Location: SLC transporters @ 787135a50b89 / Electrogenic cotransporter / CellMLV2 / SGLT1_BG_0.cellml

Author:
Weiwei Ai <wai484@aucklanduni.ac.nz>
Date:
2024-04-23 15:38:16+12:00
Desc:
Remove SGLT1_BG_ss model
Permanent Source URI:
https://models.physiomeproject.org/workspace/b65/rawfile/787135a50b89b861b7e04946868449e545d6b8e6/Electrogenic cotransporter/CellMLV2/SGLT1_BG_0.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="SGLT1_BG_0">
  <import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="params_BG_0.cellml">
    <component component_ref="params_BG" name="params_BG"/>
  </import>
  <import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="./units.cellml">
    <units units_ref="J_per_K_mol" name="J_per_K_mol"/>
    <units units_ref="fmol_per_s" name="fmol_per_s"/>
    <units units_ref="fA" name="fA"/>
    <units units_ref="C_per_mol" name="C_per_mol"/>
    <units units_ref="J_per_mol" name="J_per_mol"/>
    <units units_ref="per_fmol" name="per_fmol"/>
    <units units_ref="fmol" name="fmol"/>
  </import>
  <component name="SGLT1_BG_0">
    <variable name="t" units="second" interface="public"/>
    <variable name="R" units="J_per_K_mol" interface="public"/>
    <variable name="T" units="kelvin" interface="public"/>
    <variable name="F" units="C_per_mol" interface="public"/>
    <variable name="K_Nai" units="per_fmol" interface="public"/>
    <variable name="q_Nai" units="fmol" interface="public"/>
    <variable name="K_Nao" units="per_fmol" interface="public"/>
    <variable name="q_Nao" units="fmol" interface="public"/>
    <variable name="K_Glci" units="per_fmol" interface="public"/>
    <variable name="q_Glci" units="fmol" interface="public"/>
    <variable name="K_Glco" units="per_fmol" interface="public"/>
    <variable name="q_Glco" units="fmol" interface="public"/>
    <variable name="K_1" units="per_fmol" interface="public"/>
    <variable name="q_init_1" units="fmol" interface="public"/>
    <variable name="K_2" units="per_fmol" interface="public"/>
    <variable name="q_init_2" units="fmol" interface="public"/>
    <variable name="K_3" units="per_fmol" interface="public"/>
    <variable name="q_init_3" units="fmol" interface="public"/>
    <variable name="K_4" units="per_fmol" interface="public"/>
    <variable name="q_init_4" units="fmol" interface="public"/>
    <variable name="K_5" units="per_fmol" interface="public"/>
    <variable name="q_init_5" units="fmol" interface="public"/>
    <variable name="K_6" units="per_fmol" interface="public"/>
    <variable name="q_init_6" units="fmol" interface="public"/>
    <variable name="V0_Vm" units="volt" interface="public"/>
    <variable name="z_z1" units="dimensionless" interface="public"/>
    <variable name="z_z2" units="dimensionless" interface="public"/>
    <variable name="kappa_r1" units="fmol_per_s" interface="public"/>
    <variable name="kappa_r2" units="fmol_per_s" interface="public"/>
    <variable name="kappa_r3" units="fmol_per_s" interface="public"/>
    <variable name="kappa_r4" units="fmol_per_s" interface="public"/>
    <variable name="kappa_r5" units="fmol_per_s" interface="public"/>
    <variable name="kappa_r6" units="fmol_per_s" interface="public"/>
    <variable name="kappa_r7" units="fmol_per_s" interface="public"/>
    <variable name="mu_Nai" units="J_per_mol"/>
    <variable name="mu_Nao" units="J_per_mol"/>
    <variable name="mu_Glci" units="J_per_mol"/>
    <variable name="mu_Glco" units="J_per_mol"/>
    <variable name="mu_1" units="J_per_mol"/>
    <variable name="v_1" units="fmol_per_s"/>
    <variable name="mu_2" units="J_per_mol"/>
    <variable name="v_2" units="fmol_per_s"/>
    <variable name="mu_3" units="J_per_mol"/>
    <variable name="v_3" units="fmol_per_s"/>
    <variable name="mu_4" units="J_per_mol"/>
    <variable name="v_4" units="fmol_per_s"/>
    <variable name="mu_5" units="J_per_mol"/>
    <variable name="v_5" units="fmol_per_s"/>
    <variable name="mu_6" units="J_per_mol"/>
    <variable name="v_6" units="fmol_per_s"/>
    <variable name="V_Vm" units="volt"/>
    <variable name="V_z1" units="volt"/>
    <variable name="I_z1" units="fA"/>
    <variable name="mu_z1" units="J_per_mol"/>
    <variable name="v_z1" units="fmol_per_s"/>
    <variable name="V_z2" units="volt"/>
    <variable name="I_z2" units="fA"/>
    <variable name="mu_z2" units="J_per_mol"/>
    <variable name="v_z2" units="fmol_per_s"/>
    <variable name="A_f_r1" units="J_per_mol"/>
    <variable name="v_r1" units="fmol_per_s"/>
    <variable name="A_r_r1" units="J_per_mol"/>
    <variable name="A_f_r2" units="J_per_mol"/>
    <variable name="v_r2" units="fmol_per_s"/>
    <variable name="A_r_r2" units="J_per_mol"/>
    <variable name="A_f_r3" units="J_per_mol"/>
    <variable name="v_r3" units="fmol_per_s"/>
    <variable name="A_r_r3" units="J_per_mol"/>
    <variable name="A_f_r4" units="J_per_mol"/>
    <variable name="v_r4" units="fmol_per_s"/>
    <variable name="A_r_r4" units="J_per_mol"/>
    <variable name="A_f_r5" units="J_per_mol"/>
    <variable name="v_r5" units="fmol_per_s"/>
    <variable name="A_r_r5" units="J_per_mol"/>
    <variable name="A_f_r6" units="J_per_mol"/>
    <variable name="v_r6" units="fmol_per_s"/>
    <variable name="A_r_r6" units="J_per_mol"/>
    <variable name="A_f_r7" units="J_per_mol"/>
    <variable name="v_r7" units="fmol_per_s"/>
    <variable name="A_r_r7" units="J_per_mol"/>
    <variable name="q_1" units="fmol" initial_value="q_init_1"/>
    <variable name="q_2" units="fmol" initial_value="q_init_2"/>
    <variable name="q_3" units="fmol" initial_value="q_init_3"/>
    <variable name="q_4" units="fmol" initial_value="q_init_4"/>
    <variable name="q_5" units="fmol" initial_value="q_init_5"/>
    <variable name="q_6" units="fmol" initial_value="q_init_6"/>
    <variable name="I" units="fA"/>
    <variable name="Ii" units="fA"/>
    <variable name="Im" units="fA" interface="public"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
      <apply>
        <eq/>
        <ci>Ii</ci>
        <apply>
          <plus/>
          <ci>I_z1</ci>
          <ci>I_z2</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>I</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <apply>
              <plus/>
              <apply>
                <minus/>
                <ci>Ii</ci>
              </apply>
              <ci>Im</ci>
            </apply>
            <cn cellml:units="dimensionless">1</cn>
          </apply>
          <cn type="e-notation" cellml:units="dimensionless">10<sep/>6</cn>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_Nai</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_Nai</ci>
              <ci>q_Nai</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_Nao</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_Nao</ci>
              <ci>q_Nao</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_Glci</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_Glci</ci>
              <ci>q_Glci</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_Glco</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_Glco</ci>
              <ci>q_Glco</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_1</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_1</ci>
              <ci>q_1</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>q_1</ci>
        </apply>
        <ci>v_1</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_2</ci>
        <apply>
          <times/>
          <ci>R</ci>
          <ci>T</ci>
          <apply>
            <ln/>
            <apply>
              <times/>
              <ci>K_2</ci>
              <ci>q_2</ci>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>q_2</ci>
        </apply>
        <ci>v_2</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_3</ci>
        </apply>
        <ci>v_3</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_4</ci>
        </apply>
        <ci>v_4</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_5</ci>
        </apply>
        <ci>v_5</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/>
        <apply>
          <diff/>
          <bvar>
            <ci>t</ci>
          </bvar>
          <ci>q_6</ci>
        </apply>
        <ci>v_6</ci>
      </apply>
      <apply>
        <eq/>
        <ci>V_Vm</ci>
        <ci>V0_Vm</ci>
      </apply>
      <apply>
        <eq/>
        <ci>mu_z1</ci>
        <apply>
          <times/>
          <ci>z_z1</ci>
          <ci>F</ci>
          <ci>V_z1</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>I_z1</ci>
        <apply>
          <times/>
          <ci>z_z1</ci>
          <ci>F</ci>
          <ci>v_z1</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>mu_z2</ci>
        <apply>
          <times/>
          <ci>z_z2</ci>
          <ci>F</ci>
          <ci>V_z2</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>I_z2</ci>
        <apply>
          <times/>
          <ci>z_z2</ci>
          <ci>F</ci>
          <ci>v_z2</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_r1</ci>
        <apply>
          <times/>
          <ci>kappa_r1</ci>
          <apply>
            <minus/>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>A_f_r1</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
            <apply>
              <exp/>
              <apply>
                <divide/>
                <ci>A_r_r1</ci>
                <apply>
                  <times/>
                  <ci>R</ci>
                  <ci>T</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_r2</ci>
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          <times/>
          <ci>kappa_r2</ci>
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            <minus/>
            <apply>
              <exp/>
              <apply>
                <divide/>
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                <apply>
                  <times/>
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              <exp/>
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                <divide/>
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            </apply>
          </apply>
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        <eq/>
        <ci>v_r3</ci>
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          <times/>
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            <minus/>
            <apply>
              <exp/>
              <apply>
                <divide/>
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              <exp/>
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                <divide/>
                <ci>A_r_r3</ci>
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                  <times/>
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          </apply>
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      </apply>
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        <eq/>
        <ci>v_r4</ci>
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            <apply>
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              <exp/>
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                  <times/>
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              <exp/>
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        <eq/>
        <ci>v_2</ci>
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        <ci>v_5</ci>
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        <eq/>
        <ci>A_f_r4</ci>
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        <ci>A_r_r4</ci>
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          <plus/>
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            <times/>
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      <apply>
        <eq/>
        <ci>A_f_r7</ci>
        <ci>mu_2</ci>
      </apply>
      <apply>
        <eq/>
        <ci>A_r_r7</ci>
        <ci>mu_5</ci>
      </apply>
    </math>
  </component>
  <connection component_1="params_BG" component_2="SGLT1_BG_0">
    <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="K_Nai" variable_2="K_Nai"/>
    <map_variables variable_1="q_Nai" variable_2="q_Nai"/>
    <map_variables variable_1="K_Nao" variable_2="K_Nao"/>
    <map_variables variable_1="q_Nao" variable_2="q_Nao"/>
    <map_variables variable_1="K_Glci" variable_2="K_Glci"/>
    <map_variables variable_1="q_Glci" variable_2="q_Glci"/>
    <map_variables variable_1="K_Glco" variable_2="K_Glco"/>
    <map_variables variable_1="q_Glco" variable_2="q_Glco"/>
    <map_variables variable_1="K_1" variable_2="K_1"/>
    <map_variables variable_1="q_init_1" variable_2="q_init_1"/>
    <map_variables variable_1="K_2" variable_2="K_2"/>
    <map_variables variable_1="q_init_2" variable_2="q_init_2"/>
    <map_variables variable_1="K_3" variable_2="K_3"/>
    <map_variables variable_1="q_init_3" variable_2="q_init_3"/>
    <map_variables variable_1="K_4" variable_2="K_4"/>
    <map_variables variable_1="q_init_4" variable_2="q_init_4"/>
    <map_variables variable_1="K_5" variable_2="K_5"/>
    <map_variables variable_1="q_init_5" variable_2="q_init_5"/>
    <map_variables variable_1="K_6" variable_2="K_6"/>
    <map_variables variable_1="q_init_6" variable_2="q_init_6"/>
    <map_variables variable_1="V0_Vm" variable_2="V0_Vm"/>
    <map_variables variable_1="z_z1" variable_2="z_z1"/>
    <map_variables variable_1="z_z2" variable_2="z_z2"/>
    <map_variables variable_1="kappa_r1" variable_2="kappa_r1"/>
    <map_variables variable_1="kappa_r2" variable_2="kappa_r2"/>
    <map_variables variable_1="kappa_r3" variable_2="kappa_r3"/>
    <map_variables variable_1="kappa_r4" variable_2="kappa_r4"/>
    <map_variables variable_1="kappa_r5" variable_2="kappa_r5"/>
    <map_variables variable_1="kappa_r6" variable_2="kappa_r6"/>
    <map_variables variable_1="kappa_r7" variable_2="kappa_r7"/>
    <map_variables variable_1="t" variable_2="t"/>
    <map_variables variable_1="Im" variable_2="Im"/>
  </connection>
</model>