- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2007-12-03 03:32:26+13:00
- Desc:
- committing version01 of guccione_mcculloch_waldman_1991
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/guccione_mcculloch_waldman_1991/rawfile/48ec2c081fdc89d85af2dda3b2589af398eaed10/guccione_mcculloch_waldman_1991.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : guccione_law_1991.xml
CREATED : 28th December 2003
LAST MODIFIED : 18th February 2004
AUTHOR : Catherine Lloyd
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 Guccione constitutive material 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="guccione_mcculloch_waldman_1991_version01" name="guccione_mcculloch_waldman_1991_version01">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>The Guccione Constitutive Material Law</title>
<author>
<firstname>Vijayaraghavan</firstname>
<surname>Rajagopal</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>
This is an example of how CellML can be used to describe a material law which models the passive, mechanical behaviour of a material. The material law in this case is to calculate the stress induced in a body when a certain amount of deformation (strain) is imposed on it. The calculated stresses are used to solve a system of equations that govern the mechanics of large deformations.
</para>
<para>
The model presented here is the Guccione constitutive material law, which defines the relationship between six independent strain components and the stress components.
</para>
<para>
The Guccione material law was developed by Guccione <emphasis>et al.</emphasis> to model the passive material (mechanical) properties of intact ventricular myocardium. For this particular treatment canine myocardium was considered. They approximated the equatorial region of the canine left ventricle as a thick-walled cylinder made of incompressible (volume is conserved during deformation), hyperelastic (stores energy during deformation) and homogeneous (made of same material) myocardium.
</para>
<para>
Biaxial tests have shown that passive myocardium exhibits anisotropy due to the fibre orientation and structure of myocardial tissue, in their paper Guccione <emphasis>et al.</emphasis> proposed a model that provided an approach to quantifying the material properties of intact myocardium that complemented the results obtained from the biaxial testing. Here, Guccione <emphasis>et al.</emphasis> assumed transverse isotropy (behaviour is independent of all directions of loading perpendicular to one direction).
</para>
<para>
The model stipulates that the only applied force in the isolated heart is the pressure in the left ventricular cavity; therefore to determine the material properties of the intact myocardium the parameters utilized in the material law need to be optimized. In doing so, the model is constrained (in order to both satisfy the known boundary conditions and to undergo the experimentally measured deformations).
</para>
<para>
The model was implemented in a manner that could be used for peforming 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>
Passive Material Properties of Intact Ventricular Myocardium Determined From a Cylindrical Model, J. M. Guccione, A. D. McCulloch, and L. K. Waldman, 1991. <ulink url="http://scitation.aip.org/ASMEJournals/Biomechanical/?jsessionid=1586371077146625325">
<emphasis>Journal of Biomechanical Engineering</emphasis>
</ulink>, 113, 42-55. <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?cmd=Retrieve&db=PubMed&list_uids=2020175&dopt=Abstract">PubMed ID: 2020175</ulink> </para>
</sect1>
</article>
</documentation>
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<rdf:li rdf:resource="rdf:#ac52cd3b-7b6a-4345-9561-03e12bd5ae9a"/>
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</rdf:Seq>
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<dc:creator rdf:resource="rdf:#858c3a50-1133-4c4b-9ed5-4ca6e8dc23d6"/>
<rdf:value>The model presented here is the Guccione constitutive material law, which defines the relationship between six independent strain components and the stress components.The model was implemented in a manner that could be used for peforming finite element model simulations on the CMISS software program developed at the Bioengineering Institute, University of Auckland.</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="">
<dc:publisher>Auckland Bioengineering Institute</dc:publisher>
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</rdf:Description>
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<bqs:Pubmed_id>2020175</bqs:Pubmed_id>
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<rdf:value>v.rajagopal@auckland.ac.nz</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#3913dde3-2192-4b3e-a5cd-02cfcf40d278">
<vCard:Given>J</vCard:Given>
<vCard:Family>Guccione</vCard:Family>
<vCard:Other>M</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#4bbe8d2a-cbcb-4b00-9ab2-d012df923923">
<vCard:FN>Catherine Lloyd</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#858c3a50-1133-4c4b-9ed5-4ca6e8dc23d6">
<vCard:FN>Vignesh Kumar</vCard:FN>
</rdf:Description>
<rdf:Description rdf:about="rdf:#99408866-c443-405e-b9be-6c578a3a58e8">
<dcterms:W3CDTF>2003-12-28T00:00:00+13:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#078e1e11-3c1a-49b8-90ca-625c5d27cea7">
<dc:subject rdf:resource="rdf:#ddbc58d0-37af-4004-97ea-c0b58f6886b2"/>
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<vCard:Given>Rajagopal</vCard:Given>
<vCard:Family>Vijay</vCard:Family>
<vCard:Other/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1c2d0950-f914-4a81-9b75-d74c5c49b8d6">
<vCard:Given>Vignesh</vCard:Given>
<vCard:Family>Kumar</vCard:Family>
<vCard:Other/>
</rdf:Description>
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<dc:title>Journal of Biomechanical Engineering</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#57f43fd0-c180-4244-97b2-d35357c21387">
<rdf:value>
In this simple model we only have one component, which holds the
six equations.
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#interface">
<cmeta:comment rdf:resource="rdf:#72c33d62-2e13-4cdb-87ad-eb6cabfcbd64"/>
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<vCard:Given>Vijayaraghavan</vCard:Given>
<vCard:Family>Rajagopal</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#5003a6f1-4134-459a-be4a-20e89d98818d">
<dc:creator rdf:resource="rdf:#4bbe8d2a-cbcb-4b00-9ab2-d012df923923"/>
<rdf:value>This is a CellML version of the Guccione 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:#dc4007ea-c2af-4fe3-945c-d31debc71b04">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#3913dde3-2192-4b3e-a5cd-02cfcf40d278"/>
</rdf:Description>
<rdf:Description rdf:about="">
<dcterms:created rdf:resource="rdf:#31b147c3-a3e7-46c5-a883-1cf71b04db04"/>
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<vCard:ORG rdf:resource="rdf:#cb504e6e-cbe0-4ea4-a0a6-ebafb0093f98"/>
<vCard:EMAIL rdf:resource="rdf:#5dd88a2d-cd08-4447-950d-c130fa7460b4"/>
<vCard:N rdf:resource="rdf:#6a96613e-cf7f-48fa-b9e2-e5f2bf3f419e"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f674b3cd-c5c1-4523-92a7-9c9a3ee08e5d">
<dcterms:W3CDTF>2004-02-18</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#bc05fbee-00c5-407e-9100-4a96bdc9971c">
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<vCard:Given>L</vCard:Given>
<vCard:Family>Waldman</vCard:Family>
<vCard:Other>K</vCard:Other>
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<rdf:Description rdf:about="rdf:#72c33d62-2e13-4cdb-87ad-eb6cabfcbd64">
<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:#ddbc58d0-37af-4004-97ea-c0b58f6886b2">
<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>constitutive material law</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="#guccione_mcculloch_waldman_1991_version01">
<dc:title>
Guccione constitutive material law
</dc:title>
<cmeta:comment rdf:resource="rdf:#5003a6f1-4134-459a-be4a-20e89d98818d"/>
<bqs:reference rdf:resource="rdf:#078e1e11-3c1a-49b8-90ca-625c5d27cea7"/>
<bqs:reference rdf:resource="rdf:#b2458f4c-f388-43c5-9020-2aa2677a0db4"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#2587726e-1015-412a-9496-865786421e74">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>Auckland Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#1da9e090-fc7c-4913-9e74-f1f0ac478b76">
<dcterms:W3CDTF>1991</dcterms:W3CDTF>
</rdf:Description>
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<dcterms:modified rdf:resource="rdf:#f528d026-4f2a-4e6d-88a3-95006a80d87c"/>
<rdf:value>Updated documentation.</rdf:value>
<cmeta:modifier rdf:resource="rdf:#de8686fd-61aa-4524-bf1a-c2ce1992fbbe"/>
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