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  <xs:element id="tpst_SeriesBOneConvertiblePreferredStockMemberMember" abstract="true" name="SeriesBOneConvertiblePreferredStockMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesAvailableForGrantPerYear" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardMaximumNumberOfSharesAvailableForGrantPerYear" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="tpst_SaleOfStockWarrantCovenantsMaximumOwnershipPercentage" abstract="false" name="SaleOfStockWarrantCovenantsMaximumOwnershipPercentage" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="tpst_SaleOfStockExercisePriceOfWarrantsOrRights" abstract="false" name="SaleOfStockExercisePriceOfWarrantsOrRights" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:decimalItemType"/>
  <xs:element id="tpst_SeriesBConvertiblePreferredStockMemberMember" abstract="true" name="SeriesBConvertiblePreferredStockMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_PaymentOfReverseRecapitalizationTransactionCosts" abstract="false" name="PaymentOfReverseRecapitalizationTransactionCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_VestingOfEarlyExercisedStockOptionsAndRestrictedStock" abstract="false" name="VestingOfEarlyExercisedStockOptionsAndRestrictedStock" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_AtTheMarketProgramMember" abstract="true" name="AtTheMarketProgramMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_PrivateTempestMemberMember" abstract="true" name="PrivateTempestMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_SouthSanFranciscoCaliforniaAndAnnArborMichiganMember" abstract="true" name="SouthSanFranciscoCaliforniaAndAnnArborMichiganMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_A2019And2017EquityIncentivePlanMember" abstract="true" name="A2019And2017EquityIncentivePlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_SaleOfStockAmountAuthorized" abstract="false" name="SaleOfStockAmountAuthorized" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_PrepaidResearchAndDevelopmentCostsCurrent" abstract="false" name="PrepaidResearchAndDevelopmentCostsCurrent" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_WarrantIssuanceCosts" abstract="false" name="WarrantIssuanceCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_VestingOfEarlyExercisedStockOptionsAndRestrictedStockShares" abstract="false" name="VestingOfEarlyExercisedStockOptionsAndRestrictedStockShares" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="tpst_BusinessCombinationExchangeRatio" abstract="false" name="BusinessCombinationExchangeRatio" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:pureItemType"/>
  <xs:element id="tpst_TranchATermLoanMemberMember" abstract="true" name="TranchATermLoanMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_EmployeeStockOwnershipPlanMember" abstract="true" name="EmployeeStockOwnershipPlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_SaleOfStockWarrantsIssued" abstract="false" name="SaleOfStockWarrantsIssued" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="tpst_StockIssuanceCosts" abstract="false" name="StockIssuanceCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_ConversionOfPreferredStockIntoAShareOfCommonStockMemberMember" abstract="true" name="ConversionOfPreferredStockIntoAShareOfCommonStockMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_ThersholdIndexRate" abstract="false" name="ThersholdIndexRate" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="tpst_BrisbaneCaliforniaMember" abstract="true" name="BrisbaneCaliforniaMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_LesseeOperatingLeaseLiabilityToBePaidDueAfterYearFour" abstract="false" name="LesseeOperatingLeaseLiabilityToBePaidDueAfterYearFour" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_NoncashInterestAndOtherExpenseNet" abstract="false" name="NoncashInterestAndOtherExpenseNet" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_DebtInstrumentNumberOfTranches" abstract="false" name="DebtInstrumentNumberOfTranches" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="tpst_SaleOfStockWarrantCovenantsMaximumOwnershipPercentageAfterIssuingNotice" abstract="false" name="SaleOfStockWarrantCovenantsMaximumOwnershipPercentageAfterIssuingNotice" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="dtr-types:percentItemType"/>
  <xs:element id="tpst_TermLoanMemberMember" abstract="true" name="TermLoanMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_EcoR1CapitalLLCAndVersantVentureCapitalMember" abstract="true" name="EcoR1CapitalLLCAndVersantVentureCapitalMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_AdjustmentsToAdditionalPaidInCapitalReverseRecapitalizationTransactionCosts" abstract="false" name="AdjustmentsToAdditionalPaidInCapitalReverseRecapitalizationTransactionCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_SouthSanFranciscoCaliforniaMember" abstract="true" name="SouthSanFranciscoCaliforniaMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_ProceedsFromMergerRelatedCostFinancingActivities" abstract="false" name="ProceedsFromMergerRelatedCostFinancingActivities" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_SeriesAConvertiblePreferredStockMemberMember" abstract="true" name="SeriesAConvertiblePreferredStockMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardPeriodOfAutomaticIncreaseToOutstandingStockMaximum" abstract="false" name="ShareBasedCompensationArrangementByShareBasedPaymentAwardPeriodOfAutomaticIncreaseToOutstandingStockMaximum" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="tpst_UnauditedInterimFinancialStatementPolicyPolicyTextBlock" abstract="false" name="UnauditedInterimFinancialStatementPolicyPolicyTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:textBlockItemType"/>
  <xs:element id="tpst_PrivateTempestPreferredStockMemberMember" abstract="true" name="PrivateTempestPreferredStockMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_JefferiesLLCMember" abstract="true" name="JefferiesLLCMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsassumedInReverseRecapitalizationInPeriodWeightedAverageExercisePrice" abstract="false" name="ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsassumedInReverseRecapitalizationInPeriodWeightedAverageExercisePrice" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:perShareItemType"/>
  <xs:element id="tpst_NoncashLeaseExpense" abstract="false" name="NoncashLeaseExpense" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_AccruedClinicalTrialLiability" abstract="false" name="AccruedClinicalTrialLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_LitigationExpenseAmountCoveredByInsurance" abstract="false" name="LitigationExpenseAmountCoveredByInsurance" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_CommonStockWarrantsMemberMember" abstract="true" name="CommonStockWarrantsMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_NumberOfNonCancelableOperatingLeaseAgreements" abstract="false" name="NumberOfNonCancelableOperatingLeaseAgreements" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="tpst_SouthSanFranciscoCaliforniaMemberMember" abstract="true" name="SouthSanFranciscoCaliforniaMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_PrivateInvestmentInPublicEntityFinancingMember" abstract="true" name="PrivateInvestmentInPublicEntityFinancingMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_StockholdersEquityNoteStockSplitExchangeRatio" abstract="false" name="StockholdersEquityNoteStockSplitExchangeRatio" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:pureItemType"/>
  <xs:element id="tpst_TranchBTermLoanMemberMember" abstract="true" name="TranchBTermLoanMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="tpst_ConvertiblePreferredStockTextBlock" abstract="false" name="ConvertiblePreferredStockTextBlock" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:textBlockItemType"/>
  <xs:element id="tpst_SaleOfStockWarrantCovenantsNoticePeriod" abstract="false" name="SaleOfStockWarrantCovenantsNoticePeriod" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="tpst_VestingOfEarlyExerciseStockOptions" abstract="false" name="VestingOfEarlyExerciseStockOptions" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="tpst_AnnArborMichiganMemberMember" abstract="true" name="AnnArborMichiganMemberMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
</xs:schema>
