<?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.
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<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>
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<!-- Variables we expect to be set/controlled externally -->
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<variable units="strain" private_interface="out" name="E22"/>
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<variable units="strain" private_interface="out" name="E13"/>
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<variable units="strain" private_interface="out" name="afs" initial_value="0"/>
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<!-- Variables we want to make available externally -->
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<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"/>
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<!--membrane-->
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<rdf:value>
Added metadata to the model.
</rdf:value>
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<dc:title>Journal of Biomechanical Engineering</dc:title>
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<dc:title>Myocardial Material Parameter Estimation - A Comparative Study for Simple Shear (Separated Fung Law)</dc:title>
<dc:publisher>Auckland Bioengineering Institute</dc:publisher>
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<vCard:Given>H</vCard:Given>
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<rdf:value>Updated documentation</rdf:value>
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<rdf:value>
In this simple model we only have one component, which holds the
six equations.
</rdf:value>
</rdf:Description>
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<vCard:Given>Holger</vCard:Given>
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</rdf:Description>
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<dcterms:W3CDTF>2007-12-05T13:30:52+13:00</dcterms:W3CDTF>
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<dcterms:W3CDTF>2004-02-18</dcterms:W3CDTF>
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<vCard:FN>Vignesh Kumar</vCard:FN>
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<rdf:value>h.schmid@auckland.ac.nz</rdf:value>
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<vCard:Given>M</vCard:Given>
<vCard:Family>Nash</vCard:Family>
<vCard:Other>P</vCard:Other>
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<dc:creator rdf:resource="rdf:#05ecb658-56bf-4a75-9805-29f35b051ec3"/>
<rdf:value>This is a CellML version of the Separated Fung constitutive material law,
defining the relation between the six 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>
</rdf:Description>
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<vCard:Given>Holger</vCard:Given>
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<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>
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<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>
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<vCard:Given>A</vCard:Given>
<vCard:Family>Young</vCard:Family>
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<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>
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</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>
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<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>
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<rdf:Description rdf:about="rdf:#c510163e-cd21-4f66-8108-df4af575cbc8">
<vCard:Given>Vignesh</vCard:Given>
<vCard:Family>Kumar</vCard:Family>
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<vCard:Given>Catherine</vCard:Given>
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<dcterms:W3CDTF>2003-12-28</dcterms:W3CDTF>
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<vCard:FN>Vignesh Kumar</vCard:FN>
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