Location: Ikeda BMadonna QKDB @ 1eff179c9d03 / cellml / ExtracellularSpace.cellml

Author:
Ting Yu <ting.yu@auckland.ac.nz>
Date:
2014-03-10 16:13:22+13:00
Desc:
Add Extracellular component for Ikeda model.
Permanent Source URI:
https://models.cellml.org/workspace/194/rawfile/1eff179c9d037604e54f0826d8eb3e9b12b4033b/cellml/ExtracellularSpace.cellml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="ExtracellularSpace">
  
<component name="ExtracellularSpace"><math xmlns="http://www.w3.org/1998/Math/MathML"><apply id="1"><eq/><ci>QLF0</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.002</cn></apply><apply id="2"><eq/><ci>VIF0</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">8.800000000000001</cn></apply><apply id="3"><eq/><ci>CFC</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.007</cn></apply><apply id="4"><eq/><ci>VRBC</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1.8</cn></apply><apply id="5"><eq/><ci>VB</ci><apply><plus/><ci>VRBC</ci><ci>VP</ci></apply></apply><apply id="6"><eq/><ci>HT</ci><apply><divide/><ci>VRBC</ci><ci>VB</ci></apply></apply><apply id="7"><eq/><ci>VEC</ci><apply><plus/><ci>VP</ci><ci>VIF</ci></apply></apply><apply id="8"><eq/><apply><diff/><bvar><ci>t</ci></bvar><ci>VIN</ci></apply><apply><minus/><ci>QIN</ci><apply><divide/><ci>VIN</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">10</cn></apply></apply></apply><apply id="9"><eq/><apply><diff/><bvar><ci>t</ci></bvar><ci>VIF</ci></apply><apply><minus/><apply><minus/><ci>QCFR</ci><ci>QLF</ci></apply><ci>QIC</ci></apply></apply><apply id="10"><eq/><ci>PC</ci><apply><divide/><apply><plus/><apply><times/><ci>CRAV</ci><ci>PVS</ci></apply><ci>PAS</ci></apply><apply><plus/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn><ci>CRAV</ci></apply></apply></apply><apply id="11"><eq/><ci>CRAV</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">5.93</cn></apply><apply id="12"><eq/><apply><diff/><bvar><ci>t</ci></bvar><ci>ZPP</ci></apply><apply><minus/><apply><minus/><apply><minus/><ci>YPLF</ci><ci>YPLG</ci></apply><ci>YPLV</ci></apply><ci>YPLC</ci></apply></apply><apply id="13"><eq/><ci>XPP</ci><apply><divide/><ci>ZPP</ci><ci>VP</ci></apply></apply><apply id="14"><eq/><ci>YPLC</ci><apply><times/><ci>QPLC</ci><apply><minus/><ci>XPP</ci><ci>XPIF</ci></apply></apply></apply><apply id="15"><eq/><ci>XPIF</ci><apply><divide/><ci>ZPIF</ci><ci>VIF</ci></apply></apply><apply id="16"><eq/><apply><diff/><bvar><ci>t</ci></bvar><ci>ZPIF</ci></apply><apply><minus/><apply><minus/><ci>YPLC</ci><ci>YPG</ci></apply><ci>YPLF</ci></apply></apply><apply id="17"><eq/><ci>YPLF</ci><apply><times/><ci>XPIF</ci><ci>QLF</ci></apply></apply><apply id="18"><eq/><ci>YPLV</ci><apply><minus/><apply><times/><ci>XPP</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.00047</cn></apply><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.0329</cn></apply></apply><apply id="19"><eq/><ci>YPLG</ci><apply><times/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.00023</cn><apply><minus/><ci>XPP</ci><ci>ZPLG</ci></apply></apply></apply><apply id="20"><eq/><apply><diff/><bvar><ci>t</ci></bvar><ci>ZPLG</ci></apply><apply><divide/><apply><minus/><ci>XPP</ci><ci>ZPLG</ci></apply><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">24</cn></apply></apply><apply id="21"><eq/><ci>YPG</ci><apply><times/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.0057</cn><apply><minus/><ci>XPIF</ci><ci>ZPG</ci></apply></apply></apply><apply id="22"><eq/><apply><diff/><bvar><ci>t</ci></bvar><ci>ZPG</ci></apply><apply><divide/><apply><minus/><ci>XPIF</ci><ci>ZPG</ci></apply><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">150</cn></apply></apply><apply id="23"><eq/><ci>VP_plus</ci><apply><plus/><apply><divide/><ci>VIN</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">10</cn></apply><ci>QVIN</ci><ci>QMWP</ci><ci>QLF</ci></apply></apply><apply id="24"><eq/><ci>VP_moins</ci><apply><plus/><ci>QIWL</ci><ci>QWU</ci><ci>QCFR</ci></apply></apply><apply id="25"><eq/><apply><diff/><bvar><ci>t</ci></bvar><ci>VP</ci></apply><apply><minus/><ci>VP_plus</ci><ci>VP_moins</ci></apply></apply><apply id="26"><eq/><ci>QCFR</ci><apply><times/><ci>CFC</ci><ci>Pf</ci></apply></apply><apply id="27"><eq/><ci>Pf</ci><apply><plus/><apply><minus/><apply><minus/><ci>PC</ci><ci>PPCO</ci></apply><ci>PIF</ci></apply><ci>PICO</ci></apply></apply><apply id="28"><eq/><ci>x</ci><apply><divide/><ci>VIF</ci><ci>VIF0</ci></apply></apply><apply id="29"><eq/><ci>PIF</ci><piecewise><piece><apply><minus/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">15</cn></apply><apply><leq/><ci>x</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.9</cn></apply></piece><piece><apply><minus/><apply><times/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">87</cn><ci>x</ci></apply><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">93.299999999999997</cn></apply><apply><and/><apply><gt/><ci>x</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.9</cn></apply><apply><leq/><ci>x</ci><apply><minus/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn></apply></apply></apply></piece><piece><apply><times/><apply><minus/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">6.3</cn></apply><apply><power/><apply><minus/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn><ci>x</ci></apply><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">10</cn></apply></apply><apply><and/><apply><gt/><ci>x</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn></apply><apply><leq/><ci>x</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn></apply></apply></piece><otherwise><apply><minus/><ci>x</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn></apply></otherwise></piecewise></apply><apply id="30"><eq/><ci>QLF</ci><apply><times/><ci>QLF0</ci><apply><divide/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">24</cn><apply><plus/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn><apply><exp/><apply><times/><apply><minus/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.4977</cn></apply><ci>PIF</ci></apply></apply></apply></apply></apply></apply><apply id="31"><eq/><ci>QPLC</ci><apply><times/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2.768</cn><apply><power/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">10</cn><apply><minus/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">6</cn></apply></apply><apply><power/><ci>PC</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn></apply></apply></apply><apply id="32"><eq/><ci>PPCO</ci><apply><times/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.4</cn><ci>XPP</ci></apply></apply><apply id="33"><eq/><ci>PICO</ci><apply><times/><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.25</cn><ci>XPIF</ci></apply></apply></math><variable name="QLF0" units="dimensionless"/><variable name="VIF0" units="dimensionless"/><variable name="CFC" units="dimensionless"/><variable name="VRBC" units="dimensionless"/><variable name="t" units="dimensionless"/><variable initial_value="0.01" name="VIN" units="dimensionless"/><variable initial_value="0.001" name="QIN" units="dimensionless"/><variable name="VB" public_interface="out" units="dimensionless"/><variable initial_value="2.2" name="VP" units="dimensionless"/><variable name="HT" units="dimensionless"/><variable name="VEC" public_interface="out" units="dimensionless"/><variable initial_value="VIF0" name="VIF" units="dimensionless"/><variable name="QCFR" units="dimensionless"/><variable name="QLF" units="dimensionless"/><variable name="QIC" public_interface="in" units="dimensionless"/><variable name="PC" units="dimensionless"/><variable name="CRAV" units="dimensionless"/><variable name="PVS" public_interface="in" units="dimensionless"/><variable name="PAS" public_interface="in" units="dimensionless"/><variable initial_value="154" name="ZPP" units="dimensionless"/><variable name="YPLF" units="dimensionless"/><variable name="YPLG" units="dimensionless"/><variable name="YPLV" units="dimensionless"/><variable name="YPLC" units="dimensionless"/><variable name="XPP" public_interface="out" units="dimensionless"/><variable name="QPLC" units="dimensionless"/><variable name="XPIF" units="dimensionless"/><variable initial_value="176" name="ZPIF" units="dimensionless"/><variable name="YPG" units="dimensionless"/><variable initial_value="70" name="ZPLG" units="dimensionless"/><variable initial_value="20" name="ZPG" units="dimensionless"/><variable name="VP_plus" units="dimensionless"/><variable name="VP_moins" units="dimensionless"/><variable name="QIWL" public_interface="in" units="dimensionless"/><variable name="QWU" public_interface="in" units="dimensionless"/><variable name="Pf" units="dimensionless"/><variable name="PPCO" public_interface="out" units="dimensionless"/><variable name="PIF" units="dimensionless"/><variable name="PICO" units="dimensionless"/><variable name="x" units="dimensionless"/><variable name="QVIN" public_interface="in" units="dimensionless"/><variable name="QMWP" public_interface="in" units="dimensionless"/></component><component name="InputsDummies"><variable name="QIC" public_interface="out" units="dimensionless"/><math xmlns="http://www.w3.org/1998/Math/MathML"><apply id="34"><eq/><ci>QIC</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">2</cn></apply><apply id="35"><eq/><ci>PVS</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0</cn></apply><apply id="36"><eq/><ci>PAS</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">20</cn></apply><apply id="37"><eq/><ci>QWU</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.9</cn></apply><apply id="38"><eq/><ci>QVIN</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0</cn></apply><apply id="39"><eq/><ci>QMWP</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.0005</cn></apply><apply id="40"><eq/><ci>QIWL</ci><cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">0.0005</cn></apply></math><variable name="PVS" public_interface="out" units="dimensionless"/><variable name="PAS" public_interface="out" units="dimensionless"/><variable name="QWU" public_interface="out" units="dimensionless"/><variable name="QVIN" public_interface="out" units="dimensionless"/><variable name="QMWP" public_interface="out" units="dimensionless"/><variable name="QIWL" public_interface="out" units="dimensionless"/></component><connection><map_components component_1="ExtracellularSpace" component_2="InputsDummies"/><map_variables variable_1="QIC" variable_2="QIC"/><map_variables variable_1="PVS" variable_2="PVS"/><map_variables variable_1="PAS" variable_2="PAS"/><map_variables variable_1="QWU" variable_2="QWU"/><map_variables variable_1="QVIN" variable_2="QVIN"/><map_variables variable_1="QMWP" variable_2="QMWP"/><map_variables variable_1="QIWL" variable_2="QIWL"/></connection></model>