeffects[39,40]whenusinganescapablestimuluswhereterminationis
entirelyundertheparticipant’scontrol;asmallerstimulusareaandthereforereducedspatial
summation[41],andthelowercoldsensitivityofglabrousskin[21],inparticularthefingertipin
relationtootherskinsites[38].
Theaimofthisstudywastodevelopmethodologytoaddressdiscrepanciesbetweenrodentand
humancoldtestinginordertobetterapplyknowledgegainedinthelaboratorysettingtohumancold
perceptionandpain.Therearehoweverknowndifferencesbetweencool/coldprimaryafferentsin
rodentsandprimates.Asmentionedabove,whiledifferencesinstimulationprotocolsand
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preparationscomplicatecomparisonsbetweencutaneousafferents,similarpatternsofresponsesdo
emerge.Moststudiesreporttwomajorcoldsensitiveafferentpopulationsintherat,unitswithtonic
activityattheholdingtemperatureandpolymodalnociceptiveunitsthatalsorespondtomechanical
andoccasionallyheatstimuli[42-44].
Tonicallyactive“cool”unitsinratshavemaximaldischargeratesatvariabletemperatures,depending
onstimulationprotocol.Stepandholdprotocols,withaholdingtemperatureof32oCandcoolingto
12oC,showmaximaldischargeratesbetween27
oCand17
oC[42].Incomparison,arampprotocol
similartothatreportedherein(holdingtemperature30oC,-1
oC/srampcoolingto0
oC),demonstrated
maximaldischargeratesbetween10oCand25
oC[44]).Thesetonicallyactiveunitsrepresentonefifth
toonequarterofthesampledpopulation,andhavepredominatelyCfibres,withonlyafewconducting
intheAδrange[42-44].Anoticeabledifferencebetweentheseratcoolingreceptorsandthosein
primatesisthatprimatetonicallyactivelowthresholdcoolreceptorsconductintheAδrange[23,45].
AlthoughmodellingandischaemicblockssuggestthattheseAδafferentsarelikelytoberesponsible
fortheperceptionofcoolinhumans[37,38,46],therearealsoanumberofC-fibreafferentsthat
behaveverymuchlikethosefoundintherat(maximumfiringataround15oC),inhumans[47].
Incontrasttocoolingafferents,nociceptiveafferentsaresilentatnormalskin/holdingtemperatures
(e.g.30oC),havebothCandAδfibres,andreportedcoldthresholdsof12
oCto22
oC[42,44].Mostof
thesestudiesdonot,howeverexaminetheresponsesoftheseprimaryafferentstosub-zerocoolingin
vivo.AllnociceptiveCandAδafferentswereexcitedwhencoolingtosub-zerotemperatures
(thresholdsbetween12oCand-6
oCandbetween0
oCand-12
oCrespectively)[5].AllAδnociceptors
respondedtolowtemperaturecoolingandencodedstimulusintensity,bothintermsofafferent
recruitmentandfiringfrequency,downtoatleast-12oC[6].Asignificantproportion(~40%)ofhuman
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C-fibrepolymodalnociceptorsalsorespondtocoldtemperatures(between19oCand0
oC).Itisalso
interestingtonotethatthissecondpopulationhadaveryvigorousresponsetofreezing[48,49].
Withthesedifferencesandsimilaritiesinratandhumancoldafferents,wespeculatethatcold
detectioninhumansismediatedbyAδfibresbutinrat,manifestedbytheinitialwithdrawals,itis
mediatedbythefunctionallysimilarratCfibrecoolfibres,basedonthetemperaturesatwhichthese
fibresshowmaximalfiring[23,37,38,45,46].Thediscomfortandpainfulwithdrawalinbothspecies
wouldappeartobemediatedbythenociceptiveAδfibreafferentsthatareactivatedatsubzero
temperatures,butthereisprobablyalsoacomponentfrompolymodalCfibrecold-responsive
nociceptors[5,6,48,49].
Toestimatethetemperaturechangeatthereceptorterminal,weinterpolatedthesubcutaneous
temperaturechangefromdataobtainedinanaesthetisedrats.Thetemperaturechangeattheafferent
receptorsisdependentnotonlyupontheappliedtemperatureofthePeltierdevice,butalsoother
factorssuchascontactpressure,bloodflowandotherphysicalandphysiologicalcompensatory
mechanisms[19].Contactpressureincreasedasratsshiftedmoreweightontothecooledpawafter
theinitialwithdrawals.ThiscouldincreasetheskinareaincontactwiththePeltier,possiblyreducing
thedistancebetweenreceptorandPeltierbycompressingtheskin.Localbloodflowcouldbereduced
bythisbehaviour,whichwouldalsothenaffectheat/coldtransfer,andsoincreasedpawpressure
couldincreasetissuecooling.Itispossiblethatthisincreasedcontactoninitialisinvolvedinimproving
coolingdetection.Interestingly,thepawpressureincreaseswerenotseenduringtheheating
experiments,indicatingacooling-specificbehaviour,ratherthannon-specificresponsetopaw
temperaturechange.Inhumans,weattemptedtomitigateasmanyofthesepotentialconfounding
factorsaspossible,byinstructingparticipantstoplacetheirfingeronthetestingdevicewithonlylight
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23
contactpressure.
Finally,thereareobviouslyinherentdifficultiesinrelatingpsychophysicaloutcomesinhumansand
behaviouraloutcomesinrats,notleastthatratslacksomeneuroanatomicalstructureswithinthe
forebrainthatarecrucialtothehumanexperienceofpain[50].However,withdrawalbehavioursinthe
rataredrivenbyafferentpopulationsthatappeartohaveequivalentcounterpartsinhumans[42].
Giventhatamajorreasontoundertakeresearchinexperimentalanimalsistoinformandimprove
humanpainmanagement,webelievethatthetwospeciesshouldbeinvestigatedinparallel,to
highlightsimilaritiesanddifferences.
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5 Conclusions
Wehaveusedanovelmethodofmonitoringbehaviouralandpsychophysicalresponsestocoolingand
noxiouscoldinbothratsandhumans.Bydeliveringrampedcoolingourtechniquemoreclosely
reflectscurrentlyusedclinicalprotocolsandthusfacilitateshumancomparativestudies.Thisapproach
hasrevealedacoolinginducedbehaviourintheratthatisunlikelytobedrivenbynociceptive
afferents.Ithasalsorevealedthatfullwithdrawalfromcoldstimulirequiresmuchcolder
temperatures,andthussubcutaneoustemperatures,thanhavepreviouslybeenemployed.Thiswork
hasimportantimplicationsfortheinterpretationofpastandongoingworkstudyingphysiologicaland
pathophysiologicalcoldpain.
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6 Acknowledgements
Wegratefullyacknowledgethefollowingformanyhelpfuldiscussionsandinvaluableinputinto
experimentalandequipmentdesignanddataanalysisandinterpretation:Prof.BruceMatthews,Prof
MaxHeadley,Mr.TonyMacdonald,Mr.DerekCarr,DrRogerWatkins,DrRochelleAckerleyandDrUta
Sailor.ThisworkwasfundedbytheUniversityofBristolandtheMedicalResearchCouncil(invivo
strategicskillsPhDstudentshiptoLFD).JPDisaFoulkesFoundationFellow2010.
7 Conflictofinterest
Theauthorsconfirmthattheyknowofnoconflictsofinterest.
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26
8 Figurelegends
Figure1.Behaviouraltestingapparatus.
A.Diagrammaticrepresentationofthetestingapparatuswitharatinposition.Individualthermal
modulesconsistofaPeltierdevice,heatsinkandforcetransducers.Therathindpawsarelocatedover
thesemodulesviathepositioningframe.ThetemperatureofthePeltierdeviceandtheoutputfrom
theforcetransducerisamplifiedandthencapturedviaCED’s1401whichinterfaceswithaPC.
B.Photographoftheapparatusillustratingthetwoplatesindependentlymountedonseparatethermal
modules.Inflowandoutflowtubingforcoolantfortheheatsinkscanbeseentotheleftofthe
photograph.Connectionstoamplificationandrecordingequipmentarevisibletotherightofthe
photograph.
C.PhotographofapparatusasabovebutincludingthePerspexpositioningboxandaratinsitu.
Figure2.Contactrampedheatingoftherathindpawelicitswithdrawalattemperaturesequivalentto
humandiscomfortandwithdrawalthresholds.
A.Human.Panelshowsatypicalexampleofadigitisedtraceoftherawdatageneratedfromtheforce
transducersundertheheatedindexfinger(toptrace,arbitraryunits),andthesurface/contact
temperatureofthePeltierdeviceincontactwiththefinger(lowertrace,oC),overtime(s).Detection,
discomfortandwithdrawalsareindicatedbytheverticalnumberedcursorsandthetemperatureread
fromthelowertraceasillustrated.Rateofheatingwascirca1oC/s.
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B.Rat.Panelshowsatypicalexampleofadigitisedtraceoftherawdatageneratedfromtheforce
transducersundertheheatedhindpaw(toptrace,arbitraryunits),andthesurface/contact
temperatureofthePeltierdeviceincontactwiththeplantarhindpaw(lowertrace,oC),overtime(s).
Withdrawalisindicatedbytheverticalcursor1.Temperatureisreadfromthelowertrace.Rateof
heatingwascirca1oC/s.
C.Mean(+SEM)datafromhuman(n=10)andrat(n=3)experiments.Humandetectionofheating
occursatasignificantlylowertemperaturethanratbehaviours.Humanpainthresholdandwithdrawal
thresholdarenotdifferenttotheratwithdrawaltemperature.Kruskal-Wallistest,**=p<0.05,ns=
p>0.05).
Figure3.Contactrampedcoolingoftherathindpawelicitstwodistinctbehaviouralresponses.
A.Panelshowsatypicalexampleofadigitisedtraceoftherawdatageneratedfromtheforce
transducersunderthecooledhindpaw(toptrace,arbitraryunits),andthesurface/contact
temperatureofthePeltierdeviceincontactwiththeplantarhindpaw(lowertrace,oC),overtime(s).
Therateofcoolingis-1.3oC/s.Theverticalcursorsindicatethecoolingevokedbehaviours.Cursors1,2
and3indicaterapid,transientremovalsofweightfromtheplate,andthecontacttemperatureat
whichtheyoccurred(22.1oC,19.2
oCand10.9
oC).Whenthepawwasplacedbackontheplate,there
wasoftenanincreaseinweightborneontheplate,asindicatedbytheupwardshiftofthetracemost
noticeablebetweencursors3and4.Theplatetemperaturecontinuedtofallduringthistime.Vertical
cursor4indicatesamoreprolongedremovalofweight,fullwithdrawal,at-11.87oC.
B.Scatterplotillustratingthetemperatureatwhichthetwocoolingevokedbehavioursoccurred.
HorizontalbarsshowmedianandIQRs.Themediantemperatureatwhichtheinitialtransient
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withdrawaloccurredwashigherthanthatatwhichfullwithdrawalbehavioursoccurred(p<0.001,n=10
rats,upto3rampsperrat.MannWhitneyUtest).Therateofcoolingis-1.3oC/s.
C.Scatterplotillustratingthelatenciesatwhichthetwocoolingevokedbehavioursoccurred.
HorizontalbarsshowmedianandIQRs.Themediantimetowithdrawal(latency)waslongerforfull
withdrawalsthanforinitialwithdrawals(p<0.001,n=10rats,upto3rampsperrat.MannWhitneyU
test).Therateofcoolingis-1.3oC/s.
D.Frequencyhistogramshowingthetwo-clustersolutionprovidedforresponsesvs.temperature.The
openbarsindicate“initial”withdrawals‚associatedwithclusteroneasdetectedbyhierarchical
clustering,andtheclosedbarsindicatecluster2,thefullwithdrawals.Forfullexplanationofclustering
pleaseseetext.Therateofcoolingis-1.3oC/s.
E.Frequencyhistogramshowingthetwo-clustersolutionprovidedforresponsesvs.latencies.The
openbarsindicate“initial”withdrawals‚associatedwithclusteroneasdetectedbyhierarchical
clustering,andtheclosedbarsindicatecluster2,thefullwithdrawals.Forfullexplanationofclustering
pleaseseetext.Therateofcoolingis-1.3oC/s.
Figure4.Theeffectofrateofcontactrampedcoolingonbehaviouralresponsesinrats.
A.Ascoolingrateincreased,thelatencytoinitialwithdrawaldecreased.(Median±I.Q.R,n=4rats,1-2
trialsperrate,**p<0.01,Kruskal-Wallis+Dunn’s,***p<0.001lineartestfortrendfollowinglog-log
transformation).
B.Ascoolingrateincreased,thelatencytofullwithdrawalalsodecreased.(Median±I.Q.R.,n=4rats,
1-2trialsperrate,*p<0.05,***p<0.001,Kruskal-Wallis+Dunn’s.***p<0.001lineartestfortrend
followinglog-logtransformation).
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C.Althoughthecoolingrateincreased,theplatetemperaturethatevokedinitialwithdrawalwas
unchanged,althoughthiswashighlyvariable.(Median±I.Q.R.,n=4rats,1-2trialsperrate,oneway
ANOVAwithBonferroniposthoctest).
D.Theplatetemperatureatwhichfullwithdrawalsoccurredwasalsounchangedbytherateofplate
cooling.Forfullwithdrawalstheplatetemperaturewashighlyconsistentacrosstrials.(Median±I.Q.R.,
n=4animals,1-2trialsperrateonewayANOVAwithBonferroniposthoctest).
E.Themean(±95%CI)subcutaneoustemperaturesatwhichinitialwithdrawalsoccurredatdifferent
ratesofcoolingwereinterpolatedfromthecontacttemperatures(Fig3C)andknownvaluesof
subcutaneousmeasurementsmadeinananaesthetisedrat.Unfortunately,theplatetemperaturewas
notloweredsufficientlyinthesubcutaneoustemperatureexperimenttoenabletheextrapolationof
thelowerconfidenceintervalforthe-2oC/scoolingrate.
F.Themean(±95%CI)subcutaneoustemperaturesatwhichfullwithdrawalsoccurredatdifferentrates
ofcoolingwereinterpolatedfromthecontacttemperatures(Fig.3D)asabove.
G.Platetemperatureisplottedagainstsubcutaneoustemperatureforthe4differentcoolingrates.
Therelationshipbetweenplateandsub-cutaneoustemperatureisapproximatelylinearforcooling
rates-0.5oC/sto-2
oC/s.Thesedataweregeneratedinasingleanaesthetisedrat.
Figure5.Contactrampedcoolingofthehumanforefingerallowsdefinitionofcolddetection,
discomfortandpainthresholdsandlatencies.
A.Panelshowsatypicalexampleofadigitisedtraceoftherawdatageneratedfromtheforce
transducers(arbitraryunits)underacooledforefinger(toptrace),andthesurface/contact
temperature(oC)ofthePeltierdeviceincontactwiththeforefinger(lowertrace),overtime(s).
Coolingratewas~-1.3oC/s.Participantsindicatedcolddetectionanddiscomfortandthiswasrecorded
viaafootpedal.ThisisshownintheMarkerchannelatthetopofthefigure.Theverticalcursors
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indicatetheseevents:Cursor1colddetectionat19.1oC,cursor2colddiscomfortat-2.48
oCandcursor
3coldpainandwithdrawalat-9.1oC.
B.Colddetectionthresholdsweresignificantlyhigherthatcolddiscomfortandcoldpainthresholds.
Colddiscomfortwasalsosignificantlydifferentfromcoldpain(median(I.Q.R.).***p<0.001,1way
ANOVA+Bonferroni'stest,n=10).
C.Themostcommondescriptorsusedtodescribethecoldpainevokedbycontactcoolingwere“cold”,
“numbing”and“freezing”.(n=10,2descriptorsforeachofthreetrials).
Figure6.Comparisonofhumanpsychophysicalandratbehaviouralthresholdsduringcontactramped
cooling.
A.Latencytopsychophysicalthresholdsevokedbycoolinginhumansisshownasafrequency
histogramrelativetotheplatetemperature.Thenumberofevents(leftYaxis)ineach5secondbinis
shownfordetection(dashedline),discomfort(dottedline)andwithdrawal(solidline)(n=10).Plate
temperature(oC)isshownontherightYaxis.
B.Latencytobehavioursevokedbycoolinginratsisshownasafrequencyhistogramrelativetothe
platetemperature.Thenumberofevents(leftYaxis)ineach5secondbinisshownforinitial(dashed
line)andfullwithdrawals(solidline)(n=10).Platetemperature(oC)isshownontherightYaxis.
C.Thelatenciestoinitialbriefpawremoval(rats)andcolddetection(human)wereequivalent,
althoughthevariabilityofresponseswasmuchgreaterintherats.Thelatenciesfordiscomfort,
noxiouscold(humans)andfullwithdrawals(rats)werealsonotsignificantlydifferent,againrat
responsesweremorevariable.Thelatenciesfor“initialresponse”and“pain”weresignificantly
differentinbothhumansandrats(p<0.0001).Allothercomparisonsweresignificantlydifferentexcept
forthoseindicated(KruskalWallis+Dunn’stest).BarsindicatemediansandIQRs.
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A
B C
marker
7 8 9
49.13oC 50.9oC
39.62oC
Fo
rce
(a
.u)
Te
mp
(oC
)
3
2.5
2
1.5
50
40
30
Fo
rce
(a
.u)
Te
mp
(oC
)
50
40
30
20
4
3
2
748 758 768
478 488 498
46.32oC
1
A
B
C
Fo
rce
(a
.u)
Te
mp
(oC
)
40
20
4
3
2
0
10.93oC
19.21oC 22.11oC
-11.87oC
1 2 3
4
5
265 275 285 295 \
A
B
C
D
A B
C D
E F
G
A
B
Fo
rce
(a
.u)
Te
mp
(oC
)
1 2 3 3.0
2.5
C
marker 3.5
19.1oC
-2.48oC
-9.1oC
20
-20
0
770 780 790 800 810
A
B
C
Eve
nts
E
ve
nts
20
0
15
10
5
0 5 10 15 20 25 30 35 40 45 50
Te
mp
era
ture
(oC
)
0
10
-10
-20
20
30 E
ve
nts
20
0
15
10
5
0 5 10 15 20 25 30 35 40 45 50
Te
mp
era
ture
(oC
)
0
10
-10
-20
20
30
Latency (s)
Latency (s)
humans
rats