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     <p>The paper describes a model of antitumor vaccine therapy.
Created by COPASI 4.25 (Build 207) 

This model is described in the article: 
A Mathematical Model of the Enhancement of Tumor Vaccine Efficacy by Immunotherapy
Shelby Wilson and Doron Levy
Bull Math Biol. 2012 July ; 74(7)

Abstract: 
TGF-β is an immunoregulatory protein that contributes to inadequate antitumor immune responses in cancer patients. Recent experimental data suggests that TGF-β inhibition alone, provides few clinical benefits, yet it can significantly amplify the anti-tumor immune response when combined with a tumor vaccine. We develop a mathematical model in order to gain insight into the cooperative interaction between anti-TGF-β and vaccine treatments. The mathematical model follows the dynamics of the tumor size, TGF-β concentration, activated cytotoxic effector cells, and regulatory T cells. Using numerical simulations and stability analysis, we study the following scenarios: a control case of no treatment, anti-TGF-β treatment, vaccine treatment, and combined anti-TGF-β vaccine treatments. We show that our model is capable of capturing the observed experimental results, and hence can be potentially used in designing future experiments involving this approach to immunotherapy.

To cite BioModels Database, please use: BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models . 
To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. 
Please refer to CC0 Public Domain Dedication for more information.</p>
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          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI5">
                <bqbiol:isPropertyOf rdf:resource="urn:miriam:cl:CL:0000815"/>
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:24:40Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </species>
      <species boundaryCondition="false" compartment="tme" constant="false" hasOnlySubstanceUnits="false" id="V" initialConcentration="0" metaid="COPASI6" name="V" substanceUnits="substance">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>vaccine stimulated T cell</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI6">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/cl/CL:0000911"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI6">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:24:41Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:cl:CL:0000911"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </species>
    </listOfSpecies>
    <listOfParameters>
      <parameter constant="true" id="g0" metaid="COPASI7" name="g0" units="unit_0" value="0">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>0 or 5000
vaccine dose</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI7">
	<bqbiol:isPartOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C25488"/>
	</rdf:Bag>
	</bqbiol:isPartOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI7">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:25:05Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isPartOf rdf:resource="urn:miriam:ncit:C25488"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="a0" metaid="COPASI8" name="a0" units="unit_1" value="0.1946">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>tumor growth rate</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI8">
	<bqbiol:isPropertyOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000610"/>
	</rdf:Bag>
	</bqbiol:isPropertyOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI8">
                <bqbiol:isPropertyOf rdf:resource="urn:miriam:sbo:SBO:0000610"/>
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:14Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="false" id="c0" metaid="COPASI9" name="c0" units="unit_0" value="0.002710027100271">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>tumor carrying capacity inversed</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI9">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000661"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI9">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:15Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000661"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="d0" metaid="COPASI10" name="d0" units="unit_1" value="1E-5">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>effector T-cell induced tumor death rate/removal rate of CTLs by Tregs</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI10">
	<bqbiol:isPropertyOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C25636"/>
	</rdf:Bag>
	</bqbiol:isPropertyOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI10">
                <bqbiol:isPropertyOf rdf:resource="urn:miriam:ncit:C25636"/>
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:16Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="c1" metaid="COPASI11" name="c1" units="unit_0" value="100">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>TGF-β inhibitory parameter for CTL induction of tumor death</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI11">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C48922"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI11">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:18Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C48922"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="a1" metaid="COPASI12" name="a1" units="unit_1" value="0.3">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>maximal production rate of TGF-β</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI12">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C25636"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI12">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:20Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C25636"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="c2" metaid="COPASI13" name="c2" units="unit_0" value="300">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>steepness coefficient of TGF-β production</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI13">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C48922"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI13">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:21Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C48922"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="d" metaid="COPASI14" name="d" units="unit_1" value="0.0007">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>degradation rate of TGF-β</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI14">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C25636"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI14">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:23Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C25636"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="f" metaid="COPASI15" name="f" units="unit_1" value="0.62">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>tumor antigenicity rate</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI15">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C25636"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI15">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:24Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C25636"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="c3" metaid="COPASI16" name="c3" units="unit_0" value="300">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>combined tumor growth and TGF-β inhibitory parameter for activation of CTLs</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI16">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C48922"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI16">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:25Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C48922"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="r" metaid="COPASI17" name="r" units="unit_1" value="0.01">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>rate of effector T cells that become regulatory T cells</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI17">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C25636"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI17">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:27Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C25636"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="d1" metaid="COPASI18" name="d1" units="unit_1" value="1E-5">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>natural death of CTLs, Vaccine cells, and Tregs</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI18">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C25636"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI18">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:26:31Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C25636"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="c0inv" metaid="COPASI19" name="c0inv" units="unit_0" value="369">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>tumor carrying capacity</pre>
          </body>
        </notes>
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI19">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000661"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI19">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:27:24Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000661"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
    </listOfParameters>
    <listOfRules>
      <assignmentRule variable="c0">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <cn> 1 </cn>
            <ci> c0inv </ci>
          </apply>
        </math>
            </assignmentRule>
    </listOfRules>
    <listOfReactions>
      <reaction fast="false" id="tumor_growth" metaid="COPASI21" name="tumor growth" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI21">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0008283"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000393"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI21">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:38:56Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0008283"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000393"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfProducts>
          <speciesReference constant="true" species="T" stoichiometry="1"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> tg </ci>
                <ci> a0 </ci>
                <ci> T </ci>
                <ci> c0 </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="tumor_immune" metaid="COPASI22" name="tumor immune" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI22">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000179"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0002419"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI22">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:39:07Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0002419"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000179"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="T" stoichiometry="1"/>
        </listOfReactants>
        <listOfModifiers>
          <modifierSpeciesReference species="E"/>
          <modifierSpeciesReference species="B"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> imm </ci>
                <ci> d0 </ci>
                <ci> E </ci>
                <ci> T </ci>
                <ci> c1 </ci>
                <ci> B </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="tumor_immune_induced" metaid="COPASI23" name="tumor immune-induced" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI23">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0002419"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000179"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI23">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:39:13Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0002419"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000179"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="T" stoichiometry="1"/>
        </listOfReactants>
        <listOfModifiers>
          <modifierSpeciesReference species="V"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> induced </ci>
                <ci> d0 </ci>
                <ci> T </ci>
                <ci> V </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="tgfb_secretion" metaid="COPASI24" name="tgfb secretion" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI24">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000393"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0050663"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI24">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:39:22Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0050663"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000393"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfProducts>
          <speciesReference constant="true" species="B" stoichiometry="1"/>
        </listOfProducts>
        <listOfModifiers>
          <modifierSpeciesReference species="T"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> tgfb </ci>
                <ci> a1 </ci>
                <ci> T </ci>
                <ci> c2 </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="tgfb_decay" metaid="COPASI25" name="tgfb decay" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI25">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000179"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0030163"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI25">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:39:26Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0030163"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000179"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="B" stoichiometry="1"/>
        </listOfReactants>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <ci> d </ci>
              <ci> B </ci>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="effector_stimulation" metaid="COPASI26" name="effector stimulation" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI26">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0008283"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000393"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI26">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:39:32Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0008283"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000393"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfProducts>
          <speciesReference constant="true" species="E" stoichiometry="1"/>
        </listOfProducts>
        <listOfModifiers>
          <modifierSpeciesReference species="T"/>
          <modifierSpeciesReference species="B"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> es </ci>
                <ci> f </ci>
                <ci> E </ci>
                <ci> T </ci>
                <ci> c3 </ci>
                <ci> B </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="effector_death" metaid="COPASI27" name="effector death" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI27">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0008219"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000179"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI27">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:39:35Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0008219"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000179"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="E" stoichiometry="1"/>
        </listOfReactants>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <ci> d1 </ci>
              <ci> E </ci>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="effector_regulation" metaid="COPASI28" name="effector regulation" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI28">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0008219"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000179"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI28">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:39:45Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0008219"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000179"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="E" stoichiometry="1"/>
        </listOfReactants>
        <listOfModifiers>
          <modifierSpeciesReference species="R"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> er </ci>
                <ci> d0 </ci>
                <ci> R </ci>
                <ci> E </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="effector_conversion" metaid="COPASI29" name="effector conversion" reversible="false">
        <annotation>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI29">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:40:00Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="E" stoichiometry="1"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference constant="true" species="R" stoichiometry="1"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <ci> r </ci>
              <ci> E </ci>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="Treg_death" metaid="COPASI30" name="Treg death" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI30">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0008219"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000179"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI30">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:40:06Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0008219"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000179"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="R" stoichiometry="1"/>
        </listOfReactants>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <ci> d1 </ci>
              <ci> R </ci>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="vaccine_decay" metaid="COPASI31" name="vaccine decay" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI31">
              <bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000179"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0008219"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI31">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T13:40:12Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:go:GO:0008219"/>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000179"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="V" stoichiometry="1"/>
        </listOfReactants>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <ci> d1 </ci>
              <ci> V </ci>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
    </listOfReactions>
    <listOfEvents>
      <event id="vaccine_administration" metaid="COPASI20" name="vaccine administration" useValuesFromTriggerTime="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard4="http://www.w3.org/2006/vcard/ns#" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/" xmlns:bqmodel="http://biomodels.net/model-qualifiers/">
            <rdf:Description rdf:about="#COPASI20">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C923"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
	
	
          </rdf:RDF>
          <COPASI xmlns="http://www.copasi.org/static/sbml">
            <rdf:RDF xmlns:CopasiMT="http://www.copasi.org/RDF/MiriamTerms#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
              <rdf:Description rdf:about="#COPASI20">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-12T11:24:55Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C923"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <trigger initialValue="false" persistent="false">
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <geq/>
              <csymbol encoding="text" definitionURL="http://www.sbml.org/sbml/symbols/time"> time </csymbol>
              <cn> 3 </cn>
            </apply>
          </math>
                </trigger>
        <listOfEventAssignments>
          <eventAssignment variable="V">
            <math xmlns="http://www.w3.org/1998/Math/MathML">            
              <ci> g0 </ci>
            </math>
                    </eventAssignment>
        </listOfEventAssignments>
      </event>
    </listOfEvents>
  </model>
</sbml>