RESEARCHARTICLE Linear Quantitative Profiling Method Fast Monitors Alkaloids of Sophora Flavescens That Was Verified by Tri-Marker Analyses ZhifeiHou1,2,GuoxiangSun1*,YongGuo3 1 SchoolofPharmacy,ShenyangPharmaceuticalUniversity,Shenyang,China,2 Departmentof PharmaceuticalEngineering,HebeiChemicalandPharmaceuticalCollege,Shijiazhuang,China,3 Schoolof Pharmacy,FairleighDickinsonUniversity,FlorhamPark,NewJersey,UnitedStatesofAmerica *[email protected] Abstract ThepresentstudydemonstratedtheuseoftheLinearQuantitativeProfilingMethod a11111 (LQPM)toevaluatethequalityofAlkaloidsofSophoraflavescens(ASF)basedonchro- matographicfingerprintsinanaccurate,economicalandfastway.Bothlinearqualitative andquantitativesimilaritieswerecalculatedinordertomonitortheconsistencyofthesam- ples.Theresultsindicatethatthelinearqualitativesimilarity(LQLS)isnotsufficientlydis- criminatingduetothepredominantpresenceofthreealkaloidcompounds(matrine, sophoridineandoxymatrine)inthetestsamples;however,thelinearquantitativesimilarity OPENACCESS (LQTS)wasshowntobeabletoobviouslyidentifythesamplesbasedonthedifferencein thequantitativecontentofallthechemicalcomponents.Inaddition,thefingerprintanalysis Citation:HouZ,SunG,GuoY(2016)Linear wasalsosupportedbythequantitativeanalysisofthreemarkercompounds.TheLQTS QuantitativeProfilingMethodFastMonitorsAlkaloids ofSophoraFlavescensThatWasVerifiedbyTri- wasfoundtobehighlycorrelatedtothecontentsofthemarkercompounds,indicatingthat MarkerAnalyses.PLoSONE11(8):e0161146. quantitativeanalysisofthemarkercompoundsmaybesubstitutedwiththeLQPMbasedon doi:10.1371/journal.pone.0161146 thechromatographicfingerprintsforthepurposeofquantifyingallchemicalsofacomplex Editor:EtsuroIto,WasedaUniversity,JAPAN samplesystem.Furthermore,oncereferencefingerprint(RFP)developedfromastandard Received:March28,2016 preparationinanimmediatedetectionwayandthecompositionsimilaritiescalculatedout, LQPMcouldemploytheclassicalmathematicalmodeltoeffectivelyquantifythemultiple Accepted:August1,2016 componentsofASFsampleswithoutanychemicalstandard. Published:August16,2016 Copyright:©2016Houetal.Thisisanopenaccess articledistributedunderthetermsoftheCreative CommonsAttributionLicense,whichpermits unrestricteduse,distribution,andreproductioninany Introduction medium,providedtheoriginalauthorandsourceare credited. ThedriedrootofSophoraflavescensAit.,knownasKuShen(SophoraeFlavescentisRadix)in DataAvailabilityStatement:Allrelevantdataare China,iswidelyusedinTraditionalChineseMedicine(TCM)foritseffectofclearingheatand withinthepaperanditsSupportingInformationfiles. dampness,killingparasites,andinducingdiuresis[1].Modernresearchhasalsoshownvarious Funding:Theauthorshavenosupportorfundingto pharmacologicaleffectsofAlkaloidsofSophoraflavescens(ASF),suchasantimicrobial,anti- report. inflammatory,anti-allergic,anti-tumor,anti-arrhythmia,anti-hepatitis,andregulationofthe immunesystem[2–17].AmongmanychemicalcomponentsfromtheASF,quinolizidinealka- CompetingInterests:Theauthorshavedeclared thatnocompetinginterestsexist. loidssuchasmatrine(MT),sophoridine(SPR)andoxymatrine(OMT)havebeen PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 1/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens demonstratedtobeimportantactivecompounds[18–29].ThequalityofASFasherbalmedi- cineistypicallyevaluatedandcontrolledbythetotalalkaloidcontent.Infact,theNational DrugStandardforASFinChinaisbasedondeterminingthetotalalkaloidcontentusinga titrationmethod[30].Inpractice,thequalityofASFistypicallyevaluatedbasedonthequanti- tativecontentofthemarkercompounds(e.g.,MT,OMTandSPR)determinedbyhigh-perfor- manceliquidchromatography(HPLC)orcapillaryelectrophoresis(CE)method[31,32].But quantitativedeterminationofmultiplemarkercompoundsrequiressignificantamountof effortsandresources.Inadditiontoquantitativeanalysisofthemarkercompounds,chro- matographicfingerprinthasbeenwidelyadoptedforqualityassessmentofherbalmedicinesby regulatoryagencies,suchasUSFoodandDrugAdministration(FDA),EuropeanMedicines Agency(EMA),andChinaFoodandDrugAdministration(CFDA)[33].However,thechro- matographicfingerprintsarecommonlyanalyzedforqualitativesimilarityamongthetestsam- ples.Thequantitativecontentsofthechemicalcomponentsinherbalmedicinesarenot analyzedtocomparethesimilarityofthesamples.Forexample,Zhangetalusedaqualitative hierarchicalclusteringmethodtoanalyzethechromatographicfingerprintsofthealkaloids fromcommercialSophoraeFlavescentisRadix,andalsodeterminedthecontentofmultiple markercompoundsforthepurposeofqualityassessment[34].Theyconfirmedtheusefulness ofchromatographicfingerprintinginqualityevaluationofherbalmedicines,butalsoacknowl- edgedthatdirectquantitationofmultiplemarkercompoundswasnotalwaysfeasibledueto theavailabilityofthestandardsforthemarkercompounds. Thechromatographicfingerprintsoftheherbalmedicinesamplesaretypicallyusediniden- tificationandauthenticity[35–36],whichonlyindicatesthequalitativesimilarityinthepres- enceanddistributionofthechemicalcomponents.Thedifferenceinthequantityofthe chemicalcomponentsisnotaddressedbyqualitativesimilarityanalysis.Butthisisnotthecase currently.Quantitativesimilarityanalysishasbeendevelopedasameasuretodetectthediffer- enceinthequantitativecontentsoftheherbalsamplesandhasbeensuccessfullyappliedto qualityevaluationofsometraditionalChinesemedicines[37–39].Inthisstudy,theLinear QuantitativeProfilingMethod(LQPM)wasfirstusedtoevaluatebothlinearqualitativeand quantitativesimilaritiesofthechromatographicfingerprintsoftheASFsamples.Threealka- loidmarkercompounds(MT,SPRandOMT)werealsoquantitatedusingavalidatedHPLC method,andtherelationshipbetweenthelinearquantitativesimilarity(LQTS)andthecontent ofthemarkercompoundswasalsoinvestigated.LQPMisalowconsumedandhighlyeffective waycomparedwithanymulti-markerquantitativelydeterminationmethod.Asacomplex multiplecomponentsystem,ASFsamplescanbefirstlyidentifiedandsecondlyquantifiedby LQPMfromanoverallmode.QualityconsistencyofASFsampleshasbeensuccessfullymoni- toredandeffectivelyprovedbyourresearchresults. TheLinearQuantitativeProfilingMethod X~¼ðx1;x2;(cid:2)(cid:2)(cid:2);xnÞandY~¼ðy1;y2;(cid:2)(cid:2)(cid:2);ynÞserveasthesampleandreferencevectorwherexi andyiaretheithpeakareainthesamplefingerprint(SFP)andreferencefingerprint(RFP), respectively.ThecorrelationcoefficientrforlinearequationX~¼aþbY~canbecalculated accordingtoEq1andrepresentsalinearqualitativesimilarity(LQLS),whichdescribesthedis- tributioncharacteristicsofallchemicalfingerprintsintheherbalmedicines.Theslopeb,calcu- latedaccordingtoEq2,canbeusedtoquantitativelycompareX~andY~aftercorrectionofthe apparentweightofSFP(mj)andRFP(mR).Theparametermjistheweightofthejthsample andtheparametermRistheaverageweightof27batchesofsamples.Therefore,theslopebis calledaslinearquantitativesimilarity(LQTS)andcanbeusedtomeasurequantitativesimilar- ityinthetotalcontentofallfingerprintcomponentsbetweenSFPandRFP.Infact,bisvery PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 2/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens Table1. ThequalitygradeassignedbyLQPMandtheacceptancecriteria. Qualitygrade 1 2 3 4 5 6 7 8 best better good fine moderate common inferiors defective r(cid:6) 0.95 0.90 0.85 0.80 0.70 0.60 0.50 <0.50 b2 95*105 90*110 85*115 80*120 70*130 60*140 50*150 0*1 α(cid:7) 0.05 0.10 0.15 0.20 0.30 0.40 0.50 >0.50 doi:10.1371/journal.pone.0161146.t001 closetotheapparentcontentsimilarityR%(seeninEq3),andtheerrore(beequalto ¼R(cid:3)b¼að(cid:2)yÞ(cid:3)1(cid:4)100%)isaboutlessthan3%.Thetermαisastatisticalerrorcalculated accordingtoEq4andreflectstheaccuracyofthelinearmodel.Thelinearqualitativesimilarity (r),linearquantitativesimilarity(b)anderrorterm(α)arecombinedintheLinearQuantita- tiveProfilingMethod(LQPM)toevaluatethequalityoftheherbalmedicines(8gradeslisted inTable1). Infact,risalwayslessthanunity,howeverbcanbeinrangeof0—1,thusthereisnearly anorthogonalitycorrelationbetweenrandb,whichindicatesthattheLQTSassessismore importantthanLQLS.Inaddition,asresponsesofdifferentdetectorsaredissimilartovarious fingerprintcomponents,weightcorrectionfactorshouldbetakenintoconsideration.However, theweightcorrectionfactorcanbeignoredforthehomologuefingerprintslyinginprofiles. ThecompositionsimilaritiesofLQLSandLQTScanbeusedtoanalysethecontributionof somefingerprintpeaks.Theycanbecalculatedoutatoncewhenonefingerprintpeakareawas inputintothenumeratorinEqs1and2,respectively,whilethedenominatorwereunchanged. ThereforebothLQLSandLQTSrobustlyconstructthetwodimentionalorthogonalsimilarities forreasonablyevaluatingfingerpringprofilingofTCMandherbalmedicines. P n ðx (cid:3)~xÞðy (cid:3)~yÞ r ¼qffiPffiffiffiffiffiffiffiffiffiffiffiffiiffi¼ffiffi1ffiffiffiffiffiffiiffiffiffiffiffiffiffiqi ffiPffiffiffiffiiffiffiffiffiffiffiffiffiffiiffiffiffiffiffiffiffiffiffiffiffiffiffiffiffi ð1Þ n ðx (cid:3)~xÞ2 n ðy (cid:3)~yÞ2 i¼1 i i i¼1 i i P P P n n xy (cid:3) n x n y m x(cid:2) m m b¼ i¼P1 i i iP¼1 i i¼1 i(cid:4) R(cid:4)100%(cid:5) (cid:4) R(cid:4)100%¼R(cid:4) R(cid:4)100% ð2Þ n n y2(cid:3) n y2 m (cid:2)y m m i¼1 i i¼1 i j j j P n x m R%¼Pi¼1 i(cid:4) R(cid:4)100% ð3Þ n y m i¼1 i j (cid:3) (cid:3) (cid:3) (cid:3) (cid:3) (cid:3) α ¼(cid:3)(cid:3)(cid:3)a(cid:3)(cid:3)(cid:3)¼(cid:3)(cid:3)(cid:3)R(cid:3)1(cid:3)(cid:3)(cid:3)¼(cid:3)(cid:3)e(cid:3)(cid:3) ð4Þ by(cid:2) b b MaterialsandMethods Reagentsandchemicals Acetonitrile(HPLCgrade)waspurchasedfromYuwangIndustryCo.,Ltd(Shandong,China). Phosphoricacid(HPLCgrade)wasobtainedfromKermelChemistryReagentCo.,Ltd(Tian- jin,China)andanhydrousethanol(HPLCgrade)fromFuyuFineChemicalCo.,Ltd(Tianjin, China).De-ionizedwaterandotherreagentswereofanalyticalgrade.Atotalof27batchesof ASFsamples(S1-S27)wereselfextractedinlaboratory.Thereferencesample(RS)ofASF (BatchNo.20151101)wasprovidedbyGuangxiHuaHongPharmaceuticalCo.Ltd.Matrine (MT,BatchNo.MUST-13021904,purity>99.2%)andOxymatrine(OMT,BatchNo.MUST- PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 3/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens Fig1.Thestructuresofthemarkercompounds. doi:10.1371/journal.pone.0161146.g001 13021902,purity>99.5%)wereprovidedbyChengduManSiteBiologicalTechnologyCo.Ltd. (ChengduInstituteofbiological,ChineseAcademyofSciences).Sophoridine(SPR,batch No.141029,purity>98%)waspurchasedfromShanghaiWinherbScienceandTechnologyInc. (Shanghai,China).ThestructuresofthethreemarkercompoundsareshowninFig1. ExtractionprocedureforAlkaloidsofSophoraflavescenssamples ThedriedrootofSophoraflavescensAit.waspulverizedintopowder,andthenacidicwater waspercolatedintoeachpowdersample.ThepercolatingliquidwasconcentratedandthepH wasadjustedtobetween10and11withabase;then,theliquidwasextractedusingdichloro- methane.Theextractedliquidwasconcentratedbyrecoveringthedichloromethane,andthe residuewasdissolvedinethanol.ASFsampleswereobtainedafterevaporationoftheethanol. Instrumentsandchromatographicconditions ChromatographicanalysiswasperformedonanAgilent1100HPLCseries(AgilentTechnol- ogy,USA),equippedwithadiodearraydetector,alowpressuremixquaternarypump,an onlinedegasserandanautosampler.DataacquisitionwascontrolledbytheChemStation workstation(AgilentTechnology).ThechromatographicseparationwascarriedoutonanAgi- lentZOBAXNH column(250×4.6mm,5.0μm)thermostatedat35°C.Themobilephase 2 wascomposedofacetonitrile,anhydrousethanolandwater(82:10:8,v/v/v,containing0.24% phosphoricacid).Isocraticelutionwasemployedattheflowrateof1.0mL/min.Theinjection volumewassetat20μL.Thedetectionwavelengthwassetat210nm. Chromatographicfingerprintswereprocessedbyanin-housedevelopedsoftware,Digitized EvaluationSystemforSuper-InformationCharacteristicsofTCMChromatographicFinger- prints4.0(SoftwarecertificatedNO.0407573,China).SPSS16.0andSIMCA13.0werealso usedfordataanalysis. Sampleandstandardsolutionpreparation Stockstandardsolutionswerepreparedbyaccuratelyweighing9.0mg,8.0mgand8.0mgof MT,OMTandSPRstandardsintoseparatevolumetricflasksof50ml,50ml,25mlrespec- tively.Thereferencestandardwasdissolvedinadequateethanolandthendilutedtovolume withethanolandstoredat4°Cforsubsequentuse.Themixedstandardsolutionwasprepared bypipetting1.0ml,0.5mland1.0mLoftheMT,OMTandSPRstockstandardintoa50ml volumetricflaskandthendilutingtovolumewithethanol. Approximately0.10goftheASFsamplewasweighedintoaconicalflask,and25.0mLof ethanolwasaddedtotheflask.Aftertheconicalflaskwascapped,thewholeflaskwiththecon- tentwasaccuratelyweighed.Thentheflaskwassonicatedfor15minutes(power320w,fre- quency40KHZ).Aftercooling,theflaskwasweighedagainandanylostethanolwas replenished.Afterfiltration,1.0mLofthefiltratewaspipettedintoa50mLvolumetricflask PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 4/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens Fig2.RepresentativechromatogramsofanASFsample(A),themixedstandards(B)andthe3Dspectrum(C).Theon-lineUVspectraofMT,SPR andOMT(a,b,cforstandardanda1,b1,c1forsample)areshownnexttothechromatographicpeaks. doi:10.1371/journal.pone.0161146.g002 anddilutedtovolumewiththemobilephase.Thesamplesolutionwasfilteredthrough 0.45μmMilliporefilterspriortoHPLCanalysis. ResultsandDiscussion Quantitationofthethreemarkercompounds Methodvalidationofquantitativeanalysis. Reversed-phaseliquidchromatography (RPLC)istypicallyusedfortheanalysisofASF.However,quinolizidinealkaloids(e.g.,MT, SPRandOMT)areverypolarespeciallywhentheyareprotonated.Thisleadstoinsufficient retentionandpeaktailingontheRPLCcolumns.Thepresentstudyemployedanaminocol- umntoseparatethechemicalcomponentsinASFinthehydrophilicinteractionchromatogra- phy(HILIC)mode.AsshowninFig2,thethreemarkercompoundswerewellretainedand separatedwithverygoodshape.Inaddition,otherminorcomponentswerealsoelutedmostly earlyinthechromatogram.TheassignmentofMT,SPRandOMTwascarriedoutbycompar- ingtheretentiontimesandon-lineUVspectrawiththoseofstandards. TheHPLCmethodwasvalidatedforlinearity,systemrepeatability,accuracy,limitofdetec- tion(LOD)andlimitofquantitation(LOQ)insupportofitsapplicationtoquantitativeanaly- sisofthethreemarkercompounds.ThelinearityoftheHPLCmethodwasassessedatsix concentrationlevelsofthethreemarkercompoundsasdescribedinTable2.Thecalibration Table2. Correlationcoefficient(r),linearrange,LODandLOQforthetri-markercompounds. Compound Regressioneqution r LODb/ng LOQc/ng Linearrange/μg MT y=1256.8x-12.181a 0.999998 2.1 6.3 0.225~1.800 SPR y=1240.0x-17.252 0.999993 3.3 10.0 0.200~1.600 OMT y=1124.5x-3.042 0.999991 0.83 2.5 0.090~0.720 ayandxwere,respectively,thepeakareasandmasses(μg)oftheanalytes. bLOD:limitofdetection(S/N=3) cLOQ:limitofquantitation(S/N=10) doi:10.1371/journal.pone.0161146.t002 PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 5/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens Table3. Theresultsofthequantitativeanalysisforthetri-markercompoundsandthefingerprintanalysisassessedbyLQPM. No. Content(mg(cid:2)g-1) P % R% ΔE r b ΔE ΔE α Grade Quality 3C 1 2 3 MT SPR OMT SUM S1 217.57 231.16 88.55 537.28 96.7 95.5 -1.2 0.997 94.9 -1.9 -0.7 0.007 2 better S2 195.11 201.96 75.97 473.04 84.7 86.6 1.9 1.000 86.1 1.4 -0.5 0.006 3 good S3 235.51 248.77 91.73 576.01 102.9 103.2 0.3 1.000 102.9 0.0 -0.3 0.003 1 best S4 236.03 245.87 90.70 572.59 102.2 102.7 0.5 1.000 102.6 0.4 -0.1 0.000 1 best S5 232.14 243.02 89.59 564.75 100.8 103.4 2.6 1.000 102.2 1.4 -1.3 0.012 1 best S6 254.64 263.75 96.80 615.19 109.7 110.5 0.8 1.000 110.2 0.5 -0.4 0.003 3 good S7 234.36 242.98 94.24 571.58 102.9 103.7 0.8 1.000 102.4 -0.5 -1.3 0.013 1 best S8 240.58 249.81 92.05 582.44 103.9 104.8 0.9 1.000 104.2 0.3 -0.7 0.006 1 best S9 257.31 266.62 98.57 622.51 111.1 111.9 0.8 1.000 111.0 -0.1 -1.0 0.009 3 good S10 244.63 256.93 92.02 593.59 105.5 105.3 -0.2 1.000 105.3 -0.3 0.0 0.000 2 better S11 237.67 246.59 92.77 577.03 103.3 103.5 0.2 1.000 103.6 0.3 0.1 0.001 1 best S12 259.75 271.07 101.86 632.67 113.3 113.7 0.4 1.000 112.6 -0.7 -1.1 0.010 3 good S13 251.95 264.00 94.70 610.65 108.5 107.4 -1.1 1.000 107.2 -1.3 -0.2 0.002 2 better S14 261.54 271.06 104.91 637.51 114.7 113.7 -1.0 1.000 112.6 -2.1 -1.1 0.009 3 good S15 221.87 230.42 84.41 536.70 95.7 97.4 1.7 1.000 96.2 0.5 -1.1 0.012 1 best S16 250.64 260.95 98.17 609.76 109.2 106.9 -2.3 1.000 107.0 -2.3 0.0 0.000 2 better S17 191.30 234.39 85.53 511.22 92.2 92.1 -0.1 0.996 91.6 -0.6 -0.6 0.006 2 better S18 217.96 269.92 97.40 585.28 105.4 105.0 -0.4 0.996 104.4 -1.0 -0.5 0.005 1 best S19 180.07 173.33 63.34 416.74 73.8 75.1 1.3 0.998 76.5 2.7 1.4 0.018 4 fine S20 255.65 244.82 92.22 592.70 105.5 103.3 -2.2 0.998 104.1 -1.4 0.7 0.007 1 best S21 245.99 260.49 98.66 605.14 108.6 104.3 -4.3 0.999 106.0 -2.6 1.7 0.017 2 better S22 231.75 243.71 90.84 566.30 101.3 101.5 0.2 0.999 103.8 2.5 2.3 0.022 1 best S23 220.09 231.14 86.29 537.52 96.2 93.0 -3.2 0.999 94.2 -2.0 1.1 0.012 2 better S24 211.85 223.33 83.54 518.72 92.9 91.9 -1.0 0.999 93.0 0.1 1.0 0.011 2 better S25 215.84 225.80 86.72 528.36 95.0 92.7 -2.3 0.998 92.8 -2.2 0.2 0.001 2 better S26 202.66 211.18 78.75 492.59 88.1 84.6 -3.5 0.998 85.7 -2.4 1.1 0.012 3 good S27 197.52 218.35 78.83 494.70 88.4 88.5 0.1 0.998 89.3 0.9 0.8 0.009 3 good RFP 228.77 240.79 89.50 559.06 100.0 100.0 0.0 1.000 100.0 0.0 0.0 0.000 1 best RS 228.63 237.62 86.59 552.84 98.5 98.8 0.3 0.998 99.3 0.8 0.5 0.005 1 best doi:10.1371/journal.pone.0161146.t003 curveswereestablishedbyplottingthepeakareaversustheinjectedmass(μg)ofthestandard markercompounds.Acceptablelinearitywasdemonstratedforthethreemarkercompounds intheconcentrationrangesuitableforsampleanalysisasshowninTable2.Systemrepeatabil- itywasevaluatedbythepeakareaofthethreemarkercompoundsfollowingconsecutiveinjec- tionsofthemixedstandardsolution.Therelativestandarddeviation(RSD)wasfoundnotto exceed0.62,1.15and1.10%(n=6)forMT,OMTandSPR,respectively.Theaccuracyofthe HPLCmethodwasdeterminedbyrecoveryusingthestandardadditionmethod.Themean recoveryofthethreemarkercompoundswasbetween98.4%and100.1%,suggestingaccept- ableaccuracyofthemethod.TheLODandLOQweredeterminedbyappropriatelydiluting themixedstandardsolutionsandtheresultsaresummarizedinTable2. Sampleanalysis. ThecontentofMT,OMTandSPRinASFsamplesandonereference sample(RS)wasdeterminedusingthevalidatedHPLCmethod,andtheresultsarereportedin milligramspergramofASFinTable3.Somevariationinthecontentofeachalkaloidwas observedinthesamplesthatweretested.Forexample,thehighestcontentsofMT,SPR,OMT andthetotalamount(SUM)ofthemwereinS14,meanwhile,thelowestcontentsofMT,SPR, OMTandthesumofthemwereinS19. PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 6/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens Fig3.ThePCAloadingplot(A)andscoresscatterplot(B)foralltheASFsamples. doi:10.1371/journal.pone.0161146.g003 Inordertoevaluatethediscriminatingabilityofthemarkercompounds,principlecompo- nentanalysis(PCA)wasperformedusingtheindividualcontentsofthemarkercompounds andthetotalamount(SUM)astheinputdatatoconstructatwo-dimensionalmatrixwith29 observationsand4variables(29x4).Asshownintheloadingplot(Fig3A),allfourvariables arepositivelycorrelatedtoPC1withthesumofthreemarkercompoundshavingthehighest loadingonPC1.Incontrast,onlyMTispositivelycorrelatedtoPC2significantlyandOMT andSPRhavenegativeloadingsonPC2.Thetwo-componentPCAmodelaccountsfor95.40% and3.94%ofthevariationinPC1andPC2,respectively. Thescorescatterplot(Fig3B)showsthatallthesamplesaregroupedintotwoclusters markedbyGroup1andGroup2,respectively.ThesamplesinGroup1(S1,S2,S15,S17,S19, S23,S24,S25,S26andS27)allhavenegativevaluesonPC1,indicatingthatthecontentofthe markercompoundswereallrelativelylower(intherangesof180.07–221.87mg/gforMT, 173.33–234.39mg/gforSPR,63.34–88.55mg/gforOMTand416.74–537.52mg/gforSUM, respectively).ThesamplesinGroup2(S3-S14,S16,S18,S20,S21andS22)withpositiveval- uesonPC1haverelativelyhighercontentofthemarkercompounds(intherangesof217.96– 261.54mg/gforMT,243.02–271.07mg/gforSPR,89.59–104.91mg/gforOMTand564.75– 637.51mg/gforSUM,respectively).Among27samples,onlythreesamples(S17,S18and S19)werefoundtobeoutliers(outsidetheellipse)basedonthecontentofthemarkercom- pounds.Itisalsointerestingtonotethatthereferencesample(RS)withanegativevalueon PC1andthereferencefingerprint(RFP)aresituatedveryclosetotheorigin,indicatingthe “synthesized”referencefingerprint(RFP)isverysimilartoanindependentlyacquiredrefer- encesample. Chromatographicfingerprintanalysis Methodvalidationoffingerprintanalysis. ThepeakofMTwasassignedandselectedas thereferencepeak(showninFig2),thentherelativeretentiontimeandtherelativepeakarea canbecalculatedout.Theinstrumentprecisionwas6replicatedloadingS1samplesolutionto determinetheaveragequalitativesimilarity(AQLS)of0.963(RSD=3.5%)andtheaverage quantitativesimilarity(AQTS)of100.5%(RSD=0.73%).Thesamplesolutionstabilitywas analyzedonceevery95minutesafterpreparedwithin11hoursandwasfoundstablewith PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 7/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens Fig4.TheHPLCfingerprintsof27batchesoftheASFsamples,thereferencefingerprint(RFP),andthereferencesample(RS)detectedat210nm. (A)NormalHPLCfingerprints(B)therelativecharacteristicprofilingsreferencedbypeakMT. doi:10.1371/journal.pone.0161146.g004 AQLSof0.978(RSD=1.75%)andAQTSof100.2%(RSD=1.31%).Themethodrepeatability wasassessedbyanalyzingsixindependentlypreparedsamples(S1)byaboveanalyticalproce- durestogiveAQLSof0.976(RSD=0.75%)andAQTSof100.1%(RSD=0.83%).Theabove AQLSandAQTSwerecalculatedoutbytheself-madeTCMfingerprintsoftware.Thevalida- tionresultsexhibitedthatthemethodsatisfiedthefingerprintanalysiscriteria. EvaluatingASFqualitybyLQPMbasedonthefingerprintprofiling. Thevalidated HPLCmethodwasusedtogeneratechromatographicfingerprintsoftheASFsamples(shown inFig4A).Attheanalyticalwavelengthof210nm,18commonpeakswerefoundinallsam- plesandtheamplifiedchromatogramwasgivenwithlabeledpeaknumbersinFig2A.Theref- erencefingerprint(RFP)wasconstructedastheauthenticallyfingerprintbyaveragingallthe 27samplefingerprints.Therelativecharacteristicfingerprint(RCFP,showninFig4B)was constructedbyplottingtherelativepeakareaversustherelativeretentiontime.Thesamplefin- gerprintsandreferencefingerprintwereimportedtothein-housesoftwaretocalculatethe assessingresultsaspresentedinTable3.Theresultsshowthatallthesampleshavelinearquali- tativesimilarity(r)higherthan0.996anderrortermα(cid:7)0.022,indicatingthatallthesamples aresimilarinthedistributionofchemicalcomponents.Incomparison,thelinearquantitative similarity(b)hasawiderrange(76.5–112.6%).AsaLQTSmeasure,bcanexactlydiscriminate thesamplesfromtotalcontentsofallfingerprintpeaksbutactuallyrisdisabledforthefunc- tion.Forexample,S19haslowerlinearquantitativesimilarity(b)(76.5%),althoughthelinear qualitativesimilarity(r)isveryhigh(0.998).Thisindicatethatbisausefuldiscriminatingtool todifferentiatetheASFsampleswhenrisveryclosetounity. Intermsofthecriteria(showninTable1),thequalitiesofS3,S4,S5,S7,S8,S11,S15,S18, S20,S22andRSwerebest(Grade1),thoseofS1,S10,S13,S16,S17,S21,S23,S24andS25were better(Grade2),andthoseofS2,S6,S9,S12,S14,S26andS27weregood(Grade3),exceptfor thatofS19asfine(Grade4)duetothemuchlowercontentsforthe18components.Incom- parison,thePCAmethodidentifiedthreesamples(S17,S18andS19)asoutliers,andS18was singledoutbecausetherelativeamountsofthemarkercompoundsaremuchhigherthanother samples.However,itdoesnotnecessarilymeanthatS18haspoorquality.Infact,S18has acceptablequality(Grade1)basedonthequantitativefingerprintanalysis.Inaddition,two PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 8/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens moresampleswereidentifiedasdissimilar(S17belongedtoGrade2andS19belongedto Grade4)basedondifferentlinearquantitativesimilarities. ThisobservationhighlightsthepointthatPCAcanbeoverdiscriminatinginsomecases andthequantitativefingerprintanalysiscanprovideamoreaccurateevaluationoftheherbal samples. InvestigatingthecompositionsimilarityofASFreferencefingerprint. Accordingto ASFreferencefingerprint,wecancalculatethecompositionsimilarityofthethreebiggest peaksi.e.peak16,peak13andpeak17with0.478,0.458,0.055ofr,and36.9%,35.8%and 12.6%ofb,respectively.Thetotalvalueofrforthetri-markeris0.99andthetotalvalueofb forthetri-markeris85.3%,whichclearlyexpressforthedominantcontribution,respectively. SotheASFqualityisabsolutelyoccupiedbythetri-markerbuttheotherlowercontentsof componentscanbecontrolledbybfromaquantifyingprofilepattern.IfMTpeakwasselected asthereferencestandard,wecancalculatetherelativeweightcorrectionfactorSPR/MTas f ¼ASPRmMT ¼1:024(RSD=0.77%,n=5)andOMT/MTasf ¼AOMTmMT ¼1:118 SPR=MT AMTmSPR OMT=MT AMTmOMT (RSD=0.48%,n=5)accordingtothelinearregressionequations(seeninTable2)oftri- marker.BytakingthosetwofactorsintoEqs1and2respectively,wecangetthechangesforr andbwithin1.2%thatcertainlycanbeignored. CorrelatingLQTSwiththreemarkerAnalyses Inthisstudy,thealkaloidcontentintheASFwasaccuratelyquantitatedusingthemarkercom- pounds(MT,OMTandSPR).However,thequantitativeanalysisrequiresthereferencestan- dards,calibrationandmoretime.Evenifquantitationisfeasiblewhenthereferencestandards areavailable,thequantitativeresultsareonlymeaningfulwhenacceptancecriteriaforthespe- cificcompoundsexist.Unfortunatelythisisnotthecaseformostoftheherbalmedicines. Therefore,fingerprintanalysisbecomesmorecriticalifitisconsistentwiththequantitative results. Asdiscussedin“EvaluatingASFqualitybyLQPMbasedonthefingerprintprofiling”sec- tion,thelinearquantitativesimilarity(b)isfoundtobemorediscriminatingfortheAlkaloids ofSophoraflavescens.TherelationshipbetweenLQTS(b)andthequantitativeresultsofthe markercompoundsisfurtherexplored.First,theweightcontentofeachmarkercompoundin allthesampleswasaveragedtogenerateitsaveragecontent((cid:2)z),thenthepercentageoftheith markercontent(Pi%)for27samples(seeninS1Table)wascalculatedout(showninEq5) usingamasscoefficientfj ¼mmRj.Secondly,themeanofPi%valuesofthethreemarkercom- poundsineachsample(P3C%)wascalculatedaccordingtoEq6.Meanwhile,R%wascalculated byEq4.Finally,Pi%,P3C%andR%of27sampleswererespectivelyplottedvs.basshownin Fig5.LinearregressionshowsthatthecorrelationcoefficientsbetweenPi%andbare0.9471, 0.9664and0.9597forMT,SPRandOMT,respectively.Incomparison,thecorrelationcoeffi- cientbetweenP3C%andbissignificantlyhigher(0.9884).Thisindicatesthatbishighlycorre- latedtothecontentofthemarkercompounds.Itisnotsurprisingthatbisalsohighly correlatedtotheapparentcontentsimilarity(R%)asshowninFig5E,andthecorrelationcoef- ficientbetweenR%andbreachedthemostexcellentvalueof0.9950.Thisdemonstratesthat LQTS(b)isareliablesubstituteforthequantitativecontentofthemarkercompoundsandis veryeffectiveinquantitativelyevaluatingthequalityofherbalmedicines.Therefore,themulti- plemarkersanalysesforqualitycontrolcanbesubstitutedbyLQPM,whichissimple,briefly, accurateandeconomic.ASFreferencefingerprintcontained228.77mg/gofMT,240.79mg/g ofSPRand89.50mg/gofOMT,andthetotalcontentofthetri-markerwas559.06mg/gwhich wasupto70%(g/g)whenwaterwastakenout(pleaseseethewatercontentinbelowsection ‘OveralldistributionofbasicsubstancesinASFsamples’).Sowecanimmediatelycalculate PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 9/15 LinearQuantitativeProfilingMethodMonitorsAlkaloidsofSophoraFlavescens Fig5.Thelinearregressionplotsofthecontentpercentage(P%)ofthemarkercompoundsvs.thelinearquantitativesimilarity(b).(A)forMT,(B) i forSPR,(C)forOMT,(D)forP %,(E)forR%,(F)forallthemarkercompounds,P %andR%. 3C 3C doi:10.1371/journal.pone.0161146.g005 eachcontentofthethreemarkercompoundsaccordingtob.FromTable3,thebiggesterror wasnotmorethan3.5%forΔE1=R%−P3C%,ΔE2=b−P3C%andΔE3=b−R%.Inaword, LQTS(b)isabetterwaytodeterminetheoverallcontentsofASF. z P%¼ if (cid:4)100% ð5Þ i (cid:2)z j 1X 3 P %¼ P (cid:4)100% ð6Þ 3C 3 i¼1 i CorrelatingLQTSwithLQLS Thereasonwhyweusetwosimilarities(LQLSandLQTS)todifferentiateASFqualitybasedon chromatographicprofilesisthatthereisnocorrelationbetweenLQTSandLQLSof29profiles inTable3.ThePearsoncorrelationcoefficientR2=0.1194(n=29)reflectsthatwecannot thoroughlyevaluatequalityofTCMintheaccuratewaybyonlyusingLQLS(rallmorethan 0.996).SoitismuchnecessarytousethesecondmeasureofLQTS(b)anditisthehighestlevel evaluationforassessingfingerprintprofilesofTCM.Fig6nearlydisplaysanorthogonalitycor- relationbetweenrandb,whichindicatesthattheLQTSassessismoreimportantthanLQLS. ThereforeLQPMisanovelfingerprintassessingmethodlikeSQFM[37],inwhichbothLQLS andLQTSareusedtogetherforevaluatingTCMquality,andastatisticalerrorisusedtomoni- torthemethoditself. PLOSONE|DOI:10.1371/journal.pone.0161146 August16,2016 10/15
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