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

<!--XBRL Document Created with the Workiva Platform-->
<!--Copyright 2026 Workiva-->
<!--r:01a1ab98-7253-7baa-90d7-80d13594d08a,g:483347c1-aee6-4045-b96a-a29b2cca71b0-->
<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-20261105.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_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CoverAbstract"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentType_01a1ab98-7253-7acd-a400-e19f1c85b507" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentType"/>
    <link:presentationArc order="1" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_DocumentType_01a1ab98-7253-7acd-a400-e19f1c85b507" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_DocumentPeriodEndDate_01a1ab98-7253-7d77-8b6a-32923bdb46b4" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_DocumentPeriodEndDate"/>
    <link:presentationArc order="2" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_DocumentPeriodEndDate_01a1ab98-7253-7d77-8b6a-32923bdb46b4" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityRegistrantName_01a1ab98-7253-794f-9941-61f3eecccd4c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityRegistrantName"/>
    <link:presentationArc order="3" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityRegistrantName_01a1ab98-7253-794f-9941-61f3eecccd4c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityIncorporationStateCountryCode_01a1ab98-7253-7001-a22b-593c949dee5e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityIncorporationStateCountryCode"/>
    <link:presentationArc order="4" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityIncorporationStateCountryCode_01a1ab98-7253-7001-a22b-593c949dee5e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityFileNumber_01a1ab98-7253-7a86-9a07-7f9922672df0" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityFileNumber"/>
    <link:presentationArc order="5" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityFileNumber_01a1ab98-7253-7a86-9a07-7f9922672df0" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityTaxIdentificationNumber_01a1ab98-7253-7212-ac79-4eb78cb5cc22" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityTaxIdentificationNumber"/>
    <link:presentationArc order="6" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityTaxIdentificationNumber_01a1ab98-7253-7212-ac79-4eb78cb5cc22" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressAddressLine1_01a1ab98-7253-7257-aa22-5f2504c713f7" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressAddressLine1"/>
    <link:presentationArc order="7" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityAddressAddressLine1_01a1ab98-7253-7257-aa22-5f2504c713f7" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressCityOrTown_01a1ab98-7253-749a-98ec-30dad734277c" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressCityOrTown"/>
    <link:presentationArc order="8" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityAddressCityOrTown_01a1ab98-7253-749a-98ec-30dad734277c" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressStateOrProvince_01a1ab98-7253-7fa5-bba3-04979c1fa6fe" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressStateOrProvince"/>
    <link:presentationArc order="9" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityAddressStateOrProvince_01a1ab98-7253-7fa5-bba3-04979c1fa6fe" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityAddressPostalZipCode_01a1ab98-7253-7ef8-8ab3-dca84ab8be8e" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityAddressPostalZipCode"/>
    <link:presentationArc order="10" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityAddressPostalZipCode_01a1ab98-7253-7ef8-8ab3-dca84ab8be8e" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_CityAreaCode_01a1ab98-7253-714e-b7eb-87ef201d4025" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_CityAreaCode"/>
    <link:presentationArc order="11" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_CityAreaCode_01a1ab98-7253-714e-b7eb-87ef201d4025" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_LocalPhoneNumber_01a1ab98-7253-7735-890d-23fc0f99e8ea" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_LocalPhoneNumber"/>
    <link:presentationArc order="12" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_LocalPhoneNumber_01a1ab98-7253-7735-890d-23fc0f99e8ea" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_Security12bTitle_01a1ab98-7253-7de0-b10c-eecb988e73f6" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_Security12bTitle"/>
    <link:presentationArc order="13" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_Security12bTitle_01a1ab98-7253-7de0-b10c-eecb988e73f6" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_TradingSymbol_01a1ab98-7253-72b8-9d0b-2b96d5a8c7b5" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_TradingSymbol"/>
    <link:presentationArc order="14" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_TradingSymbol_01a1ab98-7253-72b8-9d0b-2b96d5a8c7b5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SecurityExchangeName_01a1ab98-7253-79fa-a82b-893d8e1d65aa" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SecurityExchangeName"/>
    <link:presentationArc order="15" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_SecurityExchangeName_01a1ab98-7253-79fa-a82b-893d8e1d65aa" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_WrittenCommunications_01a1ab98-7253-7713-b50f-ce261844fca1" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_WrittenCommunications"/>
    <link:presentationArc order="16" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_WrittenCommunications_01a1ab98-7253-7713-b50f-ce261844fca1" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_SolicitingMaterial_01a1ab98-7253-7980-b4d7-12b562004e94" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_SolicitingMaterial"/>
    <link:presentationArc order="17" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_SolicitingMaterial_01a1ab98-7253-7980-b4d7-12b562004e94" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementTenderOffer_01a1ab98-7253-7695-8ef2-198b1ac01453" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementTenderOffer"/>
    <link:presentationArc order="18" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_PreCommencementTenderOffer_01a1ab98-7253-7695-8ef2-198b1ac01453" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_PreCommencementIssuerTenderOffer_01a1ab98-7253-7609-9ed3-b61c72bcba5b" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_PreCommencementIssuerTenderOffer"/>
    <link:presentationArc order="19" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_PreCommencementIssuerTenderOffer_01a1ab98-7253-7609-9ed3-b61c72bcba5b" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityEmergingGrowthCompany_01a1ab98-7253-7f36-905e-a1cf9b410c85" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityEmergingGrowthCompany"/>
    <link:presentationArc order="20" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityEmergingGrowthCompany_01a1ab98-7253-7f36-905e-a1cf9b410c85" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_EntityCentralIndexKey_01a1ab98-7253-7c95-90b9-74dce3006ec5" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_EntityCentralIndexKey"/>
    <link:presentationArc order="21" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_EntityCentralIndexKey_01a1ab98-7253-7c95-90b9-74dce3006ec5" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
    <link:loc xlink:type="locator" xlink:label="loc_dei_AmendmentFlag_01a1ab98-7253-729f-a182-538fdf393813" xlink:href="https://xbrl.sec.gov/dei/2026/dei-2026.xsd#dei_AmendmentFlag"/>
    <link:presentationArc order="22" xlink:arcrole="http://www.xbrl.org/2003/arcrole/parent-child" xlink:from="loc_dei_CoverAbstract_01a1ab98-7253-7467-b7d1-5e13d101120f" xlink:to="loc_dei_AmendmentFlag_01a1ab98-7253-729f-a182-538fdf393813" xlink:type="arc" preferredLabel="http://www.xbrl.org/2003/role/terseLabel"/>
  </link:presentationLink>
</link:linkbase>
