Location: Tyson, 1991 @ 3d52aaeea4b1 / tyson_1991.cellml

Author:
Hanne <Hanne@hanne-nielsens-macbook.local>
Date:
2009-12-15 11:16:53+13:00
Desc:
Added images in ai and svg format, removed non pub medreferences
Permanent Source URI:
https://staging.physiomeproject.org/workspace/tyson_1991/rawfile/3d52aaeea4b148c17e0eeec900566cd871a46163/tyson_1991.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  tyson_model_1991.xml

CREATED :  29th May 2007

LAST MODIFIED : 29th May 2007

AUTHOR :  Catherine Lloyd
          Bioengineering Institute
          The University of Auckland
          
MODEL STATUS :  This model conforms to the CellML 1.1 Specification.

DESCRIPTION :  This file contains a CellML description of John Tyson's
1991 model of the cell division cycle.

CHANGES:  
  
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:NS5="http://www.cellml.org/metadata/simulation/1.0#" xmlns:RDF="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:NS7="http://www.cellml.org/bqs/1.0#" xmlns:NS1="http://purl.org/dc/terms/" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:NS2="http://purl.org/dc/elements/1.1/" xmlns:NS3="http://imc.org/vCard/3.0#" xmlns:NS4="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" xmlns:NS6="http://www.cellml.org/metadata/1.0#" xmlns:ns7="http://www.cellml.org/metadata/simulation/1.0#" cmeta:id="tyson_model_1991_version02" name="tyson_1991_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Modelling the Cell Division Cycle: cdc2 and Cyclin Interactions</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
        This CellML version of the model has been checked in COR and PCEnv and the model runs to replicate the results in the original published paper.  The units have been checked and are consistent.  A PCEnv session file which reproduces Fig3a from the publication is also available for this model.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
The cell cycle is an ordered set of events which results in cell growth and division into two identical daughter cells (somatic cell division).  This sequence of specific events includes cell growth, protein, DNA, and organelle replication, and nuclear (chromosomes separate during mitosis) and cellular (the cytoplasm divides during cytokinesis) division.  The control of cell division, and thus tissue growth, is complex.  Maturation promoting factor (MPF) plays an important role in the control of the cell cycle.  This enzyme is a heterodimer composed of cyclin and a protein kinase called cdc2.  The interplay between cyclin and cdc2 in generating MPF activity is understood in some detail (see the figure below).  Cyclin and cdc2 bind to form an inactive MPF complex.  This complex is then activated by auto-dephosphorylation of the cdc2 subunit.  Active MPF stimulates several processes which are known to be essential for nuclear and cell division.  MPF then dissociates and cyclin is degraded.  The cycle then repeats itself.         </para>

<para>
In a study published by John Tyson in 1991, a mathematical model of the cell cycle is developed.  The author acknowledges that the model is a simplification of the real biological situation, but he explains that it is a sufficient first approximation to the cell cycle regulatory network.  Agreement between experimental data and simulation results provide support for the overall scheme of the model, even if specific details are questioned.  However, as understanding of the mechanisms underlying cell cycle regulation improves, mathematical models will play an increasingly important role in integrating molecular level events with cell level division.  
</para>

<para>
The complete original paper reference is cited below:
</para>

<para>
Modeling the cell division cycle: cdc2 and cyclin interactions</ulink>, John J. Tyson, 1991, <emphasis>Proceedings of the National Academy of Sciences</emphasis>, 88, 7328-7332.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=1831270&amp;dopt=Abstract">PubMed ID: 1831270</ulink> 
</para>

<informalfigure float="0" id="fig_cell_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>cell diagram</title>
    </objectinfo>
    <imagedata fileref="tyson_1991.png"/>
  </imageobject>
</mediaobject>
<caption>A schematic diagram of the interactions between cyclin and cdc2 during the cell cycle.</caption>
</informalfigure>

</sect1>
</article>
</documentation>
  
  
  
  
  <units name="millimolar">
    <unit units="mole" prefix="milli"/>
    <unit units="litre" exponent="-1"/>
  </units>
  
  <units name="minute">
    <unit units="second" multiplier="60.0"/>
  </units>
  
  <units name="first_order_rate_constant">
    <unit units="minute" exponent="-1"/>
  </units>
  
  <units name="second_order_rate_constant">
    <unit units="millimolar" exponent="-1"/>
    <unit units="minute" exponent="-1"/>
  </units>
  
  
  <component name="environment">
    <variable units="minute" public_interface="out" cmeta:id="environment_time" name="time"/>
  </component>
  
  
  <component cmeta:id="C2" name="C2">
     
    <variable units="millimolar" public_interface="out" name="C2" initial_value="0.001"/> 
      
    <variable units="first_order_rate_constant" public_interface="in" name="k6"/>
    <variable units="second_order_rate_constant" public_interface="in" name="k8"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k9"/>
    <variable units="millimolar" public_interface="in" name="M"/>
    <variable units="millimolar" public_interface="in" name="P"/>
    <variable units="millimolar" public_interface="in" name="CP"/>
    <variable units="minute" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> C2 </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> k6 </ci>
              <ci> M </ci>
            </apply>
            <apply>
              <times/>
              <ci> k9 </ci>
              <ci> CP </ci>
            </apply>
          </apply>
          <apply>
            <times/> 
            <ci> k8 </ci>
            <ci> P </ci>
            <ci> C2 </ci>
          </apply>
        </apply>  
      </apply> 
    </math> 
  </component>
  
  <component cmeta:id="CP" name="CP">
    <rdf:RDF>
      <rdf:Description rdf:about="CP">
        <dc:title>CP</dc:title>
        <dcterms:alternative>cdc2-P</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="CP" initial_value="0.001"/> 
      
    <variable units="second_order_rate_constant" public_interface="in" name="k3"/>
    <variable units="second_order_rate_constant" public_interface="in" name="k8"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k9"/>
    <variable units="millimolar" public_interface="in" name="Y"/>
    <variable units="millimolar" public_interface="in" name="P"/>
    <variable units="millimolar" public_interface="in" name="C2"/>
    <variable units="minute" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> CP </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/> 
            <ci> k8 </ci>
            <ci> P </ci>
            <ci> C2 </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> k9 </ci>
              <ci> CP </ci>
            </apply>
            <apply>
              <times/>
              <ci> k3 </ci>
              <ci> CP </ci>
              <ci> Y </ci>
            </apply>
          </apply>
        </apply>  
      </apply> 
    </math> 
  </component>
  
  <component cmeta:id="pM" name="pM">
    <rdf:RDF>
      <rdf:Description rdf:about="pM">
        <dc:title>pM</dc:title>
        <dcterms:alternative>preMPF</dcterms:alternative>
        <dcterms:alternative>P-cyclin-cdc2-P</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="pM" initial_value="0.001"/> 
      
    <variable units="second_order_rate_constant" public_interface="in" name="k3"/>
    <variable units="second_order_rate_constant" public_interface="in" name="k5"/>
    <variable units="first_order_rate_constant" public_interface="in" name="F"/>
    <variable units="millimolar" public_interface="in" name="Y"/>
    <variable units="millimolar" public_interface="in" name="P"/>
    <variable units="millimolar" public_interface="in" name="M"/>
    <variable units="millimolar" public_interface="in" name="CP"/>
    <variable units="minute" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> pM </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> k3 </ci>
              <ci> CP </ci>
              <ci> Y </ci>
            </apply>
            <apply>
              <times/>
              <ci> k5 </ci>
              <ci> P </ci>
              <ci> M </ci>
            </apply>
          </apply>
          <apply>
            <times/> 
            <ci> pM </ci>
            <ci> F </ci>
          </apply>
        </apply>  
      </apply> 
    </math> 
  </component>
  
  <component cmeta:id="M" name="M">
    <rdf:RDF>
      <rdf:Description rdf:about="M">
        <dc:title>M</dc:title>
        <dcterms:alternative>active MPF</dcterms:alternative>
        <dcterms:alternative>P-cyclin-cdc2</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="M" initial_value="0.001"/> 
      
    <variable units="second_order_rate_constant" public_interface="in" name="k5"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k6"/>
    <variable units="first_order_rate_constant" public_interface="in" name="F"/>
    <variable units="millimolar" public_interface="in" name="pM"/>
    <variable units="millimolar" public_interface="in" name="P"/>
    <variable units="minute" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> M </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/> 
            <ci> pM </ci>
            <ci> F </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> k5 </ci>
              <ci> P </ci>
              <ci> M </ci>
            </apply>
            <apply>
              <times/>
              <ci> k6 </ci>
              <ci> M </ci>
            </apply>
          </apply>
        </apply>  
      </apply> 
    </math> 
  </component>
  
  <component cmeta:id="Y" name="Y">
    <rdf:RDF>
      <rdf:Description rdf:about="Y">
        <dc:title>Y</dc:title>
        <dcterms:alternative>cyclin</dcterms:alternative>
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="Y" initial_value="0.001"/> 
    
    <variable units="first_order_rate_constant" public_interface="in" name="k1"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k2"/>
    <variable units="second_order_rate_constant" public_interface="in" name="k3"/>
    <variable units="millimolar" public_interface="in" name="aa"/>
    <variable units="millimolar" public_interface="in" name="CP"/>
    <variable units="minute" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> Y </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/> 
            <ci> aa </ci>
            <ci> k1 </ci>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> k3 </ci>
              <ci> CP </ci>
              <ci> Y </ci>
            </apply>
            <apply>
              <times/>
              <ci> k2 </ci>
              <ci> Y </ci>
            </apply>
          </apply>
        </apply>  
      </apply> 
    </math> 
  </component>
  
  <component cmeta:id="YP" name="YP">
    <rdf:RDF>
      <rdf:Description rdf:about="YP">
        <dc:title>YP</dc:title>
        <dcterms:alternative>cyclin-P</dcterms:alternative>
      </rdf:Description>
    </rdf:RDF> 
    <variable units="millimolar" public_interface="out" name="YP" initial_value="0.001"/> 
    
    <variable units="first_order_rate_constant" public_interface="in" name="k6"/>
    <variable units="first_order_rate_constant" public_interface="in" name="k7"/>
    <variable units="millimolar" public_interface="in" name="M"/>
    <variable units="minute" public_interface="in" name="time"/> 
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> YP </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/> 
            <ci> k6 </ci>
            <ci> M </ci>
          </apply>
          <apply>
            <times/>
            <ci> k7 </ci>
            <ci> YP </ci>
          </apply>
        </apply>  
      </apply> 
    </math> 
  </component>
  
  <component name="reaction_constants">
    <variable units="first_order_rate_constant" public_interface="out" name="k1"/>
    <variable units="first_order_rate_constant" public_interface="out" name="k2" initial_value="0.0"/>
    <variable units="second_order_rate_constant" public_interface="out" name="k3"/>
    <variable units="first_order_rate_constant" public_interface="out" name="k4" initial_value="180.0"/>
    <variable units="second_order_rate_constant" public_interface="out" name="k5"/>
    <variable units="first_order_rate_constant" public_interface="out" name="k6" initial_value="1.0"/>
    <variable units="first_order_rate_constant" public_interface="out" name="k7" initial_value="0.6"/>
    <variable units="second_order_rate_constant" public_interface="out" name="k8"/>
    <variable units="first_order_rate_constant" public_interface="out" name="k9" initial_value="100.0"/>
    <variable units="first_order_rate_constant" public_interface="out" name="F"/>
    <variable units="millimolar" public_interface="out" name="aa" initial_value="1.0"/>
    <variable units="millimolar" public_interface="out" name="P" initial_value="1.0"/>
    
    <variable units="first_order_rate_constant" name="k4_" initial_value="0.018"/>
    <variable units="millimolar" name="CT"/>
    <variable units="millimolar" name="YT"/>
    <variable units="dimensionless" cmeta:id="reaction_constants_YT_CT" name="YT_CT"/>
    <variable units="dimensionless" cmeta:id="reaction_constants_M_CT" name="M_CT"/>
    
    <variable units="millimolar" public_interface="in" name="C2"/>
    <variable units="millimolar" public_interface="in" name="CP"/> 
    <variable units="millimolar" public_interface="in" name="pM"/> 
    <variable units="millimolar" public_interface="in" name="M"/>
    <variable units="millimolar" public_interface="in" name="Y"/> 
    <variable units="millimolar" public_interface="in" name="YP"/> 

    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply id="CT_calculation">
        <eq/>
        <ci> CT </ci>
        <apply>
          <plus/>
          <ci> C2 </ci>
          <ci> CP </ci>
          <ci> pM </ci>
          <ci> M </ci>
        </apply>
      </apply>

      <apply id="YT_calculation">
        <eq/>
        <ci> YT </ci>
        <apply>
          <plus/>
          <ci> Y </ci>
          <ci> YP </ci>
          <ci> pM </ci>
          <ci> M </ci>
        </apply>
      </apply>

      <apply id="YT_CT_calculation">
        <eq/>
        <ci> YT_CT </ci>
        <apply>
          <divide/>
          <ci> YT </ci>
          <ci> CT </ci>
        </apply>
      </apply>

      <apply id="M_CT_calculation">
        <eq/>
        <ci> M_CT </ci>
        <apply>
          <divide/>
          <ci> M </ci>
          <ci> CT </ci>
        </apply>
      </apply>   
      
      <apply id="k1_calculation">
        <eq/>
        <ci> k1 </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <cn cellml:units="first_order_rate_constant"> 0.015 </cn>
            <ci> CT </ci>
          </apply>
          <ci> aa </ci>
        </apply>
      </apply>
      
      <apply id="k3_calculation">
        <eq/>
        <ci> k3 </ci>
        <apply>
          <divide/>
          <cn cellml:units="first_order_rate_constant"> 200.0 </cn>
          <ci> CT </ci>
        </apply>
      </apply>
      
      <apply id="F_calculation">
        <eq/>
        <ci> F </ci>
        <apply>
          <plus/>
          <ci> k4_ </ci>
          <apply>
            <times/>
            <ci> k4 </ci>
            <apply>
              <power/>
              <apply>
                <divide/>
                <ci> M </ci>
                <ci> CT </ci>
              </apply>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
        </apply>
      </apply>
      
      <apply id="k5_calculation">
        <eq/>
        <ci> k5 </ci>
        <apply>
          <divide/>
          <cn cellml:units="first_order_rate_constant"> 0.0 </cn>
          <ci> P </ci>
        </apply>
      </apply>

      <apply id="k8_calculation">
        <eq/>
        <ci> k8 </ci>
        <apply>
          <divide/>
          <ci> k9 </ci>
          <ci> P </ci>
        </apply>
      </apply>
    </math>
  </component>
  
  <connection>
    <map_components component_2="environment" component_1="C2"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="CP"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="pM"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="M"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="Y"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="YP"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="M" component_1="C2"/>
    <map_variables variable_2="M" variable_1="M"/>
  </connection>
  
  <connection>
    <map_components component_2="CP" component_1="C2"/>
    <map_variables variable_2="C2" variable_1="C2"/>
    <map_variables variable_2="CP" variable_1="CP"/>
  </connection>

  <connection>
    <map_components component_2="CP" component_1="Y"/>
    <map_variables variable_2="Y" variable_1="Y"/>
    <map_variables variable_2="CP" variable_1="CP"/>
  </connection>

  <connection>
    <map_components component_2="CP" component_1="pM"/>
    <map_variables variable_2="CP" variable_1="CP"/>
  </connection>
  
  <connection>
    <map_components component_2="M" component_1="pM"/>
    <map_variables variable_2="pM" variable_1="pM"/>
    <map_variables variable_2="M" variable_1="M"/>
  </connection>

  <connection>
    <map_components component_2="Y" component_1="pM"/>
    <map_variables variable_2="Y" variable_1="Y"/>
  </connection>

  <connection>
    <map_components component_2="M" component_1="YP"/>
    <map_variables variable_2="M" variable_1="M"/>
  </connection>
  
  <connection>
    <map_components component_2="reaction_constants" component_1="C2"/>
    <map_variables variable_2="P" variable_1="P"/>
    <map_variables variable_2="C2" variable_1="C2"/>
    <map_variables variable_2="k6" variable_1="k6"/>
    <map_variables variable_2="k8" variable_1="k8"/>
    <map_variables variable_2="k9" variable_1="k9"/>
  </connection>

  <connection>
    <map_components component_2="reaction_constants" component_1="CP"/>
    <map_variables variable_2="P" variable_1="P"/>
    <map_variables variable_2="CP" variable_1="CP"/>
    <map_variables variable_2="k3" variable_1="k3"/>
    <map_variables variable_2="k8" variable_1="k8"/>
    <map_variables variable_2="k9" variable_1="k9"/>
  </connection>

  <connection>
    <map_components component_2="reaction_constants" component_1="pM"/>
    <map_variables variable_2="P" variable_1="P"/>
    <map_variables variable_2="pM" variable_1="pM"/>
    <map_variables variable_2="k3" variable_1="k3"/>
    <map_variables variable_2="k5" variable_1="k5"/>
    <map_variables variable_2="F" variable_1="F"/>
  </connection>

  <connection>
    <map_components component_2="reaction_constants" component_1="M"/>
    <map_variables variable_2="P" variable_1="P"/>
    <map_variables variable_2="M" variable_1="M"/>
    <map_variables variable_2="k6" variable_1="k6"/>
    <map_variables variable_2="k5" variable_1="k5"/>
    <map_variables variable_2="F" variable_1="F"/>
  </connection>

  <connection>
    <map_components component_2="reaction_constants" component_1="Y"/>
    <map_variables variable_2="Y" variable_1="Y"/>
    <map_variables variable_2="aa" variable_1="aa"/>
    <map_variables variable_2="k1" variable_1="k1"/>
    <map_variables variable_2="k2" variable_1="k2"/>
    <map_variables variable_2="k3" variable_1="k3"/>
  </connection>

  <connection>
    <map_components component_2="reaction_constants" component_1="YP"/>
    <map_variables variable_2="YP" variable_1="YP"/>
    <map_variables variable_2="k6" variable_1="k6"/>
    <map_variables variable_2="k7" variable_1="k7"/>
  </connection>





<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
  <rdf:Seq rdf:about="rdf:#29174e71-441f-40d5-a64d-05fb3ca4baef">
    <rdf:li rdf:resource="rdf:#2b505d85-8643-4d89-8769-196f7d3e4e66"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#29174e71-441f-40d5-a64d-05fb3ca4baef"/>
  <rdf:Description rdf:about="">
    <dc:publisher>The University of Auckland, Bioengineering Institute</dc:publisher>
    <cmeta:comment rdf:resource="rdf:#970575a9-46ac-4ea6-9e67-e4054f0cbc1b"/>
    <dcterms:created rdf:resource="rdf:#57dbab2c-c348-4241-9b73-0ffc2496b7d5"/>
    <dc:creator rdf:resource="rdf:#7b95175d-e347-4dbc-ae4a-85fa789de4ac"/>
    <cmeta:modification rdf:resource="rdf:#202f3e73-3929-4937-8874-c9a0e04fba13"/>
    <cmeta:modification rdf:resource="rdf:#ca52d007-b83a-4dfd-bec2-11d12e7a575f"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7b95175d-e347-4dbc-ae4a-85fa789de4ac">
    <vCard:ORG rdf:resource="rdf:#fc6fe5f9-9c5d-487e-ace9-8898f6054d4f"/>
    <vCard:EMAIL rdf:resource="rdf:#3a78ab40-a09b-4b4d-8a59-cf073dcd4229"/>
    <vCard:N rdf:resource="rdf:#72a320bf-963d-4ce2-a4b2-82f27f513a33"/>
  </rdf:Description>
  <rdf:Description rdf:about="#tyson_model_1991_version02">
    <ns7:simulation rdf:resource="rdf:#$m688a1"/>
    <dc:title>John Tyson's 1991 model of the cell division cycle.</dc:title>
    <cmeta:comment rdf:resource="rdf:#495d606e-2a62-48ea-ad03-37df1a91fcbd"/>
    <bqs:reference rdf:resource="rdf:#0bab2234-6437-4a14-b8d3-650fbbbaa4f4"/>
    <bqs:reference rdf:resource="rdf:#3d480cf0-772f-4c36-af1d-6a8c0918b54e"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3d480cf0-772f-4c36-af1d-6a8c0918b54e">
    <bqs:Pubmed_id>1831270</bqs:Pubmed_id>
    <bqs:JournalArticle rdf:resource="rdf:#63be7732-842f-425c-bcf8-26d1050c88e3"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#$o688a1">
    <ns7:endingValue>200</ns7:endingValue>
    <ns7:nonstandard-pointDensity>100000</ns7:nonstandard-pointDensity>
    <ns7:maximumStepSize>0.001</ns7:maximumStepSize>
    <ns7:nonstandard-algorithm>bdf15</ns7:nonstandard-algorithm>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fc6fe5f9-9c5d-487e-ace9-8898f6054d4f">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#941becc7-ec22-476f-941c-57a435b5eef3">
    <dcterms:W3CDTF>2007-06-05T10:46:32+12:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#63be7732-842f-425c-bcf8-26d1050c88e3">
    <dc:creator rdf:resource="rdf:#29174e71-441f-40d5-a64d-05fb3ca4baef"/>
    <dc:title>Modeling the Cell Division Cycle:cdc2 and Cyclin Interactions</dc:title>
    <bqs:volume>88</bqs:volume>
    <bqs:first_page>7328</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#c68e68cd-8e05-4030-a4f0-b098cd072c2d"/>
    <dcterms:issued rdf:resource="rdf:#0d8fd7db-23f4-48b2-8b69-5cad4ed3bbb6"/>
    <bqs:last_page>7332</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#970575a9-46ac-4ea6-9e67-e4054f0cbc1b">
    <dc:creator rdf:resource="rdf:#62c5e9e7-ece1-4c65-9dfb-e5bdfe73e41b"/>
    <rdf:value>This CellML version of the model has been checked in COR and PCEnv and the model runs to replicate the results in the original published paper.  The units have been checked and are consistent.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c68e68cd-8e05-4030-a4f0-b098cd072c2d">
    <dc:title>Proceedings of the National Academy of Sciences USA</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c6400e25-55c5-4637-a79a-67cba2a0fbba">
    <vCard:N rdf:resource="rdf:#94e5eaaf-a447-4174-8dfd-08d3452cb638"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#202f3e73-3929-4937-8874-c9a0e04fba13">
    <dcterms:modified rdf:resource="rdf:#477c56be-f8a8-4cbc-9ab4-963d6e14b194"/>
    <rdf:value>The model has been corrected such that it now runs to replicate the published results.</rdf:value>
    <cmeta:modifier rdf:resource="rdf:#c6400e25-55c5-4637-a79a-67cba2a0fbba"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d0b3574d-3bd5-42c1-b460-64f695fc5849">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ca52d007-b83a-4dfd-bec2-11d12e7a575f">
    <dcterms:modified rdf:resource="rdf:#941becc7-ec22-476f-941c-57a435b5eef3"/>
    <rdf:value>The new version of this model has been re-coded to remove the reaction element and replace it with a simple MathML description of the model reaction kinetics. This is thought to be truer to the original publication, and information regarding the enzyme kinetics etc will later be added to the metadata through use of an ontology. 

The model runs in the PCEnv simulator but very quickly produces NaNs.</rdf:value>
    <cmeta:modifier rdf:resource="rdf:#025c1b45-f5dd-40e2-9acc-bb24a8581177"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#70e3c150-5301-4c8b-a79c-50e19e689a8b">
    <vCard:FN>Catherine Lloyd</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#72a320bf-963d-4ce2-a4b2-82f27f513a33">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c814cb55-c551-4519-86a5-3867412f75f9">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value>
      <rdf:Bag>
        <rdf:li>cdc2</rdf:li>
        <rdf:li>cell cycle</rdf:li>
        <rdf:li>cyclin</rdf:li>
      </rdf:Bag>
    </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2b505d85-8643-4d89-8769-196f7d3e4e66">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#28070f41-2f75-4286-a2cc-1f44ec84b20b"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#28070f41-2f75-4286-a2cc-1f44ec84b20b">
    <vCard:Given>John</vCard:Given>
    <vCard:Family>Tyson</vCard:Family>
    <vCard:Other>J</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#$n688a1">
    <rdf:rest rdf:resource="http://www.w3.org/1999/02/22-rdf-syntax-ns#nil"/>
    <rdf:first rdf:resource="rdf:#$o688a1"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#495d606e-2a62-48ea-ad03-37df1a91fcbd">
    <dc:creator rdf:resource="rdf:#70e3c150-5301-4c8b-a79c-50e19e689a8b"/>
    <rdf:value>This is the CellML description of John Tyson's 1991 model of the cell 
          division cycle.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3a78ab40-a09b-4b4d-8a59-cf073dcd4229">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#025c1b45-f5dd-40e2-9acc-bb24a8581177">
    <vCard:N rdf:resource="rdf:#d0b3574d-3bd5-42c1-b460-64f695fc5849"/>
  </rdf:Description>
  <rdf:Description rdf:about="#C2">
    <dcterms:alternative>cdc2</dcterms:alternative>
    <dc:title>C2</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#$m688a1">
    <ns7:boundIntervals rdf:resource="rdf:#$n688a1"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0bab2234-6437-4a14-b8d3-650fbbbaa4f4">
    <dc:subject rdf:resource="rdf:#c814cb55-c551-4519-86a5-3867412f75f9"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#62c5e9e7-ece1-4c65-9dfb-e5bdfe73e41b">
    <vCard:FN>Catherine Lloyd</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0d8fd7db-23f4-48b2-8b69-5cad4ed3bbb6">
    <dcterms:W3CDTF>1991-08</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#57dbab2c-c348-4241-9b73-0ffc2496b7d5">
    <dcterms:W3CDTF>2007-05-29T00:00:00+00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#94e5eaaf-a447-4174-8dfd-08d3452cb638">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#477c56be-f8a8-4cbc-9ab4-963d6e14b194">
    <dcterms:W3CDTF>2007-10-03T18:02:44+13:00</dcterms:W3CDTF>
  </rdf:Description>
</rdf:RDF>
</model>