Team:Johns Hopkins/Modeling/VitASimBio

From 2011.igem.org

VitaYeast - Johns Hopkins University, iGEM 2011

The Full Beta-Carotene Model Exported from the MATLAB SimBiology Toolbox
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  <annotation>
Created by The MathWorks, Inc. SimBiology tool, Version 3.4
</annotation>
  <model id="mw5f251816_961b_4a15_9358_e2d679cb13ae" name="Beta-Carotene Pathway">
    <listOfUnitDefinitions>
      <unitDefinition id="MWDERIVEDUNIT_micrometer___3" name="micrometer^3">
        <listOfUnits>
          <unit kind="metre" exponent="3" multiplier="1" offset="0"/>
          <unit kind="dimensionless" multiplier="1e-018" offset="0"/>
        </listOfUnits>
      </unitDefinition>
      <unitDefinition id="MWDERIVEDUNIT_molecule__second" name="molecule/second">
        <listOfUnits>
          <unit kind="mole" multiplier="1" offset="0"/>
          <unit kind="second" exponent="-1" multiplier="1" offset="0"/>
          <unit kind="dimensionless" multiplier="1.66053872801495e-024" offset="0"/>
        </listOfUnits>
      </unitDefinition>
      <unitDefinition id="MWBUILTINPREFIX_milli_MWBUILTINUNIT_molarity" name="millimolarity">
        <listOfUnits>
          <unit kind="metre" exponent="-3" multiplier="1" offset="0"/>
          <unit kind="mole" multiplier="1" offset="0"/>
          <unit kind="dimensionless" multiplier="1" offset="0"/>
        </listOfUnits>
      </unitDefinition>
      <unitDefinition id="MWDERIVEDUNIT_1__second" name="1/second">
        <listOfUnits>
          <unit kind="second" exponent="-1" multiplier="1" offset="0"/>
          <unit kind="dimensionless" multiplier="1" offset="0"/>
        </listOfUnits>
      </unitDefinition>
    </listOfUnitDefinitions>
    <listOfCompartments>
      <compartment id="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" name="c" size="37" 
units="MWDERIVEDUNIT_micrometer___3">
        <annotation>Tyson CB, Lord PG, Wheals AE. Dependency of size of Saccharomyces cerevisiae 
cells on growth rate. J Bacteriol. 1979 Apr138(1):92-8.</annotation>
      </compartment>
    </listOfCompartments>
    <listOfSpecies>
      <species id="s_id0" name="farnesyl_PP" compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" 
initialConcentration="0" substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id1" name="GGPP_synth_endo" 
compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" 
initialConcentration="1" substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id2" name="GGPP" compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" 
initialConcentration="0" 
substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id3" name="GGPP_synth_exo" 
compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" initialConcentration="1" 
substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id4" name="phytoene_synth_lycopene_cyc" 
compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" initialConcentration="1" 
substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id5" name="phytoene" 
compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" initialConcentration="0" 
substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id6" name="carotene_desat" compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" 
initialConcentration="1" substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id7" name="neurosporene" compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" 
initialConcentration="0" substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id8" name="lycopene" compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" 
initialConcentration="0" substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id9" name="hh_beta_carotene" 
compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" initialConcentration="0" 
substanceUnits="mole" spatialSizeUnits="liter"/>
      <species id="s_id10" name="beta_carotene" compartment="mw7040b0a4_f6d2_40f6_a3b4_d3ab5f710c4f" 
initialConcentration="0" substanceUnits="mole" spatialSizeUnits="liter"/>
    </listOfSpecies>
    <listOfParameters>
      <parameter id="mw3f0a1710_3497_424d_b3b8_2d41bf751c7f" name="influx" value="1000" 
units="MWDERIVEDUNIT_molecule__second">
        <notes>
          The rate that the initial substrate, farnesyl diphosphate, enters the system from the 
cell's metabolic process.
        </notes>
      </parameter>
    </listOfParameters>
    <listOfReactions>
      <reaction id="r_id11" name="GGPP_synth_endo" reversible="false" fast="false">
        <listOfReactants>
          <speciesReference species="s_id0"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="s_id2"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci> mw003af2f8_aefd_4cca_87f1_9caac7e93ee2 </ci>
                <ci> s_id1 </ci>
                <ci> s_id0 </ci>
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              <apply>
                <plus/>
                <ci> mwe59e57aa_b4b6_4a5a_8e10_eae9d0adcdc8 </ci>
                <ci> s_id0 </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="mwe59e57aa_b4b6_4a5a_8e10_eae9d0adcdc8" name="Km" value="0.0032" 
units="MWBUILTINPREFIX_milli_MWBUILTINUNIT_molarity"/>
            <parameter id="mw003af2f8_aefd_4cca_87f1_9caac7e93ee2" name="Kcat" value="0.025" 
units="MWDERIVEDUNIT_1__second"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="r_id12" name="GGPP_synth_exo" reversible="false" fast="false">
        <listOfReactants>
          <speciesReference species="s_id0"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="s_id2"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci> mw541d6b0c_24f7_4cfe_bb28_33fe2edb1773 </ci>
                <ci> s_id3 </ci>
                <ci> s_id0 </ci>
              </apply>
              <apply>
                <plus/>
                <ci> mwdb3455d4_49c2_469f_af55_87f988c0410f </ci>
                <ci> s_id0 </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="mwdb3455d4_49c2_469f_af55_87f988c0410f" name="Km" value="0.0032" 
units="MWBUILTINPREFIX_milli_MWBUILTINUNIT_molarity"/>
            <parameter id="mw541d6b0c_24f7_4cfe_bb28_33fe2edb1773" name="Kcat" value="0.125" 
units="MWDERIVEDUNIT_1__second"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="r_id13" name="phytoene_synth" reversible="false" fast="false">
        <listOfReactants>
          <speciesReference species="s_id2" stoichiometry="2"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="s_id5"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci> mw1e366017_a545_441c_af60_721e86f054b8 </ci>
                <ci> s_id4 </ci>
                <ci> s_id2 </ci>
              </apply>
              <apply>
                <plus/>
                <ci> mw33a0beab_bb7e_4248_a96d_a48681d10258 </ci>
                <ci> s_id2 </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="mw33a0beab_bb7e_4248_a96d_a48681d10258" name="Km" value="0.003" 
units="MWBUILTINPREFIX_milli_MWBUILTINUNIT_molarity"/>
            <parameter id="mw1e366017_a545_441c_af60_721e86f054b8" name="Kcat" value="0.0526" 
units="MWDERIVEDUNIT_1__second"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="r_id14" name="carotene_desat_1" reversible="false" fast="false">
        <listOfReactants>
          <speciesReference species="s_id5"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="s_id7"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci> mw77731028_4b26_4d97_8342_5301dca3fcce </ci>
                <ci> s_id6 </ci>
                <ci> s_id5 </ci>
              </apply>
              <apply>
                <plus/>
                <ci> mw30d620f2_c8c4_4fd9_ba36_8e1463321d14 </ci>
                <ci> s_id5 </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="mw30d620f2_c8c4_4fd9_ba36_8e1463321d14" name="Km" value="0.0084" 
units="MWBUILTINPREFIX_milli_MWBUILTINUNIT_molarity"/>
            <parameter id="mw77731028_4b26_4d97_8342_5301dca3fcce" name="Kcat" value="11.9665" 
units="MWDERIVEDUNIT_1__second"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="r_id15" name="carotene_desat_2" reversible="false" fast="false">
        <listOfReactants>
          <speciesReference species="s_id7"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="s_id8"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci> mwb6aad4a4_b43d_4b80_b510_b6764f3a39fe </ci>
                <ci> s_id6 </ci>
                <ci> s_id7 </ci>
              </apply>
              <apply>
                <plus/>
                <ci> mwcbc0263c_f9cc_48b9_b259_1e9163d1d7eb </ci>
                <ci> s_id7 </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="mwcbc0263c_f9cc_48b9_b259_1e9163d1d7eb" name="Km" value="0.009" 
units="MWBUILTINPREFIX_milli_MWBUILTINUNIT_molarity"/>
            <parameter id="mwb6aad4a4_b43d_4b80_b510_b6764f3a39fe" name="Kcat" value="0.9703" 
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          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="r_id16" name="neurosporene_cyc" reversible="false" fast="false">
        <listOfReactants>
          <speciesReference species="s_id7"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="s_id9"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
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                <times/>
                <ci> mw79b04e99_541a_4226_ace9_e51670a4b391 </ci>
                <ci> s_id4 </ci>
                <ci> s_id7 </ci>
              </apply>
              <apply>
                <plus/>
                <ci> mw9807c1ba_754a_4354_b534_a3b08ae46ae5 </ci>
                <ci> s_id7 </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="mw9807c1ba_754a_4354_b534_a3b08ae46ae5" name="Km" value="0.009" 
units="MWBUILTINPREFIX_milli_MWBUILTINUNIT_molarity"/>
            <parameter id="mw79b04e99_541a_4226_ace9_e51670a4b391" name="Kcat" value="0.3881" 
units="MWDERIVEDUNIT_1__second"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="r_id17" name="lycopene_cyc" reversible="false" fast="false">
        <listOfReactants>
          <speciesReference species="s_id8"/>
        </listOfReactants>
        <listOfProducts>
          <speciesReference species="s_id10"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci> mw768530de_187e_4d3d_9f5f_7e44a709c8c8 </ci>
                <ci> s_id4 </ci>
                <ci> s_id8 </ci>
              </apply>
              <apply>
                <plus/>
                <ci> mwe5f70a46_a0c6_4519_91ce_2f483e829edd </ci>
                <ci> s_id8 </ci>
              </apply>
            </apply>
          </math>
          <listOfParameters>
            <parameter id="mwe5f70a46_a0c6_4519_91ce_2f483e829edd" name="Km" value="0.0018" 
units="MWBUILTINPREFIX_milli_MWBUILTINUNIT_molarity"/>
            <parameter id="mw768530de_187e_4d3d_9f5f_7e44a709c8c8" name="Kcat" value="0.00038623" 
units="MWDERIVEDUNIT_1__second"/>
          </listOfParameters>
        </kineticLaw>
      </reaction>
      <reaction id="mw1250a319_faa6_40be_934c_eaec51d62ada" name="initial_substrate_creation" 
reversible="false" fast="false">
        <listOfProducts>
          <speciesReference species="s_id0"/>
        </listOfProducts>
        <kineticLaw>
          <math xmlns="http://www.w3.org/1998/Math/MathML">
            <ci> mw3f0a1710_3497_424d_b3b8_2d41bf751c7f </ci>
          </math>
        </kineticLaw>
      </reaction>
    </listOfReactions>
  </model>
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