Location: Schmid, Nash, Young, Hunter, 2006 @ dcf21e2ed6fb / schmid_nash_young_hunter_2006_b.cellml

Author:
Dougal Cowan <devnull@localhost>
Date:
2011-02-15 14:09:26+13:00
Desc:
Removed dead links.
Permanent Source URI:
https://models.physiomeproject.org/workspace/schmid_nash_young_hunter_2006/rawfile/dcf21e2ed6fb40e582c89256fdf72d226415d2ba/schmid_nash_young_hunter_2006_b.cellml

<?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.  
  
--><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="Tangent" name="schmid_2006">
    
  
<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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  <units name="stress">
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    <variable units="strain" private_interface="out" name="E12"/>
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    <variable units="strain" private_interface="out" name="E23"/>
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    <variable units="strain" private_interface="out" name="bns" initial_value="0"/>
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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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    <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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    <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>
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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>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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            In this simple model we only have one component, which holds the
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          Added metadata to the model.
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    <vCard:Given>H</vCard:Given>
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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: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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    <dcterms:W3CDTF>2006-10-01 00:00</dcterms:W3CDTF>
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