- Author:
- Hanne <Hanne@hanne-nielsens-macbook.local>
- Date:
- 2009-12-11 12:51:06+13:00
- Desc:
- Added images in ai and svg fomrat, removed non pub med reference
- Permanent Source URI:
- https://models.cellml.org/workspace/2d5/rawfile/48597dee526fe65dbfbef7c5c459e2e842292c1d/moore_li_2004.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : moore_model_2004.xml
CREATED : 27th March 2004
LAST MODIFIED : 27th March 2004
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 Moore and Li's 2004 mathematical model for chronic myelogenous leukemia and T cell interaction.
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="moore_li_2004_version01" name="moore_li_2004_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>A Mathematical Model for Chronic Myelogenous Leukemia and T Cell Interaction</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 is the original unchecked version of the model imported from the previous
CellML model repository, 24-Jan-2006.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
Chronic myelogenous leukemia (CML) is a cancer that affects cells circulating in the blood
system. The disease represents approximately 15% of all leukemias in adults. The immune system
is known to play a role in determining the dynamics of CML, and in the publication described
here by Moore and Li (2004), the authors develop a mathematical model which describes the
human immune system's response to CML in a hypothetical patient.
</para>
<para>
The mathematical model (see <xref linkend="fig_reaction_diagram"/> below), consists of a
system of three nonlinear ordinary differential equations. These equations consider the rates
of change for naive and effector T cells, as well as the CML cancer cell population. The
parameter values are based on experimental data and estimates. Model simulation results suggest
that changes in most parameters, such as naive and effector T cell death rates, have little
effect on the long-term outcome of the system. However, changes in the CML cancer growth rate
or death rate, result in significantly different outcomes of the system.
</para>
<para>
The model has been described here in CellML (the raw CellML description of the Moore and Li 2004 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>
A mathematical model for chronic myelogenous leukemia (CML) and T cell interaction, Helen Moore and Natasha K. Li, 2004, <emphasis>Journal of Theoretical Biology</emphasis>, 11, 369-391. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=15038986&dopt=Abstract">PubMed ID: 15038986</ulink>
</para>
<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>reaction diagram</title>
</objectinfo>
<imagedata fileref="moore_2004.png"/>
</imageobject>
<caption>
Cell population diagram showing the population dynamics of each cell type and how they interact with each other. These dynamics and interactions are described by the mathematical model equations.
</caption>
</mediaobject>
</informalfigure>
</sect1>
</article>
</documentation>
<units name="day">
<unit units="second" multiplier="86400.0"/>
</units>
<units name="first_order_rate_constant">
<unit units="day" exponent="-1"/>
</units>
<units base_units="yes" name="cells"/>
<units name="cells_per_microlitre">
<unit units="cells"/>
<unit units="litre" prefix="micro" exponent="-1"/>
</units>
<units name="flux">
<unit units="cells"/>
<unit units="litre" prefix="micro" exponent="-1"/>
<unit units="day" exponent="-1"/>
</units>
<units name="microlitre_per_cells_day">
<unit units="litre" prefix="micro"/>
<unit units="cells" exponent="-1"/>
<unit units="day" exponent="-1"/>
</units>
<component name="environment">
<variable units="day" public_interface="out" name="time"/>
</component>
<component cmeta:id="Tn" name="Tn">
<rdf:RDF>
<rdf:Description rdf:about="Tn">
<dc:title>Tn</dc:title>
<dcterms:alternative>naive T cells</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable units="cells_per_microlitre" public_interface="out" name="Tn" initial_value="1510.0"/>
<variable units="flux" name="sn" initial_value="0.073"/>
<variable units="first_order_rate_constant" name="dn" initial_value="0.040"/>
<variable units="first_order_rate_constant" public_interface="in" name="kn"/>
<variable units="cells_per_microlitre" public_interface="in" name="eta"/>
<variable units="cells_per_microlitre" public_interface="in" name="C"/>
<variable units="day" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Tn</ci>
</apply>
<apply>
<minus/>
<ci> sn </ci>
<apply>
<plus/>
<apply>
<times/>
<ci> dn </ci>
<ci> Tn </ci>
</apply>
<apply>
<times/>
<ci> kn </ci>
<ci> Tn </ci>
<apply>
<divide/>
<ci> C </ci>
<apply>
<plus/>
<ci> C </ci>
<ci> eta </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="Te" name="Te">
<rdf:RDF>
<rdf:Description rdf:about="Te">
<dc:title>Te</dc:title>
<dcterms:alternative>effector T cells specific to CML</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable units="cells_per_microlitre" public_interface="out" name="Te" initial_value="20.0"/>
<variable units="dimensionless" name="alpha_n" initial_value="0.41"/>
<variable units="first_order_rate_constant" name="alpha_e" initial_value="0.2"/>
<variable units="first_order_rate_constant" name="de" initial_value="0.06"/>
<variable units="microlitre_per_cells_day" name="gamma_e" initial_value="0.005"/>
<variable units="first_order_rate_constant" public_interface="in" name="kn"/>
<variable units="cells_per_microlitre" public_interface="in" name="eta"/>
<variable units="cells_per_microlitre" public_interface="in" name="C"/>
<variable units="cells_per_microlitre" public_interface="in" name="Tn"/>
<variable units="day" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Te</ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<ci> alpha_n </ci>
<ci> kn </ci>
<ci> Tn </ci>
<apply>
<divide/>
<ci> C </ci>
<apply>
<plus/>
<ci> C </ci>
<ci> eta </ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci> alpha_e </ci>
<ci> Te </ci>
<apply>
<divide/>
<ci> C </ci>
<apply>
<plus/>
<ci> C </ci>
<ci> eta </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci> de </ci>
<ci> Te </ci>
</apply>
<apply>
<times/>
<ci> gamma_e </ci>
<ci> C </ci>
<ci> Te </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="C" name="C">
<rdf:RDF>
<rdf:Description rdf:about="C">
<dc:title>C</dc:title>
<dcterms:alternative>chronic myelogenous leukemia (CML) cancer cells</dcterms:alternative>
</rdf:Description>
</rdf:RDF>
<variable units="cells_per_microlitre" public_interface="out" name="C" initial_value="10000.0"/>
<variable units="cells_per_microlitre" name="Cmax" initial_value="3.0E5"/>
<variable units="first_order_rate_constant" name="rc" initial_value="0.03"/>
<variable units="first_order_rate_constant" name="dc" initial_value="0.2"/>
<variable units="microlitre_per_cells_day" name="gamma_c" initial_value="0.005"/>
<variable units="cells_per_microlitre" public_interface="in" name="Te"/>
<variable units="day" public_interface="in" name="time"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> rc </ci>
<ci> C </ci>
<apply>
<ln/>
<apply>
<divide/>
<ci> Cmax </ci>
<ci> C </ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci> dc </ci>
<ci> C </ci>
</apply>
<apply>
<times/>
<ci> gamma_c </ci>
<ci> C </ci>
<ci> Te </ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="model_parameters">
<variable units="first_order_rate_constant" public_interface="out" name="kn" initial_value="0.001"/>
<variable units="cells_per_microlitre" public_interface="out" name="eta" initial_value="100.0"/>
</component>
<connection>
<map_components component_2="environment" component_1="Tn"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="Te"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="environment" component_1="C"/>
<map_variables variable_2="time" variable_1="time"/>
</connection>
<connection>
<map_components component_2="Tn" component_1="model_parameters"/>
<map_variables variable_2="kn" variable_1="kn"/>
<map_variables variable_2="eta" variable_1="eta"/>
</connection>
<connection>
<map_components component_2="Te" component_1="model_parameters"/>
<map_variables variable_2="kn" variable_1="kn"/>
<map_variables variable_2="eta" variable_1="eta"/>
</connection>
<connection>
<map_components component_2="C" component_1="Tn"/>
<map_variables variable_2="C" variable_1="C"/>
</connection>
<connection>
<map_components component_2="C" component_1="Te"/>
<map_variables variable_2="Te" variable_1="Te"/>
<map_variables variable_2="C" variable_1="C"/>
</connection>
<connection>
<map_components component_2="Tn" component_1="Te"/>
<map_variables variable_2="Tn" variable_1="Tn"/>
</connection>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Bag rdf:about="rdf:#2d21808a-1b91-4741-85c7-1f95235a667d">
<rdf:li>T cell</rdf:li>
<rdf:li>immunology</rdf:li>
<rdf:li>t cell</rdf:li>
<rdf:li>cancer</rdf:li>
</rdf:Bag>
<rdf:Seq rdf:about="rdf:#67e7c4c0-4be2-458d-97f0-980f4e27eb19">
<rdf:li rdf:resource="rdf:#ee7b2cab-b0ca-407f-8f40-7fbab6824c86"/>
<rdf:li rdf:resource="rdf:#8d45c880-8322-4699-a01d-b600eaf81253"/>
</rdf:Seq>
<rdf:Description rdf:about="rdf:#19a39640-f856-4b14-8202-2059539fc516">
<bqs:subject_type>keyword</bqs:subject_type>
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</rdf:Description>
<rdf:Description rdf:about="rdf:#4bd57f3b-d972-415f-b1c5-dcabcc9078a8">
<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:#b784e183-a2d7-4b9a-b535-56193bf324a1">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#772c5b02-2381-443d-93f1-dc052b5d5003">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#07facc3f-7e93-4f47-9b8f-9dc281783370">
<vCard:FN>Catherine Lloyd</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4d88ecab-9800-4d91-a070-e022b200c3ae">
<dc:subject rdf:resource="rdf:#19a39640-f856-4b14-8202-2059539fc516"/>
</rdf:Description>
<rdf:Description rdf:about="#moore_li_2004_version01">
<dc:title>
Moore and Li's 2004 mathematical model for chronic myelogenous leukemia and T cell interaction.
</dc:title>
<cmeta:bio_entity>T lymphocyte</cmeta:bio_entity>
<cmeta:comment rdf:resource="rdf:#8649b4d6-f8a9-4736-94c6-e98872398295"/>
<bqs:reference rdf:resource="rdf:#4d88ecab-9800-4d91-a070-e022b200c3ae"/>
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<rdf:Description rdf:about="rdf:#c96a07ad-0ffb-4f96-9589-883fc3d997df">
<bqs:Pubmed_id>15038986</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#7d3ae7e2-66a9-4468-8433-2fd9368938d1"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#36b349de-8251-41b4-9b46-f651b1f32228">
<dcterms:W3CDTF>2004-03-27</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2a0b1381-b6b5-4b08-9644-2c5ff91679de">
<vCard:Given>Helen</vCard:Given>
<vCard:Family>Moore</vCard:Family>
</rdf:Description>
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<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#2a0b1381-b6b5-4b08-9644-2c5ff91679de"/>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:publisher>
The University of Auckland, Bioengineering Institute
</dc:publisher>
<dcterms:created rdf:resource="rdf:#36b349de-8251-41b4-9b46-f651b1f32228"/>
<dc:creator rdf:resource="rdf:#9c4ff941-7a32-4cdd-889a-89e9b2b5f78f"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#8d45c880-8322-4699-a01d-b600eaf81253">
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<vCard:N rdf:resource="rdf:#a7e9d350-4382-45b6-bd3b-01256a0b0e18"/>
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<vCard:ORG rdf:resource="rdf:#772c5b02-2381-443d-93f1-dc052b5d5003"/>
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<dc:creator rdf:resource="rdf:#07facc3f-7e93-4f47-9b8f-9dc281783370"/>
<rdf:value>
This is the CellML description of Moore and Li's 2004 mathematical model for chronic myelogenous leukemia and T cell interaction.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7d3ae7e2-66a9-4468-8433-2fd9368938d1">
<dc:creator rdf:resource="rdf:#67e7c4c0-4be2-458d-97f0-980f4e27eb19"/>
<dc:title>
A mathematical model for chronic myelogenous leukemia (CML) and T cell interaction
</dc:title>
<bqs:volume>227</bqs:volume>
<bqs:first_page>513</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#4a94e2ab-7c70-4fb9-8e1c-f058ba3fa8f8"/>
<dcterms:issued rdf:resource="rdf:#273c0ad7-3920-40ec-b95c-d1bc272dfc2b"/>
<bqs:last_page>523</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#a7e9d350-4382-45b6-bd3b-01256a0b0e18">
<vCard:Given>Natasha</vCard:Given>
<vCard:Family>Li</vCard:Family>
<vCard:Other>K</vCard:Other>
</rdf:Description>
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<dcterms:W3CDTF>2004-04-21</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4a94e2ab-7c70-4fb9-8e1c-f058ba3fa8f8">
<dc:title>Journal of Theoretical Biology</dc:title>
</rdf:Description>
</rdf:RDF>
</model>
