<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : karagiannis_model_2004.xml
CREATED : 10th December 2007
LAST MODIFIED : 10th December 2007
AUTHOR : Catherine Lloyd
Bioengineering Institute
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.1 Specification.
DESCRIPTION : This file contains a CellML description of Karagiannis and Popel's 2004 mathematical model of collagen type I proteolysis by matrix metalloproteinase (MMP) 2 and membrane type I MMP during the migration of a tip endothelial cell.
CHANGES:
--><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="karagiannis_model_2004" name="karagiannis_model_2004">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>A theoretical model of type I collagen proteolysis by matrix metalloproteinase (MMP) 2 and membrane type 1 MMP in the presence of tissue inhibitor of metalloproteinase 2</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 to replicate the published results. The model is valid CellML and has consistent units. Thank you to Lucie Gatterpaille, Eric Fanchon and Philippe Tracqui for all the time and effort they invested in the final stages of curating this model. Also note they have provided <ulink url="Explanations.txt">supporting text</ulink> and <ulink url="reproduced_karagiannis_popel_2004_figures.pdf">model simulation graphs</ulink> which can be found as two additional files in the model workspace.
</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>
A theoretical model of type I collagen proteolysis by matrix metalloproteinase (MMP) 2 and membrane type 1 MMP in the presence of tissue inhibitor of metalloproteinase 2, Emmanouil D. Karagiannis and Aleksander S. Popel, 2004, <emphasis>The Journal of Biological Chemistry</emphasis>, 279, 39105-39114. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=15252025&dopt=Abstract">PubMed ID: 15252025</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="molar">
<unit units="mole"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="flux">
<unit units="molar"/>
<unit units="second" exponent="-1"/>
</units>
<units name="first_order_rate_constant">
<unit units="second" exponent="-1"/>
</units>
<units name="second_order_rate_constant">
<unit units="second" exponent="-1"/>
<unit units="molar" exponent="-1"/>
</units>
<component name="environment">
<variable name="time" units="second" public_interface="out"/>
</component>
<component name="main">
<variable name="time" units="second" public_interface="in"/>
<variable name="v1" units="flux"/>
<variable name="v2" units="flux"/>
<variable name="v3" units="flux"/>
<variable name="v4" units="flux"/>
<variable name="v5" units="flux"/>
<variable name="v6" units="flux"/>
<variable name="v7" units="flux"/>
<variable name="v8" units="flux"/>
<variable name="v9" units="flux"/>
<variable name="MT1" units="molar" initial_value="100e-9"/>
<variable name="MT1cat" units="molar" initial_value="0"/>
<variable name="MT1T2" units="molar" initial_value="0"/>
<variable name="MT1T2M2P" units="molar" initial_value="0"/>
<variable name="M2P" units="molar" initial_value="50e-9"/>
<variable name="M2" units="molar" initial_value="0"/>
<variable name="M2T2" units="molar" initial_value="0"/>
<variable name="M2T2star" units="molar" initial_value="0"/>
<variable name="M2C1" units="molar" initial_value="0"/>
<variable name="C1" units="molar" initial_value="1e-6"/>
<variable name="C1dmt1" units="molar" initial_value="0"/>
<variable name="C1dm2" units="molar" initial_value="0"/>
<variable name="T2" units="molar" initial_value="50e-9"/>
<variable name="kshed_eff" units="second_order_rate_constant" public_interface="in"/>
<variable name="kon_MT1T2" units="second_order_rate_constant" public_interface="in"/>
<variable name="ki_MT1T2" units="molar" public_interface="in"/>
<variable name="kon_MT1T2M2P" units="second_order_rate_constant" public_interface="in"/>
<variable name="koff_MT1T2M2P" units="first_order_rate_constant" public_interface="in"/>
<variable name="kact_eff_m2" units="second_order_rate_constant" public_interface="in"/>
<variable name="kon_M2T2" units="second_order_rate_constant" public_interface="in"/>
<variable name="ki_M2T2" units="molar" public_interface="in"/>
<variable name="kiso_M2T2" units="first_order_rate_constant" public_interface="in"/>
<variable name="k_iso_M2T2" units="first_order_rate_constant" public_interface="in"/>
<variable name="kon_M2C1" units="second_order_rate_constant" public_interface="in"/>
<variable name="koff_M2C1" units="first_order_rate_constant" public_interface="in"/>
<variable name="kcat_M2C1" units="first_order_rate_constant" public_interface="in"/>
<variable name="kcat_MT1C1" units="first_order_rate_constant" public_interface="in"/>
<variable name="km_MT1C1" units="molar" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>v1</ci>
<apply>
<times/>
<ci>kshed_eff</ci>
<ci>MT1</ci>
<ci>MT1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v2</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>kon_MT1T2</ci>
<ci>MT1</ci>
<ci>T2</ci>
</apply>
<apply>
<times/>
<ci>ki_MT1T2</ci>
<ci>kon_MT1T2</ci>
<ci>MT1T2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v3</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>kon_MT1T2M2P</ci>
<ci>MT1T2</ci>
<ci>M2P</ci>
</apply>
<apply>
<times/>
<ci>koff_MT1T2M2P</ci>
<ci>MT1T2M2P</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v4</ci>
<apply>
<times/>
<ci>kact_eff_m2</ci>
<ci>MT1</ci>
<ci>MT1T2M2P</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v5</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>kon_M2T2</ci>
<ci>M2</ci>
<ci>T2</ci>
</apply>
<apply>
<times/>
<ci>kon_M2T2</ci>
<ci>ki_M2T2</ci>
<ci>M2T2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v6</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>kiso_M2T2</ci>
<ci>M2T2</ci>
</apply>
<apply>
<times/>
<ci>k_iso_M2T2</ci>
<ci>M2T2star</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v7</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>kon_M2C1</ci>
<ci>M2</ci>
<ci>C1</ci>
</apply>
<apply>
<times/>
<ci>koff_M2C1</ci>
<ci>M2C1</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v8</ci>
<apply>
<times/>
<ci>kcat_M2C1</ci>
<ci>M2C1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v9</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>kcat_MT1C1</ci>
<ci>km_MT1C1</ci>
</apply>
<ci>MT1</ci>
<ci>C1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>MT1</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>v1</ci>
</apply>
<ci>v2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>MT1cat</ci>
</apply>
<ci>v1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>MT1T2</ci>
</apply>
<apply>
<minus/>
<ci>v2</ci>
<ci>v3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>MT1T2M2P</ci>
</apply>
<apply>
<minus/>
<ci>v3</ci>
<ci>v4</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>M2P</ci>
</apply>
<apply>
<minus/>
<ci>v3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>M2</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>v4</ci>
<ci>v5</ci>
</apply>
<ci>v7</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>M2T2</ci>
</apply>
<apply>
<minus/>
<ci>v5</ci>
<ci>v6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>M2T2star</ci>
</apply>
<ci>v6</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>M2C1</ci>
</apply>
<apply>
<minus/>
<ci>v7</ci>
<ci>v8</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C1</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>v7</ci>
</apply>
<ci>v9</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C1dmt1</ci>
</apply>
<ci>v9</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C1dm2</ci>
</apply>
<ci>v8</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>T2</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>v2</ci>
</apply>
<ci>v5</ci>
</apply>
</apply>
</math>
</component>
<component name="model_parameters">
<variable name="kshed_eff" units="second_order_rate_constant" initial_value="2.8e3" public_interface="out"/>
<variable name="kon_MT1T2" units="second_order_rate_constant" initial_value="3.54e6" public_interface="out"/>
<variable name="ki_MT1T2" units="molar" initial_value="4.9e-9" public_interface="out"/>
<variable name="kon_MT1T2M2P" units="second_order_rate_constant" initial_value="0.14e6" public_interface="out"/>
<variable name="koff_MT1T2M2P" units="first_order_rate_constant" initial_value="4.7e-3" public_interface="out"/>
<variable name="kact_eff_m2" units="second_order_rate_constant" initial_value="2.8e3" public_interface="out"/>
<variable name="kon_M2T2" units="second_order_rate_constant" initial_value="5.9e6" public_interface="out"/>
<variable name="ki_M2T2" units="molar" initial_value="1.07e-6" public_interface="out"/>
<variable name="kiso_M2T2" units="first_order_rate_constant" initial_value="33" public_interface="out"/>
<variable name="k_iso_M2T2" units="first_order_rate_constant" initial_value="2e-8" public_interface="out"/>
<variable name="kon_M2C1" units="second_order_rate_constant" initial_value="2.6e3" public_interface="out"/>
<variable name="koff_M2C1" units="first_order_rate_constant" initial_value="2.1e-3" public_interface="out"/>
<variable name="kcat_M2C1" units="first_order_rate_constant" initial_value="4.5e-3" public_interface="out"/>
<variable name="kcat_MT1C1" units="first_order_rate_constant" initial_value="1.97e-3" public_interface="out"/>
<variable name="km_MT1C1" units="molar" initial_value="2.9e-6" public_interface="out"/>
</component>
<connection>
<map_components component_1="main" component_2="model_parameters"/>
<map_variables variable_1="kshed_eff" variable_2="kshed_eff"/>
<map_variables variable_1="kon_MT1T2" variable_2="kon_MT1T2"/>
<map_variables variable_1="ki_MT1T2" variable_2="ki_MT1T2"/>
<map_variables variable_1="kon_MT1T2M2P" variable_2="kon_MT1T2M2P"/>
<map_variables variable_1="koff_MT1T2M2P" variable_2="koff_MT1T2M2P"/>
<map_variables variable_1="kact_eff_m2" variable_2="kact_eff_m2"/>
<map_variables variable_1="kon_M2T2" variable_2="kon_M2T2"/>
<map_variables variable_1="ki_M2T2" variable_2="ki_M2T2"/>
<map_variables variable_1="kiso_M2T2" variable_2="kiso_M2T2"/>
<map_variables variable_1="k_iso_M2T2" variable_2="k_iso_M2T2"/>
<map_variables variable_1="kon_M2C1" variable_2="kon_M2C1"/>
<map_variables variable_1="koff_M2C1" variable_2="koff_M2C1"/>
<map_variables variable_1="kcat_M2C1" variable_2="kcat_M2C1"/>
<map_variables variable_1="kcat_MT1C1" variable_2="kcat_MT1C1"/>
<map_variables variable_1="km_MT1C1" variable_2="km_MT1C1"/>
</connection>
<connection>
<map_components component_1="main" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<rdf:RDF 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:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">
<rdf:Bag rdf:about="rdf:#19973935-340d-4b46-8263-8ddb4e920338">
<rdf:li>collagen</rdf:li>
<rdf:li>matrix metalloproteinase</rdf:li>
<rdf:li>signal transduction</rdf:li>
<rdf:li>cerebral aneurysm</rdf:li>
</rdf:Bag>
<rdf:Seq rdf:about="rdf:#9dc06318-1911-4ec4-9c7d-c21e7b34fe65">
<rdf:li rdf:resource="rdf:#85248546-ef36-4a18-8f4c-4ff89e58a8fa"/>
<rdf:li rdf:resource="rdf:#58215505-bf64-4f9e-bdf5-a5fcfab072e1"/>
</rdf:Seq>
<rdf:Description rdf:about="rdf:#178f621a-cfd5-4fd0-84a5-a3752b6ab61d">
<bqs:Pubmed_id>15252025</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#df6eeecd-a6f3-458e-a3d0-8803fbd202ab"/>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:publisher>
The University of Auckland, Bioengineering Institute
</dc:publisher>
<dcterms:created rdf:resource="rdf:#923bc973-84fd-4654-8a0c-08a92dce9f33"/>
<dc:creator rdf:resource="rdf:#05c2a9a8-dc16-4266-91f3-aadf08f5656b"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#05c2a9a8-dc16-4266-91f3-aadf08f5656b">
<vCard:ORG rdf:resource="rdf:#3873f0de-7656-4ec9-8b53-378181e6cf9b"/>
<vCard:EMAIL rdf:resource="rdf:#4a783356-8793-4fc5-8679-0e1a95ffec68"/>
<vCard:N rdf:resource="rdf:#7181e1de-d053-4710-99ea-988e1001bac4"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2f1ff8ed-a006-414d-8e01-cc76ac81f5f3">
<dc:title>
Journal of Biological Chemistry
</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#3873f0de-7656-4ec9-8b53-378181e6cf9b">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4a783356-8793-4fc5-8679-0e1a95ffec68">
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
<rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9ca35d9b-2c72-4859-a214-ada6643e3e8e">
<vCard:Given>Emmanouil</vCard:Given>
<vCard:Family>Karagiannis</vCard:Family>
<vCard:Other>D</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7181e1de-d053-4710-99ea-988e1001bac4">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ab647ae8-e28f-4e7a-9379-98b1418afd3b">
<dc:subject rdf:resource="rdf:#36c62bf3-20b0-4717-90cd-1ccb83710668"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#85248546-ef36-4a18-8f4c-4ff89e58a8fa">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#9ca35d9b-2c72-4859-a214-ada6643e3e8e"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#36c62bf3-20b0-4717-90cd-1ccb83710668">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value rdf:resource="rdf:#19973935-340d-4b46-8263-8ddb4e920338"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#58215505-bf64-4f9e-bdf5-a5fcfab072e1">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#abacce14-8d6f-4a8b-9902-63e61e6a3d94"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5060e338-f564-4668-bd27-87b51839e848">
<dc:creator rdf:resource="rdf:#cbd855ab-41f1-49cc-8060-948b587b7899"/>
<rdf:value>
This is a CellML description of Karagiannis and Popel's 2004 mathematical model of collagen type I proteolysis by matrix metalloproteinase (MMP) 2 and membrane type I MMP during the migration of a tip endothelial cell.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#df6eeecd-a6f3-458e-a3d0-8803fbd202ab">
<dc:creator rdf:resource="rdf:#9dc06318-1911-4ec4-9c7d-c21e7b34fe65"/>
<dc:title>
A theoretical model of type I collagen proteolysis by matrix metalloproteinase (MMP) 2 and membrane type 1 MMP in the presence of tissue inhibitor of metalloproteinase 2
</dc:title>
<bqs:volume>279</bqs:volume>
<bqs:first_page>39105</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#2f1ff8ed-a006-414d-8e01-cc76ac81f5f3"/>
<dcterms:issued rdf:resource="rdf:#e97829ad-8f93-4cd6-88ec-f3470751f4c7"/>
<bqs:last_page>39114</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#abacce14-8d6f-4a8b-9902-63e61e6a3d94">
<vCard:Given>Aleksander</vCard:Given>
<vCard:Family>Popel</vCard:Family>
<vCard:Other>S</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#e97829ad-8f93-4cd6-88ec-f3470751f4c7">
<dcterms:W3CDTF>2004-09-10</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#karagiannis_model_2004">
<dc:title>
Karagiannis and Popel's 2004 mathematical model of collagen type I proteolysis by matrix metalloproteinase (MMP) 2 and membrane type I MMP during the migration of a tip endothelial cell.
</dc:title>
<cmeta:comment rdf:resource="rdf:#5060e338-f564-4668-bd27-87b51839e848"/>
<bqs:reference rdf:resource="rdf:#178f621a-cfd5-4fd0-84a5-a3752b6ab61d"/>
<bqs:reference rdf:resource="rdf:#ab647ae8-e28f-4e7a-9379-98b1418afd3b"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#923bc973-84fd-4654-8a0c-08a92dce9f33">
<dcterms:W3CDTF>2007-12-11</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#cbd855ab-41f1-49cc-8060-948b587b7899">
<vCard:FN>Catherine Lloyd</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="">
<cmeta:modification rdf:parseType="Resource">
<rdf:value>
The CellML model was curated to ensure the results it generates are the same as those generated by the original published model. A full desceription of the curation comments can be found in the associated file "Explanations".
</rdf:value>
<cmeta:modifier rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Gattepaille</vCard:Family>
<vCard:Given>Lucie</vCard:Given>
</vCard:N>
</cmeta:modifier>
<dcterms:modified rdf:parseType="Resource">
<dcterms:W3CDTF>2009-09-30</dcterms:W3CDTF>
</dcterms:modified>
</cmeta:modification>
</rdf:Description>
</rdf:RDF>
</model>