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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:019ecbf4-52eb-7e5a-8194-04fd3d8788d1,g:460b5ac7-43f8-415e-87aa-65b14a943dd2-->
<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.cryolife.com/role/Cover" xlink:type="simple" xlink:href="aort-20260806.xsd#Cover"/>
  <link:presentationLink xlink:role="http://www.cryolife.com/role/Cover" xlink:type="extended">
    <link:loc xlink:type="locator" xlink:label="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_019ecbf4-52eb-7b55-bba7-08ef82ddc1b5" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_DocumentType_019ecbf4-52eb-7b55-bba7-08ef82ddc1b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_019ecbf4-52eb-7ad8-8111-f467949d78f6" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_DocumentPeriodEndDate_019ecbf4-52eb-7ad8-8111-f467949d78f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_019ecbf4-52eb-7f12-af4a-c0c521b4ee2f" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityRegistrantName_019ecbf4-52eb-7f12-af4a-c0c521b4ee2f" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_019ecbf4-52eb-73d9-b3ca-006ee67289c8" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityIncorporationStateCountryCode_019ecbf4-52eb-73d9-b3ca-006ee67289c8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_019ecbf4-52eb-7c0d-8bb0-8237cb7b60fc" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityFileNumber_019ecbf4-52eb-7c0d-8bb0-8237cb7b60fc" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_019ecbf4-52eb-7196-b756-7b309afdbaa1" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityTaxIdentificationNumber_019ecbf4-52eb-7196-b756-7b309afdbaa1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_019ecbf4-52eb-7839-a363-3746180d8e22" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityAddressAddressLine1_019ecbf4-52eb-7839-a363-3746180d8e22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_019ecbf4-52eb-7ef0-9ab4-10490202b8a3" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityAddressCityOrTown_019ecbf4-52eb-7ef0-9ab4-10490202b8a3" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_019ecbf4-52eb-745b-9d50-aa9a15aafd6e" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityAddressStateOrProvince_019ecbf4-52eb-745b-9d50-aa9a15aafd6e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_019ecbf4-52eb-730a-bd7a-a6c60b4ea315" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityAddressPostalZipCode_019ecbf4-52eb-730a-bd7a-a6c60b4ea315" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_019ecbf4-52eb-73ab-8b50-6365e0115fbe" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_CityAreaCode_019ecbf4-52eb-73ab-8b50-6365e0115fbe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_019ecbf4-52eb-7d27-a1f8-cc59ac630ab4" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_LocalPhoneNumber_019ecbf4-52eb-7d27-a1f8-cc59ac630ab4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_019ecbf4-52eb-71fa-841a-f5a412962548" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_Security12bTitle_019ecbf4-52eb-71fa-841a-f5a412962548" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_019ecbf4-52eb-7964-a25b-c1a6e15551e8" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_TradingSymbol_019ecbf4-52eb-7964-a25b-c1a6e15551e8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_019ecbf4-52eb-7f21-8134-e7e98ac8dac8" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_SecurityExchangeName_019ecbf4-52eb-7f21-8134-e7e98ac8dac8" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_019ecbf4-52eb-7a18-b0e3-e5f25601f922" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_WrittenCommunications_019ecbf4-52eb-7a18-b0e3-e5f25601f922" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_019ecbf4-52eb-7961-b182-c102c65b29c2" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_SolicitingMaterial_019ecbf4-52eb-7961-b182-c102c65b29c2" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_019ecbf4-52eb-73d0-8c78-e5047b1daa41" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_PreCommencementTenderOffer_019ecbf4-52eb-73d0-8c78-e5047b1daa41" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_019ecbf4-52eb-7f98-a6b2-14431a297df4" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_019ecbf4-52eb-7f98-a6b2-14431a297df4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_019ecbf4-52eb-7119-bb00-220838acf829" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityEmergingGrowthCompany_019ecbf4-52eb-7119-bb00-220838acf829" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_019ecbf4-52eb-773f-aab1-d0c931056cd1" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_EntityCentralIndexKey_019ecbf4-52eb-773f-aab1-d0c931056cd1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_019ecbf4-52eb-7dfa-83f4-2fb1901cbe91" xlink:href="https://xbrl.sec.gov/dei/2024/dei-2024.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_019ecbf4-52eb-7f0e-b061-ccc570c03857" xlink:to="loc_dei_AmendmentFlag_019ecbf4-52eb-7dfa-83f4-2fb1901cbe91" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
