Location: Egli, Bertram, Sellix, Freeman, 2004 @ b1e63c49b35b / egli_bertram_sellix_freeman_2004.cellml

Author:
pmr2.import <nobody@models.cellml.org>
Date:
2007-08-07 21:02:58+12:00
Desc:
committing version01 of egli_bertram_sellix_freeman_2004
Permanent Source URI:
https://models.cellml.org/workspace/egli_bertram_sellix_freeman_2004/rawfile/b1e63c49b35bb44f701c5ece1a2c110c9094c88f/egli_bertram_sellix_freeman_2004.cellml

<?xml version='1.0' encoding='utf-8'?>
<!--  FILE :  egli_model_2004.xml

CREATED :  3rd August 2007

LAST MODIFIED : 3rd August 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 Egli et al's 2004 mathematical model of rhythmic secretion of prolactin in rats.

CHANGES:  
  
--><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="egli_model_2004" name="egli_model_2004_version01">

<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
  <articleinfo>
  <title>Rhythmic secretion of prolactin in rats: action of oxytocin coordinated by vasoactive intestinal polypeptide of suprachiasmatic nucleus origin</title>
  <author>
    <firstname>Catherine</firstname>
          <surname>Lloyd</surname>
    <affiliation>
      <shortaffil>Bioengineering Institute, University of Auckland</shortaffil>
    </affiliation>
  </author>
</articleinfo>
  <sect1 id="sec_structure">
  <title>Model Structure</title>

<para>
Prolactin (PRL) is a hormone which is synthesised and secreted by lactotrophs in the anterior lobe of the pituitary gland.  It plays an important role in lactation, and also contributes to a wide range of physiological functions.  Its release is inhibited by dopamine (DA), and is stimulated by oxytocin (OT).  Neurons in the paraventricular nucleus of the hypothalamus are major sites of OT synthesis, and they themselves are influenced by the secretion of vasoactive intestinal polypeptide (VIP) by the suprachiasmatic nucleus (SCN).  The SCN is also part of the hypothalamus, and is known for its pacemaker function, often regulating the timing of circadian rhythms in mammals. 
</para>

<para>
In the paper described here, Egli <emphasis>et al.</emphasis> present a mathematical model of the mechanisms regulating the rhythmic secretion of prolactin in rats (see figure below).  In this model the SCN acts as a pacemaker, controlling the activity of the hypothalamic DA and OT neurons via its rhythmic VIP secretion.  In turn, the activity of these DA and OT neurons combine to determine the PRL secretory pattern.
</para>

<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
  <imageobject>
    <objectinfo>
      <title>model diagram</title>
    </objectinfo>
    <imagedata fileref="egli_model_2004.gif"/>
  </imageobject>
</mediaobject>
<caption>Schematic diagram of the network proposed to be involved in the regulation of prolactin (PRL) secretion in  response to uterine cervical stimulation (CS).  Vasoactive intestinal polypeptide (VIP) is secreted from the suprachiasmatic nucleus and relays the time of day to DAergic and OTergic neurosecretory cells via inhibition.  x represents an additional stimulatory input which feeds into the OT neurons.  DA neurons provide an inhibitory input while OT neurons provide a stimulatory input to the lactotrophs to regulate the synthesis and secretion of PRL.</caption>
</informalfigure>

<para>
The complete original paper reference is cited below:
</para>

<para>
<ulink url="http://endo.endojournals.org/cgi/content/abstract/145/7/3386">Rhythmic secretion of prolactin in rats: action of oxytocin coordinated by vasoactive intestinal polypeptide of suprachiasmatic nucleus origin</ulink>, 2004, Marcel Egli, Richard Bertram, Michael T. Sellix, and Marc E. Freeman.  <ulink url="http://endo.endojournals.org/">
            <emphasis>Endocrinology</emphasis>
          </ulink>, 145, 3386-3394.  (<ulink url="http://endo.endojournals.org/cgi/content/full/145/7/3386">Full text</ulink> and <ulink url="http://endo.endojournals.org/cgi/reprint/145/7/3386">PDF</ulink> versions of the article are available to journal subscribers on the <emphasis>Endocrinology</emphasis> website.)  <ulink url="http://www.ncbi.nlm.nih.gov/entrez/query.fcgi?db=pubmed&amp;cmd=Retrieve&amp;dopt=AbstractPlus&amp;list_uids=15033917&amp;query_hl=1&amp;itool=pubmed_docsum">PubMed ID: 15033917</ulink>
</para>

<para>
The authors highlight that the original code they wrote for this model can be downloaded <ulink url="http://www.math.fsu.edu/~bertram/software/pituitary/Endo_04.ode">here</ulink>.
</para>

</sect1>
</article>
</documentation> 




  
  <units name="hour">
    <unit units="second" multiplier="3600.0"/>
  </units>
  
  <component name="environment">
    <variable units="hour" public_interface="out" name="time"/>
  </component>
  
  <component cmeta:id="PRL" name="PRL">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="PRL">
        <dc:title>PRL</dc:title>
        <dcterms:alternative>prolactin</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>  
    <variable units="dimensionless" name="PRL" initial_value="20.0"/>
    
    <variable units="dimensionless" name="kD" initial_value="300.0"/>
    <variable units="dimensionless" name="kO" initial_value="9.0"/>
    <variable units="dimensionless" name="rP" initial_value="300000.0"/>
    <variable units="dimensionless" name="qP" initial_value="0.5"/>
    
    <variable units="dimensionless" public_interface="in" name="OT"/>
    <variable units="dimensionless" public_interface="in" name="DA"/>
    <variable units="hour" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> PRL </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> rP </ci>
            <apply>
              <divide/>
              <cn cellml:units="dimensionless"> 1.0 </cn>
              <apply>
                <plus/>
                <ci> kD </ci>
                <ci> DA </ci>
              </apply>
            </apply>
            <apply>
              <power/>
              <apply>
                <divide/>
                <ci> OT </ci>
                <apply>
                  <plus/>
                  <ci> kO </ci>
                  <ci> OT </ci>
                </apply>
              </apply>
              <cn cellml:units="dimensionless"> 2.0 </cn>
            </apply>
          </apply>
          <apply>
            <times/>
            <ci> qP </ci>
            <ci> PRL </ci>
          </apply>
        </apply>
      </apply>
    </math>
  </component>

  <component cmeta:id="DA" name="DA">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="DA">
        <dc:title>DA</dc:title>
        <dcterms:alternative>dopamine</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>  
    <variable units="dimensionless" public_interface="out" name="DA" initial_value="20000.0"/>
    
    <variable units="dimensionless" name="vD"/>
    <variable units="dimensionless" name="vDbar" initial_value="10000.0"/>
    <variable units="dimensionless" name="DA_infinity" initial_value="20000.0"/>
    <variable units="dimensionless" name="qD" initial_value="0.2"/>
    
    <variable units="hour" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> DA </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> qD </ci>
            <apply>
              <minus/>
              <ci> DA_infinity </ci>
              <ci> DA </ci>
            </apply>
          </apply>
          <ci> vD </ci>
        </apply>
      </apply>

      <apply>
        <eq/> 
        <ci> vD </ci> 
        <piecewise>
          <piece>
            <ci> vDbar </ci>
            <apply>
              <and/>
              <apply>
                <geq/>
                <ci> time </ci>
                <cn cellml:units="hour"> 2.0 </cn>
              </apply>
              <apply>
                <leq/>
                <ci> time </ci>
                <cn cellml:units="hour"> 4.0 </cn>
              </apply>
            </apply>
          </piece>
          <otherwise>
            <cn cellml:units="dimensionless"> 0.0 </cn>
          </otherwise>
        </piecewise>
      </apply>
    </math>
  </component>

  <component cmeta:id="OT" name="OT">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="OT">
        <dc:title>OT</dc:title>
        <dcterms:alternative>oxytocin</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>  
    <variable units="dimensionless" public_interface="out" name="OT" initial_value="25.0"/>
    
    <variable units="dimensionless" name="kx" initial_value="50.0"/>
    <variable units="dimensionless" name="vO"/>
    <variable units="dimensionless" name="vObar" initial_value="500.0"/>
    <variable units="dimensionless" name="rO" initial_value="1100.0"/>
    <variable units="dimensionless" name="qO" initial_value="1.0"/>
    
    <variable units="dimensionless" public_interface="in" name="x"/>
    <variable units="hour" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <apply>
          <diff/> 
          <bvar>
            <ci>time</ci>
          </bvar> 
          <ci> OT </ci> 
        </apply>
        <apply>
          <minus/>
          <apply>
            <times/>
            <ci> rO </ci>
            <apply>
              <divide/>
              <ci> x </ci>
              <apply>
                <plus/>
                <ci> kx </ci>
                <ci> x </ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <plus/>
            <apply>
              <times/>
              <ci> qO </ci>
              <ci> OT </ci>
            </apply>
            <ci> vO </ci>
          </apply>
        </apply>
      </apply>

      <apply>
        <eq/> 
        <ci> vO </ci> 
        <piecewise>
          <piece>
            <ci> vObar </ci>
            <apply>
              <and/>
              <apply>
                <geq/>
                <ci> time </ci>
                <cn cellml:units="hour"> 2.0 </cn>
              </apply>
              <apply>
                <leq/>
                <ci> time </ci>
                <cn cellml:units="hour"> 4.0 </cn>
              </apply>
            </apply>
          </piece>
          <otherwise>
            <cn cellml:units="dimensionless"> 0.0 </cn>
          </otherwise>
        </piecewise>
      </apply>
    </math>
  </component>

  <component cmeta:id="x" name="x">
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
      <rdf:Description rdf:about="x">
        <dc:title>x</dc:title>
        <dcterms:alternative>stimulus</dcterms:alternative>  
      </rdf:Description>
    </rdf:RDF>  
    <variable units="dimensionless" public_interface="out" name="x"/>
    
    <variable units="hour" public_interface="in" name="time"/>
    
    <math xmlns="http://www.w3.org/1998/Math/MathML"> 
      <apply>
        <eq/> 
        <ci> x </ci> 
        <piecewise>
          <piece>
            <cn cellml:units="dimensionless"> 51.0 </cn>
            <apply>
              <and/>
              <apply>
                <geq/>
                <ci> time </ci>
                <cn cellml:units="hour"> 2.0 </cn>
              </apply>
              <apply>
                <leq/>
                <ci> time </ci>
                <cn cellml:units="hour"> 4.0 </cn>
              </apply>
            </apply>
          </piece>
          <piece>
            <cn cellml:units="dimensionless"> 51.0 </cn>
            <apply>
              <and/>
              <apply>
                <geq/>
                <ci> time </ci>
                <cn cellml:units="hour"> 16.0 </cn>
              </apply>
              <apply>
                <leq/>
                <ci> time </ci>
                <cn cellml:units="hour"> 18.0 </cn>
              </apply>
            </apply>
          </piece>
          <otherwise>
            <cn cellml:units="dimensionless"> 1.0 </cn>
          </otherwise>
        </piecewise>
      </apply>
    </math>
  </component>
  
  <connection>
    <map_components component_2="environment" component_1="PRL"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="DA"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
    <map_components component_2="environment" component_1="OT"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>
  
  <connection>
    <map_components component_2="environment" component_1="x"/>
    <map_variables variable_2="time" variable_1="time"/>
  </connection>

  <connection>
    <map_components component_2="OT" component_1="PRL"/>
    <map_variables variable_2="OT" variable_1="OT"/>
  </connection> 

  <connection>
    <map_components component_2="DA" component_1="PRL"/>
    <map_variables variable_2="DA" variable_1="DA"/>
  </connection>

  <connection>
    <map_components component_2="x" component_1="OT"/>
    <map_variables variable_2="x" variable_1="x"/>
  </connection> 

<rdf:RDF>
  <rdf:Bag rdf:about="rdf:#4529f23d-b09c-40d8-a88d-f3dab3a2a4fb">
    <rdf:li>endocrine</rdf:li>
    <rdf:li>prolactin</rdf:li>
    <rdf:li>oxytocin</rdf:li>
    <rdf:li>dopamine</rdf:li>
  </rdf:Bag>
  <rdf:Seq rdf:about="rdf:#312efeea-e2fe-4dfa-bd41-5a86ebe5026d">
    <rdf:li rdf:resource="rdf:#d6ef45d4-7f86-4374-860e-3b4a2aa23c5a"/>
    <rdf:li rdf:resource="rdf:#c05a1d39-fb52-41a2-b44c-401ef2faa134"/>
    <rdf:li rdf:resource="rdf:#624a133f-0281-4054-b93f-4a5cec65b222"/>
    <rdf:li rdf:resource="rdf:#a9eb418f-b72a-492b-a858-d333255d83ad"/>
  </rdf:Seq>
  <rdf:Description rdf:about="rdf:#9ebb27ff-23c2-4879-8c33-d1de70720ad2">
    <vCard:Given>Richard</vCard:Given>
    <vCard:Family>Bertram</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="">
    <dc:publisher>The University of Auckland, Bioengineering Institute</dc:publisher>
    <cmeta:comment rdf:resource="rdf:#ac81e03f-16dd-4693-987c-eab16b7b49a1"/>
    <dcterms:created rdf:resource="rdf:#356a4b4d-db36-4c8e-b9d9-e3b05aed95dd"/>
    <dc:creator rdf:resource="rdf:#8a041d6c-60b4-4aee-b827-aec2a220ba43"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#80cf4c24-47a8-4c7b-831a-64464d1bc37d">
    <vCard:FN>Catherine Lloyd</vCard:FN>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#07ee9710-1775-46a1-8deb-9f4f7e344b6d">
    <vCard:Given>Marc</vCard:Given>
    <vCard:Family>Freeman</vCard:Family>
    <vCard:Other>E</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a3be8af6-085a-4f51-9542-b9c91176a1e4">
    <vCard:Given>Catherine</vCard:Given>
    <vCard:Family>Lloyd</vCard:Family>
    <vCard:Other>May</vCard:Other>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#5ca91453-754a-47a4-8454-316648ce8460">
    <dc:title>Endocrinology</dc:title>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#ac81e03f-16dd-4693-987c-eab16b7b49a1">
    <dc:creator rdf:resource="rdf:#1caf9d54-55a6-499a-b994-b9f71fd4df1a"/>
    <rdf:value/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#383683c8-e14a-4901-9e72-87d65a7db4d1">
    <bqs:Pubmed_id>15033917</bqs:Pubmed_id>
    <bqs:JournalArticle rdf:resource="rdf:#c5f46e3e-6995-421a-b770-d80652c938b9"/>
  </rdf:Description>
  <rdf:Description rdf:about="#egli_model_2004">
    <dc:title>
        Egli et al's 2004 mathematical model of rhythmic secretion of prolactin in rats.
      </dc:title>
    <cmeta:comment rdf:resource="rdf:#3181d0e7-82fd-4fe6-9a1b-572c1baae1d1"/>
    <bqs:reference rdf:resource="rdf:#383683c8-e14a-4901-9e72-87d65a7db4d1"/>
    <bqs:reference rdf:resource="rdf:#54c60844-79bf-405f-bb13-faf670492fe9"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#8a041d6c-60b4-4aee-b827-aec2a220ba43">
    <vCard:ORG rdf:resource="rdf:#dc0cd738-4a2e-4f9e-956d-b0af6db61182"/>
    <vCard:EMAIL rdf:resource="rdf:#fc14b498-1d35-4141-8212-f98491919443"/>
    <vCard:N rdf:resource="rdf:#a3be8af6-085a-4f51-9542-b9c91176a1e4"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#f6331188-04e4-44c4-bdf4-a8e7e1a90762">
    <bqs:subject_type>keyword</bqs:subject_type>
    <rdf:value rdf:resource="rdf:#4529f23d-b09c-40d8-a88d-f3dab3a2a4fb"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#d6ef45d4-7f86-4374-860e-3b4a2aa23c5a">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#405c6a00-6d11-425f-b666-5b2dc6c225d5"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c5f46e3e-6995-421a-b770-d80652c938b9">
    <dc:creator rdf:resource="rdf:#312efeea-e2fe-4dfa-bd41-5a86ebe5026d"/>
    <dc:title>Rhythmic secretion of prolactin in rats: action of oxytocin coordinated by vasoactive intestinal polypeptide of suprachiasmatic nucleus origin</dc:title>
    <bqs:volume>145</bqs:volume>
    <bqs:first_page>3386</bqs:first_page>
    <bqs:Journal rdf:resource="rdf:#5ca91453-754a-47a4-8454-316648ce8460"/>
    <dcterms:issued rdf:resource="rdf:#33be18bc-1a19-4732-85cd-9af091f91362"/>
    <bqs:last_page>3394</bqs:last_page>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#c05a1d39-fb52-41a2-b44c-401ef2faa134">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#9ebb27ff-23c2-4879-8c33-d1de70720ad2"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#54c60844-79bf-405f-bb13-faf670492fe9">
    <dc:subject rdf:resource="rdf:#f6331188-04e4-44c4-bdf4-a8e7e1a90762"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#3181d0e7-82fd-4fe6-9a1b-572c1baae1d1">
    <dc:creator rdf:resource="rdf:#80cf4c24-47a8-4c7b-831a-64464d1bc37d"/>
    <rdf:value>This is a CellML description of Egli et al's 2004 mathematical model of rhythmic secretion of prolactin in rats.</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#fc14b498-1d35-4141-8212-f98491919443">
    <rdf:type rdf:resource="http://imc.org/vCard/3.0#internet"/>
    <rdf:value>c.lloyd@auckland.ac.nz</rdf:value>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#33be18bc-1a19-4732-85cd-9af091f91362">
    <dcterms:W3CDTF>2004-07-00 00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#356a4b4d-db36-4c8e-b9d9-e3b05aed95dd">
    <dcterms:W3CDTF>2007-08-07T00:00:00+00:00</dcterms:W3CDTF>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#405c6a00-6d11-425f-b666-5b2dc6c225d5">
    <vCard:Given>Marcel</vCard:Given>
    <vCard:Family>Egli</vCard:Family>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#1caf9d54-55a6-499a-b994-b9f71fd4df1a">
    <vCard:FN/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#dc0cd738-4a2e-4f9e-956d-b0af6db61182">
    <vCard:Orgname>The University of Auckland</vCard:Orgname>
    <vCard:Orgunit>The Bioengineering Institute</vCard:Orgunit>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#a9eb418f-b72a-492b-a858-d333255d83ad">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#07ee9710-1775-46a1-8deb-9f4f7e344b6d"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#624a133f-0281-4054-b93f-4a5cec65b222">
    <rdf:type rdf:resource="http://www.cellml.org/bqs/1.0#Person"/>
    <vCard:N rdf:resource="rdf:#f2b968be-1555-4c68-9a7a-de6d1c05c727"/>
  </rdf:Description>
  <rdf:Description rdf:about="rdf:#f2b968be-1555-4c68-9a7a-de6d1c05c727">
    <vCard:Given>Michael</vCard:Given>
    <vCard:Family>Sellix</vCard:Family>
    <vCard:Other>T</vCard:Other>
  </rdf:Description>
</rdf:RDF>
</model>