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<!-- DFIN ActiveDisclosure(SM) XBRL Schema Document - http://www.dfinsolutions.com/ -->
<!-- Creation Date      : 2020-02-27T02:11:59.8583442+00:00 -->
<!-- Version            : 5.0.1.321 -->
<!-- Package ID         : 09685bea3c2849ca8eda690d85b4f900 -->
<!-- Copyright (c) 2020 Donnelley Financial Solutions, Inc. All Rights Reserved. -->
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  <xsd:element id="chrs_PrincipalAmountOfNotesConvertedIntoSharesOfCommonStockAtConversionRate" name="PrincipalAmountOfNotesConvertedIntoSharesOfCommonStockAtConversionRate" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_PercentageOfApplicableConversionPrice" name="PercentageOfApplicableConversionPrice" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="chrs_PercentageToPayInCashOfParValueOfNotes" name="PercentageToPayInCashOfParValueOfNotes" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="chrs_MinimumOrderAmountToBeSettled" name="MinimumOrderAmountToBeSettled" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_MinimumBorrowingsForIndebtednessDefaulters" name="MinimumBorrowingsForIndebtednessDefaulters" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_RelatedPartyDebtMember" name="RelatedPartyDebtMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_PrepaymentPremiumConditionOneMember" name="PrepaymentPremiumConditionOneMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_PrepaymentPremiumConditionTwoMember" name="PrepaymentPremiumConditionTwoMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_PrepaymentPremiumConditionThreeMember" name="PrepaymentPremiumConditionThreeMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_PrepaymentPremiumConditionFourMember" name="PrepaymentPremiumConditionFourMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_DebtInstrumentPrepaymentPremiumDescription" name="DebtInstrumentPrepaymentPremiumDescription" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_DebtInstrumentPrepaymentPercentage" name="DebtInstrumentPrepaymentPercentage" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="chrs_PaymentToLenderForClosingFeeInFormOfOriginationIssueDiscount" name="PaymentToLenderForClosingFeeInFormOfOriginationIssueDiscount" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_PercentageRequiredToPayAdditionalExitFeeOnPrincipalAmount" name="PercentageRequiredToPayAdditionalExitFeeOnPrincipalAmount" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_RevenueFromContractWithCustomerExcludingAssessedTaxInNextTwelveMonths" name="RevenueFromContractWithCustomerExcludingAssessedTaxInNextTwelveMonths" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_RevenueFromContractWithCustomerExcludingAssessedTaxInYearTwo" name="RevenueFromContractWithCustomerExcludingAssessedTaxInYearTwo" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_RevenueFromContractWithCustomerExcludingAssessedTaxThereafter" name="RevenueFromContractWithCustomerExcludingAssessedTaxThereafter" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_LeaseExpirationDateMonthAndYear" name="LeaseExpirationDateMonthAndYear" type="xbrli:gYearMonthItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_OperatingLeasesExtendedExpirationPeriod" name="OperatingLeasesExtendedExpirationPeriod" type="xbrli:durationItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_CorporateHeadquartersLeaseAgreementMember" name="CorporateHeadquartersLeaseAgreementMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_LaboratoryFacilitiesLeaseAgreementMember" name="LaboratoryFacilitiesLeaseAgreementMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_NewCamarilloLeaseMember" name="NewCamarilloLeaseMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_NumberOfLaboratoryFacilityStructure" name="NumberOfLaboratoryFacilityStructure" type="xbrli:integerItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_ExtendedLeaseTermDateOne" name="ExtendedLeaseTermDateOne" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_ExtendedLeaseTermDateTwo" name="ExtendedLeaseTermDateTwo" type="xbrli:dateItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_AdditionalAreaOfRealEstatePropertyLeased" name="AdditionalAreaOfRealEstatePropertyLeased" type="num:areaItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="chrs_AreaOfLaboratoryFacility" name="AreaOfLaboratoryFacility" type="num:areaItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" />
  <xsd:element id="chrs_OperatingLeaseLiabilitiesAbstract" name="OperatingLeaseLiabilitiesAbstract" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_MaximumAmountSalesAgentMaySellCommonStock" name="MaximumAmountSalesAgentMaySellCommonStock" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_PercentageOfGrossSalesProceedsOfCommonStockPayableAsCompensation" name="PercentageOfGrossSalesProceedsOfCommonStockPayableAsCompensation" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_PaymentsForCommissionAndOfferingExpenses" name="PaymentsForCommissionAndOfferingExpenses" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_AtTheMarketEquityOfferingProgramMember" name="AtTheMarketEquityOfferingProgramMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_CowenAndCompanyLLCMember" name="CowenAndCompanyLLCMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_UnderwrittenPublicOfferingMember" name="UnderwrittenPublicOfferingMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_RateOfIncreaseInNumberOfCommonTockAvailableForIssuance" name="RateOfIncreaseInNumberOfCommonTockAvailableForIssuance" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_TwoThousandAndFourteenEquityIncentiveAwardPlanMember" name="TwoThousandAndFourteenEquityIncentiveAwardPlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_TwoThousandSeventeenBonusPayoutSettledInRestrictedStockUnitsRSUsMember" name="TwoThousandSeventeenBonusPayoutSettledInRestrictedStockUnitsRSUsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_PerformanceStockOptionsMember" name="PerformanceStockOptionsMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_NonemployeesStockBasedCompensationMember" name="NonemployeesStockBasedCompensationMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_TwoThousandAndFourteenEmployeeStockPurchasePlanMember" name="TwoThousandAndFourteenEmployeeStockPurchasePlanMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodEstimatedGrantDateFairValue" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardEquityInstrumentsOtherThanOptionsGrantsInPeriodEstimatedGrantDateFairValue" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="chrs_RateOfIncreaseInNumberOfCommonStockOutstandingReserveForFutureIssuance" name="RateOfIncreaseInNumberOfCommonStockOutstandingReserveForFutureIssuance" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_EmployeeServiceShareBasedCompensationOfferingPeriodOne" name="EmployeeServiceShareBasedCompensationOfferingPeriodOne" type="xbrli:gMonthDayItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_EmployeeServiceShareBasedCompensationOfferingPeriodTwo" name="EmployeeServiceShareBasedCompensationOfferingPeriodTwo" type="xbrli:gMonthDayItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_DefinedContributionPlanEmployerMatchingContributionOfEachParticipantsContributionPlan" name="DefinedContributionPlanEmployerMatchingContributionOfEachParticipantsContributionPlan" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="chrs_TerminationSeveranceAndRelatedCostMember" name="TerminationSeveranceAndRelatedCostMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_EffectiveIncomeTaxRateReconciliationPermanentDifferences" name="EffectiveIncomeTaxRateReconciliationPermanentDifferences" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_EffectiveIncomeTaxRateReconciliationTaxExpenseAndCreditsResearch" name="EffectiveIncomeTaxRateReconciliationTaxExpenseAndCreditsResearch" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_EffectiveIncomeTaxRateReconciliationNetOperatingLosses" name="EffectiveIncomeTaxRateReconciliationNetOperatingLosses" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_EffectiveIncomeTaxRateReconciliationChangeInTaxReformTaxRate" name="EffectiveIncomeTaxRateReconciliationChangeInTaxReformTaxRate" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_IncomeTaxesLineItems" name="IncomeTaxesLineItems" type="xbrli:stringItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_IncomeTaxesTable" name="IncomeTaxesTable" type="xbrli:stringItemType" substitutionGroup="xbrldt:hypercubeItem" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_DeferredTaxLiabilitiesRightOfUseAsset" name="DeferredTaxLiabilitiesRightOfUseAsset" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_DeferredTaxAssetLiabilityNet" name="DeferredTaxAssetLiabilityNet" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="chrs_OperatingLossCarryforwardsExpirationYear" name="OperatingLossCarryforwardsExpirationYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_TaxCreditCarryforwardExpirationYear" name="TaxCreditCarryforwardExpirationYear" type="xbrli:gYearItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_UnrecognizedTaxBenefitsIncreaseDecreaseResultingFromPriorPeriodTaxPositions" name="UnrecognizedTaxBenefitsIncreaseDecreaseResultingFromPriorPeriodTaxPositions" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" xbrli:balance="credit" />
  <xsd:element id="chrs_EmployeesAndNonemployeesStockOptionMember" name="EmployeesAndNonemployeesStockOptionMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_ConvertibleNotesMember" name="ConvertibleNotesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_MedpaceIncMember" name="MedpaceIncMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_RecruitingServicesMember" name="RecruitingServicesMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_InteKrinRussiaMember" name="InteKrinRussiaMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_DennisMLanfearMember" name="DennisMLanfearMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_ChiefExecutiveOfficerAndBoardOfDirectorMember" name="ChiefExecutiveOfficerAndBoardOfDirectorMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
  <xsd:element id="chrs_BusinessCombinationSecuritiesAcquiredPercentage" name="BusinessCombinationSecuritiesAcquiredPercentage" type="num:percentItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="false" />
  <xsd:element id="chrs_LicenseAgreementUpfrontPayment" name="LicenseAgreementUpfrontPayment" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="chrs_AggregateMilestonePaymentInConnectionWithAchievementOfCertainDevelopmentRegulatoryAndSalesMilestones" name="AggregateMilestonePaymentInConnectionWithAchievementOfCertainDevelopmentRegulatoryAndSalesMilestones" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="chrs_OptionExerciseFess" name="OptionExerciseFess" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="chrs_TechnologyTransferForManufacturingOfLicensedProductFees" name="TechnologyTransferForManufacturingOfLicensedProductFees" type="xbrli:monetaryItemType" substitutionGroup="xbrli:item" xbrli:periodType="instant" nillable="true" abstract="false" xbrli:balance="debit" />
  <xsd:element id="chrs_InnoventBiologicsSuzhouCompanyLimitedLicenseAgreementMember" name="InnoventBiologicsSuzhouCompanyLimitedLicenseAgreementMember" type="nonnum:domainItemType" substitutionGroup="xbrli:item" xbrli:periodType="duration" nillable="true" abstract="true" />
</xsd:schema>
