Location: cellLib2 @ c2e53754cadf / testLibcellml / SLCT3V_BG.cellml

Author:
WeiweiAi <wai484@aucklanduni.ac.nz>
Date:
2023-05-17 19:51:13+12:00
Desc:
add models to reproduce the units issues
Permanent Source URI:
https://models.physiomeproject.org/workspace/aec/rawfile/c2e53754cadfb9920d63f56dc970fe221f67ed35/testLibcellml/SLCT3V_BG.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="SLCT3V_BG">
  <units name="fmol_per_sec">
    <unit units="fmol"/>
    <unit exponent="-1" units="second"/>
  </units>
  <units name="fF">
    <unit prefix="femto" units="farad"/>
  </units>
  <units name="fC">
    <unit prefix="femto" units="coulomb"/>
  </units>
  <units name="per_sec">
    <unit exponent="-1" units="second"/>
  </units>
  <units name="C_per_mol">
    <unit units="coulomb"/>
    <unit exponent="-1" units="mole"/>
  </units>
  <units name="J_per_K_per_mol">
    <unit units="joule"/>
    <unit exponent="-1" units="kelvin"/>
    <unit exponent="-1" units="mole"/>
  </units>
  <units name="per_fmol">
    <unit exponent="-1" units="fmol"/>
  </units>
  <units name="fA">
    <unit prefix="femto" units="ampere"/>
  </units>
  <units name="J_per_mol">
    <unit units="joule"/>
    <unit exponent="-1" units="mole"/>
  </units>
  <units name="fmol">
    <unit prefix="femto" units="mole"/>
  </units>
  <component name="SLCT3V_BG">
    <variable name="t" units="second"/>
    <variable name="K_Ai" units="per_fmol" interface="public"/>
    <variable name="v_Ai" units="fmol_per_sec" interface="public"/>
    <variable name="q_Ai" units="fmol" interface="public"/>
    <variable name="mu_Ai" units="J_per_mol" interface="public"/>
    <variable name="K_Ao" units="per_fmol" interface="public"/>
    <variable name="v_Ao" units="fmol_per_sec" interface="public"/>
    <variable name="q_Ao" units="fmol" interface="public"/>
    <variable name="mu_Ao" units="J_per_mol" interface="public"/>
    <variable name="K_3" units="per_fmol" interface="public"/>
    <variable name="v_3" units="fmol_per_sec"/>
    <variable name="q_3_init" units="fmol" interface="public"/>
    <variable name="q_3" units="fmol" initial_value="q_3_init"/>
    <variable name="mu_3" units="J_per_mol"/>
    <variable name="K_4" units="per_fmol" interface="public"/>
    <variable name="v_4" units="fmol_per_sec"/>
    <variable name="q_4_init" units="fmol" interface="public"/>
    <variable name="q_4" units="fmol" initial_value="q_4_init"/>
    <variable name="mu_4" units="J_per_mol"/>
    <variable name="K_5" units="per_fmol" interface="public"/>
    <variable name="v_5" units="fmol_per_sec"/>
    <variable name="q_5_init" units="fmol" interface="public"/>
    <variable name="q_5" units="fmol" initial_value="q_5_init"/>
    <variable name="mu_5" units="J_per_mol"/>
    <variable name="K_6" units="per_fmol" interface="public"/>
    <variable name="v_6" units="fmol_per_sec"/>
    <variable name="q_6_init" units="fmol" interface="public"/>
    <variable name="q_6" units="fmol" initial_value="q_6_init"/>
    <variable name="mu_6" units="J_per_mol"/>
    <variable name="C_m" units="fF" interface="public"/>
    <variable name="I_m" units="fA" interface="public"/>
    <variable name="q_m" units="fC" interface="public"/>
    <variable name="V_m" units="volt" interface="public"/>
    <variable name="kappa_r1" units="fmol_per_sec" interface="public"/>
    <variable name="v_r1" units="fmol_per_sec"/>
    <variable name="mu_r1_in" units="J_per_mol"/>
    <variable name="mu_r1_out" units="J_per_mol"/>
    <variable name="kappa_r2" units="fmol_per_sec" interface="public"/>
    <variable name="v_r2" units="fmol_per_sec"/>
    <variable name="mu_r2_in" units="J_per_mol"/>
    <variable name="mu_r2_out" units="J_per_mol"/>
    <variable name="kappa_r3" units="fmol_per_sec" interface="public"/>
    <variable name="v_r3" units="fmol_per_sec"/>
    <variable name="mu_r3_in" units="J_per_mol"/>
    <variable name="mu_r3_out" units="J_per_mol"/>
    <variable name="kappa_r4" units="fmol_per_sec" interface="public"/>
    <variable name="v_r4" units="fmol_per_sec"/>
    <variable name="mu_r4_in" units="J_per_mol"/>
    <variable name="mu_r4_out" units="J_per_mol"/>
    <variable name="F" units="C_per_mol" interface="public"/>
    <variable name="R" units="J_per_K_per_mol" interface="public"/>
    <variable name="T" units="kelvin" interface="public"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
      <apply>
        <eq/>
        <ci>mu_Ai</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_Ai</ci>
              <ci>q_Ai</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_Ao</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_Ao</ci>
              <ci>q_Ao</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>q_3</ci>
        </apply>
        <ci>v_3</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_3</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_3</ci>
              <ci>q_3</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>q_4</ci>
        </apply>
        <ci>v_4</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_4</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_4</ci>
              <ci>q_4</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>q_5</ci>
        </apply>
        <ci>v_5</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_5</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_5</ci>
              <ci>q_5</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>q_6</ci>
        </apply>
        <ci>v_6</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_6</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_6</ci>
              <ci>q_6</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>V_m</ci>
        <apply>
          <divide/>
          <ci>q_m</ci>
          <ci>C_m</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_r1</ci>
        <apply>
          <times/>
          <ci>kappa_r1</ci>
          <apply>
            <minus/>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>mu_r1_in</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>mu_r1_out</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_r2</ci>
        <apply>
          <times/>
          <ci>kappa_r2</ci>
          <apply>
            <minus/>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>mu_r2_in</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>mu_r2_out</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_r3</ci>
        <apply>
          <times/>
          <ci>kappa_r3</ci>
          <apply>
            <minus/>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>mu_r3_in</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>mu_r3_out</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_r4</ci>
        <apply>
          <times/>
          <ci>kappa_r4</ci>
          <apply>
            <minus/>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>mu_r4_in</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>mu_r4_out</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_Ai</ci>
        <ci>v_r1</ci>
      </apply>
      <apply>
        <eq/>
        <ci>v_Ao</ci>
        <apply>
          <minus/>
          <ci>v_r2</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_3</ci>
        <apply>
          <plus/>
          <apply>
            <minus/>
            <ci>v_r3</ci>
          </apply>
          <ci>v_r1</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_4</ci>
        <apply>
          <plus/>
          <apply>
            <minus/>
            <ci>v_r2</ci>
          </apply>
          <ci>v_r3</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_5</ci>
        <apply>
          <plus/>
          <apply>
            <minus/>
            <ci>v_r1</ci>
          </apply>
          <ci>v_r4</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_6</ci>
        <apply>
          <plus/>
          <apply>
            <minus/>
            <ci>v_r4</ci>
          </apply>
          <ci>v_r2</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>I_m</ci>
        <apply>
          <times/>
          <apply>
            <minus/>
            <ci>F</ci>
          </apply>
          <ci>v_r1</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_r1_in</ci>
        <apply>
          <plus/>
          <ci>mu_5</ci>
          <apply>
            <times/>
            <ci>F</ci>
            <ci>V_m</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_r1_out</ci>
        <apply>
          <plus/>
          <ci>mu_Ai</ci>
          <ci>mu_3</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_r2_in</ci>
        <apply>
          <plus/>
          <ci>mu_Ao</ci>
          <ci>mu_4</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_r2_out</ci>
        <ci>mu_6</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_r3_in</ci>
        <ci>mu_3</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_r3_out</ci>
        <ci>mu_4</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_r4_in</ci>
        <ci>mu_6</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_r4_out</ci>
        <ci>mu_5</ci>
      </apply>
    </math>
  </component>
</model>