- Author:
- Geoff Nunns <gnunns1@jhu.edu>
- Date:
- 2010-04-27 16:41:11+12:00
- Desc:
- Added titles to different variants in RDF.
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/schmid_nash_young_hunter_2006/rawfile/1c4a5d583ac4a518d0bebbedc172a52cc9442d11/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="guccione_mcculloch_waldman_1991_version05">
<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>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This is the original unchecked version of the model imported from the previous
CellML model repository, 24-Jan-2006.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
Knowledge of the mechanical behaviour of myocardium is pivotal to understanding the mechanisms of defect in regions of the heart. These defects
are attributed to causes such as ischaemia, hypertrophy, or remodelling of the collagen microstructure. The study of ventricular mechanics
(the analysis of the distribution of strain and stress in myocardium throughout the cardiac cycle) is fundamentally dependant on the accuracy of
the specific constitutive laws chosen to represent the three dimensional properties of passive cardiac muscle. In this article, the authors Schmid,
Nash, Young and Hunter examine five constitutive material laws and compare them on the following criteria: "goodness of fit", "determinability"
and "variability". The aforementioned criteria are utilized to discuss the advantages and disadvantages of the constitutive laws.
The constitutive laws considered by the authors are the Costa law, Separated Fung-type law, Pole-Zero law, Tangent Law and the Langevin
eight-chain law.
</para>
<para>
Cardiac mechanics have been modelled over the last 30 years with different material law concepts, (elastic to viscoelastic, phenomenological to microstructurally based).
The article provided here aims to provide a brief summary of the attempts to model the passive elastic behaviour of myocardium.
One aspect of the material constitutive properties not taken into account in this analysis is the viscoelasticity of myocardial tissue;
the primary reason being that at the time of publication the authors felt that there was insufficient data on the passive viscoelastic properties of ventricular myocardium,
particularly in regards to the physiological strain rates occurring in vivo (for shear modes of deformation). The authors have instead decided to limit their analysis to the
hyperelastic properties only, with emphasis on the shear properties.
</para>
<para>
The CellML file associated with this article focuses on the Taylor series expansion of the "Tangent Law" developed by Schmid et. al..
This model was implemented in a manner that could be used for performing finite element model simulations on the CMISS software program developed at the Bioengineering Institute, University of Auckland.
</para>
<para>
For additional information on implementation of cellML files in CMISS, please refer to the following <ulink url="http://www.bioeng.auckland.ac.nz/people/nickerso/cmiss/help.html">Link</ulink>.
</para>
<para>
The complete 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. <ulink url="http://scitation.aip.org/getabs/servlet/GetabsServlet?prog=normal&id=JBENDY000128000005000742000001&idtype=cvips&gifs=yes">
<emphasis>Journal of Biomechanical Engineering</emphasis>
</ulink>, 128(5), 742-750. <ulink url="http://www.ncbi.nlm.nih.gov/sites/entrez?Db=pubmed&Cmd=ShowDetailView&TermToSearch=16995761&ordinalpos=24&itool=EntrezSystem2.PEntrez.Pubmed.Pubmed_ResultsPanel.Pubmed_RVDocSum">PubMed ID: 16995761</ulink> </para>
</sect1>
</article>
</documentation>
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</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="bss" 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"/>
<variable units="stress" public_interface="out" private_interface="in" name="Tdev13"/>
<variable units="stress" public_interface="out" private_interface="in" name="Tdev23"/>
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<component_ref component="interface">
<component_ref component="equations"/>
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</group>
<rdf:RDF>
<rdf:Seq rdf:about="rdf:#9920f12b-4aa1-401d-81a0-929a42b42243">
<rdf:li rdf:resource="rdf:#4f5a9ee4-7c52-481b-b0ef-21010e839fc2"/>
<rdf:li rdf:resource="rdf:#69059ab1-1387-4a04-9419-52d1ff37c978"/>
<rdf:li rdf:resource="rdf:#81eaa51d-1059-4691-bb88-977f878fd923"/>
<rdf:li rdf:resource="rdf:#90651551-6cb9-4f69-b0d6-33e01618acfe"/>
</rdf:Seq>
<rdf:Description rdf:about="rdf:#e010ab9b-1428-46f1-a264-2f572dac4921">
<vCard:FN>Vignesh Kumar</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:title>Myocardial Material Parameter Estimation - A Comparative Study for Simple Shear (Taylor Series Expansion of the Tangent Law)</dc:title>
<dc:publisher>Auckland Bioengineering Institute</dc:publisher>
<cmeta:comment rdf:resource="rdf:#0135fcc9-d708-4e22-aa3a-486f468bb985"/>
<dcterms:created rdf:resource="rdf:#585ba385-3b15-4c60-b143-0319e1d71c30"/>
<dc:creator rdf:resource="rdf:#0f4ab691-7ed8-469e-bf6b-33848837d039"/>
<cmeta:modification rdf:resource="rdf:#fe4404d5-d1dd-46dd-912d-ebf7fb98ad60"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#faa9e00f-8285-42e1-a58e-6ae319f92afa">
<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:#3f2c22f0-64d5-4270-a4c4-4818e5db6396">
<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="#interface">
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<bqs:Pubmed_id>16995761</bqs:Pubmed_id>
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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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<rdf:Description rdf:about="rdf:#be7b5494-0b8d-46c1-ae5c-e078f99ed234">
<dcterms:W3CDTF>2003-12-28</dcterms:W3CDTF>
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<dc:creator rdf:resource="rdf:#9920f12b-4aa1-401d-81a0-929a42b42243"/>
<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:#cfd782bc-d053-4d74-95dd-a93ac8036b75"/>
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<bqs:last_page>750</bqs:last_page>
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<vCard:Given>Holger</vCard:Given>
<vCard:Family>Schmid</vCard:Family>
<vCard:Other/>
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<vCard:Given>P</vCard:Given>
<vCard:Family>Hunter</vCard:Family>
<vCard:Other>J</vCard:Other>
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<rdf:Description rdf:about="rdf:#e4829a26-7ce9-4e60-95d5-e73482a4b348">
<dcterms:W3CDTF>2004-02-18</dcterms:W3CDTF>
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<rdf:value>h.schmid@auckland.ac.nz</rdf:value>
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<rdf:Description rdf:about="rdf:#7dcc2646-fc15-4c0d-bf3e-b4bf39c3561d">
<vCard:Given>A</vCard:Given>
<vCard:Family>Young</vCard:Family>
<vCard:Other>A</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1ad97bec-06ac-4334-931e-6c924d186116">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
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<rdf:Description rdf:about="rdf:#585ba385-3b15-4c60-b143-0319e1d71c30">
<dcterms:W3CDTF>2003-07-01T00:00:00+12:00</dcterms:W3CDTF>
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<rdf:Description rdf:about="rdf:#1a1dbcfc-9391-4323-b1a2-218fa4b30786">
<vCard:Given>M</vCard:Given>
<vCard:Family>Nash</vCard:Family>
<vCard:Other>P</vCard:Other>
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<rdf:Description rdf:about="rdf:#e102e6e7-2056-4eac-93a1-fa4679056cc5">
<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>M</vCard:Other>
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<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
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<dcterms:W3CDTF>2007-12-05T13:49:01+13:00</dcterms:W3CDTF>
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<rdf:Description rdf:about="rdf:#fa6a7584-bdfd-407a-9128-13eb1af85592">
<rdf:value>
In this simple model we only have one component, which holds the
six equations.
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<dcterms:modified rdf:resource="rdf:#e4829a26-7ce9-4e60-95d5-e73482a4b348"/>
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Added metadata to the model.
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<vCard:Given>H</vCard:Given>
<vCard:Family>Schmid</vCard:Family>
<vCard:Other/>
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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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<rdf:Description rdf:about="rdf:#83ca2e33-0e1b-4a9b-aea3-c7c680320700">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>tangent law</rdf:li>
<rdf:li>mechanical constitutive laws</rdf:li>
<rdf:li>cardiac mechanics</rdf:li>
<rdf:li>constitutive material law</rdf:li>
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<rdf:Description rdf:about="rdf:#65a12a5c-b94a-4f30-9498-edd6e041ecdf">
<vCard:Given>Holger</vCard:Given>
<vCard:Family>Schmid</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="#equations">
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<dc:creator rdf:resource="rdf:#fdc97d7e-d815-4e1e-96ce-0da4bf02bfdd"/>
<rdf:value>This is a CellML version of the Tangent 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>
<rdf:Description rdf:about="rdf:#4f5a9ee4-7c52-481b-b0ef-21010e839fc2">
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<rdf:Description rdf:about="rdf:#73e77a38-e951-4227-a3ca-be372da37bb0">
<vCard:Given>Vignesh</vCard:Given>
<vCard:Family>Kumar</vCard:Family>
<vCard:Other/>
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<rdf:Description rdf:about="rdf:#9f536949-e785-450c-89aa-3812e744c5ff">
<dcterms:W3CDTF>2006-10-01 00:00</dcterms:W3CDTF>
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</model>
