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BiologicalPsychology74(2007)263–285 www.elsevier.com/locate/biopsycho Toward understanding respiratory sinus arrhythmia: Relations to cardiac vagal tone, evolution and biobehavioral functions Paul Grossmana,*, Edwin W. Taylorb aDepartmentofPsychosomaticandInternalMedicine,PsychophysiologyResearchLaboratory, UniversityofBaselHospital,Hebelstrasse2,CH-4031Basel,Switzerland bSchoolofBiosciences,UniversityofBirmingham,Birmingham,UnitedKingdom Accepted16November2005 Availableonline1November2006 Abstract Respiratorysinusarrhythmia(RSA,orhigh-frequencyheart-ratevariability)isfrequentlyemployedasanindexofcardiacvagaltoneoreven believedto bea direct measureof vagaltone. However,there are many significantcaveats regarding vagal toneinterpretation: 1. Respiratory parameters can confoundrelations betweenRSA andcardiac vagal tone. 2. Althoughintraindividualrelations betweenRSAand cardiac vagal controlare often strong, interindividual associations maybemodest. 3. RSA measurement is profoundly influenced by concurrent levels of momentary physical activity, which can bias estimation of individual differencesinvagal tone. 4. RSAmagnitudeisaffected bybeta-adrenergictone. 5. RSAandcardiac vagal tonecan dissociate undercertain circumstances. 6. Thepolyvagaltheorycontainsevolution-basedspeculationsthatrelateRSA,vagaltoneandbehavioralphenomena.Wepresentevidencethat thepolyvagaltheorydoesnotaccuratelydepictevolutionofvagalcontrolofheart-ratevariability,andthatitignoresthephenomenonofcardiac aliasinganddisregardstheevolutionofafunctionalroleforvagalcontroloftheheart,fromcardiorespiratorysynchronyinfishtoRSAin mammals. Unawarenessoftheseissuescanleadtomisinterpretationofcardiovascularautonomicmechanisms.Ontheotherhand,RSAhasbeenshownto oftenprovideareasonablereflectionofcardiacvagaltonewhentheabove-mentionedcomplexitiesareconsidered.Finally,arecenthypothesisis expandedupon,inwhichRSAplaysaprimaryroleinregulationofenergyexchangebymeansofsynchronizingrespiratoryandcardiovascular processes duringmetabolicand behavioralchange. #2006Elsevier B.V.Allrights reserved. Keywords: Cardiacvagalcontrol;Cardiacvagaltone;Respiratorysinusarrhythmia;Heart-ratevariability;Parasympathetic;Vagus;Autonomic;Cardiovascular; Evolution;Respiration;Polyvagaltheory 1. Introduction dependent upon the prevailing respiration rate (Eckberg, 1983).Furthermore,evenwhenautonomictoneremainsstable, Respiratory sinus arrhythmia (RSA) is a cardiorespiratory the amplitude of these rhythmic HR fluctuations (i.e. the phenomenon characterized in mammals by heart rate (HR) or magnitudeofRSA)isgreatlydependentuponbothrespiratory R-Rinterval(RRI)fluctuationsthatareinphasewithinhalation frequency and depth of ventilation (i.e. tidal volume; Hirsch and exhalation. Typically, HR accelerates during inspiration and Bishop, 1981). The central, neural, humoral and mechan- and slows down during expiration, but the exact phase ical feedback mechanisms that together generate RSA are a relationship between respiratory and HR oscillations is complexofintegratedrespiratoryandcardiovascularresponses (Grossman, 1983; Jordan and Spyer, 1987; Spyer, 1990). Therefore,RSAmustbeconceptualizedasaphenomenonthat * Correspondingauthor. directlyresultsfromtheinteractionbetweenthecardiovascular E-mailaddresses:[email protected](P.Grossman), [email protected](E.W.Taylor). and respiratory systems. 0301-0511/$–seefrontmatter#2006ElsevierB.V.Allrightsreserved. doi:10.1016/j.biopsycho.2005.11.014 264 P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 RSAhasbeenshowntoimportantlyreflectrhythmicwaxing 2001, 2003b). The theory maintains that RSA is generated in andwaningofcardiacvagalefferenteffectsuponthesinoatrial functionally distinct vagal systems that first evolved in the node and, therefore, HR (Eckberg, 2003; Hedman et al., brainstemofmammals(Porges,1995,2003b).Inrecentyears, 1995b).TherelationshipbetweenRSAandvagalcontrolofHR this theory has been expanded to encompass a wide range of has generated great interest among scientists who wish to postulates regarding physical, psychophysiological and even explore and exploit noninvasive estimates of cardiovascular socialfunctioninginhumans(e.g.Porges,2003b;Saharetal., autonomic control. Along a related line, evidence that RSA 2001). magnitude in humans is sometimes predictive of both The following six points will guide the structure of our physiologic and psychological morbidity has also engendered presentation: researchfocuseduponusingRSAmoreasamarkerofriskthan as an index of discrete parasympathetic cardiac control (e.g. 1. Respiratory parameters of rate and volume can confound Bigger et al., 1992; Hayano et al., 1990; Janszky et al., 2004; relations between RSA and cardiac vagal tone. Kluge et al., 1988; Nishimura et al., 2004). 2. Althoughwithin-subjectrelationsbetweenRSAandcardiac Whatever the basic motivation for investigation, a firm vagal control are often strong (when properly measured), understandingofwhatRSAis–andwhatRSAisnot–would between-subject associations may be relatively weak. seem essential. All too commonly, a thorough grasp of RSA 3. RSA measurement is strongly influenced by concurrent appears missing in the literature, and this has led to levels of momentary physical activity, which can bias contradiction, confusion, misinterpretation and misattribution estimation of individual differences invagal tone. with respect to research findings and appropriate methods of 4. RSAamplitudeisaffectedbybeta-adrenergictoneandmay measurement and analysis. The major purposes of this article not be a pure vagal measure. are (1) to clarify the nature of RSA, (2) to elucidate certain 5. RSA and cardiac vagal tone may dissociate under certain misconceptionsregardingRSA,and(3)toelaborateuponanew circumstances. theoretical model that integrates RSA and biobehavioral 6. Basic assumptions of the polyvagal theory regarding RSA functioning. In this model, RSA plays a significant role in are at odds with current knowledge of the neuroanatomical coordinating physical energy requirements and continuously and functional evolution of cardiac vagal control. changing behavioral activities. RSA – in addition to being simply employed as a cardiac RSAcanbequantifiedinanumberofdifferentways,most vagalindex–hasbecomeembeddedinatheoreticalframework commonly including spectral analysis, time-domain peak- of evolutionary, biological and psychobiological adaptation. valley analysis or application of a band-pass filter. Units of Therefore, we will address both proximal concerns about its measurement can also consequently vary. For time-domain accuracyasaparasympatheticmeasureandbroaderaspectsof measures, RSA is typically estimated in ms (e.g. the its functional roles and its evolutionary origins in non- inspiratory–expiratory difference in RRI). With spectral mammalian vertebrates. Specifically, we will discuss the analysisandotherfrequency-domainapproaches,thevariation biologicalfunctionthatRSAislikelytoserveincoordinating ofRRIoccurringwithintherangeoftherespiratoryfrequency and maintaining interplay between the respiratory and isestimated;thusms2isfrequentlyemployed,consistentwith cardiovascular systems, which are together responsible for usual statistical units of variance. Often RSA measures are meeting metabolic demands over a range of highly variable logarithmicallytransformedtonormalizedistribution,butthis internal and external conditions. Both respiratory and is not always the case. Because different methods are almost cardiovascular processes are responsive not only to gross perfectly correlated with each other when properly employed metabolic demands but also to levels of alertness and, in (Grossman et al., 1990b), we will not detail quantification humansatleast,differenttypesofemotion,mentalactivityand methodswhenreviewingtheliterature,exceptwhenitmightbe arousal(andthelattermayonlyminimallyornotatallchange pertinenttoaspecifictopic.Afullertreatmentofmeasurement metabolism). Coupling of respiratory and cardiovascular issues is beyond the scope of this article. systems, consequently, are likely to be pertinent to psycholo- gical and behavioral variations, as well as physiological state. 2. Respiratory confounds in RSA estimation of cardiac Ourargumentsfallundertwothemes:(1)clarificationofthe vagal tone relationships between RSA and vagal tone in mammals and particularly humans, and (2) the evolution of central, vagal NumerousstudieshavedocumentedtheeffectsuponRSAof control of cardiorespiratory interactions in vertebrates. With voluntaryandspontaneouschangesinrespirationrateandtidal respect to evolutionary issues, we will also critique the volumeundersteady-stateconditionsandduringmentaltasks. polyvagal theory (Porges, 1995), a currently popular view Steadystate,inthiscontext,connotesconditionsduringwhich based upon assumptions about the evolutionofthe autonomic metabolicactivityandautonomictoneremainlargelyconstant. nervoussystem.Thepolyvagaltheoryattemptstointroducean Asampleofthesestudiesincludethefollowing:Ahmed etal. evolutionary perspective into relations between parasympa- (1982, 1986), Althaus et al. (1998), Angelone and Coulter thetic activity and behavior and toexplainsituations in which (1964), Badra et al. (2001), Ben Lamine et al. (2004), Brown changes in RSA clearly do not correspond to alterations in et al. (1993), Clynes (1960), Cooke et al. (1998), Eckberg vagally mediated HR (i.e. cardiac vagal tone; Porges, 1995, (1983, 2003), Eckberg et al. (1984), Grossman (1992), P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 265 Grossman et al. (1991, 2004), Grossman and Kollai (1993), efferent effect upon HR or RRI (Grossman and Kollai, 1993; Hayanoetal.(1994),Hedmanetal.(1995a),HirschandBishop Hayanoetal.,1991;Kollaietal.,1994).Cardiacvagaltoneis (1981), Patwardhan et al. (1995), Penttila et al. (2001), not constant for an individual but changes greatly as a Poyhonen et al. (2004), Ritz et al. (2001), Saul et al. (1989), consequence of age, posture, metabolic activity and other Schipkeetal.(1999),Scottetal.(2004),Selmanetal.(1982), factors(e.g.CraftandSchwartz,1995;Robinsonetal.,1966). Stark et al. (2000), Strauss-Blasche et al. (2000), Taylor et al. Anumberofinvestigationshaveshownthatpharmacologically (2001b), and Wilhelm et al. (2004). induced changes incardiacvagaltonecanbetrackedbyRSA Resultsacrossstudiesarehighlyconsistentandverysimilar, amplitude: thus, stepwise decreases in cardiac vagal tone no matter how RSA is quantified (e.g. including the most produced by the cumulative action of increasing doses of the common methods ofspectralanalysis,peak-valleyanalysis or muscarinic cholinergic receptor antagonist atropine, or other digitally filtered time-domain procedures). RSA magnitude vagolytic(i.e.vagallyblocking)agents,areaccompaniedbya understeady-stateconditionsisinverselyrelatedtorespiration dose-related reduction in RSA magnitude (Dellinger et al., rateanddirectlyrelatedtotidalvolume.Hence,rapidshallow 1987; Medigue et al., 2001; Pyetan et al., 2003; Raczkowska breathingwillgreatlyattenuateRSA,andslowdeepbreathing etal.,1983;Scheininetal.,1999).Atropinedoesnotproducea will produce maximal RSA levels. Respiration rate and tidal systematic effect upon respiratory parameters; therefore, volume produce independent and interactive effects (e.g. alterations in cardiac vagal tone and RSA during atropine Hirsch and Bishop, 1981). For example, increases of tidal administration are not accompanied by changes in respiration volume at slower respiration rates will cause larger RSA rateortidalvolume(Elstadetal.,2001;GrossmanandKollai, elevations than the same tidal volume increases at more rapid 1993; Rauniar et al., 1998). respiration rates, although natural changes in respiration and Respiratory influences upon RSA amplitude become a tidalvolumeareusuallyreciprocalatstablelevelsofmetabolic problem for assessment of cardiac vagal tone (1) whenever activity.Furthermore,these respiratoryinfluences aresizeable respiratoryrateand/ortidalvolumesubstantiallydifferbetween within the normal physiological range of respiration rates and groups or conditions, and (2) whenever RSA, respiratory tidal volumes that characterize states of rest and mental or parameters and cardiac vagal tone all do not systematically emotionalactivation(e.g.Althausetal.,1998;Bernardietal., covary with each other. We have examined this issue 2000;Grossmanetal.,1991).Therefore,anincreaseofonly3– (Grossman et al., 1991) by adapting the same kind of 4 breaths/min from rest to mental task may attenuate RSA pharmacological autonomic blockade paradigm that has long magnitudesubstantially. Consequently, RSA magnitude under been employed in physiological studies to characterize conditionsofmentalactivationoremotioncanbesignificantly autonomiccontrolduringspecificchallengessuchasdynamic altered solely as a function of those respiratory changes. orisometricexercise.Toevaluatethedegreeofcovariationof Measurements of RSA magnitude are commonly taken to RSA,respirationandvagaltone,weexpandedthetaskdomain indicate the level of cardiac vagal tone. This, as defined and to include mental tasks (a cognitive reaction-time task) and understood in cardiovascular physiology, is the mean vagal ventilatory tests (e.g. voluntary hyperventilation and CO 2 Fig.1. Meanrespiratorysinusarrhythmia(RSA;a)andrespirationperiod(b)acrossdifferentbehavioraltask;datafromGrossmanetal.(1991):fivebaselinephases (base),fourpaced-breathingphases(pb;7,11and17cpm;max=7cpmatlargetidalvolume),hyperventilation(hyp),twocognitivereaction-timephases(rt),cold pressor(cold),bicycleergometryat0,25,50,75,100and125W(erg),andrecovery(recov).NotethesimilarpatterningofrespiratoryperiodandRSAovertherange oftasks,suggestingtheveryclosewithin-individualrelationshipthatwasfound. 266 P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 rebreathing):healthysubjectswereintravenouslyadministered autonomic tone appeared to be relatively constant. Tasks a dosage of propranolol sufficient to effectively block includedcompletionofwrittenpsychologicalinventories,two sympathetic, beta-adrenergic influences upon HR. Because rest phases, guided meditation, nonstressful speaking, quiet variations in normal HR almost exclusively derive from reading, attention to auditory stimuli (five levels), a memory- sympathetic beta-adrenergic and vagal effects, this meant that comparison reaction-time task (three levels), a computerized HR changes under pharmacological beta-blockade could be multiple-choice math task, and a post-task recovery period. ascribed solely to alterations in vagal tone. We were able, Forty healthy adults (24–40 years) were tested. In order to therefore, to answer the question of whether changes in RSA create the least stressful environment possible, tasks were necessarily reflect alterations in cardiac vagal tone when administeredinacomfortable,nonclinicalsettingbyanfemale respiratory rate and tidal volume vary. assistantchosenandinstructedtobeveryfriendlyandrelaxed Our findings clearly indicated that behaviorally induced withsubjects.Wewantedtoexaminethephysiologicaleffects fluctuationsincardiacvagaltonewerenotdiscerniblytracked of discrete mental tasks, themselves, upon cardiorespiratory bychangesinRSAmagnitudeundervariablerespiration.RSA variables, relatively unconfounded by emotional stress. magnitude was much more closely related to changes in No task-related HR changes were found. Self-reported respiratory parameters – particularly respiration rate – than to negative affect (anxiety and anger/irritation complaints) also anychangesincardiac vagal tone (Fig.1a andb).It wasonly barely changed on a 10-point scale (from a mean low of 0.4 whenrespiratoryvariableswerestatisticallycontrolled(usinga during meditation to a high of 0.9 during stress tasks). within-individualregressionapproach)thattherewasaclearly Therefore, results indicated that cardiac autonomic tone and improved but still imperfect association between RSA and mood were not significantly altered as a function of task. vagal tone (Fig. 2a–c). Respiratory parameters, however, did reliably vary across Asecondautonomicblockadestudy(GrossmanandKollai, tasks. Both respiration rate and tidal volume showed large 1993) that manipulated respiratory rate and volume under condition effects, as did peak-valley RSA (see Fig. 3a and b). individual and dual beta-adrenergic and vagal blockade Using multiple regression with RSA as criterion measure and provided additional evidence that respiratory variation con- respiration rate and tidal volume as predictors, the average foundsRSAindicesofwithin-subjectchangesincardiacvagal within-subject R was .76, indicating that almost 60% of the tone. Alterations in respiration rate and tidal volume had RSAvariancecouldbeaccountedforbyrespiratoryparameters. profound effects upon RSA magnitude that were unrelated to In the complete absence of parallel HR changes (i.e. no directly determined levels of cardiac vagal tone. suggestion of cardiac autonomic change), these findings We recently addressed the question of whether, under underscore the powerful confounding effects of respiratory relatively constant levels of cardiac autonomic tone, normal parameters on RSA under conditions of psychological respiratory variations to psychological tasks would signifi- activation. cantly alter RSA independently of cardiac vagal tone (Gross- Arecent paperhas suggestedthatrespiratoryrate andtidal man and Stemmler, in preparation). Within-subject relations volumeneednotbeconsideredinRSAstudiesofcardiacvagal between RSA and respiratory parameters were examined control during non-exercise behavioral variations (Houtveen during performance of a variety of mental tasks during which etal.,2002).However,thesinglementalstresstaskemployedin Fig.2. Cardiacvagaltone(a),respiratorysinusarrhythmiaadjustedwithinindividualforrespiratoryvariables(b)andrawunadjustedRSA(c)acrossconditionsfrom (Grossmanetal.,1991).Cardiacvagaltone(beta-blockedHR)andunadjustedRSAareobviouslynotstronglyassociated.However,RSA,correctedforrespiratory parameters,showsaclearcovariationwithchangesincardiacvagaltone. P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 267 Fig.4. AsimulatedmodelofrelationsbetweenRSA(top)andburstsofvagal efferenttraffictotheheart(bottom)asafunctionofrespirationperiod(vertical arrow indicates RSA magnitude). The first three RSA cycles occur at a respirationperiodthatistwiceaslongasthelastthreecycles.Notethatthe samequantityofvagalburstsoccurpertimeunit(i.e.sixburstsduringoneslow breath;sixbreathsduringtworapidbreaths),indicatingthesamemeanlevelof vagaldischargeperminute,butadifferentpatternofvagaldischargeandimpact onRSAatdifferentrespirationrates. Fig.3. RSAandrespirationperiodacrossanumberofmentaltasks(Grossman and Stemmler, in preparation, n=40 healthy subjects): completing written psychologicalinventories(PSY),conversationalspeaking(SPEAK),pre-base- whichthesamemeanvagaldischarge(i.e.cardiacvagaltone) line(PRE),baseline(BASE),guidedmeditation(MEDIT),reading(READ), occurs at two different respiration rates, with the faster rate auditoryattentiontask(ATTEN),cognitivereaction-timetask(RT),computer- ized, nonverbal math task (MATH), and recovery (RECOV); five levels of twice the respiratory period length as the slower rate. In ATTEN and three levels of RTaveraged. RSA and respiratory period show agreementwithcurrentknowledge,vagalefferentdischargeto similarpatternsofchange,andRSAwasnotrelatedtoHRacrossconditions theheartislargelygated(blocked)duringinspirationandactive (notshown);HRonlyvariedasafunctionoftime(decreasingacrossthefixed during expiration. orderoftasks). The figure depicts an equal number of vagal bursts during twoshorterbreathsasduringonelongerbreath(i.e.sixbursts), that study exerted an unusually small effect upon respiration indicating the same mean vagal discharge per minute (i.e. rate(<2breaths/min)comparedtowhatothersandwetypically cardiac vagal tone) for faster and slower breathing. The close find (e.g. Figs. 1 and 3). It may be expected that smaller groupingoffiveburstsduringtheexpirationofslowbreathing respiratory changes will have lesser effects on RSA. iscertaintoproducegreaterexpiratoryreductionofHRthanthe Additionally, determination of cardiac autonomic control meretwoburstsduringtheexpirationwhenbreathingistwice was made purely on the basis of indirect sympathetic and asfast.Hence,theaveragecardiacvagaltoneremainsthesame, vagal indices, and they ignored potentially important sympa- although RSAmagnitude is verydifferentduringrapidversus thetic–parasympathetic interactions (see later discussion). slow breathing. The varying pattern and magnitude of RSA Nevertheless,thisstudyshouldremindusthatnotallconditions would tell us little about tonic vagal mechanisms but does will exert significant effects upon respiratory parameters (e.g. indicate that breathing frequency has changed the phasic Gianaros and Quigley, 2001; Gianaros et al., 2001; Grossman pattern. etal.,2001).Intheabsenceofrespiratorydifferencesbetween groups or tasks, the respiratory confound is obviously not a 2.2. Practical solutions to exclude or control for problem. Nevertheless, as indicated in the preceding discus- respiratory variables when measuring RSA sion, respiration is oftenvariable and may significantly affect RSA magnitude, independently of changes in cardiac vagal Basedontheprecedingdiscussion,itshouldbeobviousthat tone. The only way to ascertain whether RSA differences are respiratoryparametersmayconfoundtherelationbetweenRSA related to respiratory parameters in a particular study is to andcardiacvagaltone.Thereare,nevertheless,somestrategies measure both respiration and RSA, as well as to examine thatcanbeemployedtoeliminateoratleastreducetheproblem relations between the two. (Grossman et al., 1991, 1990a; Wilhelm et al., 2004). One approach, sometimes possible, is to have subjects pace their 2.1. Why does RSA, unrelated to vagal tone, vary with breathingatacertainrateduringstudytasks.Wehavefoundan respiration? auditorysignalthatpatternsinspirationandexpirationtimesto be most effective, in terms of comfort, ease, and quickness to In order to understand the autonomic contributions to the learn (Grossman et al., 2001; Wilhelm et al., 2004). This phasicwaxingandwaningofHRthatdefineRSA,considerthe procedureisfeasiblewhenotherbehavioraldemandsareabsent distinctionbetweenphasicandtonicinfluences.Assumingthat orminimal(restingbaseline,oraneasyattentiontask).Itdoes, RSAisprimarilyvagallymediated,themostlikelyexplanation nevertheless, require pre-task training to ensure that subjects is that those RSA variations that are due to changes of are comfortable with the pacing, can perform it rather respiration rate and volume, represent merely differences in automatically and can find the right depth of breathing, so phasicpatterningofvagaleffectsuponHR,withoutnecessarily thattheydonothyperventilate(i.e.thattheydonotbreathetoo reflecting differences in mean vagal influence upon the heart. deeply). With sufficient training there is evidence that Clearevidenceforthiseffecthasbeenshownindogs(Hedman respiratory pacing even under more complex psychological etal.,1995a).ThesimulateddatainFig.4illustratesacasein demands does not notably distort normal cardiovascular 268 P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 responses (Grossman et al., 1990a,b), although this approach circumstancesinwhichrespiratoryparameterspartiallycovary may not be easy to achieve, especially with mentally more with vagal control. demanding tasks. Yet another approach is to pace subjects across the normal ObjectionsthatpacedbreathingaffectsRSAdifferentlythan physiological range of respiration rates during a baseline spontaneous breathing are largely unsupported: the vast period. Once again, care must be taken in training subjects to majority of carefully performed investigations support the ensurethatsubjectsremaineucapnic(i.e.donothyperventilate) idea that relations between RSA and respiratory measures and are not so uncomfortable or distressed by the pacing that remain the same under spontaneous and voluntarily paced autonomic tone changes. We have found that with clear respiratory conditions (e.g. Ben Lamine et al., 2004; Bloom- instruction,mostsubjectscanordinarilylearnwithin10minto fieldet al., 2001; Eckberget al.,1976; Grossmanet al.,1991; comfortablypacetheirbreathingatarangeofrates,atthesame HirschandBishop,1981;Patwardhanetal.,2001,1995).This timemaintainingbaselineHRsandavoidinghyperventilation. makes sense, because respiration during awake states is Also stableestimatesofRSAcan beacquiredwithpacings of importantly under the regulation of higher brain centers that about 1–1.5min per respiratory rate. Therefore, even pacing control voluntary behavior (Longobardo et al., 2002). There- across five frequencies can be accomplished without exces- fore, covariation between RSA magnitude and respiratory sively prolonging a protocol. The regression line of RSA on parametersduringalertstatesinherentlyreflectstheinteraction respiratoryparameterscanthenbeusedtoestimatetask-related of cardiovascular control mechanisms and higher central RSA changes that systematically exceed or are lower than nervous system (CNS) behavioral control of breathing. expected values (i.e. reflecting cardiac vagal augmentation or Another strategy is statistical control for respiratory decline, respectively). parameters, using covariance procedures. This is a frequently Tidalvolumeisoftenconsideredalessimportantrespiratory employed approach (e.g. Burleson et al., 2003; Hughes and variable to control in RSA research (Berntson et al., 1997). Stoney,2000),butisproblematicwhenasimplebetween-group Nevertheless, tidal volume can have marked independent analysisofcovarianceisperformed,withrespiratorymeasures effects upon RSA magnitude (Hirsch and Bishop, 1981), and ascovariates:relationsbetweenRSAandrespiratorymeasures attentiontotidalvolumemaybewarrantedwheneveritchanges aresystemic,thatistosaythattheserelationshipsaretypically substantially and these changes are not tightly reciprocally verystrongwithinindividualsbutnotbetweenindividuals(e.g. related to changes in respiration rate (e.g. Grossman et al., BenLamineetal.,2004).Thisisbecause(a)themagnitudeof 1991, 2004; Ritz et al., 2001). Tidal volume can be RSA is highly variable between subjects, and (b) the slope of nonintrusively assessed rather easily and inexpensively using theregressionbetweenRSAandrespiratoryvariablescanalso air bellows strain gauges (see Morel et al., 1983). varygreatlyfromsubjecttosubject,independentofindividual A common approach that adjusts for the influence of tidal differences in RSA magnitude, even at very similar levels of volumeuponRSAistocalculatethetransferfunction(Berger within-individualcorrelation.Anormalanalysisofcovariance etal.,1989;Grossmanetal.,1991,2004;Wilhelmetal.,2004). approach pools between- and within-subject variance and can ThisprocedurederivesthegainofRSArelatedtotidalvolume lead to erroneous conclusions about the contribution of (ms RSA per liter tidal volume). The measure is simply RSA respiratory parameters to RSA fluctuation, due to violations dividedbytidalvolumewhentimedomain-measuresareused, of assumptions concerning homogeneous variances/covar- orthetransferfunctionfromcross-spectralanalysisoftheRRI iances per cell (Browne and Shapiro, 1991). Simulated data andrespiratorytimeserieswhenspectralanalysisisemployed. inFig.5a–dillustratethispoint,bydisplayingthatevenwitha In both cases, it characterizes the amount of RSA amplitude largedifferencebetweengroupsinrespiratoryperiodresponse change per liter tidal volume. Due to the reciprocal relation from baseline to task, analysis of covariance effects for RSA betweenrateandtidalvolume,thisadjustmentmaydampenor controlledforrespiratoryperiodarestillsignificant;eachofthe eveneliminatetheRSAdependencyuponrespirationrate:inan simulated subjects showed a covariation between RSA and ambulatory study of alert, active subjects (Grossman et al., respiratoryperiod,buttheslopesofthewithin-subjectrelations 2004), the transfer function was more closely associated with were highly variable within and between cells. cardiac vagal tone than raw, unadjusted RSA; additionally A more appropriate procedure may be a within-subject statisticalcontrolforrespirationratedidnotimprovethedegree approach in which RSA is residualized against respiratory ofcorrelationbetweentheadjustedmeasureandcardiacvagal variables (Grossman et al., 1991). This is performed when tone.Ontheotherhand,thetransferfunctionmeasureappears respiration rate or tidal volume changes as a consequence of to remain importantly related to respiration rate under experimentalconditionsortime.Severalconditionormeasure- laboratory conditions (where physical activity does not exert ment epochs are needed to compute individual regressions. a large impact on cardiac vagal tone; Berger et al., 1989; Condition levels of RSA are regressed against respiration Grossman et al., 1991; Wilhelm et al., 2004). Therefore, variablesusingamultipleregressionanalysis,andtheresiduals transfer function analysis can be used as an adjustment to are used as an index of vagal tone (RSAvariation dispropor- variationsintidalvolume,and,perhaps,requiresnoadditional tionaltorespiratorychange;positiveresidualsindexincreasein control for respiration rate when the major focus is upon cardiac vagal tone, and negative values reflect vagal with- metabolically associated changes in cardiac vagal tone (as in drawal; see Fig. 2b). However, this procedure may yield a mostambulatorystudies).However,thisparameteralonedoes somewhatconservativeestimateofcardiacvagalcontrolunder not appear adequate for evaluating tonic vagal changes under P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 269 Fig.5. SimulatedrespirationperiodandRSAdataoftwogroups(experimentalvs.control)duringrestandtask.RSAandrespirationperioddecreasedfromrestto task;thecontrolgroupshowedlargerchanges(meanchangesinaandb).(c)and(d),bothindividualdata,indicatethatthecontrolgroupconsistentlymanifested largerdecreasesinrespirationperiod,althoughthemaineffectforRSAchangewasstillsignificantafteragroupanalysisofcovariance(ANCOVA)adjustment(see b).Inallcases,RSAdecreasewasaccompaniedbyrespirationperiodreduction,although,correspondingtorealfindings,within-individualslopesoftherelationwere highlyvariable. the typically sedentary circumstances of most psychophysio- r=0.9), methodological issues cast doubt over the actual logical or clinical investigations. strength of the relation between RSA and vagal tone in a The above-described approaches all have methodological homogeneous population: in one study (Fouad et al., 1984), and practical limitations. Furthermore, there is no systematic hypertensives and normotensives were combined in the data evidence about which method is superior for estimation of set.ItiswellknownthathypertensionreducesRSAandvagal cardiac vagal tone. Hopefully enhanced awareness of the tone, and this would serve to exaggerate both the range of problem of respiratory confounding of vagal tone estimation normalvariationofmeasuresandthecorrelationcoefficient.A will lead to additional research regarding this matter. similar effect could be expected from the other investigation (Hayano et al., 1991) that pooled half sedentary and half 3. Individual differences in vagal tone may not always physically active subjects in the analyzed sample (physically be reflected by variations of RSA activeindividualsoftenshowhigherlevelsofRSA,e.g.Dixon et al., 1992; Shin et al., 1997). The other larger and homoge- Studies validating RSA as a within-individual index of neoussampleofyounghealthysubjects(GrossmanandKollai, cardiacvagaltonehaveshownRSAtodecreaseproportionately 1993; Kollai and Mizsei, 1990) reported much more modest tolevelsofatropine-inducedcardiacvagalwithdrawal.Alonga correlationsbetween0.5and0.6,indicatingthatonly1/4to1/3 different line, individual differences in cardiac vagal tone of the individual variation in cardiac vagal tone could be amonghumansaredefinedasthedecrease inmeanRRI(ms), explained by RSA alone, even when respiratory parameters produced by complete vagal blockade using atropine or some werecontrolled.However,theinclusionofHRasanadditional other vagolytic drug under basal conditions. In other words, predictor increased explained variance to 76% (r=0.9). cardiacvagaltoneisoperationalizedasthedifferencebetween Taken together, these studies indicate that caution is the average RRI before atropine infusion and the mean RRI warranted when employing RSA as an index of individual after maximal dose of atropine (at which HR change is differences in cardiac vagal tone. There is apparently a maximal). Several studies have examined the correlation relationship, but it has not been demonstrated to be close between RSA and this pharmacological measure of cardiac enoughtoassumeRSAtobemorethanroughlyassociatedwith vagaltone,consideredthegoldstandardofestimationinhuman individualvariationsincardiacvagaltone.Infact,inonesetof cardiovascularphysiology(Cacioppoetal.,1994;Fouadetal., studies, resting HR, in comparison to RSA, was much more 1984;GrossmanandKollai,1993;Hayanoetal.,1991;Kollai highlycorrelatedtocardiacvagaltone(GrossmanandKollai, and Mizsei, 1990; Maciel et al., 1985). All but two studies 1993;KollaiandMizsei,1990);alaterreportofasmallsample (Cacioppoetal.,1994;Macieletal.,1985)foundasignificant of female students yielded similar results (Cacioppo et al., correlationbetweencardiacvagaltoneandRSA.However,the 1994). These findings suggest the utility of including both extent of the associationvaried widely in those investigations variables whenever predicting individual differences in thatdidfindarelationship,withr’srangingfrom0.5to0.9.In cardiac vagal tone. They also suggest that baseline HR may the two studies with the highest level of association (both be as good or better an index of individual differences in 270 P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 cardiac vagal tone than RSA. This evidence has long been thesamestudythatthedistinctioninactivitylevelinthelowest neglected in the literature and may have implications for our two quintiles was extremely subtle (see Fig. 7). Nevertheless, understanding of RSA and autonomic control. Exactly what RSAdifferedmarkedlyandveryreliablybetweentheselowest individual differences in RSA represent, thus, remains an quintiles of activity (see Fig. 6).Therefore, it is plausible that intriguing question. evensmalllaboratorydifferencesinmovementduringbaseline measurement (i.e. frequent postural shifts, tapping or even 4. Concurrent physical activity alters cardiac vagal subtlelimborbodymotion)mayproduceeffectsuponRSAthat tone and RSA could be wrongly inferred as evidence of constitutional differences in autonomic control. Simultaneous monitoring Recent evidence (Bernardi et al., 1996; Grossman et al., of activity in field, experimental and clinical settings may, 2004)showsthataccurateestimationofRSAisseriouslybiased therefore, be required when examining group differences in byvariationsinconcurrentphysicalactivity.Heartrateduring RSA, especially when group effects, as so often the case, are mild-to-moderatechange inphysicalactivity,characteristicof significant but relatively small in magnitude. normal variations of daily activity, is predominantly under parasympathetic control (Boushel et al., 2001; Ekblom et al., 5. RSA is affected by sympathetic tone and may not be 1972; Epstein et al., 1965; Grossman et al., 1991; Hopkins a ‘pure’ vagal index et al., 2003; Janicki et al., 1996; Maciel et al., 1986; O’Leary and Seamans, 1993; Robinson et al., 1966, 1953; Rowell and As previously mentioned, within-individual validation O’Leary, 1990; Vatner and Pagani, 1976). Thus, disease- studies of RSA are based upon evidence of changes in RSA specific, temperamental or other psychological effects upon during progressive pharmacological blockade of cardiac range, frequency and duration of daily activity may interact parasympathetic control (Ali-Melkkila et al., 1991; Coker withandconfoundthe assessmentofindividual differencesin etal.,1984;Dellingeretal.,1987;Hayanoetal.,1991;Juluand autonomicregulationandRSAduringambulatorymonitoring. Hondo, 1992; Medigue et al., 2001; Pyetan et al., 2003; Markers of cardiac vagal activity may reflect not only Raczkowska et al., 1983; Scheinin et al., 1999). In almost all individualdifferencesinconstitutionalparasympatheticcontrol studies, an exponential reduction of RSA (quantified in butalsovariationsindailyactivitypattern.Fig.6illustratesthe different ways) is found as HR rises. In other words, HR extent of effects of concurrent activity upon RSA magnitude increasesasafunctionofprogressiveattenuationofvagaltone, amongyoung,healthyadults(Grossmanetal.,2004),displayed and RSA tracks that change (exponentially) and is, conse- as a function of quintiles of physical activity during awake quently, assumed to be a noninvasive marker of the changing hours. There is a systematic decrease in RSA as activity mean level of cardiac vagal tone. increases. HR fluctuations, as previously noted, are under the joint Although it seems clear that certain clinical groups may control of sympathetic beta-adrenergic and parasympathetic differinactivityfromhealthyindividuals,itislessobviousthat branches of the autonomic nervous system. In some of these evensmalldifferencesofactivityinthelaboratoryorfieldmay validation investigations, pretreatment with a beta-adrenergic alsohavesignificanteffectsuponRSAmagnitude:wefoundin blocking drug was performed to prevent cardiac sympathetic influences fromaffecting thefindings(e.g. Coker etal., 1984; Hayano et al., 1991; Medigue et al., 2001). Sympathetic blockade made little difference, in terms, of the relative relationsfoundbetweenRRIandRSAduringprogressivevagal Fig.6. RSAmagnitude(lnspectralpower)asafunctionofquintileofphysical activity(basedonminuteventilation,V )duringawakeambulatoryrecording min over12hin40healthysubjects(fromGrossmanetal.,2004).Quintileswere determined by evenly distributing activity levels over time (i.e. the highest quintilebeingequivalenttomeanRSAforthat20%ofthedayduringwhich Fig. 7. Physical activity levels (V ) across the quintiles (Grossman et al., min V washighest;thisanalysiswasmadeforeachsubject,thenaveragedoverall 2004),butnotreportedthere);quintilecalculationdescribedinFig.6.Notethat min subjects).RSAvariedlawfullyacrossalllevelsofactivity,asindicatedbythep physical activity is relatively sedentary during normal awake functioning, values. especiallyatthelowesttwoquintiles. P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 271 withdrawal, attesting to the parasympathetic effects of the the presence and in the absence of mild-to-moderate vagolyticdrugs(e.g.GrossmanandKollai,1993).However,an sympathetic stimulation. In comparison to a background of important finding in a large number of dual cardiac blockade no sympathetic activity, even mild sympathetic stimulation investigations(vagalandsympathetic)wasthatbeta-adrenergic drasticallyattenuatedRSA,despitethefactthatmeanlevelsof blockade augmented RSA under baseline conditions (e.g. efferent vagal traffic to the heart remained constant. Eckbergetal.,1976;Cokeretal.,1984;GrossmanandKollai, What seems clear from this and other investigations is that 1993; Pitzalis et al., 1998; Taylor et al., 2001b), unrelated to even mild levels of sympathetic activity can substantially respiratory alteration. This effect was often relatively large depress RSA, as a function of either sympathetic–vagal (RSA increases typically (cid:2)30%) and was independent of interactionsoradirectsuppressiveeffectuponRSAmagnitude. whether the beta-blocker was cardiac-specific (i.e. affected Inhumanstudies,thereareindicationsthattheinfluenceof only the periphery) or had central effects because the drug beta-blockadeonRSAcanberemovedorgreatlyattenuatedby crossed the blood–brain barrier (Pitzalis et al., 1998). Evenin asimpleprocedurethatnormalizesRSAformeanRRI(Hayano small-sample studies in which this effect was not significant, et al., 1990): mean RSA tended to increase under beta-blockade, e.g. RSAnorm Cacioppo et al. (1994). For example, beta-blockade during sffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi baselinesittinginthelatterinvestigationinducedameanRSA ðspectral power of high-frequency RRI powerðms2ÞÞ ¼ increase of 65% when reported natural log units were mean RRIðmsÞ transformed to ms2 spectral power (28% if converted to time domain measures). Inthecaseoftime-domainpeak-valleyamplitudemeasures Beta-adrenergiceffectsuponRSAmagnitudearerelevantfor (which are linearly related to the square root of the spectral physiological and psychophysiological studies, because the power;Laudeetal.,1995),thepeak-valleymeasureisdivided changeincardiacsympathetictone(oftenabout150msRRIor by RRI. 10bpm HR; e.g. Cacioppo et al., 1994) is within the range of Thisnormalizedindexhasbeenfoundtobemoresensitive whatcanbeexpectedinlaboratorysituationsoramongdifferent to incremental vagal blockade than more commonly used clinicalsamples.ThefindingofsympatheticeffectsuponRSA indices (e.g. the spectral power uncorrected) in one sophisti- magnitude points to a serious problem of intra-individual cated and well-documented pharmacological investigation validationstudies.Namely,throughoutthevalidationliterature, (Scheinin et al., 1999). Therefore, we explored whether this thecovaryingRSAandRRIdeclineduringvagalwithdrawalhas RSAmeasure,whichcorrectsforchangesinmeanRRI,would always been examined within the context of stable levels of be less sensitive to beta-adrenergic effects than uncorrected cardiac sympathetic tone (either during or without beta- measures of RSA. blockade). These investigations have provided necessary but Wefoundonestudythatreportedbeta-blockadetohaveno insufficientevidenceforthegeneralutilityofRSAasacardiac effectuponthismeasure(Schachingeretal.,2001).Addition- vagalindex:theyshowedthatRSAwassensitivetovariationsin ally,wecalculatedthisnormalizedindexfrommeangroupdata cardiacvagaltonewhencardiacsympathetictonewasabsent,or inthreestudiesthathadreportedcleareffectsofbeta-blockade wasrelativelylowandstable.However,theyfailedtoconfirmthe upon RSA (Grossman and Kollai, 1993; Pitzalis et al., 1998; parasympathetic specificity of RSA, i.e. that no matter how Taylor et al., 2001b). Beta-blocker effects were almost cardiac sympathetic activity changes, RSA always specifically completely removed (all differences between beta-blockade reflectscardiacvagalcontrol.Beta-adrenergiceffectsuponRSA and no blockade <10%). This was also confirmed in data challengethevagalspecificityofRSA. recalculatedfromourownstudy(GrossmanandKollai,1993), There are severalpossibleinterpretations ofthesefindings: which found a 30% increase in peak-valley RSA with beta- (a) cardiac vagal tone is directly altered by varying levels of blockade before normalizing, and a 5% difference after sympathetic effects upon HR; (b) RSA, but not cardiac vagal normalizing for mean RRI. tone, is influenced by changes in cardiac sympathetic tone; or These findings suggest that RRI correction of RSA can (c) vagal-sympathetic interactions can occur that alter the reduce or eliminate the influence of basal levels of cardiac relationbetweenRSAandcardiacvagaltoneinpredictableor sympathetictone(restingHRwithversuswithoutthenormally unpredictableways. Whicheverin the end proves correct, any mild level of sympathetic activity). In the autonomic of these possibilities, at the very least, clearly indicates that stimulation study described above (Hedman et al., 1995b), concurrent levels of cardiac sympathetic activity can alter normalized RSA also substantially lowered the impact of respiratory modulation of HR (i.e. RSA). sympatheticstimulation:withaconstantlevelofvagalefferent Oneinvasivedogstudy(Hedmanetal.,1995b),indeed,may discharge, normalized RSAwas reduced 50% during sympa- confirmthatRSA,butnotmeanlevelofcardiacvagalefferent thetic stimulation, compared to no sympathetic stimulation; activity(vagaloutflowfromthebraintotheheart),isalteredby without correction, RSAwas reduced by a factor of 12. beta-adrenergicblockade:sympatheticandvagalnervestothe heartwereelectricallystimulatedaftertheirpathwaysfromthe 5.1. RSA and vagal–sympathetic interactions brain were severed. Vagal nerve impulses were rhythmically stimulated so as to simulate RSA patterns at a frequency of In light of preceding conclusions, it may be useful to 12cpm,andthispatterningofimpulseswaspresentedbothin considermorepreciselythemeaningofthetermcardiacvagal 272 P.Grossman,E.W.Taylor/BiologicalPsychology74(2007)263–285 tone.Manyscientistsassumethatcardiacvagaltonereflectsthe conduction,orcombinedmechanisms.Apronounceddecrease extent of central vagal discharge to the heart, but the term is in RSA magnitude may therefore signify (1) truereduction of actually operationalized as the mean level of cardiac vagal vagal outflow from brain to heart, (2) a primary increase in effectsuponHRoveradefinedintervaloftime.Thisdefinition sympathetictonethatleadstoaninteractionwithvagalactivity focusesuponthefinalvagaleffectsuponHR.Vagallymediated intheperiphery,or(3)both.Suchconsiderationsunderlinethe HRchangesdepend,inturn,uponanumberofpriorprocesses difficulties in inferring CNS mechanisms whenever there is a and events. reduction in RSA, even when respiratory parameters are Limiting discussion to the efferent side of vagal neural controlled and when RSA does reflect some aspect of transmission, the vagus nerve must first transmit efferent parasympathetic modulation. activity in the direction of the sinoatrial node, located in the These interactions, nevertheless, may not always be posteriorwalloftheheart’srightatrium.Inhealthyindividuals, apparent in pharmacological blockade studies (e.g. Berntson the sinoatrial node initiates each beat of the heart, and vagal et al., 1994; Cacioppo et al., 1994). However, autonomic effectsonHRarecontingentuponthereleaseofacetylcholine blockade studies, such as the latter, in which sympathetic and from the parasympathetic nerve endings at junctures to the vagalinfluencesareeliminatedoneatatimeorjointly,maynot sinoatrial node.Anyprocess thatinterferes withacetylcholine be informative about interactions between the two autonomic transmission can alter the relationship between central vagal brancheswhenbothareactivetovaryingdegrees.Interactions efferent traffic and its effect on HR. For example, as dosage also depend upon the extent of activation of both autonomic rises,atropineappearstoprogressivelyincreaseaveragecentral branches (Levy, 1984). For example, in the previously vagal efferent traffic to the heart, while, at the same time, it described canine study (Hedman et al., 1995b), substantial blocks the action of acetylcholine at the periphery, i.e. at the RSA attenuation was found at mild to moderate levels of sinoatrial node (Katona et al., 1977). The net result at higher cardiac sympathetic stimulation. On the other hand, under doses of atropine is completevagal blockade – elimination of conditions during which sympathetic stimulation is consis- cardiac vagal tone – despite elevated, mean levels of central tently very modest (e.g. estimated sympathetic effects upon vagal efferent activity. RRI(cid:3)30ms,inBerntsonetal.,1994),autonomicinteractions Findings from the previously described experimental study may play an insignificant role. (Hedman et al., 1995b) showed that mild-to-moderate Tofurthercomplicatethematter,therearenumerouswaysin stimulation of cardiac sympathetic activity greatly attenuated which autonomic blocking drugs may potentially influence beat-to-beat modulation of RRI (simulated RSA) in dogs, estimationsofcardiacautonomictone:drugslikeatropineand although average level of vagal efferent traffic to the heart differentbeta-blockersmaysometimeshavecentraleffects,as remained constant during both the absence and presence of well as induce indirect, secondary effects due to distressing sympathetic stimulation. Perhaps related to the effects of the symptoms.However,theuseofdoubleblockadestudieswould latter study, numerous investigations have demonstrated that seem to eliminate such sources of bias when only two neuropeptide Y, an important neurotransmitter, inhibits the influences can be responsible (e.g. vagal and sympathetic releaseofacetylcholineatparasympatheticeffectorjunctionsof effects upon HR). Moreover, sequential studies of dual vagal the heart, itself (including the sinoatrial node), and thereby and beta-sympathetic blockade do not indicate that central or reduceseffectivenessofvagalactionontheheart(e.g.Moriarty indirectconcomitantsofautonomicblockadesignificantlybias et al., 1993a,b; Serone and Angus, 1999; Smith-White et al., estimates of cardiac autonomic tone (e.g. Kollai et al., 1994). 1999, 2002; Warner and Levy, 1989). Nevertheless, further research may still be useful to examine In mammals, it has long been recognized that the cardiac such possible influences upon pharmacological determination response toneural activity inone autonomic division depends of cardiac parasympathetic and sympathetic tone. onlevelsofactivityintheotherdivision(Levy,1984).Complex Whatever the explanation for occasionally disparate find- peripheral interactions between sympathetic and parasympa- ings,therepeatedevidenceofbeta-sympatheticinfluenceupon thetic nerve supplies to the heart are of importance in RSAandperipheralsympathetic–parasympatheticinteractions modulating control of cardiac function. Many of the terminal should be of concern for both physiological and psychophy- fibersofthetwosubdivisionsoftheautonomicnervoussystem siologicalinvestigationsofRSAandcardiacvagalcontrol.This lie close to each other on the mammalian heart (Jacobowitz, doesnotmeanweshouldceaseemployingRSAasamarkerof 1967). Consequently, transmitters released from the nerve final vagal effects uponthe heart.However,it does implythat endings of one division can readily diffuse to the nerve variations in RSA magnitude currently provide an unreliable terminals of the other, as well as to the cells of the cardiac index of central vagal outflow or tone. The implications for ganglion and the myocardium (Revington and McCloskey, interpretation of past and present RSA research are far- 1990). reaching. These and many others studies illustrate that what we measure with any HR index of vagal tone are only the final 6. RSA and cardiac vagal tone can dissociate under functional vagal effects on cardiac activity. Attenuation of certain circumstances cardiac vagal tone may be caused by reduced central vagal efferent activity, blocking of preganglionic or postganglionic There is evidence that RSA magnitude can sometimes neuronal actions of acetylcholine, impaired vagus nerve dissociatefromcardiacvagaltone,evenunderconditionsofno

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Toward understanding respiratory sinus arrhythmia: Relations to cardiac Abstract. Respiratory sinus arrhythmia (RSA, or high-frequency heart-rate variability) is frequently employed as an index of cardiac vagal tone or even aviator performance and on respiratory-heart period interactions. Aviatio
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