Location: Karagiannis, Popel, 2006 @ fd1abfb0f5e8 / karagiannis_popel_2006.cellml

Author:

pmr2.import <nobody@models.cellml.org>

Date:

2009-06-17 14:44:32+12:00

Desc:

committing version02 of karagiannis_popel_2006

Permanent Source URI:

https://models.cellml.org/workspace/karagiannis_popel_2006/rawfile/fd1abfb0f5e8a12f80ad44dd45b4913909437e72/karagiannis_popel_2006.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--
This CellML file was generated on 20/06/2007 at 12:39:18 at a.m. using:

COR (0.9.31.649)
Copyright 2002-2007 Dr Alan Garny
http://COR.physiol.ox.ac.uk/ - COR@physiol.ox.ac.uk

CellML 1.0 was used to generate this cellular model
http://www.CellML.org/
--><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="bhalla_model_1999" name="karagiannis_model_2006_version01">

<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Distinct modes of collagen type I proteolysis by matrix metalloproteinase (MMP) 2 and membrane type I MMP during the migration of a tip endothelial cell: insights from a computational model</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 version of the model has been checked in COR and PCEnv and it runs - possibly replicating the published results.  The units have been checked and they are consistent.
    </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
The formation of new biological vessels requires the coordinated assembly of a proliferating syncytium of endothelial cells (EC) at different developmental stages.  Angiogenesis may also be an essential mechanism of blood vessel remodelling which occurs during a diverse range of physiological processes; including tissue regeneration following injury and new vessel formation during muscle exercise.  It can also occur under pathological conditions such as atherosclerosis and the vascularisation of cancerous tumours.
</para>

<para>
Matrix metalloproteinases (MMPs) are a family of enzymes responsible for the proteolytic processing of extracellular matrix (ECM) structural proteins.  During angiogenesis MMPs are expressed by a single endothelial cell at the tip of the new vessel.  These enzymes manifest a proteolytic activity that allows the cells of the new vessle to penetrate the ECM.  In the mathematical model presented here, Karagiannis and Popel investigate the proteolytic potential of such a tip endothelial cell.  The model authors suggest this model provides a foundation for future quantitative studies of angiogenesis in ECMs of different compositions.  The model is described in more detail in the figure below:
</para>

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

<para>
<ulink url="http://www.sciencedirect.com/science?_ob=ArticleURL&amp;_udi=B6WMD-4GJVBHT-2&amp;_user=140507&amp;_coverDate=01%2F07%2F2006&amp;_rdoc=12&amp;_fmt=summary&amp;_orig=browse&amp;_srch=doc-info(%23toc%236932%232006%23997619998%23612742%23FLA%23display%23Volume)&amp;_cdi=6932&amp;_sort=d&amp;_docanchor=&amp;view=c&amp;_ct=21&amp;_acct=C000011498&amp;_version=1&amp;_urlVersion=0&amp;_userid=140507&amp;md5=d5addc907496eab847175a55928184d0">Distinct modes of collagen type I proteolysis by matrix metalloproteinase (MMP) 2 and membrane type I MMP during the migration of a tip endothelial cell: insights from a computational model</ulink>, Emmanouil D. Karagiannis and Aleksander S. Popel, 2006, <ulink url="http://www.elsevier.com/wps/find/journaldescription.cws_home/622904/description#description">
            <emphasis>The Journal of Theoretical Biology</emphasis>
          </ulink>, 238, 124-145. (<ulink url="http://www.sciencedirect.com/science?_ob=ArticleURL&amp;_udi=B6WMD-4GJVBHT-2&amp;_user=140507&amp;_coverDate=01%2F07%2F2006&amp;_rdoc=12&amp;_fmt=full&amp;_orig=browse&amp;_srch=doc-info(%23toc%236932%232006%23997619998%23612742%23FLA%23display%23Volume)&amp;_cdi=6932&amp;_sort=d&amp;_docanchor=&amp;view=c&amp;_ct=21&amp;_acct=C000011498&amp;_version=1&amp;_urlVersion=0&amp;_userid=140507&amp;md5=fc173e34bcf3e139ae316b2c34b309ef">Full text</ulink> and PDF versions of the article are available to subscribers on The Journal of Theoretical Biology website.)  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&amp;db=PubMed&amp;list_uids=16005020&amp;dopt=Abstract">PubMed ID: 16005020</ulink> 
</para>


<informalfigure float="0" id="fig_pathway_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>model diagram</title>
    </objectinfo>
    <imagedata fileref="karagiannis_2006.png"/>
  </imageobject>
</mediaobject>
<caption>A schematic diagram of the signalling pathway.</caption>
</informalfigure>

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




   <units name="s">
      <unit units="second"/>
   </units>
   <units name="um">
      <unit units="litre" exponent="-1"/>
      <unit units="mole" prefix="micro"/>
   </units>
   <units name="flux">
      <unit units="um"/>
      <unit units="s" exponent="-1"/>
   </units>
   <units name="first_order_rate_constant">
      <unit units="s" exponent="-1"/>
   </units>
   <units name="M">
      <unit units="litre" exponent="-1"/>
      <unit units="mole"/>
   </units>
   <units name="second_order_rate_constant">
      <unit units="s" exponent="-1"/>
      <unit units="um" exponent="-1"/>
   </units>
   <component name="environment">
      <variable units="s" public_interface="out" name="t"/>
   </component>
   <component name="Model">
      <variable units="s" public_interface="in" name="t"/>
      <variable units="second_order_rate_constant" name="kM2T2_on" initial_value="5900000"/>
      <variable units="first_order_rate_constant" name="kM2T2_off" initial_value="6.3"/>
      <variable units="first_order_rate_constant" name="kM2T2_iso" initial_value="33"/>
      <variable units="first_order_rate_constant" name="kM2T2_negativeiso" initial_value="0.00000002"/>
      <variable units="second_order_rate_constant" name="kM2C1_on" initial_value="2600"/>
      <variable units="first_order_rate_constant" name="kM2C1_off" initial_value="0.0021"/>
      <variable units="first_order_rate_constant" name="kM2C1_cat" initial_value="0.0045"/>
      <variable units="second_order_rate_constant" name="kMT1T2_on" initial_value="2980000"/>
      <variable units="first_order_rate_constant" name="kMT1T2_off" initial_value="0.202"/>
      <variable units="second_order_rate_constant" name="kMT1T2M2pro_on" initial_value="140000"/>
      <variable units="first_order_rate_constant" name="kMT1T2M2pro_off" initial_value="0.0047"/>
      <variable units="first_order_rate_constant" name="kM2_act" initial_value="0.02"/>
      <variable units="second_order_rate_constant" name="kMT1_shedeff" initial_value="2800"/>
      <variable units="first_order_rate_constant" name="kMT1C1_cat" initial_value="0.00197"/>
      <variable units="second_order_rate_constant" name="kMT1C1_on" initial_value="1000"/>
      <variable units="first_order_rate_constant" name="kMT1C1_off" initial_value="1"/>
      <variable units="second_order_rate_constant" name="kMT1T2M2proMT1_on" initial_value="3000"/>
      <variable units="first_order_rate_constant" name="kMT1T2M2proMT1_off" initial_value="0.0009"/>
      <variable units="M" name="M2T2" initial_value="0.0000000072"/>
      <variable units="M" name="M2C1" initial_value="0.0000085"/>
      <variable units="M" name="MT1T2" initial_value="0.00000000139"/>
      <variable units="M" name="MT1T2M2proMT1" initial_value="0.00000000056"/>
      <variable units="M" name="MT1C1" initial_value="0.0000029"/>
      <variable units="M" name="M2" initial_value="0"/>
      <variable units="M" name="MT1" initial_value="0"/>
      <variable units="M" name="M2_p" initial_value="0"/>
      <variable units="M" name="T2" initial_value="0"/>
      <variable units="M" name="C1_D" initial_value="0"/>
      <variable units="M" name="C1" initial_value="0"/>
      <variable units="M" name="MT1_cat" initial_value="0"/>
      <variable units="M" name="MT1_t" initial_value="0"/>
      <variable units="M" name="MT1T2M2pro" initial_value="0"/>
      <variable units="flux" name="qMT1" initial_value="0"/>
      <variable units="flux" name="qT2" initial_value="0"/>
      <variable units="flux" name="qpro" initial_value="0"/>
      <variable units="um" name="MT1T2_star" initial_value="0"/>
      <variable units="um" name="M2T2_star" initial_value="0"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>M2</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>kM2T2_on</ci>
                        </apply>
                        <ci>M2</ci>
                        <ci>T2</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>kM2T2_off</ci>
                        <ci>M2T2</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kM2C1_on</ci>
                     <ci>M2</ci>
                     <ci>C1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>kM2C1_off</ci>
                     <ci>kM2C1_cat</ci>
                  </apply>
                  <ci>M2C1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>kM2_act</ci>
                  <ci>MT1T2M2proMT1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>MT1</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <apply>
                              <minus/>
                              <apply>
                                 <minus/>
                                 <ci>qMT1</ci>
                                 <apply>
                                    <times/>
                                    <ci>kMT1_shedeff</ci>
                                    <ci>MT1</ci>
                                    <ci>MT1</ci>
                                 </apply>
                              </apply>
                              <apply>
                                 <times/>
                                 <ci>kMT1T2_on</ci>
                                 <ci>MT1</ci>
                                 <ci>T2</ci>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>kMT1T2_off</ci>
                              <ci>MT1T2</ci>
                           </apply>
                        </apply>
                        <apply>
                           <times/>
                           <ci>kMT1C1_on</ci>
                           <ci>MT1</ci>
                           <ci>C1</ci>
                        </apply>
                     </apply>
                     <apply>
                        <times/>
                        <apply>
                           <plus/>
                           <ci>kMT1C1_off</ci>
                           <ci>kMT1C1_cat</ci>
                        </apply>
                        <ci>MT1C1</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kMT1T2M2proMT1_on</ci>
                     <ci>MT1</ci>
                     <ci>MT1T2M2pro</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kMT1T2M2proMT1_off</ci>
                  <ci>MT1T2M2proMT1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>kM2_act</ci>
                  <ci>MT1T2M2proMT1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>MT1_t</ci>
            </apply>
            <apply>
               <times/>
               <ci>kMT1_shedeff</ci>
               <ci>MT1</ci>
               <ci>MT1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>MT1C1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>kMT1C1_on</ci>
                  <ci>MT1</ci>
                  <ci>C1</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>kMT1C1_off</ci>
                     <ci>kMT1C1_cat</ci>
                  </apply>
                  <ci>MT1C1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>MT1T2</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>kMT1T2_on</ci>
                        <ci>MT1</ci>
                        <ci>T2</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>kMT1T2_off</ci>
                        <ci>MT1T2</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kMT1T2M2pro_on</ci>
                     <ci>MT1T2</ci>
                     <ci>M2_p</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kMT1T2M2pro_off</ci>
                  <ci>MT1T2M2pro</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>MT1T2M2pro</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>kMT1T2M2pro_on</ci>
                        <ci>MT1T2</ci>
                        <ci>M2_p</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>kMT1T2M2pro_off</ci>
                        <ci>MT1T2M2pro</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kMT1T2M2proMT1_on</ci>
                     <ci>MT1</ci>
                     <ci>MT1T2M2pro</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kMT1T2M2proMT1_off</ci>
                  <ci>MT1T2M2proMT1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>MT1T2M2proMT1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <ci>kMT1T2M2proMT1_on</ci>
                     <ci>MT1</ci>
                     <ci>MT1T2M2pro</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kMT1T2M2proMT1_off</ci>
                     <ci>MT1T2M2proMT1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kM2_act</ci>
                  <ci>MT1T2M2proMT1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>C1</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>kMT1C1_on</ci>
                        </apply>
                        <ci>MT1</ci>
                        <ci>C1</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>kMT1C1_off</ci>
                        <ci>MT1C1</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kM2C1_on</ci>
                     <ci>M2</ci>
                     <ci>C1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kM2C1_off</ci>
                  <ci>M2C1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>C1_D</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>kM2C1_cat</ci>
                  <ci>M2C1</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>kMT1C1_cat</ci>
                  <ci>MT1C1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>MT1_cat</ci>
            </apply>
            <apply>
               <times/>
               <ci>kMT1_shedeff</ci>
               <ci>MT1</ci>
               <ci>MT1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>T2</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>kM2T2_on</ci>
                        </apply>
                        <ci>M2</ci>
                        <ci>T2</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>kM2T2_off</ci>
                        <ci>M2T2</ci>
                     </apply>
                     <ci>qT2</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kMT1T2_on</ci>
                     <ci>MT1</ci>
                     <ci>T2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kMT1T2_off</ci>
                  <ci>MT1T2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>M2_p</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <ci>qpro</ci>
                  <apply>
                     <times/>
                     <ci>kMT1T2M2pro_on</ci>
                     <ci>MT1T2</ci>
                     <ci>M2_p</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kMT1T2M2pro_off</ci>
                  <ci>MT1T2M2pro</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>M2T2</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>kM2T2_on</ci>
                        <ci>M2</ci>
                        <ci>T2</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>kM2T2_off</ci>
                        <ci>M2T2</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>kM2T2_iso</ci>
                     <ci>M2T2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>kM2T2_negativeiso</ci>
                  <ci>M2T2_star</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>M2T2_star</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>kM2T2_iso</ci>
                  <ci>M2T2</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>kM2T2_negativeiso</ci>
                  <ci>M2T2_star</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>M2C1</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <times/>
                  <ci>kM2C1_on</ci>
                  <ci>M2</ci>
                  <ci>C1</ci>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <ci>kM2C1_off</ci>
                     <ci>kM2C1_cat</ci>
                  </apply>
                  <ci>M2C1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>t</ci>
               </bvar>
               <ci>MT1T2_star</ci>
            </apply>
            <apply>
               <times/>
               <ci>kM2_act</ci>
               <ci>MT1T2M2proMT1</ci>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_2="environment" component_1="Model"/>
      <map_variables variable_2="t" variable_1="t"/>
   </connection>

<rdf:RDF>
  <rdf:Seq rdf:about="rdf:#d254b5df-8a75-498b-87f9-af51138e2f2c">
    <rdf:li rdf:resource="rdf:#e0483129-551d-4f00-a107-0e111c7463f0"/>
    <rdf:li rdf:resource="rdf:#e5ffec31-c21d-4c11-b42c-f35d558d6515"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#bbe7a8cd-622f-4fe3-8695-b62ed6f43d36">
    <dcterms:W3CDTF>2006-01-07</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#b6e82467-8ac7-4dcf-a5e8-9d66ea48278c">
    <dcterms:W3CDTF>2007-08-27T00:00:00+00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:publisher/>
    <cmeta:comment rdf:resource="rdf:#81ca4b4c-8a9e-490b-ba87-8f3f8978b9ae"/>
    <dcterms:created rdf:resource="rdf:#b6e82467-8ac7-4dcf-a5e8-9d66ea48278c"/>
    <dc:creator rdf:resource="rdf:#a586bdb1-b899-4bd3-b8dd-78b2ca4d888a"/>
    <cmeta:modification rdf:resource="rdf:#2399e3b7-2089-4469-b7a5-0415743eb85d"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#dc3a4c12-5778-4714-ae7a-f166889677f6">
    <dc:title>The Journal of Theoretical Biology</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a586bdb1-b899-4bd3-b8dd-78b2ca4d888a">
    <vCard:ORG rdf:resource="rdf:#ca9d9678-4e5b-4d68-bd15-07752a2ccb96"/>
    <vCard:EMAIL rdf:resource="rdf:#fe1f1b96-2b82-45e7-88ea-b96c3421133e"/>
    <vCard:N rdf:resource="rdf:#da962da4-ac4a-4b92-ac1f-d06ddb7c626d"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e0483129-551d-4f00-a107-0e111c7463f0">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#72276d58-1f9a-49f0-86b5-3e249603e27d"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e5ffec31-c21d-4c11-b42c-f35d558d6515">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#8c30ab00-7bcf-4dda-8454-8ecd25b241b1"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#1f556ae5-8d3f-4dd1-baef-886653e71c94">
    <vCard:FN>Catherine Lloyd</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3f9dc794-6e5b-49b6-84f0-89b05afaf9de">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#5f7da291-d686-4233-9373-9c12e2493c3f">
    <vCard:N rdf:resource="rdf:#3f9dc794-6e5b-49b6-84f0-89b05afaf9de"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#da962da4-ac4a-4b92-ac1f-d06ddb7c626d">
    <vCard:Given>Matthew</vCard:Given>
    <vCard:Family>McCormick</vCard:Family>
    <vCard:Other/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fe1f1b96-2b82-45e7-88ea-b96c3421133e">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>m.mccormick@auckland.ac.nz</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a68258d6-cd5a-4466-8c53-d6b98b59858b">
    <dc:creator rdf:resource="rdf:#84dc990f-40f3-4dc5-b1ef-663571e7a988"/>
    <rdf:value/>
  </rdf:Description>
  <rdf:Description rdf:about="#bhalla_model_1999">
    <bqs:reference rdf:resource="rdf:#8611abeb-7251-4c7c-b77b-d53109cb7a7e"/>
<bqs:reference rdf:parseType="Resource">
  <dc:subject rdf:parseType="Resource">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value>
      <rdf:Bag>
        <rdf:li>signal transduction</rdf:li>
        <rdf:li>cerebral aneurysm</rdf:li>
      </rdf:Bag>
    </rdf:value>
  </dc:subject>
</bqs:reference>
    <cmeta:comment rdf:resource="rdf:#a68258d6-cd5a-4466-8c53-d6b98b59858b"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#9408a46f-72a6-4451-871d-2610c6385d6b">
    <dc:creator rdf:resource="rdf:#d254b5df-8a75-498b-87f9-af51138e2f2c"/>
    <dc:title>Distinct modes of collagen type I proteolysis by matrix metalloproteinase (MMP) 2 and membrane type I MMP during the migration of a tip endothelial cell: insights from a computational model</dc:title>
    <bqs:volume>238</bqs:volume>
    <bqs:first_page>124</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#dc3a4c12-5778-4714-ae7a-f166889677f6"/>
    <dcterms:issued rdf:resource="rdf:#bbe7a8cd-622f-4fe3-8695-b62ed6f43d36"/>
    <bqs:last_page>145</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#84dc990f-40f3-4dc5-b1ef-663571e7a988">
    <vCard:FN/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#81ca4b4c-8a9e-490b-ba87-8f3f8978b9ae">
    <dc:creator rdf:resource="rdf:#1f556ae5-8d3f-4dd1-baef-886653e71c94"/>
    <rdf:value>The model runs in PCEnv - but I'm not 100% sure whether or not it replicates the published results - these are displayed slightly differently.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ca9d9678-4e5b-4d68-bd15-07752a2ccb96">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#8c30ab00-7bcf-4dda-8454-8ecd25b241b1">
    <vCard:Given>Aleksander</vCard:Given>
    <vCard:Family>Popel</vCard:Family>
    <vCard:Other>S</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#aef7d271-e105-4eee-9957-52b39414ae08">
    <dcterms:W3CDTF>2007-10-04T11:51:16+13:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2399e3b7-2089-4469-b7a5-0415743eb85d">
    <dcterms:modified rdf:resource="rdf:#aef7d271-e105-4eee-9957-52b39414ae08"/>
    <rdf:value>I ran the model in COR and corrected the units definitions such that the units are now consistent.</rdf:value>
    <cmeta:modifier rdf:resource="rdf:#5f7da291-d686-4233-9373-9c12e2493c3f"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#72276d58-1f9a-49f0-86b5-3e249603e27d">
    <vCard:Given>Emmanouil</vCard:Given>
    <vCard:Family>Karagiannis</vCard:Family>
    <vCard:Other>D</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#8611abeb-7251-4c7c-b77b-d53109cb7a7e">
    <bqs:Pubmed_id>16005020</bqs:Pubmed_id>
    <bqs:JournalArticle rdf:resource="rdf:#9408a46f-72a6-4451-871d-2610c6385d6b"/>
  </rdf:Description>
</rdf:RDF>
</model>