<?xml version='1.0' encoding='utf-8'?>
<!-- FILE : de_paor_model_1986.xml
CREATED : 24th September 2007
LAST MODIFIED : 24th September 2007
AUTHOR : Catherine Lloyd
Bioengineering Institute
The University of Auckland
MODEL STATUS : This model conforms to the CellML 1.1 Specification.
DESCRIPTION : This file contains a CellML description of De Paor and Timmons's 1986 feedback oscillator model for circulatory autoregulation.
CHANGES:
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<title>A feedback oscillator model for circulatory autoregulation</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
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<shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
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<section id="sec_status">
<title>Model Status</title>
<para>
This CellML version of the model has been checked in COR and OpenCell and the model runs to recreate the published results. We are grateful to the model author for their assistance in getting this CellML version of their model running. A PCEnv session is also available for this model and reproduces part of Figure 5 from the publication.
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<para>ValidateCellML confirms this model as valid CellML with full unit consistency.
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<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
Circulatory autoregulation can be defined as the ability of an isolated organ to maintain a constant, or almost constant, blood flow rate over a range of perfusion pressures. In the study described here Annraoi De Paor and Patrick Timmons have developed a mathematical model which is based on physiological data. Simulation results demonstrate that autoregulation can be achieved by pressure-induced oscillations in the arteriolar radius.
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<caption>Schematic diagram of the De Paor et al model.</caption>
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<para>
The complete original paper reference is cited below:
</para>
<para>
A feedback oscillator model for circulatory autoregulation, Annraoi M. De Paor and Patrick Timmons, 1986,
<emphasis>International Journal of Control</emphasis>
, 43, 679-688.
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<vCard:Given>James</vCard:Given>
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<dcterms:W3CDTF>1986-00-00 00:00</dcterms:W3CDTF>
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<vCard:Given>Annraoi</vCard:Given>
<vCard:Family>De Paor</vCard:Family>
<vCard:Other>M</vCard:Other>
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<vCard:Given>Catherine</vCard:Given>
<vCard:Family>Lloyd</vCard:Family>
<vCard:Other>May</vCard:Other>
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<rdf:Description rdf:about="#F">
<dcterms:alternative>wall force</dcterms:alternative>
<dc:title>F</dc:title>
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<vCard:Given>Patrick</vCard:Given>
<vCard:Family>Timmons</vCard:Family>
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<dc:title>Journal of Pineal Research</dc:title>
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<rdf:value>Several variables have been annotated with cmeta:id's to allow creation of a PCEnv session. Also added some simulation metadata - duration = 20 time units (dimensionless). </rdf:value>
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<dc:title>A feedback oscillator model for circulatory autoregulation</dc:title>
<bqs:volume>43</bqs:volume>
<bqs:first_page>679</bqs:first_page>
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<bqs:last_page>688</bqs:last_page>
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<dc:publisher>The University of Auckland, Bioengineering Institute</dc:publisher>
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<dcterms:W3CDTF>2007-09-25T00:00:00+00:00</dcterms:W3CDTF>
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<dc:title>De Paor and Timmons's 1986 feedback oscillator model for circulatory autoregulation.</dc:title>
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<dcterms:alternative>laminar flow</dcterms:alternative>
<dc:title>f</dc:title>
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<rdf:Description rdf:about="rdf:#017a958d-85f6-4ed0-81c8-86a442f05722">
<dcterms:W3CDTF>2007-10-25T09:00:16+13:00</dcterms:W3CDTF>
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<vCard:FN>Catherine Lloyd</vCard:FN>
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<rdf:Description rdf:about="#r">
<dcterms:alternative>radius</dcterms:alternative>
<dc:title>r</dc:title>
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