<?xml version='1.0' encoding='UTF-8' standalone='no'?>
<sbml xmlns="http://www.sbml.org/sbml/level2" level="2" metaid="metaid_0000001" version="1">
  <model id="model_0000001" metaid="metaid_0000002" name="Bertram2006_Endothelin">
    <notes>
      <body xmlns="http://www.w3.org/1999/xhtml">
        <p>The model is according to the paper      <i>Endothelin Action on Pituitary Lactotrophs: One Receptor, Many GTP-Binding Proteins</i>
          Figure 1 has been simulated by MathSBML. The figure for the [Ca2+]i and [Ca2+]ER have been normalized in the paper.Original model comes from http://www.math.fsu.edu/~bertram/software/pituitary      </p>
            <p>The units for parameters and species are varied from one to another, so I omit the unit definition here . Conductances in pS; currents in fA; Ca concentrations in uM; time in ms</p>
            <br/>
            <p>To the extent possible under law, all copyright and related or neighbouring rights to this encoded model have been dedicated to the public domain worldwide. Please refer to      <a href="http://creativecommons.org/publicdomain/zero/1.0/" title="Creative Commons CC0">CC0 Public Domain Dedication</a>
          for more information.      </p>
            <p>In summary, you are entitled to use this encoded model in absolutely any manner you deem suitable, verbatim, or with modification, alone or embedded it in a larger context, redistribute it, commercially or not, in a restricted way or not.</p>
            <br/>
            <p>To cite BioModels Database, please use:      <a href="http://www.ncbi.nlm.nih.gov/pubmed/20587024" target="_blank">Li C, Donizelli M, Rodriguez N, Dharuri H, Endler L, Chelliah V, Li L, He E, Henry A, Stefan MI, Snoep JL, Hucka M, Le Novère N, Laibe C (2010) BioModels Database: An enhanced, curated and annotated resource for published quantitative kinetic models. BMC Syst Biol., 4:92.</a>
                </p>
            </body>
      
    </notes>
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        <rdf:Description rdf:about="#metaid_0000002">
	<dc:creator>
	<rdf:Bag>
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	<vCard:N rdf:parseType="Resource">
	<vCard:Family>He</vCard:Family>
	<vCard:Given>Enuo</vCard:Given>
	</vCard:N>
	<vCard:EMAIL>enuo@caltech.edu</vCard:EMAIL>
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	<vCard:Orgname>BNMC</vCard:Orgname>
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	<dcterms:created rdf:parseType="Resource">
	<dcterms:W3CDTF>2007-08-03T13:17:36Z</dcterms:W3CDTF>
	</dcterms:created>
	<dcterms:modified rdf:parseType="Resource">
	<dcterms:W3CDTF>2012-07-05T16:31:29Z</dcterms:W3CDTF>
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	<rdf:li rdf:resource="http://identifiers.org/biomodels.db/MODEL6509019628"/>
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	<bqmodel:is>
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	<bqmodel:isDescribedBy>
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	<rdf:li rdf:resource="http://identifiers.org/pubmed/16434725"/>
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	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0007188"/>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0004962"/>
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      </rdf:RDF>
    </annotation>
      <listOfUnitDefinitions>
      <unitDefinition id="ms" metaid="metaid_0000082" name="millisecond">
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            <rdf:Description rdf:about="#metaid_0000006">
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          </rdf:RDF>
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            </species>
      <species compartment="cell" id="cer" initialConcentration="260" metaid="metaid_0000007" name="ER calcium concentration">
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          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqmodel="http://biomodels.net/model-qualifiers/" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/">
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            </species>
      <species compartment="cell" id="cAMP" initialConcentration="1" metaid="metaid_0000009">
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          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqmodel="http://biomodels.net/model-qualifiers/" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/">
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	</bqbiol:is>
	</rdf:Description>
	
          </rdf:RDF>
        </annotation>
            </species>
    </listOfSpecies>
    <listOfParameters>
      <parameter id="vh" metaid="metaid_0000010" value="-20"/>
      <parameter id="sh" metaid="metaid_0000011" value="70"/>
      <parameter id="tauh" metaid="metaid_0000012" value="20"/>
      <parameter id="kserca" metaid="metaid_0000013" value="0.4"/>
      <parameter id="sigmav" metaid="metaid_0000014" value="10"/>
      <parameter id="kc" metaid="metaid_0000015" value="0.15"/>
      <parameter id="vn" metaid="metaid_0000016" value="-16"/>
      <parameter id="vk" metaid="metaid_0000017" value="-75"/>
      <parameter id="taun" metaid="metaid_0000018" value="20"/>
      <parameter id="gk" metaid="metaid_0000019" value="3500"/>
      <parameter id="sn" metaid="metaid_0000020" value="5"/>
      <parameter id="vca" metaid="metaid_0000021" value="25"/>
      <parameter id="gca" metaid="metaid_0000022" value="2000"/>
      <parameter id="vm" metaid="metaid_0000023" value="-20"/>
      <parameter id="sm" metaid="metaid_0000024" value="12"/>
      <parameter id="lambda" metaid="metaid_0000025" value="1.25"/>
      <parameter id="cm" metaid="metaid_0000026" value="5300"/>
      <parameter id="f" metaid="metaid_0000027" value="0.01"/>
      <parameter id="fer" metaid="metaid_0000028" value="0.01"/>
      <parameter id="alpha" metaid="metaid_0000029" value="4.5E-6"/>
      <parameter id="perl" metaid="metaid_0000030" value="0.0005"/>
      <parameter id="dact" metaid="metaid_0000031" value="0.35"/>
      <parameter id="dip3" metaid="metaid_0000032" value="0.5"/>
      <parameter id="dinh" metaid="metaid_0000033" value="0.4"/>
      <parameter constant="false" id="ninf" metaid="metaid_0000034"/>
      <parameter constant="false" id="minf" metaid="metaid_0000035"/>
      <parameter constant="false" id="hinf" metaid="metaid_0000036"/>
      <parameter constant="false" id="ica" metaid="metaid_0000037"/>
      <parameter constant="false" id="igirk" metaid="metaid_0000038"/>
      <parameter constant="false" id="ik" metaid="metaid_0000039"/>
      <parameter constant="false" id="girk" metaid="metaid_0000045" value="1000"/>
      <parameter constant="false" id="IP3" metaid="metaid_0000048" value="0"/>
      <parameter constant="false" id="ainf" metaid="metaid_0000050"/>
      <parameter constant="false" id="hinfer" metaid="metaid_0000051"/>
      <parameter constant="false" id="jerp" metaid="metaid_0000052"/>
      <parameter constant="false" id="binf" metaid="metaid_0000053"/>
      <parameter constant="false" id="o" metaid="metaid_0000054"/>
      <parameter constant="false" id="jerleak" metaid="metaid_0000061"/>
      <parameter constant="false" id="jerip3" metaid="metaid_0000062"/>
      <parameter constant="false" id="jertot" metaid="metaid_0000063"/>
      <parameter constant="false" id="jmemtot" metaid="metaid_0000064"/>
      <parameter id="ki" metaid="metaid_0000069" value="0.5"/>
      <parameter constant="false" id="perl_inf" metaid="metaid_0000070"/>
      <parameter id="taudir" metaid="metaid_0000072" value="20000"/>
      <parameter id="cAMPlow" metaid="metaid_0000073" value="0.2">
        <notes>
          <p xmlns="http://www.w3.org/1999/xhtml">
        Set cAMPlow=0.2 for nM ET, and cAMPlow=0.5 for pM ET</p>
          
        </notes>
      </parameter>
      <parameter constant="false" id="ETswitch" metaid="metaid_0000079" value="0"/>
      <parameter constant="false" id="h" metaid="metaid_0000083" value="0"/>
      <parameter constant="false" id="inh" metaid="metaid_0000086" name="variable for direct inhibition of secretion" value="1"/>
      <parameter constant="false" id="V" metaid="metaid_0000088" name="voltage" value="-60"/>
      <parameter constant="false" id="n" metaid="metaid_0000090" name="delayed rectifier activation" value="0"/>
    </listOfParameters>
    <listOfRules>
      <assignmentRule metaid="metaid_0000040" variable="minf">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <cn type="integer"> 1 </cn>
            <apply>
              <plus/>
              <cn type="integer"> 1 </cn>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <minus/>
                    <ci> vm </ci>
                    <ci> V </ci>
                  </apply>
                  <ci> sm </ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </math>
            </assignmentRule>
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        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <cn type="integer"> 1 </cn>
            <apply>
              <plus/>
              <cn type="integer"> 1 </cn>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <minus/>
                    <ci> vn </ci>
                    <ci> V </ci>
                  </apply>
                  <ci> sn </ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000042" variable="hinf">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <cn type="integer"> 1 </cn>
            <apply>
              <plus/>
              <cn type="integer"> 1 </cn>
              <apply>
                <exp/>
                <apply>
                  <divide/>
                  <apply>
                    <minus/>
                    <ci> vh </ci>
                    <ci> V </ci>
                  </apply>
                  <ci> sh </ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000043" variable="ica">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <ci> gca </ci>
            <ci> minf </ci>
            <apply>
              <minus/>
              <ci> V </ci>
              <ci> vca </ci>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000044" variable="igirk">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <ci> girk </ci>
            <ci> h </ci>
            <apply>
              <minus/>
              <ci> V </ci>
              <ci> vk </ci>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000047" variable="ik">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <ci> gk </ci>
            <ci> n </ci>
            <apply>
              <minus/>
              <ci> V </ci>
              <ci> vk </ci>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000055" variable="ainf">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <cn type="integer"> 1 </cn>
            <apply>
              <plus/>
              <cn type="integer"> 1 </cn>
              <apply>
                <divide/>
                <ci> dact </ci>
                <ci> c </ci>
              </apply>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000056" variable="hinfer">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <cn type="integer"> 1 </cn>
            <apply>
              <plus/>
              <cn type="integer"> 1 </cn>
              <apply>
                <divide/>
                <ci> c </ci>
                <ci> dinh </ci>
              </apply>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000057" variable="jerp">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <ci> kserca </ci>
            <ci> c </ci>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000058" variable="binf">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <ci> IP3 </ci>
            <apply>
              <plus/>
              <ci> IP3 </ci>
              <ci> dip3 </ci>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000059" variable="o">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <apply>
              <power/>
              <ci> ainf </ci>
              <cn type="integer"> 3 </cn>
            </apply>
            <apply>
              <power/>
              <ci> binf </ci>
              <cn type="integer"> 3 </cn>
            </apply>
            <apply>
              <power/>
              <ci> hinfer </ci>
              <cn type="integer"> 3 </cn>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000065" variable="jmemtot">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <minus/>
            <apply>
              <plus/>
              <apply>
                <times/>
                <ci> alpha </ci>
                <ci> ica </ci>
              </apply>
              <apply>
                <times/>
                <ci> kc </ci>
                <ci> c </ci>
              </apply>
            </apply>
          </apply>
        </math>
            </assignmentRule>
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        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <ci> perl </ci>
            <apply>
              <minus/>
              <ci> cer </ci>
              <ci> c </ci>
            </apply>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000067" variable="jerip3">
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <ci> o </ci>
            <apply>
              <minus/>
              <ci> cer </ci>
              <ci> c </ci>
            </apply>
          </apply>
        </math>
            </assignmentRule>
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        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <minus/>
            <apply>
              <plus/>
              <ci> jerleak </ci>
              <ci> jerip3 </ci>
            </apply>
            <ci> jerp </ci>
          </apply>
        </math>
            </assignmentRule>
      <assignmentRule metaid="metaid_0000071" variable="perl_inf">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqmodel="http://biomodels.net/model-qualifiers/" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/">
            <rdf:Description rdf:about="#metaid_0000071">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0046879"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
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        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> inh </ci>
              <ci> cAMP </ci>
              <apply>
                <power/>
                <ci> c </ci>
                <cn type="integer"> 4 </cn>
              </apply>
            </apply>
            <apply>
              <plus/>
              <apply>
                <power/>
                <ci> ki </ci>
                <cn type="integer"> 4 </cn>
              </apply>
              <apply>
                <power/>
                <ci> c </ci>
                <cn type="integer"> 4 </cn>
              </apply>
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          </apply>
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        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <apply>
              <minus/>
              <ci> hinf </ci>
              <ci> h </ci>
            </apply>
            <ci> tauh </ci>
          </apply>
        </math>
            </rateRule>
      <rateRule metaid="metaid_0000087" variable="inh">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqmodel="http://biomodels.net/model-qualifiers/" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/">
            <rdf:Description rdf:about="#metaid_0000087">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0046888"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
          </rdf:RDF>
        </annotation>
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <times/>
            <ci> ETswitch </ci>
            <apply>
              <divide/>
              <apply>
                <minus/>
                <cn> 0.2 </cn>
                <ci> inh </ci>
              </apply>
              <ci> taudir </ci>
            </apply>
          </apply>
        </math>
            </rateRule>
      <rateRule metaid="metaid_0000089" variable="V">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqmodel="http://biomodels.net/model-qualifiers/" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/">
            <rdf:Description rdf:about="#metaid_0000089">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0042391"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
          </rdf:RDF>
        </annotation>
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <apply>
              <minus/>
              <apply>
                <minus/>
                <apply>
                  <minus/>
                  <ci> ica </ci>
                </apply>
                <ci> ik </ci>
              </apply>
              <ci> igirk </ci>
            </apply>
            <ci> cm </ci>
          </apply>
        </math>
            </rateRule>
      <rateRule metaid="metaid_0000091" variable="n">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqmodel="http://biomodels.net/model-qualifiers/" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/">
            <rdf:Description rdf:about="#metaid_0000091">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0005251"/>
	</rdf:Bag>
	</bqbiol:isVersionOf>
	</rdf:Description>
	
          </rdf:RDF>
        </annotation>
        <math xmlns="http://www.w3.org/1998/Math/MathML">        
          <apply>
            <divide/>
            <apply>
              <times/>
              <ci> lambda </ci>
              <apply>
                <minus/>
                <ci> ninf </ci>
                <ci> n </ci>
              </apply>
            </apply>
            <ci> taun </ci>
          </apply>
        </math>
            </rateRule>
    </listOfRules>
    <listOfReactions>
      <reaction id="reaction_0000001" metaid="metaid_0000092" reversible="false">
        <annotation>
          <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqmodel="http://biomodels.net/model-qualifiers/" xmlns:bqbiol="http://biomodels.net/biology-qualifiers/">
            <rdf:Description rdf:about="#metaid_0000092">
	<bqbiol:isVersionOf>
	<rdf:Bag>
	<rdf:li rdf:resource="http://identifiers.org/go/GO:0051480"/>
	</rdf:Bag>
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