<?xml version="1.0" encoding="UTF-8"?>
<sbml xmlns="http://www.sbml.org/sbml/level2" level="2" version="1">
  <model id="Model2" name="Case Study 1, Model 2 (Simplistic)">
    <listOfFunctionDefinitions>
      <functionDefinition id="HMM">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <lambda>
            <bvar>
              <ci> substrate </ci>
            </bvar>
            <bvar>
              <ci> Km </ci>
            </bvar>
            <bvar>
              <ci> V </ci>
            </bvar>
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci> V </ci>
                <ci> substrate </ci>
              </apply>
              <apply>
                <plus/>
                <ci> Km </ci>
                <ci> substrate </ci>
              </apply>
            </apply>
          </lambda>
        </math>
      </functionDefinition>
      <functionDefinition id="EXPLE">
        <math xmlns="http://www.w3.org/1998/Math/MathML">
          <lambda>
            <bvar>
              <ci> V </ci>
            </bvar>
            <bvar>
              <ci> substrate </ci>
            </bvar>
            <bvar>
              <ci> modifier </ci>
            </bvar>
            <bvar>
              <ci> Km </ci>
            </bvar>
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci> V </ci>
                <ci> substrate </ci>
                <ci> modifier </ci>
              </apply>
              <apply>
                <plus/>
                <ci> Km </ci>
                <ci> substrate </ci>
              </apply>
            </apply>
          </lambda>
        </math>
      </functionDefinition>
    </listOfFunctionDefinitions>
    <listOfCompartments>
      <compartment id="compartment" name="compartment" size="1"/>
    </listOfCompartments>
    <listOfSpecies>
      <species id="S" name="S" compartment="compartment" initialConcentration="1"/>
      <species id="dS" name="dS" compartment="compartment" initialConcentration="0"/>
      <species id="R" name="R" compartment="compartment" initialConcentration="1"/>
      <species id="Rpp" name="Rpp" compartment="compartment" initialConcentration="0"/>
    </listOfSpecies>
    <listOfParameters>
      <parameter id="Noise" value="0.4"/>
    </listOfParameters>
    <listOfReactions>
      <reaction id="reaction_0" name="R1" reversible="false">
        <listOfReactants>
          <speciesReference species="S"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="dS"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <times/>
              <ci> compartment </ci>
              <ci> k1 </ci>
              <ci> S </ci>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="k1" value="0.1"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="reaction_1" name="R2" reversible="false">
        <listOfReactants>
          <speciesReference species="R"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="Rpp"/>
        </listOfProducts>
        <listOfModifiers>
          <modifierSpeciesReference species="S"/>
        </listOfModifiers>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <times/>
              <ci> compartment </ci>
              <apply>
                <ci> EXPLE </ci>
                <ci> V </ci>
                <ci> R </ci>
                <ci> S </ci>
                <ci> Km </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="V" value="0.1"/>
            <parameter id="Km" value="0.1"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="reaction_2" name="R3" reversible="false">
        <listOfReactants>
          <speciesReference species="Rpp"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="R"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <times/>
              <ci> compartment </ci>
              <apply>
                <ci> HMM </ci>
                <ci> Rpp </ci>
                <ci> Km </ci>
                <ci> V </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="Km" value="0.1"/>
            <parameter id="V" value="0.1"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
    </listOfReactions>
  </model>
</sbml>
