- Author:
- Hashem Yousefi <hyou267@aucklanduni.ac.nz>
- Date:
- 2016-03-10 12:47:21+13:00
- Desc:
- Simple gorwth model
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/27a/rawfile/575189dca056d01f63fe2bddd9d66eb0f775138d/mooneyrivlin.cellml
<?xml version="1.0" encoding="iso-8859-1"?>
<model
name="MooneyRivlin"
cmeta:id="MooneyRivlin"
xmlns="http://www.cellml.org/cellml/1.0#"
xmlns:cellml="http://www.cellml.org/cellml/1.0#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#"
xmlns:bqs="http://www.cellml.org/bqs/1.0#"
xmlns:dc="http://purl.org/dc/elements/1.1/"
xmlns:dcterms="http://purl.org/dc/terms/"
xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">
<!-- metadata about the CellML document itself -->
<rdf:Description rdf:about="">
<dc:creator rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Nickerson</vCard:Family>
<vCard:Given>David</vCard:Given>
</vCard:N>
<vCard:EMAIL rdf:parseType="Resource">
<rdf:value>d.nickerson@auckland.ac.nz</rdf:value>
<rdf:type rdf:resource="http://imc.org/vCard/3.0#internet" />
</vCard:EMAIL>
<vCard:ORG rdf:parseType="Resource">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
</vCard:ORG>
</dc:creator>
<dcterms:created rdf:parseType="Resource">
<dcterms:W3CDTF>2003-11-28</dcterms:W3CDTF>
</dcterms:created>
</rdf:Description>
<!-- description of the model -->
<rdf:Description rdf:about="#MooneyRivlin">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
This is a CellML version of the Mooney-Rivlin constitutive material law,
defining the relation between the eight independent strain components
and the stress components. It is assumed that the strain components
will be controlled externally by the application using this CellML
model.
</rdf:value>
</cmeta:comment>
<bqs:reference>
<bqs:Pubmed_id>pubmed_id</bqs:Pubmed_id>
<bqs:JournalArticle rdf:parseType="Resource">
<dc:creator>
<rdf:Seq>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Master</vCard:Family>
<vCard:Given>Andre</vCard:Given>
<vCard:Other>T</vCard:Other>
</vCard:N>
</bqs:Person>
</rdf:li>
<rdf:li rdf:parseType="Resource">
<bqs:Person rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Bob</vCard:Family>
<vCard:Given>Billy</vCard:Given>
</vCard:N>
</bqs:Person>
</rdf:li>
</rdf:Seq>
</dc:creator>
<dc:title>
What cool article to reference ??
</dc:title>
<dcterms:issued rdf:parseType="Resource">
<dcterms:W3CDTF>year</dcterms:W3CDTF>
</dcterms:issued>
<bqs:Journal rdf:parseType="Resource">
<dc:title>The Journal of Cool Stuff</dc:title>
</bqs:Journal>
<bqs:volume>volume</bqs:volume>
<bqs:first_page>1</bqs:first_page>
<bqs:last_page>1000</bqs:last_page>
</bqs:JournalArticle>
</bqs:reference>
</rdf:Description>
</rdf:RDF>
<!-- Global units -->
<units name="strain">
<unit units="dimensionless"/>
</units>
<units name="stress">
<unit units="dimensionless"/>
</units>
<units name="pole">
<unit units="dimensionless"/>
</units>
<units name="curvature">
<unit units="dimensionless"/>
</units>
<units name="scale">
<unit units="dimensionless"/>
</units>
<component name="interface" cmeta:id="interface">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#interface">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
We'll use this component as the "interface" to the model, all
other components are hidden via encapsulation in this component.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<!-- Variables we expect to be set/controlled externally -->
<variable name="E11" units="strain" initial_value="0" private_interface="out"/>
<variable name="E22" units="strain" initial_value="0" private_interface="out"/>
<variable name="E33" units="strain" initial_value="0" private_interface="out"/>
<variable name="E12" units="strain" initial_value="0" private_interface="out"/>
<variable name="E13" units="strain" initial_value="0" private_interface="out"/>
<variable name="E23" units="strain" initial_value="0" private_interface="out"/>
<variable name="c1" units="strain" initial_value="2" private_interface="out"/>
<variable name="c2" units="strain" initial_value="6" private_interface="out"/>
<!-- Variables we want to make available externally -->
<variable name="Tdev11" units="stress" initial_value="0" public_interface="out" private_interface="in"/>
<variable name="Tdev22" units="stress" initial_value="0" public_interface="out" private_interface="in"/>
<variable name="Tdev33" units="stress" initial_value="0" public_interface="out" private_interface="in"/>
<variable name="Tdev12" units="stress" initial_value="0" public_interface="out" private_interface="in"/>
<variable name="Tdev13" units="stress" initial_value="0" public_interface="out" private_interface="in"/>
<variable name="Tdev23" units="stress" initial_value="0" public_interface="out" private_interface="in"/>
</component> <!--interface-->
<component name="equations" cmeta:id="equations">
<rdf:RDF
xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"
xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="#equations">
<cmeta:comment rdf:parseType="Resource">
<rdf:value>
In this simple model we only have one component, which holds the
six equations.
</rdf:value>
</cmeta:comment>
</rdf:Description>
</rdf:RDF>
<!-- Inputs -->
<variable name="E11" units="strain" public_interface="in"/>
<variable name="E22" units="strain" public_interface="in"/>
<variable name="E33" units="strain" public_interface="in"/>
<variable name="E12" units="strain" public_interface="in"/>
<variable name="E13" units="strain" public_interface="in"/>
<variable name="E23" units="strain" public_interface="in"/>
<variable name="c1" units="strain" public_interface="in"/>
<variable name="c2" units="strain" public_interface="in"/>
<!-- Outputs computed here -->
<variable name="Tdev11" units="stress" public_interface="out"/>
<variable name="Tdev22" units="stress" public_interface="out"/>
<variable name="Tdev33" units="stress" public_interface="out"/>
<variable name="Tdev12" units="stress" public_interface="out"/>
<variable name="Tdev13" units="stress" public_interface="out"/>
<variable name="Tdev23" units="stress" public_interface="out"/>
<!-- Temporary variables -->
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev11_calculation_eq">
<apply id="Tdev11_calculation"><eq/>
<ci>Tdev11</ci>
<apply><plus/>
<apply><times/>
<cn cellml:units="strain">2.0</cn>
<ci>c1</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">4.0</cn>
<ci>c2</ci>
<apply><plus/>
<ci>E22</ci>
<ci>E33</ci>
</apply>
</apply>
<apply><times/>
<cn cellml:units="strain">4</cn>
<ci>c2</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev22_calculation_eq">
<apply id="Tdev22_calculation"><eq/>
<ci>Tdev22</ci>
<apply><plus/>
<apply><times/>
<cn cellml:units="strain">2.0</cn>
<ci>c1</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">4.0</cn>
<ci>c2</ci>
<apply><plus/>
<ci>E11</ci>
<ci>E33</ci>
</apply>
</apply>
<apply><times/>
<cn cellml:units="strain">4</cn>
<ci>c2</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev33_calculation_eq">
<apply id="Tdev33_calculation"><eq/>
<ci>Tdev33</ci>
<apply><plus/>
<apply><times/>
<cn cellml:units="strain">2.0</cn>
<ci>c1</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">4.0</cn>
<ci>c2</ci>
<apply><plus/>
<ci>E11</ci>
<ci>E22</ci>
</apply>
</apply>
<apply><times/>
<cn cellml:units="strain">4</cn>
<ci>c2</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev12_calculation_eq">
<apply id="Tdev12_calculation"><eq/>
<ci>Tdev12</ci>
<apply><minus/>
<apply><times/>
<cn cellml:units="strain">4.0</cn>
<ci>E12</ci>
<ci>c2</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev13_calculation_eq">
<apply id="Tdev13_calculation"><eq/>
<ci>Tdev13</ci>
<apply><minus/>
<apply><times/>
<cn cellml:units="strain">4.0</cn>
<ci>E13</ci>
<ci>c2</ci>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev23_calculation_eq">
<apply id="Tdev23_calculation"><eq/>
<ci>Tdev23</ci>
<apply><minus/>
<apply><times/>
<cn cellml:units="strain">4.0</cn>
<ci>E23</ci>
<ci>c2</ci>
</apply>
</apply>
</apply>
</math>
</component><!--membrane-->
<connection>
<map_components component_1="interface" component_2="equations"/>
<map_variables variable_1="E11" variable_2="E11"/>
<map_variables variable_1="E22" variable_2="E22"/>
<map_variables variable_1="E33" variable_2="E33"/>
<map_variables variable_1="E12" variable_2="E12"/>
<map_variables variable_1="E13" variable_2="E13"/>
<map_variables variable_1="E23" variable_2="E23"/>
<map_variables variable_1="Tdev11" variable_2="Tdev11"/>
<map_variables variable_1="Tdev22" variable_2="Tdev22"/>
<map_variables variable_1="Tdev33" variable_2="Tdev33"/>
<map_variables variable_1="Tdev12" variable_2="Tdev12"/>
<map_variables variable_1="Tdev13" variable_2="Tdev13"/>
<map_variables variable_1="Tdev23" variable_2="Tdev23"/>
<map_variables variable_1="c1" variable_2="c1"/>
<map_variables variable_1="c2" variable_2="c2"/>
</connection>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="interface">
<component_ref component="equations"/>
</component_ref>
</group>
</model>
