- Author:
- David Nickerson <nickerso@users.sourceforge.net>
- Date:
- 2015-11-09 11:54:02+13:00
- Desc:
- adding version of the Guccione model updated by Vicky Wang to simplify the math and change parameter values to match some data from a rat trabecula
- Permanent Source URI:
- https://models.cellml.org/workspace/guccione_mcculloch_waldman_1991/rawfile/02d64dcabbdd24c22e66e0667eda3460c67e75dd/guccione.cellml
<?xml version="1.0" encoding="iso-8859-1"?>
<model
name="Guccione"
cmeta:id="Guccione"
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#">
<!-- Global units -->
<units name="strain">
<unit units="dimensionless"/>
</units>
<units name="stress">
<unit units="dimensionless"/>
</units>
<component name="interface" cmeta:id="interface">
<!-- Variables we expect to be set/controlled externally -->
<variable name="E11" units="strain" private_interface="out"/>
<variable name="E22" units="strain" private_interface="out"/>
<variable name="E33" units="strain" private_interface="out"/>
<variable name="E12" units="strain" private_interface="out"/>
<variable name="E13" units="strain" private_interface="out"/>
<variable name="E23" units="strain" private_interface="out"/>
<variable name="c1" units="strain" initial_value="0" private_interface="out"/>
<variable name="c2" units="strain" initial_value="0" private_interface="out"/>
<variable name="c3" units="strain" initial_value="0" private_interface="out"/>
<variable name="c4" units="strain" initial_value="0" private_interface="out"/>
<variable name="c5" units="strain" initial_value="0" private_interface="out"/>
<!-- Variables we want to make available externally -->
<variable name="Tdev11" units="stress" public_interface="out" private_interface="in"/>
<variable name="Tdev22" units="stress" public_interface="out" private_interface="in"/>
<variable name="Tdev33" units="stress" public_interface="out" private_interface="in"/>
<variable name="Tdev12" units="stress" public_interface="out" private_interface="in"/>
<variable name="Tdev13" units="stress" public_interface="out" private_interface="in"/>
<variable name="Tdev23" units="stress" public_interface="out" private_interface="in"/>
</component> <!--interface-->
<component name="equations" cmeta:id="equations">
<!-- 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"/>
<variable name="c3" units="strain" public_interface="in"/>
<variable name="c4" units="strain" public_interface="in"/>
<variable name="c5" 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 -->
<variable name="Q" units="strain" public_interface="none" private_interface="none"/>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Q_calculation_eq">
<apply id="Q_calculation"><eq/>
<ci>Q</ci>
<apply><plus/>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c2</ci>
<apply><plus/>
<ci>E11</ci>
<ci>E22</ci>
<ci>E33</ci>
</apply>
</apply>
<apply><times/>
<ci>c3</ci>
<apply><power/>
<ci>E11</ci>
<cn cellml:units="strain">2</cn>
</apply>
</apply>
<apply><times/>
<ci>c4</ci>
<apply><plus/>
<apply><power/>
<ci>E33</ci>
<cn cellml:units="strain">2</cn>
</apply>
<apply><power/>
<ci>E22</ci>
<cn cellml:units="strain">2</cn>
</apply>
<apply><times/>
<apply><power/>
<ci>E23</ci>
<cn cellml:units="strain">2</cn>
</apply>
<cn cellml:units="strain">2</cn>
</apply>
</apply>
</apply>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c5</ci>
<apply><plus/>
<apply><power/>
<ci>E13</ci>
<cn cellml:units="strain">2</cn>
</apply>
<apply><power/>
<ci>E12</ci>
<cn cellml:units="strain">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev11_calculation_eq">
<apply id="Tdev11_calculation"><eq/>
<ci>Tdev11</ci>
<apply><times/>
<cn cellml:units="strain">0.5</cn>
<ci>c1</ci>
<apply><exp/>
<ci>Q</ci>
</apply>
<apply><plus/>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c2</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c3</ci>
<ci>E11</ci>
</apply>
</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><times/>
<cn cellml:units="strain">0.5</cn>
<ci>c1</ci>
<apply><exp/>
<ci>Q</ci>
</apply>
<apply><plus/>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c2</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c4</ci>
<ci>E22</ci>
</apply>
</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><times/>
<cn cellml:units="strain">0.5</cn>
<ci>c1</ci>
<apply><exp/>
<ci>Q</ci>
</apply>
<apply><plus/>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c2</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c4</ci>
<ci>E33</ci>
</apply>
</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><times/>
<cn cellml:units="strain">0.5</cn>
<ci>c1</ci>
<apply><exp/>
<ci>Q</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c5</ci>
<ci>E12</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><times/>
<cn cellml:units="strain">0.5</cn>
<ci>c1</ci>
<apply><exp/>
<ci>Q</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c5</ci>
<ci>E13</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><times/>
<cn cellml:units="strain">0.5</cn>
<ci>c1</ci>
<apply><exp/>
<ci>Q</ci>
</apply>
<apply><times/>
<cn cellml:units="strain">2</cn>
<ci>c5</ci>
<ci>E23</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"/>
<map_variables variable_1="c3" variable_2="c3"/>
<map_variables variable_1="c4" variable_2="c4"/>
<map_variables variable_1="c5" variable_2="c5"/>
</connection>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="interface">
<component_ref component="equations"/>
</component_ref>
</group>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" 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#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<rdf:Description rdf:about="">
<dc:creator rdf:parseType="Resource">
<vCard:N rdf:parseType="Resource">
<vCard:Family>Rajgopal</vCard:Family>
<vCard:Given>Vijayaraghavan</vCard:Given>
</vCard:N>
<vCard:ORG rdf:parseType="Resource">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
</vCard:ORG>
</dc:creator>
<dcterms:created rdf:parseType="Resource">
<dcterms:W3CDTF>2003-12-28</dcterms:W3CDTF>
</dcterms:created>
</rdf:Description>
<rdf:Description rdf:about="">
<bqs:reference rdf:parseType="Resource">
<dc:subject rdf:parseType="Resource">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>constitutive material law</rdf:li>
<rdf:li>mechanical constitutive laws</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
</rdf:Description>
</rdf:RDF>
</model>
