<?xml version="1.0" encoding="UTF-8"?>

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2025 Workiva-->
<!--r:58a29cd4-929e-4c37-a8b2-5b2c59ef7458,g:3c79c2c9-df30-4297-8f50-d78fdc2ea69a-->
<link:linkbase xmlns:link="http://www.xbrl.org/2003/linkbase" xmlns:xlink="http://www.w3.org/1999/xlink" 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">
  <link:roleRef roleURI="http://www.barinthusbio.com/role/CONSOLIDATEDBALANCESHEETS" xlink:type="simple" xlink:href="brns-20241231.xsd#CONSOLIDATEDBALANCESHEETS"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/CONSOLIDATEDBALANCESHEETS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_121acbba-56b8-4fa6-a7ba-854b85433546" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_0a092384-1951-4333-b8d4-8daa3cd8add4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CashAndCashEquivalentsAtCarryingValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_121acbba-56b8-4fa6-a7ba-854b85433546" xlink:to="loc_us-gaap_CashAndCashEquivalentsAtCarryingValue_0a092384-1951-4333-b8d4-8daa3cd8add4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RestrictedCashCurrent_20c91bf8-aa63-4cb2-90ac-9f519b222bf6" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_RestrictedCashCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_121acbba-56b8-4fa6-a7ba-854b85433546" xlink:to="loc_us-gaap_RestrictedCashCurrent_20c91bf8-aa63-4cb2-90ac-9f519b222bf6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_ResearchAndDevelopmentIncentivesReceivable_663faa56-0b3c-43e8-95b4-11bc59db53f0" xlink:href="brns-20241231.xsd#brns_ResearchAndDevelopmentIncentivesReceivable"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_121acbba-56b8-4fa6-a7ba-854b85433546" xlink:to="loc_brns_ResearchAndDevelopmentIncentivesReceivable_663faa56-0b3c-43e8-95b4-11bc59db53f0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_af78c2b0-a2d4-46e5-a81c-cf071a056ded" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_AssetsCurrent_121acbba-56b8-4fa6-a7ba-854b85433546" xlink:to="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_af78c2b0-a2d4-46e5-a81c-cf071a056ded" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesAndStockholdersEquity_f928f6ab-ef4f-47d7-81ec-e3935ececd18" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LiabilitiesAndStockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_da4d6bf4-9ea4-4925-ad30-df1a8699474c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_Liabilities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_f928f6ab-ef4f-47d7-81ec-e3935ececd18" xlink:to="loc_us-gaap_Liabilities_da4d6bf4-9ea4-4925-ad30-df1a8699474c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommitmentsAndContingencies_26b6a9cd-fbe4-4a87-aed4-2f0e38c11e25" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CommitmentsAndContingencies"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_f928f6ab-ef4f-47d7-81ec-e3935ececd18" xlink:to="loc_us-gaap_CommitmentsAndContingencies_26b6a9cd-fbe4-4a87-aed4-2f0e38c11e25" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_d6944b32-672a-4216-a17d-d8a5da19d50a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesAndStockholdersEquity_f928f6ab-ef4f-47d7-81ec-e3935ececd18" xlink:to="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_d6944b32-672a-4216-a17d-d8a5da19d50a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_6e905796-b97d-4c6d-8b5d-4cb5aa1cf8e1" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccountsPayableCurrent_320a9bac-70b3-428e-88fe-3530c76fd0b4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccountsPayableCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_6e905796-b97d-4c6d-8b5d-4cb5aa1cf8e1" xlink:to="loc_us-gaap_AccountsPayableCurrent_320a9bac-70b3-428e-88fe-3530c76fd0b4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeCurrent_487bcac3-0da8-4635-9f24-306785e855a0" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredIncomeCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_6e905796-b97d-4c6d-8b5d-4cb5aa1cf8e1" xlink:to="loc_us-gaap_DeferredIncomeCurrent_487bcac3-0da8-4635-9f24-306785e855a0" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_5dfe3830-a688-4604-a836-974400285fd7" xlink:href="brns-20241231.xsd#brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_6e905796-b97d-4c6d-8b5d-4cb5aa1cf8e1" xlink:to="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_5dfe3830-a688-4604-a836-974400285fd7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityCurrent_e1eec0dc-8183-4a47-ac67-3deafd737eb9" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingLeaseLiabilityCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LiabilitiesCurrent_6e905796-b97d-4c6d-8b5d-4cb5aa1cf8e1" xlink:to="loc_us-gaap_OperatingLeaseLiabilityCurrent_e1eec0dc-8183-4a47-ac67-3deafd737eb9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Liabilities_7f71456c-1add-43c1-af15-2a40b681cf76" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_Liabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LiabilitiesCurrent_f961f5c9-cca6-4b9d-8abd-3cd34b9e3d91" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LiabilitiesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7f71456c-1add-43c1-af15-2a40b681cf76" xlink:to="loc_us-gaap_LiabilitiesCurrent_f961f5c9-cca6-4b9d-8abd-3cd34b9e3d91" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_3acd98bc-2d97-4e4f-bf26-ab6db3f70188" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingLeaseLiabilityNoncurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7f71456c-1add-43c1-af15-2a40b681cf76" xlink:to="loc_us-gaap_OperatingLeaseLiabilityNoncurrent_3acd98bc-2d97-4e4f-bf26-ab6db3f70188" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_d86c9e6f-9b0d-4304-b76c-b6d6816c7d23" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7f71456c-1add-43c1-af15-2a40b681cf76" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationLiabilityNoncurrent_d86c9e6f-9b0d-4304-b76c-b6d6816c7d23" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherLiabilitiesNoncurrent_099ea40f-2951-4678-b271-4ed26efbc75a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherLiabilitiesNoncurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7f71456c-1add-43c1-af15-2a40b681cf76" xlink:to="loc_us-gaap_OtherLiabilitiesNoncurrent_099ea40f-2951-4678-b271-4ed26efbc75a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_58d04ab6-312a-4a53-83a6-e1bf3a1b56b9" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Liabilities_7f71456c-1add-43c1-af15-2a40b681cf76" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_58d04ab6-312a-4a53-83a6-e1bf3a1b56b9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_3d6469c8-ac26-4eaa-ba6f-0fb7b9f02142" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_StockholdersEquity"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockValue_391dfbf8-a3e8-4fce-aa97-43e93645cf79" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CommonStockValue"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3d6469c8-ac26-4eaa-ba6f-0fb7b9f02142" xlink:to="loc_us-gaap_CommonStockValue_391dfbf8-a3e8-4fce-aa97-43e93645cf79" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_DeferredStockValueIssued_ff5cbf8f-15b3-48c0-9f6c-d8a399133f96" xlink:href="brns-20241231.xsd#brns_DeferredStockValueIssued"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3d6469c8-ac26-4eaa-ba6f-0fb7b9f02142" xlink:to="loc_brns_DeferredStockValueIssued_ff5cbf8f-15b3-48c0-9f6c-d8a399133f96" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AdditionalPaidInCapital_63d610b0-8b6e-489f-82ea-848ba0b74bd7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AdditionalPaidInCapital"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3d6469c8-ac26-4eaa-ba6f-0fb7b9f02142" xlink:to="loc_us-gaap_AdditionalPaidInCapital_63d610b0-8b6e-489f-82ea-848ba0b74bd7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RetainedEarningsAccumulatedDeficit_21ddfef6-92be-4ac4-be5a-f6887ddf4bf8" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_RetainedEarningsAccumulatedDeficit"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3d6469c8-ac26-4eaa-ba6f-0fb7b9f02142" xlink:to="loc_us-gaap_RetainedEarningsAccumulatedDeficit_21ddfef6-92be-4ac4-be5a-f6887ddf4bf8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentNetOfTax_7dc7134c-7449-4006-b604-0b4f8dafdd0e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccumulatedOtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentNetOfTax"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquity_3d6469c8-ac26-4eaa-ba6f-0fb7b9f02142" xlink:to="loc_us-gaap_AccumulatedOtherComprehensiveIncomeLossForeignCurrencyTranslationAdjustmentNetOfTax_7dc7134c-7449-4006-b604-0b4f8dafdd0e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Assets_b6d08cca-60f2-4bdc-9bc9-8cf163176b1e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_Assets"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_Goodwill_f701bb2d-a525-4ae7-9433-00c7644babd1" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_Goodwill"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_b6d08cca-60f2-4bdc-9bc9-8cf163176b1e" xlink:to="loc_us-gaap_Goodwill_f701bb2d-a525-4ae7-9433-00c7644babd1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_cbd8bc7e-15b1-48f2-b089-a69602829863" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_b6d08cca-60f2-4bdc-9bc9-8cf163176b1e" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentNet_cbd8bc7e-15b1-48f2-b089-a69602829863" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_1cb5086e-4001-4fdb-986e-9bb75f1ff149" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IntangibleAssetsNetExcludingGoodwill"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_b6d08cca-60f2-4bdc-9bc9-8cf163176b1e" xlink:to="loc_us-gaap_IntangibleAssetsNetExcludingGoodwill_1cb5086e-4001-4fdb-986e-9bb75f1ff149" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseRightOfUseAsset_28b26a1c-8536-4bb9-9caa-2b38a36c883d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingLeaseRightOfUseAsset"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_b6d08cca-60f2-4bdc-9bc9-8cf163176b1e" xlink:to="loc_us-gaap_OperatingLeaseRightOfUseAsset_28b26a1c-8536-4bb9-9caa-2b38a36c883d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssets_b711426d-59c1-41a6-bd61-8556b353a137" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherAssets"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_b6d08cca-60f2-4bdc-9bc9-8cf163176b1e" xlink:to="loc_us-gaap_OtherAssets_b711426d-59c1-41a6-bd61-8556b353a137" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AssetsCurrent_f57d6789-a622-41dc-9763-89bb4dfdcbff" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AssetsCurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_Assets_b6d08cca-60f2-4bdc-9bc9-8cf163176b1e" xlink:to="loc_us-gaap_AssetsCurrent_f57d6789-a622-41dc-9763-89bb4dfdcbff" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_c24dec99-dae3-49a9-a74a-749195eccce9" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_MinorityInterest_bde954ae-65bd-44f0-b337-2f67aa2092b5" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_MinorityInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_c24dec99-dae3-49a9-a74a-749195eccce9" xlink:to="loc_us-gaap_MinorityInterest_bde954ae-65bd-44f0-b337-2f67aa2092b5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_StockholdersEquity_e3db1423-5405-420d-9f09-ee25e6ba685f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_StockholdersEquity"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_StockholdersEquityIncludingPortionAttributableToNoncontrollingInterest_c24dec99-dae3-49a9-a74a-749195eccce9" xlink:to="loc_us-gaap_StockholdersEquity_e3db1423-5405-420d-9f09-ee25e6ba685f" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/CONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVELOSS" xlink:type="simple" xlink:href="brns-20241231.xsd#CONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVELOSS"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/CONSOLIDATEDSTATEMENTSOFOPERATIONSANDCOMPREHENSIVELOSS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_ba1bc602-19b6-4733-975a-d229e766e53b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingExpenses"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ResearchAndDevelopmentExpense_0ff80104-493b-4136-ac49-97c9bb8617ec" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ResearchAndDevelopmentExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_ba1bc602-19b6-4733-975a-d229e766e53b" xlink:to="loc_us-gaap_ResearchAndDevelopmentExpense_0ff80104-493b-4136-ac49-97c9bb8617ec" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GeneralAndAdministrativeExpense_d1b55791-4018-4e7c-81ff-3dc30ee8314e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_GeneralAndAdministrativeExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_ba1bc602-19b6-4733-975a-d229e766e53b" xlink:to="loc_us-gaap_GeneralAndAdministrativeExpense_d1b55791-4018-4e7c-81ff-3dc30ee8314e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillImpairmentLoss_ce0ad46c-7203-4b61-bc30-645d9a1a471f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_GoodwillImpairmentLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingExpenses_ba1bc602-19b6-4733-975a-d229e766e53b" xlink:to="loc_us-gaap_GoodwillImpairmentLoss_ce0ad46c-7203-4b61-bc30-645d9a1a471f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_eb1490a0-9890-4c59-9a53-86ee70609e7e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InvestmentIncomeInterest_5e7569b3-17ee-4922-b274-b391cff7bcc7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InvestmentIncomeInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_eb1490a0-9890-4c59-9a53-86ee70609e7e" xlink:to="loc_us-gaap_InvestmentIncomeInterest_5e7569b3-17ee-4922-b274-b391cff7bcc7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_InterestExpenseNonoperating_3c3e014e-4a90-4d9e-857a-1e247e564f57" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_InterestExpenseNonoperating"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_eb1490a0-9890-4c59-9a53-86ee70609e7e" xlink:to="loc_us-gaap_InterestExpenseNonoperating_3c3e014e-4a90-4d9e-857a-1e247e564f57" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_ResearchAndDevelopmentIncentiveIncomeExpense_b6aae9e5-1181-4a78-8ec4-b1646bfd1a28" xlink:href="brns-20241231.xsd#brns_ResearchAndDevelopmentIncentiveIncomeExpense"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_eb1490a0-9890-4c59-9a53-86ee70609e7e" xlink:to="loc_brns_ResearchAndDevelopmentIncentiveIncomeExpense_b6aae9e5-1181-4a78-8ec4-b1646bfd1a28" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherNonoperatingIncomeExpense_862794b2-f472-43c5-b038-abe01d932642" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherNonoperatingIncomeExpense"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NonoperatingIncomeExpense_eb1490a0-9890-4c59-9a53-86ee70609e7e" xlink:to="loc_us-gaap_OtherNonoperatingIncomeExpense_862794b2-f472-43c5-b038-abe01d932642" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_06778511-213f-49d8-b62b-cde61058fb69" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_ac99b45f-079c-40d0-9b33-71ec3838a0e3" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_06778511-213f-49d8-b62b-cde61058fb69" xlink:to="loc_us-gaap_OperatingIncomeLoss_ac99b45f-079c-40d0-9b33-71ec3838a0e3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NonoperatingIncomeExpense_e2c9fc8b-3e0d-4df2-b56e-18b5ef6c64de" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NonoperatingIncomeExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_06778511-213f-49d8-b62b-cde61058fb69" xlink:to="loc_us-gaap_NonoperatingIncomeExpense_e2c9fc8b-3e0d-4df2-b56e-18b5ef6c64de" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTax_7f1ef0ae-19ba-448e-b388-fbdfc086947a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ComprehensiveIncomeNetOfTax"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_8b482cea-6cb8-4958-80f6-4e281be6741e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_7f1ef0ae-19ba-448e-b388-fbdfc086947a" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_8b482cea-6cb8-4958-80f6-4e281be6741e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest_14edc7c3-72b3-4fad-8ee3-1ce84a2de2f7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTax_7f1ef0ae-19ba-448e-b388-fbdfc086947a" xlink:to="loc_us-gaap_ComprehensiveIncomeNetOfTaxAttributableToNoncontrollingInterest_14edc7c3-72b3-4fad-8ee3-1ce84a2de2f7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLoss_5a47a836-7a62-4059-9ad3-bff6ab8c751c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_14de31e4-9dd2-420e-92e4-6cb5ea03cfc4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_5a47a836-7a62-4059-9ad3-bff6ab8c751c" xlink:to="loc_us-gaap_ProfitLoss_14de31e4-9dd2-420e-92e4-6cb5ea03cfc4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_9dae9f50-29a3-4e7a-b282-095d6a002db5" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetIncomeLossAttributableToNoncontrollingInterest"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetIncomeLoss_5a47a836-7a62-4059-9ad3-bff6ab8c751c" xlink:to="loc_us-gaap_NetIncomeLossAttributableToNoncontrollingInterest_9dae9f50-29a3-4e7a-b282-095d6a002db5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_91f0ce1d-01ad-44f6-ae6f-43051f15bf5b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProfitLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_a8285489-78bb-4d58-b941-06c758cea8b5" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_91f0ce1d-01ad-44f6-ae6f-43051f15bf5b" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_a8285489-78bb-4d58-b941-06c758cea8b5" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_2b262ea6-586a-48b1-9fb7-a9b453b5a1eb" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ProfitLoss_91f0ce1d-01ad-44f6-ae6f-43051f15bf5b" xlink:to="loc_us-gaap_IncomeTaxExpenseBenefit_2b262ea6-586a-48b1-9fb7-a9b453b5a1eb" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_80ce5d87-7c5f-4997-9704-f4dbd7a9c01f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_3b662d55-dfdb-445f-9449-356e1816224d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_80ce5d87-7c5f-4997-9704-f4dbd7a9c01f" xlink:to="loc_us-gaap_ProfitLoss_3b662d55-dfdb-445f-9449-356e1816224d" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_386d886c-e014-4732-a8c5-c1f47d2ddee1" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ComprehensiveIncomeNetOfTaxIncludingPortionAttributableToNoncontrollingInterest_80ce5d87-7c5f-4997-9704-f4dbd7a9c01f" xlink:to="loc_us-gaap_OtherComprehensiveIncomeLossForeignCurrencyTransactionAndTranslationAdjustmentNetOfTax_386d886c-e014-4732-a8c5-c1f47d2ddee1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingIncomeLoss_ed4b374e-4604-45d7-9678-b94c0791ee29" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingIncomeLoss"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_84457a49-18e9-441c-ac8a-bfc7fdddac6c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_ed4b374e-4604-45d7-9678-b94c0791ee29" xlink:to="loc_us-gaap_RevenueFromContractWithCustomerExcludingAssessedTax_84457a49-18e9-441c-ac8a-bfc7fdddac6c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingExpenses_363e69dd-59ce-4b68-8639-ce71073f9b61" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingExpenses"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_ed4b374e-4604-45d7-9678-b94c0791ee29" xlink:to="loc_us-gaap_OperatingExpenses_363e69dd-59ce-4b68-8639-ce71073f9b61" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherOperatingIncome_568a3e35-b065-4dd0-bd79-8982e86d1596" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherOperatingIncome"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_OperatingIncomeLoss_ed4b374e-4604-45d7-9678-b94c0791ee29" xlink:to="loc_us-gaap_OtherOperatingIncome_568a3e35-b065-4dd0-bd79-8982e86d1596" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWS" xlink:type="simple" xlink:href="brns-20241231.xsd#CONSOLIDATEDSTATEMENTSOFCASHFLOWS"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/CONSOLIDATEDSTATEMENTSOFCASHFLOWS" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProfitLoss_b291f0ab-be94-48d0-99e0-62a765edbbfd" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProfitLoss"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_ProfitLoss_b291f0ab-be94-48d0-99e0-62a765edbbfd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensation_ff61cb74-b207-4634-86e8-151c045fabf8" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ShareBasedCompensation"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_ShareBasedCompensation_ff61cb74-b207-4634-86e8-151c045fabf8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_ImpairmentLongLivedAssetHeldForUseUseAndOperatingLeaseImpairmentLoss_c792f119-d7a1-425e-bf1b-d0f18d98a4b8" xlink:href="brns-20241231.xsd#brns_ImpairmentLongLivedAssetHeldForUseUseAndOperatingLeaseImpairmentLoss"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_brns_ImpairmentLongLivedAssetHeldForUseUseAndOperatingLeaseImpairmentLoss_c792f119-d7a1-425e-bf1b-d0f18d98a4b8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_GoodwillImpairmentLoss_1b3259ce-bc52-40b0-bb7f-5bc1a408ffca" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_GoodwillImpairmentLoss"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_GoodwillImpairmentLoss_1b3259ce-bc52-40b0-bb7f-5bc1a408ffca" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DepreciationDepletionAndAmortization_202d811d-3667-410f-9691-f69ac67736d2" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DepreciationDepletionAndAmortization"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_DepreciationDepletionAndAmortization_202d811d-3667-410f-9691-f69ac67736d2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_NonCashLeaseExpenses_7534959c-cbfe-4abd-98cf-f62133e94d90" xlink:href="brns-20241231.xsd#brns_NonCashLeaseExpenses"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_brns_NonCashLeaseExpenses_7534959c-cbfe-4abd-98cf-f62133e94d90" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealized_85bf8cfb-d49a-4d05-a96a-19c4aae64f26" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ForeignCurrencyTransactionGainLossUnrealized"/>
    <link:calculationArc order="7" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_ForeignCurrencyTransactionGainLossUnrealized_85bf8cfb-d49a-4d05-a96a-19c4aae64f26" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_09286550-0374-40ec-9338-cc017fcd3e96" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1"/>
    <link:calculationArc order="8" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_BusinessCombinationContingentConsiderationArrangementsChangeInAmountOfContingentConsiderationLiability1_09286550-0374-40ec-9338-cc017fcd3e96" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_NonCashInterestExpenseOnConvertibleLoanNotes_bc860bdf-2549-4a7e-ba18-2d3c080c0e51" xlink:href="brns-20241231.xsd#brns_NonCashInterestExpenseOnConvertibleLoanNotes"/>
    <link:calculationArc order="9" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_brns_NonCashInterestExpenseOnConvertibleLoanNotes_bc860bdf-2549-4a7e-ba18-2d3c080c0e51" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_45556456-f657-469b-a348-dc3f49a0a9ce" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="10" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_DeferredIncomeTaxExpenseBenefit_45556456-f657-469b-a348-dc3f49a0a9ce" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_be257253-d618-456e-ad54-1d4633ac289f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInAccountsReceivable"/>
    <link:calculationArc order="11" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsReceivable_be257253-d618-456e-ad54-1d4633ac289f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_7ffd4845-09e8-4660-af7e-9294d950ba27" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets"/>
    <link:calculationArc order="12" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_IncreaseDecreaseInPrepaidDeferredExpenseAndOtherAssets_7ffd4845-09e8-4660-af7e-9294d950ba27" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_IncreaseDecreaseInResearchAndDevelopmentIncentivesReceivable_cb0114ac-cbcf-4a68-92f4-3bf41bd428f6" xlink:href="brns-20241231.xsd#brns_IncreaseDecreaseInResearchAndDevelopmentIncentivesReceivable"/>
    <link:calculationArc order="13" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_brns_IncreaseDecreaseInResearchAndDevelopmentIncentivesReceivable_cb0114ac-cbcf-4a68-92f4-3bf41bd428f6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccountsPayable_65dd25cf-fdc3-4673-bec7-41ec498bb48f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInAccountsPayable"/>
    <link:calculationArc order="14" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_IncreaseDecreaseInAccountsPayable_65dd25cf-fdc3-4673-bec7-41ec498bb48f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_e6a81c4e-1ab5-420e-8555-b0a97808519b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities"/>
    <link:calculationArc order="15" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_IncreaseDecreaseInAccruedLiabilitiesAndOtherOperatingLiabilities_e6a81c4e-1ab5-420e-8555-b0a97808519b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInDeferredRevenue_07c11940-6afe-4e63-a4a8-5b8c1585f351" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInDeferredRevenue"/>
    <link:calculationArc order="16" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_IncreaseDecreaseInDeferredRevenue_07c11940-6afe-4e63-a4a8-5b8c1585f351" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_d7c56ce7-1a4a-43e4-bec8-1e534f33f23c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInOperatingLeaseLiability"/>
    <link:calculationArc order="17" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_IncreaseDecreaseInOperatingLeaseLiability_d7c56ce7-1a4a-43e4-bec8-1e534f33f23c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_1ac1dbba-c04a-419b-8b8d-b79b82da015e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncreaseDecreaseInOtherOperatingAssets"/>
    <link:calculationArc order="18" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_a2d8a4aa-c70d-4d44-a76f-080d8901a508" xlink:to="loc_us-gaap_IncreaseDecreaseInOtherOperatingAssets_1ac1dbba-c04a-419b-8b8d-b79b82da015e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_cfe67806-b9bb-427d-9897-57d9f3f9d856" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions_c989f7e8-33e8-492e-ae8a-fa38027a359c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_cfe67806-b9bb-427d-9897-57d9f3f9d856" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfSharesUnderIncentiveAndShareBasedCompensationPlansIncludingStockOptions_c989f7e8-33e8-492e-ae8a-fa38027a359c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_4cd09144-cdb9-4ffe-8a0a-9834d53506c6" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ProceedsFromIssuanceOfCommonStock"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_cfe67806-b9bb-427d-9897-57d9f3f9d856" xlink:to="loc_us-gaap_ProceedsFromIssuanceOfCommonStock_4cd09144-cdb9-4ffe-8a0a-9834d53506c6" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities_ac31413a-d972-445a-9a3e-7a3751b9e339" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities"/>
    <link:calculationArc order="3" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_cfe67806-b9bb-427d-9897-57d9f3f9d856" xlink:to="loc_us-gaap_PaymentForContingentConsiderationLiabilityFinancingActivities_ac31413a-d972-445a-9a3e-7a3751b9e339" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_998ecb4b-248a-4d3a-863c-03c236917d55" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_2537b4a1-04e6-471a-9a21-c6f543e60923" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInOperatingActivities"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_998ecb4b-248a-4d3a-863c-03c236917d55" xlink:to="loc_us-gaap_NetCashProvidedByUsedInOperatingActivities_2537b4a1-04e6-471a-9a21-c6f543e60923" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_a30fcf9f-27f4-4d00-816b-2dd19979844f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_998ecb4b-248a-4d3a-863c-03c236917d55" xlink:to="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_a30fcf9f-27f4-4d00-816b-2dd19979844f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_3383ff74-ae9b-412b-9472-4d3ebd81716e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInFinancingActivities"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_998ecb4b-248a-4d3a-863c-03c236917d55" xlink:to="loc_us-gaap_NetCashProvidedByUsedInFinancingActivities_3383ff74-ae9b-412b-9472-4d3ebd81716e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_9e3fa0b3-0fc9-4492-938c-a6f7a53605f9" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsPeriodIncreaseDecreaseIncludingExchangeRateEffect_998ecb4b-248a-4d3a-863c-03c236917d55" xlink:to="loc_us-gaap_EffectOfExchangeRateOnCashCashEquivalentsRestrictedCashAndRestrictedCashEquivalentsIncludingDisposalGroupAndDiscontinuedOperations_9e3fa0b3-0fc9-4492-938c-a6f7a53605f9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_cbf030c1-b86d-4871-8398-0ab721bf0a11" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_NetCashProvidedByUsedInInvestingActivities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_75e49bfb-0148-41d9-981a-c123a1036a64" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PaymentsToAcquirePropertyPlantAndEquipment"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_NetCashProvidedByUsedInInvestingActivities_cbf030c1-b86d-4871-8398-0ab721bf0a11" xlink:to="loc_us-gaap_PaymentsToAcquirePropertyPlantAndEquipment_75e49bfb-0148-41d9-981a-c123a1036a64" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/SegmentinformationSignificantSegmentExpensesDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#SegmentinformationSignificantSegmentExpensesDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/SegmentinformationSignificantSegmentExpensesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ResearchAndDevelopmentExpense_e3783580-6a07-488d-9d95-3bf55716eeb4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ResearchAndDevelopmentExpense"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_IndirectResearchAndDevelopmentExpense_9181e2cd-6314-4ca9-99b4-97bd4ea5f2ed" xlink:href="brns-20241231.xsd#brns_IndirectResearchAndDevelopmentExpense"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ResearchAndDevelopmentExpense_e3783580-6a07-488d-9d95-3bf55716eeb4" xlink:to="loc_brns_IndirectResearchAndDevelopmentExpense_9181e2cd-6314-4ca9-99b4-97bd4ea5f2ed" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_DirectResearchAndDevelopmentExpense_f23b3257-c9c0-4f81-9f3b-a7033f8e227b" xlink:href="brns-20241231.xsd#brns_DirectResearchAndDevelopmentExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_ResearchAndDevelopmentExpense_e3783580-6a07-488d-9d95-3bf55716eeb4" xlink:to="loc_brns_DirectResearchAndDevelopmentExpense_f23b3257-c9c0-4f81-9f3b-a7033f8e227b" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/NetLossPerShareComputationDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#NetLossPerShareComputationDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/NetLossPerShareComputationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_142a72d5-bea3-4099-b61f-147b56b912f7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_d5058cb3-b58c-4e29-9fcb-07a75a867093" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_WeightedAverageNumberOfSharesOutstandingBasic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_WeightedAverageNumberOfDilutedSharesOutstanding_142a72d5-bea3-4099-b61f-147b56b912f7" xlink:to="loc_us-gaap_WeightedAverageNumberOfSharesOutstandingBasic_d5058cb3-b58c-4e29-9fcb-07a75a867093" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/PropertyandEquipmentNetComponentsDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#PropertyandEquipmentNetComponentsDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/PropertyandEquipmentNetComponentsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentNet_eaa40071-1bee-4598-ae6d-9b6b8ae5d9f0" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PropertyPlantAndEquipmentNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PropertyPlantAndEquipmentGross_4aa69642-d246-4666-9fcb-ef958f23dc70" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PropertyPlantAndEquipmentGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNet_eaa40071-1bee-4598-ae6d-9b6b8ae5d9f0" xlink:to="loc_us-gaap_PropertyPlantAndEquipmentGross_4aa69642-d246-4666-9fcb-ef958f23dc70" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_288bc0c1-8fa5-4d1d-b5eb-870a0297e54c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PropertyPlantAndEquipmentNet_eaa40071-1bee-4598-ae6d-9b6b8ae5d9f0" xlink:to="loc_us-gaap_AccumulatedDepreciationDepletionAndAmortizationPropertyPlantAndEquipment_288bc0c1-8fa5-4d1d-b5eb-870a0297e54c" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/PrepaidandOtherCurrentAssetsDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#PrepaidandOtherCurrentAssetsDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/PrepaidandOtherCurrentAssetsDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_af17cbd9-4468-46f3-97e1-4dacf04a44ca" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PrepaidExpenseAndOtherAssetsCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_PrepaidExpenseCurrent_b17c66e1-dec1-498d-8ef3-fab5bc3410e4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_PrepaidExpenseCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_af17cbd9-4468-46f3-97e1-4dacf04a44ca" xlink:to="loc_us-gaap_PrepaidExpenseCurrent_b17c66e1-dec1-498d-8ef3-fab5bc3410e4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ValueAddedTaxReceivableCurrent_fb6a031e-0180-473a-8886-2e654a194343" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ValueAddedTaxReceivableCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_af17cbd9-4468-46f3-97e1-4dacf04a44ca" xlink:to="loc_us-gaap_ValueAddedTaxReceivableCurrent_fb6a031e-0180-473a-8886-2e654a194343" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAssetsCurrent_959a9f5b-216c-4cfc-ae6e-db0e28093931" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherAssetsCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_PrepaidExpenseAndOtherAssetsCurrent_af17cbd9-4468-46f3-97e1-4dacf04a44ca" xlink:to="loc_us-gaap_OtherAssetsCurrent_959a9f5b-216c-4cfc-ae6e-db0e28093931" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/AccruedExpensesandOtherCurrentLiabilitiesDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#AccruedExpensesandOtherCurrentLiabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/AccruedExpensesandOtherCurrentLiabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_cfb300a7-90d5-4de8-82e3-e393e137f83b" xlink:href="brns-20241231.xsd#brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_AccruedManufacturingAndClinicalExpensesCurrent_afc73e86-a21f-4ccc-ac05-e2601920f4a1" xlink:href="brns-20241231.xsd#brns_AccruedManufacturingAndClinicalExpensesCurrent"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_cfb300a7-90d5-4de8-82e3-e393e137f83b" xlink:to="loc_brns_AccruedManufacturingAndClinicalExpensesCurrent_afc73e86-a21f-4ccc-ac05-e2601920f4a1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_SalesAndExciseTaxPayableCurrent_7ef34319-a2a6-4610-994d-cc37097ff89b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_SalesAndExciseTaxPayableCurrent"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_cfb300a7-90d5-4de8-82e3-e393e137f83b" xlink:to="loc_us-gaap_SalesAndExciseTaxPayableCurrent_7ef34319-a2a6-4610-994d-cc37097ff89b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedBonusesCurrent_a4cf946a-c4c4-42ba-a1ba-535ced4f6abc" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccruedBonusesCurrent"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_cfb300a7-90d5-4de8-82e3-e393e137f83b" xlink:to="loc_us-gaap_AccruedBonusesCurrent_a4cf946a-c4c4-42ba-a1ba-535ced4f6abc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedEmployeeBenefitsCurrent_fe472ff2-1516-47b1-96af-6b18aa146b8b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccruedEmployeeBenefitsCurrent"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_cfb300a7-90d5-4de8-82e3-e393e137f83b" xlink:to="loc_us-gaap_AccruedEmployeeBenefitsCurrent_fe472ff2-1516-47b1-96af-6b18aa146b8b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_AccruedProfessionalFeesCurrent_8f400305-3fb8-4cf4-9040-67aad69dd7cc" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_AccruedProfessionalFeesCurrent"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_cfb300a7-90d5-4de8-82e3-e393e137f83b" xlink:to="loc_us-gaap_AccruedProfessionalFeesCurrent_8f400305-3fb8-4cf4-9040-67aad69dd7cc" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OtherAccruedLiabilitiesCurrent_6162fcaf-180f-4119-b778-60a4e0e2f491" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OtherAccruedLiabilitiesCurrent"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_brns_AccruedLiabilitiesAndOtherLiabilitiesCurrent_cfb300a7-90d5-4de8-82e3-e393e137f83b" xlink:to="loc_us-gaap_OtherAccruedLiabilitiesCurrent_6162fcaf-180f-4119-b778-60a4e0e2f491" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/OrdinarySharesOrdinarysharesforFutureIssuanceDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#OrdinarySharesOrdinarysharesforFutureIssuanceDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/OrdinarySharesOrdinarysharesforFutureIssuanceDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_32a01e56-9d08-476c-b56d-c92b364acdf5" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CommonStockCapitalSharesReservedForFutureIssuance"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_ff26650a-f4ee-4fbe-97fb-4824ccaa69fd" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_32a01e56-9d08-476c-b56d-c92b364acdf5" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardOptionsOutstandingNumber_ff26650a-f4ee-4fbe-97fb-4824ccaa69fd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant_7cd02072-62e0-4107-a135-e4ea7e967a97" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_CommonStockCapitalSharesReservedForFutureIssuance_32a01e56-9d08-476c-b56d-c92b364acdf5" xlink:to="loc_us-gaap_ShareBasedCompensationArrangementByShareBasedPaymentAwardNumberOfSharesAvailableForGrant_7cd02072-62e0-4107-a135-e4ea7e967a97" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/IncomeTaxesLossbeforeincometaxesDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#IncomeTaxesLossbeforeincometaxesDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/IncomeTaxesLossbeforeincometaxesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_fd4e998b-13ab-4867-a571-b6b88a7fd32c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_7e26e5e1-08f4-4ae6-82d7-3873f2e6f7bf" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_fd4e998b-13ab-4867-a571-b6b88a7fd32c" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesDomestic_7e26e5e1-08f4-4ae6-82d7-3873f2e6f7bf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_4681cb1f-6f6e-4079-bcd5-614758e2d66d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesExtraordinaryItemsNoncontrollingInterest_fd4e998b-13ab-4867-a571-b6b88a7fd32c" xlink:to="loc_us-gaap_IncomeLossFromContinuingOperationsBeforeIncomeTaxesForeign_4681cb1f-6f6e-4079-bcd5-614758e2d66d" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/IncomeTaxesComponentsofincometaxbenefitexpenseDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#IncomeTaxesComponentsofincometaxbenefitexpenseDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/IncomeTaxesComponentsofincometaxbenefitexpenseDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_IncomeTaxExpenseBenefit_c3620635-5b76-4ab4-831a-cc7d10fbdfb2" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_IncomeTaxExpenseBenefit"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_CurrentForeignTaxExpenseBenefit_52e74355-be3f-4339-8946-c47008d46059" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_CurrentForeignTaxExpenseBenefit"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_c3620635-5b76-4ab4-831a-cc7d10fbdfb2" xlink:to="loc_us-gaap_CurrentForeignTaxExpenseBenefit_52e74355-be3f-4339-8946-c47008d46059" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredForeignIncomeTaxExpenseBenefit_77abb12a-4826-4878-bb73-de4e45a7e7d9" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredForeignIncomeTaxExpenseBenefit"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_IncomeTaxExpenseBenefit_c3620635-5b76-4ab4-831a-cc7d10fbdfb2" xlink:to="loc_us-gaap_DeferredForeignIncomeTaxExpenseBenefit_77abb12a-4826-4878-bb73-de4e45a7e7d9" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/IncomeTaxesReconciliationtotheeffectivetaxrateDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#IncomeTaxesReconciliationtotheeffectivetaxrateDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/IncomeTaxesReconciliationtotheeffectivetaxrateDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_8faa7905-e4e0-4ab2-b054-264c6323665f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_EffectiveIncomeTaxRateContinuingOperations"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_85672244-0e83-46d8-babb-58f2dfcfb7e1" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_8faa7905-e4e0-4ab2-b054-264c6323665f" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationAtFederalStatutoryIncomeTaxRate_85672244-0e83-46d8-babb-58f2dfcfb7e1" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_c37051a4-d2e5-44f9-93ce-2083cc3edd44" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_8faa7905-e4e0-4ab2-b054-264c6323665f" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationNondeductibleExpense_c37051a4-d2e5-44f9-93ce-2083cc3edd44" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_EffectiveIncomeTaxRateReconciliationProvisionToReturnAdjustments_b9cdc73a-4fce-419f-92a2-70fbc7c4a1e8" xlink:href="brns-20241231.xsd#brns_EffectiveIncomeTaxRateReconciliationProvisionToReturnAdjustments"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_8faa7905-e4e0-4ab2-b054-264c6323665f" xlink:to="loc_brns_EffectiveIncomeTaxRateReconciliationProvisionToReturnAdjustments_b9cdc73a-4fce-419f-92a2-70fbc7c4a1e8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_EffectiveIncomeTaxRateReconciliationTaxCreditsResearchAndDevelopment_f59628d1-ce88-4ce6-b200-5cc44a8b29f2" xlink:href="brns-20241231.xsd#brns_EffectiveIncomeTaxRateReconciliationTaxCreditsResearchAndDevelopment"/>
    <link:calculationArc order="4" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_8faa7905-e4e0-4ab2-b054-264c6323665f" xlink:to="loc_brns_EffectiveIncomeTaxRateReconciliationTaxCreditsResearchAndDevelopment_f59628d1-ce88-4ce6-b200-5cc44a8b29f2" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_cdd172f6-a8a7-4898-921b-3af706ff712c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_8faa7905-e4e0-4ab2-b054-264c6323665f" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationForeignIncomeTaxRateDifferential_cdd172f6-a8a7-4898-921b-3af706ff712c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_ac054606-57e9-4002-9a4d-33d2128573cf" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_8faa7905-e4e0-4ab2-b054-264c6323665f" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationChangeInDeferredTaxAssetsValuationAllowance_ac054606-57e9-4002-9a4d-33d2128573cf" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent_7f66f59a-4a1e-4573-a2d0-e92ddce81fa3" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_EffectiveIncomeTaxRateContinuingOperations_8faa7905-e4e0-4ab2-b054-264c6323665f" xlink:to="loc_us-gaap_EffectiveIncomeTaxRateReconciliationShareBasedCompensationExcessTaxBenefitPercent_7f66f59a-4a1e-4573-a2d0-e92ddce81fa3" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/IncomeTaxesDeferredtaxassetsandliabilitiesDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#IncomeTaxesDeferredtaxassetsandliabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/IncomeTaxesDeferredtaxassetsandliabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGross_4a497491-f55a-4592-8581-d59e270a94ed" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_76e783f3-4952-42d0-b67f-856b80f00084" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsOperatingLossCarryforwards"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_4a497491-f55a-4592-8581-d59e270a94ed" xlink:to="loc_us-gaap_DeferredTaxAssetsOperatingLossCarryforwards_76e783f3-4952-42d0-b67f-856b80f00084" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsResearch_e557d621-d80f-48e3-ad6f-77d8d77820e7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsResearch"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_4a497491-f55a-4592-8581-d59e270a94ed" xlink:to="loc_us-gaap_DeferredTaxAssetsTaxCreditCarryforwardsResearch_e557d621-d80f-48e3-ad6f-77d8d77820e7" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_8d00a116-f07a-44f5-a7ae-88d26ae2e37e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_4a497491-f55a-4592-8581-d59e270a94ed" xlink:to="loc_us-gaap_DeferredTaxAssetsTaxDeferredExpenseCompensationAndBenefitsShareBasedCompensationCost_8d00a116-f07a-44f5-a7ae-88d26ae2e37e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_brns_DeferredTaxAssetsLeasingArrangements_429184b1-8f71-4de5-b846-2ec789035ebd" xlink:href="brns-20241231.xsd#brns_DeferredTaxAssetsLeasingArrangements"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_4a497491-f55a-4592-8581-d59e270a94ed" xlink:to="loc_brns_DeferredTaxAssetsLeasingArrangements_429184b1-8f71-4de5-b846-2ec789035ebd" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets_111e5ac5-41f1-4e6c-898b-d76fb83f4790" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_4a497491-f55a-4592-8581-d59e270a94ed" xlink:to="loc_us-gaap_DeferredTaxAssetsGoodwillAndIntangibleAssets_111e5ac5-41f1-4e6c-898b-d76fb83f4790" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment_c9c51d5c-049c-47d1-8bd1-39d0b4c757c4" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_4a497491-f55a-4592-8581-d59e270a94ed" xlink:to="loc_us-gaap_DeferredTaxAssetsInProcessResearchAndDevelopment_c9c51d5c-049c-47d1-8bd1-39d0b4c757c4" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsOther_5b28f45e-9837-4960-adb5-da287d2a2e5e" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsOther"/>
    <link:calculationArc order="7" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsGross_4a497491-f55a-4592-8581-d59e270a94ed" xlink:to="loc_us-gaap_DeferredTaxAssetsOther_5b28f45e-9837-4960-adb5-da287d2a2e5e" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_ebfaa8c3-c80f-4ba9-ba13-276d57ceea3d" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredIncomeTaxLiabilitiesNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsNet_bb8905a8-e6b1-41a5-9351-0ef67ae0b8da" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsNet"/>
    <link:calculationArc order="1" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_ebfaa8c3-c80f-4ba9-ba13-276d57ceea3d" xlink:to="loc_us-gaap_DeferredTaxAssetsNet_bb8905a8-e6b1-41a5-9351-0ef67ae0b8da" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilities_88d64284-bef3-4bf4-9af5-34c79d3bcd57" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredIncomeTaxLiabilities"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilitiesNet_ebfaa8c3-c80f-4ba9-ba13-276d57ceea3d" xlink:to="loc_us-gaap_DeferredIncomeTaxLiabilities_88d64284-bef3-4bf4-9af5-34c79d3bcd57" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredIncomeTaxLiabilities_575edbeb-7a6c-492e-8d12-6c6aed6562fc" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredIncomeTaxLiabilities"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment_90826d4c-306d-4bbc-b018-397d14060e8f" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilities_575edbeb-7a6c-492e-8d12-6c6aed6562fc" xlink:to="loc_us-gaap_DeferredTaxLiabilitiesPropertyPlantAndEquipment_90826d4c-306d-4bbc-b018-397d14060e8f" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesLeasingArrangements_07ebab0a-3964-44ce-b555-3b5a9889a279" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxLiabilitiesLeasingArrangements"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilities_575edbeb-7a6c-492e-8d12-6c6aed6562fc" xlink:to="loc_us-gaap_DeferredTaxLiabilitiesLeasingArrangements_07ebab0a-3964-44ce-b555-3b5a9889a279" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings_29d44f8f-41e4-4603-b25e-e2cef4ca833a" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilities_575edbeb-7a6c-492e-8d12-6c6aed6562fc" xlink:to="loc_us-gaap_DeferredTaxLiabilitiesUndistributedForeignEarnings_29d44f8f-41e4-4603-b25e-e2cef4ca833a" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets_d894a310-2ecc-4cdb-a1e0-62db2adebb2c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredIncomeTaxLiabilities_575edbeb-7a6c-492e-8d12-6c6aed6562fc" xlink:to="loc_us-gaap_DeferredTaxLiabilitiesGoodwillAndIntangibleAssetsIntangibleAssets_d894a310-2ecc-4cdb-a1e0-62db2adebb2c" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsNet_07f59c89-19e7-414f-af09-400e36f67140" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsNet"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsGross_db24ef0e-5542-4e2a-8a2c-e40349a084a8" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsGross"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsNet_07f59c89-19e7-414f-af09-400e36f67140" xlink:to="loc_us-gaap_DeferredTaxAssetsGross_db24ef0e-5542-4e2a-8a2c-e40349a084a8" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_DeferredTaxAssetsValuationAllowance_9c522185-8ba9-4188-8d37-d88793035887" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_DeferredTaxAssetsValuationAllowance"/>
    <link:calculationArc order="2" weight="-1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_DeferredTaxAssetsNet_07f59c89-19e7-414f-af09-400e36f67140" xlink:to="loc_us-gaap_DeferredTaxAssetsValuationAllowance_9c522185-8ba9-4188-8d37-d88793035887" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/CommitmentsandContingenciesRightofuseAssetsLeaseLiabilitiesandOtherInformationDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#CommitmentsandContingenciesRightofuseAssetsLeaseLiabilitiesandOtherInformationDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/CommitmentsandContingenciesRightofuseAssetsLeaseLiabilitiesandOtherInformationDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LeaseCost_7d6cb223-3e12-483e-a7fd-272183293223" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LeaseCost"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseCost_18e14ddc-07a5-4daf-82cf-52c18556ad87" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingLeaseCost"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_7d6cb223-3e12-483e-a7fd-272183293223" xlink:to="loc_us-gaap_OperatingLeaseCost_18e14ddc-07a5-4daf-82cf-52c18556ad87" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_ShortTermLeaseCost_6b198a99-295d-418f-8474-fa4f8d1ae0f5" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_ShortTermLeaseCost"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LeaseCost_7d6cb223-3e12-483e-a7fd-272183293223" xlink:to="loc_us-gaap_ShortTermLeaseCost_6b198a99-295d-418f-8474-fa4f8d1ae0f5" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/CommitmentsandContingenciesMaturitiesofminimumleaseliabilitiesDetails" xlink:type="simple" xlink:href="brns-20241231.xsd#CommitmentsandContingenciesMaturitiesofminimumleaseliabilitiesDetails"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/CommitmentsandContingenciesMaturitiesofminimumleaseliabilitiesDetails" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5998d75-c332-4020-a34a-03d58acacd4c" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_db7bc29b-17a7-4394-96b6-a5a576268a29" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5998d75-c332-4020-a34a-03d58acacd4c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueNextTwelveMonths_db7bc29b-17a7-4394-96b6-a5a576268a29" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_3321610a-c58a-4203-8aff-f880e2760dc3" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5998d75-c332-4020-a34a-03d58acacd4c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearTwo_3321610a-c58a-4203-8aff-f880e2760dc3" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_ef11d0f2-c805-473e-abf8-e3bcdc6aa91b" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree"/>
    <link:calculationArc order="3" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5998d75-c332-4020-a34a-03d58acacd4c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearThree_ef11d0f2-c805-473e-abf8-e3bcdc6aa91b" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_0ba81d5e-53ac-4397-92cd-0d625d1a22db" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour"/>
    <link:calculationArc order="4" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5998d75-c332-4020-a34a-03d58acacd4c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFour_0ba81d5e-53ac-4397-92cd-0d625d1a22db" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_9118b0df-fa6a-4567-9985-e138913b91f9" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive"/>
    <link:calculationArc order="5" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5998d75-c332-4020-a34a-03d58acacd4c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueYearFive_9118b0df-fa6a-4567-9985-e138913b91f9" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_f5b490ca-166e-4cc8-bc89-bb0ab4005ca7" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive"/>
    <link:calculationArc order="6" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_c5998d75-c332-4020-a34a-03d58acacd4c" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDueAfterYearFive_f5b490ca-166e-4cc8-bc89-bb0ab4005ca7" xlink:type="arc"/>
  </link:calculationLink>
  <link:roleRef roleURI="http://www.barinthusbio.com/role/CommitmentsandContingenciesMaturitiesofminimumleaseliabilitiesDetails_1" xlink:type="simple" xlink:href="brns-20241231.xsd#CommitmentsandContingenciesMaturitiesofminimumleaseliabilitiesDetails_1"/>
  <link:calculationLink xlink:role="http://www.barinthusbio.com/role/CommitmentsandContingenciesMaturitiesofminimumleaseliabilitiesDetails_1" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_25321b56-9500-4c67-96e1-ca017ed41616" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_OperatingLeaseLiability_27c97644-f4e3-4371-95c6-4f2a766fbe77" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_OperatingLeaseLiability"/>
    <link:calculationArc order="1" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_25321b56-9500-4c67-96e1-ca017ed41616" xlink:to="loc_us-gaap_OperatingLeaseLiability_27c97644-f4e3-4371-95c6-4f2a766fbe77" xlink:type="arc"/>
    <link:loc xlink:type="locator" xlink:label="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_4b40d6e9-02eb-4843-b2a3-3c261496b6af" xlink:href="https://xbrl.fasb.org/us-gaap/2024/elts/us-gaap-2024.xsd#us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount"/>
    <link:calculationArc order="2" weight="1.0" xlink:arcrole="http://www.xbrl.org/2003/arcrole/summation-item" xlink:from="loc_us-gaap_LesseeOperatingLeaseLiabilityPaymentsDue_25321b56-9500-4c67-96e1-ca017ed41616" xlink:to="loc_us-gaap_LesseeOperatingLeaseLiabilityUndiscountedExcessAmount_4b40d6e9-02eb-4843-b2a3-3c261496b6af" xlink:type="arc"/>
  </link:calculationLink>
</link:linkbase>
