简介:<正>Foranoddfunctionf(x)definedonlyonafiniteinterval,thispaperdealswiththeexistenceofperiodicsolutionsandthenumberofsimpleperiodicsolutionsofthedifferentialdelayequation(DDE)(?)(t)=-f(x(t-1)).Byuseofthemethodofqualitativeanalysiscombinedwiththeconstructingofspecialsolutionsaseriesofinterestingresultsareobtainedontheseproblems.
简介:T1mappingusingcardiovascularmagneticresonance(CMR)introducesnoveltechniquesformyocardialtissuecharacterizationtodetectandquantifydiseaseprocessesoccurringatthemicroscopiclevel.EventhoughT1mappinghaslimitedspatialresolution,cellularandmolecularchangesoccurringwithineachvoxelcanaffecttheaggregateT1signalrenderingthemquantifiable.TheestimatedT1-basedparametersquantifiedona“map”demonstratethespatiallocalizationofthesechangeswherebyeachpixelexpressesthequantitativevalueofthatparameter.Thisquantificationpermitsdetectionofdiffusediseaseevenifitisnotdirectlyvisible.Ratherthanrelyingonnonspecificfunctionalmeasures,T1mappingfocusesonintrinsicchangesofmyocardialcompositionthatadvancesunderstandingaboutspecificdiseasepathways.Thesechangesinmyocardialtissuecompositioninformdiagnosisandprognosis.T1mappingencompassestwokeyparameters:native(i.e.,precontrast)T1andextracellularvolumefraction(ECV)derivedfromadditionalpostcontrastT1andbloodT1measurements.Theseadvancesintroducenewtoolstodetectfocalanddiffusemyocardialderangementsoccurringincardiacdiseasethatcanbeotherwisedifficulttodetect.T1andECVmappingfosterprecisionmedicineandpersonalizedcare,promisingtoimprovepatientoutcomesthroughtargetedtherapy.CapitalizingontheopportunitiesintroducedbyT1mappingandECVrequiresfurtherinvestigation.
简介:AgraphGiscalledchromatic-choosableifitschoicenumberisequaltoitschromaticnumber,namelych(G)=χ(G).Ohba’sconjecturestatesthateverygraphGwith2χ(G)+1orfewerverticesischromaticchoosable.ItisclearthatOhba’sconjectureistrueifandonlyifitistrueforcompletemultipartitegraphs.Recently,Kostochka,StiebitzandWoodallshowedthatOhba’sconjectureholdsforcompletemultipartitegraphswithpartitesizeatmostfive.Butthecompletemultipartitegraphswithnorestrictionontheirpartitesize,forwhichOhba’sconjecturehasbeenverifiedarenothingmorethanthegraphsKt+3,2*(k-t-1),1*tbyEnotomoetal.,andKt+2,3,2*(k-t-2),1*tfort≤4byShenetal..Inthispaper,usingtheconceptoff-choosable(orL0-size-choosable)ofgraphs,weshowthatOhba’sconjectureisalsotrueforthegraphsKt+2,3,2*(k-t-2),1*twhent≥5.Thus,Ohba’sconjectureistrueforgraphsKt+2,3,2*(k-t-2),1*tforallintegerst≥1.
简介:Objective:Toinvestigatetheeffectofbreast-conservationtherapyinearlystagebreastcancer.Methods:Atotalof234earlystagebreastcarcinomapatientsreceivedbreastconservingtreatmentinourhospital.Aftertheoperation,theyunderwentadjuvantchemotherapyandradiotherapy.Allofthesepatientsdesiredtopreservetheirbreasts.Results:Aftermedianfollow-upof29.46months(rangefrom3to100months),3caseshadlocalrelapseand8caseshaddistantmetastasis.Theoverallsurvivalrateof5yearwas96.7%,andthediseasefreesurvivalrateof5yearwas87.85%.Conclusion:Forearlystagebreastcarcinomapatients,classicquadrantectomy,axillarydissectionandpost-operativeadjuvantchemotherapyandradiotherapyleadtoexcellentlocalcontrolandgoodsurvival.