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  <xs:element id="frnm_RevenueRemainingPerformanceObligationRegulatoryMilestoneAmount" abstract="false" name="RevenueRemainingPerformanceObligationRegulatoryMilestoneAmount" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_RevenueRemainingPerformanceObligationDevelopmentPaymentAmount" abstract="false" name="RevenueRemainingPerformanceObligationDevelopmentPaymentAmount" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_RevenueRemainingPerformanceObligationDevelopmentPaymentsSatisfactionPeriod" abstract="false" name="RevenueRemainingPerformanceObligationDevelopmentPaymentsSatisfactionPeriod" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="frnm_RevenueRemainingPerformanceObligationVariableConsiderationAmount" abstract="false" name="RevenueRemainingPerformanceObligationVariableConsiderationAmount" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_ContractWithCustomerLiabilityRevenueRecognizedIncludingOpeningBalance" abstract="false" name="ContractWithCustomerLiabilityRevenueRecognizedIncludingOpeningBalance" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_ContractWithCustomerAssetLiabilityRollForward" abstract="true" name="ContractWithCustomerAssetLiabilityRollForward" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="frnm_ContractWithCustomerAssetLiability" abstract="false" name="ContractWithCustomerAssetLiability" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_ContractWithCustomerLiabilityAdditionsReimbursements" abstract="false" name="ContractWithCustomerLiabilityAdditionsReimbursements" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_ContractWithCustomerLiabilityAdditionsMilestones" abstract="false" name="ContractWithCustomerLiabilityAdditionsMilestones" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_ContractWithCustomerLiabilityAdditionsContractAsset" abstract="false" name="ContractWithCustomerLiabilityAdditionsContractAsset" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_DiagnosticAndResearchServicesMember" abstract="true" name="DiagnosticAndResearchServicesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_EarlyCDTLungRoyaltiesMember" abstract="true" name="EarlyCDTLungRoyaltiesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_EarlyCDTLungTestKitsMember" abstract="true" name="EarlyCDTLungTestKitsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_EarlyCDTLungTestPlatesMember" abstract="true" name="EarlyCDTLungTestPlatesMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheLicenseAndOptionAgreementAndRochePromissoryNoteAgreementMember" abstract="true" name="RocheLicenseAndOptionAgreementAndRochePromissoryNoteAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheLicenseAndOptionAgreementMember" abstract="true" name="RocheLicenseAndOptionAgreementMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheLicenseAndOptionAgreementResidualProceedsMember" abstract="true" name="RocheLicenseAndOptionAgreementResidualProceedsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheLicenseAndOptionAgreementFixedAndVariableConsiderationMember" abstract="true" name="RocheLicenseAndOptionAgreementFixedAndVariableConsiderationMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheLicenseAndOptionAgreementNoncashConsiderationMember" abstract="true" name="RocheLicenseAndOptionAgreementNoncashConsiderationMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheLicenseAndOptionAgreementSBXEvaluationMember" abstract="true" name="RocheLicenseAndOptionAgreementSBXEvaluationMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheLicenseAndOptionAgreementMaterialRightMember" abstract="true" name="RocheLicenseAndOptionAgreementMaterialRightMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheConvertibleNoteMember" abstract="true" name="RocheConvertibleNoteMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_MilestonePaymentOneMember" abstract="true" name="MilestonePaymentOneMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_MilestonePaymentTwoMember" abstract="true" name="MilestonePaymentTwoMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheHoldingsMember" abstract="true" name="RocheHoldingsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_ProceedsFromRelatedPartyTransaction" abstract="false" name="ProceedsFromRelatedPartyTransaction" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_CollaborativeArrangementEvaluationPeriod" abstract="false" name="CollaborativeArrangementEvaluationPeriod" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="frnm_CollaborativeArrangementOptionExerciseFee" abstract="false" name="CollaborativeArrangementOptionExerciseFee" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_CollaborativeArrangementOptionExerciseFeePaymentPeriod" abstract="false" name="CollaborativeArrangementOptionExerciseFeePaymentPeriod" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:durationItemType"/>
  <xs:element id="frnm_CollaborativeArrangementMilestonePaymentsReceivable" abstract="false" name="CollaborativeArrangementMilestonePaymentsReceivable" nillable="true" xbrli:periodType="instant" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_RevenueRemainingPerformanceObligationNumberOfPerformanceObligations" abstract="false" name="RevenueRemainingPerformanceObligationNumberOfPerformanceObligations" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="frnm_CouponInterestExpense" abstract="false" name="CouponInterestExpense" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_SeriesDPreferredMember" abstract="true" name="SeriesDPreferredMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_SeriesEPreferredMember" abstract="true" name="SeriesEPreferredMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_StockConvertedReverseRecapitalization" abstract="false" name="StockConvertedReverseRecapitalization" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="frnm_TemporaryEquitySharesIssuedUponConversion" abstract="false" name="TemporaryEquitySharesIssuedUponConversion" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="frnm_CommonStockVotingRightsVotesPerShare" abstract="false" name="CommonStockVotingRightsVotesPerShare" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="frnm_ScheduleOfReverseRecapitalizationTable" abstract="true" name="ScheduleOfReverseRecapitalizationTable" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrldt:hypercubeItem" type="xbrli:stringItemType"/>
  <xs:element id="frnm_PerceptiveCapitalSolutionsCorp.Member" abstract="true" name="PerceptiveCapitalSolutionsCorp.Member" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_CommonShareholdersMember" abstract="true" name="CommonShareholdersMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_SponsorMembersMember" abstract="true" name="SponsorMembersMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RocheConvertibleDebtMember" abstract="true" name="RocheConvertibleDebtMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_ReverseRecapitalizationLineItems" abstract="true" name="ReverseRecapitalizationLineItems" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="frnm_PaymentsOfReverseRecapitalizationTransactionCosts" abstract="false" name="PaymentsOfReverseRecapitalizationTransactionCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_ReverseRecapitalizationAccruedTransactionCostsAndPaymentsOfTransactionCosts" abstract="false" name="ReverseRecapitalizationAccruedTransactionCostsAndPaymentsOfTransactionCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_ReverseRecapitalizationAccruedTransactionCosts" abstract="false" name="ReverseRecapitalizationAccruedTransactionCosts" nillable="true" xbrli:periodType="duration" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_CommonStockSharesOutstandingLegacy" abstract="false" name="CommonStockSharesOutstandingLegacy" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="frnm_A2026EquityIncentivePlanMember" abstract="true" name="A2026EquityIncentivePlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_A2026EmployeeStockPurchasePlanMember" abstract="true" name="A2026EmployeeStockPurchasePlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_A2016EquityIncentivePlanMember" abstract="true" name="A2016EquityIncentivePlanMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_ShareBasedPaymentArrangementPlanModificationEstimatedIncrementalCostNotYetIncurred" abstract="false" name="ShareBasedPaymentArrangementPlanModificationEstimatedIncrementalCostNotYetIncurred" nillable="true" xbrli:periodType="duration" xbrli:balance="debit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_IncrementalCommonSharesAttributableToDilutiveEffectOfOptionsWarrantsAndRestrictedStockUnits" abstract="false" name="IncrementalCommonSharesAttributableToDilutiveEffectOfOptionsWarrantsAndRestrictedStockUnits" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:sharesItemType"/>
  <xs:element id="frnm_LesseeOperatingLeaseNumberOfBuildings" abstract="false" name="LesseeOperatingLeaseNumberOfBuildings" nillable="true" xbrli:periodType="instant" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="frnm_LesseeOperatingLeaseNumberOfRenewalOptions" abstract="false" name="LesseeOperatingLeaseNumberOfRenewalOptions" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:integerItemType"/>
  <xs:element id="frnm_CashFlowLesseeAbstract" abstract="true" name="CashFlowLesseeAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="frnm_WeightedAverageRemainingLeaseTermAbstract" abstract="true" name="WeightedAverageRemainingLeaseTermAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="frnm_LeasesWeightedAverageDiscountRateAbstract" abstract="true" name="LeasesWeightedAverageDiscountRateAbstract" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="xbrli:stringItemType"/>
  <xs:element id="frnm_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour" abstract="false" name="LesseeOperatingLeaseLiabilityToBePaidAfterYearFour" nillable="true" xbrli:periodType="instant" xbrli:balance="credit" substitutionGroup="xbrli:item" type="xbrli:monetaryItemType"/>
  <xs:element id="frnm_MaterialTransferAgreementsMember" abstract="true" name="MaterialTransferAgreementsMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_PIPEFinancingMember" abstract="true" name="PIPEFinancingMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_PerceptiveAdvisorsLLCMember" abstract="true" name="PerceptiveAdvisorsLLCMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_RACapitalMember" abstract="true" name="RACapitalMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
  <xs:element id="frnm_CustomerOneMember" abstract="true" name="CustomerOneMember" nillable="true" xbrli:periodType="duration" substitutionGroup="xbrli:item" type="dtr-types:domainItemType"/>
</xs:schema>
