Location: Eskandari, Wright, Loo 2005 @ 994daa333fbd / decomposed-model / parameters_model.xml

Author:
David Nickerson <nickerso@users.sourceforge.net>
Date:
2010-04-21 17:39:17+12:00
Desc:
adding a base experiment model which leaves only the relevant variables exposed and an instantiation of that base model into the simulations required to reproduce figure 3 from the Eskandari et al (2005) original article
Permanent Source URI:
https://models.physiomeproject.org/workspace/eskandari_wright_loo_2005/rawfile/994daa333fbd2ad7017eb7b27cb8c615eb18ce20/decomposed-model/parameters_model.xml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="parameters_model">
  <component name="parameters">
    <variable name="k0_12" private_interface="out" public_interface="in" units="per_M2_per_second"/>
    <variable name="k0_21" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_23" private_interface="out" public_interface="in" units="per_M_per_second"/>
    <variable name="k0_32" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_34" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_43" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_45" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_54" private_interface="out" public_interface="in" units="per_M_per_second"/>
    <variable name="k0_25" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_52" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_56" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_65_f" private_interface="out" public_interface="in" units="per_M2_per_second"/>
    <variable name="k0_61_f" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_16_f" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_65_r" private_interface="out" public_interface="in" units="per_M2_per_second"/>
    <variable name="k0_61_r" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_16_r" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k0_65" private_interface="out" public_interface="out" units="per_M2_per_second"/>
    <variable name="k0_61" private_interface="out" public_interface="out" units="per_second"/>
    <variable name="k0_16" private_interface="out" public_interface="out" units="per_second"/>
    <variable name="delta" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="alpha_p" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="alpha_pp" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="N_C" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="N_Avo" private_interface="out" public_interface="in" units="per_mol"/>
    <variable name="area" private_interface="out" public_interface="in" units="um2"/>
    <variable name="C_T" private_interface="out" public_interface="out" units="umol"/>
    <variable name="n" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="z_c" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="z_Na" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="F" private_interface="out" public_interface="in" units="C_per_mol"/>
    <variable name="R" private_interface="out" public_interface="in" units="J_per_K_per_mol"/>
    <variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
    <variable name="V" private_interface="out" public_interface="in" units="volt"/>
    <variable name="mu" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="Na_o" private_interface="out" public_interface="in" units="M"/>
    <variable name="V_dot" private_interface="out" public_interface="in" units="volt_per_second"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>k0_65</ci>
            <piecewise>
               <piece>
                  <ci>k0_65_r</ci>
                  <apply>
                     <lt/>
                     <ci>Na_o</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" type="e-notation" cellml:units="M">100   <sep/>
                     -3</cn>
                  </apply>
               </piece>
               <otherwise>
                  <ci>k0_65_f</ci>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>k0_61</ci>
            <piecewise>
               <piece>
                  <ci>k0_61_r</ci>
                  <apply>
                     <lt/>
                     <ci>Na_o</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" type="e-notation" cellml:units="M">100   <sep/>
                     -3</cn>
                  </apply>
               </piece>
               <otherwise>
                  <ci>k0_61_f</ci>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>k0_16</ci>
            <piecewise>
               <piece>
                  <ci>k0_16_r</ci>
                  <apply>
                     <lt/>
                     <ci>Na_o</ci>
                     <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" type="e-notation" cellml:units="M">100   <sep/>
                     -3</cn>
                  </apply>
               </piece>
               <otherwise>
                  <ci>k0_16_f</ci>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_p</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" cellml:units="dimensionless">1</cn>
                  <ci>delta</ci>
               </apply>
               <ci>alpha_pp</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>C_T</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <cn xmlns:cellml="http://www.cellml.org/cellml/1.1#" type="e-notation" cellml:units="umol_per_mol">1   <sep/>
                  6</cn>
                  <ci>N_C</ci>
               </apply>
               <ci>N_Avo</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>F</ci>
                  <ci>V</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
               </apply>
            </apply>
         </apply>
      </math>
  </component>
  <import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="eskandari_2005_units_model.xml">
    <units name="per_second" units_ref="per_second"/>
    <units name="per_second5" units_ref="per_second5"/>
    <units name="volt_per_second" units_ref="volt_per_second"/>
    <units name="per_mol" units_ref="per_mol"/>
    <units name="umol" units_ref="umol"/>
    <units name="M" units_ref="M"/>
    <units name="um2" units_ref="um2"/>
    <units name="mol_per_um2" units_ref="mol_per_um2"/>
    <units name="mM" units_ref="mM"/>
    <units name="mV" units_ref="mV"/>
    <units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
    <units name="pA_per_cm2" units_ref="pA_per_cm2"/>
    <units name="uA" units_ref="uA"/>
    <units name="uA_per_um2" units_ref="uA_per_um2"/>
    <units name="uA_per_A" units_ref="uA_per_A"/>
    <units name="umol_per_mol" units_ref="umol_per_mol"/>
    <units name="C_per_mol" units_ref="C_per_mol"/>
    <units name="per_M_per_second" units_ref="per_M_per_second"/>
    <units name="per_M2_per_second" units_ref="per_M2_per_second"/>
    <units name="M2" units_ref="M2"/>
    <units name="M3" units_ref="M3"/>
    <units name="M3_per_second" units_ref="M3_per_second"/>
    <units name="per_M3_per_second5" units_ref="per_M3_per_second5"/>
    <units name="M_per_second" units_ref="M_per_second"/>
  </import>
</model>