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  <xsd:element name="ExerciseOfWarrantsIntoCommonSharesShares" id="clrb_ExerciseOfWarrantsIntoCommonSharesShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="TwoThousandTwentyThreeTrancheBPreferredWarrantsMember" id="clrb_TwoThousandTwentyThreeTrancheBPreferredWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentyThreeTranchePreferredWarrantsMember" id="clrb_TwoThousandTwentyThreeTranchePreferredWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="September2023PrivatePlacementMember" id="clrb_September2023PrivatePlacementMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SeriesE1PreferredStockMember" id="clrb_SeriesE1PreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SeriesE3PreferredStockMember" id="clrb_SeriesE3PreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SeriesE4PreferredStockMember" id="clrb_SeriesE4PreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SeriesE2PreferredStockMember" id="clrb_SeriesE2PreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SettlementOfWarrantsToEquity" id="clrb_SettlementOfWarrantsToEquity" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="TrancheWarrantsMember" id="clrb_TrancheWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="September2023WarrantsMember" id="clrb_September2023WarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="UnrestrictedCashAndCashEquivalents" id="clrb_UnrestrictedCashAndCashEquivalents" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ProceedsFromWarrantExercisesNetOfCosts" id="clrb_ProceedsFromWarrantExercisesNetOfCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="SeriesDConvertiblePreferredStockMember" id="clrb_SeriesDConvertiblePreferredStockMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="October2022WarrantsMember" id="clrb_October2022WarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour" id="clrb_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFour" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="GoingConcernPolicyTextBlock" id="clrb_GoingConcernPolicyTextBlock" type="dtr-types:textBlockItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="TwoThousandTwentyFourTrancheaWarrantsMember" id="clrb_TwoThousandTwentyFourTrancheaWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NumberOfDaysFollowingAnnouncementOfPrescriptionDrugUseFeeActGoalByFda" id="clrb_NumberOfDaysFollowingAnnouncementOfPrescriptionDrugUseFeeActGoalByFda" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="TwoThousandTwentyFourTrancheBWarrantsMember" id="clrb_TwoThousandTwentyFourTrancheBWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NumberOfDaysFollowingAnnouncementOfReceiptOfWrittenApprovalNewDrugApplication" id="clrb_NumberOfDaysFollowingAnnouncementOfReceiptOfWrittenApprovalNewDrugApplication" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="TwoThousandTwentyFourTrancheCWarrantsMember" id="clrb_TwoThousandTwentyFourTrancheCWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NumberOfDaysFollowingAnnouncementOfQuarterlyGrossRevenueFromSalesOfDrug" id="clrb_NumberOfDaysFollowingAnnouncementOfQuarterlyGrossRevenueFromSalesOfDrug" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ThresholdQuarterlyGrossRevenuesTriggerForWarrantExpiryDate" id="clrb_ThresholdQuarterlyGrossRevenuesTriggerForWarrantExpiryDate" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ExerciseOfWarrantsIntoPreferredSharesValue" id="clrb_ExerciseOfWarrantsIntoPreferredSharesValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ExerciseOfWarrantsIntoPreferredSharesShares" id="clrb_ExerciseOfWarrantsIntoPreferredSharesShares" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="July2024WarrantsMember" id="clrb_July2024WarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="SingleReportableSegmentMember" id="clrb_SingleReportableSegmentMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ResearchAndDevelopmentDirectExpensePhase2StudyInCloverWam" id="clrb_ResearchAndDevelopmentDirectExpensePhase2StudyInCloverWam" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ResearchAndDevelopmentDirectExpensePhase1StudyInPediatricTumors" id="clrb_ResearchAndDevelopmentDirectExpensePhase1StudyInPediatricTumors" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ResearchAndDevelopmentDirectExpenseManufacturingAndRelatedCosts" id="clrb_ResearchAndDevelopmentDirectExpenseManufacturingAndRelatedCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ResearchAndDevelopmentIndirectExpensePreClinicalProjectsCosts" id="clrb_ResearchAndDevelopmentIndirectExpensePreClinicalProjectsCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ResearchAndDevelopmentIndirectExpenseGeneralResearchAndDevelopmentCosts" id="clrb_ResearchAndDevelopmentIndirectExpenseGeneralResearchAndDevelopmentCosts" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="GeneralAndAdministrativeExpenses" id="clrb_GeneralAndAdministrativeExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ExistingWarrantsMember" id="clrb_ExistingWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="PublicOfferingMember" id="clrb_PublicOfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NumberOfUnitsIssued" id="clrb_NumberOfUnitsIssued" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="NumberOfSharesInUnit" id="clrb_NumberOfSharesInUnit" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="NumberOfWarrantsInUnit" id="clrb_NumberOfWarrantsInUnit" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="PricePerUnit" id="clrb_PricePerUnit" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="StockIssuedDuringPeriodSharesStockAndWarrants" id="clrb_StockIssuedDuringPeriodSharesStockAndWarrants" type="xbrli:sharesItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="StockIssuedDuringPeriodValueStockAndWarrants" id="clrb_StockIssuedDuringPeriodValueStockAndWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="TwoThousandTwentyFiveJulyCommonWarrantsMember" id="clrb_TwoThousandTwentyFiveJulyCommonWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentyFiveRepresentativeWarrantsMember" id="clrb_TwoThousandTwentyFiveRepresentativeWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="ResearchAndDevelopmentDirectExpensePhase1StudyInTripleNegativeBreastCancer" id="clrb_ResearchAndDevelopmentDirectExpensePhase1StudyInTripleNegativeBreastCancer" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="NumberOfWarrantsIssued" id="clrb_NumberOfWarrantsIssued" type="xbrli:integerItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ProceedsFromIssuanceAndExerciseOfWarrants" id="clrb_ProceedsFromIssuanceAndExerciseOfWarrants" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ProceedsFromIssuanceOfCommonStockAndWarrantsNet" id="clrb_ProceedsFromIssuanceOfCommonStockAndWarrantsNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ClassOfWarrantOrRightPricePerWarrantOrRight" id="clrb_ClassOfWarrantOrRightPricePerWarrantOrRight" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightPricePaidPerWarrantOrRight" id="clrb_ClassOfWarrantOrRightPricePaidPerWarrantOrRight" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="NatureOfBusinessAndOrganizationTable" id="clrb_NatureOfBusinessAndOrganizationTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="NatureOfBusinessAndOrganizationLineItem" id="clrb_NatureOfBusinessAndOrganizationLineItem" type="xbrli:stringItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentyFiveOctoberWarrantsMember" id="clrb_TwoThousandTwentyFiveOctoberWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentyFiveOctoberSeriesOneCommonWarrantsMember" id="clrb_TwoThousandTwentyFiveOctoberSeriesOneCommonWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentyFiveOctoberSeriesTwoCommonWarrantsMember" id="clrb_TwoThousandTwentyFiveOctoberSeriesTwoCommonWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="LesseeOperatingLeaseAggregateLeasePaymentsDue" id="clrb_LesseeOperatingLeaseAggregateLeasePaymentsDue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="OperatingLeaseMonthlyPaymentDue" id="clrb_OperatingLeaseMonthlyPaymentDue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
  <xsd:element name="OperatingLeaseAnnualRentEscalationPercent" id="clrb_OperatingLeaseAnnualRentEscalationPercent" type="dtr-types:percentItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="LesseeOperatingLeaseAggregateLeasePaymentsDueAdjustedForRentAbatements" id="clrb_LesseeOperatingLeaseAggregateLeasePaymentsDueAdjustedForRentAbatements" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="StockCapitalReservedForFutureIssuanceUpfront" id="clrb_StockCapitalReservedForFutureIssuanceUpfront" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="StockMaximumCapitalReservedForFutureIssuanceMilestoneBased" id="clrb_StockMaximumCapitalReservedForFutureIssuanceMilestoneBased" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="RegisteredDirectOfferingMember" id="clrb_RegisteredDirectOfferingMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="DepreciationAndAmortizationOfAssets" id="clrb_DepreciationAndAmortizationOfAssets" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="StockCapitalReservedForFutureIssuanceNetUpfront" id="clrb_StockCapitalReservedForFutureIssuanceNetUpfront" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="IncreaseDecreaseInOperatingLeaseRightOfUseAsset" id="clrb_IncreaseDecreaseInOperatingLeaseRightOfUseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ResearchAndDevelopmentDirectExpensePhase3StudyInCloverWam" id="clrb_ResearchAndDevelopmentDirectExpensePhase3StudyInCloverWam" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="debit" />
  <xsd:element name="ClassOfWarrantOrRightCallTriggerVolumeWeightedAveragePriceThreshold" id="clrb_ClassOfWarrantOrRightCallTriggerVolumeWeightedAveragePriceThreshold" type="dtr-types:perShareItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightCallTriggerConsecutiveTradingDaysRequirement" id="clrb_ClassOfWarrantOrRightCallTriggerConsecutiveTradingDaysRequirement" type="xbrli:durationItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" />
  <xsd:element name="ClassOfWarrantOrRightCallTriggerAverageTradingVolumeThreshold" id="clrb_ClassOfWarrantOrRightCallTriggerAverageTradingVolumeThreshold" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="TwoThousandTwentySixMayPreFundedWarrantsMember" id="clrb_TwoThousandTwentySixMayPreFundedWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentySixMayTrancheCommonWarrantsMember" id="clrb_TwoThousandTwentySixMayTrancheCommonWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentySixMayTrancheBCommonWarrantsMember" id="clrb_TwoThousandTwentySixMayTrancheBCommonWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentySixMayTrancheCCommonWarrantsMember" id="clrb_TwoThousandTwentySixMayTrancheCCommonWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="TwoThousandTwentySixMayPlacementAgentWarrantsMember" id="clrb_TwoThousandTwentySixMayPlacementAgentWarrantsMember" type="dtr-types:domainItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="true" />
  <xsd:element name="StockCapitalReservedForFutureIssuanceGrossUpfront" id="clrb_StockCapitalReservedForFutureIssuanceGrossUpfront" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="instant" abstract="false" xbrli:balance="credit" />
  <xsd:element name="ValueOfWarrantsIssuedToPlacementAgent" id="clrb_ValueOfWarrantsIssuedToPlacementAgent" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" nillable="true" xbrli:periodType="duration" abstract="false" xbrli:balance="credit" />
</xsd:schema>
