Location: Costa, Holmes, Mcculloch, 2001 @ b7765b942177 / costa_holmes_mcculloch_2001.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2009-06-17 13:23 +1200
Desc:
committing version02 of costa_holmes_mcculloch_2001
Permanent Source URI:
http://models.cellml.org/workspace/costa_holmes_mcculloch_2001/rawfile/b7765b9421772940c359ce3650516f18cb4336d7/costa_holmes_mcculloch_2001.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  costa_law_1991.xml

CREATED :  308th July 2005

LAST MODIFIED : 18th February 2004

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 Orthotropic Exponential Constitutive relationship proposed by Costa et. al. (2001), it deals with the situation of modelling the three dimensional mechanical properties of cardiac tissue.


CHANGES:
18/02/04 - CML - Completed the Metadata.  
  
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<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>

            ValidateCellML verifies this model as valid CellML with consistent units.
          </para>
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  <sect1 id="sec_structure">
<title>Model Structure</title>

<para>
The mechanics of the heart are multi-dimensional by nature, the constitutive properties of myocardium are three dimensional; anisotropic, nonlinear 
and time dependent. The significance of this is that the forces generated by the ventricular sarcomeres (basic functional units of muscle) are converted 
to chamber pressures in the heart. These forces and chamber pressures are in turn dependant on the three-dimensional geometry and myofibre architecture 
of the ventricular myocardium.
</para>

<para>
One of the main problems in modeling the heart and its mechanical properties is its inherent multi-dimensional nature; the foremost issues of concern 
include identifying functional forms and parameters of the constitutive equations, which describe the material properties of the resting and active, 
normal and diseased myocardium.
</para>

<para>
Formulating useful constitutive laws are the key to solving the problem of modelling cardiac mechanics, and requires a combination of things. 
Such as multi-axial tissue testing in vitro, microstructural modelling based on quantitative morphology, statistical parameter estimation, and validation 
with measurements from intact hearts.
</para>

<para>
The inability to simplify myocardium mechanics to a 2D level requires a more rigorous approach, and so mathematical models are needed to interpret 
experimental and clinical observations on regional myocardial deformations.
</para>

<para>
Because the problem of modelling cardiac mechanics is nonlinear, dynamic and three-dimensional, numerical methods are essential for accurate 
quantitative analysis. Many aspects of the problem are covered elsewhere: LeGrice <emphasis>et al.</emphasis> (2001) and <ulink url="http://www.cellml.org/models/guccione_mcculloch_waldman_1991_version01">
Guccione <emphasis>et al.</emphasis> (1991) </ulink>.
</para>

<para>
In the paper described here, Kevin Costa, Jeffrey Holmes and Andrew McCulloch review a critical challenge in myocardial mechanics: developing accurate 
constitutive models that describe how the structure and biophysics of the normal and diseased myocardium give rise to the mechanical responses of the 
intact tissue. 
</para>

<para>
While much of the work in this field builds on uniaxial and two-dimensional studies, the authors focus primarily on three-dimensional measurements and 
models.
</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>
Modelling cardiac mechanical properties in three dimensions, K.D. Costa, J.W. Holmes and A. D. McCulloch, 2001. 
	 <emphasis>Philosophical Transactions of The Royal Society</emphasis>
	, 359, 1233-1250.  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/">PubMed ID: Unknown</ulink>  </para>
	 
</sect1>
</article>
</documentation>
  

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  <rdf:Description rdf:about="rdf:#1454180c-72cb-4ead-a564-d7b88c4c948d">
    <dcterms:W3CDTF>2007-12-04T12:21:03+13:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0a7580b5-952c-46f5-996f-489f77658a29">
    <vCard:N rdf:resource="rdf:#7346b5b0-9ffb-4cd4-944d-97fa3e6e15ef"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3f3ac4a8-146d-42c5-aef1-536072f938f4">
    <dc:title>Philosophical Transactions of The Royal Society</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#5c9d91ac-ba89-4597-9268-5598f295bbf7">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value>
      <rdf:Bag>
        <rdf:li>costa law</rdf:li>
        <rdf:li>mechanical constitutive laws</rdf:li>
        <rdf:li>cardiac mechanics</rdf:li>
      </rdf:Bag>
    </rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="#equations">
    <cmeta:comment rdf:resource="rdf:#d51cfa53-0aad-4d27-9227-1b78b0b293d9"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#77e5557f-2366-48f1-b852-8b1500e34bbb">
    <dcterms:modified rdf:resource="rdf:#d197e273-dc68-4f63-9ecc-02acf35c415e"/>
    <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:#24f91ec0-4edb-4259-b0b9-09351c59eede"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c902de92-6f02-4768-abfb-828b4671d605">
    <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:#d197e273-dc68-4f63-9ecc-02acf35c415e">
    <dcterms:W3CDTF>2004-02-18</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="#interface">
    <cmeta:comment rdf:resource="rdf:#c902de92-6f02-4768-abfb-828b4671d605"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ddacfa1b-045b-48de-8759-fd85f68d19c6">
    <bqs:Pubmed_id/>
    <bqs:JournalArticle rdf:resource="rdf:#a9cf18ec-ed50-48ec-9181-0633ff354212"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#f375712b-6865-4b17-9abc-c0934f230d72">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c5a2d1c6-7d02-483c-9dd5-4223f2300052">
    <vCard:ORG rdf:resource="rdf:#0e7eaffb-53fa-4836-8432-77a49b35a112"/>
    <vCard:EMAIL rdf:resource="rdf:#244dbd03-fd51-48dd-a09f-76f177e53b64"/>
    <vCard:N rdf:resource="rdf:#639e3ab8-ad86-4eec-8473-fc078c44e8a7"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#e3e66734-22e7-4dc3-954b-855523a824da">
    <dcterms:W3CDTF>2001-06-15 00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#0ef47e0a-023b-4a79-b8eb-4dabfd1b997e">
    <dcterms:modified rdf:resource="rdf:#8748152d-ce84-488e-9709-7b35f8b3b4a3"/>
    <rdf:value>updated curation status</rdf:value>
    <cmeta:modifier rdf:resource="rdf:#57d78bca-38c6-465d-b8b4-03ba7792bb09"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#20c32c6d-6c4f-4d2e-aad8-ab21aa4be2d6">
    <vCard:ORG rdf:resource="rdf:#f375712b-6865-4b17-9abc-c0934f230d72"/>
    <vCard:EMAIL rdf:resource="rdf:#c2519afa-641b-4776-a56e-7405564b8740"/>
    <vCard:N rdf:resource="rdf:#ed9145c2-293b-40a9-b8a9-4e63f0dd7af9"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#24f91ec0-4edb-4259-b0b9-09351c59eede">
    <vCard:N rdf:resource="rdf:#30800923-8f37-4fac-8217-0135e03f1e7a"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a2e191e5-52de-4cf2-ac23-c26d1d98e4f9">
    <dcterms:W3CDTF>2003-12-28</dcterms:W3CDTF>
  </rdf:Description>
</rdf:RDF>
</model>