Location: Gardner, Dolnik, Collins, 1998 @ 00a5ab2807d4 / gardner_dolnik_collins_1998.cellml

Author:
Catherine Lloyd <c.lloyd@auckland.ac.nz>
Date:
2010-07-06 00:53:21+12:00
Desc:
Fixed broken units, connections and metadata.
Permanent Source URI:
https://models.cellml.org/workspace/gardner_dolnik_collins_1998/rawfile/00a5ab2807d48d466a4243947d521afb849a4ab5/gardner_dolnik_collins_1998.cellml

<?xml version='1.0' encoding='utf-8'?>

<model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#" cmeta:id="gardner_1998" name="gardner_1998">

<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Controlling Cell Cycle Dynamics Using a Reversibly Binding Inhibitor</title>
  <author>
    <firstname>Lawson</firstname>
          <surname>James</surname>
    <affiliation>
      <shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
      <section id="sec_status">
        <title>Model Status</title>
        <para>
            This CellML model runs in both OpenCell and COR to reproduce the published results. The units have been checked and they are consistent.
          </para>
      </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
ABSTRACT: We demonstrate, by using mathematical modeling of cell division cycle (CDC) dynamics, a potential mechanism for precisely controlling the frequency of cell division and regulating the size of a dividing cell. Control of the cell cycle is achieved by artificially expressing a protein that reversibly binds and inactivates any one of the CDC proteins. In the simplest case, such as the checkpoint-free situation encountered in early amphibian embryos, the frequency of CDC oscillations can be increased or decreased by regulating the rate of synthesis, the binding rate, or the equilibrium constant of the binding protein. In a more complex model of cell division, where size-control checkpoints are included, we show that the same reversible binding reaction can alter the mean cell mass in a continuously dividing cell. Because this control scheme is general and requires only the expression of a single protein, it provides a practical means for tuning the characteristics of the cell cycle in vivo.
</para>

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

<para>A theory for controlling cell cycle dynamics using a reversibly binding inhibitor, Timothy S. Gardner, Milos Dolnik and James J. Collins, 1998, <emphasis>Proceedings of the National Academy of Sciences</emphasis>, 95, 14190-14195. <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/9826676">PubMed ID: 9826676</ulink> 
</para>

<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>cell diagram</title>
    </objectinfo>
    <imagedata fileref="gardner_1998.png"/>
  </imageobject>
</mediaobject>
<caption>Control of the Goldbeter 1991 model with a cyclin inhibitor.  M represents cdc2 kinase, X represents the fraction of active (phosphorylated) cyclin protease, and * represents the fraction of inactive enzymes.  The Goldbeter model is outlined by the dashed box.  Solid arrows indicate protein synthesis, degradation or enzymatic conversion.  Dashed arrows represent activation.</caption>
</informalfigure>

</sect1>
</article>
</documentation>


  <units name="minute">
    <unit units="second" multiplier="60"/>
  </units>
  <units name="per_minute">
    <unit units="minute" exponent="-1"/>
  </units>
  <units name="micromolar">
    <unit units="mole" prefix="micro"/>
    <unit units="litre" exponent="-1"/>
  </units>

  <component name="environment">
    <variable units="minute" public_interface="out" name="time" cmeta:id="environment_time"/>
  </component>
  
   <component cmeta:id="C" name="C">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="#C">
        <dc:title>C</dc:title>
          <dcterms:alternative>cyclin concentration</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>
    <variable units="dimensionless" public_interface="out" name="C" initial_value="0.01"/>
    <variable units="dimensionless" public_interface="out" name="Ctot"/>
   
	<variable units="per_minute" public_interface="in" name="vi"/>
    <variable units="per_minute" public_interface="in" name="k1"/>
    <variable units="dimensionless" public_interface="in" name="X"/>
    <variable units="dimensionless" public_interface="in" name="K5"/>
    <variable units="per_minute" public_interface="in" name="kd"/>
    <variable units="minute" public_interface="in" name="time"/>
    <variable units="dimensionless" public_interface="in" name="Z"/>
  
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>C</ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <minus/>
            <ci>vi</ci>
            <apply>
              <divide/>
              <apply>
                <times/>
                <ci>k1</ci>
                <ci>X</ci>
                <ci>C</ci>
              </apply>
              <apply>
                <plus/>
                <ci>C</ci>
                <ci>K5</ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci>kd</ci>
            <ci>C</ci>
          </apply>
        </apply>
      </apply>
    </math>
  
	<math xmlns="http://www.w3.org/1998/Math/MathML">
	  <apply>
        <eq/>
        <ci>Ctot</ci>
        <apply>
          <plus/>
          <ci>C</ci>
          <ci>Z</ci>
        </apply>
      </apply>
    </math>
  </component>
  
  <component cmeta:id="M" name="M">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="#M">
        <dc:title>M</dc:title>
          <dcterms:alternative>fraction of active cdc2 kinase</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>
    <variable units="dimensionless" public_interface="out" name="M" initial_value="0.01"/>
    <variable units="dimensionless" public_interface="out" name="M_"/>
    
	<variable units="minute" public_interface="in" name="time"/>
    <variable units="per_minute" public_interface="in" name="V1"/>
    <variable units="dimensionless" public_interface="in" name="K1"/>
    <variable units="per_minute" public_interface="in" name="V2"/>
    <variable units="dimensionless" public_interface="in" name="K2"/>
    
	<math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <ci>M_</ci>
        <apply>
          <minus/>
          <cn cellml:units="dimensionless"> 1 </cn>
        </apply>
      </apply>
    </math>
  
	<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>
            <divide/>
            <apply>
              <times/>
              <ci>V1</ci>
              <ci>M_</ci>
            </apply>
            <apply>
              <plus/>
              <ci>M_</ci>
              <ci>K1</ci>
            </apply>
          </apply>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci>V2</ci>
              <ci>M</ci>
            </apply>
            <apply>
              <plus/>
              <ci>M</ci>
              <ci>K2</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component cmeta:id="X" name="X">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="#X">
        <dc:title>X</dc:title>
          <dcterms:alternative>fraction of active protease which degrades cyclin</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF> 
    <variable units="dimensionless" public_interface="out" name="X" initial_value="0.01"/>
    <variable units="dimensionless" public_interface="out" name="X_"/>
    
	<variable units="minute" public_interface="in" name="time"/>
    <variable units="per_minute" public_interface="in" name="V3"/>
    <variable units="dimensionless" public_interface="in" name="K3"/>
    <variable units="per_minute" public_interface="in" name="V4"/>
    <variable units="dimensionless" public_interface="in" name="K4"/>
    
	<math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <ci>X_</ci>
        <apply>
          <minus/>
          <cn cellml:units="dimensionless"> 1 </cn>
          <ci>X</ci>
        </apply>
      </apply>
    </math>
  
	<math xmlns="http://www.w3.org/1998/Math/MathML">  
	  <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>X</ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci>V3</ci>
              <ci>X_</ci>
            </apply>
            <apply>
              <plus/>
              <ci>X_</ci>
              <ci>K3</ci>
            </apply>
          </apply>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci>V4</ci>
              <ci>X</ci>
            </apply>
            <apply>
              <plus/>
              <ci>X</ci>
              <ci>K4</ci>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component cmeta:id="Y" name="Y">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="#Y">
        <dc:title>Y</dc:title>
          <dcterms:alternative>concentration of unbound inhibitor</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>
    <variable units="dimensionless" public_interface="out" name="Y" initial_value="0.01"/>
    <variable units="dimensionless" public_interface="out" name="Ytot"/>
  
	<variable units="per_minute" public_interface="in" name="vs"/>
    <variable units="per_minute" public_interface="in" name="d1"/>
    <variable units="per_minute" public_interface="in" name="a1"/>
    <variable units="per_minute" public_interface="in" name="a2"/>
    <variable units="dimensionless" public_interface="in" name="alpha"/>
    <variable units="per_minute" public_interface="in" name="kd"/>
    <variable units="dimensionless" public_interface="in" name="Z"/>
    <variable units="dimensionless" public_interface="in" name="C"/>
	<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>
          <plus/>
          <apply>
            <minus/>
            <apply>
              <minus/>
              <ci>vs</ci>
              <apply>
                <times/>
                <ci>d1</ci>
                <ci>Y</ci>
              </apply>
            </apply>
            <apply>
              <times/>
              <ci>a1</ci>
              <ci>C</ci>
              <ci>Y</ci>
            </apply>
          </apply>
          <apply>
            <times/>
            <apply>
              <plus/>
              <ci>a2</ci>
              <apply>
                <times/>
                <ci>alpha</ci>
                <ci>kd</ci>
              </apply>
            </apply>
            <ci>Z</ci>
          </apply>
        </apply>
      </apply>
    </math>
  
	<math xmlns="http://www.w3.org/1998/Math/MathML">  
	  <apply>
        <eq/>
        <ci>Ytot</ci>
        <apply>
          <plus/>
          <ci>Y</ci>
          <ci>Z</ci>
        </apply>
      </apply>
    </math>
  </component>
  
  <component cmeta:id="Z" name="Z">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="#Z">
        <dc:title>Z</dc:title>
          <dcterms:alternative>concentration of inhibitor-target complex</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>
    <variable units="dimensionless" public_interface="out" name="Z" initial_value="0.28"/>
    
	<variable units="minute" public_interface="in" name="time"/>
    <variable units="per_minute" public_interface="in" name="a1"/>
    <variable units="dimensionless" public_interface="in" name="C"/>
    <variable units="dimensionless" public_interface="in" name="Y"/>
    <variable units="per_minute" public_interface="in" name="a2"/>
    <variable units="dimensionless" public_interface="in" name="alpha"/>
    <variable units="per_minute" public_interface="in" name="kd"/>
    <variable units="per_minute" public_interface="in" name="d1"/>
    
	<math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>time</ci>
          </bvar>
          <ci>Z</ci>
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>a1</ci>
            <ci>C</ci>
            <ci>Y</ci>
          </apply>
          <apply>
            <times/>
            <apply>
              <plus/>
              <ci>a2</ci>
              <apply>
                <times/>
                <ci>alpha</ci>
                <ci>kd</ci>
              </apply>
              <apply>
                <times/>
                <ci>alpha</ci>
                <ci>d1</ci>
              </apply>
            </apply>
            <ci>Z</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component cmeta:id="BP" name="BP">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="#BP">
        <dc:title>BP</dc:title>
          <dcterms:alternative>buffering power</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>
    <variable units="dimensionless" public_interface="out" name="BP"/>
    
	<variable units="dimensionless" public_interface="in" name="Kd"/>
    <variable units="dimensionless" public_interface="in" name="Ytot"/>
    <variable units="dimensionless" public_interface="in" name="C"/>
    
	<math xmlns="http://www.w3.org/1998/Math/MathML" id="BP">
      <apply>
        <eq/>
        <ci>BP</ci>
        <apply>
          <plus/>
          <cn cellml:units="dimensionless"> 1 </cn>
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci>Kd</ci>
              <ci>Ytot</ci>
            </apply>
            <apply>
              <power/>
              <apply>
                <plus/>
                <ci>C</ci>
                <ci>Kd</ci>
              </apply>
              <cn cellml:units="dimensionless"> 2 </cn>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
 
  <component name="model_parameters">
    <variable units="per_minute" public_interface="out" name="vi" initial_value="0.1"/>
    <variable units="per_minute" public_interface="out" name="k1" initial_value="0.5"/>
    <variable units="dimensionless" public_interface="out" name="K5" initial_value="0.02"/>
    <variable units="per_minute" public_interface="out" name="kd" initial_value="0.02"/>
    <variable units="dimensionless" public_interface="out" name="K1" initial_value="0.02"/>
    <variable units="dimensionless" public_interface="out" name="K2" initial_value="0.02"/>
    <variable units="per_minute" public_interface="out" name="V1"/>
    <variable units="per_minute" public_interface="out" name="V2" initial_value="0.25"/>
	<variable units="per_minute" public_interface="out" name="V3"/>
    <variable units="dimensionless" public_interface="out" name="K3" initial_value="0.1"/>
    <variable units="per_minute" public_interface="out" name="V4" initial_value="0.1"/>
    <variable units="dimensionless" public_interface="out" name="K4" initial_value="0.1"/>
    <variable units="dimensionless" public_interface="out" name="K6" initial_value="0.3"/>
    <variable units="per_minute" public_interface="out" name="V1_dash" initial_value="0.75"/>
    <variable units="per_minute" public_interface="out" name="V3_dash" initial_value="0.3"/>
    <variable units="per_minute" public_interface="out" name="vs" initial_value="0.1"/>
    <variable units="per_minute" public_interface="out" name="d1" initial_value="0.05"/>
    <variable units="per_minute" public_interface="out" name="a1" initial_value="1.5"/>
    <variable units="per_minute" public_interface="out" name="a2" initial_value="1.5"/>
    <variable units="dimensionless" public_interface="out" name="alpha" initial_value="0.1"/>
    <variable units="dimensionless" public_interface="out" name="Kd" initial_value="1"/>
	
	<variable units="dimensionless" public_interface="in" name="M"/>
    <variable units="dimensionless" public_interface="in" name="C"/>
    
	<math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <ci>V1</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci>C</ci>
            <ci>V1_dash</ci>
          </apply>
          <apply>
            <plus/>
            <ci>C</ci>
            <ci>K6</ci>
          </apply>
        </apply>
      </apply>
    </math>
  
	<math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply>
        <eq/>
        <ci>V3</ci>
        <apply>
          <times/>
          <ci>M</ci>
          <ci>V3_dash</ci>
        </apply>
      </apply>
    </math>
  </component>
  
  <connection>
    <map_components component_2="C" component_1="environment"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="C" component_1="model_parameters"/>
    <map_variables variable_2="vi" variable_1="vi"/>
    <map_variables variable_2="k1" variable_1="k1"/>
    <map_variables variable_2="K5" variable_1="K5"/>
    <map_variables variable_2="kd" variable_1="kd"/>
	<map_variables variable_2="C" variable_1="C"/>
  </connection>
  
  <connection>
    <map_components component_2="C" component_1="X"/>
    <map_variables variable_2="X" variable_1="X"/>
  </connection>
  
  <connection>
    <map_components component_2="M" component_1="environment"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="M" component_1="model_parameters"/>
    <map_variables variable_2="K1" variable_1="K1"/>
    <map_variables variable_2="V1" variable_1="V1"/>
	<map_variables variable_2="V2" variable_1="V2"/>
    <map_variables variable_2="K2" variable_1="K2"/>
	<map_variables variable_2="M" variable_1="M"/>
  </connection>
  
  <connection>
    <map_components component_2="X" component_1="environment"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="X" component_1="model_parameters"/>
    <map_variables variable_2="K3" variable_1="K3"/>
    <map_variables variable_2="V4" variable_1="V4"/>
    <map_variables variable_2="K4" variable_1="K4"/>
	<map_variables variable_2="V3" variable_1="V3"/>
  </connection>

  <connection>
    <map_components component_2="Y" component_1="environment"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="Y" component_1="model_parameters"/>
    <map_variables variable_2="vs" variable_1="vs"/>
    <map_variables variable_2="d1" variable_1="d1"/>
    <map_variables variable_2="a1" variable_1="a1"/>
    <map_variables variable_2="a2" variable_1="a2"/>
    <map_variables variable_2="alpha" variable_1="alpha"/>
    <map_variables variable_2="kd" variable_1="kd"/>
  </connection>
  
  <connection>
    <map_components component_2="Y" component_1="Z"/>
    <map_variables variable_2="Z" variable_1="Z"/>
	<map_variables variable_2="Y" variable_1="Y"/>
  </connection>
  
  <connection>
    <map_components component_2="Y" component_1="C"/>
    <map_variables variable_2="C" variable_1="C"/>
  </connection>
  
  <connection>
    <map_components component_2="Z" component_1="environment"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="Z" component_1="model_parameters"/>
    <map_variables variable_2="a1" variable_1="a1"/>
    <map_variables variable_2="a2" variable_1="a2"/>
    <map_variables variable_2="alpha" variable_1="alpha"/>
    <map_variables variable_2="d1" variable_1="d1"/>
    <map_variables variable_2="kd" variable_1="kd"/>
  </connection>
  
  <connection>
    <map_components component_2="Z" component_1="C"/>
    <map_variables variable_2="C" variable_1="C"/>
	<map_variables variable_2="Z" variable_1="Z"/>
  </connection>
  
  <connection>
    <map_components component_2="BP" component_1="model_parameters"/>
    <map_variables variable_2="Kd" variable_1="Kd"/>
  </connection>
  
  <connection>
    <map_components component_2="BP" component_1="Y"/>
    <map_variables variable_2="Ytot" variable_1="Ytot"/>
  </connection>
  
  <connection>
    <map_components component_2="BP" component_1="C"/>
    <map_variables variable_2="C" variable_1="C"/>
  </connection>
  
  <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">
    
	<rdf:Description rdf:about="">
      <dc:creator rdf:parseType="Resource">
        <vCard:N rdf:parseType="Resource">
          <vCard:Family>Lloyd</vCard:Family>
          <vCard:Given>Catherine</vCard:Given>
		  <vCard:Other>May</vCard:Other>
        </vCard:N>
        <vCard:EMAIL rdf:parseType="Resource">
          <rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
          <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
        </vCard:EMAIL>
        <vCard:ORG rdf:parseType="Resource">
          <vCard:Orgname>The University of Auckland</vCard:Orgname>
          <vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
        </vCard:ORG>
      </dc:creator>

      <cmeta:modification rdf:parseType="Resource">
        <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 to give a nice curved output. However, it does not recreate the spiked output published in the original paper.
        </rdf:value>
        <cmeta:modifier rdf:parseType="Resource">
          <vCard:N rdf:parseType="Resource">
            <vCard:Family>Lloyd</vCard:Family>
            <vCard:Given>Catherine</vCard:Given>
            <vCard:Other>M</vCard:Other>
          </vCard:N>
        </cmeta:modifier>
		<dcterms:modified rdf:parseType="Resource"> 
          <dcterms:W3CDTF>2007-06-05</dcterms:W3CDTF>
        </dcterms:modified>
      </cmeta:modification>
	  <cmeta:modification rdf:parseType="Resource">
        <rdf:value>
          Rebuilt model using fixed Goldbeter 91 model as base. Model now produces correct output.
        </rdf:value>
        <cmeta:modifier rdf:parseType="Resource">
          <vCard:N rdf:parseType="Resource">
            <vCard:Family>Lawson</vCard:Family>
            <vCard:Given>James</vCard:Given>
            <vCard:Other>R</vCard:Other>
          </vCard:N>
        </cmeta:modifier>
		<dcterms:modified rdf:parseType="Resource"> 
          <dcterms:W3CDTF>2007-07-27</dcterms:W3CDTF>
        </dcterms:modified>
      </cmeta:modification>
	  <cmeta:modification rdf:parseType="Resource">
        <rdf:value>
          Rewrote model and changed (erroneous) parameters from those given in the Goldbeter 1991 paper to those given in the Gardner paper.
        </rdf:value>
		<cmeta:modifier rdf:parseType="Resource">
          <vCard:N rdf:parseType="Resource">
            <vCard:Family>Lim</vCard:Family>
            <vCard:Given>Jeelean</vCard:Given>
          </vCard:N>
        </cmeta:modifier>
        <dcterms:modified rdf:parseType="Resource"> 
          <dcterms:W3CDTF>2007-12-06</dcterms:W3CDTF>
        </dcterms:modified>
      </cmeta:modification>
	</rdf:Description>
    
    <rdf:Description rdf:about="#gardner_1998">
      <bqs:reference rdf:parseType="Resource">
        <dc:subject rdf:parseType="Resource">
          <bqs:subject_type>keyword</bqs:subject_type>
          <rdf:value>
            <rdf:Bag>
              <rdf:li>cell cycle</rdf:li>
			  <rdf:li>cell division</rdf:li>
			  <rdf:li>oscillator</rdf:li>
            </rdf:Bag>
          </rdf:value>
        </dc:subject>
      </bqs:reference>

      <bqs:reference rdf:parseType="Resource">
        <bqs:Pubmed_id>9826676</bqs:Pubmed_id>
        <bqs:JournalArticle rdf:parseType="Resource">
          <dc:creator>
            <rdf:Seq>
              <rdf:li rdf:parseType="Resource">
                <bqs:Person rdf:parseType="Resource">
                  <vCard:N rdf:parseType="Resource">
                    <vCard:Family>Gardner</vCard:Family>
                    <vCard:Given>T</vCard:Given>
					<vCard:Other>S</vCard:Other>
                  </vCard:N>
                </bqs:Person>
              </rdf:li>
			  <rdf:li rdf:parseType="Resource">
                <bqs:Person rdf:parseType="Resource">
                  <vCard:N rdf:parseType="Resource">
                    <vCard:Family>Dolnik</vCard:Family>
                    <vCard:Given>M</vCard:Given>
				  </vCard:N>
                </bqs:Person>
              </rdf:li>
              <rdf:li rdf:parseType="Resource">
                <bqs:Person rdf:parseType="Resource">
                  <vCard:N rdf:parseType="Resource">
                    <vCard:Family>Collins</vCard:Family>
                    <vCard:Given>J</vCard:Given>
					<vCard:Other>J</vCard:Other>
                  </vCard:N>
                </bqs:Person>
              </rdf:li>
			</rdf:Seq>
          </dc:creator>
          <dc:title>
            A theory for controlling cell cycle dynamics using a reversibly binding inhibitor
          </dc:title>
          <dcterms:issued rdf:parseType="Resource">
            <dcterms:W3CDTF>1998-11-24</dcterms:W3CDTF>
          </dcterms:issued>
          <bqs:Journal rdf:parseType="Resource">
            <dc:title>PNAS</dc:title>
          </bqs:Journal>
		  <bqs:volume>95</bqs:volume>
          <bqs:first_page>14190</bqs:first_page>
          <bqs:last_page>14195</bqs:last_page>
        </bqs:JournalArticle>
      </bqs:reference>
    </rdf:Description>
  </rdf:RDF>
</model>