- Author:
- pmr2.import <nobody@models.cellml.org>
- Date:
- 2009-06-17 14:22:44+12:00
- Desc:
- committing version01 of gasser_ogden_holzapfel_2006
- Permanent Source URI:
- https://models.cellml.org/workspace/gasser_ogden_holzapfel_2006/rawfile/e6566048e6e96a18ec37d234b56ff303ef75284a/gasser_ogden_holzapfel_2006_a.cellml
<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : FiberDispersion_law_2468.xml
CREATED : 30th July 2005
LAST MODIFIED : 1st January 2007
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.
The model represented here focuses on the combination 2,4,6,8 of the fibre dispersion law.
With '2' representing the isotropic component of the functional form and
'4', '6' and '8' representing the anisotropic components of the functional form.
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="FiberDispersion" name="ogden_gasser_holzapfel_2005_version03">
<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>Fibre Dispersion Law</title>
<author>
<firstname>Holger</firstname>
<surname>Schmid</surname>
<affiliation>
<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
For every solid with a microstructure there is a correlation between its internal
structure and its macroscopic mechanical properties. Continuum based constitutive
relations describe the overall behaviour that results from this internal structure;
and the development of these constitutive relations particularly in the case of soft
biological tissues has been an area of active research for several decades.
</para>
<para>
Soft biological tissue consists primarily of various types of cells, an extracellular matrix,
and abundant water. They contain cell types that sense and convert mechanical stimuli into bioelectrical
and biochemical signals, which control the homeostatic processes within the tissues and monitors the tissue's
homeostatic tendencies in regards to changes in its mechanical environment. It is therefore important to develop realistic
constitutive models for these soft biological tissues, in order to quantify changes in their structure
and function in response to altered mechanical stimulus.
</para>
<para>
Over the past few decades, research and modeling of the heart and its associated blood vessels have been
a topic of major importance; the paper presented here focuses on hyperelastic modelling of arterial layers
with distributed collagen fibre orientation. Collagen fibres are a key component in the structure of arteries,
and the structural continuum constitutive models of arterial layers allow the integration of information about
the tissue morphology and therefore allow investigation of the interrelation between structure and function in
response to mechanical loading.
</para>
<para>
Within the <emphasis>media</emphasis> (middle layer) of the artery wall, the collagen fibres are arranged helically and with
very little dispersion in their orientation. In contrast to this, in the <emphasis>adventitia</emphasis> (outermost layer)
and <emphasis>intima</emphasis> (innermost layer), the orientation of the collagen fibres is dispersed. As a result, continuum
models that do not account for this dispersion are not able to capture accurately the stress-strain response of these layers.
</para>
<para>
In the paper presented here, the authors <emphasis>Gasser</emphasis>, <emphasis>Ogden</emphasis> and <emphasis>Holzapfel</emphasis>
focus on the development and introduction of a structural continuum framework that is able to represent the dispersion of the
collagen fibres orientation within arterial walls. Thus allowing the development of a new hyperelastic free-energy function
that is well suited for representing the anisotropic elastic properties of adventitial and intimal layers of arterial walls.
</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.
The model file presented here focuses on the functional form of the fibre dispersion law corresponding to the the combination 2,4,6,8 <emphasis>(FiberDispersion_law_2468)</emphasis>, with 2 representing the isotropic component of the
functional form, and 4, 6 and 8 representing the anisotropic components of the fucntional form.
</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>
This file has not been recently checked for compatibility within CMISS, any feedback regarding this and any other issues would be appreciated.
</para>
<para>
The complete original paper reference is cited below:
</para>
<para>
Hyperelastic modelling of arterial layers with distributed collagen fibre orientations, T.C. Gasser, R.W. Ogden and G.A. Holzapfel, 2006. <ulink url="http://journals.royalsociety.org/content/3253307783333263/">
<emphasis>Journal of the Royal Society, Interface / the Royal Society</emphasis>
</ulink>, 3(6), 15-35. <ulink url="http://www.ncbi.nlm.nih.gov/sites/entrez?cmd=Retrieve&db=PubMed&dopt=AbstractPlus&list_uids=16849214">PubMed ID: 16849214</ulink> </para>
</sect1>
</article>
</documentation>
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<dc:publisher>University of Auckland</dc:publisher>
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<rdf:Description rdf:about="rdf:#2790987a-685a-4d78-b1e1-55860a7f4df4">
<vCard:Given>Yikan</vCard:Given>
<vCard:Family>Wang</vCard:Family>
<vCard:Other>M</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="#equations">
<cmeta:comment rdf:resource="rdf:#372f2282-d4d4-4c1e-8ef7-b7bab086e255"/>
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<rdf:Description rdf:about="rdf:#964ac2eb-90f5-47b3-bad6-51607493beb5">
<dc:subject rdf:resource="rdf:#9630c5b4-5556-4962-8d78-99c32c777a72"/>
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<bqs:subject_type>keyword</bqs:subject_type>
<rdf:value>
<rdf:Bag>
<rdf:li>constitutive material law</rdf:li>
<rdf:li>mechanical constitutive laws</rdf:li>
</rdf:Bag>
</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0dd3c3b2-c2ce-4c90-ba9d-1daa0a756ed1">
<dcterms:W3CDTF>2007-02-01</dcterms:W3CDTF>
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<vCard:Given>T</vCard:Given>
<vCard:Family>Gasser</vCard:Family>
<vCard:Other>C</vCard:Other>
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<rdf:value>h.schmid@auckland.ac.nz</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#f5b358db-26e9-4a4d-a08a-01eb9c7a202c">
<vCard:FN>Vignesh Kumar</vCard:FN>
</rdf:Description>
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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>
</rdf:Description>
<rdf:Description rdf:about="rdf:#23421562-a0f4-4883-b6b7-a8a2e3ffefe2">
<vCard:FN>Vignesh Kumar</vCard:FN>
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<dc:creator rdf:resource="rdf:#f5b358db-26e9-4a4d-a08a-01eb9c7a202c"/>
<rdf:value>This is a CellML version of the Fibre Dispersion 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:#53a8d901-6a41-46d8-9d9a-f7389064acc0">
<vCard:Given>Holger</vCard:Given>
<vCard:Family>Schmid</vCard:Family>
</rdf:Description>
<rdf:Description rdf:about="rdf:#07382a71-66fd-4692-8d69-ab257ca24bc6">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#c2e5692a-5861-4c33-8427-6ca65a10106a"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0aa62278-0265-4231-9113-c5f20670dce4">
<dcterms:W3CDTF>2003-12-28</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ea2607e5-05cd-4db8-a943-2445bfb463a7">
<dc:creator rdf:resource="rdf:#23421562-a0f4-4883-b6b7-a8a2e3ffefe2"/>
<rdf:value>This CellML file focuses on the development and introduction of a structural continuum framework that is able to represent the dispersion of
collagen fibres orientation within arterial walls. Thus allowing the development of a new hyperelastic free-energy function
that is well suited for representing the anisotropic elastic properties of adventitial and intimal layers of arterial walls. This file focuses on the combination 2,4,6,8 of the fibre dispersion law. With '2' representing the isotropic component of the functional form and '4', '6' and '8' representing the anisotropic component of the functional form.</rdf:value>
</rdf:Description>
<rdf:Description rdf:about="rdf:#726e2df2-38c9-4f72-aeee-c9bf61c62c05">
<vCard:Given>R</vCard:Given>
<vCard:Family>Ogden</vCard:Family>
<vCard:Other>W</vCard:Other>
</rdf:Description>
<rdf:Description rdf:about="rdf:#19668794-7948-4d11-a559-c3b8c4c7d88d">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#7e862b0c-16e0-42ff-a430-8f99c269455b"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#372f2282-d4d4-4c1e-8ef7-b7bab086e255">
<rdf:value>
In this simple model we only have one component, which holds the
six equations.
</rdf:value>
</rdf:Description>
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<dcterms:modified rdf:resource="rdf:#0dd3c3b2-c2ce-4c90-ba9d-1daa0a756ed1"/>
<rdf:value>
Added metadata to the model.
</rdf:value>
<rdf:type rdf:resource="http://www.cellml.org/metadata/1.0#modification"/>
<cmeta:modifier rdf:resource="rdf:#ab9f7c80-defd-4d08-9232-620f905cbc6b"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ee79ad3a-ab00-453b-951a-9488a0610204">
<bqs:Pubmed_id>16849214</bqs:Pubmed_id>
<bqs:JournalArticle rdf:resource="rdf:#0051a138-3b8a-4b77-9c7e-364fde8fd2a8"/>
</rdf:Description>
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<vCard:ORG rdf:resource="rdf:#7ac2ec8f-7faf-4e69-82d5-ee28cd92d43f"/>
<vCard:EMAIL rdf:resource="rdf:#61ea5d63-3eef-4e5c-a891-2b17d0ceb8c0"/>
<vCard:N rdf:resource="rdf:#53a8d901-6a41-46d8-9d9a-f7389064acc0"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7aa3af00-4cd2-4550-8810-61b39649d66e">
<rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
<vCard:N rdf:resource="rdf:#4501e271-14d1-46c9-875e-1c51afc93ce1"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ae19039d-e31b-4a02-82d2-394029aca202">
<dcterms:W3CDTF>2005-07-30T00:00:00+12:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0b1d33be-0de0-4058-a7a0-6583be4cd5a2">
<dc:title>Journal of The Royal Society Interface</dc:title>
</rdf:Description>
<rdf:Description rdf:about="rdf:#bbce8543-bf62-4380-bcd3-b7af3b67b92e">
<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="#FiberDispersion">
<bqs:reference rdf:resource="rdf:#964ac2eb-90f5-47b3-bad6-51607493beb5"/>
<bqs:reference rdf:resource="rdf:#ee79ad3a-ab00-453b-951a-9488a0610204"/>
<cmeta:comment rdf:resource="rdf:#564ac71d-ae7d-4be9-b617-f423e3c6cee4"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7e81774f-5fb6-49f1-abc9-ffea399d1aca">
<dcterms:W3CDTF>2006-02-22 00:00</dcterms:W3CDTF>
</rdf:Description>
<rdf:Description rdf:about="#interface">
<cmeta:comment rdf:resource="rdf:#edcd2699-3109-4b84-900f-ae77d63b4bda"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#7ac2ec8f-7faf-4e69-82d5-ee28cd92d43f">
<vCard:Orgname>The University of Auckland</vCard:Orgname>
<vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="rdf:#0051a138-3b8a-4b77-9c7e-364fde8fd2a8">
<dc:creator rdf:resource="rdf:#e4ef94ce-9957-42e5-9c46-0bf030533ca8"/>
<dc:title>Hyperelastic modelling of arterial layers with distributed collagen fibre orientations</dc:title>
<bqs:volume>3(6)</bqs:volume>
<bqs:first_page>15</bqs:first_page>
<bqs:Journal rdf:resource="rdf:#0b1d33be-0de0-4058-a7a0-6583be4cd5a2"/>
<dcterms:issued rdf:resource="rdf:#7e81774f-5fb6-49f1-abc9-ffea399d1aca"/>
<bqs:last_page>35</bqs:last_page>
</rdf:Description>
<rdf:Description rdf:about="rdf:#ab9f7c80-defd-4d08-9232-620f905cbc6b">
<vCard:N rdf:resource="rdf:#2790987a-685a-4d78-b1e1-55860a7f4df4"/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#546d8c82-a87f-43a8-8e9d-5728e758d4ce">
<vCard:Given>Holger</vCard:Given>
<vCard:Family>Schmid</vCard:Family>
<vCard:Other/>
</rdf:Description>
<rdf:Description rdf:about="rdf:#9cb6e1e4-03ed-47b1-bde8-e268f5c904e9">
<vCard:Orgname>Auckland Bioengineering Institute</vCard:Orgname>
<vCard:Orgunit>University of Auckland</vCard:Orgunit>
</rdf:Description>
<rdf:Description rdf:about="">
<dcterms:created rdf:resource="rdf:#0aa62278-0265-4231-9113-c5f20670dce4"/>
<dc:creator rdf:resource="rdf:#a7988c5d-8599-4518-87fa-7a1be4964ec2"/>
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