Location: SLC transporters @ ca447f870d3b / Electrogenic cotransporter / CellMLV2 / params_BG_0.cellml

Author:
Weiwei Ai <wai484@aucklanduni.ac.nz>
Date:
2024-04-19 17:04:11+12:00
Desc:
Add bond graph models for ref 2005 fig 3B
Permanent Source URI:
http://models.cellml.org/workspace/b65/rawfile/ca447f870d3be12963a885d5acd8da79af2a683d/Electrogenic cotransporter/CellMLV2/params_BG_0.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="params_BG">
  <import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="./units.cellml">
    <units units_ref="per_fmol" name="per_fmol"/>
    <units units_ref="C_per_mol" name="C_per_mol"/>
    <units units_ref="fmol_per_s" name="fmol_per_s"/>
    <units units_ref="fmol" name="fmol"/>
    <units units_ref="J_per_K_mol" name="J_per_K_mol"/>
    <units units_ref="mM" name="mM"/>
    <units units_ref="pL" name="pL"/>
    <units units_ref="fA" name="fA"/>
  </import>
  <component name="params_BG">
    <variable name="R" units="J_per_K_mol" initial_value="8.31" interface="public"/>
    <variable name="T" units="kelvin" initial_value="293" interface="public"/>
    <variable name="F" units="C_per_mol" initial_value="96485" interface="public"/>
    <variable name="K_Nai" units="per_fmol" initial_value="3.216e-08" interface="public"/>
    <variable name="q_Nai" units="fmol" interface="public"/>
    <variable name="K_Nao" units="per_fmol" initial_value="3.216e-08" interface="public"/>
    <variable name="q_Nao" units="fmol" interface="public"/>
    <variable name="K_Glci" units="per_fmol" initial_value="4.848e-06" interface="public"/>
    <variable name="q_Glci" units="fmol" interface="public"/>
    <variable name="K_Glco" units="per_fmol" initial_value="4.848e-06" interface="public"/>
    <variable name="q_Glco" units="fmol" interface="public"/>
    <variable name="K_1" units="per_fmol" initial_value="2.235" interface="public"/>
    <variable name="q_init_1" units="fmol" initial_value="16.605778811026234" interface="public"/>
    <variable name="K_2" units="per_fmol" initial_value="10.437" interface="public"/>
    <variable name="q_init_2" units="fmol" initial_value="16.605778811026234" interface="public"/>
    <variable name="K_3" units="per_fmol" initial_value="8.602" interface="public"/>
    <variable name="q_init_3" units="fmol" initial_value="16.605778811026234" interface="public"/>
    <variable name="K_4" units="per_fmol" initial_value="8.602" interface="public"/>
    <variable name="q_init_4" units="fmol" initial_value="16.605778811026234" interface="public"/>
    <variable name="K_5" units="per_fmol" initial_value="28.628" interface="public"/>
    <variable name="q_init_5" units="fmol" initial_value="16.605778811026234" interface="public"/>
    <variable name="K_6" units="per_fmol" initial_value="0.192" interface="public"/>
    <variable name="q_init_6" units="fmol" initial_value="16.605778811026234" interface="public"/>
    <variable name="V0_Vm" units="volt" interface="public"/>
    <variable name="z_z1" units="dimensionless" initial_value="0.6" interface="public"/>
    <variable name="z_z2" units="dimensionless" initial_value="1.4" interface="public"/>
    <variable name="kappa_r1" units="fmol_per_s" initial_value="47.905" interface="public"/>
    <variable name="kappa_r2" units="fmol_per_s" initial_value="2.325" interface="public"/>
    <variable name="kappa_r3" units="fmol_per_s" initial_value="5.812" interface="public"/>
    <variable name="kappa_r4" units="fmol_per_s" initial_value="92.998" interface="public"/>
    <variable name="kappa_r5" units="fmol_per_s" initial_value="0.349" interface="public"/>
    <variable name="kappa_r6" units="fmol_per_s" initial_value="15.661" interface="public"/>
    <variable name="kappa_r7" units="fmol_per_s" initial_value="0.029" interface="public"/>
    <variable name="Nai" units="mM" initial_value="20"/>
    <variable name="Nao" units="mM" initial_value="100"/>
    <variable name="Glci" units="mM" initial_value="10e-3"/>
    <variable name="Glco" units="mM" initial_value="1e-9"/>
    <variable name="V_i" units="pL" initial_value="8.5e5"/>
    <variable name="V_o" units="pL" initial_value="8.5e5"/>
    <variable name="t" units="second" interface="public"/>
    <variable name="Er" units="volt" initial_value="-0.065"/>
    <variable name="Rm" units="ohm" initial_value="1.2e6"/>
    <variable name="Im" units="fA" interface="public"/>
    <variable name="test_volt" units="volt" initial_value="0.05"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
      <apply>
        <eq/>
        <ci>Im</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <apply>
              <divide/>
              <apply>
                <minus/>
                <ci>V0_Vm</ci>
                <ci>Er</ci>
              </apply>
              <ci>Rm</ci>
            </apply>
            <cn type="e-notation" cellml:units="fA">10<sep/>15</cn>
          </apply>
          <cn cellml:units="ampere">1</cn>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>q_Nai</ci>
        <apply>
          <times/>
          <ci>Nai</ci>
          <ci>V_i</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>q_Nao</ci>
        <apply>
          <times/>
          <ci>Nao</ci>
          <ci>V_o</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>q_Glci</ci>
        <apply>
          <times/>
          <ci>Glci</ci>
          <ci>V_i</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>q_Glco</ci>
        <apply>
          <times/>
          <ci>Glco</ci>
          <ci>V_o</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>V0_Vm</ci>
        <piecewise>
          <piece>
            <apply>
              <minus/>
              <cn cellml:units="volt">0.05</cn>
            </apply>
            <apply>
              <lt/>
              <ci>t</ci>
              <cn type="e-notation" cellml:units="second">204.75<sep/>-3</cn>
            </apply>
          </piece>
          <piece>
            <ci>test_volt</ci>
            <apply>
              <lt/>
              <ci>t</ci>
              <cn type="e-notation" cellml:units="second">284.75<sep/>-3</cn>
            </apply>
          </piece>
          <otherwise>
            <apply>
              <minus/>
              <cn cellml:units="volt">0.05</cn>
            </apply>
          </otherwise>
        </piecewise>
      </apply>
    </math>
  </component>
</model>