<?xml version="1.0" encoding="utf-8"?>
<!--Generated by DFIN XBRL Instance Document - http://www.dfinsolutions.com/ - Version R3.0 - on 12-August-2021 [09:12:49] {AM}-->
<schema targetNamespace="http://www.tempesttx.com/20210630" elementFormDefault="qualified" xmlns:tpst="http://www.tempesttx.com/20210630" xmlns="http://www.w3.org/2001/XMLSchema" xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:xbrli="http://www.xbrl.org/2003/instance" xmlns:xbrldt="http://xbrl.org/2005/xbrldt" xmlns:xl="http://www.xbrl.org/2003/XLink" xmlns:us-gaap="http://fasb.org/us-gaap/2020-01-31" xmlns:country="http://xbrl.sec.gov/country/2020-01-31" xmlns:currency="http://xbrl.sec.gov/currency/2020-01-31" xmlns:dei="http://xbrl.sec.gov/dei/2020-01-31" xmlns:exch="http://xbrl.sec.gov/exch/2020-01-31" xmlns:naics="http://xbrl.sec.gov/naics/2017-01-31" xmlns:sic="http://xbrl.sec.gov/sic/2020-01-31" xmlns:us-types="http://fasb.org/us-types/2020-01-31" xmlns:stpr="http://xbrl.sec.gov/stpr/2018-01-31" xmlns:deprecated="http://www.xbrl.org/2009/arcrole/fact-explanatoryFact" xmlns:nonnum="http://www.xbrl.org/dtr/type/non-numeric" xmlns:num="http://www.xbrl.org/dtr/type/numeric" xmlns:srt="http://fasb.org/srt/2020-01-31" xmlns:srt-types="http://fasb.org/srt-types/2020-01-31">
<annotation>
<appinfo>
<link:roleType roleURI="http://www.tempesttx.com/role/CoverPage" id="CoverPage">
<link:definition>1001 - Document - Cover Page</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConsolidatedBalanceSheets" id="ConsolidatedBalanceSheets">
<link:definition>1002 - Statement - Consolidated Balance Sheets</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConsolidatedBalanceSheetsParenthetical" id="ConsolidatedBalanceSheetsParenthetical">
<link:definition>1003 - Statement - Consolidated Balance Sheets (Parenthetical)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConsolidatedStatementsOfOperationsUnaudited" id="ConsolidatedStatementsOfOperationsUnaudited">
<link:definition>1004 - Statement - Consolidated Statements of Operations (Unaudited)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConsolidatedStatementsOfConvertiblePreferredStockAndStockholdersEquityDeficitUnaudited" id="ConsolidatedStatementsOfConvertiblePreferredStockAndStockholdersEquityDeficitUnaudited">
<link:definition>1005 - Statement - Consolidated Statements of Convertible Preferred Stock and Stockholders' Equity (Deficit) (Unaudited)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConsolidatedStatementsOfConvertiblePreferredStockAndStockholdersEquityDeficitUnauditedParenthetical" id="ConsolidatedStatementsOfConvertiblePreferredStockAndStockholdersEquityDeficitUnauditedParenthetical">
<link:definition>1006 - Statement - Consolidated Statements of Convertible Preferred Stock and Stockholders' Equity (Deficit) (Unaudited) (Parenthetical)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConsolidatedStatementsOfCashFlowsUnaudited" id="ConsolidatedStatementsOfCashFlowsUnaudited">
<link:definition>1007 - Statement - Consolidated Statements of Cash Flows (Unaudited)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/OrganizationAndDescriptionOfTheBusiness" id="OrganizationAndDescriptionOfTheBusiness">
<link:definition>1008 - Disclosure - Organization and Description of The Business</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/SummaryOfSignificantAccountingPolicies" id="SummaryOfSignificantAccountingPolicies">
<link:definition>1009 - Disclosure - Summary of Significant Accounting Policies</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/MillendoMerger" id="MillendoMerger">
<link:definition>1010 - Disclosure - Millendo Merger</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/FairValueMeasurements" id="FairValueMeasurements">
<link:definition>1011 - Disclosure - Fair Value Measurements</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/TransactionsWithRelatedParties" id="TransactionsWithRelatedParties">
<link:definition>1012 - Disclosure - Transactions with Related Parties</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/BalanceSheetItems" id="BalanceSheetItems">
<link:definition>1013 - Disclosure - Balance Sheet Items</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/EarlyOptionExerciseLiability" id="EarlyOptionExerciseLiability">
<link:definition>1014 - Disclosure - Early Option Exercise Liability</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/CommitmentAndContingencies" id="CommitmentAndContingencies">
<link:definition>1015 - Disclosure - Commitment and Contingencies</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/LoanPayable" id="LoanPayable">
<link:definition>1016 - Disclosure - Loan Payable</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConvertiblePreferredStock" id="ConvertiblePreferredStock">
<link:definition>1017 - Disclosure - Convertible Preferred Stock</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/CommonStock" id="CommonStock">
<link:definition>1018 - Disclosure - Common Stock</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/StockCompensation" id="StockCompensation">
<link:definition>1019 - Disclosure - Stock Compensation</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/RetirementPlan" id="RetirementPlan">
<link:definition>1020 - Disclosure - Retirement Plan</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/NetLossPerShare" id="NetLossPerShare">
<link:definition>1021 - Disclosure - Net Loss Per Share</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/SubsequentEvents" id="SubsequentEvents">
<link:definition>1022 - Disclosure - Subsequent Events</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/SummaryOfSignificantAccountingPoliciesPolicies" id="SummaryOfSignificantAccountingPoliciesPolicies">
<link:definition>1023 - Disclosure - Summary of Significant Accounting Policies (Policies)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/SummaryOfSignificantAccountingPoliciesTables" id="SummaryOfSignificantAccountingPoliciesTables">
<link:definition>1024 - Disclosure - Summary of Significant Accounting Policies (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/FairValueMeasurementsTables" id="FairValueMeasurementsTables">
<link:definition>1025 - Disclosure - Fair Value Measurements (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/BalanceSheetItemsTables" id="BalanceSheetItemsTables">
<link:definition>1026 - Disclosure - Balance Sheet Items (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/CommitmentAndContingenciesTables" id="CommitmentAndContingenciesTables">
<link:definition>1027 - Disclosure - Commitment and Contingencies (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConvertiblePreferredStockTables" id="ConvertiblePreferredStockTables">
<link:definition>1028 - Disclosure - Convertible Preferred Stock (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/StockCompensationTables" id="StockCompensationTables">
<link:definition>1029 - Disclosure - Stock  Compensation (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/NetLossPerShareTables" id="NetLossPerShareTables">
<link:definition>1030 - Disclosure - Net Loss Per Share (Tables)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/OrganizationAndDescriptionOfTheBusinessDetails" id="OrganizationAndDescriptionOfTheBusinessDetails">
<link:definition>1031 - Disclosure - Organization and Description of The Business (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/SummaryOfSignificantAccountingPoliciesDetails" id="SummaryOfSignificantAccountingPoliciesDetails">
<link:definition>1032 - Disclosure - Summary of Significant Accounting Policies (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/SummaryOfSignificantAccountingPoliciesEstimatedUsefulLivesOfPropertyPlantAndEquipmentDetails" id="SummaryOfSignificantAccountingPoliciesEstimatedUsefulLivesOfPropertyPlantAndEquipmentDetails">
<link:definition>1033 - Disclosure - Summary of Significant Accounting Policies - Estimated Useful Lives Of Property Plant And Equipment (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/MillendoMergerAdditionalInformationDetail" id="MillendoMergerAdditionalInformationDetail">
<link:definition>1034 - Disclosure - Millendo Merger - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/FairValueMeasurementsRecurringBasisDetails" id="FairValueMeasurementsRecurringBasisDetails">
<link:definition>1035 - Disclosure - Fair Value Measurements - Recurring Basis (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/TransactionsWithRelatedPartiesDetails" id="TransactionsWithRelatedPartiesDetails">
<link:definition>1036 - Disclosure - Transactions with Related Parties (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/BalanceSheetItemsPrepaidExpensesAndOtherCurrentAssetDetails" id="BalanceSheetItemsPrepaidExpensesAndOtherCurrentAssetDetails">
<link:definition>1037 - Disclosure - Balance Sheet Items - Prepaid Expenses and Other Current Asset (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/BalanceSheetItemsPropertyAndEquipmentNetDetails" id="BalanceSheetItemsPropertyAndEquipmentNetDetails">
<link:definition>1038 - Disclosure - Balance Sheet Items - Property and Equipment, Net (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/BalanceSheetItemsAccruedLiabilitiesDetails" id="BalanceSheetItemsAccruedLiabilitiesDetails">
<link:definition>1039 - Disclosure - Balance Sheet Items - Accrued Liabilities (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/BalanceSheetItemsAdditionalInformationDetail" id="BalanceSheetItemsAdditionalInformationDetail">
<link:definition>1040 - Disclosure - Balance Sheet Items - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/EarlyOptionExerciseLiabilityDetails" id="EarlyOptionExerciseLiabilityDetails">
<link:definition>1041 - Disclosure - Early Option Exercise Liability (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/CommitmentsAndContingenciesDetails" id="CommitmentsAndContingenciesDetails">
<link:definition>1042 - Disclosure - Commitments and Contingencies (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/CommitmentsAndContingenciesFutureMinimumRentalPaymentsUnderOperatingLeasesWithNoncancelableTermsDetails" id="CommitmentsAndContingenciesFutureMinimumRentalPaymentsUnderOperatingLeasesWithNoncancelableTermsDetails">
<link:definition>1043 - Disclosure - Commitments and Contingencies - Future minimum rental payments under operating leases with noncancelable terms (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/LoanPayableAdditionalInformationDetail" id="LoanPayableAdditionalInformationDetail">
<link:definition>1044 - Disclosure - Loan Payable - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConvertiblePreferredStockSummaryOfConvertiblePreferredStockDetail" id="ConvertiblePreferredStockSummaryOfConvertiblePreferredStockDetail">
<link:definition>1045 - Disclosure - Convertible Preferred Stock - Summary of  Convertible Preferred Stock (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/ConvertiblePreferredStockAdditionalInformationDetail" id="ConvertiblePreferredStockAdditionalInformationDetail">
<link:definition>1046 - Disclosure - Convertible Preferred Stock - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/CommonStockAdditionalInformationDetail" id="CommonStockAdditionalInformationDetail">
<link:definition>1047 - Disclosure - Common Stock - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/StockCompensationAdditionalInformationDetails" id="StockCompensationAdditionalInformationDetails">
<link:definition>1048 - Disclosure - Stock  Compensation - Additional Information (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/StockCompensationStockBasedCompensationExpenseDetails" id="StockCompensationStockBasedCompensationExpenseDetails">
<link:definition>1049 - Disclosure - Stock  Compensation - Stock Based Compensation Expense (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/StockCompensationSummaryOfStockOptionsDetails" id="StockCompensationSummaryOfStockOptionsDetails">
<link:definition>1050 - Disclosure - Stock  Compensation -  Summary of Stock Options (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/StockCompensationSummaryOfInformationAboutStockOptionsOutstandingDetail" id="StockCompensationSummaryOfInformationAboutStockOptionsOutstandingDetail">
<link:definition>1051 - Disclosure - Stock Compensation - Summary of Information About Stock Options Outstanding (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/StockCompensationGrantDateFairValueOfOptionDetails" id="StockCompensationGrantDateFairValueOfOptionDetails">
<link:definition>1052 - Disclosure - Stock  Compensation - Grant Date Fair Value of Option (Details)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/RetirementPlanAdditionalInformationDetail" id="RetirementPlanAdditionalInformationDetail">
<link:definition>1053 - Disclosure - Retirement Plan - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/NetLossPerShareSummaryOfBasisInDilutedNetLossPerShareDetail" id="NetLossPerShareSummaryOfBasisInDilutedNetLossPerShareDetail">
<link:definition>1054 - Disclosure - Net Loss Per Share - Summary of Basis in Diluted Net Loss Per Share (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/NetLossPerShareSummaryOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareDetail" id="NetLossPerShareSummaryOfAntidilutiveSecuritiesExcludedFromComputationOfEarningsPerShareDetail">
<link:definition>1055 - Disclosure - Net Loss Per Share - Summary of Antidilutive Securities Excluded from Computation of Earnings Per Share (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:roleType roleURI="http://www.tempesttx.com/role/SubsequentEventsAdditionalInformationDetail" id="SubsequentEventsAdditionalInformationDetail">
<link:definition>1056 - Disclosure - Subsequent Events - Additional Information (Detail)</link:definition>
<link:usedOn>link:presentationLink</link:usedOn>
<link:usedOn>link:definitionLink</link:usedOn>
<link:usedOn>link:calculationLink</link:usedOn>
</link:roleType>
<link:linkbaseRef xlink:type="simple" xlink:href="tpst-20210630_pre.xml" xlink:role="http://www.xbrl.org/2003/role/presentationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
<link:linkbaseRef xlink:type="simple" xlink:href="tpst-20210630_def.xml" xlink:role="http://www.xbrl.org/2003/role/definitionLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
<link:linkbaseRef xlink:type="simple" xlink:href="tpst-20210630_lab.xml" xlink:role="http://www.xbrl.org/2003/role/labelLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
<link:linkbaseRef xlink:type="simple" xlink:href="tpst-20210630_cal.xml" xlink:role="http://www.xbrl.org/2003/role/calculationLinkbaseRef" xlink:arcrole="http://www.w3.org/1999/xlink/properties/linkbase" />
</appinfo>
</annotation>
<import namespace="http://www.xbrl.org/2003/instance" schemaLocation="http://www.xbrl.org/2003/xbrl-instance-2003-12-31.xsd" />
<import namespace="http://www.xbrl.org/2003/linkbase" schemaLocation="http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" />
<import namespace="http://xbrl.org/2005/xbrldt" schemaLocation="http://www.xbrl.org/2005/xbrldt-2005.xsd" />
<import namespace="http://fasb.org/us-gaap/2020-01-31" schemaLocation="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/country/2020-01-31" schemaLocation="https://xbrl.sec.gov/country/2020/country-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/currency/2020-01-31" schemaLocation="https://xbrl.sec.gov/currency/2020/currency-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/exch/2020-01-31" schemaLocation="https://xbrl.sec.gov/exch/2020/exch-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/naics/2017-01-31" schemaLocation="https://xbrl.sec.gov/naics/2017/naics-2017-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/sic/2020-01-31" schemaLocation="https://xbrl.sec.gov/sic/2020/sic-2020-01-31.xsd" />
<import namespace="http://xbrl.sec.gov/stpr/2018-01-31" schemaLocation="https://xbrl.sec.gov/stpr/2018/stpr-2018-01-31.xsd" />
<import namespace="http://www.xbrl.org/2009/role/negated" schemaLocation="http://www.xbrl.org/lrr/role/negated-2009-12-16.xsd" />
<import namespace="http://www.xbrl.org/2009/role/net" schemaLocation="http://www.xbrl.org/lrr/role/net-2009-12-16.xsd" />
<import namespace="http://www.xbrl.org/2009/arcrole/fact-explanatoryFact" schemaLocation="http://www.xbrl.org/lrr/arcrole/factExplanatory-2009-12-16.xsd" />
<import namespace="http://xbrl.sec.gov/dei/2020-01-31" schemaLocation="https://xbrl.sec.gov/dei/2020/dei-2020-01-31.xsd" />
<import namespace="http://www.xbrl.org/dtr/type/numeric" schemaLocation="http://www.xbrl.org/dtr/type/numeric-2009-12-16.xsd" />
<import namespace="http://www.xbrl.org/dtr/type/non-numeric" schemaLocation="http://www.xbrl.org/dtr/type/nonNumeric-2009-12-16.xsd" />
<import namespace="http://fasb.org/us-types/2020-01-31" schemaLocation="http://xbrl.fasb.org/us-gaap/2020/elts/us-types-2020-01-31.xsd" />
<import namespace="http://fasb.org/srt-types/2020-01-31" schemaLocation="http://xbrl.fasb.org/srt/2020/elts/srt-types-2020-01-31.xsd" />
<import namespace="http://fasb.org/srt/2020-01-31" schemaLocation="http://xbrl.fasb.org/srt/2020/elts/srt-2020-01-31.xsd" />
<element name="EarlyOptionExerciseLiability" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_EarlyOptionExerciseLiability" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="CommonStockSharesSubjectToRepurchaseShares" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_CommonStockSharesSubjectToRepurchaseShares" substitutionGroup="xbrli:item" />
<element name="VestingOfEarlyExercisedStockOptionsAndRestrictedStockShares" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_VestingOfEarlyExercisedStockOptionsAndRestrictedStockShares" substitutionGroup="xbrli:item" />
<element name="VestingOfEarlyExercisedStockOptionsAndRestrictedStock" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_VestingOfEarlyExercisedStockOptionsAndRestrictedStock" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="SeriesAConvertiblePreferredStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_SeriesAConvertiblePreferredStockMember" substitutionGroup="xbrli:item" />
<element name="SeriesBOneConvertiblePreferredStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_SeriesBOneConvertiblePreferredStockMember" substitutionGroup="xbrli:item" />
<element name="SeriesBConvertiblePreferredStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_SeriesBConvertiblePreferredStockMember" substitutionGroup="xbrli:item" />
<element name="StockIssuanceCosts" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_StockIssuanceCosts" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="IncreaseDecreaseInOperatingLeaseLiabilities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_IncreaseDecreaseInOperatingLeaseLiabilities" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="NoncashLeaseExpense" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_NoncashLeaseExpense" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="NoncashInterestIncome" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_NoncashInterestIncome" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="NonCashInterestAndOtherExpense" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_NonCashInterestAndOtherExpense" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="VestingOfEarlyExerciseStockOptions" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_VestingOfEarlyExerciseStockOptions" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="PaymentOfReverseRecapitalizationTransactionCosts" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_PaymentOfReverseRecapitalizationTransactionCosts" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="PaymentsOfMergerRelatedCostFinancingActivities" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_PaymentsOfMergerRelatedCostFinancingActivities" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="DisclosureOfEarlyOptionExerciseLiabilityAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_DisclosureOfEarlyOptionExerciseLiabilityAbstract" substitutionGroup="xbrli:item" />
<element name="DisclosureOfEarlyOptionExerciseLiabilityTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_DisclosureOfEarlyOptionExerciseLiabilityTextBlock" substitutionGroup="xbrli:item" />
<element name="ConvertiblePreferredStockTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_ConvertiblePreferredStockTextBlock" substitutionGroup="xbrli:item" />
<element name="CommonStockTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_CommonStockTextBlock" substitutionGroup="xbrli:item" />
<element name="UnauditedInterimFinancialStatementPolicyPolicyTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_UnauditedInterimFinancialStatementPolicyPolicyTextBlock" substitutionGroup="xbrli:item" />
<element name="ConvertiblePreferredStockPolicyTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_ConvertiblePreferredStockPolicyTextBlock" substitutionGroup="xbrli:item" />
<element name="PatentCostsPolicyTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_PatentCostsPolicyTextBlock" substitutionGroup="xbrli:item" />
<element name="ScheduleOfEstimatedUsefulLivesOfPropertyPlantAndEquipmentTableTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_ScheduleOfEstimatedUsefulLivesOfPropertyPlantAndEquipmentTableTextBlock" substitutionGroup="xbrli:item" />
<element name="ScheduleOfPrepaidExpensesAndOtherCurrentAssetTableTextBlock" type="nonnum:textBlockItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_ScheduleOfPrepaidExpensesAndOtherCurrentAssetTableTextBlock" substitutionGroup="xbrli:item" />
<element name="SharebasedPaymentArrangementLineItems" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_SharebasedPaymentArrangementLineItems" substitutionGroup="xbrli:item" />
<element name="ConversionOfPreferredStockIntoAShareOfCommonStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_ConversionOfPreferredStockIntoAShareOfCommonStockMember" substitutionGroup="xbrli:item" />
<element name="BusinessCombinationExchangeRatio" type="xbrli:pureItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_BusinessCombinationExchangeRatio" substitutionGroup="xbrli:item" />
<element name="StockholdersEquityNoteStockSplitExchangeRatio" type="xbrli:pureItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_StockholdersEquityNoteStockSplitExchangeRatio" substitutionGroup="xbrli:item" />
<element name="PrivateTempestMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_PrivateTempestMember" substitutionGroup="xbrli:item" />
<element name="EarlyExerciseOfEmployeeStockOptionsMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_EarlyExerciseOfEmployeeStockOptionsMember" substitutionGroup="xbrli:item" />
<element name="InceptionSciencesMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_InceptionSciencesMember" substitutionGroup="xbrli:item" />
<element name="TwoOfficersMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_TwoOfficersMember" substitutionGroup="xbrli:item" />
<element name="OtherOfficerMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_OtherOfficerMember" substitutionGroup="xbrli:item" />
<element name="PercentageOfPortionOfExerciseCostPaidByEmployees" type="num:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_PercentageOfPortionOfExerciseCostPaidByEmployees" substitutionGroup="xbrli:item" />
<element name="PercentageOfPortionOfExerciseCostConvertedInToNotesReceivable" type="num:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_PercentageOfPortionOfExerciseCostConvertedInToNotesReceivable" substitutionGroup="xbrli:item" />
<element name="NoteReceivableRelatedPartyVestedAccruedInterestRepayment" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_NoteReceivableRelatedPartyVestedAccruedInterestRepayment" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="NoteReceivableRelatedPartyForgiven" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_NoteReceivableRelatedPartyForgiven" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="NoteReceivableRelatedPartyVestedPortionRepayment" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_NoteReceivableRelatedPartyVestedPortionRepayment" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="PercentageOfCapitalStock" type="num:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_PercentageOfCapitalStock" substitutionGroup="xbrli:item" />
<element name="PrepaidResearchAndDevelopmentCostsCurrent" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_PrepaidResearchAndDevelopmentCostsCurrent" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="NotesAndInterestReceivableCurrent" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_NotesAndInterestReceivableCurrent" substitutionGroup="xbrli:item" xbrli:balance="debit" />
<element name="ResearchTaxCreditCurrent" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_ResearchTaxCreditCurrent" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="AccruedClinicalTrialLiability" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_AccruedClinicalTrialLiability" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="DisclosureOfBalanceSheetItemsAbstract" type="xbrli:stringItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_DisclosureOfBalanceSheetItemsAbstract" substitutionGroup="xbrli:item" />
<element name="NumberOfNonCancelableOperatingLeaseAgreements" type="xbrli:integerItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_NumberOfNonCancelableOperatingLeaseAgreements" substitutionGroup="xbrli:item" />
<element name="OperatingLeaseExpiryMonthYear" type="xbrli:gYearMonthItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_OperatingLeaseExpiryMonthYear" substitutionGroup="xbrli:item" />
<element name="OfficeSpaceLeaseTwoMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_OfficeSpaceLeaseTwoMember" substitutionGroup="xbrli:item" />
<element name="OfficeSpaceLeaseOneMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_OfficeSpaceLeaseOneMember" substitutionGroup="xbrli:item" />
<element name="SouthSanFranciscoCaliforniaMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_SouthSanFranciscoCaliforniaMember" substitutionGroup="xbrli:item" />
<element name="AnnArborMichiganMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_AnnArborMichiganMember" substitutionGroup="xbrli:item" />
<element name="ThersholdSeriesCEquityCapitalFunding" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_ThersholdSeriesCEquityCapitalFunding" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="ThersholdIndexRate" type="num:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_ThersholdIndexRate" substitutionGroup="xbrli:item" />
<element name="TranchATermLoanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_TranchATermLoanMember" substitutionGroup="xbrli:item" />
<element name="TranchBTermLoanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_TranchBTermLoanMember" substitutionGroup="xbrli:item" />
<element name="TermLoanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_TermLoanMember" substitutionGroup="xbrli:item" />
<element name="TranchCTermLoanMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_TranchCTermLoanMember" substitutionGroup="xbrli:item" />
<element name="StockPurchaseAgreementWithVentureInvestorMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_StockPurchaseAgreementWithVentureInvestorMember" substitutionGroup="xbrli:item" />
<element name="StockPurchaseAgreementWithVentureInvestorFirstTrancheMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_StockPurchaseAgreementWithVentureInvestorFirstTrancheMember" substitutionGroup="xbrli:item" />
<element name="StockPurchaseAgreementWithVentureInvestorSecondTrancheMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_StockPurchaseAgreementWithVentureInvestorSecondTrancheMember" substitutionGroup="xbrli:item" />
<element name="DividendsTemperoryStock" type="xbrli:monetaryItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_DividendsTemperoryStock" substitutionGroup="xbrli:item" xbrli:balance="credit" />
<element name="TemporaryEquityStockIssuedDuringPeriodSharesNewIssues" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_TemporaryEquityStockIssuedDuringPeriodSharesNewIssues" substitutionGroup="xbrli:item" />
<element name="CommonStockConversionRatio" type="num:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_CommonStockConversionRatio" substitutionGroup="xbrli:item" />
<element name="TemporaryEquitySharesNoncumulativeDividendRatePercentage" type="num:percentItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_TemporaryEquitySharesNoncumulativeDividendRatePercentage" substitutionGroup="xbrli:item" />
<element name="ConversionOfDebtToSeriesBConvertiblePreferredStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_ConversionOfDebtToSeriesBConvertiblePreferredStockMember" substitutionGroup="xbrli:item" />
<element name="PrivateTempestPreferredStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_PrivateTempestPreferredStockMember" substitutionGroup="xbrli:item" />
<element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrantGranted" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrantGranted" substitutionGroup="xbrli:item" />
<element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrantCancelledAndForfeited" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrantCancelledAndForfeited" substitutionGroup="xbrli:item" />
<element name="ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAssumedInReverseRecapitalizationInPeriod" type="xbrli:sharesItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsAssumedInReverseRecapitalizationInPeriod" substitutionGroup="xbrli:item" />
<element name="ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsassumedInReverseRecapitalizationInPeriodWeightedAverageExercisePrice" type="num:perShareItemType" abstract="false" xbrli:periodType="duration" nillable="true" id="tpst_ShareBasedCompensationArrangementsByShareBasedPaymentAwardOptionsassumedInReverseRecapitalizationInPeriodWeightedAverageExercisePrice" substitutionGroup="xbrli:item" />
<element name="UnvestedRestrictedCommonStockMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_UnvestedRestrictedCommonStockMember" substitutionGroup="xbrli:item" />
<element name="CommonStockWarrantsMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_CommonStockWarrantsMember" substitutionGroup="xbrli:item" />
<element name="SalesAgreementWithJefferiesLlcMember" type="nonnum:domainItemType" abstract="true" xbrli:periodType="duration" nillable="true" id="tpst_SalesAgreementWithJefferiesLlcMember" substitutionGroup="xbrli:item" />
<element name="PercentageOfAgentCompensationOnGrossProceedsFromSaleOfCommonStock" type="num:percentItemType" abstract="false" xbrli:periodType="instant" nillable="true" id="tpst_PercentageOfAgentCompensationOnGrossProceedsFromSaleOfCommonStock" substitutionGroup="xbrli:item" />
</schema>
