RESEARCHARTICLE Effects of vasoactive drugs on crystalloid fluid kinetics in septic sheep YuhongLi1,2☯,ZhengXiaozhu3☯,RuGuomei2,DingQiannan2,RobertG.Hahn4* 1 DepartmentofAnesthesiology,ShaoxingPeople’sHospital,Shaoxing,ZhejiangProvince,PRofChina, 2 ResearchCenter,ShaoxingPeople’sHospital,Shaoxing,ZhejiangProvince,PRofChina,3 The DepartmentofAnesthesiology,ZhejiangHospital,Hangzhou,ZhejiangProvince,PRofChina,4 Research Unit,So¨derta¨ljeHospital,So¨derta¨lje,Sweden ☯Theseauthorscontributedequallytothiswork. *[email protected] a1111111111 a1111111111 a1111111111 Abstract a1111111111 Purpose a1111111111 Crystalloidfluidandvasoactivedrugsareusedintheearlytreatmentofsepsis.Thepurpose ofthepresentstudywastoexaminehowthesedrugsalterplasmavolumeexpansion, peripheraledema,andurinaryexcretion. OPENACCESS Methods Citation:LiY,XiaozhuZ,GuomeiR,QiannanD, HahnRG(2017)Effectsofvasoactivedrugson Twenty-fiveanesthetizedsheepweremadesepticbycecalpunctureandashortinfusionof crystalloidfluidkineticsinsepticsheep.PLoSONE lipopolysaccharide.After50min,aslowinfusionofisotonicsalinewasinitiated:thesaline 12(2):e0172361.doi:10.1371/journal. eithercontainednodrug,norepinephrine(1μg/kg/min),phenylephrine(3μg/kg/min),dopa- pone.0172361 mine(50μg/kg/min),oresmolol(50μg/kg/min).Tenminlater,20mL/kgRinger´slactate Editor:Zheng-LiangMa,NanjingUniversity solutionwasgivenover30min.Centralhemodynamics,acid-basebalance,andtheurinary MedicalSchoolAffiliatedNanjingDrumTower Hospital,CHINA excretionweremonitored.Frequentmeasurementsofthebloodhemoglobinconcentration wereusedasinputinakineticanalysis,usingamixedeffectsmodelingsoftware. Received:August30,2016 Accepted:February4,2017 Results Published:February23,2017 ThefluidkineticanalysisshowedslowdistributionandeliminationofRinger´slactate, Copyright:©2017Lietal.Thisisanopenaccess althoughphenylephrineanddopamineacceleratedthedistribution.Oncedistributed,the articledistributedunderthetermsoftheCreative fluidremainedintheperipheraltissuesanddidnotequilibrateadequatelywiththeplasma. CommonsAttributionLicense,whichpermits Overall,stimulationofadrenergicalpha -receptorsaccelerated,whilebeta -receptors unrestricteduse,distribution,andreproductionin 1 1 anymedium,providedtheoriginalauthorand retarded,thedistributionandeliminationoffluid.ApharmacodynamicE modelshowed max sourcearecredited. thatRinger´slactateincreasedstrokevolumeby13ml/beat.Alpha -receptors,butnot 1 DataAvailabilityStatement:Theoriginaldatais beta -receptors,furtherincreasedstrokevolume,whilebothraisedthemeanarterialpres- 1 providedintheSupportingInformationasS1 sure.Modulationofthebeta -receptorslimitedtheacidosis. 1 Dataset. Funding:TheprojectwassupportedbyMedical Conclusions HealthScienceandTechnologyProjectofZhejiang province(№2014KYB277)andZhejiangProvincial Stimulationofadrenergicalpha1-receptorswithvasoactivedrugsaccelerated,whilebeta1- ScienceFoundation(№LY15H030013). receptorsretarded,thedistributionandeliminationoffluid.Thetendencyforperipheral Competinginterests:Theauthorshavedeclared accumulationoffluidwaspronounced,inparticularwhenphenylephrinewasgiven. thatnocompetinginterestsexist. PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 1/13 Fluidkineticsinsepsis Introduction Crystalloidfluidloadingandtheadministrationofvasoactivedrugsareessentialstepsinthe earlytreatmentofsepticpatientswithsuspectedhypovolemiaandtissuehypoperfusion[1,2]. Thetreatmentforanadultconsistsofaninfusionofatleast30ml/kgofcrystalloidfluidsuch asRinger´slactate.Ifthehypovolemiaandhypotensionisnotresolvedbyvolumeloading,the treatmentshouldbeaugmentedbyadministrationofnorepinephrine,phenylephrine,ordopa- mine[3,4]. Inhealthysheep,vasoactivedrugsmarkedlychangethedistributionandeliminationof crystalloidfluid,therebyalteringtheplasmavolumeexpansion,urinaryexcretion,andtherisk ofperipheraledema[5].However,theinteractionsbetweenfluidandvasoactivedrugshave notbeenstudiedwithrespecttosepsis.Thistypeofstudyisofpotentialimportanceinthe searchforoptimalcombinationsofcrystalloidsandvasoactiveagents. Thepurposeofthepresentstudywastousevolumekineticstodescribethedistribution andeliminationofcrystalloidfluidinanexperimentalsepsismodel,basedonserialmeasure- mentsofthehemodilutionduringandafteraninfusion[6–8],andhowthisisinfluencedby variousvasoactivedrugs(norepinephrine,phenylephrine,dopamine,andesmolol).Volume kineticsispharmacokineticsforinfusionfluidsandhasbeenappliedinapproximately50stud- iesofvariousfluidtherapies[6].Notuntilrecentlyhasthepopulationkinetic(mixedmodels) approachbeendevelopedthatisnecessaryfortheanalysisoftherelationshipbetweenfluid distributionandadrenergicstimulation[8]. Materialsandmethods Animals Twenty-fivehealthymalesheepweighing14–26kg(mean,20kg)werestudied.Theprotocol andtheexperimentalprocedureswereapprovedbytheAnimalCareandUseCommitteeof theShaoxingPeople’sHospital(PRofChina,approvalnumberZJU20140252),andthestudy wasconductedinadherencewiththeGuideforCareandUseofLaboratoryAnimals. Anesthesiaandsurgicalpreparation Afteranovernightfast,anesthesiawasinducedwithpropofol(5mg/kg).Theanimalswere intubatedviatracheotomyandventilatedatatidalvolumeof10ml/kgandrespiratoryrateof 15breathsperminute.Theanesthesiawasmaintainedwith1.5–2.5%sevofluraneandinter- mittentdosesofsufentanil(0.6μg/kg)andcisatricurium(0.2mg/kg),asneeded. Inasterileoperatingenvironment,a3-lumenvascularcatheterwasplacedintheright internaljugularfordrugadministrationandfluidinfusion,aswellasforregistrationofthe centralvenouspressure(CVP).Onefemoralarterywascannulatedformeasurementofblood pressureandforsamplingofblood.Amiddlelaparotomywasperformedandacystostomy catheterwasplacedinthebladderforcollectionofurine. Sepsismodelandvasoactivedrugs Sepsiswascreatedbycecalligationandpuncture,combinedwitha10-minintravenous(i.v.) infusionof0.5mg/kgoflipopolysaccharide(LPS).FiftyminutesaftertheinfusionofLPS,a continuousinfusionwasinitiatedconsistingof10ml/kg0.9%sodiumchloridecontainingno vasoactivedrug(control),dopamine(50μg/kg/min),noradrenaline(1μg/kg/min),phenyleph- rine(3μg/kg/min),oresmolol(50μg/kg/min).Theratesofadministrationofphenylephrine anddopaminewerechosentoagreewithapreviousstudyoffluidkineticsinsheep[5].The doseofnorepinephrinecorrespondstothemeandoseusedinclinicaltrialsofsepticshock. PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 2/13 Fluidkineticsinsepsis Fig1.Schematicdrawingofthetime-lineinthestudy. doi:10.1371/journal.pone.0172361.g001 Esmololisabeta -receptorblockerandisnotusedtosupporthemodynamicsinseptic 1 patients.Thisdrugwasincludedtoincreasethewidthofourmanipulationofthebeta -recep- 1 torsandforitsabilitytoincreaseurinaryexcretion,andthedosecorrespondstotheoneused inastudyofvolumekineticsduringlaparoscopicsurgery[7]. Tenminutesafterinitiationoftheinfusionofavasoactivedrug,plasmavolumeexpansion wasinducedbyinfusing20ml/kgofRinger’slactate(Pharmacia-Baxter,Shanghai,China) overa30minperiod.Thevasoactivedrugsweremaintainedfor150min,andthentheexperi- mentwasendedandtheanimalsweresacrificed. ThephasesofthestudyprotocolareillustratedinFig1. Measurements ThearterialcannulawasconnectedtoaFloTracTMsensorandthesensordataweresenttoa Vigileomonitor(Softwareversion3.6;EdwardsLifesciences,Irvine,CA)formeasurementsof cardiacoutput(CO)andstrokevolume(SV).Thesedatawerecalibratedagainstthecardiac indexyieldedbythermodilutioninanesthetizedsheep[9]. Monitoringalsoincludedmeanarterialpressure(MAP),centralvenouspressure(CVP), electrocardiography,andheartrate.Allresultsweredisplayedonthemultifunctionmonitor (Datex-Ohmeda,Hoevelaken,TheNetherlands)andsaveddigitally.Arterialbloodsamples(2 mleach)werecollectedevery5minfor60minafterthestartingtheinfusionofLPSandagain duringthefirst60minafterinfusionofRinger’ssolution,andthenevery10minduringthe following90min. Thetotalbloodhemoglobin(Hb)concentrationwasmeasuredonaGEMPremier3000 instrument(InstrumentationLaboratory,Lexington,IL).Duplicatesamplescollectedatbase- lineensuredacoefficientof1.5%.Serumlactateandbaseexcess(BE)werealsomeasuredat thesametime.Urineoutputsweremeasured60minafterthececalpunctureandattheendof thestudy. Allanimalsweresacrificedbyaninjectionofpotassiumchlorideuponcompletionofthe experiment. Kineticanalysis Hemodilutionistheinverseofthebloodwaterconcentration[10]andwasusedastheinput functioninthekineticanalysisbecauseRinger´slactateis99%water.Theplasmadilutionwas thenfittedtotwo-volumekineticmodelwithmicro-constants,andtheinfluenceofcovariates (adrenergicreceptorstimulationorblockade)wastested[7]. FluidwasinfusedatrateR toexpandthevolumeofthecentralbodyfluidspace(i.e.the o plasmavolume)fromV tov .Therateofeliminationwasgivenastheproductofthevolume c c expansionofV andaneliminationrateconstant,k .Thedistributiontotheperipheralbody c 10 PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 3/13 Fluidkineticsinsepsis Fig2.Thefluidkineticmodelusedtoanalyzethedilutionofarterialplasma.Abbreviations:V and c V =centralandperipheralfluidspaceexpandedbyinfusedfluidtov andv.k andk =rateconstants t c t 12 21 governingthefluidtransferfromv andv andviceversa.k =eliminationrateconstant. c t 10 doi:10.1371/journal.pone.0172361.g002 fluidspaceV (i.e.theinterstitialfluidspace)wasgovernedbyarateconstantk anditsreturn t 12 fromv tov byanotherrateconstant,k (Fig2). t c 21 Thedifferentialequationsare: dv=dt ¼R (cid:0) k ðv (cid:0) VÞ(cid:0) k ðv (cid:0) VÞ(cid:0) k ðv (cid:0) VÞþk ðv (cid:0) VÞ c o 10 c c b c c 12 c c 21 t t dv=dt ¼k ðv (cid:0) VÞ(cid:0) k ðv (cid:0) VÞ t 12 c c 21 t t TheHb-derivedfractionalplasmadilutionwasusedtoindicatethevolumeexpansionofV c resultingfromtheinfusion.Thisprovidesalinearrelationshipbetweentheaddedfluidvolume andthechangeinHbinanexpandablefluidspace[6].Hence: ðv (cid:0) VÞ=V ¼ððHb=hbÞ(cid:0) 1Þ=ð1(cid:0) hematocritÞ c c c Thesymbolsincapitallettersdenotebaselinevalues.The"false"plasmadilutioncausedby thebloodsamplingwascorrectedbyamathematicalprocedureexplainedelsewhere[6].On assumingthatHbisevenlydistributedinthecirculation,theHb-derivedfractionalplasma dilutionalsoindicatestheexpansionoftheplasmavolume. Theprimaryparametersinthemodel(V ,k ,k ,andk )andtheircovariateswereesti- c 12 21 10 matedusingthePhoenixsoftwarefornonlinearmixedeffects(NLME),version1.3(Pharsight, St.Louis,MO). Theanalysiswasperformedinfourparts.First,thefourkineticparameterswereestimated separatelyforeachofthestudygroupsseparately.Thedistributionoftheinfusedfluidbetween bodycompartmentswasthensimulatedbasedonthebestestimatesoftheseparameters,using MatlabR2012b(MathWorksInc.,Natick,MA). Second,allexperimentswerepooled,andbasemodelwasdevelopedwhichincludedthe fourkineticparametersinthemodel. Third,covariatesintheformofvariousdegreesofreceptorstimulationwerethenaddedin sequencetothebasemodel,whicheventuallyformedthefinalmodel[8–11].Receptoreffects wereincludedthefinalmodeliftheywerestatisticallysignificant(95confidenceinterval,CI, didnotinclude1.0)andtheircoefficientofvariationwas<30%. Thedegreeofadrenergicreceptoreffectassumedtobeproducedbythevariousdrugsis showninTable1.Thestrengthofallstatisticallysignificantreceptoreffects(beingeither blockade-1,noeffect0,slightstimulation1,strongerstimulation2,orstrongeststimulation 3)wereappliedsimultaneouslyinthefinalanalysisofthefullmodel.Tostabilizethese PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 4/13 Fluidkineticsinsepsis Table1. Thelevelofstimulationofreceptorsusedinthevolumekineticanalysis. Zeromeansnoeffect,+3strongeffect,and-1meansinhibition. Drugtreatment Alpha -adrenergicreceptors Beta -adrenergicreceptors Dopaminergicreceptors 1 1 None(control) 0 0 0 Norepinephrine 3 2 0 Phenylephrine 3 0 0 Dopamine 1 1 1 Esmolol 0 –1 0 BasedonReference[15]. doi:10.1371/journal.pone.0172361.t001 calculations,themeasuredurinaryexcretionineachexperimentwassetequaltok (theelimi- 10 nation)inthatexperiment. Fourth,theeffectofplasmadilutiononkeyhemodynamicparameterswasfittedtoaphar- macodynamiclineareffectmodel(E model)havingthefollowingappearance: max E ððv-VÞ=VÞ E¼E þ max c c c o EC ððv-VÞ=VÞ 50 c c c whereEiseffect,E istheeffectatbaseline,E isthemaximumeffect,andEC isthefrac- o max 50 tionalplasmadilutionrequiredtocause50%ofthefulleffect. Statistics Demographicandhemodynamicdatawerereportedasthemean(standarddeviation,SD)and thekineticdataasthemean(95%confidenceinterval,CI).Changesinparameterswerecom- paredbythepairedttestortheWilcoxonmatched-pairtest.Theeffectofadrenergicreceptor stimulationonthehemodynamicswasevaluatedbyone-andtwo-wayANOVA.Correlations werestudiedbylinearregressionanalysis,wherer=correlationcoefficient.P<0.05wascon- sideredstatisticallysignificant. Results Ourevaluationdescribestheoveralleffectsofsepsisandfluidofthehemodynamics,analyses thefluidkineticsforeachofthefivesubgroupsseparatelyaswellasthefluidkineticsforall25 animalstogether,inwhichthelatterusedthelevelsofadrenergicstimulationascovariates. Finally,selectedanalysesoftheindependenteffectsoffluidtreatmentandadrenergicstimula- tiononhemodynamicsandacid-basebalanceweremade. Hemodynamics Duringthe50minofearlysepsisalone,MAPgraduallydecreasedfrom97(17)to64(20) mmHg,whileCOrosefrom4.0(1.8)to5.7(2.6)L/min(pairedttest,bothP<0.001).SV increasedonlyslightly.Theplasmawasconcentratedby9.5%(median;95%CI4.4–12.7) (Fig3). Comparedwithearlysepsisalone,earlysepsisplusadrenergicdrugandfluidtreatmentwas associatedwithahighermeanCO,SV,andserumlactate(P<0.001),whereastheMAP,CVP, andbaseexcessdecreased(P<0.001,Table2). Kineticsinthefivegroups Aseparatepopulationkineticanalysiswasfirstmadeseparatelyforthecontrolsandforeach ofthe4groupsof5sheepthatreceivedaspecificvasoactivedrug.Thedistributionrate PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 5/13 Fluidkineticsinsepsis Fig3.Hemodynamics.Earlysepsis(-60to-10min)comparedwithtreatmentusingvasoactivedrugsand fluid(0to150min).Dataaremean(SD)basedonpatientmeanvaluesduringtheindicatedperiodoftime. Duetothesmallnumberineachgroup(n=5),statisticalcomparionsweremadebyusingtheWilcoxon matched-pairtest.*indicatesstatisticalsignificance.Abbreviations:CO=cardiacoutput,SV=stroke volume,MAP=meanarterialpressure;CVP=centralvenouspressure,BE=baseexcess; Nor=norepinephrine,Phe=phenylephrine,Dop=dopamine,Esm=esmolol. doi:10.1371/journal.pone.0172361.g003 constant(k )washighforinthephenylephrineanddopamine,butlowintheothergroups. 12 Thekineticconstantgoverningtherateofforre-distribution(k )wasnegativeinmostgroups 21 (Table3).whichresultedinmarkedperipheralaccumulationofinfusedfluid(Fig4). Covariateanalysis Apopulationkineticanalysiswasthenperformedbasedonallinfusionexperiments.The covarianceanalysiswasmostsuccessfulwithalinearmodel,wherethestrengthofeach Table2. Hemodynamicsandbiochemicalevidenceofacidosis. Earlysepsis(-60to-10min)iscomparedtothetimeperiodwhenfluidandvasoactive drugweregiven(0to150min).ThesedataareplottedinFig3.Eachgroupcontained5animals. Control Nor Phe Dop Esm CO(L/min) Earlysepsis 5.2(2.4) 4.61.1) 5.0(1.7) 4.8(0.9) 5.9(1.5) Drug+fluid 6.3(1.5) 6.9(1.0) 6.6(1.2) 7.0(2.6) 5.0(1.2) SV(mL/beat) Earlysepsis 58(16) 46(6) 44(15) 31(13) 55(12 Drug+fluid 66(17) 68(12) 74(22) 77(18) 60(11) Serumlactate(mmol/L) Earlysepsis 1.7(0.7 1.6(0.6) 1.0(0.3) 1.2(0.3) 1.5(0.6 Drug+fluid 3.1(1.1) 2.8(0.4) 2.0(0.8) 2.9(1.7) 2.9(1.6) MAP(mmHg) ) Earlysepsis 100(10) 87(6) 92(6) 96(6) 78(4) Drug+fluid 72(16) 75(12 78(12) 77(11) 49(7) CVP(mmHg) Earlysepsis 5.8(3.7) 3.9(1.4) 5.6(4.4) 3.6(3.2) 5.8(3.8) Drug+fluid 2.5(1.6) 3.1(0.6) 4.1(1.0) 5.8(3.8) 3.2(1.2) BE(mmol/L) Earlysepsis 0.5(2.9) 0.8(3.4) 1.8(0.8) 2.1(2.2) 1.8(1.7) Drug+fluid –3.3(3.1) –0.6(3.1) –2.8(0.5) –1.7(3.3) –0.7(1.6) Abbreviations:CO=cardiacoutput,SV=strokevolume,MAP=meanarterialpressure;CVP=centralvenouspressure,BE=baseexcess; Nor=norepinephrine,Phe=phenylephrine,Dop=dopamine,Esm=esmolol. doi:10.1371/journal.pone.0172361.t002 PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 6/13 Fluidkineticsinsepsis Table3. Thepatternsofreceptorstimulationusedinthevolumekineticanalysis. Control Norepinephrine Phenylephrine Dopamine Esmolol V (L) 1.32(0.97–1.68) 2.65(1.96–3.35) 1.34(1.25–1.44) 1.60(1.18–2.03) 1.80(1.36–2.24) c k (10−3min-1) 5.2(0.3–10.0) 7.2(3.3–11.1) 22.3(17.0–27.7) 28.5(22.3–34.6) 6.3(2.4–10.1) 12 k (10−3min-1) -3.9(-9.5to1.8) -1.2(-1.9to-0.6) -4.1(-5.0to-3.1) 3.0(1.9–4.1) -6.8(-11.7to-2.0) 21 k (10−3min-1) 2.0(0.5–3.5) <0.01 <0.01 <0.01 1.4(0.5–2.4) 10 Thebestestimateofeachparameterisshowntogetherwithits95%confidenceinterval.Theadditivewithin-subjectresidualerrorstructureandthe extendedleastsquares(ELS)analysismodelwithoutconsiderationofthemeasuredurinaryexcretionyieldedthemostpreciseestimatesofthefour parameters. doi:10.1371/journal.pone.0172361.t003 receptoreffect,accordingtoTable1,wasappliedasacontinuousvariable.Therewerefive covariateeffects:k andk wereincreasedbystimulationofthealpha -receptorsbut 12 10 1 decreasedbythebeta -receptors.Inaddition,thebeta -receptorsincreasedV .Nosignificant 1 1 c covariateeffectwasfoundforthedopaminereceptors. ThecompletesetofparameterestimatesaregiveninTable4.Thebestestimatesinthe modelwerethenmodifiedwithregardtoV ,k ,andk ,asfollows: c 12 10 V ¼1:70ð1þ0:12beta Þ c 1 k ¼6:4x10(cid:0) 3ð1þ1:45alpha Þð1(cid:0) 0:33beta Þ 12 1 1 k ¼0:5x10(cid:0) 3ð1þ1:93alpha Þð1(cid:0) 0:32beta Þ 10 1 1 wherethedigitsappliedforassumedstrength,accordingtoTable1,areusedtoreplacealpha 1 andbeta intheequations. 1 ThemeasuredplasmadilutionwhenalldatawerepooledisshowninFig5A.Theagree- mentbetweenthemeasuredandpredictedplasmadilutionaccordingtothebasemodelis giveninFig5Bandthesamecomparison,butwithconsiderationtakenofthecovariates,is madeinFig5C. Fig6illustrateshowchangesinthedegreeofadrenergicstimulationwouldalterthedistri- butionofcrystalloidfluidaccordingtotheanalysismade.V wouldbecomelessexpanded, c whileV wouldbemoreexpanded,thestrongerthestimulationofthealpha -adrenergicrecep- t 1 tors(Fig6A).Theeffectwouldbetheoppositeforstimulationofthebeta -adrenergicrecep- 1 tors(Fig6B). Fig4.Fluiddistribution.Volumeexpansionofthecentralfluidspace(V,theplasma),theperipheralfluidspace(V) c t andtheexcretedurine(theelimination)duringinfusionexperimentswith20mL/kgofRinger´slactateover30minin septicsheepwhowerealsogivenavasoactivesubstance.Computersimulationusingtheparameterestimatesshown inTable3. doi:10.1371/journal.pone.0172361.g004 PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 7/13 Fluidkineticsinsepsis Table4. Pharmacokineticandpharmacodynamicparametersinthefinalmodel. Covariate Bestestimate(95%CI) Kineticparameter tvV (L) 1.70(1.47–1.93) c tvk (10−3min-1) 6.4(3.8–9.0) 12 tvk (10−3min-1) -4.1(-6.0to-2.1) 21 tvk (10−3min-1) 0.50(0.24–0.76) 10 Covariateeffect tvk Alpha stimulation 0.45(0.24–0.65) 12 1 tvk Alpha stimulation 1.93(1.07–2.80) 10 1 tvV Beta stimulation 0.12(0.05–0.19) c 1 tvk Beta stimulation -0.32(-0.49to–0.14) 12 1 tvk Beta stimulation -0.33(-0.51to–0.14) 10 1 E ,ΔSV max tvE 13(6–20) 0 tvE 9(4–14) 50 tvE 49(-6to106) max tv=typicalvalue,CI=confidenceinterval, ΔSV=thechangeinstrokevolumesincetheonsetoffluidinfusion. doi:10.1371/journal.pone.0172361.t004 Urinaryexcretion Theurinaryexcretion(theelimination)wassmallinallgroups(Figs4and6).Duringearly sepsisalone,themedianurineflowwas0.20ml/min(95%CI,0.16–0.40).Duringthetreat- mentswithavasoactivedrugandfluid,thevalueswerequitesimilar,at0.16ml/min(0.13– 0.31). Measuresofeffect TheE modelanalysisshowedthatthefluidtreatmentassuchraisedSVby13ml/beat,but max furtherincreasesinresponsetoincreasingplasmadilutionwereslight(Table3,bottom).Simi- larfindingswereobservedforMAP(datanotshown). Fig5.Thecurve-fittingprocedure.A:Themeasuredplasmadilutionovertimeinallsheep,regardlessofvasoactivedrug.B:The plasmadilutionpredictedfromthebasemodel(fourparametersonly)withoutconsiderationofcovariates(drugeffects),andC:The plasmadilutionpredictedfromthefinalmodelwithcovariateeffects. doi:10.1371/journal.pone.0172361.g005 PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 8/13 Fluidkineticsinsepsis Fig6.Simulationofadrenergiceffectsonfluiddistribution.Distributionof20ml/kgRinger´slactate infusedover30mininsheepweighing20kg,dependingonthedegreeofalpha -adrenergic(A)andbeta - 1 1 adrenergic(B)stimulation,gradedbetween0and+3,accordingtoTable1.Thekineticparametersshownin Table3wereusedforthesimulation. doi:10.1371/journal.pone.0172361.g006 Two-wayANOVAwasusedtoexaminewhethertheadrenergicstimulationaffectedthe hemodynamicparametersinadditiontofluidalone.Alpha -receptorsraisedSVby(cid:25)15ml/ 1 beat(P<0.001)whereasthebeta -receptorsdidnotsignificantlyaffectSV.Stimulationof 1 thesereceptorsraisedMAPby(cid:25)15mmHg(P<0.0001andP<0.02,respectively)withoutan additiveeffect;thiswas2–3morethanwithfluidalone.Agreaterhemodynamiceffectfor strongerreceptorstimulationpotency,asgradedaccordingtoTable1,couldnotbediscerned. Modulationofthebeta -receptors,butnotofthealpha -adrenergic,preventedareduction 1 1 ofBE[–0.7(2.7)mmol/Lversus–2.9(2.4)fortheothers,P<0.0001]andofpH[7.38(0.08) versus7.33(0.08);P<0.001)].Incontrast,dopaminereceptorsofferedmarginalprevention [–1.2(3.0)versus–1.7(2.8)mmol/L,P=0.08). PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 9/13 Fluidkineticsinsepsis Discussion Theanimalmodelusedherecreatedamoderatelyseveresepsiswithhyperkineticcirculation andwasusedtoinvestigatetheeffectofvasoactivedrugsonthekineticsofRinger´slactate. Theinfusedfluidexpandedacentralfluidspace(theplasma)ofbetween1.3and2.7L,which islargewhenconsideringthesmallsizeoftheseanimals(20kg).Thedistributionoffluidfrom thecentraltotheperipheralfluidspaceinsepticsheepwithoutvasoactivedrugwasquiteslow, whencomparedtopreviousworkinconscioushealthysheep[9].Amorenormalrateofdistri- bution(k 30–5010−3min-1)wasachievedwithphenylephrineanddopamine. 12 Aslowdistributioncouldberegardedasabenefit,asitincreasestheplasmavolumeexpan- sionresultingfromtheinfusion.Cardiacpreloadisthenbettermaintainedduetothelarger fractionoftheinfusedfluidthatremainsinthecirculatingblood.Moreover,oxygenationof peripheraltissueswillbebetterpreservedbecausethediffusiondistancebecomessmaller whentheedemainperipheraltissues(V)islesspronounced[12].However,theoverallimpact t ofthefluidinfusionsonedemamustbeinterpretedwithaknowledgeofbothk andk , 12 21 wherenormalfluidexchangeimpliesthattheformerrateconstantshouldbeabouttwiceas highasthelatter[7,8].However,inthisstudythefluidexchangebetweenV andV was c t clearlynotnormal.Therateconstantk evenattainednegativevalues,whichhaspreviously 21 onlybeendescribedforthe"transurethralresectionsyndrome"[13]. Thenegativevaluedenotesthatfluidaccumulatedinperipheraltissueswithoutequilibrat- ingadequatelywiththeplasma,indicativeofashock-likesituation.Thecombinationofanor- malk ,negativek ,andlowk stronglypromotesthedevelopmentofperipheraledemaand, 12 12 10 inoursimulations,evenlatehypovolemia(Fig4).Edemawasaproblemencounteredwithall thevasoactivedrugs,butparticularlywithphenylephrine.However,mostoftheslowelimina- tion(lowk )canbeunderstoodonthebasisoftheuseofgeneralanesthesia[14],andthe 10 hypovolemiacausedbycapillaryleakageduringtheearlyphaseofthesepsis,whichamounted to10%oftheplasmavolume. Betterinsightintothefluidkineticswassoughtbyperformingthefullpopulationkinetic analysiswheretherelativeeffectsofthedrugsonadrenergicreceptorswereusedascovariates (Table1).Populationkineticanalysishasgraduallybecomeascientificandindustrialstandard procedureindrugdevelopment[11],anditcanbeappliedtofluidvolumekineticsaswell[8]. Usingthisapproach,thedistributionandeliminationofRinger´slactateinallexperiments couldbeanalyzedwithhigherprecisionthanwaspossiblewithaseparateanalysisforeach drug,andeveninasinglerun.Ananalysisoftheindividualcontributionofdifferentadrener- gicreceptorsonfluidkineticscouldalsobemade. Theresultsshowthatalpha -adrenergicreceptorsaccelerated,whilebeta -adrenergic 1 1 receptorstimulationretarded,thedistributionofcrystalloidfluid.Themagnitudeofthese influencescouldbequantified(Table3)andillustratedgraphically(Fig6).Thepronounced edemafoundwithphenylephrinecanthenbeunderstoodfromthestrongalpha -receptor 1 effect,butlackofbeta -stimulation,associatedwiththeuseofthisdrug.Moreover,theacidosis 1 waslesspronouncedwhenthebeta -receptorswerestimulated,whichconfirmsthatmaintain- 1 ingplasmavolumeexpansion(V)attheexpenseofextravascularfluidaccumulation(V)is c t beneficialtooxygenationofthetissues[12]. Thepresentfindingsalsoindicatethatalpha -receptorstimulationincreasedwhilebeta - 1 1 adrenergicreceptorstimulationdecreasedtheurinaryexcretion.Hence,theseeffectswere oppositetothoseexertedbytheadrenergicreceptorsontherateoffluiddistribution.Theyare supportedbyapreviousstudyinconscioussheep[5],andalsobyastudyinanesthetized womenundergoinglaparoscopicgynecologicalsurgery[7].Inthepresentstudytheincrease inurinaryexcretioncausedbymodulationoftheadrenergicreceptors,wasstatistically PLOSONE|DOI:10.1371/journal.pone.0172361 February23,2017 10/13