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1、GivingMoleculesanIdentity.OntheInterplayBetweenQSARsandPartialOrderRankingMolecules2004,9,1010-1018moleculesISSN1420-3049parisonwithexperimentallywe11-characterized,structurallysimilarcompounds.ItisdisclosedthatexperimentallyWeIl-CharaCteriZedcompoundsmayserveassubstitutesforhighlytoxiccompoundsinex
2、perimentalstudieswithoutexhibitingthesameextremetoxicity,whilefromanoverallviewpointtheyexhibitanalogousenvironmentalcharacteristics.Keywords:Noise-deficientQSARs：PartialOrderRanking;HasseDiagrams;Organo-phosphates;Nerveagents.IntroductionThelackofdataforthevastmajorityofexistingchemicalsiswel1known
3、andconstitutesobviouslyasignificantprobleminrelationtoe.g.,riskassessment.Thus,accordingtotheEuropeanCommissiononlyinthecaseofapproximately14%oftheHPV(HighProductionVolume)chemicalsontheEINECSlist,comprising100,116entries,theminimumrequireddataforevaluatingthechemicalswereavai!able.Forapproximately2
4、1%ofthecompoundsnodataatallconcerningtheirpotentialimpactontheenvironmentandhumanhealthwerefound1.InastudybytheDanishEPA2itwasconcludedthateveninmajorsourcesoftestdata,informationonselectedecotoxicologicaleffectscouldonlybefoundforverylimitednumberofthecompoundsontheEINECSlist(acutetoxiceffect:10.5%
5、,reproductivedamage:2.2%,geneticdamage:3.2%,carcinogeniceffect:1.6%,effectontheaquaticenvironment:3.5%).Sinceintensiveandexperimentalevaluationsofchemicalsarcrathercostly3,andreferencestherein,QSRderiveddataforphysico-chemicalaswel1astoxicologicalMolecules2004,91011endpointsappearasanattractivealter
6、native.However,althoughthelackofdatacanberemediedtoacertainextentthroughQSARmodeling,thiswillleaveuswiththepossibilityofcharacterizingthesinglemoleculesbasedonsingleparameters,suchassolubility,octanol-waterpartitioning,vaporpressure,biodegradation-andbioaccumulationpotential.However,toestablishanide
7、ntityforagivenmolecule,e.g.,asapotentialPBTsubstancerequirestakingseveralparametersintoaccountsimultaneously,i.e.,Persistence,BioaccumulationandToxicity.Inthepresentstudytheadvantageoususeofso-callednoise-deficientQSARs,developedusingdatafromexperimentallywe11-characterizedcompoundsasthetrainingset,
8、asapreprocessingtooltoderivethedesiredendpointsforsubstanceswhereexperimentaldataarenotavailable.Subsequently,theseendpointswillbeappliedasdescriptorsinestablishingapartialorderingofcombinedsetsofcompounds,herebygivingtheexperimentallynotinvestigatedcompoundsanidentitybycomparingtostructurallyrelate
9、d,experimentallywel!-characterizedcompounds4,53.MethodsQSARInthepresentstudytheend-pointsaregeneratedthroughQSARmodeling,theEPISuitebeingtheprimarytool6.Togeneratenew1inearnoise-deficientQSARmodels,EPIgeneratedvaluesfor,e.g.,logSol,logK0W,logVPandlogH1.Carefurthertreatedbyestimatingtherelationshipsb
10、etweentheEPIgenerateddataandavai!ableexperimentaldata7fortheaseriesofexperimentallywell-characterizedcompoundsinthetrainingset,thegeneralformulafortheend-points,Di,tobeusedbeingDi=aiDEPI+bi(1)DEPIistheEPIgeneratedend-pointvalueandaiandbibeingconstants.ThelogKOWvaluesgeneratedinthiswayaresubsequently
11、usedtogeneratelogBCFvaluesaccordingtotheConnellformula8logBCF=6.910-3(logKow)1.8510-1(log4K)3+1.55(logKow)2ow4.181ogKow+4.72(2)Themodelwassomewhatmodified.Thus,a1ineardecreaseoflogBCFwithlogKOWwasassumedintherange1logK0W2.33,thelogBCF=0.5forlogKOW1,thelattervaluebeinginaccordancewithBCFWin6.Subseque
12、ntlydatafornotcharacterizedcompoundsarecalculatedbasedontheseformulaeandtheappropriateEPIgenerateddata.Inthepresentstudyatrainingsetconsistingofupto65organophosphorus(OP)insecticidesareapplied.Duetothelackofexperimentaldataforthetrainingsetcompoundswithregardstotheirbiodegradation,theaboveprocedurew
13、asnotapplicabletothebiodegradationpotential,BDP3.Thus,dataonBDP3areusedasestimatedbytheappropriatemodulesintheEPlSuite.Molecules2004,91012PartialOrderRankingThetheoryofpartialorderrankingispresentedelsewhere9anditsapplicationinrelationtoQSRispresentedinpreviouspapers1013.Inbrief,PartialOrderRankingi
14、sasimpleprinciple,whichaprioriincludesastheonlymathematicalrelation.Ifasystemisconsidered,whichcanbedescribedbyaseriesofdescriptorspi,agivencompound,characterizedbythedescriptorspi（八）canbecomparedtoanothercompoundB,characterizedbythedescriptorspi(B),throughcomparisonofthesingledescriptors,respective
15、ly.Thus,compoundwillberankedhigherthancompoundB,i.e.,BA,ifatleastonedescriptorforAishigherthanthecorrespondingdescriptorforBandnodescriptorforislowerthanthecorrespondingdescriptorforB.If,ontheotherhand,pi()pi(B)fordescriptoriandpj()pj(B)fordescriptorj,AandBwillbedenotedincomparable.Inmathematicalter
16、msthiscanbeexpressedasBApi(B)pi（八）foralli(3)Obviously,ifalldescriptorsforAareequaltothecorrespondingdescriptorsforB,i.e.,pi(B)=pi（八）foralli,thetwocompoundswillhaveidenticalrankandwillbeconsideredasequivalent.ItfurtherfollowsthatifABandBCthenAC.IfnorankcanbeestablishedbetweenandBthesecompoundsaredenotedasincomparable,i.e.theycannotbeassignedamutualorder.Inpartialorderrankingincontrasttostandardmultidimensionalstatisticalanalysis-neitherassump
