Location: Kholodenko, Demin, Moehren, Hoek, 1999 @ 957d3f104b39 / kholodenko_demin_moehren_hoek_1999.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2007-05-02 00:37:11+12:00
Desc:
committing version02 of kholodenko_demin_moehren_hoek_1999
Permanent Source URI:
https://models.physiomeproject.org/workspace/394/rawfile/957d3f104b398e369344f25b8ef88e2175cc4adb/kholodenko_demin_moehren_hoek_1999.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  kholodenko_model_1999.xml

CREATED :  6th October 2003

LAST MODIFIED : 6th October 2003

AUTHOR :  Catherine Lloyd
          Bioengineering Institute
          The University of Auckland
          
MODEL STATUS :  This model conforms to the CellML 1.0 Specification released on
10th August 2001, and the 16/1/02 CellML Metadata 1.0 Specification.

DESCRIPTION :  This file contains a CellML description of Kholodenko et al.'s 1999 mathematical model of the kinetics of EGFR signalling.

CHANGES:  
Version 02 created by James Lawson of the University of Auckland Bioengineering Institute on 02/05/07. Missing kinetic equations were added. Initial concentrations for EGF, EGFR, PLCgamma, Grb2, Shc and SOS were added.
--><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="kholodenko_demin_moehren_hoek_1999_version01" name="kholodenko_demin_moehren_hoek_1999_version02">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Quantification of EGF Receptor Signalling</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>
            Version 02 was created from Version 01 by James Lawson of the University of Auckland Bioengineering Institute on 02/05/07. Version 02 now contains the complete set of kinetic equations described in Kholdenko et al's 1999 paper. Initial concentrations for EGF, EGFR, PLCgamma, Grb2, Shc and SOS were also added, but are presently the subject of some contention. Correspondence with the authors will hopefully clear this matter up.
          </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
The epidermal growth factor receptor (EGFR) is a protein-tyrosine kinase receptor which regulates cell growth, survival, proliferation, and differentiation.  When epidermal growth factor (EGF) binds to EGFR is causes receptor dimerisation and activates its kinase activity, leading to autophosphorylation.  In turn, this leads to a range of cytoplasmic proteins with specific binding domains, binding to the activated EGFR, and then themselves becoming phosphorylated and activated.  This then leads to further propagation of the signal through several interacting signal transduction pathways.   
</para>

<para>
Although there is a large body of data which describes EGFR signalling at the molecular level, the mechanisms underlying the regulation of the cellular responses to EGF remain poorly understood.  A contributing factor to this relatively poor understanding is the absence of a quantitative description of the EGFR signalling network.  Placing the experimental data within the framework of a mathematical model provides a method of quantitatively analysing the available experimental data.  In the paper described here, Kholodenko <emphasis>et al</emphasis>. develop a mathematical model which presents a quantitative description of short term EGFR signalling (see <xref linkend="fig_reaction_diagram"/> below).        
</para>

<para>
The kinetic model predicts how the cellular response is controlled by the relative levels and activity states of the signalling proteins, and also determines the conditions under which activation patterns are transient or sustained.  This modelling analysis will facilitate the assessment of how the EGFR signalling system can process information and generate distinct outputs in response to stimuli.
</para>

<para>
The model has been described here in CellML (the raw CellML description of the Kholodenko <emphasis>et al.</emphasis> 1999 model can be downloaded in various formats as described in <xref linkend="sec_download_this_model"/>).     
</para>

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

<para>
<ulink url="http://www.jbc.org/cgi/content/abstract/274/42/30169">Quantification of Short Term Signaling by the Epidermal Growth Factor Receptor</ulink>, Boris N. Kholodenko, Oleg V. Demin, Gisela Moehren, and Jan B. Hoek, 1999, <ulink url="http://www.jbc.org/">
            <emphasis>The Journal of Biological Chemistry</emphasis>
          </ulink>, 274, 30169-30181.  (<ulink url="http://www.jbc.org/cgi/content/full/274/42/30169">Full text (HTML)</ulink> and <ulink url="http://www.jbc.org/cgi/reprint/274/42/30169.pdf">PDF</ulink> versions of the article are available on <emphasis>The Journal of Biological Chemistry</emphasis> website.)  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=10514507&amp;dopt=Abstract">PubMed ID: 10514507</ulink>
</para>

<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>reaction diagram</title>
    </objectinfo>
    <imagedata fileref="kholodenko_1999.png"/>
  </imageobject>
</mediaobject>
<caption>Kinetic scheme of EGFR signalling mediated by adapter and target proteins.</caption>
</informalfigure>

</sect1>
</article>
</documentation>
  
  
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            <ci>v21</ci>
          </apply>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component cmeta:id="Shc" name="Shc">
     
    <variable units="nanomolar" public_interface="out" name="Shc" initial_value="150"/>
    <variable units="flux" public_interface="in" name="v16"/> 
    <variable units="flux" public_interface="in" name="v13"/>
    <variable units="second" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>Shc</ci> 
        </apply>
        <apply>
          <minus/>
          <ci>v16</ci>
          <ci>v13</ci>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component cmeta:id="SOS" name="SOS">
     
    <variable units="nanomolar" public_interface="out" name="SOS" initial_value="34"/>
    <variable units="flux" public_interface="in" name="v12"/> 
    <variable units="flux" public_interface="in" name="v10"/>
    <variable units="flux" public_interface="in" name="v19"/> 
    <variable units="flux" public_interface="in" name="v22"/>
    <variable units="second" public_interface="in" name="time"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci>SOS</ci> 
        </apply>
        <apply>
          <minus/>
          <ci>v12</ci>
          <apply>
            <plus/>
            <ci>v10</ci>
            <ci>v19</ci>
            <ci>v22</ci>
          </apply>
        </apply> 
      </apply> 
    </math>  
  </component>
  
  <component name="v1">
    <variable units="flux" public_interface="out" name="v1"/>
    
    <variable units="nanomolar" public_interface="in" name="R"/>
    <variable units="nanomolar" public_interface="in" name="EGF"/>
    <variable units="nanomolar" public_interface="in" name="Ra"/>
    
    <variable units="second_order_rate_constant" name="k1" initial_value="0.003"/>
    <variable units="first_order_rate_constant" name="k1_" initial_value="0.06"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v1_calculation">
        <eq/>
        <ci> v1 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k1 </ci>
            <ci> R </ci>
            <ci> EGF </ci>
          </apply>
          <apply>
            <times/>
            <ci> k1_ </ci>
            <ci> Ra </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v2">
    <variable units="flux" public_interface="out" name="v2"/>
    
    <variable units="nanomolar" public_interface="in" name="R2"/>
    <variable units="nanomolar" public_interface="in" name="Ra"/>
    
    <variable units="second_order_rate_constant" name="k2" initial_value="0.01"/>
    <variable units="first_order_rate_constant" name="k2_" initial_value="0.1"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v2_calculation">
        <eq/>
        <ci> v2 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k2 </ci>
            <ci> Ra </ci>
            <ci> Ra </ci>
          </apply>
          <apply>
            <times/>
            <ci> k2_ </ci>
            <ci> R2 </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v3">
    <variable units="flux" public_interface="out" name="v3"/>
    
    <variable units="nanomolar" public_interface="in" name="R2"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    
    <variable units="first_order_rate_constant" name="k3" initial_value="1.0"/>
    <variable units="first_order_rate_constant" name="k3_" initial_value="0.01"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v3_calculation">
        <eq/>
        <ci> v3 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k3 </ci>
            <ci> R2 </ci>
          </apply>
          <apply>
            <times/>
            <ci> k3_ </ci>
            <ci> RP </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v4">
    <variable units="flux" public_interface="out" name="v4"/>
    
    <variable units="nanomolar" public_interface="in" name="RP"/>
    
    <variable units="nanomolar" name="K4" initial_value="50.0"/>
    <variable units="flux" name="V4" initial_value="450.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v4_calculation">
        <eq/>
        <ci> v4 </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V4 </ci>
            <ci> RP </ci>
          </apply>
          <apply>
            <plus/>
            <ci> K4 </ci>
            <ci> RP </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v5">
    <variable units="flux" public_interface="out" name="v5"/>
    
    <variable units="nanomolar" public_interface="in" name="R_PL"/>
    <variable units="nanomolar" public_interface="in" name="PLC_gamma"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    
    <variable units="second_order_rate_constant" name="k5" initial_value="0.06"/>
    <variable units="first_order_rate_constant" name="k5_" initial_value="0.2"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v5_calculation">
        <eq/>
        <ci> v5 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k5 </ci>
            <ci> RP </ci>
            <ci> PLC_gamma </ci>
          </apply>
          <apply>
            <times/>
            <ci> k5_ </ci>
            <ci> R_PL </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v6">
    <variable units="flux" public_interface="out" name="v6"/>
    
    <variable units="nanomolar" public_interface="in" name="R_PL"/>
    <variable units="nanomolar" public_interface="in" name="R_PLP"/>
    
    <variable units="first_order_rate_constant" name="k6" initial_value="1.0"/>
    <variable units="first_order_rate_constant" name="k6_" initial_value="0.05"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v6_calculation">
        <eq/>
        <ci> v6 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k6 </ci>
            <ci> R_PL </ci>
          </apply>
          <apply>
            <times/>
            <ci> k6_ </ci>
            <ci> R_PLP </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v7">
    <variable units="flux" public_interface="out" name="v7"/>
    
    <variable units="nanomolar" public_interface="in" name="R_PLP"/>
    <variable units="nanomolar" public_interface="in" name="PLC_gamma_P"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    
    <variable units="first_order_rate_constant" name="k7" initial_value="0.06"/>
    <variable units="second_order_rate_constant" name="k7_" initial_value="0.2"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v7_calculation">
        <eq/>
        <ci> v7 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k7 </ci>
            <ci> R_PLP </ci>
          </apply>
          <apply>
            <times/>
            <ci> k7_ </ci>
            <ci> RP </ci>
            <ci> PLC_gamma_P </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v8">
    <variable units="flux" public_interface="out" name="v8"/>
    
    <variable units="nanomolar" public_interface="in" name="PLC_gamma_P"/>
    
    <variable units="nanomolar" name="K8" initial_value="100.0"/>
    <variable units="flux" name="V8" initial_value="1.0"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v8_calculation">
        <eq/>
        <ci> v8 </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V8 </ci>
            <ci> PLC_gamma_P </ci>
          </apply>
          <apply>
            <plus/>
            <ci> K8 </ci>
            <ci> PLC_gamma_P </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v9">
    <variable units="flux" public_interface="out" name="v9"/>
    
    <variable units="nanomolar" public_interface="in" name="R_G"/>
    <variable units="nanomolar" public_interface="in" name="Grb"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    
    <variable units="second_order_rate_constant" name="k9" initial_value="0.003"/>
    <variable units="first_order_rate_constant" name="k9_" initial_value="0.05"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v9_calculation">
        <eq/>
        <ci> v9 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k9 </ci>
            <ci> RP </ci>
            <ci> Grb </ci>
          </apply>
          <apply>
            <times/>
            <ci> k9_ </ci>
            <ci> R_G </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v10">
    <variable units="flux" public_interface="out" name="v10"/>
    
    <variable units="nanomolar" public_interface="in" name="R_G_S"/>
    <variable units="nanomolar" public_interface="in" name="SOS"/>
    <variable units="nanomolar" public_interface="in" name="R_G"/>
    
    <variable units="second_order_rate_constant" name="k10" initial_value="0.01"/>
    <variable units="first_order_rate_constant" name="k10_" initial_value="0.06"/>
    
    <math xmlns="http://www.w3.org/110108/Math/MathML">
      <apply id="v10_calculation">
        <eq/>
        <ci> v10 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k10 </ci>
            <ci> R_G </ci>
            <ci> SOS </ci>
          </apply>
          <apply>
            <times/>
            <ci> k10_ </ci>
            <ci> R_G_S </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v10_calculation">
        <eq/>
        <ci>v10</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>k10</ci>
            <ci>R_G</ci>
            <ci>SOS</ci>
          </apply>
          <apply>
            <times/>
            <ci>k10_</ci>
            <ci>R_G_S</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="v11">
    <variable units="flux" public_interface="out" name="v11"/>
    
    <variable units="nanomolar" public_interface="in" name="R_G_S"/>
    <variable units="nanomolar" public_interface="in" name="G_S"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    
    <variable units="first_order_rate_constant" name="k11" initial_value="0.03"/>
    <variable units="second_order_rate_constant" name="k11_" initial_value="4.5E-3"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v11_calculation">
        <eq/>
        <ci> v11 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k11 </ci>
            <ci> R_G_S </ci>
          </apply>
          <apply>
            <times/>
            <ci> k11_ </ci>
            <ci> RP </ci>
            <ci> G_S </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v12">
    <variable units="flux" public_interface="out" name="v12"/>
    
    <variable units="nanomolar" public_interface="in" name="G_S"/>
    <variable units="nanomolar" public_interface="in" name="SOS"/>
    <variable units="nanomolar" public_interface="in" name="Grb"/>
    
    <variable units="first_order_rate_constant" name="k12" initial_value="1.5E-3"/>
    <variable units="second_order_rate_constant" name="k12_" initial_value="1.0E-4"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v12_calculation">
        <eq/>
        <ci> v12 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k12 </ci>
            <ci> G_S </ci>
          </apply>
          <apply>
            <times/>
            <ci> k12_ </ci>
            <ci> Grb </ci>
            <ci> SOS </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v13">
    <variable units="flux" public_interface="out" name="v13"/>
    
    <variable units="nanomolar" public_interface="in" name="R_Sh"/>
    <variable units="nanomolar" public_interface="in" name="Shc"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    
    <variable units="second_order_rate_constant" name="k13" initial_value="0.09"/>
    <variable units="first_order_rate_constant" name="k13_" initial_value="0.6"/>
    
    <math xmlns="http://www.w3.org/113138/Math/MathML">
      <apply id="v13_calculation">
        <eq/>
        <ci> v13 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k13 </ci>
            <ci> RP </ci>
            <ci> Shc </ci>
          </apply>
          <apply>
            <times/>
            <ci> k13_ </ci>
            <ci> R_Sh </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v12_calculation">
        <eq/>
        <ci>v13</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>k13</ci>
            <ci>RP</ci>
            <ci>Shc</ci>
          </apply>
          <apply>
            <times/>
            <ci>k13_</ci>
            <ci>R_Sh</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="v14">
    <variable units="flux" public_interface="out" name="v14"/>
    
    <variable units="nanomolar" public_interface="in" name="R_Sh"/>
    <variable units="nanomolar" public_interface="in" name="R_ShP"/>
    
    <variable units="first_order_rate_constant" name="k14" initial_value="6.0"/>
    <variable units="first_order_rate_constant" name="k14_" initial_value="0.06"/>
    
    <math xmlns="http://www.w3.org/114148/Math/MathML">
      <apply id="v14_calculation">
        <eq/>
        <ci> v14 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k14 </ci>
            <ci> R_Sh </ci>
          </apply>
          <apply>
            <times/>
            <ci> k14_ </ci>
            <ci> R_ShP </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v14_calculation">
        <eq/>
        <ci>v14</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>k14</ci>
            <ci>R_Sh</ci>
          </apply>
          <apply>
            <times/>
            <ci>k14_</ci>
            <ci>R_ShP</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
    
  <component name="v15">
    <variable units="flux" public_interface="out" name="v15"/>
    
    <variable units="nanomolar" public_interface="in" name="R_ShP"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    <variable units="nanomolar" public_interface="in" name="ShP"/>
    
    <variable units="first_order_rate_constant" name="k15" initial_value="0.3"/>
    <variable units="second_order_rate_constant" name="k15_" initial_value="9.0E-4"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v15_calculation">
        <eq/>
        <ci> v15 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k15 </ci>
            <ci> R_ShP </ci>
          </apply>
          <apply>
            <times/>
            <ci> k15_ </ci>
            <ci> ShP </ci>
            <ci> RP </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
    
  <component name="v16">
    <variable units="flux" public_interface="out" name="v16"/>
    
    <variable units="nanomolar" public_interface="in" name="ShP"/>
    
    <variable units="nanomolar" name="K16" initial_value="340.0"/>
    <variable units="flux" name="V16" initial_value="1.7"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v16_calculation">
        <eq/>
        <ci> v16 </ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci> V16 </ci>
            <ci> ShP </ci>
          </apply>
          <apply>
            <plus/>
            <ci> K16 </ci>
            <ci> ShP </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component> 
  
  <component name="v17">
    <variable units="flux" public_interface="out" name="v17"/>
    
    <variable units="nanomolar" public_interface="in" name="R_ShP"/>
    <variable units="nanomolar" public_interface="in" name="Grb"/>
    <variable units="nanomolar" public_interface="in" name="R_Sh_G"/>
    
    <variable units="second_order_rate_constant" name="k17" initial_value="0.003"/>
    <variable units="first_order_rate_constant" name="k17_" initial_value="0.1"/>
    
    <math xmlns="http://www.w3.org/117178/Math/MathML">
      <apply id="v17_calculation">
        <eq/>
        <ci> v17 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k17 </ci>
            <ci> R_ShP </ci>
            <ci> Grb </ci>
          </apply>
          <apply>
            <times/>
            <ci> k17_ </ci>
            <ci> R_Sh_G </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v17_calculation">
        <eq/>
        <ci>v17</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>k17</ci>
            <ci>R_ShP</ci>
            <ci>Grb</ci>
          </apply>
          <apply>
            <times/>
            <ci>k17_</ci>
            <ci>R_Sh_G</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="v18">
    <variable units="flux" public_interface="out" name="v18"/>
    
    <variable units="nanomolar" public_interface="in" name="R_Sh_G"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    <variable units="nanomolar" public_interface="in" name="Sh_G"/>
    
    <variable units="first_order_rate_constant" name="k18" initial_value="0.3"/>
    <variable units="second_order_rate_constant" name="k18_" initial_value="9.0E-4"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v18_calculation">
        <eq/>
        <ci> v18 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k18 </ci>
            <ci> R_Sh_G </ci>
          </apply>
          <apply>
            <times/>
            <ci> k18_ </ci>
            <ci> RP </ci>
            <ci> Sh_G </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v19">
    <variable units="flux" public_interface="out" name="v19"/>
    
    <variable units="nanomolar" public_interface="in" name="R_Sh_G_S"/>
    <variable units="nanomolar" public_interface="in" name="SOS"/>
    <variable units="nanomolar" public_interface="in" name="R_Sh_G"/>
    
    <variable units="second_order_rate_constant" name="k19" initial_value="0.01"/>
    <variable units="first_order_rate_constant" name="k19_" initial_value="2.14E-2"/>
    
    <math xmlns="http://www.w3.org/119198/Math/MathML">
      <apply id="v19_calculation">
        <eq/>
        <ci> v19 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k19 </ci>
            <ci> R_Sh_G </ci>
            <ci> SOS </ci>
          </apply>
          <apply>
            <times/>
            <ci> k19_ </ci>
            <ci> R_Sh_G_S </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v19_calculation">
        <eq/>
        <ci>v19</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>k19</ci>
            <ci>R_Sh_G</ci>
            <ci>SOS</ci>
          </apply>
          <apply>
            <times/>
            <ci>k19_</ci>
            <ci>R_Sh_G_S</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="v20">
    <variable units="flux" public_interface="out" name="v20"/>
    
    <variable units="nanomolar" public_interface="in" name="Sh_G_S"/>
    <variable units="nanomolar" public_interface="in" name="RP"/>
    <variable units="nanomolar" public_interface="in" name="R_Sh_G_S"/>
    
    <variable units="first_order_rate_constant" name="k20" initial_value="0.12"/>
    <variable units="second_order_rate_constant" name="k20_" initial_value="2.4E-4"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v20_calculation">
        <eq/>
        <ci> v20 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k20 </ci>
            <ci> R_Sh_G_S </ci>
          </apply>
          <apply>
            <times/>
            <ci> k20_ </ci>
            <ci> Sh_G_S </ci>
            <ci> RP </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v21">
    <variable units="flux" public_interface="out" name="v21"/>
    
    <variable units="nanomolar" public_interface="in" name="Sh_G"/>
    <variable units="nanomolar" public_interface="in" name="Grb"/>
    <variable units="nanomolar" public_interface="in" name="ShP"/>
    
    <variable units="second_order_rate_constant" name="k21" initial_value="0.003"/>
    <variable units="first_order_rate_constant" name="k21_" initial_value="0.1"/>
    
    <math xmlns="http://www.w3.org/121218/Math/MathML">
      <apply id="v21_calculation">
        <eq/>
        <ci> v21 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k21 </ci>
            <ci> ShP </ci>
            <ci> Grb </ci>
          </apply>
          <apply>
            <times/>
            <ci> k21_ </ci>
            <ci> Sh_G </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v21_calculation">
        <eq/>
        <ci>v21</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>k21</ci>
            <ci>ShP</ci>
            <ci>Grb</ci>
          </apply>
          <apply>
            <times/>
            <ci>k21_</ci>
            <ci>Sh_G</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="v22">
    <variable units="flux" public_interface="out" name="v22"/>
    
    <variable units="nanomolar" public_interface="in" name="Sh_G_S"/>
    <variable units="nanomolar" public_interface="in" name="SOS"/>
    <variable units="nanomolar" public_interface="in" name="Sh_G"/>
    
    <variable units="second_order_rate_constant" name="k22" initial_value="0.03"/>
    <variable units="first_order_rate_constant" name="k22_" initial_value="0.064"/>
    
    <math xmlns="http://www.w3.org/122228/Math/MathML">
      <apply id="v22_calculation">
        <eq/>
        <ci> v22 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k22 </ci>
            <ci> Sh_G </ci>
            <ci> SOS </ci>
          </apply>
          <apply>
            <times/>
            <ci> k22_ </ci>
            <ci> Sh_G_S </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v22_calculation">
        <eq/>
        <ci>v22</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>k22</ci>
            <ci>Sh_G</ci>
            <ci>SOS</ci>
          </apply>
          <apply>
            <times/>
            <ci>k22_</ci>
            <ci>Sh_G_S</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="v23">
    <variable units="flux" public_interface="out" name="v23"/>
    
    <variable units="nanomolar" public_interface="in" name="G_S"/>
    <variable units="nanomolar" public_interface="in" name="ShP"/>
    <variable units="nanomolar" public_interface="in" name="Sh_G_S"/>
    
    <variable units="first_order_rate_constant" name="k23" initial_value="0.1"/>
    <variable units="second_order_rate_constant" name="k23_" initial_value="0.021"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v23_calculation">
        <eq/>
        <ci> v23 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k23 </ci>
            <ci> Sh_G_S </ci>
          </apply>
          <apply>
            <times/>
            <ci> k23_ </ci>
            <ci> ShP </ci>
            <ci> G_S </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  <component name="v24">
    <variable units="flux" public_interface="out" name="v24"/>
    
    <variable units="nanomolar" public_interface="in" name="R_Sh_G_S"/>
    <variable units="nanomolar" public_interface="in" name="G_S"/>
    <variable units="nanomolar" public_interface="in" name="R_ShP"/>
    
    <variable units="second_order_rate_constant" name="k24" initial_value="0.009"/>
    <variable units="first_order_rate_constant" name="k24_" initial_value="4.29E-2"/>
    
    <math xmlns="http://www.w3.org/124248/Math/MathML">
      <apply id="v24_calculation">
        <eq/>
        <ci> v24 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k24 </ci>
            <ci> R_ShP </ci>
            <ci> G_S </ci>
          </apply>
          <apply>
            <times/>
            <ci> k24_ </ci>
            <ci> R_Sh_G_S </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v24_calculation">
        <eq/>
        <ci>v24</ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci>k24</ci>
            <ci>R_ShP</ci>
            <ci>G_S</ci>
          </apply>
          <apply>
            <times/>
            <ci>k24_</ci>
            <ci>R_Sh_G_S</ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  
  <component name="v25">
    <variable units="flux" public_interface="out" name="v25"/>
    
    <variable units="nanomolar" public_interface="in" name="PLC_gamma_P"/>
    <variable units="nanomolar" public_interface="in" name="PLC_gamma_P_I"/>
    
    <variable units="first_order_rate_constant" name="k25" initial_value="1.0"/>
    <variable units="first_order_rate_constant" name="k25_" initial_value="0.03"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML">
      <apply id="v25_calculation">
        <eq/>
        <ci> v25 </ci>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> k25 </ci>
            <ci> PLC_gamma_P </ci>
          </apply>
          <apply>
            <times/>
            <ci> k25_ </ci>
            <ci> PLC_gamma_P_I </ci>
          </apply>
        </apply>
      </apply>    
    </math>
  </component>
  
  
  <connection>
    <map_components component_2="v1" component_1="EGF"/>
    <map_variables variable_2="EGF" variable_1="EGF"/>
    <map_variables variable_2="v1" variable_1="v1"/>
  </connection>
  
  <connection>
    <map_components component_2="v1" component_1="R"/>
    <map_variables variable_2="R" variable_1="R"/>
    <map_variables variable_2="v1" variable_1="v1"/>
  </connection>
  
  <connection>
    <map_components component_2="v1" component_1="Ra"/>
    <map_variables variable_2="Ra" variable_1="Ra"/>
    <map_variables variable_2="v1" variable_1="v1"/>
  </connection>
  
  <connection>
    <map_components component_2="v2" component_1="Ra"/>
    <map_variables variable_2="Ra" variable_1="Ra"/>
    <map_variables variable_2="v2" variable_1="v2"/>
  </connection>
  
  <connection>
    <map_components component_2="v2" component_1="R2"/>
    <map_variables variable_2="R2" variable_1="R2"/>
    <map_variables variable_2="v2" variable_1="v2"/>
  </connection>
  
  <connection>
    <map_components component_2="v3" component_1="R2"/>
    <map_variables variable_2="R2" variable_1="R2"/>
    <map_variables variable_2="v3" variable_1="v3"/>
  </connection>
  
  <connection>
    <map_components component_2="v4" component_1="R2"/>
    <map_variables variable_2="v4" variable_1="v4"/>
  </connection>
  
  <connection>
    <map_components component_2="v3" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v3" variable_1="v3"/>
  </connection>
  
  <connection>
    <map_components component_2="v7" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v7" variable_1="v7"/>
  </connection>
  
  <connection>
    <map_components component_2="v11" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v11" variable_1="v11"/>
  </connection>
  
  <connection>
    <map_components component_2="v15" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v15" variable_1="v15"/>
  </connection>
  
  <connection>
    <map_components component_2="v18" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v18" variable_1="v18"/>
  </connection>
  
  <connection>
    <map_components component_2="v20" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v20" variable_1="v20"/>
  </connection>
  
  <connection>
    <map_components component_2="v4" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v4" variable_1="v4"/>
  </connection>
  
  <connection>
    <map_components component_2="v5" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v5" variable_1="v5"/>
  </connection>
  
  <connection>
    <map_components component_2="v9" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v9" variable_1="v9"/>
  </connection>
  
  <connection>
    <map_components component_2="v13" component_1="RP"/>
    <map_variables variable_2="RP" variable_1="RP"/>
    <map_variables variable_2="v13" variable_1="v13"/>
  </connection>
  
  <connection>
    <map_components component_2="v5" component_1="R_PL"/>
    <map_variables variable_2="R_PL" variable_1="R_PL"/>
    <map_variables variable_2="v5" variable_1="v5"/>
  </connection>
  
  <connection>
    <map_components component_2="v6" component_1="R_PL"/>
    <map_variables variable_2="R_PL" variable_1="R_PL"/>
    <map_variables variable_2="v6" variable_1="v6"/>
  </connection>
 
  <connection>
    <map_components component_2="v6" component_1="R_PLP"/>
    <map_variables variable_2="R_PLP" variable_1="R_PLP"/>
    <map_variables variable_2="v6" variable_1="v6"/>
  </connection>
  
  <connection>
    <map_components component_2="v7" component_1="R_PLP"/>
    <map_variables variable_2="R_PLP" variable_1="R_PLP"/>
    <map_variables variable_2="v7" variable_1="v7"/>
  </connection> 
  
  <connection>
    <map_components component_2="v9" component_1="R_G"/>
    <map_variables variable_2="R_G" variable_1="R_G"/>
    <map_variables variable_2="v9" variable_1="v9"/>
  </connection>
  
  <connection>
    <map_components component_2="v10" component_1="R_G"/>
    <map_variables variable_2="R_G" variable_1="R_G"/>
    <map_variables variable_2="v10" variable_1="v10"/>
  </connection>
  
  <connection>
    <map_components component_2="v10" component_1="R_G_S"/>
    <map_variables variable_2="R_G_S" variable_1="R_G_S"/>
    <map_variables variable_2="v10" variable_1="v10"/>
  </connection>
  
  <connection>
    <map_components component_2="v11" component_1="R_G_S"/>
    <map_variables variable_2="R_G_S" variable_1="R_G_S"/>
    <map_variables variable_2="v11" variable_1="v11"/>
  </connection> 
  
  <connection>
    <map_components component_2="v13" component_1="R_Sh"/>
    <map_variables variable_2="R_Sh" variable_1="R_Sh"/>
    <map_variables variable_2="v13" variable_1="v13"/>
  </connection>
  
  <connection>
    <map_components component_2="v14" component_1="R_Sh"/>
    <map_variables variable_2="R_Sh" variable_1="R_Sh"/>
    <map_variables variable_2="v14" variable_1="v14"/>
  </connection>
  
  <connection>
    <map_components component_2="v14" component_1="R_ShP"/>
    <map_variables variable_2="R_ShP" variable_1="R_ShP"/>
    <map_variables variable_2="v14" variable_1="v14"/>
  </connection> 
  
  <connection>
    <map_components component_2="v24" component_1="R_ShP"/>
    <map_variables variable_2="R_ShP" variable_1="R_ShP"/>
    <map_variables variable_2="v24" variable_1="v24"/>
  </connection> 
  
  <connection>
    <map_components component_2="v15" component_1="R_ShP"/>
    <map_variables variable_2="R_ShP" variable_1="R_ShP"/>
    <map_variables variable_2="v15" variable_1="v15"/>
  </connection> 
  
  <connection>
    <map_components component_2="v17" component_1="R_ShP"/>
    <map_variables variable_2="R_ShP" variable_1="R_ShP"/>
    <map_variables variable_2="v17" variable_1="v17"/>
  </connection> 
 
  <connection>
    <map_components component_2="v17" component_1="R_Sh_G"/>
    <map_variables variable_2="R_Sh_G" variable_1="R_Sh_G"/>
    <map_variables variable_2="v17" variable_1="v17"/>
  </connection>
  
  <connection>
    <map_components component_2="v18" component_1="R_Sh_G"/>
    <map_variables variable_2="R_Sh_G" variable_1="R_Sh_G"/>
    <map_variables variable_2="v18" variable_1="v18"/>
  </connection>
  
  <connection>
    <map_components component_2="v19" component_1="R_Sh_G"/>
    <map_variables variable_2="R_Sh_G" variable_1="R_Sh_G"/>
    <map_variables variable_2="v19" variable_1="v19"/>
  </connection>
  
  <connection>
    <map_components component_2="v19" component_1="R_Sh_G_S"/>
    <map_variables variable_2="R_Sh_G_S" variable_1="R_Sh_G_S"/>
    <map_variables variable_2="v19" variable_1="v19"/>
  </connection> 
  
  <connection>
    <map_components component_2="v20" component_1="R_Sh_G_S"/>
    <map_variables variable_2="R_Sh_G_S" variable_1="R_Sh_G_S"/>
    <map_variables variable_2="v20" variable_1="v20"/>
  </connection> 
  
  <connection>
    <map_components component_2="v24" component_1="R_Sh_G_S"/>
    <map_variables variable_2="R_Sh_G_S" variable_1="R_Sh_G_S"/>
    <map_variables variable_2="v24" variable_1="v24"/>
  </connection> 
  
  <connection>
    <map_components component_2="v11" component_1="G_S"/>
    <map_variables variable_2="G_S" variable_1="G_S"/>
    <map_variables variable_2="v11" variable_1="v11"/>
  </connection>
  
  <connection>
    <map_components component_2="v23" component_1="G_S"/>
    <map_variables variable_2="G_S" variable_1="G_S"/>
    <map_variables variable_2="v23" variable_1="v23"/>
  </connection>
  
  <connection>
    <map_components component_2="v12" component_1="G_S"/>
    <map_variables variable_2="G_S" variable_1="G_S"/>
    <map_variables variable_2="v12" variable_1="v12"/>
  </connection>
  
  <connection>
    <map_components component_2="v24" component_1="G_S"/>
    <map_variables variable_2="G_S" variable_1="G_S"/>
    <map_variables variable_2="v24" variable_1="v24"/>
  </connection>
  
  <connection>
    <map_components component_2="v20" component_1="Sh_G_S"/>
    <map_variables variable_2="Sh_G_S" variable_1="Sh_G_S"/>
    <map_variables variable_2="v20" variable_1="v20"/>
  </connection>
  
  <connection>
    <map_components component_2="v22" component_1="Sh_G_S"/>
    <map_variables variable_2="Sh_G_S" variable_1="Sh_G_S"/>
    <map_variables variable_2="v22" variable_1="v22"/>
  </connection>
  
  <connection>
    <map_components component_2="v23" component_1="Sh_G_S"/>
    <map_variables variable_2="Sh_G_S" variable_1="Sh_G_S"/>
    <map_variables variable_2="v23" variable_1="v23"/>
  </connection>
  
  <connection>
    <map_components component_2="v15" component_1="ShP"/>
    <map_variables variable_2="ShP" variable_1="ShP"/>
    <map_variables variable_2="v15" variable_1="v15"/>
  </connection> 
  
  <connection>
    <map_components component_2="v23" component_1="ShP"/>
    <map_variables variable_2="ShP" variable_1="ShP"/>
    <map_variables variable_2="v23" variable_1="v23"/>
  </connection>
  
  <connection>
    <map_components component_2="v21" component_1="ShP"/>
    <map_variables variable_2="ShP" variable_1="ShP"/>
    <map_variables variable_2="v21" variable_1="v21"/>
  </connection>
  
  <connection>
    <map_components component_2="v16" component_1="ShP"/>
    <map_variables variable_2="ShP" variable_1="ShP"/>
    <map_variables variable_2="v16" variable_1="v16"/>
  </connection>
  
  <connection>
    <map_components component_2="v18" component_1="Sh_G"/>
    <map_variables variable_2="Sh_G" variable_1="Sh_G"/>
    <map_variables variable_2="v18" variable_1="v18"/>
  </connection>
  
  <connection>
    <map_components component_2="v21" component_1="Sh_G"/>
    <map_variables variable_2="Sh_G" variable_1="Sh_G"/>
    <map_variables variable_2="v21" variable_1="v21"/>
  </connection>
  
  <connection>
    <map_components component_2="v22" component_1="Sh_G"/>
    <map_variables variable_2="Sh_G" variable_1="Sh_G"/>
    <map_variables variable_2="v22" variable_1="v22"/>
  </connection>
  
  <connection>
    <map_components component_2="v8" component_1="PLC_gamma"/>
    <map_variables variable_2="v8" variable_1="v8"/>
  </connection> 
  
  <connection>
    <map_components component_2="v5" component_1="PLC_gamma"/>
    <map_variables variable_2="PLC_gamma" variable_1="PLC_gamma"/>
    <map_variables variable_2="v5" variable_1="v5"/>
  </connection> 
  
  <connection>
    <map_components component_2="v7" component_1="PLC_gamma_P"/>
    <map_variables variable_2="PLC_gamma_P" variable_1="PLC_gamma_P"/>
    <map_variables variable_2="v7" variable_1="v7"/>
  </connection>
  
  <connection>
    <map_components component_2="v8" component_1="PLC_gamma_P"/>
    <map_variables variable_2="PLC_gamma_P" variable_1="PLC_gamma_P"/>
    <map_variables variable_2="v8" variable_1="v8"/>
  </connection>
  
  <connection>
    <map_components component_2="v25" component_1="PLC_gamma_P"/>
    <map_variables variable_2="PLC_gamma_P" variable_1="PLC_gamma_P"/>
    <map_variables variable_2="v25" variable_1="v25"/>
  </connection>
  
  <connection>
    <map_components component_2="v25" component_1="PLC_gamma_P_I"/>
    <map_variables variable_2="PLC_gamma_P_I" variable_1="PLC_gamma_P_I"/>
    <map_variables variable_2="v25" variable_1="v25"/>
  </connection> 
  
  <connection>
    <map_components component_2="v12" component_1="Grb"/>
    <map_variables variable_2="Grb" variable_1="Grb"/>
    <map_variables variable_2="v12" variable_1="v12"/>
  </connection>
  
  <connection>
    <map_components component_2="v9" component_1="Grb"/>
    <map_variables variable_2="Grb" variable_1="Grb"/>
    <map_variables variable_2="v9" variable_1="v9"/>
  </connection>
  
  <connection>
    <map_components component_2="v17" component_1="Grb"/>
    <map_variables variable_2="Grb" variable_1="Grb"/>
    <map_variables variable_2="v17" variable_1="v17"/>
  </connection>
  
  <connection>
    <map_components component_2="v21" component_1="Grb"/>
    <map_variables variable_2="Grb" variable_1="Grb"/>
    <map_variables variable_2="v21" variable_1="v21"/>
  </connection>
  
  <connection>
    <map_components component_2="v16" component_1="Shc"/>
    <map_variables variable_2="v16" variable_1="v16"/>
  </connection> 
  
  <connection>
    <map_components component_2="v13" component_1="Shc"/>
    <map_variables variable_2="Shc" variable_1="Shc"/>
    <map_variables variable_2="v13" variable_1="v13"/>
  </connection> 
  
  <connection>
    <map_components component_2="v12" component_1="SOS"/>
    <map_variables variable_2="SOS" variable_1="SOS"/>
    <map_variables variable_2="v12" variable_1="v12"/>
  </connection>
  
  <connection>
    <map_components component_2="v10" component_1="SOS"/>
    <map_variables variable_2="SOS" variable_1="SOS"/>
    <map_variables variable_2="v10" variable_1="v10"/>
  </connection>
  
  <connection>
    <map_components component_2="v19" component_1="SOS"/>
    <map_variables variable_2="SOS" variable_1="SOS"/>
    <map_variables variable_2="v19" variable_1="v19"/>
  </connection>
  
  <connection>
    <map_components component_2="v22" component_1="SOS"/>
    <map_variables variable_2="SOS" variable_1="SOS"/>
    <map_variables variable_2="v22" variable_1="v22"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="EGF"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="Ra"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R2"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="RP"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R_PL"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R_PLP"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R_G"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R_G_S"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R_Sh"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R_ShP"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R_Sh_G"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="R_Sh_G_S"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="G_S"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="ShP"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="Sh_G"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="PLC_gamma"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="PLC_gamma_P"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="PLC_gamma_P_I"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="Grb"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="Shc"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="SOS"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="Sh_G_S"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  






<rdf:RDF>
  <rdf:Seq rdf:about="rdf:#2299b928-aa68-4f2e-9280-c4af5395ec79">
    <rdf:li rdf:resource="rdf:#250ceb91-1774-4728-88ad-61815353d725"/>
    <rdf:li rdf:resource="rdf:#d8fdea5c-f0d1-45fa-93a6-c70af295f8e8"/>
    <rdf:li rdf:resource="rdf:#3ca3d51a-3943-411a-8bb8-29658f4c30d3"/>
    <rdf:li rdf:resource="rdf:#f5738461-b455-4a75-87c6-f079c4f6def7"/>
  </rdf:Seq>
  <rdf:Description rdf:about="/PLC_gamma_P">
    <dcterms:alternative>phosphorylated phospholipase C-gamma</dcterms:alternative>
    <dc:title>PLC_gamma_P</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/RP">
    <dcterms:alternative>phosphorylated EGF-EGFR complex dimer</dcterms:alternative>
    <dc:title>RP</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:publisher>
        The University of Auckland, Bioengineering Institute
      </dc:publisher>
    <dcterms:created rdf:resource="rdf:#581cb09e-5213-413f-87b9-19895d9b7054"/>
    <dc:creator rdf:resource="rdf:#8ff9c122-0129-49fe-ada1-f5f54453edca"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#8ff9c122-0129-49fe-ada1-f5f54453edca">
    <vCard:ORG rdf:resource="rdf:#66b05c96-f16b-4e2f-bb3e-89515d299fd3"/>
    <vCard:EMAIL rdf:resource="rdf:#77186976-1a40-40e8-86d6-6e056c631eae"/>
    <vCard:N rdf:resource="rdf:#c7f192c2-5ced-4d83-9187-a9d34c73dba6"/>
  </rdf:Description>
  <rdf:Description rdf:about="/R">
    <dcterms:alternative>epidermal growth factor receptor</dcterms:alternative>
    <dc:title>R</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#232a49e5-be6e-40ac-8e79-1973fdd34ad5">
    <dc:creator rdf:resource="rdf:#e647b180-0f19-4980-92be-ab1dd7fd763b"/>
    <rdf:value>
          This is the CellML description of Kholodenko et al.'s 1999 
          mathematical model of the kinetics of EGFR signalling.
        </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c7f192c2-5ced-4d83-9187-a9d34c73dba6">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="/EGF">
    <dcterms:alternative>epidermal growth factor</dcterms:alternative>
    <dc:title>EGF</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/Grb">
    <dcterms:alternative>growth factor receptor-binding protein 2</dcterms:alternative>
    <dc:title>Grb</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#77186976-1a40-40e8-86d6-6e056c631eae">
    <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="/R_PLP">
    <dcterms:alternative>double phosphorylated EGF-EGFR-PLC complex</dcterms:alternative>
    <dc:title>R_PLP</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/PLC_gamma">
    <dcterms:alternative>phospholipase C-gamma</dcterms:alternative>
    <dc:title>PLC_gamma</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/Sh_G">
    <dcterms:alternative>Shc-Grb2 complex</dcterms:alternative>
    <dc:title>Sh_G</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/G_S">
    <dcterms:alternative>Grb2-SOS complex</dcterms:alternative>
    <dc:title>G_S</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/R_G">
    <dcterms:alternative>phosphotyrosine-Grb2 complex</dcterms:alternative>
    <dc:title>R_G</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/R_Sh_G_S">
    <dcterms:alternative>EGFR-Shc-Grb2-SOS complex</dcterms:alternative>
    <dc:title>R_Sh_G_S</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/Ra">
    <dcterms:alternative>EGF-EGFR complex</dcterms:alternative>
    <dc:title>Ra</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#f5738461-b455-4a75-87c6-f079c4f6def7">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#c37e76af-d0c6-4cb6-b389-222fbb883a41"/>
  </rdf:Description>
  <rdf:Description rdf:about="/R_ShP">
    <dcterms:alternative>phosphorylated EGFR-Shc complex</dcterms:alternative>
    <dc:title>R_ShP</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/R_G_S">
    <dcterms:alternative>phosphotyrosine-Grb2-SOS complex</dcterms:alternative>
    <dc:title>R_G_S</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fe137e13-e364-4dcc-a5ae-ebd71bf2d838">
    <dcterms:W3CDTF>1999-10-15</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="/R_Sh">
    <dcterms:alternative>EGFR-Shc complex</dcterms:alternative>
    <dc:title>R_Sh</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/PLC_gamma_P_I">
    <dcterms:alternative>bound phosphorylated phospholipase C-gamma</dcterms:alternative>
    <dc:title>PLC_gamma_P_I</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#51b7c4d0-03da-4670-9ede-fd3be884f3d9">
    <dc:title>The Journal of Biological Chemistry</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e647b180-0f19-4980-92be-ab1dd7fd763b">
    <vCard:FN>Catherine Lloyd</vCard:FN>
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  <rdf:Description rdf:about="rdf:#5e97c58b-98ed-4d7f-8bfc-bb544379e92a">
    <vCard:Given>Boris</vCard:Given>
    <vCard:Family>Kholodenko</vCard:Family>
    <vCard:Other>N</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="/Shc">
    <dcterms:alternative>Src homology and collagen domain protein</dcterms:alternative>
    <dc:title>Shc</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c37e76af-d0c6-4cb6-b389-222fbb883a41">
    <vCard:Given>Jan</vCard:Given>
    <vCard:Family>Hoek</vCard:Family>
    <vCard:Other>B</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3711c06c-af94-4436-8182-2447703dbc97">
    <vCard:Given>Gisela</vCard:Given>
    <vCard:Family>Moehren</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="#kholodenko_demin_moehren_hoek_1999_version01">
    <dc:title>
        Kholodenko et al.'s 1999 mathematical model of the kinetics of EGFR 
        signalling.
      </dc:title>
    <cmeta:comment rdf:resource="rdf:#232a49e5-be6e-40ac-8e79-1973fdd34ad5"/>
    <bqs:reference rdf:resource="rdf:#6144bbcf-44f3-4b19-9e6b-d7e1a3bee21d"/>
    <bqs:reference rdf:resource="rdf:#b20c8ca9-97b7-4cc2-8841-0986bf93244e"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e80a4964-ef34-443d-b0e2-f4075ea545a0">
    <vCard:Given>Oleg</vCard:Given>
    <vCard:Family>Demin</vCard:Family>
    <vCard:Other>V</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="/R_PL">
    <dcterms:alternative>phosphorylated EGF-EGFR-PLC complex</dcterms:alternative>
    <dc:title>R_PL</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#6c57e897-7cdc-4645-b745-85746d47f754">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value>signal transduction</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#66b05c96-f16b-4e2f-bb3e-89515d299fd3">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="/Sh_G_S">
    <dcterms:alternative>Shc-Grb2-SOS complex</dcterms:alternative>
    <dc:title>Sh_G_S</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="/R2">
    <dcterms:alternative>EGF-EGFR complex dimer</dcterms:alternative>
    <dc:title>R2</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#581cb09e-5213-413f-87b9-19895d9b7054">
    <dcterms:W3CDTF>2003-10-06</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#6144bbcf-44f3-4b19-9e6b-d7e1a3bee21d">
    <bqs:Pubmed_id>10514507</bqs:Pubmed_id>
    <bqs:JournalArticle rdf:resource="rdf:#a58e90ec-394c-4f7a-a983-7ef96325b6f6"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#250ceb91-1774-4728-88ad-61815353d725">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#5e97c58b-98ed-4d7f-8bfc-bb544379e92a"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3ca3d51a-3943-411a-8bb8-29658f4c30d3">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#3711c06c-af94-4436-8182-2447703dbc97"/>
  </rdf:Description>
  <rdf:Description rdf:about="/SOS">
    <dcterms:alternative>Son of Sevenless homolog protein</dcterms:alternative>
    <dc:title>SOS</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d8fdea5c-f0d1-45fa-93a6-c70af295f8e8">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#e80a4964-ef34-443d-b0e2-f4075ea545a0"/>
  </rdf:Description>
  <rdf:Description rdf:about="/R_Sh_G">
    <dcterms:alternative>EGFR-Shc-Grb2 complex</dcterms:alternative>
    <dc:title>R_Sh_G</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a58e90ec-394c-4f7a-a983-7ef96325b6f6">
    <dc:creator rdf:resource="rdf:#2299b928-aa68-4f2e-9280-c4af5395ec79"/>
    <dc:title>
            Quantification of short term signalling by the epidermal growth 
            factor receptor
          </dc:title>
    <bqs:volume>274</bqs:volume>
    <bqs:first_page>30169</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#51b7c4d0-03da-4670-9ede-fd3be884f3d9"/>
    <dcterms:issued rdf:resource="rdf:#fe137e13-e364-4dcc-a5ae-ebd71bf2d838"/>
    <bqs:last_page>30181</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="/ShP">
    <dcterms:alternative>phosphorylated Shc</dcterms:alternative>
    <dc:title>ShP</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b20c8ca9-97b7-4cc2-8841-0986bf93244e">
    <dc:subject rdf:resource="rdf:#6c57e897-7cdc-4645-b745-85746d47f754"/>
  </rdf:Description>
</rdf:RDF>
</model>