Rendering of the source text

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  separate_fung_law_1991.xml

CREATED :  30th July 2003

LAST MODIFIED : 30th July 2003

AUTHOR : Holger Schmid
          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 the Separated Fung Law, that defines the higly nonlinear and anisotropic properties of (passive) cardiac muscle.

CHANGES:
18/02/04 - CML - Completed the Metadata.  
  
--><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="PoleZero" name="schmid_2006">
    
  
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>The Separated Fung Law</title>
  <author> 
    <firstname>Holger</firstname>
          <surname>Schmid</surname>

    <affiliation>
      <shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <section id="sec_status">
    <title>Model Status</title>
    <para>
    This CellML model was implemented in a manner that could be used for performing finite element model simulations on the CMISS software program developed at the Auckland Bioengineering Institute, The University of Auckland.                       
    </para>
  </section>
  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
ABSTRACT: The study of ventricular mechanics-analyzing the distribution of strain and stress in myocardium throughout the cardiac cycle-is crucially dependent on the accuracy of the constitutive law chosen to represent the highly nonlinear and anisotropic properties of passive cardiac muscle. A number of such laws have been proposed and fitted to experimental measurements of stress-strain behavior. Here we examine five of these laws and compare them on the basis of (i) "goodness of fit:" How well they fit a set of six shear deformation tests, (ii) "determinability:" How well determined the objective function is at the optimal parameter fit, and (iii) "variability:" How well determined the material parameters are over the range of experiments. These criteria are utilized to discuss the advantages and disadvantages of the constitutive laws.
</para>

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

<para>
Myocardial Material Parameter Estimation - A Comparative Study for Simple Shear, H. Schmid, M. P. Nash, A. A. Young and P. J. Hunter, 2006. <emphasis>Journal of Biomechanical Engineering</emphasis>, 128(5), 742-750.  <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/16995761">PubMed ID: 16995761</ulink>  </para>

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


  <!-- 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 units="strain" private_interface="out" name="E11"/>
    <variable units="strain" private_interface="out" name="E22"/>
    <variable units="strain" private_interface="out" name="E33"/>
    <variable units="strain" private_interface="out" name="E12"/>
    <variable units="strain" private_interface="out" name="E13"/>
    <variable units="strain" private_interface="out" name="E23"/>
    <variable units="strain" private_interface="out" name="aff" initial_value="0"/>
    <variable units="strain" private_interface="out" name="afn" initial_value="0"/>
    <variable units="strain" private_interface="out" name="afs" initial_value="0"/>
    <variable units="strain" private_interface="out" name="ann" initial_value="0"/>
    <variable units="strain" private_interface="out" name="ans" initial_value="0"/>
    <variable units="strain" private_interface="out" name="ass" initial_value="0"/>
    <variable units="strain" private_interface="out" name="bff" initial_value="0"/>
    <variable units="strain" private_interface="out" name="bfn" initial_value="0"/>
    <variable units="strain" private_interface="out" name="bfs" initial_value="0"/>
    <variable units="strain" private_interface="out" name="bnn" initial_value="0"/>
    <variable units="strain" private_interface="out" name="bns" initial_value="0"/>
    <variable units="strain" private_interface="out" name="bss" initial_value="0"/>
        
    <!-- Variables we want to make available externally -->
    <variable units="stress" public_interface="out" private_interface="in" name="Tdev11"/>
    <variable units="stress" public_interface="out" private_interface="in" name="Tdev22"/>
    <variable units="stress" public_interface="out" private_interface="in" name="Tdev33"/>
    <variable units="stress" public_interface="out" private_interface="in" name="Tdev12"/>
    <variable units="stress" public_interface="out" private_interface="in" name="Tdev13"/>
    <variable units="stress" public_interface="out" private_interface="in" name="Tdev23"/>

  </component> <!--interface-->

  <component name="equations" cmeta:id="equations">

    

    <!-- Inputs -->
    <variable units="strain" public_interface="in" name="E11"/>
    <variable units="strain" public_interface="in" name="E22"/>
    <variable units="strain" public_interface="in" name="E33"/>
    <variable units="strain" public_interface="in" name="E12"/>
    <variable units="strain" public_interface="in" name="E13"/>
    <variable units="strain" public_interface="in" name="E23"/>
    <variable units="strain" public_interface="in" name="aff"/>
    <variable units="strain" public_interface="in" name="afn"/>
    <variable units="strain" public_interface="in" name="afs"/>
    <variable units="strain" public_interface="in" name="ann"/>
    <variable units="strain" public_interface="in" name="ans"/>
    <variable units="strain" public_interface="in" name="ass"/>
    <variable units="strain" public_interface="in" name="bff"/>
    <variable units="strain" public_interface="in" name="bfn"/>
    <variable units="strain" public_interface="in" name="bfs"/>
    <variable units="strain" public_interface="in" name="bnn"/>
    <variable units="strain" public_interface="in" name="bns"/>
    <variable units="strain" public_interface="in" name="bss"/>
    
    <!-- Outputs computed here -->
    <variable units="stress" public_interface="out" name="Tdev11"/>
    <variable units="stress" public_interface="out" name="Tdev22"/>
    <variable units="stress" public_interface="out" name="Tdev33"/>
    <variable units="stress" public_interface="out" name="Tdev12"/>
    <variable units="stress" public_interface="out" name="Tdev13"/>
    <variable units="stress" public_interface="out" name="Tdev23"/>

    <!-- Calculation of Stress -->
    <math xmlns="http://www.w3.org/1998/Math/MathML" cmeta:id="Tdev11_calculation_eq">
      <apply id="Tdev11_calculation">
        <eq/>
        <ci>Tdev11</ci>
        <apply>
          <times/>
          <apply>
            <exp/>
            <apply>
              <times/>
              <ci>bff</ci>
              <apply>
                <power/>
                <ci>E11</ci>
                <cn cellml:units="strain">2</cn>
              </apply>
            </apply>
          </apply>
          <ci>aff</ci>
          <ci>bff</ci>
          <ci>E11</ci>
        </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/>
          <apply>
            <exp/>
            <apply>
              <times/>
              <ci>bss</ci>
              <apply>
                <power/>
                <ci>E22</ci>
                <cn cellml:units="strain">2</cn>
              </apply>
            </apply>
          </apply>
          <ci>ass</ci>
          <ci>bss</ci>
          <ci>E22</ci>
        </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/>
          <apply>
            <exp/>
            <apply>
              <times/>
              <ci>bnn</ci>
              <apply>
                <power/>
                <ci>E33</ci>
                <cn cellml:units="strain">2</cn>
              </apply>
            </apply>
          </apply>
          <ci>ann</ci>
          <ci>bnn</ci>
          <ci>E33</ci>
        </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/>
          <apply>
            <exp/>
            <apply>
              <times/>
              <ci>bfs</ci>
              <apply>
                <power/>
                <ci>E12</ci>
                <cn cellml:units="strain">2</cn>
              </apply>
            </apply>
          </apply>
          <ci>afs</ci>
          <ci>bfs</ci>
          <ci>E12</ci>
        </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/>
          <apply>
            <exp/>
            <apply>
              <times/>
              <ci>bfn</ci>
              <apply>
                <power/>
                <ci>E13</ci>
                <cn cellml:units="strain">2</cn>
              </apply>
            </apply>
          </apply>
          <ci>afn</ci>
          <ci>bfn</ci>
          <ci>E13</ci>
        </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/>
          <apply>
            <exp/>
            <apply>
              <times/>
              <ci>bns</ci>
              <apply>
                <power/>
                <ci>E23</ci>
                <cn cellml:units="strain">2</cn>
              </apply>
            </apply>
          </apply>
          <ci>ans</ci>
          <ci>bns</ci>
          <ci>E23</ci>
        </apply>
      </apply>
    </math>

  </component>
  <!--membrane-->

  <connection>
    <map_components component_2="equations" component_1="interface"/>
    <map_variables variable_2="E11" variable_1="E11"/>
    <map_variables variable_2="E22" variable_1="E22"/>
    <map_variables variable_2="E33" variable_1="E33"/>
    <map_variables variable_2="E12" variable_1="E12"/>
    <map_variables variable_2="E13" variable_1="E13"/>
    <map_variables variable_2="E23" variable_1="E23"/>
    <map_variables variable_2="Tdev11" variable_1="Tdev11"/>
    <map_variables variable_2="Tdev22" variable_1="Tdev22"/>
    <map_variables variable_2="Tdev33" variable_1="Tdev33"/>
    <map_variables variable_2="Tdev12" variable_1="Tdev12"/>
    <map_variables variable_2="Tdev13" variable_1="Tdev13"/>
    <map_variables variable_2="Tdev23" variable_1="Tdev23"/>
    <map_variables variable_2="aff" variable_1="aff"/>
    <map_variables variable_2="afn" variable_1="afn"/>
    <map_variables variable_2="afs" variable_1="afs"/>
    <map_variables variable_2="ann" variable_1="ann"/>
    <map_variables variable_2="ans" variable_1="ans"/>
    <map_variables variable_2="ass" variable_1="ass"/>
    <map_variables variable_2="bff" variable_1="bff"/>
    <map_variables variable_2="bfn" variable_1="bfn"/>
    <map_variables variable_2="bfs" variable_1="bfs"/>
    <map_variables variable_2="bnn" variable_1="bnn"/>
    <map_variables variable_2="bns" variable_1="bns"/>
    <map_variables variable_2="bss" variable_1="bss"/>
  </connection>
  
  <group>
    <relationship_ref relationship="encapsulation"/>
    <component_ref component="interface">
      <component_ref component="equations"/>
    </component_ref>
  </group>







<rdf:RDF>
  <rdf:Seq rdf:about="rdf:#3f37ac8c-03ef-4d60-a22b-3cb65d5cdc17">
    <rdf:li rdf:resource="rdf:#40054ebe-e2f4-4cac-b67d-6f592f5d6fa2"/>
    <rdf:li rdf:resource="rdf:#7f5e6c8f-fe65-4eba-88dc-af645b26057f"/>
    <rdf:li rdf:resource="rdf:#bf2e93f9-ef3a-48a7-b134-770facbaf758"/>
    <rdf:li rdf:resource="rdf:#83da0e3b-51ad-405c-907c-a06c50e2509b"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#ec9aee55-eca4-4279-a734-1859728ccabb">
    <vCard:Given>P</vCard:Given>
    <vCard:Family>Hunter</vCard:Family>
    <vCard:Other>J</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="#interface">
    <cmeta:comment rdf:resource="rdf:#26dac644-8f2f-4a23-8713-f8f1cb5abc80"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#83da0e3b-51ad-405c-907c-a06c50e2509b">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#ec9aee55-eca4-4279-a734-1859728ccabb"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#bf2e93f9-ef3a-48a7-b134-770facbaf758">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#5a3a237b-127c-4ced-9e2f-f9ffef5d992c"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3de92f34-147a-400b-a968-3705066b70c4">
    <dcterms:modified rdf:resource="rdf:#37867ba5-f4c0-42c6-9a62-339252959d3b"/>
    <rdf:value>
          Added metadata to the model.
        </rdf:value>
    <rdf:type rdf:resource="http://www.cellml.org/metadata/1.0#modification"/>
    <cmeta:modifier rdf:resource="rdf:#262b5a3b-a733-4376-8dbd-a90b3ce59fee"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#510a6506-ca1c-4925-aaa1-81d18e2a7cd4">
    <dc:creator rdf:resource="rdf:#3f37ac8c-03ef-4d60-a22b-3cb65d5cdc17"/>
    <dc:title>Myocardial Material Parameter Estimation - A Comparative Study for Simple Shear</dc:title>
    <bqs:volume>128(5)</bqs:volume>
    <bqs:first_page>742</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#ae49e1cc-0d71-4cd0-aa6d-e6c890ef50f8"/>
    <dcterms:issued rdf:resource="rdf:#4a4ca8c1-0f4f-4c45-a89b-3a4afb0d63d9"/>
    <bqs:last_page>750</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ae49e1cc-0d71-4cd0-aa6d-e6c890ef50f8">
    <dc:title>Journal of Biomechanical Engineering</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:title>Myocardial Material Parameter Estimation - A Comparative Study for Simple Shear (Separated Fung Law)</dc:title>
    <dc:publisher>Auckland Bioengineering Institute</dc:publisher>
    <cmeta:comment rdf:resource="rdf:#bdd2e892-5716-43e4-a11c-c96129ed9bf6"/>
    <dcterms:created rdf:resource="rdf:#e9fbdd20-8441-4199-810f-dd81e0c2303e"/>
    <dc:creator rdf:resource="rdf:#3f91f91b-75a1-45f0-a9bf-0804cf5d7147"/>
    <cmeta:modification rdf:resource="rdf:#1c3bb738-39aa-42fd-8d2a-b71584437d87"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#797a1b82-9c77-4ed1-9f31-8ffde0cf6699">
    <vCard:Given>H</vCard:Given>
    <vCard:Family>Schmid</vCard:Family>
    <vCard:Other/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#1c3bb738-39aa-42fd-8d2a-b71584437d87">
    <dcterms:modified rdf:resource="rdf:#44e09345-14c9-4320-ab0b-104719afcc4b"/>
    <rdf:value>Updated documentation</rdf:value>
    <cmeta:modifier rdf:resource="rdf:#ac99b1ec-a477-454e-b223-2b87863b02a3"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c3dcf1ed-2510-46b0-8235-739e5f1b6adb">
    <rdf:value>
            In this simple model we only have one component, which holds the
            six equations.
          </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3f91f91b-75a1-45f0-a9bf-0804cf5d7147">
    <vCard:ORG rdf:resource="rdf:#9e6eba79-a548-4dff-9222-26c759ed1671"/>
    <vCard:EMAIL rdf:resource="rdf:#1f313f63-3019-449d-966d-30360a91fc62"/>
    <vCard:N rdf:resource="rdf:#3bc8decf-98ef-4554-a0ab-1b4361f22dbd"/>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dcterms:created rdf:resource="rdf:#f5ad38d9-14db-4fce-8157-646d6cbb3c99"/>
    <dc:creator rdf:resource="rdf:#ab239855-6ee0-49d3-ab46-4643de4ca4c7"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d1e06a91-6a23-48a7-8b5c-22b377379c20">
    <vCard:Given>Holger</vCard:Given>
    <vCard:Family>Schmid</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#44e09345-14c9-4320-ab0b-104719afcc4b">
    <dcterms:W3CDTF>2007-12-05T13:30:52+13:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#40054ebe-e2f4-4cac-b67d-6f592f5d6fa2">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#797a1b82-9c77-4ed1-9f31-8ffde0cf6699"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#37867ba5-f4c0-42c6-9a62-339252959d3b">
    <dcterms:W3CDTF>2004-02-18</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0951ec81-45a7-4584-9595-f02fe173dd02">
    <vCard:FN>Vignesh Kumar</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ab239855-6ee0-49d3-ab46-4643de4ca4c7">
    <vCard:ORG rdf:resource="rdf:#045b80f2-7f7e-4e95-acd5-1ab108e27362"/>
    <vCard:EMAIL rdf:resource="rdf:#2e8191c7-58aa-4cf9-ab32-ac3d9b39328c"/>
    <vCard:N rdf:resource="rdf:#d1e06a91-6a23-48a7-8b5c-22b377379c20"/>
  </rdf:Description>
  <rdf:Description rdf:about="#PoleZero">
    <bqs:reference rdf:resource="rdf:#da7ebd01-cd1f-4c68-8e15-bd74f9ca77c8"/>
    <bqs:reference rdf:resource="rdf:#ecf1c9df-2017-4046-8186-b689a59a01b0"/>
    <cmeta:comment rdf:resource="rdf:#fe79a51f-b378-4f7c-ac28-a001684d9fde"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ac99b1ec-a477-454e-b223-2b87863b02a3">
    <vCard:N rdf:resource="rdf:#c510163e-cd21-4f66-8108-df4af575cbc8"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#1f313f63-3019-449d-966d-30360a91fc62">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>h.schmid@auckland.ac.nz</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#equations">
    <cmeta:comment rdf:resource="rdf:#c3dcf1ed-2510-46b0-8235-739e5f1b6adb"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2e36dba7-a43c-4b20-a6fc-dcb73c0838a8">
    <vCard:Given>M</vCard:Given>
    <vCard:Family>Nash</vCard:Family>
    <vCard:Other>P</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fe79a51f-b378-4f7c-ac28-a001684d9fde">
    <dc:creator rdf:resource="rdf:#05ecb658-56bf-4a75-9805-29f35b051ec3"/>
    <rdf:value>This is a CellML version of the Separated Fung constitutive material law,&#13;
defining the relation between the six independent strain components&#13;
and the stress components. It is assumed that the strain components&#13;
will be controlled externally by the application using this CellML&#13;
model.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3bc8decf-98ef-4554-a0ab-1b4361f22dbd">
    <vCard:Given>Holger</vCard:Given>
    <vCard:Family>Schmid</vCard:Family>
    <vCard:Other/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#26dac644-8f2f-4a23-8713-f8f1cb5abc80">
    <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>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#9e6eba79-a548-4dff-9222-26c759ed1671">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ecf1c9df-2017-4046-8186-b689a59a01b0">
    <dc:subject rdf:resource="rdf:#d35dcd44-d66b-411e-ac1e-e93ad32f6e66"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#5a3a237b-127c-4ced-9e2f-f9ffef5d992c">
    <vCard:Given>A</vCard:Given>
    <vCard:Family>Young</vCard:Family>
    <vCard:Other>A</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2e8191c7-58aa-4cf9-ab32-ac3d9b39328c">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>h.schmid@auckland.ac.nz</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d35dcd44-d66b-411e-ac1e-e93ad32f6e66">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value>
      <rdf:Bag>
        <rdf:li>separated fung law</rdf:li>
        <rdf:li>mechanical constitutive laws</rdf:li>
        <rdf:li>simple shear</rdf:li>
        <rdf:li>constitutive material law</rdf:li>
      </rdf:Bag>
    </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e9fbdd20-8441-4199-810f-dd81e0c2303e">
    <dcterms:W3CDTF>2003-07-30T00:00:00+12:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#bdd2e892-5716-43e4-a11c-c96129ed9bf6">
    <dc:creator rdf:resource="rdf:#0951ec81-45a7-4584-9595-f02fe173dd02"/>
    <rdf:value>This file contains a CellML description of the Separated Fung Law, that defines the higly nonlinear and anisotropic properties of (passive) cardiac muscle</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#045b80f2-7f7e-4e95-acd5-1ab108e27362">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c510163e-cd21-4f66-8108-df4af575cbc8">
    <vCard:Given>Vignesh</vCard:Given>
    <vCard:Family>Kumar</vCard:Family>
    <vCard:Other/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#2044c44e-c0b2-451b-91bb-579197ae18d0">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>M</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#7f5e6c8f-fe65-4eba-88dc-af645b26057f">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#2e36dba7-a43c-4b20-a6fc-dcb73c0838a8"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#f5ad38d9-14db-4fce-8157-646d6cbb3c99">
    <dcterms:W3CDTF>2003-12-28</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#4a4ca8c1-0f4f-4c45-a89b-3a4afb0d63d9">
    <dcterms:W3CDTF>2006-10-01 00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#da7ebd01-cd1f-4c68-8e15-bd74f9ca77c8">
    <bqs:Pubmed_id>16995761</bqs:Pubmed_id>
    <bqs:JournalArticle rdf:resource="rdf:#510a6506-ca1c-4925-aaa1-81d18e2a7cd4"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#262b5a3b-a733-4376-8dbd-a90b3ce59fee">
    <vCard:N rdf:resource="rdf:#2044c44e-c0b2-451b-91bb-579197ae18d0"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#05ecb658-56bf-4a75-9805-29f35b051ec3">
    <vCard:FN>Vignesh Kumar</vCard:FN>
  </rdf:Description>
</rdf:RDF>
</model>