<?xml version="1.0" encoding="us-ascii"?>
<!--XBRL document created with Toppan Merrill Bridge  9.6.7908.23199 -->
<!--Based on XBRL 2.1-->
<!--Created on: 11/10/2021 11:05:55 AM-->
<!--Modified on: 11/10/2021 11:05:55 AM-->
<linkbase xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.xbrl.org/2003/linkbase http://www.xbrl.org/2003/xbrl-linkbase-2003-12-31.xsd" xmlns="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink">
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#StatementConsolidatedBalanceSheets" roleURI="http://www.centurytx.com/role/StatementConsolidatedBalanceSheets" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#StatementCondensedStatementsOfOperationsAndComprehensiveLoss" roleURI="http://www.centurytx.com/role/StatementCondensedStatementsOfOperationsAndComprehensiveLoss" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#StatementCondensedStatementOfCashFlows" roleURI="http://www.centurytx.com/role/StatementCondensedStatementOfCashFlows" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentationRestrictedCashDetails" roleURI="http://www.centurytx.com/role/DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentationRestrictedCashDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureInitialCapitalizationAcquisitionsDetails" roleURI="http://www.centurytx.com/role/DisclosureInitialCapitalizationAcquisitionsDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureAssetPurchaseOfCenturyTherapeuticsCanadaUlcDetails" roleURI="http://www.centurytx.com/role/DisclosureAssetPurchaseOfCenturyTherapeuticsCanadaUlcDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureFinancialInstrumentsAndFairValueMeasurementsAssetsMeasuredAtFairValueDetails" roleURI="http://www.centurytx.com/role/DisclosureFinancialInstrumentsAndFairValueMeasurementsAssetsMeasuredAtFairValueDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureFinancialInstrumentsAndFairValueMeasurementsInvestmentsInFixedMaturitySecuritiesDetails" roleURI="http://www.centurytx.com/role/DisclosureFinancialInstrumentsAndFairValueMeasurementsInvestmentsInFixedMaturitySecuritiesDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureFinancialInstrumentsAndFairValueMeasurementsMaturitiesOfFixedMaturityAvailableForSaleSecuritiesDetails" roleURI="http://www.centurytx.com/role/DisclosureFinancialInstrumentsAndFairValueMeasurementsMaturitiesOfFixedMaturityAvailableForSaleSecuritiesDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosurePrepaidExpensesAndOtherCurrentAssetsSummaryOfPrepaidExpensesAndOtherCurrentAssetsDetails" roleURI="http://www.centurytx.com/role/DisclosurePrepaidExpensesAndOtherCurrentAssetsSummaryOfPrepaidExpensesAndOtherCurrentAssetsDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosurePropertyAndEquipmentNetDetails" roleURI="http://www.centurytx.com/role/DisclosurePropertyAndEquipmentNetDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureAccruedExpensesAndOtherLiabilitiesSummaryOfAccruedExpensesDetails" roleURI="http://www.centurytx.com/role/DisclosureAccruedExpensesAndOtherLiabilitiesSummaryOfAccruedExpensesDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureLongTermDebtDetails" roleURI="http://www.centurytx.com/role/DisclosureLongTermDebtDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureLongTermDebtInterestExpensesDetails" roleURI="http://www.centurytx.com/role/DisclosureLongTermDebtInterestExpensesDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureLongTermDebtFuturePrincipalPaymentsDueDetails" roleURI="http://www.centurytx.com/role/DisclosureLongTermDebtFuturePrincipalPaymentsDueDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureLeasesComponentsOfLeaseExpensesDetails" roleURI="http://www.centurytx.com/role/DisclosureLeasesComponentsOfLeaseExpensesDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureLeasesOtherInformationDetails" roleURI="http://www.centurytx.com/role/DisclosureLeasesOtherInformationDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureLeasesFutureMinimumLeasePaymentsDetails" roleURI="http://www.centurytx.com/role/DisclosureLeasesFutureMinimumLeasePaymentsDetails" />
  <roleRef xlink:type="simple" xlink:href="ipsc-20210930.xsd#DisclosureLeasesFutureMinimumLeasePaymentsDetailsCalc2" roleURI="http://www.centurytx.com/role/DisclosureLeasesFutureMinimumLeasePaymentsDetailsCalc2" />
  <calculationLink xlink:role="http://www.centurytx.com/role/StatementConsolidatedBalanceSheets" xlink:type="extended" xlink:title="00100 - Statement - CONSOLIDATED BALANCE SHEETS">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Assets" xlink:label="us-gaap_Assets" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DepositsAssetsNoncurrent" xlink:label="us-gaap_DepositsAssetsNoncurrent_637721391536359330" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Assets" xlink:to="us-gaap_DepositsAssetsNoncurrent_637721391536359330" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermInvestments" xlink:label="us-gaap_LongTermInvestments_637721391536359330" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Assets" xlink:to="us-gaap_LongTermInvestments_637721391536359330" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_EscrowDepositsNoncurrent" xlink:label="ipsc_EscrowDepositsNoncurrent_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Assets" xlink:to="ipsc_EscrowDepositsNoncurrent_637721391536369632" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RestrictedCashNoncurrent" xlink:label="us-gaap_RestrictedCashNoncurrent_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Assets" xlink:to="us-gaap_RestrictedCashNoncurrent_637721391536369632" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseRightOfUseAsset" xlink:label="us-gaap_OperatingLeaseRightOfUseAsset_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Assets" xlink:to="us-gaap_OperatingLeaseRightOfUseAsset_637721391536369632" order="5" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNet" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Assets" xlink:to="us-gaap_PropertyPlantAndEquipmentNet_637721391536369632" order="6" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsCurrent" xlink:label="us-gaap_AssetsCurrent_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Assets" xlink:to="us-gaap_AssetsCurrent_637721391536369632" order="7" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsCurrent_637721391536369632" xlink:to="us-gaap_PrepaidExpenseAndOtherAssetsCurrent_637721391536369632" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_EscrowDepositsCurrent" xlink:label="ipsc_EscrowDepositsCurrent_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsCurrent_637721391536369632" xlink:to="ipsc_EscrowDepositsCurrent_637721391536369632" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShortTermInvestments" xlink:label="us-gaap_ShortTermInvestments_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsCurrent_637721391536369632" xlink:to="us-gaap_ShortTermInvestments_637721391536369632" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_637721391536369632" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsCurrent_637721391536369632" xlink:to="us-gaap_CashAndCashEquivalentsAtCarryingValue_637721391536369632" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesAndStockholdersEquity" xlink:label="us-gaap_LiabilitiesAndStockholdersEquity" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Liabilities" xlink:label="us-gaap_Liabilities_637721391536379319" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="us-gaap_Liabilities_637721391536379319" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_DepositLiabilityNoncurrent" xlink:label="ipsc_DepositLiabilityNoncurrent_637721391536379319" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Liabilities_637721391536379319" xlink:to="ipsc_DepositLiabilityNoncurrent_637721391536379319" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtAndCapitalLeaseObligations" xlink:label="us-gaap_DebtAndCapitalLeaseObligations_637721391536379319" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Liabilities_637721391536379319" xlink:to="us-gaap_DebtAndCapitalLeaseObligations_637721391536379319" order="2" use="optional" weight="1" priority="3" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_637721391536379319" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Liabilities_637721391536379319" xlink:to="us-gaap_OperatingLeaseLiabilityNoncurrent_637721391536379319" order="3" use="optional" weight="1" priority="3" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesCurrent" xlink:label="us-gaap_LiabilitiesCurrent_637721391536379319" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_Liabilities_637721391536379319" xlink:to="us-gaap_LiabilitiesCurrent_637721391536379319" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccountsPayableCurrent" xlink:label="us-gaap_AccountsPayableCurrent_637721391536379319" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LiabilitiesCurrent_637721391536379319" xlink:to="us-gaap_AccountsPayableCurrent_637721391536379319" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_AccruedExpensesAndOtherLiabilitiesCurrent" xlink:label="ipsc_AccruedExpensesAndOtherLiabilitiesCurrent_637721391536389652" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LiabilitiesCurrent_637721391536379319" xlink:to="ipsc_AccruedExpensesAndOtherLiabilitiesCurrent_637721391536389652" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DepositLiabilityCurrent" xlink:label="us-gaap_DepositLiabilityCurrent_637721391536389652" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LiabilitiesCurrent_637721391536379319" xlink:to="us-gaap_DepositLiabilityCurrent_637721391536389652" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_StockholdersEquity" xlink:label="us-gaap_StockholdersEquity_637721391536389652" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="us-gaap_StockholdersEquity_637721391536389652" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PreferredStockValue" xlink:label="us-gaap_PreferredStockValue_637721391536389652" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_StockholdersEquity_637721391536389652" xlink:to="us-gaap_PreferredStockValue_637721391536389652" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax" xlink:label="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_637721391536389652" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_StockholdersEquity_637721391536389652" xlink:to="us-gaap_AccumulatedOtherComprehensiveIncomeLossNetOfTax_637721391536389652" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_CommonUnitsShareSubscribedButUnissuedSubscriptionsReceivable" xlink:label="ipsc_CommonUnitsShareSubscribedButUnissuedSubscriptionsReceivable_637721391536389652" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_StockholdersEquity_637721391536389652" xlink:to="ipsc_CommonUnitsShareSubscribedButUnissuedSubscriptionsReceivable_637721391536389652" order="3" use="optional" weight="1" priority="3" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CommonStockValue" xlink:label="us-gaap_CommonStockValue_637721391536399494" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_StockholdersEquity_637721391536389652" xlink:to="us-gaap_CommonStockValue_637721391536399494" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AdditionalPaidInCapitalCommonStock" xlink:label="us-gaap_AdditionalPaidInCapitalCommonStock_637721391536399494" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_StockholdersEquity_637721391536389652" xlink:to="us-gaap_AdditionalPaidInCapitalCommonStock_637721391536399494" order="5" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RetainedEarningsAccumulatedDeficit" xlink:label="us-gaap_RetainedEarningsAccumulatedDeficit_637721391536399494" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_StockholdersEquity_637721391536389652" xlink:to="us-gaap_RetainedEarningsAccumulatedDeficit_637721391536399494" order="6" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_TemporaryEquityCarryingAmountAttributableToParent" xlink:label="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_637721391536399494" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LiabilitiesAndStockholdersEquity" xlink:to="us-gaap_TemporaryEquityCarryingAmountAttributableToParent_637721391536399494" order="3" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/StatementCondensedStatementsOfOperationsAndComprehensiveLoss" xlink:type="extended" xlink:title="00200 - Statement - CONDENSED STATEMENTS OF OPERATIONS AND COMPREHENSIVE LOSS">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ComprehensiveIncomeNetOfTax" xlink:label="us-gaap_ComprehensiveIncomeNetOfTax" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent" xlink:label="us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_ComprehensiveIncomeNetOfTax" xlink:to="us-gaap_OtherComprehensiveIncomeForeignCurrencyTransactionAndTranslationAdjustmentNetOfTaxPortionAttributableToParent_637721391536409636" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax" xlink:label="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_ComprehensiveIncomeNetOfTax" xlink:to="us-gaap_OtherComprehensiveIncomeLossAvailableForSaleSecuritiesAdjustmentBeforeTax_637721391536409636" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetIncomeLoss" xlink:label="us-gaap_NetIncomeLoss_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_ComprehensiveIncomeNetOfTax" xlink:to="us-gaap_NetIncomeLoss_637721391536409636" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherNonoperatingIncomeExpense" xlink:label="us-gaap_OtherNonoperatingIncomeExpense_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetIncomeLoss_637721391536409636" xlink:to="us-gaap_OtherNonoperatingIncomeExpense_637721391536409636" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestExpense" xlink:label="us-gaap_InterestExpense_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetIncomeLoss_637721391536409636" xlink:to="us-gaap_InterestExpense_637721391536409636" order="2" use="optional" weight="-1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingIncomeLoss" xlink:label="us-gaap_OperatingIncomeLoss_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetIncomeLoss_637721391536409636" xlink:to="us-gaap_OperatingIncomeLoss_637721391536409636" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingExpenses" xlink:label="us-gaap_OperatingExpenses_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_OperatingIncomeLoss_637721391536409636" xlink:to="us-gaap_OperatingExpenses_637721391536409636" order="1" use="optional" weight="-1" priority="3" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_GeneralAndAdministrativeExpense" xlink:label="us-gaap_GeneralAndAdministrativeExpense_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_OperatingExpenses_637721391536409636" xlink:to="us-gaap_GeneralAndAdministrativeExpense_637721391536409636" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ResearchAndDevelopmentExpense" xlink:label="us-gaap_ResearchAndDevelopmentExpense_637721391536409636" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_OperatingExpenses_637721391536409636" xlink:to="us-gaap_ResearchAndDevelopmentExpense_637721391536409636" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_WriteOffOfInProcessResearchAndDevelopmentAsset" xlink:label="ipsc_WriteOffOfInProcessResearchAndDevelopmentAsset_637721391536419318" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_OperatingExpenses_637721391536409636" xlink:to="ipsc_WriteOffOfInProcessResearchAndDevelopmentAsset_637721391536419318" order="3" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/StatementCondensedStatementOfCashFlows" xlink:type="extended" xlink:title="00400 - Statement - CONDENSED STATEMENT OF CASH FLOWS">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAndCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:label="us-gaap_CashAndCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities" xlink:label="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_CashAndCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:to="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_WriteOffOfInProcessResearchAndDevelopmentAsset" xlink:label="ipsc_WriteOffOfInProcessResearchAndDevelopmentAsset_637721391536419318" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="ipsc_WriteOffOfInProcessResearchAndDevelopmentAsset_637721391536419318" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_IncreaseDecreaseInEscrowDeposit" xlink:label="ipsc_IncreaseDecreaseInEscrowDeposit_637721391536419318" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="ipsc_IncreaseDecreaseInEscrowDeposit_637721391536419318" order="2" use="optional" weight="-1" priority="3" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets" xlink:label="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_637721391536419318" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_637721391536419318" order="3" use="optional" weight="-1" priority="3" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_IncreaseDecreaseInOperatingLeaseLiability" xlink:label="ipsc_IncreaseDecreaseInOperatingLeaseLiability_637721391536419318" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="ipsc_IncreaseDecreaseInOperatingLeaseLiability_637721391536419318" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInAccountsPayable" xlink:label="us-gaap_IncreaseDecreaseInAccountsPayable_637721391536419318" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="us-gaap_IncreaseDecreaseInAccountsPayable_637721391536419318" order="5" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities" xlink:label="us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_637721391536419318" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_637721391536419318" order="6" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfFinancingCosts" xlink:label="us-gaap_AmortizationOfFinancingCosts_637721391536429606" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="us-gaap_AmortizationOfFinancingCosts_637721391536429606" order="7" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_NonCashOperatingLeaseExpense" xlink:label="ipsc_NonCashOperatingLeaseExpense_637721391536429606" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="ipsc_NonCashOperatingLeaseExpense_637721391536429606" order="8" use="optional" weight="1" priority="1" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_Depreciation" xlink:label="us-gaap_Depreciation_637721391536429606" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="us-gaap_Depreciation_637721391536429606" order="9" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShareBasedCompensation" xlink:label="us-gaap_ShareBasedCompensation_637721391536429606" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="us-gaap_ShareBasedCompensation_637721391536429606" order="10" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProfitLoss" xlink:label="us-gaap_ProfitLoss_637721391536429606" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInOperatingActivities_637721391536419318" xlink:to="us-gaap_ProfitLoss_637721391536429606" order="11" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities" xlink:label="us-gaap_NetCashProvidedByUsedInInvestingActivities_637721391536429606" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_CashAndCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:to="us-gaap_NetCashProvidedByUsedInInvestingActivities_637721391536429606" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt" xlink:label="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_637721391536429606" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivities_637721391536429606" xlink:to="us-gaap_ProceedsFromSaleOfAvailableForSaleSecuritiesDebt_637721391536429606" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_PaymentsToAcquireAssetsNetOfCashAcquired" xlink:label="ipsc_PaymentsToAcquireAssetsNetOfCashAcquired_637721391536429606" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivities_637721391536429606" xlink:to="ipsc_PaymentsToAcquireAssetsNetOfCashAcquired_637721391536429606" order="2" use="optional" weight="-1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment" xlink:label="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_637721391536439316" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivities_637721391536429606" xlink:to="us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_637721391536439316" order="3" use="optional" weight="-1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt" xlink:label="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_637721391536439316" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInInvestingActivities_637721391536429606" xlink:to="us-gaap_PaymentsToAcquireAvailableForSaleSecuritiesDebt_637721391536439316" order="4" use="optional" weight="-1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities" xlink:label="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_CashAndCashEquivalentsPeriodIncreaseDecreaseExcludingExchangeRateEffect" xlink:to="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceInitialPublicOffering" xlink:label="us-gaap_ProceedsFromIssuanceInitialPublicOffering_637721391536439316" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" xlink:to="us-gaap_ProceedsFromIssuanceInitialPublicOffering_637721391536439316" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_ProceedsFromIssuanceOfLongTermDebtAndWarrantsNet" xlink:label="ipsc_ProceedsFromIssuanceOfLongTermDebtAndWarrantsNet_637721391536439316" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" xlink:to="ipsc_ProceedsFromIssuanceOfLongTermDebtAndWarrantsNet_637721391536439316" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_ProceedsFromSubscriptionReceivable" xlink:label="ipsc_ProceedsFromSubscriptionReceivable_637721391536439316" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" xlink:to="ipsc_ProceedsFromSubscriptionReceivable_637721391536439316" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PaymentsOfFinancingCosts" xlink:label="us-gaap_PaymentsOfFinancingCosts_637721391536439316" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" xlink:to="us-gaap_PaymentsOfFinancingCosts_637721391536439316" order="4" use="optional" weight="-1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock" xlink:label="us-gaap_ProceedsFromIssuanceOfCommonStock_637721391536449627" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" xlink:to="us-gaap_ProceedsFromIssuanceOfCommonStock_637721391536449627" order="5" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock" xlink:label="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_637721391536449627" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" xlink:to="us-gaap_ProceedsFromIssuanceOfRedeemableConvertiblePreferredStock_637721391536449627" order="6" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ProceedsFromStockOptionsExercised" xlink:label="us-gaap_ProceedsFromStockOptionsExercised_637721391536449627" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" xlink:to="us-gaap_ProceedsFromStockOptionsExercised_637721391536449627" order="7" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_CashContributedResultingFromMerger" xlink:label="ipsc_CashContributedResultingFromMerger_637721391536449627" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_NetCashProvidedByUsedInFinancingActivities_637721391536439316" xlink:to="ipsc_CashContributedResultingFromMerger_637721391536449627" order="8" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureSummaryOfSignificantAccountingPoliciesAndBasisOfPresentationRestrictedCashDetails" xlink:type="extended" xlink:title="40202 - Disclosure - Summary of significant accounting policies and basis of presentation - Restricted cash (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:label="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_RestrictedCashAndCashEquivalents" xlink:label="us-gaap_RestrictedCashAndCashEquivalents_637721391536449627" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:to="us-gaap_RestrictedCashAndCashEquivalents_637721391536449627" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_637721391536449627" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalents" xlink:to="us-gaap_CashAndCashEquivalentsAtCarryingValue_637721391536449627" order="2" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureInitialCapitalizationAcquisitionsDetails" xlink:type="extended" xlink:title="40302 - Disclosure - Initial capitalization - Acquisitions (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsNet" xlink:label="us-gaap_AssetsNet_637619731805636210" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LiabilitiesCurrent" xlink:label="us-gaap_LiabilitiesCurrent_637721391536459315" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsNet_637619731805636210" xlink:to="us-gaap_LiabilitiesCurrent_637721391536459315" order="1" use="optional" weight="-1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherAssetsNoncurrent" xlink:label="us-gaap_OtherAssetsNoncurrent_637721391536459315" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsNet_637619731805636210" xlink:to="us-gaap_OtherAssetsNoncurrent_637721391536459315" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherAssetsCurrent" xlink:label="us-gaap_OtherAssetsCurrent_637721391536459315" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsNet_637619731805636210" xlink:to="us-gaap_OtherAssetsCurrent_637721391536459315" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNet" xlink:label="us-gaap_PropertyPlantAndEquipmentNet_637721391536459315" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsNet_637619731805636210" xlink:to="us-gaap_PropertyPlantAndEquipmentNet_637721391536459315" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_IntangibleAssetsNetIncludingGoodwill" xlink:label="us-gaap_IntangibleAssetsNetIncludingGoodwill_637721391536459315" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsNet_637619731805636210" xlink:to="us-gaap_IntangibleAssetsNetIncludingGoodwill_637721391536459315" order="5" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue" xlink:label="us-gaap_CashAndCashEquivalentsAtCarryingValue_637721391536459315" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsNet_637619731805636210" xlink:to="us-gaap_CashAndCashEquivalentsAtCarryingValue_637721391536459315" order="6" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureAssetPurchaseOfCenturyTherapeuticsCanadaUlcDetails" xlink:type="extended" xlink:title="40401 - Disclosure - Asset purchase of Century Therapeutics Canada ULC (Details)">
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_TotalCostAssetAcquisition" xlink:label="ipsc_TotalCostAssetAcquisition" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_AssetAcquisitionTransactionCostOfAcquisition" xlink:label="ipsc_AssetAcquisitionTransactionCostOfAcquisition_637721391536469597" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="ipsc_TotalCostAssetAcquisition" xlink:to="ipsc_AssetAcquisitionTransactionCostOfAcquisition_637721391536469597" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_AssetAcquisitionConsiderationTransferredCash" xlink:label="ipsc_AssetAcquisitionConsiderationTransferredCash_637721391536469597" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="ipsc_TotalCostAssetAcquisition" xlink:to="ipsc_AssetAcquisitionConsiderationTransferredCash_637721391536469597" order="2" use="optional" weight="1" priority="3" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_AssetAcquisitionConsiderationTransferredTransactionCost" xlink:label="ipsc_AssetAcquisitionConsiderationTransferredTransactionCost_637721391536469597" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="ipsc_TotalCostAssetAcquisition" xlink:to="ipsc_AssetAcquisitionConsiderationTransferredTransactionCost_637721391536469597" order="3" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureFinancialInstrumentsAndFairValueMeasurementsAssetsMeasuredAtFairValueDetails" xlink:type="extended" xlink:title="40501 - Disclosure - Financial instruments and fair value measurements - Assets measured at fair value (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AssetsFairValueDisclosure" xlink:label="us-gaap_AssetsFairValueDisclosure" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_CashAndCashEquivalentsFairValueDisclosure" xlink:label="us-gaap_CashAndCashEquivalentsFairValueDisclosure_637721391536469597" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsFairValueDisclosure" xlink:to="us-gaap_CashAndCashEquivalentsFairValueDisclosure_637721391536469597" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_637721391536469597" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AssetsFairValueDisclosure" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities_637721391536469597" order="2" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureFinancialInstrumentsAndFairValueMeasurementsInvestmentsInFixedMaturitySecuritiesDetails" xlink:type="extended" xlink:title="40503 - Disclosure - Financial instruments and fair value measurements - Investments in fixed maturity securities (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities_637721391536469597" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtSecurities_637721391536469597" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_637721391536469597" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedGainBeforeTax_637721391536469597" order="2" use="optional" weight="-1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax" xlink:label="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_637721391536479315" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AvailableForSaleDebtSecuritiesAmortizedCostBasis" xlink:to="us-gaap_AvailableForSaleDebtSecuritiesAccumulatedGrossUnrealizedLossBeforeTax_637721391536479315" order="3" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureFinancialInstrumentsAndFairValueMeasurementsMaturitiesOfFixedMaturityAvailableForSaleSecuritiesDetails" xlink:type="extended" xlink:title="40504 - Disclosure - Financial instruments and fair value measurements - Maturities of fixed maturity available-for-sale securities (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtSecurities" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_637721391536609856" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesAfterOneThroughFiveYearsFairValue_637721391536609856" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue" xlink:label="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_637721391536609856" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AvailableForSaleSecuritiesDebtSecurities" xlink:to="us-gaap_AvailableForSaleSecuritiesDebtMaturitiesWithinOneYearFairValue_637721391536609856" order="2" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosurePrepaidExpensesAndOtherCurrentAssetsSummaryOfPrepaidExpensesAndOtherCurrentAssetsDetails" xlink:type="extended" xlink:title="40601 - Disclosure - Prepaid expenses and other current assets - Summary of prepaid expenses and other current assets (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:label="us-gaap_PrepaidExpenseAndOtherAssetsCurrent" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_PrepaidMiscellaneousReceivables" xlink:label="ipsc_PrepaidMiscellaneousReceivables_637721391536609856" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:to="ipsc_PrepaidMiscellaneousReceivables_637721391536609856" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherAssetsCurrent" xlink:label="us-gaap_OtherAssetsCurrent_637721391536619360" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:to="us-gaap_OtherAssetsCurrent_637721391536619360" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_PrepaidResearchAndDevelopment" xlink:label="ipsc_PrepaidResearchAndDevelopment_637721391536619360" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:to="ipsc_PrepaidResearchAndDevelopment_637721391536619360" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_PrepaidWarranties" xlink:label="ipsc_PrepaidWarranties_637721391536619360" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:to="ipsc_PrepaidWarranties_637721391536619360" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_PrepaidSoftwareLicensesAndOther" xlink:label="ipsc_PrepaidSoftwareLicensesAndOther_637721391536619360" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:to="ipsc_PrepaidSoftwareLicensesAndOther_637721391536619360" order="5" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PrepaidInsurance" xlink:label="us-gaap_PrepaidInsurance_637721391536619360" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_PrepaidExpenseAndOtherAssetsCurrent" xlink:to="us-gaap_PrepaidInsurance_637721391536619360" order="6" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosurePropertyAndEquipmentNetDetails" xlink:type="extended" xlink:title="40701 - Disclosure - Property and equipment, net (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentNet" xlink:label="us-gaap_PropertyPlantAndEquipmentNet" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_PropertyPlantAndEquipmentGross" xlink:label="us-gaap_PropertyPlantAndEquipmentGross_637721391536619360" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_PropertyPlantAndEquipmentNet" xlink:to="us-gaap_PropertyPlantAndEquipmentGross_637721391536619360" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment" xlink:label="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_637721391536619360" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_PropertyPlantAndEquipmentNet" xlink:to="us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_637721391536619360" order="2" use="optional" weight="-1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureAccruedExpensesAndOtherLiabilitiesSummaryOfAccruedExpensesDetails" xlink:type="extended" xlink:title="40801 - Disclosure - Accrued expenses and other liabilities - Summary of accrued expenses (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:label="us-gaap_AccruedLiabilitiesAndOtherLiabilities" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AccruedProfessionalFeesCurrent" xlink:label="us-gaap_AccruedProfessionalFeesCurrent_637721391536629274" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="us-gaap_AccruedProfessionalFeesCurrent_637721391536629274" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_EmployeeRelatedLiabilitiesCurrent" xlink:label="us-gaap_EmployeeRelatedLiabilitiesCurrent_637721391536629274" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="us-gaap_EmployeeRelatedLiabilitiesCurrent_637721391536629274" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestPayableCurrent" xlink:label="us-gaap_InterestPayableCurrent_637721391536629274" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="us-gaap_InterestPayableCurrent_637721391536629274" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityCurrent" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_637721391536629274" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="us-gaap_OperatingLeaseLiabilityCurrent_637721391536629274" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OtherLiabilities" xlink:label="us-gaap_OtherLiabilities_637721391536629274" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_AccruedLiabilitiesAndOtherLiabilities" xlink:to="us-gaap_OtherLiabilities_637721391536629274" order="5" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureLongTermDebtDetails" xlink:type="extended" xlink:title="40901 - Disclosure - Long-term debt (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtAndCapitalLeaseObligations" xlink:label="us-gaap_DebtAndCapitalLeaseObligations" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DeferredFinanceCostsNet" xlink:label="us-gaap_DeferredFinanceCostsNet_637721391536629274" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_DebtAndCapitalLeaseObligations" xlink:to="us-gaap_DeferredFinanceCostsNet_637721391536629274" order="1" use="optional" weight="-1" priority="3" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet" xlink:label="us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet_637721391536629274" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_DebtAndCapitalLeaseObligations" xlink:to="us-gaap_DebtInstrumentUnamortizedDiscountPremiumNet_637721391536629274" order="2" use="optional" weight="-1" priority="3" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_DebtInstrumentCarryingAmount" xlink:label="us-gaap_DebtInstrumentCarryingAmount_637721391536629274" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_DebtAndCapitalLeaseObligations" xlink:to="us-gaap_DebtInstrumentCarryingAmount_637721391536629274" order="3" use="optional" weight="1" priority="3" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureLongTermDebtInterestExpensesDetails" xlink:type="extended" xlink:title="40903 - Disclosure - Long-term debt - Interest Expenses (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestExpense" xlink:label="us-gaap_InterestExpense" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_InterestExpenseDebt" xlink:label="us-gaap_InterestExpenseDebt_637721391536639267" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_InterestExpense" xlink:to="us-gaap_InterestExpenseDebt_637721391536639267" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_AmortizationOfFinancingCosts" xlink:label="us-gaap_AmortizationOfFinancingCosts_637721391536639267" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_InterestExpense" xlink:to="us-gaap_AmortizationOfFinancingCosts_637721391536639267" order="2" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureLongTermDebtFuturePrincipalPaymentsDueDetails" xlink:type="extended" xlink:title="40904 - Disclosure - Long-term debt - Future principal payments due (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebt" xlink:label="us-gaap_LongTermDebt" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_637721391536639267" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LongTermDebt" xlink:to="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearTwo_637721391536639267" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_637721391536639267" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LongTermDebt" xlink:to="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearThree_637721391536639267" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour" xlink:label="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour_637721391536639267" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LongTermDebt" xlink:to="us-gaap_LongTermDebtMaturitiesRepaymentsOfPrincipalInYearFour_637721391536639267" order="3" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureLeasesComponentsOfLeaseExpensesDetails" xlink:type="extended" xlink:title="41201 - Disclosure - Leases - Components of lease expenses (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LeaseCost" xlink:label="us-gaap_LeaseCost" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_ShortTermLeaseCost" xlink:label="us-gaap_ShortTermLeaseCost_637721391536639267" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LeaseCost" xlink:to="us-gaap_ShortTermLeaseCost_637721391536639267" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseCost" xlink:label="us-gaap_OperatingLeaseCost_637721391536649269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LeaseCost" xlink:to="us-gaap_OperatingLeaseCost_637721391536649269" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_VariableLeaseCost" xlink:label="us-gaap_VariableLeaseCost_637721391536649269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LeaseCost" xlink:to="us-gaap_VariableLeaseCost_637721391536649269" order="3" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureLeasesOtherInformationDetails" xlink:type="extended" xlink:title="41202 - Disclosure - Leases - Other information (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiability" xlink:label="us-gaap_OperatingLeaseLiability" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityCurrent" xlink:label="us-gaap_OperatingLeaseLiabilityCurrent_637721391536649269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_OperatingLeaseLiability" xlink:to="us-gaap_OperatingLeaseLiabilityCurrent_637721391536649269" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent" xlink:label="us-gaap_OperatingLeaseLiabilityNoncurrent_637721391536649269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_OperatingLeaseLiability" xlink:to="us-gaap_OperatingLeaseLiabilityNoncurrent_637721391536649269" order="2" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureLeasesFutureMinimumLeasePaymentsDetails" xlink:type="extended" xlink:title="41205 - Disclosure - Leases - Future minimum lease payments (Details)">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour" xlink:label="ipsc_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour_637721391536649269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="ipsc_LesseeOperatingLeaseLiabilityToBePaidAfterYearFour_637721391536649269" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_637721391536649269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsRemainderOfFiscalYear_637721391536649269" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_637721391536649269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_637721391536649269" order="3" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_637721391536649269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_637721391536649269" order="4" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_637721391536659269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_637721391536659269" order="5" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_637721391536659269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_637721391536659269" order="6" use="optional" weight="1" priority="2" />
  </calculationLink>
  <calculationLink xlink:role="http://www.centurytx.com/role/DisclosureLeasesFutureMinimumLeasePaymentsDetailsCalc2" xlink:type="extended" xlink:title="41205 - Disclosure - Leases - Future minimum lease payments (Details) - calc 2">
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount" xlink:label="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_637721391536659269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_637721391536659269" order="1" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="http://xbrl.fasb.org/us-gaap/2020/elts/us-gaap-2020-01-31.xsd#us-gaap_OperatingLeaseLiability" xlink:label="us-gaap_OperatingLeaseLiability_637721391536659269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="us-gaap_OperatingLeaseLiability_637721391536659269" order="2" use="optional" weight="1" priority="2" />
    <loc xlink:type="locator" xlink:href="ipsc-20210930.xsd#ipsc_LesseeTenantIncentiveReceivable" xlink:label="ipsc_LesseeTenantIncentiveReceivable_637721391536659269" />
    <calculationArc xlink:type="arc" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue" xlink:to="ipsc_LesseeTenantIncentiveReceivable_637721391536659269" order="3" use="optional" weight="1" priority="2" />
  </calculationLink>
</linkbase>
