modulation of visual gamma oscillation by excitatory drive ...al., 2017; nelson and valakh, 2015;...
TRANSCRIPT
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Modulation of visual gamma oscillation by excitatory drive and the
excitation/inhibitionbalanceinthevisualcortex.
Orekhova EV1,2, Sysoeva OV2, Schneiderman JF3,4, Lundström S1, Galuta IA5, Goiaeva DE5,
ProkofyevAO2,RiazB3,4,KeelerC3,HadjikhaniN1,6,GillbergC1,StroganovaTA2,5
1.UniversityofGothenburg,GillbergNeuropsychiatryCentre(GNC),Gothenburg,Sweden;
2. Center for Neurocognitive Research (MEG Center), Moscow State University of Psychology and
Education;
3.MedTechWest,Gothenburg,Sweden;
4.UniversityofGothenburg,InstNeurosci&Physiol,Gothenburg,Sweden;
5. Autism Research Laboratory, Moscow State University of Psychology and Education, Moscow,
Russia;
6.HarvardMedicalSchool,MGH/MIT/HSTMartinosCenterforBiomedicalImaging,Charlestown,MA
USA
Correspondingauthor:
ElenaVOrekhova,
GillbergNeuropsychiatryCentre
UniversityofGothenburg
Kungsgatan12,
SE41119Göteborg,Sweden
Tel.+46735912392
[email protected],[email protected]
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Abstract
Cortical gamma oscillations are generated in circuits that include excitatory (E) and
inhibitory (I) neurons. Prominent MEG/EEG gamma oscillations in visual cortex can be
inducedbystaticormovinghigh-contrastedgesstimuli. Inapreviousstudyinchildren,we
observed that increasing velocity of visual motion substantially accelerated gamma
oscillations, and led to the suppression of gamma response magnitude. These velocity-
related modulations might reflect the balance between neural excitation induced by
increasingexcitatorydrive,andefficacyofinhibition.
Here, we searched for functional correlates of visual gamma modulations and
assessedtheirdevelopmentin75typicallydevelopingindividualsaged7-40years.Gamma
oscillationsweremeasuredwithMEGinresponsetohigh-contrastannulargratingsdrifting
at1.2,3.6,or6.0°/s.Inadults,wealsorecordedpupillaryconstrictionasanindirectmeasure
ofexcitatorydrive.
Pupil constriction increased with increasing velocity, thus suggesting increased
excitatorydrivetothecortex.Despitedrasticdevelopmentalchanges ingammafrequency
andresponsestrength,themagnitudeofthevelocity-relatedgammamodulations–ashift
tohigherfrequencyandamplitudesuppression–remainedremarkablystable.Basedonthe
previous simulation studies, we hypothesized that gamma suppression might result from
excessivelystrongexcitatorydrivecausedbyincreasingmotionvelocityandreflectsatrade-
offbetweenoverexcitedexcitatoryandinhibitorycircuitry.Inchildren,thestrongergamma
suppressioncorrelatedwithhigherIQ,suggesting importanceofanoptimalE/Ibalancefor
cognitivefunctioning.
The velocity-related changes in gamma response may appear useful to assess E/I
balanceinthevisualcortex.
Keywords: MEG, gamma oscillations, excitation/inhibition balance, visual motion,
development,IQ
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Highlights
• Speedingvisualmotionincreasesfrequencyandsuppressespowerofgamma.
• Gammafrequencydecreasesfrom7yearson,fasterinchildrenthaninadults.
• Magnitudeofvelocity-relatedmodulationremainsstableacross7-40years.
• GammasuppressioncorrelateswithgammafrequencyandIQinchildren.
• Gammasuppressionmayreflectefficiencyofexcitation/inhibitionbalance.
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1.Introduction
Animalstudiessuggestthataprecisebalancebetweenexcitationandinhibition(E/Ibalance)
inneural networksorchestratesneural activity in spaceand time, and that thisbalance is
importantforcorticalfunctioning(Dorrn,etal.,2010;IsaacsonandScanziani,2011;Xue,et
al.,2014).Thefine-tuningoftheE/Ibalancetakesplaceduringdevelopment(Dorrn,etal.,
2010; Froemke, 2015) and is mediated by maturational changes in γ-aminobutyric acid
(GABA)- and glutamate-mediated neurotransmission (Carmignoto and Vicini, 1992; Le
Magueresse and Monyer, 2013; Piekarski, et al., 2017). Pathological alternations of E/I
balancecharacterizeepilepsy(MaheshwariandNoebels,2014;MannandMody,2008;Wu,
et al., 2015) and, according to animal models of neuro-developmental disorders, may
represent a key neurophysiological mechanism underlying abnormal perceptual and
cognitive processes in neurodevelopmental disorders (LeBlanc and Fagiolini, 2011; Lee, et
al.,2017;NelsonandValakh,2015;RubensteinandMerzenich,2003).
DespitetheurgentneedforbiomarkersoftheE/Ibalanceinthehumanbrain(Ecker,
et al., 2013; Levin and Nelson, 2015), valid non-invasive measurements are still lacking.
Recently,thestimulus-inducedhigh-frequencygammaoscillationsinbrainactivitymeasured
withEEG/MEGhaveattractedconsiderableattentionastheputativenoninvasiveindicators
ofanalteredE/Ibalance incorticalnetworks (LevinandNelson,2015;NelsonandValakh,
2015). Gamma oscillations (30-100 Hz) are generated by populations of interconnected
excitatoryandinhibitoryneuronsinresponsetosufficientlystrongexcitatorydrive(Buhl,et
al., 1998; Munk, et al., 1996). These oscillations critically depend on fast-spiking (FS)
parvalbumin-sensitive (PV+) interneurons thatarecapableofquickly synchronizingactivity
of the principle cells by inhibiting them through a negative feedback loop (Takada, et al.,
2014). Because gamma synchronization depends on the excitatory state of both E and I
circuitry,thestrengthofthegammaresponsetoexternal input is intimatelyrelatedtothe
E/Ibalance inneuralnetworks. Increasing intensityoftheexcitatory inputusually induces
an increasingly strong gamma response, and the gamma oscillations are particularly
powerfulwhenexcitedEcircuitryisnotproperlybalancedbyinhibition(i.e.incaseofhigh
E/Iratio)(seee.g.(Yizhar,etal.,2011).
Therehasbeenanumberofstudiesattemptingtoassessgammamodulationbythe
intensityof sensory stimulationof differentmodalities (Rossiter, et al., 2013; Schadow, et
al., 2007a; Schadow, et al., 2007b). Visual gamma oscillations recorded by MEG
(Hoogenboom, et al., 2006) have beenmost thoroughly investigated because their strong
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heritability (vanPelt, et al., 2012)andhighly reliability (Muthukumaraswamy,et al., 2010;
Tan,etal.,2016)highlighttheirpotentialvalueasbiomarkers.Thevisualgammaoscillations
are thought tobe generated through the interactionof principle excitatory cells and fast-
spiking inhibitoryneurons (socalledprincipal-inhibitory-neuron-gammaorPING) (Vinck,et
al., 2013). It has been demonstrated that visually inducedMEG gamma activity increases
withincreasingintensityofthestimulationmanipulatedbyluminancecontrast(Hadjipapas,
et al., 2015; Hall, et al., 2005; Perry, 2015; Perry, et al., 2015), coherentmotion strength
(Peiker,etal.,2015;Siegel,etal.,2007),eccentricity(vanPeltandFries,2013),ortransition
fromstationarytomovingstimulus(MuthukumaraswamyandSingh,2013;Swettenham,et
al.,2009).
Incontrasttopreviouslyreportedresults,ourrecentMEGstudyinchildrenrevealed
a strong suppressive effect of increasing stimulus velocity on the gamma response power
thatwasparalleledbyaprominent increased ingammapeak frequency (Orekhova,et al.,
2015). These unexpected findings imply that highly powerful visual input might cause
gammapowersuppressioninsteadofenhancement.
Although unexpected, the velocity-related gamma suppression phenomenon
resembles that which has been observed in some invasive studies in primates that used
visualstimuliofhighluminancecontrast(Hadjipapas,etal.,2015;Jia,etal.,2013;Roberts,
et al., 2013). These studies demonstrate a non-linear bell-shaped dependency of visual
gammapoweronluminancecontrast.
The transition from gamma power enhancement to suppression as a function of
input drive can be explained by a computational model of PING gamma oscillations
suggested by Borgers and Kopell (Borgers and Kopell, 2005). The transition from low to
modest levels of excitatory input to the Inhibitory-cells (I-cells) increases the number of
recruited neurons, thereby facilitating gamma oscillations at the populational level, and
eliciting an increase in gammapower.However, a too strongexcitatorydrivemaydisrupt
synchronization between I cells and/or E-I synchronization and lead to a reduction in the
powerofgammaoscillations.Abell-shapeddependenceofgammapowerasa functionof
the strength of excitatory drive is thus expected: an initial increase up to some critical
intensityisfollowedbysuppressionatyethigherintensities.
InthecontextoftheBorgersandKopell’smodel,ourfindingsofgammasuppression
suggest that stimuli moving with a sufficiently high speed may result in a failure of the
excessivelyactivatedI-cellstosynchronizenetworkactivity,andconsequentlycorrespondto
adescendingbranchofthebell-shapedcurve.Therefore,thegammasuppressiondrivenby
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an increase in stimulus velocity seems to reflect adistinct neural phenomenon, which
highlights thenonlinear relationshipsbetweenexternaldrive,E/I ratio,andgammapower
modulation in the human brain. The model predicts that the stronger and more rapid
suppressionofgammaoscillationpoweratthedescendingbranchofthebell-shapedcurve
occurswhenexcitationof theE-cells iseffectively reducedby inhibitory synaptic currents,
i.e.atarelativelylowerE/Iratio.Ontheotherhand,weakerandslowlydevelopinggamma
suppressionisexpectedincaseofhigherE/Iratio.Thus,modulationofgammaoscillations
byanincreaseinthestimulusvelocitycouldpavethewaytocharacterizationofE/Ibalance
in normal and disturbed visual networks and, if confirmed in systematic studies of typical
individualsandindividualswithneurodevelopmentalconditionsmayhaveimportantclinical
implications.
In this study we aimed to characterize the incidence, properties and individual
variabilityofgammasuppression ina largepopulationofneuro-typicalchildrenandadults
throughabroadagerange(6–40years),therebyclarifyingwhetherthegammasuppression
isage-specificoramoregeneralphenomenon.Inordertomodulatetheexcitatorydriveto
the visual cortex, we used the ‘visual motion’ paradigm that revealed the paradoxical
suppression of gamma power in our previous studies in children (Orekhova, et al., 2015;
Stroganova,etal.,2015).WeexpectedthatmaturationofGABA-,andglutamate-mediated
neurotransmissionwouldchange the frequencyandpowerofgamma responseandaffect
theirmodulationsasafunctionofexcitatorydrivetothecortex.
Toconfirmthatanincreaseinstimulusvelocityelicitshigherexcitatoryinputtothe
visualcortex,wemeasuredpupillaryreactioninasubsampleofourparticipants.Atransient
constrictionof thepupil canbeprovokedbyvisualmotionwithout increment in light flux,
reflectinganincreaseintheneuronalactivitywithinthevisualcorticalareas(Barbur,etal.,
1998;SahraieandBarbur,1997;Wilhelm,etal., 2002). Therefore, if fastermotionof the
annular grating does intensify excitatory drive to the visual cortex, it is likely to be
accompaniedbygreaterconstrictionofthepupil.
An important prediction derived from Borgers and Kopell’s model (Borgers and
Kopell,2005;Cannon,etal.,2014)isalinkbetweenamagnitudeofgammasuppressionand
theefficacyofneural inhibition in thevisual cortex.Here,weaddressed thisprediction in
two ways. First, because relatively high excitability of inhibitory neurons should facilitate
gammasuppressionandaccelerategammaoscillations(FerandoandMody,2015;Mannand
Mody,2010),weexpectedthatthemagnitudeofgammasuppressionwouldcorrelatewith
individualvariations ingamma frequency.Second,becausemoreefficient inhibition in the
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visualcortexwasshowntoberelatedtobettervisualperceptualskillsandhigherIQ(Cook,
et al., 2016;Melnick, et al., 2013),weexpected thatmagnitudeof suppressionof gamma
oscillations inresponseto increasingvelocityofvisualmotionwillcorrelatepositivelywith
IQ.
2.Materialandmethods
2.1.Participants
2.1.1.Children
Fifty typically developing boys between6 to 15 years of agewere recruited for the study
from local schools in Moscow. The inclusion criterion was absence of neurological or
psychiatric diagnoses. In all but one child (his parents refused the additional visit for IQ
assessment)theIQwasassessedwiththeKaufmanAssessmentBatteryforChildrenKABCII
(KaufmanandKaufman,2004).
Two control childrenwere later excluded from theMEGdata analysis.Oneof the
twohadexcessivemyogenicartifactsduringMEGrecordingandanotheronefailedtofollow
theinstructiontorespondwithabuttonpress.Ofthe48boysleft,twowerelaterexcluded
fromthegroupanalysisduetothereasonsdescribedintheResultssection.Thisresultedin
afinalsamplesizeof46children(agerange6.7–15.5years,mean11.0years,SD=2.2).
TheinvestigationwasapprovedbytheEthicalCommitteeoftheMoscowUniversity
ofPsychologyandEducation.Allchildrenprovidedtheirverbalassenttoparticipate inthe
studyandwere informedabout their right towithdrawfromthestudyatany timeduring
the testing.Written informed consentwas also obtained from a parent/guardian of each
child.
2.1.2.Adults
Theinitialadultsampleincludedtwentysevenadultsubjects.Twentytwoadultparticipants
were recruited in Gothenburg. The inclusion criterion was an absence of reported
neurologicalorpsychiatricconditions. Onemalesubject (20years-old)was laterexcluded
fromtheMEGgroupanalysisbecauseofapost-hocdiscoveryofanunreportedepilepsy.His
results are described separately. The age of the other 26 adult participants (3 females)
rangedfrom19.2to40.1years (mean27.9years,SD=6.3). In20of26theparticipants (all
males)theIQhasbeenassessedusingWechslerAdultIntelligenceScale,4thEdition(WAIS-
IV)(Wechsler,2010).
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The study was approved by the Gothenburg Regional Ethical Review Board
(Regionala etikprövningsnämnden i Göteborg). All participants gave written informed
consentaftertheexperimentalprocedureshadbeenfullyexplained.
2.2.Experimentaltask
Weappliedthesameexperimentalparadigmasthatusedinourpreviousstudiesinchildren
(Orekhova, et al., 2015; Stroganova, et al., 2015). The subjects sat in a dimmagnetically
shielded room, with their head resting against the back of and positioned as closely as
possibletothetopof,thehelmet-shapedsurfaceoftheheliumdewar.Forchildren,weused
aPT-D7700E-KDLPprojectorthatpresentedimageswith1280х1024screenresolutionand
60Hzrefreshrate.Foradults,thestimuliwerepresentedusingFL35LEDDPLprojectorwith
1920х1080screenresolutionand120Hzrefreshrate. Thestimuliconsistedofblackand
whiteannulargratingswithaspatialfrequencyof1.66circlesperdegreeofvisualangleand
outer diameter of 18 degrees of visual angle (Fig. 1A, insert). Theywere generated using
Presentation software (Neurobehavioral Systems Inc., USA). The grating appeared in the
centerof the screenoverblackbackgroundanddrifted to the central point atoneof the
threevelocities:1.2°/s;3.6°/s;6.0°/s, referredtobelowas ‘slow’, ‘medium’and ‘fast’.The
frequenciesofblacktowhitetransitionsatagivenposition inthevisual fieldproducedby
thesevelocitieswere4,12,and20Hz,respectively.
Eachtrialbeganwiththepresentationofawhitefixationcrossinthecentrumofthe
displayoverablackbackgroundfor1200ms,thatwasfollowedbyamovinggrating.After
movingforarandomintervalvaryingbetween1200and3000ms,thestimulusstoppedand
remainedon the screen for the lengthof the ‘responseperiod’. The responseperiodwas
individually adjusted in children (see (Orekhova, et al., 2015) for details) andwas fixed at
1000msinadults. Tokeepparticipantsalert,weinstructedthemtodetectterminationof
the motion and to respond by pressing a button as soon as the motion stopped. If no
responseoccurredwithintheresponseperiodthegratingwassubstitutedbyadiscouraging
message “too late!” (in Russian/Swedish for participants in Moscow/Gothenburg) that
remainedonthescreenfor2000ms,afterwhichanewtrialbegun.Theparticipantswere
instructedtoconstantlymaintaintheirgazeatthefixationcrossintheintervalsbetweenthe
stimuli.
Individual omission and commission (responses that occurred during motion or
earlier than 150 ms following termination of motion) errors were measured in all
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participantsexcepttwochildrenforwhomthebehavioralresponseswerenotrecordeddue
toequipmenterror.TheerrortrialswereexcludedfromtheMEGanalysis.
The experiment included three blocks of trials; stimuli of different velocitieswere
presentedinallthreeblocksinarandomorder.Theparticipantsrespondedwitheitherthe
rightorlefthand(50%trialseach)inasequencethatwascounterbalancedbetweenblocks
andparticipants. Each stimulus velocitywaspresented30 timeswithin eachexperimental
block resulting in 90 trials per stimulus velocity. In order to minimize visual and mental
fatigue, short (3-6 s) animated cartoon characters were presented between every 2-5
stimuli.Thesubjects’headpositionwascontinuouslymonitoredandadjustedtoacommon
positionusingMaxFilter™(v2.2).
2.3.Pupillometry
Pupil size was measured in 19 of 27 adult participants using an EyeLink 1000 binocular
tracker.Wecalculated theamplitudeof themaximalpupil constriction (i.e.,minimalpupil
size) during the 0 to 1200ms stimulus interval as a percentage of the average pupil size
duringthe-100to0mspre-stimulusinterval:
%relativeconstriction=(Apre-mean-Apost-min)/Apre-mean*100
These values were averaged separately for slow, medium and fast conditions. Trials
contaminated by blinks in the window of interest (-100 to 1200 ms), those preceded by
cartoonsanderrortrialswereexcludedfromanalysis.
2.4.MEGrecording
In children, neuro-magnetic brain activity was recorded at theMoscowMEG Centre (the
MoscowStateUniversityofPsychologyandEducation)usinga306-channeldetectorarray
(Vectorview;Neuromag,Helsinki,Finland)positionedinamagneticallyshieldedroom(AK3b;
Vacuumschmelze,Hanau,Germany). In adults,MEGwas recorded at theNatMEGCentre
(The Swedish National Facility for Magnetoencephalography, KarolinskaInstitutet,
Stockholm) using a similar 306-channel system (ElektaNeuromag TRIUX) located in 2-layer
magneticallyshieldedroom(VacuumschmelzeGmbH).Bothsystemscomprise102identical
triple sensor elements. Each sensor element consists of three superconducting quantum
interferencedevices, twowithorthogonalplanar gradiometerpickup coils andonewitha
magnetometerpickupcoilconfiguration.Fourelectrooculogram(EOG)electrodeswereused
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torecordhorizontalandverticaleyemovements.EOGelectrodeswereplacedattheouter
cantioftheeyesandaboveandbelowthelefteye. Tomonitortheheartbeats inchildren
oneECGelectrodewasplacedatthemanubriumsterniandtheotheratthemid-axillaryline
(V6ECGlead). InadultstheECGelectrodeswereplacedat leftandrightsidesofthechest
underthecollarbone.MEG,EOG,andECGsignalswererecordedwithaband-passfilterof
0.03–330Hz inMoscowand0.1-330Hz inStockholm,digitizedat1000Hz,andstored for
off-lineanalysis.
2.5.MEGdatapreprocessing
The data was first de-noised using the Temporal Signal-Space Separation (tSSS) method
(Taulu and Hari, 2009) implemented in MaxFilter™ (v2.2) with parameters: ‘-st’=4 and ‘-
corr’=0.90. Forall threeexperimentalblocks, theheadoriginpositionwasadjusted to the
initial headorigin position in the block #2. For further pre-processingweused theMNE-
pythontoolbox(Gramfort,etal.,2013)andcustomPythonandMatlabscripts.
The de-noised data was filtered between 1 and 145 Hz. To remove biological
artifacts (blinks, heart beats, and in some cases myogenic activity), we then applied
independentcomponentanalysis(ICA).TheMEGperiodswithtoohigh(4000e-13fT/cmfor
gradiometersand4e-12fT formagnetometersinadults,4000e-13fT/cmforgradiometers
and8e-12fT formagnetometers inchildren)or tooflat (0.1e-12fT/cmforgradiometers
and1e-13fTformagnetometers)amplitudeswereexcludedfromtheanalysis.Thenumber
of independent components was set at dimensionality of the raw ‘SSS’ed’ data (usually
around70).WefurtherusedanautomatedMNE-pythonproceduretodetectartificialEOG
andECGcomponents,whichwecomplementedwithvisualinspectionoftheICAresults.The
numberofrejectedartifactcomponentswasnormally1forverticaleyemovements,0-3for
cardiacand0-6formyogenicartifacts.
Theartifact-correcteddatawasepochedfrom-1.0to1.2srelativetothestimulus
onset. The epochs containing strongmuscle artifacts were excluded by thresholding the
mean absolute value of the high-frequency (>70 Hz) signal. The threshold was set at 3
standard deviations from the power of the 70-Hz high-passed signal averaged across
channels. The epochs left were visually inspected for the presence of undetected high-
amplitudeburstsofmyogenicactivityandtheepochscontaminatedbysuchartifactswere
manuallymarkedandexcludedfromtheanalysis.Thenumberofartifact-freeepochswith
correctbutton-pressresponsesforthe‘slow’,‘medium’and‘fast’conditionswasonaverage
70.5,70.8and70.5inchildrenand79.7,79.3and78inadults.
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2.6.Time-frequencyanalysisatthesensorlevel
The time-frequencyanalysisat the sensor levelhasbeenperformed inallparticipants. In
this study only planar gradiometers were analyzed. For spectral estimation we used
multitaper analysiswith discrete prolate spheroidal sequences (DPSS). We estimated the
spectrainoverlappingwindowsof400ms(shiftedby50ms)atfrequenciesfrom2.5to120
Hz.Thefrequencystepwas2.5Hz,thenumberofcycleswassetatfrequency/2.5andthe
bandwidth was 4, which resulted in spectral smoothing ±5 Hz around each center
frequency.Todecreasethecontributionofphase-lockedactivityrelatedtotheappearance
of the stimulus on the screen, as well as photic driving that could be induced by the
temporal frequency of the stimulation and screen refresh rate (or their interaction), we
subtractedaveragedevokedresponsesfromeachsingledataepochusing‘subtract_evoked’
MNEfunction.
The relative gamma response (indB)wasestimated in400-1000mspost-stimulus
periodrelativetothe-700to-200msperiodofpre-stimulusbaseline(centralpointsofthe
400ms spectral window) using the ‘tfr_multitaper’MNE-python function. The individual
gammaresponse frequencyandpowerwereassessedat thegradiometersensorpairwith
themaximal average response. To identify the location of the ‘maximal response sensor
pair’ thepowerchangeswereaveragedoverthetwogradiometersofeachsensorstriplet,
overthe400-1000mspost-stimulusperiodandoverfrequenciesofthegammarange(50-
110 Hz in children and 35-100 Hz in adults). Because our previous study showed that
detectablegammaresponseonthegrouplevelisobservedatposteriorgradiometersensors
(withthemaximumatthe 'MEG2112/3'pairofgradiometers), the locationofthemaximal
increase in gamma power was defined at one of the selected posterior locations
('MEG1932/3', 'MEG1922/3', 'MEG2042/3', 'MEG2032/3', 'MEG2112/3', 'MEG2122/3',
'MEG2342/3'and'MEG2332/3'),separatelyforeachcondition.
Toassessindividualgammapeakfrequencywefirstdefinedthefrequencybinwith
themaximalpowerofthegammaresponse.Becausethespectraofthegammaresponses
were not always perfectly Gaussian, we adjusted the peak frequency by calculating a
weighted average over whose frequency bins (subject/condition-specific band) where the
post-stimulus/baselineratioexceeded2/3oftheabsolutemaximum.Theweightedgamma
peak power was calculated in dB, as 10*log10(post-stimulus/baseline), where post-
stimulus/baselineisanaverageratiooverthesefrequencybins.
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Toassessthereliabilityofstimulus-relatedincreaseingammapowerineachsubject
and for each velocity condition we compared the single epochs’ average pre- and post-
stimuluspoweratthefrequencybinofthemaximalgammaresponseusingMann–Whitney
Utest.
2.7.Time-frequencyanalysisatthesourcelevel
ThestructuralMRIs(1mm3T1-weighted)wereavailablefor23of28adultparticipants.For
these participants we performed source analysis using FieldTrip open source software
(http://www.ru.nl/neuroimaging/fieldtrip/).Wesought tocheck for the similaritybetween
gamma response parametersmeasured at the source and the sensor levels, aswell as to
assesspositionofthemostsignificantgammaincrease(‘maximallyinducedvoxel’)ineachof
thevelocityconditions.Priortoanalysiseachsubject’sbrainhasbeenmorphedtotheMNI
templatebrainusing linearnormalizationand0.6mmgrid.Toperformsource localization
we then adapted the two-step approach. As the first step time-frequency analysis was
performedontheartifact-freeepochs(-0.9to-0.1pre-stimulusand0.4to1.2post-stimulus)
using multitaper method. The analysis window was centered at the sensor-defined
subject/conditionspecific frequency±25Hz.TheDICS inverse-solutionalgorithm(Gross,et
al., 2001) was used to derive the common source spatial filters. Subsequently, bootstrap
resampling source statisticswasperformed (with10000MonteCarlo repetitions) toverify
for each participant and condition presence of a significant (p<0.05) brain cluster of
poststimulus increase of gamma power in the visual cortex (L/R cuneus, lingual, occipital
superior, middle occipital, inferior occipital, or calcarine areas according to the AAL atlas
(Tzourio-Mazoyer,etal.,2002)).
At the secondstep the signalwas filtered in30-120Hz range, the ‘virtual sensors'
time serieswere extracted for each participant and velocity condition from each of 6855
brain voxels, and the time-frequency analysis (multitapermethod, ±5Hz smoothing, ~1Hz
frequency resolution) has been performed. The voxel with the most significant post-
stimulus increase of 45-90 Hz power in visual cortex was found. The gamma response
parameterswere defined for the average of this and the 25 closest voxels. To assess the
source-derivedgammaresponsefrequencyandamplitudewecalculatedpost-/pre-stimulus
ratioforeachfrequencyinthebroadgammarange(30-120Hz)andthenassessedweighted
subject/conditionspecificfrequencyandamplitudeusingtheapproachappliedinthesensor
space.
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2.8.Statisticalanalysis
StatisticalanalysiswasperformedusingSTATISTICA-13software(DellInc,2015).Totestfor
the effect of the velocity condition (hereafter Velocity) on MEG parameters and pupil
contractionamplitude,weused the repeatedmeasuresanalysisof variance (ANOVA).The
Greenhouse-Geisser correction for violation of sphericity has been applied when
appropriate.Theoriginaldegreesoffreedomandcorrectedp-valuesarereportedtogether
withepsilon(ε).Partialeta-squared(η2)wascalculatedtoestimateeffectsizes.ANOVAwas
alsousedtoassess theeffectofagegroup. Spearmancoefficientswereusedtocalculate
correlationsbetweenvariables.DetailsaboutthestatisticalanalysisaregivenintheResults
section.
3.Results
3.1.Pupilconstriction
TherepeatedmeasuresANOVArevealedahighlyreliableeffectoftheVelocity(F(2,36)=16.9,
ε =0.92, p<0.0001; η2=0.48). The magnitude of pupil constriction increased with
increasingmotionvelocityoftheannulargrating(Fig.1).
Figure 1. Pupillary constrictionresponse to the annulargratings drifting towards thecenter of the display at threedifferentvelocities (‘Slow’ -1.2°/s, ‘Medium’ - 3.6 °/s; and‘Fast’ - 6.0 °/s). Vertical barsdenote 0.95 confidenceintervals. The insert shows thestimulus display; the arrowsindicatemotiondirection.
3.2. Incidenceof gamma responses to visualmotion in the sensor space in childrenand
adults.
Groupaveragetime-frequencyplotsinchildrenandadultsareshowninfigure2.Theseplots
arebasedon46childrenand26adults, (2 childrenand1adultparticipantwereexcluded
fromthegroupanalysisduetothereasonsdescribedbelow).
Slow Medium Fast Velocity
50
52
54
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60
Pupi
l con
stric
tion
(a.u
.)
p<0.001
p<0.001
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14
Figure 2. Grand average time-
frequency plots for the three
velocity conditions in children and
adults.
Table 1 shows the number of
subjects who demonstrated
stimulation-related increases in the
gamma power at p<0.05 and
p<0.0001probabilitylevels.
Table1. Incidence,mean frequencyandmeanpowerofmotion-relatedgammaresponsesdetectedatdifferentp-levels(Mann-WhitneyUtest)inchildrenandadults.
P<0.05 P<0.0001
Children,N=46Stimulusvelocity
Frequency(Hz)
Power(dB)
Nand%sample
Frequency(Hz)
Power(dB)
Nand%sample
Slow 66.1(6.1)* 3.1(2.0) 45,98% 65.2(5.3) 3.6(1.8) 37,80%Medium 73.2(8.5) 2.2(1.8) 43,94% 72.3(8.0) 2.8(1.8) 31,67%Fast 82.2(10.8) 1.3(1.0) 37,80% 79.6(7.4) 1.9(1.1) 21,46%
Adults,N=26Stimulusvelocity
Frequency(Hz)
Power(dB)
Nand%sample
Frequency(Hz)
Power(dB)
Nand%sample
Slow 55.7(5.7) 3.8(1.4) 26,100% 55.7(5.7) 3.8(1.4) 26,100%Medium 65.1(6.0) 2.6(1.3) 26,100% 65.1(6.0) 2.6(1.3) 26,100%Fast 70.0(8.5) 1.3(0.7) 26,100% 69.5(5.4) 1.5(0.7) 19,73%*Standarddeviationsaregiveninparentheses.
Undertheslowandmediumvelocityconditions,gammaresponsepeakswerehighly
reliable(responsevs.baseline:p<0.0001)inalltheadultsandinthemajorityofthechildren.
Forthethirdvelocity,thehighlyreliablepeaksweredetected inthemajorityoftheadults
andinabouthalfofthechildren.
3.3.Comparisonofthesource-andsensor-derivedgammapowerandamplitude.
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15
Thesourceanalysiswasperformedin23of26adultsforwhomthestructuralMRIdatawere
available.TheDICSbeamformeranalysisshowedpresenceofasignificantclusterofgamma
increase in visual cortex in response to the ‘slow’ and ‘medium’ Velocity in all these
participants. Inresponsetothe‘fast’Velocity,asignificantclusterwaspresentin19of23
participants. In all three conditions, themost frequent locationof the ‘maximally induced
voxel’wasinthecalcarinesulcus(in17/23subjectsinthe‘slow’condition,in16/23subjects
in the ‘medium’ condition and in 11/18 subjects in the ‘fast’ condition, see also the
Supplementarytable1fortheMNIcoordinatesofgammaresponseforeachsubject).Figure
3 illustrates sourcedistributionof thegamma responseobtainedusingDICSbeamforming
technique.Nosignificantshiftofthe‘maximallyinducedvoxel’ineitherx,yorzcoordinate
hasbeenobservedbetweenthethreevelocitycondition(rmANOVA:allp’s>0.4).Themean
intra-individual distance between ‘maximally induced voxels’was 5.4mm (sd=6.2) for the
‘slow’vs‘medium’conditions,10mm(sd=7.6)forthe‘medium’vs‘fast’conditions,and9.3
mm (sd=8.5) for the ‘slow’ vs ‘fast’ conditions. The group average [x y z] position of the
‘maximally induced voxel’ in the MNI coordinates was [0.0 -93.7 -0.7] for the ‘slow’
condition,[-0.6-94.0-0.7]forthemediumconditionand[2-94.70.0]forthefastcondition.
Considering6mmspatial resolutionof thegridthemeanpositionofthegammaresponse
maximum corresponded to the sameMNI template voxel in the left calcarine gyrus in all
threeconditions.
Figure 3. Source localization of the gamma response in the three velocity conditions in
adults:thegrandaverage.
Slow Medium Fast
(pos
tstim
-pre
stim
)/pr
estim
1.0
0.8
0.6
0.4
0.2
0.0
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16
Table 2. Spearman correlations between source- and sensor-derived gamma response
frequency (F) and power (P) parametersmeasured in ‘slow’, ‘medium’ and ‘fast’ velocity
conditions.
SourceFslow SourceFmedium SourceFfast SourcePslow SourcePmedium SourcePfast
SensorFslow 0.96(N=23*)
SensorFmedium 0.93(N=23)
SensorFfast 0.83(N=18)
SensorPslow 0.79(N=23)
SensorPmedium 0.91(N=23)
SensorPfast 0.91(N=23)
*Onlysubjectswithreliablegammaincreaseatbothsensorandsourcelevelswereincluded
intothefrequencycorrelationanalysis.
The high correlations between source- and sensor-derived gamma response
parameters (Tab. 2) suggest close correspondence between sensor- and source-derived
results. Moreover, source-space analysis showed that in all velocity conditions themajor
sourceofgammaoscillationswassituated in theoverlappingregionsof theprimaryvisual
cortex.ConsideringthatthestructuralMRIdatawerenotavailableforalloftheparticipants
wefurtherrestrictedanalysistothesensorspacedata.
3.4.Velocity-relatedmodulationsofgammaoscillations,theirvariabilityandoutliers
3.4.1.Power
Hereandinallfurtherstatisticalanalysesthatexaminedtheeffectofvelocityonthegamma
responsepoweratthegrouplevel,weincludedonlythoseparticipantswhodemonstrated
the reliable (p<0.0001) gamma peaks under the ‘slow’ condition. This strict criterion was
applied because themagnitude of the velocity-related power suppression can be reliably
estimated only when a reliable gamma response under the slow velocity condition is
present.Thiscriteriondidnotaffectthesizeoftheadultsample,butreducedthenumberof
children in the analysis (adults: 26, children: 37). The children excluded from the gamma
power modulation analysis (n=9; mean age=9.4 years; range: 6.7 to 12.6 years) were
significantlyyounger(M-Wtest:z=2.33;p=0.02)thantherestofthechildreninthesample
(n=37;meanage=11.4;range:7.7to15.5years).
Themajorityofparticipants,regardlessofage,demonstratedgradualattenuationof
gamma responsewith increasing stimulus velocity from ‘slow’ to ‘medium’ and further to
‘fast’ (Fig. 4A). Two examples of typical gamma spectra are shown in Figure 5A. In a few
subjects,thetransitionfrom‘slow’to‘medium’conditionelicitedanincrease(ornochange)
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17
ingammapower,succeededbyitsdecreaseunderthe‘fast’condition(Fig.5B). Oneadult
andtwochildrenshowedvirtuallynochangeingammaresponsepower,evenatthehighest
velocity (Fig.5C,seealsoFig.4A,dashed lines).Visual inspectionof theMEGrecordof the
adultsubject(20yearsold)withtheatypicallackofgammasuppressionhasshownpresence
of the spike-and-wave complexes over the posterior brain regions. Post-hoc examination
revealed that he had an unreported diagnosis of epilepsy. The post-hoc inspection of the
MRIofoneofthetwochildrenlackingthegammasuppression(13years-old;hisspectraare
picturedinFig.5C,upperpanel)byaclinicalneuro-radiologistrevealedpresenceofArnold-
Chiari malformation. The other child who did not suppress the gamma response with
increasingmotionvelocity(7yearsold)hasnothadaformalmedicaldiagnosis;however,he
sufferedfromminormotorticksandfrequentnightmaresaccordingtotheparentalreport.
Thetwochildrenandoneadultwhohadpost-hocrevealedmedicalconditionsand
displayed atypical lack of gamma suppression were excluded from all the further group
analyses.
Figure 4. Velocity-related changes in
gamma response power and frequency:
individual subjects plots. A. Gamma
response power. Only children with
reliable(p<0.0001)gammaresponseunder
the ‘slow’ velocity condition are included.
B.Gamma frequency.Thedataare shown
only for reliable gamma peaks. The thick
dashedlinescorrespondtosubjectslacking
thepowersuppression.
0
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Slow Medium Fast Slow Medium Fast40
Children
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Figure 5. Individual spectra of visual gamma responses and their modulation by motionvelocityinchildrenandadults:typical(A)andinfrequent/atypical(BandC)gammaresponsemodulations.
InchildrentherepeatedmeasuresANOVArevealedaprofoundreductionofgamma
response powerwith transition from the ‘slow’ to the ‘medium’ and further to the ‘fast’
condition(F(2,72)=93.0,ε=0.8, p<10e-6;η2=0.73;Fig.6A).
40 50 60 70 80 90 100-1
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40 50 60 70 80 90 100-1
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A B CPo
wer
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Frequency, Hz
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19
Figure6.Changesingammaresponsepower(A)andfrequency(B)asafunctionofmotionvelocityinchildrenandadults.Verticalbarsdenote95%confidenceintervals.
In adults the repeatedmeasures ANOVA also showed highly reliable reduction of
gammaresponsepowerwithchangingvelocityfrom‘slow’to‘medium’andfurtherto‘fast’
condition(F(2,50)=83.1,ε=0.83, p<10e-6;η2=0.77;Fig.6A).
3.3.2.Frequency
Aviableestimateof thegammapeakfrequency ispossibleonlywhenthepeak is reliable.
We estimated the frequency of an individual gamma response peak only if the stimulus-
inducedpowerenhancementwassignificantatthep<0.0001 level. Fortheanalysisofthe
velocity effect on gamma frequency (‘frequency ANOVA’), we included those participants
whohadthereliablepeaksunderallthreeexperimentalconditions(21children,19adults).
In children we observed a robust effect of visual motion velocity on gamma
frequency (F(2,40)=173.6, ε=0.8, p<10e-6;η2=0.9). The gamma peak frequency increased
from the ‘slow’ through the ‘medium’ to the ‘fast’ condition (Fig. 6B); the difference
betweenthe‘slow’andthe‘fast’conditionswas15.3Hzonaverage.Therobustincreasein
gammafrequencywasalsoobservedinadults(F(2,36)=145.9,ε=0.8, p<10e-6;η2=0.89)where
itwas14.6Hzonaverage.
0.5
1.5
2.5
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3.5
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amm
a po
wer
(dB)
Slow Medium Fast
Children Adults
Gam
ma
freq
uenc
y (H
z)
Slow Medium Fast50
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A
B
Slow Medium FastMotion velocity
50
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Motion velocity
Slow Medium Fast
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20
3.4.Effectofageongammaoscillations.
3.4.1.Power
Themagnitudeofthestimulus-inducedgammaresponsesignificantlyincreasedwithagein
children between 6 and 15 years, but did not change in adults between 19 and 40 years
(Tab.3).Infigure7Awepresenttheage-relatedchangesinpowerofgammaresponsefor
the‘slow’condition.
Table3.Spearmancorrelationsbetweenmagnitudeofthestimulus-inducedgammaresponse(indB)andageinchildrenandadults.Stimulusvelocity Children(N=46) Adults(N=26)Slow 0.43** -0.07Medium 0.43** -0.13Fast 0.37* -0.30*p<0.05,**p<0.01
Figure 7. Developmental changes of gamma response power (A) and frequency (B) inchildrenandadults:slowvelocitycondition.AsterisksdenotethesignificanceofSpearmancorrelations:*p<0.01;**p<0.0001
To analyze possible differences in velocity-related changes of gamma response
magnitudeinchildrenandadults,weperformedanANOVAwiththemainfactorAge-Group
(adults, children) and repeated measures factor Velocity (3 conditions). This revealed a
highlysignificanteffectofVelocity (F(2, 122)=172.8,ε=0.87, p<1e-6; η2=0.74),butnoeffect
fortheAge-GrouportheAge-Group*Velocityinteraction(p’s>0.6).
3.4.2.Frequency
5 10 15 20 25 30 35 40 45Age (years)
0
1
2
3
4
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6
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9
Gam
ma
pow
er (d
B)
5 10 15 20 25 30 35 40 45Age (years)
40
45
50
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60
65
70
75
80
Gam
ma
frequ
ency
(Hz) Children
Adults
A B
R=0.43* R=-0.63**
R=0.07
R=-0.71**
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Inboththechildandtheadultsamples,thegammapeakfrequencydecreasedwithage(Tab
3). In figure 7Bwepresent the agedependent changes in thepeak frequencyof gamma
response inducedby ‘slowly’ drifting gratings.Notably, thedrop in gamma frequencywas
morerapidduringchildhood(1.712Hzperyear)thanduringadulthood(0.644Hzperyear).
The homogeneity of slopes analysis revealed significant difference between gamma
frequency age-related slopes in children and adults for the ‘slow’ (F(1, 59)=7.8, p<0.005,
η2=0.13) and the ‘fast’ (F(1, 36)=7.5, p<0.01,η2=0.17) velocity conditions, but did not reach
significancelevelforthe‘medium’condition(F(1,53)=1.3,p>0.1,η2=0.03).Inspectionoffigure
7B suggests that the decrease of gamma frequency in adults takes placemainly after 25
yearsofage,andmightreflectaging-relatedprocesses.
Table4.Spearmancorrelationsbetweengammaresponsefrequencyandageinchildrenandadults.Stimulusvelocity Children AdultsSlow -0.63***(N=37) -0.71***(N=26)Medium -0.39*(N=31) -0.74***(N=26)Fast -0.54*(N=21) -0.42(N=19)*p<0.05,***p<0.0001
Toanalyzepossibledifferences in velocity-related changesof gamma frequency in
childrenandadultsweperformedanANOVAwithfactorsAge-Group(adults,children)and
Velocity (3 conditions). The ANOVA revealed highly significant effects of both Age-Group
(F(1,38)=27.1,p<0.0001;η2=0.42)andVelocity(F(2,76)=317.2,ε=0.81,p<1e-6;η2=0.89),butno
Age-Group*Velocity interaction (p=0.4), suggesting developmental stability of velocity-
relatedincreaseingammafrequency.
3.5.Gammapowersuppressionandgammafrequency
Based on the animal data and computational model reviewed in the introduction, we
anticipated that subjectswith relatively higher gamma frequency and/or greater velocity-
related increase of gamma frequency (i.e. those who might have greater excitation of I
neurons or greater velocity-related increase in their excitation) would demonstrate 1)
greateroverallmagnitudeofgammapowersuppressionwithtransitionfrom‘slow’to‘fast’
velocity and/or 2)more ‘rapid’ gamma power suppression that would occur already at a
milderlevelofexcitatorydrive(withtransitionfrom‘slow’to‘medium’velocity).
Toassessgammapowersuppression,weintroducedtwoparameters.Thefirstone-
gamma Suppression Magnitude (gSM) characterizes degree of gamma power response
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suppressionwithtransitionfrom‘slow’to‘fast’condition,normalizedbythe‘slow’gamma
power:
gSM=(POWslow-POWfast)/POWslow.
Thenormalizationeliminatesinter-individualdifferencesinmagnitudeofgammaoscillations
thatmightbeexplainedbyage,anatomicalfactors,etc.Note,thatthepositivegSMvalues
characterizegammasuppression.
Thesecondmeasure-gammaSuppressionSlope(gSS)-wascalculatedas
gSS=(POWslow-POWmedium)/(POWslow-POWfast).
and characterizes how fast with increasing velocity the gamma suppression occurs.
Considering that the denominator was positive in all the participants included in the
analysis,thegSSwaspositiveifthesuppressiontookplacealreadyatthe‘medium’velocity.
Itwasnegativeinthecaseofinitialpowerincreaseinthe‘medium’velocityconditionwith
thefollowingdecreaseinthe‘fast’condition(e.g.Fig.5B).
ThePOWslow,POWmediumandPOWfastwerecalculatesasanabsolutedifference
betweenmean post-stimulus and baseline power in the respective condition and for the
subject/condition-specific band (see Methods). The higher gSM value indicates stronger
gammasuppressionwithincreasingexcitatorydrive.ThehighergSSvaluesignifiesthatthe
relatively greater part of the gamma suppression occurs already with the moderate
excitatorydrive(i.e.atthe‘medium’velocity).
When all subjects with the reliable gamma response in the ‘slow’ condition
(p<0.0001) were included into analysis, in children gSS correlated positively with gamma
frequency in the ‘fast’ (R=0.6, p<0.01) and ‘medium’ (R-0.36, p=0.05) conditions (Tab. 5.)
These correlations could not be accounted for by age, because gSS did not significantly
changewithage(R(29)=-0.3,p>0.1).Thismeansthatchildrenwhohadhigherfrequencyof
gammaoscillationsathighandmediumvelocity,suppressedgammaresponsemorerapidly,
i.e.alreadyatthetransitionfromthe‘slow’tothe‘medium’velocity.Unlikethatinchildren,
nocorrelationswithgammaresponsefrequencywerefoundinadults(Tab.5).
We further tested whether the velocity-related changes in gamma response
amplitude correlated with changes in gamma frequency. In adults, the slow-to-medium
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23
change in frequency correlated positivelywith both gSS (R= 0.44,N=26, p<0.05) and gSM
(R=0.43,N=26, p<0.05), while the slow-to-fast frequency growth tended to correlate with
gSM(R=0.43,N=19,p=0.07)
Table 5. Spearman correlations between gamma suppression parameters (gSM, gSS) andgammaresponsefrequencymeasuredinthethreevelocityconditions. Children Fslow,
N=37#Fmedium,N=30
Ffast,N=21
Fmedium-Fslow,N=30
Ffast-Fslow,N=21
gSM 0.11 0.05 -0.09 0.12 -0.17
gSS 0.25 0.36 0.60** 0.19 0.26 Adults Fslow,
N=26Fmedium,N=26
Ffast,N=19
Fmedium-Fslow,N=26
Ffast-Fslow,N=19
gSM -0.34 -0.07 -0.29 0.44* 0.43gSS -0.25 0.04 -0.14 0.43* 0.22*p<0.05,**p<0.01.# Note that the number of subjects included in each analysis depends on the presence of a reliable
gamma peak in the corresponding velocity condition.
3.6.GammapowersuppressionandIQ
In children, theKABC-IIMental ProcessingComposite (MPC) IQ score correlatedpositively
withbothgSMandgSS (N=36;gSM:R=0.33,p<0.05,gSS:R=0.54,p<0.001;Tab.6).ThegSS
also correlated positively with KABC-II Simultaneous IQ Score (R=0.51, p<0.01). These
correlationssuggestthatchildrenwithhigher IQshowgreaterandmorerapidsuppression
ofgammaresponsewithincreasingexcitatorydrive.
Pattern of correlations between MPC IQ and gamma response magnitude in separate
velocity conditions suggests that the correlation with gSM and gSS are mainly driven by
gamma response power in the ‘medium’ and ‘fast’ conditions ( ‘slow’: R(36)=-0.07, n.s.,
‘medium’:R(36)=-0.31(p=0.06),‘fast’:R(36)=-0.29,p=0.09).
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Table6.Spearmancorrelationsbetweengammasuppressionparameters(gSM,gSS)andIQscores. Children,KABCII,
N=36Adults,WAISIVN=17
Sequential/Short-TermMemory’
Simultaneous/VisualProcessing
MentalProcessingComposite
TotalIQ
gSM 0.13 0.28 0.33* 0.1
gSS 0.15 0.51** 0.54*** 0.2
*p<0.05,**p<0.01,***p<0.001
Figure 8. The relationship between gamma suppression parameters and IQ in children.AsterisksdenotethesignificanceofSpearmancorrelations:*p<0.01;**p<0.0001
No correlations between gamma suppression parameters and IQ reached
significancelevelinadults.
4.Discussion
Thecurrentstudyexaminedtheparadoxicalsuppressionofvisualgammaoscillationscaused
byincreasingvelocityofdriftingannulargratings.Inalargesampleofchildren,wereplicated
ourpreviousfindings(Orekhova,etal.,2015)indicatinganegativecorrelationofthevisual
motion velocity with the magnitude of gamma power enhancement and its positive
correlationwith the frequency of gamma oscillations We also found the same effects in
adults. Thepupillometry findings suggest that theeffectof velocityongammaoscillations
may be at least partly mediated by changes in excitatory drive. We further investigated
developmentalstabilityofthisphenomenonanditsfunctionalcorrelates.Despiteprofound
90 100 110 120 130 140 150
MPC IQ
0,2
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0,7
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1,0
gam
ma
Supp
ress
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nitu
de
R=0.33*
90 100 110 120 130 140 150
MPC IQ
-0,2
0,0
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1,0
1,2ga
mm
a Su
ppre
ssio
n Sl
ope
R=0.54***
A B
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developmentaltransformationinabsolutevaluesofgammaresponsefrequencyandpower,
the magnitude of velocity-related gamma power and frequency modulations remained
stable from middle childhood to adulthood. Based on previous modeling studies, we
hypothesizedthatthesuppressionofgammapowerwithincreasinglystrongexcitatorydrive
reflects the capacity of inhibitory neurons to counteract excitation in the visual networks
(i.e., the E/I ratio). Since the E/I ratio depends, amongst other factors, on the tonic
excitability of inhibitory neurons, which in turn strongly affects the frequency of gamma
oscillations, we expected that the suppression of gamma power would correlate with
gamma frequency parameters. Following the prediction from the model of (Borgers and
Kopell, 2005),weanticipated that thegreater suppressionof gammapowerwould reflect
lower E/I ratio that might be beneficial for an individual subject’s level of cognitive
functioning(Cook,etal.,2016;Melnick,etal.,2013). Thesepredictionswereconfirmedin
children,butonlypartially inadults,suggestingthatE/Ibalancemaybebasedondifferent
mechanismsduringchildhoodandadulthood.
4.1.Gammaparametersinthesourceandsensorspace.
Comparison of the source and sensor analysis results shows close correspondence of the
gammaparametersmeasuredinthesourceandsensorspace. Thisresultagreeswellwith
thefindingsofTanetal(Tan,etal.,2016)whoreportedhighreliabilityofbothsource-and
sensor-derivedparametersofvisualgammaresponseandtheirclosecorrespondence.
Importantly, in all three velocity conditions, the individual maxima of gamma
responses were most frequently located in the primary visual cortex (calcarine gyri, see
SupplementaryMaterials) and we did not find any evidence for a systematic shift of the
maximumwithchangesinmotionvelocity.Thesefindingssuggestthatgenerationofgamma
activityinallthreevelocityconditionswasbasedonactivityofthesameneuralcircuits.
4.2.Developmentalchangesinstrengthandfrequencyofvisualgammaresponse
Visual stimulationwithmovingannulargratings resulted inprominent increaseof induced
gamma power under conditions of ‘slow’, ‘medium’ and ‘fast’ stimulus velocities in both
childandadultsamples(Fig.2).Inchildren,thestrengthofthegammaresponseincreased
between6and15yearsofage,whileinadultsitremainedstablebetween19and40years
of age (Tab.2, Fig. 7A). This developmental growth in the power of induced gamma
oscillationswasaccompaniedbyadropintheirfrequencythatcontinuesduringadulthood
butatamuchslowerpace(Tab.4,Fig.7B).
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Adevelopmental increase in the strengthof visual gamma response is compatible
with previous reports of amaturational rise in auditory gamma oscillations evidenced by
increaseinamplitudeand/orinter-trialcoherencyof40-Hzauditorysteady-stateresponses
(ASSR)(Cho,etal.,2015;Edgar,etal.,2016).Choetal(Cho,etal.,2015)observedthatthe
amplitude of the ASSRs increased in children between 8 and 16 years of age, but then
droppedbetween15-16and20-22years.Althoughwehadveryfewsubjectswithinthe15–
22yearagerange,(whichprecludesstatisticalanalysisofthelattereffect),thepresenceof
veryhighgammaresponsevalues in theolderchildren inoursampleandtheirabsence in
adults(Fig.7A)suggeststhatthereductionofgammaamplitudebetweenadolescenceand
earlyadulthoodmaybeacommonfeatureofboththeauditoryandvisualcortices.
Severalfactorsmayunderliedevelopmentalchangesingammaresponsepower.The
maincontributormightbethematurationofinhibitoryGABAergicneurotransmissionthatin
primatesisprotractedintoearlyadulthood(LeMagueresseandMonyer,2013).Changesin
subunit composition of GABAR (GABA-Receptor) (Hashimoto, et al., 2009), as well as
increasing ‘on-demand’GABA release (Pinto, et al., 2010) produce a developmental shifts
toward stronger, more precise inhibitory currents, thereby resulting in highly coherent
activityofprincipalcellsintheuppergammafrequencyband(Doischer,etal.,2008).
Developmentalslowingofthevisualgammaoscillationsobservedinourstudyis in
linewithresultsofGaetzandcolleagues(Gaetz,etal.,2012)whoreportedadecreaseinthe
frequencyofgammaoscillationsinducedbystaticvisualgratingsinsubjectsaged8-45years.
However,thesmallnumberofchildren(12subjects)andmuchlargernumberofadults(47
subjects)includedintheirsampledidnotallowGaetzetal.toperformaseparateanalysisof
developmental trajectories in thematuringand theagingbrain.Our study shows that the
rate- and most probably the mechanism - of the developmental decrease in gamma
frequencydifferinchildrenandadults.
The frequency of the induced gamma oscillations predominantly depends on the
excitatorystateofFSPV+ inhibitoryneuronswithhigher frequency related to theirhigher
tonic excitability (Anver, et al., 2011; Ferando andMody, 2015; Mann andMody, 2010).
ThereisconvincingevidenceofadevelopmentalshifttowardslowerNMDA-mediatedtonic
excitationoftheFSPV+cells,aswellasofadevelopmentalreductionofthenumberofFS
PV+ cells exhibiting excitatory NMDA-mediated currents (Wang and Gao, 2009). On the
otherhand,tonicinhibitoryregulationoftheFSPV+interneuronsgraduallyincreasesduring
postnatal development (Le Magueresse and Monyer, 2013). These maturational
transformations leading to subtler tonicexcitabilityof inhibitoryneuronsmaywellexplain
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27
thehighlypronouncedandrapiddecreaseinthefrequencyofvisualgammaoscillationsthat
weobservedbetween childhoodandadolescence.Ofnote, theexpressionof theNMDAR
units (NR1, NR2a, NR2b) proceeds to decrease even in themature brain - from young to
middle-agedadulthood(Adams,etal.,2008). Thesechanges inNMDAtransmissionmight
explainthemoregradualdecreaseofvisualgammafrequencybetween19and40yearsof
ageinourstudy.
4.3.Modulationofgammaoscillationsbyexcitatorydrive.
Increasing velocity of visual motion from 1.2 to 6.0°/s (which also shifts the temporal
frequency of the stimulation from 4 to 20 Hz) was associated with significantly stronger
relativepupillaryconstriction(Fig.1).Ithasbeenpreviouslyfoundthatpupilconstrictioncan
be induced by changing attributes of a visual stimulation (e.g. spatial structure, color or
motion coherence) without any changes in light flux (Barbur, et al., 1998; Sahraie and
Barbur, 1997; Wilhelm, et al., 2002). Thesepupillary reactions are thought to reflect the
activationofcorticalareasinvolvedinprocessingofrespectivefeaturesofthevisualstimuli
(Barbur,etal.,1998). Inourparadigm, the increase inpupil constriction fromslow to fast
motion velocity is likely to reflect increasing activation of the motion-processing cortical
areas (includingV1,V5andbeyond)that inturncausestransientweakeningof thecentral
sympathetic inhibition of the parasympathetic Edinger-Westphal nucleus of the midbrain
(Wilhelm, et al., 2002). Thus, the pupillometry findings support our interpretation of the
effectofthemotionvelocityongammaresponseasbeingadirectconsequenceoftherising
excitatorydrivetothevisualcortex.Thelatterisfurthersupportedbytheobservationthat
thegratingsmovingatfastvelocitywereoftenperceivedbytheparticipantsasmostintense
andevenunpleasant.
Ourresultssuggestthatthefrequencyandpowerof inducedgammaoscillations
stronglydependonthestrengthoftheexcitatorydrive.Theincreasingexcitatorydrivewith
increasingmotionvelocityfrom‘slow’to‘fast’leadtoaccelerationofgammaoscillationsin
all participants with reliably detectable gamma peaks (Fig. 4B). The mean increase in
frequencywasalmostthesameinchildren(15.3Hz)andadults(14.6Hz).
Experimental studies in animals (Mann andMody, 2010), as well as simulation
studies(Moca,etal.,2014),suggestthatexcitationofinhibitoryFSinterneuronsisthemain
factor affecting the frequency of gamma oscillations. The recent DCMmodeling study by
Shawandcolleagues(Shaw,etal.,2017)hasshownthatreductionofgammafrequencyby
GABA reuptake inhibitor tiagabine ispartlymediatedby itseffecton the timeconstantof
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28
theinhibitoryinterneurons.Therefore,theincreaseingammafrequencywithspeedingthe
visualmotionmightbeatleastpartlymediatedbyincreasingexcitationofFSinterneuronsin
responsetoincreasingexcitatorydrive.
The gamma response power decreased with increasing motion velocity in all
participants who had reliable gamma responses under the ‘slow’ condition, with the
exceptionofthreesubjects(oneadultandtwochildren;Fig.4A,dashedlines),allofwhom
hadneurologicalconditionsrevealedpost-hoc(epilepsy,Arnold-Chiarimalformation,minor
motorticksandfrequentnightmares).Inthemajorityoftheparticipants,regardlessoftheir
age, the gamma response decreased already in the transition from ‘slow’ to ‘medium’
velocity (see two examples in Fig. 5A), although in a few subjects the ‘medium’ velocity
augmentedthegammaresponse,whichstarted toattenuateonlyunder the ‘fast’velocity
condition(Fig.5B).
The robustness of the gamma suppression with increasing velocity of visual
motionaswellasitsoverallsimilarityinchildrenandadultssuggestthatthisphenomenonis
not age-specific and reflects a verybasicmechanismunderlying thegenerationof gamma
oscillations in the visual cortex. Concurrently, as we mentioned in the introduction, the
gamma suppression phenomenon is at odds with the results of other MEG studies that
consistentlyreportedincreasesingammaresponsepowerwithincreasingexcitatorydriveto
thevisualcortex(Hadjipapas,etal.,2015;Hall,etal.,2005;MuthukumaraswamyandSingh,
2013;Peiker,etal.,2015;Perry,etal.,2015;Siegel,etal.,2007;Swettenham,etal.,2009).
Theoppositebehaviorofgammaoscillationsinourandotherstudiesfitswellthe
predictions from the Borgers and Kopell model (Borgers and Kopell, 2005) and may be
explained by an inverted U-shaped relationship between strength of excitatory drive and
power of gamma oscillations (Fig. 9). The reliable enhancement of gamma response
observed in MEG studies that manipulated excitatory drive with luminance contrast
(Hadjipapas, et al., 2015; Hall, et al., 2005; Perry, et al., 2015), eccentricity (van Pelt and
Fries, 2013), motion coherence (Peiker, et al., 2015; Siegel, et al., 2007), or compared
stationaryandslowlymovingstimuli(MuthukumaraswamyandSingh,2013;Swettenham,et
al.,2009)mightbeexplainedbyarelativelyweakexcitationproducedbysuchmanipulations
attheascendingportionofthebell-shapedcurve(Fig.9A).
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29
Figure 9. Ahypothetical relationship between power of gamma response and strength ofexcitatorydrive.A.Bell-shapeddependencyofgammapoweronthestrengthofexcitatorydrive. The previous reports on MEG gamma enhancement with increasing luminancecontrast,motioncoherence,decreasingeccentricity,ortransitionfromstationarytoslowlydriftinggratingsarecompatiblewiththeeffectsofmodeststimulusintensityattheupwardbranch of the bell-shaped curve. In our studies suppression of the gamma responsewithincreasingstimulusvelocityhasbeeninducedbystrongexcitatorydrivewhoseintensitywascloseto(slowvelocity)orwellabove(fastvelocity)thesuppressiontransitionpoint.B.Theschematic representation of the effects of optimal (blue) and elevated (orange, red) E/Iratioson thegammapowermodulation.The increasedE/I ratio shifts the transitionpointtowardshigherexcitatorydriveandresultsinreducedorabsentgammapowersuppression.
Atacertainhighleveloftheexternalexcitatorydrive(the‘suppressiontransition
point’),whentheFScellsaresufficientlyexcited,theylosetheircapacitytosupportgamma
oscillations, since they either walk out of phase with pyramidal cells or desynchronize
(BorgersandKopell,2005;BorgersandWalker,2013;Cannon,etal.,2014).Itisconceivable
thatinthemajorityofoursubjects(withtheexceptionofafewcasespicturedinFig.5Band
5C), the excitatory drive produced by the ‘slow’ motion was close to or above the
‘suppressiontransitionpoint’andthatthefurtherincreaseofvelocityuptothemediumand
high values put the visual networks in the high excitatory state corresponding to the
descendingportionofthebell-shapedcurve,thusresultinginrelativesuppressionofgamma
responsepower.
Remarkably, the model by Borgers and Kopell explains while the PING gamma
oscillations arenot supportedbeyond the30-90Hz frequency range (Kopell, et al., 2010).
Therefore,thegammaamplitudereductioninthe‘fast’velocityconditioniswellinlinewith
Gam
ma
pow
er
Excitatory drive
A
B
Balanced E/I
E>>IE>I
Gam
ma
pow
er
Excitatory drive
Orekhova et al, 2015current studySuppressionSuppression
transition transition pointpoint
Hall et al, 2005Siegel et al, 2007Swettenham et al, 2009Muthukumaraswamy,Singh, 2013Hadjipapas et al, 2015Peiker et al, 2015Perry et al, 2015
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30
accelerationofthevisualgammaoscillationsthatapproachtheupperborderofthisrangein
responsetothe‘fast’velocity(especiallyinchildren,seeTab.2).
4.4.GammasuppressionanditsrelationtotheE/Ibalanceinvisualnetworks
TheBorgersandKopell’smodelstatesthatthegammasuppressionwithincreasinglystrong
excitatorydriveoccursmoreeasilywhenexcitatorypostsynapticcurrentsinpyramidalcells
arewell compensated by inhibitory ones (Borgers and Kopell, 2005). Therefore, onemay
expect that at the same level of a sufficiently high external excitatory drive, the gamma
powersuppressionwillberelativelystrongerwhenthereisstrongerexcitationofinhibitory
neurons and/or weaker excitation of excitatory pyramidal cells (Fig. 9B). Since a greater
tonic excitation of the inhibitory neurons also accelerates gamma oscillations (Mann and
Mody, 2010), one can expect that individual variability in gamma suppression parameters
and gamma frequency are partially controlled by the same neuralmechanism. Therefore,
individualswithhighergammapeak frequency shouldbe likely todisplaygreatervelocity-
related gamma power suppression, which also has a steeper slope, i.e. gamma power
suppression peaks at a relatively lower excitatory drive. By the same token, both the
magnitudeandtheslopeofgammasuppressionshouldbereducedincaseofanelevatedE/I
ratio driven by either excessive excitation of excitatory circuitry or by relatively weak
inhibition. The predicted link between gamma suppression parameters, gamma frequency
andE/Ibalancewassupportedbyourdatainseveralways.
First, we found the predicted positive correlations between gamma suppression
parameters and peak gamma frequency (in children) or changes in frequency (in adults)
(Table4).Thedissimilarpatternof thecorrelationsmay reflect lowpowerof theanalysis,
butmayalsoreflectdifferentmechanismsoftheE/Ibalanceinthedevelopingandmature
brain.
Secondly, consistentwith results of theprevious behavioral (Melnick, et al., 2013)
andprotonmagnetic resonance spectroscopy (H1-MRS) (Cook,etal., 2016) studies linking
thestrengthofneuralinhibitioninthevisualcortexwithcognitivefunctions,wefoundthat
thestrongerand fastergammaresponsesuppressioncorrelatedwithhigher IQ inchildren
(Tab.6,Fig.8).ThiscorrelationsuggeststhatlowerE/Iratiointhevisualcortexinassociated
with better cognitive functioning in neurotypical children. It is however unclear if the E/I
balance in the visual cortex is important by itself or as a reflection of thewidespread E/I
level in the brain. Absence of significant correlations between general IQ and gamma
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31
suppressioninadultssuggeststhatanoptimalE/Ibalanceinthevisualcortexmightbeless
importantforthegeneralcognitivefunctioningofthematurebrain.
Thirdly, the deviations from the typical gamma suppression values seemed to be
associated with abnormally elevated E/I ratio in the visual cortex. Three out of 66 (39
childrenand27adults)participantswithhighlyreliablegammapeaks inthe ‘slow’velocity
conditionfailedtosuppressgammaoscillationsevenatthehighestvelocity/excitatorydrive
(see Fig. 4C for the spectra of two of these subjects), and their post-hoc examination
revealed neurological conditions that might be associated with cortical hyper-excitability
(epilepsy, Arnold-Chiari malformation and a case with minor motor tics and frequent
nightmares).Althoughmoresystematic investigation iswarranted, theseoutliers’dataare
generally in line with the prediction that the low or absent gamma suppression at the
descending branch of the bell-shaped curve is indicative of global imbalance in excitation
withinthevisualcorticalnetworks.
Ofnote,theunbalancedexcitationinvisualcortexofsubjectswithneuropsychiatric
disordersmight be reflected not only in an absent/reduced gammapower suppression at
thedescendingbranchofthebell-shapedcurve,butalsoasanabnormalgammapowergain
at its ascending branch. Indeed, Peiker et al (Peiker, et al., 2015) have found abnormally
strongmodulationof gammapowerbygradually increasing coherenceof visualmotion in
peoplewithautismspectrumdisorders. Investigationofgammaresponsemodulationasa
functionofexcitatorydriveatboththeascendinganddescendingbranchesofthebell-curve
wouldaddimportantknowledgeaboutE/Ibalanceinnormalandatypicalbrain.
4.5.Gammamodulationsandage
Highly reliable suppression of gamma power and increase of gamma frequency with
increasingvelocityofvisualmotionhasbeenobserved inbothchildrenandadults (Fig.6).
ThedevelopmentalstabilityofthegammamodulationssuggeststhattheglobalE/Ibalance
underincreasingexcitatorydriveisefficientlyregulatedinthehealthybrainthroughoutthe
broadagerangeofsubjectsincludedinthestudy.Moreover,giventhesubstantiallyhigher
gammafrequencyinchildrenascomparedtoadults(Tab.1,Fig.7B),theadjustmentofthe
globalE/Ibalanceintheimmaturebrainseemstobeachievedatahigherlevelofexcitability
ofbothEandIneurons.Thedevelopmentalstabilityofthegammaresponsemodulationsis
in linewithan invitroobservationthatthenumberof inhibitorysynapsesontheneuronal
branches scale together with the number of excitatory synapses during development,
resultinginarelativelystableE/Iratioacrossseveraldevelopmentalstages(Liu,2004).
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32
However, a few words of caution are warranted regarding the lack of a reliable
developmental trend in gammamodulationparameters. According to animal studies, the
maturation of neural processes underlying the E/I balance in auditory and visual cortices
takesplaceduringearlysensitiveperiodsofbraindevelopment(Froemke,2015).Allofour
participantswereolderthan6yearsofage,and it isnotunlikelythat infantsandtoddlers
would present gamma modulation parameters that are still age-dependent due to a
continuingdevelopmentalfine-turningoftheE/Ibalanceinthevisualcortex.Thiscouldalso
be true for theyoungest children fromour sample. These childrenweremore frequently
excluded from the gamma suppression analysis due to a low signal to noise ratio of the
gammaresponse.Whileonlyincludingcaseswithhighlyreliablegammaresponsesinterms
ofsignal-to-noiseratioallowedustoreducetheimpactofnoiseonthegammasuppression
parameters,italsoloweredtheproportionofyoungestparticipantsinourchildsample.
5.Conclusions
AlthoughalinkbetweengammaoscillationsandtheE/Ibalanceinneuralnetworksishardly
disputable,thehopethatthefrequencyorpowerofhumangammaresponsemayserveasa
single non-invasive indicator of the E/I balance is perhaps overly simplistic. Here, we
investigated thephenomenonofgammapowersuppressioncausedbygradual increase in
stimulus velocity in children and adults and provided evidence for its potential role as a
putativebiomarkerof theE/Ibalance in thevisual cortex.Our study resulted in twomain
novelfindings.
First, we found a substantial developmental slowing of visual gamma oscillations
fromalready7yearsofage,andthatthereforecannotbeexplainedby‘aging’(Gaetz,etal.,
2012).Thisfindingchallengestheprevailingview,whichpredictsthatmaturationalchanges
in neurotransmission should improve precision with which populational neural activity is
synchronizedand,asaresult, increasebothgammasynchronizationandgammafrequency
(Uhlhaas,etal.,2010).Giventheanimaldata(MannandMody,2010;WangandGao,2009),
thelikelymechanismfordevelopmentalslowingofgammaoscillationsisthedevelopmental
decrease in tonic excitability of the PV+ FS inhibitory neurons in the visual cortex.
Functionally, given the role of inhibitory transmission in neural plasticity, faster juvenile
visual gamma oscillationsmay be beneficial for perceptual learning, which proceedswith
higherintensityinyoungerascomparedtoolderbrains.
Thesecondnovelfindingisthedevelopmentalstabilityofthesuppressiveeffectof
anincreasingvelocityofvisualmotiononthestrengthofgammaresponsecoupledwithan
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33
acceleration of gamma oscillations. Although the suppressive effect of excessively strong
excitatory drive on MEG gamma power is well in line with the theoretical predictions
(Borgers and Kopell, 2005; Cannon, et al., 2014), to our knowledge it has not been
demonstratedbefore,withtheexceptionofourearlierstudiesinchildren(Orekhova,etal.,
2015; Stroganova, et al., 2015). Because gamma oscillations facilitate information
transmission (Vinck,etal., 2013), theireffective suppressionwitha ‘too strong’excitatory
drivemayhaveaprotectivefunctionviareducingthenumberofcorticalassemblesengaged
ininformationflowandpreventingcorticalhyper-excitationinresponsetosensorystimuli.
Given that the slope of gamma suppression correlatedwith the frequency of the
gammaresponseinthedevelopingbrain,wesuggestthattheseparametersaresensitiveto
partly inter-relatedneural processes.However,while the frequencyof gammaoscillations
predominantly depends on the tonic excitability of inhibitory neurons (Mann and Mody,
2010), efficient gamma suppression may reflect a global balance between
mutuallycounteractingexcitatoryandinhibitorycircuits.Thelinkbetweenthemagnitudeof
gamma suppression and IQ values in children points to the importance of an optimal E/I
balanceforcognitiveabilities.Aremarkabledevelopmentalstabilityofgammasuppression
in healthy brain and its atypical absence in a small proportion of our participants with
neurological abnormalities allow us to speculate that a gamma suppression deficit may
characterizeadisturbedE/Ibalanceinthehyper-excitablevisualcortexinindividualsovera
wideagerange.Duetothelackofdirectneurophysiologicalevidenceinthecontextofthe
same ‘visual motion’ experimental paradigm, this interpretation should be treated with
caution. However, it allows us to make several testable predictions for future research
regardingfunctionalconsequencesofindividualvariabilityingammasuppression.
Weexpectthatagammasuppressiondeficitatthehighlevelsofexcitatorydrivewill
characterize:patientswithseizureonsetzoneslocatedintheoccipitalcortex,neuro-typical
individuals with visual hypersensitivity, and patients from clinical groups characterized by
sensory modulation problems. Furthermore, a deficit in gamma suppression is likely to
correlatewith other non-invasive indexes of unbalanced excitation/inhibition in the visual
cortexprovidedby,e.g.,theH-MRSandvisualperceptualtasks.
In conclusion, we suggest that velocity-related changes in gamma oscillations
characterizeindividualvariationinE/Ibalanceandefficacyofneuralinhibitioninthevisual
cortex and may provide a valuable inhibition-based biomarker for patients with
neuropsychiatricdisorders.
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34
Funding
This work is financed by Torsten Söderberg Foundation (M240/13to CG) andthe Russian
ScientificFoundation(14-35-00060toTS).AuthorsJFSandBRaresupportedbytheKnutand
AliceWallenberg Foundation (grant 2014.0102), the SwedishResearchCouncil (grant 621-
2012-3673), and the Swedish Childhood Cancer Foundation (grant MT2014-0007). The
authorNHwassupportedbytheLifeWatchFoundation.TheauthorTSwassupportedbythe
CharityFoundation"WayOut".
Acknowledgements
Weheartilythankallparticipantsandchildrenfamiliesfortheirparticipationinthisstudy.
WearegratefultoMariaS.DavletshinaandAnnaV.Butorinaforhelpwithdatacollection.
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