Rendering of the source text

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  tangent_law_1991.xml

CREATED :  1st July 2003

LAST MODIFIED : 1st 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 Taylor series expansion of the Tangent Law, defining the relation between the six independent strain components and the stress components.

CHANGES:
18/02/04 - CML - Completed the Metadata.  
  
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<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>The Taylor Series Expansion of the Tangent 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>


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    <dc:title>Myocardial Material Parameter Estimation - A Comparative Study for Simple Shear (Taylor Series Expansion of the Tangent Law)</dc:title>
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            We'll use this component as the "interface" to the model, all 
            other components are hidden via encapsulation in this component.
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    <rdf:value>This file contains a CellML description of the Taylor series expansion of the Tangent Law, defining the relation between the six independent strain components and the stress components.</rdf:value>
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    <dcterms:modified rdf:resource="rdf:#715df17f-ead9-4d0b-b1ae-5bf26bf11bfd"/>
    <rdf:value>Updated documentation</rdf:value>
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    <dcterms:W3CDTF>2003-12-28</dcterms:W3CDTF>
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    <dc:title>Myocardial Material Parameter Estimation - A Comparative Study for Simple Shear</dc:title>
    <bqs:volume>128(5)</bqs:volume>
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    <vCard:Given>Holger</vCard:Given>
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    <vCard:Given>P</vCard:Given>
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    <dcterms:W3CDTF>2004-02-18</dcterms:W3CDTF>
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    <vCard:Given>A</vCard:Given>
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    <vCard:Orgname>The University of Auckland</vCard:Orgname>
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    <dcterms:W3CDTF>2003-07-01T00:00:00+12:00</dcterms:W3CDTF>
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    <vCard:Given>M</vCard:Given>
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    <vCard:Given>Catherine</vCard:Given>
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    <vCard:Orgname>The University of Auckland</vCard:Orgname>
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    <dcterms:W3CDTF>2007-12-05T13:49:01+13:00</dcterms:W3CDTF>
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    <rdf:value>
            In this simple model we only have one component, which holds the
            six equations.
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          Added metadata to the model.
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    <vCard:Given>H</vCard:Given>
    <vCard:Family>Schmid</vCard:Family>
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    <vCard:FN>Vignesh Kumar</vCard:FN>
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    <dc:title>Journal of Biomechanical Engineering</dc:title>
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    <bqs:subject_type>keyword</bqs:subject_type>
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        <rdf:li>tangent law</rdf:li>
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    <rdf:value>This is a CellML version of the Tangent 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>
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    <vCard:Given>Vignesh</vCard:Given>
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    <dcterms:W3CDTF>2006-10-01 00:00</dcterms:W3CDTF>
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