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     <p>The paper describes a model of oncolytic virotherapy. 
Created by COPASI 4.25 (Build 207) 

This model is described in the article: 
A mathematical model verifying potent oncolytic efficacy of M1 virus
Zizi Wang, Zhiming Guo, Huaqin Peng 
Mathematical Biosciences 276 (2016) 19–27

Abstract: 
Motivated by the latest findings in a recent medical experiment [19] which identify a naturally occurring alphavirus (M1) as a novel selective killer targeting zinc-finger antiviral protein (ZAP)-deficient cancer cells, we propose a mathematical model to illustrate the growth of normal cells, tumor cells and the M1 virus with limited nutrient. In order to better understand biological mechanisms, we discuss two cases of the model: without competition and with competition. In the first part, the explicit threshold condi- tions for the persistence of normal cells (or tumor cells) is obtained accompanying with the biological explanations. The second part indicates that when competing with tumor cells, the normal cells will ex- tinct if M1 virus is ignored; Whereas, when M1 virus is considered, the growth trend of normal cells is similar to the one without competition. And by using uniformly strong repeller theorem, the minimum effective dosage of medication is explicitly found which is not reported in [19]. Furthermore, numerical simulations and corresponding biological interpretations are given to support our results.

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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            <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>2019-08-06T13:16:12Z</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="u1" metaid="COPASI7" name="u1" units="unit_0" value="0.2">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>growth rate of normal 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="#COPASI7">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000610"/>
	</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="#COPASI7">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:16:13Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000610"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="u2" metaid="COPASI8" name="u2" units="unit_0" value="0.5">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>growth rate of tumor</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:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/sbo/SBO:0000610"/>
	</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="#COPASI8">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:16:14Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:sbo:SBO:0000610"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="r1" metaid="COPASI9" name="r1" units="unit_0" value="0.8">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>yield constant of nutrient to biomass of normal 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="#COPASI9">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/ncit/C84380"/>
	</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>2019-08-06T13:16:16Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C84380"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="e1" metaid="COPASI10" name="e1" units="unit_0" value="0.01">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>death rate of normal 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="#COPASI10">
	<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="#COPASI10">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:16:18Z</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="r2" metaid="COPASI11" name="r2" units="unit_0" value="0.8">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>yield constant of nutrient to biomass of tumor</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/C84380"/>
	</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>2019-08-06T13:16:20Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C84380"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="true" id="e2" metaid="COPASI12" name="e2" units="unit_0" value="0.008">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>death rate of tumor</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: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="#COPASI12">
                <bqbiol:isPropertyOf rdf:resource="urn:miriam:ncit:C25636"/>
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:16:23Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="false" id="Q1" metaid="COPASI13" name="Q1" units="unit_0" value="5.33333333333333">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>absorbing number</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/C84380"/>
	</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>2019-08-06T13:21:39Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C84380"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
      <parameter constant="false" id="Q2" metaid="COPASI14" name="Q2" units="unit_0" value="14.2857142857143">
        <notes>
          <body xmlns="http://www.w3.org/1999/xhtml">
            <pre>absorbing number</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/C84380"/>
	</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>2019-08-06T13:22:53Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
                <CopasiMT:isVersionOf rdf:resource="urn:miriam:ncit:C84380"/>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
            </parameter>
    </listOfParameters>
    <listOfRules>
      <assignmentRule variable="Q1">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> a </ci>
              <ci> r1 </ci>
              <ci> u1 </ci>
            </apply>
            <apply>
              <times/>
              <ci> d </ci>
              <apply>
                <plus/>
                <ci> d </ci>
                <ci> e1 </ci>
              </apply>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule variable="Q2">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> a </ci>
              <ci> r2 </ci>
              <ci> u2 </ci>
            </apply>
            <apply>
              <times/>
              <ci> d </ci>
              <apply>
                <plus/>
                <ci> d </ci>
                <ci> e2 </ci>
              </apply>
            </apply>
          </apply>
        </math>
            </assignmentRule>
    </listOfRules>
    <listOfReactions>
      <reaction fast="false" id="nutrient_supply" metaid="COPASI15" name="nutrient supply" 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="#COPASI15">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:35:03Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfProducts>
          <speciesReference constant="true" species="S" stoichiometry="1"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> Constant_flux__irreversible </ci>
                <ci> a </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="nutrient_decay" metaid="COPASI16" name="nutrient decay" 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="#COPASI16">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:35:06Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="S" stoichiometry="1"/>
        </listOfReactants>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <ci> d </ci>
              <ci> S </ci>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="nutrient_consumption_N" metaid="COPASI17" name="nutrient consumption N" 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="#COPASI17">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:35:14Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="S" stoichiometry="1"/>
        </listOfReactants>
        <listOfModifiers>
          <modifierSpeciesReference species="N"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> decrease </ci>
                <ci> u1 </ci>
                <ci> S </ci>
                <ci> N </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="nutrient_consumption_T" metaid="COPASI18" name="nutrient consumption T" 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="#COPASI18">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:35:21Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="S" stoichiometry="1"/>
        </listOfReactants>
        <listOfModifiers>
          <modifierSpeciesReference species="T"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> decrease </ci>
                <ci> u2 </ci>
                <ci> S </ci>
                <ci> T </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="normal_cell_growth" metaid="COPASI19" name="normal cell growth" 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="#COPASI19">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:35:26Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfProducts>
          <speciesReference constant="true" species="N" stoichiometry="1"/>
        </listOfProducts>
        <listOfModifiers>
          <modifierSpeciesReference species="S"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> growth </ci>
                <ci> r1 </ci>
                <ci> S </ci>
                <ci> N </ci>
                <ci> u1 </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="normal_cell_death" metaid="COPASI20" name="normal cell death" 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="#COPASI20">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:35:30Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="N" stoichiometry="1"/>
        </listOfReactants>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> death </ci>
                <ci> d </ci>
                <ci> e1 </ci>
                <ci> N </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="tumor_growth" metaid="COPASI21" name="tumor growth" 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="#COPASI21">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:35:32Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfProducts>
          <speciesReference constant="true" species="T" stoichiometry="1"/>
        </listOfProducts>
        <listOfModifiers>
          <modifierSpeciesReference species="S"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> growth </ci>
                <ci> r2 </ci>
                <ci> S </ci>
                <ci> T </ci>
                <ci> u2 </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
      <reaction fast="false" id="tumor_death" metaid="COPASI22" name="tumor death" 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="#COPASI22">
                <dcterms:created>
                  <rdf:Description>
                    <dcterms:W3CDTF>2019-08-06T13:35:35Z</dcterms:W3CDTF>
                  </rdf:Description>
                </dcterms:created>
              </rdf:Description>
            </rdf:RDF>
          </COPASI>
        </annotation>
              <listOfReactants>
          <speciesReference constant="true" species="T" stoichiometry="1"/>
        </listOfReactants>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">          
            <apply>
              <times/>
              <ci> tme </ci>
              <apply>
                <ci> death </ci>
                <ci> d </ci>
                <ci> e2 </ci>
                <ci> T </ci>
              </apply>
            </apply>
          </math>
                </kineticLaw>
      </reaction>
    </listOfReactions>
  </model>
</sbml>