<?xml version="1.0"?>
<!-- FILE : faville_model_2008.xml
CREATED : 4th October 2007
LAST MODIFIED : 20th March 2008
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 Richard Faville et al.'s 2008 biophysically based mathematical model of unitary potential activity in interstitial cells of Cajal.
CHANGES:
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<documentation xmlns="http://cellml.org/tmp-documentation">
<article>
<articleinfo>
<title>A Biophysically Based Mathematical Model of Unitary Potential Activity in Interstitial Cells of Cajal</title>
<author>
<firstname>Catherine</firstname>
<surname>Lloyd</surname>
<affiliation>
<shortaffil>Auckland Bioengineering Institute, The University of Auckland</shortaffil>
</affiliation>
</author>
</articleinfo>
<section id="sec_status">
<title>Model Status</title>
<para>
This CellML model is known to run in both COR and PCEnv to replicate the published results. The units have been checked and are consistent. We'd like to acknowledge Richard Faville for his help in getting the CellML model to replicate his published model.
</para>
</section>
<sect1 id="sec_structure">
<title>Model Structure</title>
<para>
ABSTRACT: Unitary potential (UP) depolarizations are the basic intracellular events responsible for pacemaker activity in interstitial cells of Cajal (ICCs), and are generated at intracellular sites termed "pacemaker units". In this study, we present a mathematical model of the transmembrane ion flows and intracellular Ca(2+) dynamics from a single ICC pacemaker unit acting at near-resting membrane potential. This model quantitatively formalizes the framework of a novel ICC pacemaking mechanism that has recently been proposed. Model simulations produce spontaneously rhythmic UP depolarizations with an amplitude of approximately 3 mV at a frequency of 0.05 Hz. The model predicts that the main inward currents, carried by a Ca(2+)-inhibited nonselective cation conductance, are activated by depletion of sub-plasma-membrane [Ca(2+)] caused by sarcoendoplasmic reticulum calcium ATPase Ca(2+) sequestration. Furthermore, pacemaker activity predicted by our model persists under simulated voltage clamp and is independent of [IP(3)] oscillations. The model presented here provides a basis to quantitatively analyze UP depolarizations and the biophysical mechanisms underlying their production.
</para>
<informalfigure float="0" id="fig_reaction_diagram">
<mediaobject>
<imageobject>
<objectinfo>
<title>model diagram</title>
</objectinfo>
<imagedata fileref="faville_2008.png"/>
</imageobject>
</mediaobject>
<caption>A schematic diagram of the pacemaker unit illustrating all the compartmental volumes and ionic conductances, together with their interactions.</caption>
</informalfigure>
<para>
The complete paper reference is cited below:
</para>
<para>
A Biophysically Based Mathematical Model of Unitary Potential Activity in Interstitial Cells of Cajal, R.A. Faville, A.J. Pullan, K.M. Sanders, and N.P. Smith, 2008, <emphasis>Biophysical Journal</emphasis>. <ulink url="http://www.ncbi.nlm.nih.gov/pubmed/18339738">PubMed ID: 18339738</ulink>
</para>
</sect1>
</article>
</documentation>
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<ci> alpha_phi3 </ci>
<ci> g_alpha </ci>
</apply>
<apply>
<eq/>
<ci> beta_phi3 </ci>
<apply>
<times/>
<ci> g_beta </ci>
<apply>
<divide/>
<apply>
<power/>
<ci> CS2 </ci>
<ci> h_beta </ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci> K_beta </ci>
<ci> h_beta </ci>
</apply>
<apply>
<power/>
<ci> CS2 </ci>
<ci> h_beta </ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
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<component cmeta:id="CS1" name="CS1">
<variable initial_value="0.120" name="CS1" public_interface="out" units="micromolar"/>
<variable name="lambda_MT_S1" units="dimensionless"/>
<variable name="lambda_ER_S1" units="dimensionless"/>
<variable name="JS1S2" public_interface="in" units="flux"/>
<variable name="JNCX" public_interface="in" units="flux"/>
<variable name="JSERCA" public_interface="in" units="flux"/>
<variable name="I_iCa" public_interface="in" units="picoampere"/>
<variable name="delta_s" public_interface="in" units="micromolar_coulomb"/>
<variable name="gamma_S1" public_interface="in" units="dimensionless"/>
<variable name="gamma_MT" public_interface="in" units="dimensionless"/>
<variable name="gamma_ER" public_interface="in" units="dimensionless"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> CS1 </ci>
</apply>
<apply>
<minus/>
<apply>
<plus/>
<ci> JS1S2 </ci>
<apply>
<times/>
<ci> lambda_MT_S1 </ci>
<ci> JNCX </ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<divide/>
<ci> delta_s </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 2.0 </cn>
</apply>
<ci> I_iCa </ci>
</apply>
<apply>
<times/>
<ci> lambda_ER_S1 </ci>
<ci> JSERCA </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> lambda_MT_S1 </ci>
<apply>
<divide/>
<ci> gamma_MT </ci>
<ci> gamma_S1 </ci>
</apply>
</apply>
<apply>
<eq/>
<ci> lambda_ER_S1 </ci>
<apply>
<divide/>
<ci> gamma_ER </ci>
<ci> gamma_S1 </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="CS2" name="CS2">
<variable initial_value="0.023" name="CS2" public_interface="out" units="micromolar"/>
<variable name="lambda_MT_S2" units="dimensionless"/>
<variable name="lambda_ER_S2" units="dimensionless"/>
<variable name="lambda_S1_S2" units="dimensionless"/>
<variable name="JS1S2" public_interface="in" units="flux"/>
<variable name="JMCU" public_interface="in" units="flux"/>
<variable name="JIPR" public_interface="in" units="flux"/>
<variable name="gamma_S1" public_interface="in" units="dimensionless"/>
<variable name="gamma_S2" public_interface="in" units="dimensionless"/>
<variable name="gamma_MT" public_interface="in" units="dimensionless"/>
<variable name="gamma_ER" public_interface="in" units="dimensionless"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> CS2 </ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci> lambda_ER_S2 </ci>
<ci> JIPR </ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci> lambda_S1_S2 </ci>
<ci> JS1S2 </ci>
</apply>
<apply>
<times/>
<ci> lambda_MT_S2 </ci>
<ci> JMCU </ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> lambda_MT_S2 </ci>
<apply>
<divide/>
<ci> gamma_MT </ci>
<ci> gamma_S2 </ci>
</apply>
</apply>
<apply>
<eq/>
<ci> lambda_ER_S2 </ci>
<apply>
<divide/>
<ci> gamma_ER </ci>
<ci> gamma_S2 </ci>
</apply>
</apply>
<apply>
<eq/>
<ci> lambda_S1_S2 </ci>
<apply>
<divide/>
<ci> gamma_S1 </ci>
<ci> gamma_S2 </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="CER" name="CER">
<variable initial_value="203.0" name="CER" public_interface="out" units="micromolar"/>
<variable name="JSERCA" public_interface="in" units="flux"/>
<variable name="JIPR" public_interface="in" units="flux"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> CER </ci>
</apply>
<apply>
<minus/>
<ci> JSERCA </ci>
<ci> JIPR </ci>
</apply>
</apply>
</math>
</component>
<component cmeta:id="CMT" name="CMT">
<variable initial_value="0.220" name="CMT" public_interface="out" units="micromolar"/>
<variable name="fm" units="dimensionless"/>
<variable initial_value="0.01" name="Km" units="micromolar"/>
<variable initial_value="100.0" name="Bm" units="micromolar"/>
<variable name="JMCU" public_interface="in" units="flux"/>
<variable name="JNCX" public_interface="in" units="flux"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> CMT </ci>
</apply>
<apply>
<times/>
<ci> fm </ci>
<apply>
<minus/>
<ci> JMCU </ci>
<ci> JNCX </ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci> fm </ci>
<apply>
<divide/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 1.0 </cn>
<apply>
<plus/>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 1.0 </cn>
<apply>
<divide/>
<apply>
<times/>
<ci> Km </ci>
<ci> Bm </ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci> Km </ci>
<ci> CMT </ci>
</apply>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 2.0 </cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component cmeta:id="NS1" name="NS1">
<variable initial_value="1.01E4" name="NS1" public_interface="out" units="micromolar"/>
<variable name="delta_s" public_interface="in" units="micromolar_coulomb"/>
<variable name="I_iNa" public_interface="in" units="picoampere"/>
<variable name="time" public_interface="in" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci> NS1 </ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<apply>
<divide/>
<ci> delta_s </ci>
<cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless"> 1.0 </cn>
</apply>
</apply>
<ci> I_iNa </ci>
</apply>
</apply>
</math>
</component>
<component name="model_parameters">
<variable initial_value="8.314E-3" name="R" public_interface="out" units="attojoule_per_zeptomole_kelvin"/>
<variable initial_value="0.09649" name="F" public_interface="out" units="femtocoulomb_per_zeptomole"/>
<variable initial_value="310.16" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="1.8E3" name="CO" public_interface="out" units="micromolar"/>
<variable initial_value="1.0" name="P" public_interface="out" units="micromolar"/>
<variable initial_value="26.0" name="delta_s" public_interface="out" units="micromolar_coulomb"/>
<variable initial_value="100.0" name="gamma_S1" public_interface="out" units="dimensionless"/>
<variable initial_value="1.0" name="gamma_S2" public_interface="out" units="dimensionless"/>
<variable initial_value="200.0" name="gamma_MT" public_interface="out" units="dimensionless"/>
<variable initial_value="20.0" name="gamma_ER" public_interface="out" units="dimensionless"/>
<variable initial_value="0.12" name="KNSCC" public_interface="out" units="micromolar"/>
<variable initial_value="0.0" name="ENSCC" public_interface="out" units="millivolt"/>
<variable initial_value="3.0" name="hNSCC" public_interface="out" units="dimensionless"/>
</component>
<connection>
<map_components component_1="membrane" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="CS1" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="CS2" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="CER" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="CMT" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="NS1" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="JIPR" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="CS1"/>
<map_variables variable_1="I_iCa" variable_2="I_iCa"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="NS1"/>
<map_variables variable_1="I_iNa" variable_2="I_iNa"/>
</connection>
<connection>
<map_components component_1="JS1S2" component_2="CS1"/>
<map_variables variable_1="CS1" variable_2="CS1"/>
<map_variables variable_1="JS1S2" variable_2="JS1S2"/>
</connection>
<connection>
<map_components component_1="JSERCA" component_2="CS1"/>
<map_variables variable_1="CS1" variable_2="CS1"/>
<map_variables variable_1="JSERCA" variable_2="JSERCA"/>
</connection>
<connection>
<map_components component_1="JNCX" component_2="CS1"/>
<map_variables variable_1="JNCX" variable_2="JNCX"/>
</connection>
<connection>
<map_components component_1="I_PM" component_2="CS1"/>
<map_variables variable_1="CS1" variable_2="CS1"/>
</connection>
<connection>
<map_components component_1="I_NSCC_Ca" component_2="CS1"/>
<map_variables variable_1="CS1" variable_2="CS1"/>
</connection>
<connection>
<map_components component_1="I_NSCC_Na" component_2="CS1"/>
<map_variables variable_1="CS1" variable_2="CS1"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="CS1"/>
<map_variables variable_1="delta_s" variable_2="delta_s"/>
<map_variables variable_1="gamma_MT" variable_2="gamma_MT"/>
<map_variables variable_1="gamma_S1" variable_2="gamma_S1"/>
<map_variables variable_1="gamma_ER" variable_2="gamma_ER"/>
</connection>
<connection>
<map_components component_1="JS1S2" component_2="CS2"/>
<map_variables variable_1="CS2" variable_2="CS2"/>
<map_variables variable_1="JS1S2" variable_2="JS1S2"/>
</connection>
<connection>
<map_components component_1="JMCU" component_2="CS2"/>
<map_variables variable_1="CS2" variable_2="CS2"/>
<map_variables variable_1="JMCU" variable_2="JMCU"/>
</connection>
<connection>
<map_components component_1="JIPR" component_2="CS2"/>
<map_variables variable_1="CS2" variable_2="CS2"/>
<map_variables variable_1="JIPR" variable_2="JIPR"/>
</connection>
<connection>
<map_components component_1="JIPR" component_2="model_parameters"/>
<map_variables variable_1="P" variable_2="P"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="CS2"/>
<map_variables variable_1="gamma_MT" variable_2="gamma_MT"/>
<map_variables variable_1="gamma_S1" variable_2="gamma_S1"/>
<map_variables variable_1="gamma_S2" variable_2="gamma_S2"/>
<map_variables variable_1="gamma_ER" variable_2="gamma_ER"/>
</connection>
<connection>
<map_components component_1="JSERCA" component_2="CER"/>
<map_variables variable_1="CER" variable_2="CER"/>
<map_variables variable_1="JSERCA" variable_2="JSERCA"/>
</connection>
<connection>
<map_components component_1="JIPR" component_2="CER"/>
<map_variables variable_1="CER" variable_2="CER"/>
<map_variables variable_1="JIPR" variable_2="JIPR"/>
</connection>
<connection>
<map_components component_1="JNCX" component_2="CMT"/>
<map_variables variable_1="CMT" variable_2="CMT"/>
<map_variables variable_1="JNCX" variable_2="JNCX"/>
</connection>
<connection>
<map_components component_1="JMCU" component_2="CMT"/>
<map_variables variable_1="CMT" variable_2="CMT"/>
<map_variables variable_1="JMCU" variable_2="JMCU"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="NS1"/>
<map_variables variable_1="delta_s" variable_2="delta_s"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="I_Ca"/>
<map_variables variable_1="I_Ca" variable_2="I_Ca"/>
<map_variables variable_1="Vm" variable_2="Vm"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="I_PM"/>
<map_variables variable_1="I_PM" variable_2="I_PM"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="I_NSCC_Ca"/>
<map_variables variable_1="I_NSCC_Ca" variable_2="I_NSCC_Ca"/>
<map_variables variable_1="Vm" variable_2="Vm"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="I_NSCC_Ca"/>
<map_variables variable_1="hNSCC" variable_2="hNSCC"/>
<map_variables variable_1="ENSCC" variable_2="ENSCC"/>
<map_variables variable_1="KNSCC" variable_2="KNSCC"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="I_Na"/>
<map_variables variable_1="I_Na" variable_2="I_Na"/>
</connection>
<connection>
<map_components component_1="membrane" component_2="I_NSCC_Na"/>
<map_variables variable_1="I_NSCC_Na" variable_2="I_NSCC_Na"/>
<map_variables variable_1="Vm" variable_2="Vm"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="I_NSCC_Na"/>
<map_variables variable_1="hNSCC" variable_2="hNSCC"/>
<map_variables variable_1="ENSCC" variable_2="ENSCC"/>
<map_variables variable_1="KNSCC" variable_2="KNSCC"/>
</connection>
<connection>
<map_components component_1="I_Ca" component_2="CS1"/>
<map_variables variable_1="CS1" variable_2="CS1"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="I_Ca"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="CO" variable_2="CO"/>
</connection>
<connection>
<map_components component_1="I_Na" component_2="NS1"/>
<map_variables variable_1="NS1" variable_2="NS1"/>
</connection>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#"><rdf:Description rdf:about="rdf:#09cdf563-efd0-4d3b-adac-24dbed3e3309"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2008-03-25T15:39:55+13:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#91f08c4e-6906-4b11-b3ff-8997c6ecab5a"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Catherine</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">May</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Lloyd</Family></rdf:Description><rdf:Description rdf:about="#I_NSCC_Ca"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">I_NSCC_Ca</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">non-selective calcium conductance</alternative></rdf:Description><rdf:Description rdf:about="#JNCX"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JNCX</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">mitochondrial Na+/Ca2+ exchanger</alternative></rdf:Description><rdf:Description rdf:about="rdf:#270b47a0-7590-453d-927e-612f618128c0"><rdf:type><rdf:Description rdf:about="http://imc.org/vCard/3.0#internet"/></rdf:type><rdf:value xml:lang="en">c.lloyd@auckland.ac.nz</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#43824707-6db1-4a31-959c-8f8a7f706c03"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Seq"/></rdf:type><rdf:_1><rdf:Description rdf:about="rdf:#e48019c1-f1b1-4109-838d-f11cfa7c65ac"/></rdf:_1><rdf:_2><rdf:Description rdf:about="rdf:#7f3e6535-26c1-4ef6-b28c-03fdac4b8350"/></rdf:_2><rdf:_3><rdf:Description rdf:about="rdf:#8c7a23ad-2fa1-4dab-831f-84e5b7353b91"/></rdf:_3><rdf:_4><rdf:Description rdf:about="rdf:#ba2fde7a-4d27-4cee-baa3-8b799a87a085"/></rdf:_4></rdf:Description><rdf:Description rdf:about="rdf:#ba2fde7a-4d27-4cee-baa3-8b799a87a085"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#8095ee54-314e-41d7-8a5d-42a0d393c3ab"/></N></rdf:Description><rdf:Description rdf:about="rdf:#ab9a7c9b-b12e-48ec-9083-4f5eb90d8742"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">K</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">M</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Sanders</Family></rdf:Description><rdf:Description rdf:about="rdf:#50770a7f-ecb3-44be-baa2-4ea402f8883b"><rdf:value xml:lang="en">Fixed a couple of typos - the equation for JNCX and the initial value for delta_s.</rdf:value><modified xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#09cdf563-efd0-4d3b-adac-24dbed3e3309"/></modified><cmeta:modifier><rdf:Description rdf:about="rdf:#bad7c7f9-d68e-45f4-9e5b-be10112a51ff"/></cmeta:modifier></rdf:Description><rdf:Description rdf:about="#I_Ca"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">I_Ca</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">calcium current</alternative></rdf:Description><rdf:Description rdf:about="rdf:#d842fbed-147b-4366-a482-a6aa42a1cdcf"><Orgunit xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Auckland Bioengineering Institute</Orgunit><Orgname xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">The University of Auckland</Orgname></rdf:Description><rdf:Description rdf:about="rdf:#7f3e6535-26c1-4ef6-b28c-03fdac4b8350"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#71a48a5b-f0f8-4fb8-bed9-94de6d029e14"/></N></rdf:Description><rdf:Description rdf:about="#I_PM"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">I_PM</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">plasma membrane Ca2+-ATPase current</alternative></rdf:Description><rdf:Description rdf:about="rdf:#e48019c1-f1b1-4109-838d-f11cfa7c65ac"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#e1297891-c93a-4136-8709-754e593a839d"/></N></rdf:Description><rdf:Description rdf:about="#JIPR"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JIPR</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">IP3R Ca2+ flux</alternative></rdf:Description><rdf:Description rdf:about="rdf:#d4585c4f-1265-47e7-b621-7f8edde2c43c"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2008-03-00 00:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#2afbf6f4-0d98-4a80-a773-f773ebd89e65"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Catherine Lloyd</FN></rdf:Description><rdf:Description rdf:about="rdf:#8d78f3e4-6347-49d0-9ec8-f1e83b8df8f1"><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#f8cd31be-0049-4dc9-a617-c7afd5b38b74"/></creator><rdf:value xml:lang="en">This CellML model is known to run in both COR and PCEnv to replicate the published results. The units have been checked and are consistent. We'd like to acknowledge Richard Faville for his help in getting the CellML model to replicate his published model.</rdf:value></rdf:Description><rdf:Description rdf:about="rdf:#205b461d-c0bf-4e2a-b39f-6a2ade7420c4"><subject xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#1789b125-0ff9-4839-a904-f792619fad80"/></subject></rdf:Description><rdf:Description rdf:about="rdf:#1789b125-0ff9-4839-a904-f792619fad80"><subject_type xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">keyword</subject_type><rdf:value><rdf:Description rdf:about="rdf:#6f8c2164-33d7-4d7b-926a-73f442a343fd"/></rdf:value></rdf:Description><rdf:Description rdf:about="#CS1"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">CS1</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">calcium concentration in cytoplasmic subspace 1</alternative></rdf:Description><rdf:Description rdf:about="rdf:#2730ad71-0f7c-4a99-be3a-5e3c1955e479"><ORG xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#d842fbed-147b-4366-a482-a6aa42a1cdcf"/></ORG><EMAIL xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#270b47a0-7590-453d-927e-612f618128c0"/></EMAIL><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#e01a3135-75a1-4a3d-b572-ac93b48755ef"/></N></rdf:Description><rdf:Description rdf:about="#faville_model_2008"><cmeta:comment><rdf:Description rdf:about="rdf:#20519a31-5033-4ba7-a75a-881bf2656481"/></cmeta:comment><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#3f482cf6-ab09-45be-b15f-c82856ed86b8"/></reference><reference xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#205b461d-c0bf-4e2a-b39f-6a2ade7420c4"/></reference><simulation xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:nodeID="n1"/></simulation><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">
Richard Faville et al.'s 2008 biophysically based mathematical model of unitary potential activity in interstitial cells of Cajal.
</title></rdf:Description><rdf:Description rdf:about="rdf:#db67c078-0ec2-4175-abcd-5fd51742c68c"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">A Biophysically Based Mathematical Model of Unitary Potential Activity in Interstitial Cells of Cajal</title><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#43824707-6db1-4a31-959c-8f8a7f706c03"/></creator><volume xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en"></volume><Journal xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#e2017bbc-b477-4894-afc9-7ca4851d9841"/></Journal><first_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en"></first_page><issued xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#d4585c4f-1265-47e7-b621-7f8edde2c43c"/></issued><last_page xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en"></last_page></rdf:Description><rdf:Description rdf:about="#CS2"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">CS2</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">calcium concentration in cytoplasmic subspace 2</alternative></rdf:Description><rdf:Description rdf:about="rdf:#71a48a5b-f0f8-4fb8-bed9-94de6d029e14"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">A</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">J</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Pullan</Family></rdf:Description><rdf:Description rdf:about="rdf:#3f482cf6-ab09-45be-b15f-c82856ed86b8"><Pubmed_id xmlns="http://www.cellml.org/bqs/1.0#" xml:lang="en">18339738</Pubmed_id><JournalArticle xmlns="http://www.cellml.org/bqs/1.0#"><rdf:Description rdf:about="rdf:#db67c078-0ec2-4175-abcd-5fd51742c68c"/></JournalArticle></rdf:Description><rdf:Description rdf:about="rdf:#e2017bbc-b477-4894-afc9-7ca4851d9841"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">Biophysical Journal</title></rdf:Description><rdf:Description rdf:about="rdf:#20519a31-5033-4ba7-a75a-881bf2656481"><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#2afbf6f4-0d98-4a80-a773-f773ebd89e65"/></creator><rdf:value xml:lang="en">This is a CellML description of Richard Faville et al.'s 2008 biophysically based mathematical model of unitary potential activity in interstitial cells of Cajal.</rdf:value></rdf:Description><rdf:Description rdf:about="#CMT"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">CMT</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">calcium concentration in the mitochondria</alternative></rdf:Description><rdf:Description rdf:about="#I_Na"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">I_Na</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">sodium current</alternative></rdf:Description><rdf:Description rdf:nodeID="n1"><boundIntervals xmlns="http://www.cellml.org/metadata/simulation/1.0#"><rdf:Description rdf:nodeID="n2"/></boundIntervals></rdf:Description><rdf:Description rdf:about="rdf:#bad7c7f9-d68e-45f4-9e5b-be10112a51ff"><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#91f08c4e-6906-4b11-b3ff-8997c6ecab5a"/></N></rdf:Description><rdf:Description rdf:about=""><cmeta:comment><rdf:Description rdf:about="rdf:#8d78f3e4-6347-49d0-9ec8-f1e83b8df8f1"/></cmeta:comment><created xmlns="http://purl.org/dc/terms/"><rdf:Description rdf:about="rdf:#ba5078b5-29d3-4673-bbff-90e0c6d104fd"/></created><publisher xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">The University of Auckland, Auckland Bioengineering Institute</publisher><cmeta:modification><rdf:Description rdf:about="rdf:#50770a7f-ecb3-44be-baa2-4ea402f8883b"/></cmeta:modification><creator xmlns="http://purl.org/dc/elements/1.1/"><rdf:Description rdf:about="rdf:#2730ad71-0f7c-4a99-be3a-5e3c1955e479"/></creator></rdf:Description><rdf:Description rdf:about="rdf:#ba5078b5-29d3-4673-bbff-90e0c6d104fd"><W3CDTF xmlns="http://purl.org/dc/terms/" xml:lang="en">2008-03-20T00:00:00+00:00</W3CDTF></rdf:Description><rdf:Description rdf:about="rdf:#e1297891-c93a-4136-8709-754e593a839d"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">R</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">A</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Faville</Family></rdf:Description><rdf:Description rdf:about="rdf:#e01a3135-75a1-4a3d-b572-ac93b48755ef"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Catherine</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">May</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Lloyd</Family></rdf:Description><rdf:Description rdf:about="#JSERCA"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JSERCA</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">SERCA pump</alternative></rdf:Description><rdf:Description rdf:about="#JMCU"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JMCU</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">mitochondrial Ca2+ uniporter</alternative></rdf:Description><rdf:Description rdf:about="#NS1"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">NS1</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">sodium concentration in cytoplasmic subspace 1</alternative></rdf:Description><rdf:Description rdf:about="#JS1S2"><title xmlns="http://purl.org/dc/elements/1.1/" xml:lang="en">JS1S2</title><alternative xmlns="http://purl.org/dc/terms/" xml:lang="en">inter-subspace Ca2+ flux</alternative></rdf:Description><rdf:Description rdf:about="rdf:#6f8c2164-33d7-4d7b-926a-73f442a343fd"><rdf:type><rdf:Description rdf:about="http://www.w3.org/1999/02/22-rdf-syntax-ns#Bag"/></rdf:type><rdf:_1 xml:lang="en">electrophysiology</rdf:_1><rdf:_2 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conductance</alternative></rdf:Description><rdf:Description rdf:about="rdf:#f8cd31be-0049-4dc9-a617-c7afd5b38b74"><FN xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Catherine Lloyd</FN></rdf:Description><rdf:Description rdf:about="rdf:#8095ee54-314e-41d7-8a5d-42a0d393c3ab"><Given xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">N</Given><Other xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">P</Other><Family xmlns="http://www.w3.org/2001/vcard-rdf/3.0#" xml:lang="en">Smith</Family></rdf:Description><rdf:Description rdf:about="rdf:#8c7a23ad-2fa1-4dab-831f-84e5b7353b91"><rdf:type><rdf:Description rdf:about="http://www.cellml.org/bqs/1.0#Person"/></rdf:type><N xmlns="http://www.w3.org/2001/vcard-rdf/3.0#"><rdf:Description rdf:about="rdf:#ab9a7c9b-b12e-48ec-9083-4f5eb90d8742"/></N></rdf:Description><rdf:Description rdf:nodeID="n2"><rdf:first><rdf:Description rdf:nodeID="n3"/></rdf:first><rdf:rest><rdf:Description 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