Location: SLC transporters @ fc0fce7e35c5 / Electrogenic cotransporter / CellMLV2 / SGLT1_ss_fast.cellml

Author:
Weiwei Ai <wai484@aucklanduni.ac.nz>
Date:
2024-05-28 16:00:03+12:00
Desc:
Seperate fast binding plot
Permanent Source URI:
https://models.fieldml.org/workspace/b65/rawfile/fc0fce7e35c51ca9d154c034c338020c0dc8566c/Electrogenic cotransporter/CellMLV2/SGLT1_ss_fast.cellml

<?xml version="1.0" encoding="UTF-8"?>
<model xmlns="http://www.cellml.org/cellml/2.0#" name="SGLT1_BG">
  <import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="params_ss_fast.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="fmol_per_s" name="fmol_per_s"/>
    <units units_ref="C_per_mol" name="C_per_mol"/>
    <units units_ref="per_fmol" name="per_fmol"/>
    <units units_ref="fmol" name="fmol"/>
    <units units_ref="fA" name="fA"/>
    <units units_ref="J_per_mol" name="J_per_mol"/>
    <units units_ref="J_per_K_mol" name="J_per_K_mol"/>
  </import>
  <component name="SGLT1_BG">
    <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_zf1" units="dimensionless" interface="public"/>
    <variable name="z_zf6" 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="q_tot" units="fmol"/>
    <variable name="sigma" units="dimensionless"/>
    <variable name="v_max" units="fmol_per_s"/>
    <variable name="v" units="fmol_per_s"/>
    <variable name="v_1" units="fmol_per_s"/>
    <variable name="Q_Na_o" units="dimensionless"/>
    <variable name="Q_Na_i" units="dimensionless"/>
    <variable name="Q_Glc_o" units="dimensionless"/>
    <variable name="Q_Glc_i" units="dimensionless"/>
    <variable name="z_1" units="dimensionless"/>
    <variable name="z_2" units="dimensionless"/>
    <variable name="B" units="dimensionless"/>
    <variable name="t" units="second" interface="public"/>
    <variable name="Ii" units="fA" interface="public"/>
    <variable name="Ii_1" units="fA" interface="public"/>
    <variable name="q_1" units="fmol"/>
    <variable name="A" units="dimensionless"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML" xmlns:cellml="http://www.cellml.org/cellml/2.0#">
      <apply>
        <eq/>
        <ci>Ii</ci>
        <apply>
          <times/>
          <cn cellml:units="dimensionless">2</cn>
          <apply>
            <plus/>
            <ci>z_1</ci>
            <ci>z_2</ci>
          </apply>
          <ci>F</ci>
          <ci>v</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>Ii_1</ci>
        <apply>
          <times/>
          <cn cellml:units="dimensionless">2</cn>
          <apply>
            <plus/>
            <ci>z_1</ci>
            <ci>z_2</ci>
          </apply>
          <ci>F</ci>
          <ci>v_1</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>z_1</ci>
        <ci>z_zf1</ci>
      </apply>
      <apply>
        <eq/>
        <ci>z_2</ci>
        <ci>z_zf6</ci>
      </apply>
      <apply>
        <eq/>
        <ci>sigma</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci>F</ci>
            <ci>V0_Vm</ci>
          </apply>
          <apply>
            <times/>
            <ci>R</ci>
            <ci>T</ci>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>q_tot</ci>
        <apply>
          <plus/>
          <ci>q_init_1</ci>
          <ci>q_init_2</ci>
          <ci>q_init_3</ci>
          <ci>q_init_4</ci>
          <ci>q_init_5</ci>
          <ci>q_init_6</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_max</ci>
        <apply>
          <times/>
          <ci>q_tot</ci>
          <ci>kappa_r6</ci>
          <ci>K_1</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>Q_Na_o</ci>
        <apply>
          <times/>
          <ci>K_Nao</ci>
          <ci>q_Nao</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>Q_Na_i</ci>
        <apply>
          <times/>
          <ci>K_Nai</ci>
          <ci>q_Nai</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>Q_Glc_o</ci>
        <apply>
          <times/>
          <ci>K_Glco</ci>
          <ci>q_Glco</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>Q_Glc_i</ci>
        <apply>
          <times/>
          <ci>K_Glci</ci>
          <ci>q_Glci</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci>v_max</ci>
            <apply>
              <minus/>
              <apply>
                <times/>
                <apply>
                  <power/>
                  <ci>Q_Na_o</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <ci>Q_Glc_o</ci>
              </apply>
              <apply>
                <times/>
                <apply>
                  <power/>
                  <ci>Q_Na_i</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <ci>Q_Glc_i</ci>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
          </apply>
          <ci>B</ci>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>B</ci>
        <apply>
          <plus/>
          <apply>
            <times/>
            <apply>
              <plus/>
              <apply>
                <exp/>
                <apply>
                  <times/>
                  <cn cellml:units="dimensionless">2</cn>
                  <ci>z_1</ci>
                  <ci>sigma</ci>
                </apply>
              </apply>
              <apply>
                <times/>
                <apply>
                  <power/>
                  <ci>Q_Na_o</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <apply>
                  <plus/>
                  <apply>
                    <divide/>
                    <ci>K_1</ci>
                    <ci>K_2</ci>
                  </apply>
                  <apply>
                    <times/>
                    <apply>
                      <divide/>
                      <ci>K_1</ci>
                      <ci>K_3</ci>
                    </apply>
                    <ci>Q_Glc_o</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <plus/>
              <apply>
                <times/>
                <apply>
                  <power/>
                  <ci>Q_Na_i</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <ci>Q_Glc_i</ci>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <ci>z_2</ci>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
              <apply>
                <divide/>
                <ci>kappa_r6</ci>
                <ci>kappa_r3</ci>
              </apply>
            </apply>
          </apply>
          <apply>
            <times/>
            <apply>
              <plus/>
              <apply>
                <divide/>
                <ci>K_1</ci>
                <ci>K_6</ci>
              </apply>
              <apply>
                <times/>
                <apply>
                  <power/>
                  <ci>Q_Na_i</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <apply>
                  <plus/>
                  <apply>
                    <divide/>
                    <ci>K_1</ci>
                    <ci>K_5</ci>
                  </apply>
                  <apply>
                    <times/>
                    <apply>
                      <divide/>
                      <ci>K_1</ci>
                      <ci>K_4</ci>
                    </apply>
                    <ci>Q_Glc_i</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <plus/>
              <apply>
                <times/>
                <apply>
                  <power/>
                  <ci>Q_Na_o</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <ci>Q_Glc_o</ci>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <ci>z_2</ci>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci>kappa_r6</ci>
                  <ci>kappa_r3</ci>
                </apply>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <cn cellml:units="dimensionless">2</cn>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>A</ci>
        <apply>
          <plus/>
          <apply>
            <times/>
            <apply>
              <plus/>
              <cn cellml:units="dimensionless">1</cn>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci>K_1</ci>
                  <ci>K_2</ci>
                </apply>
                <apply>
                  <power/>
                  <ci>Q_Na_o</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <apply>
                      <minus/>
                      <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <ci>z_1</ci>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci>K_1</ci>
                  <ci>K_3</ci>
                </apply>
                <apply>
                  <power/>
                  <ci>Q_Na_o</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <ci>Q_Glc_o</ci>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <apply>
                      <minus/>
                      <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <ci>z_1</ci>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <plus/>
              <ci>Q_Glc_i</ci>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci>kappa_r6</ci>
                  <ci>kappa_r3</ci>
                </apply>
                <apply>
                  <power/>
                  <ci>Q_Na_i</ci>
                  <apply>
                    <minus/>
                    <cn cellml:units="dimensionless">2</cn>
                  </apply>
                </apply>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <apply>
                      <minus/>
                      <ci>z_2</ci>
                    </apply>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
          </apply>
          <apply>
            <times/>
            <apply>
              <plus/>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci>K_1</ci>
                  <ci>K_4</ci>
                </apply>
                <ci>Q_Glc_i</ci>
              </apply>
              <apply>
                <divide/>
                <ci>K_1</ci>
                <ci>K_5</ci>
              </apply>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci>K_1</ci>
                  <ci>K_6</ci>
                </apply>
                <apply>
                  <power/>
                  <ci>Q_Na_i</ci>
                  <apply>
                    <minus/>
                    <cn cellml:units="dimensionless">2</cn>
                  </apply>
                </apply>
              </apply>
            </apply>
            <apply>
              <plus/>
              <apply>
                <times/>
                <apply>
                  <power/>
                  <ci>Q_Na_o</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <ci>Q_Glc_o</ci>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <apply>
                      <minus/>
                      <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <ci>z_1</ci>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
              <apply>
                <times/>
                <apply>
                  <divide/>
                  <ci>kappa_r6</ci>
                  <ci>kappa_r3</ci>
                </apply>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <ci>z_2</ci>
                    <ci>sigma</ci>
                  </apply>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>q_1</ci>
        <apply>
          <times/>
          <apply>
            <divide/>
            <ci>q_tot</ci>
            <ci>A</ci>
          </apply>
          <apply>
            <plus/>
            <ci>Q_Glc_i</ci>
            <apply>
              <times/>
              <apply>
                <divide/>
                <ci>kappa_r6</ci>
                <ci>kappa_r3</ci>
              </apply>
              <apply>
                <power/>
                <ci>Q_Na_i</ci>
                <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <times/>
                  <apply>
                    <minus/>
                    <ci>z_2</ci>
                  </apply>
                  <ci>sigma</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
      <apply>
        <eq/>
        <ci>v_1</ci>
        <apply>
          <divide/>
          <apply>
            <times/>
            <ci>kappa_r3</ci>
            <ci>K_1</ci>
            <apply>
              <minus/>
              <apply>
                <times/>
                <apply>
                  <power/>
                  <ci>Q_Na_o</ci>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
                <ci>Q_Glc_o</ci>
                <apply>
                  <exp/>
                  <apply>
                    <times/>
                    <apply>
                      <minus/>
                      <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <ci>z_1</ci>
                    <ci>sigma</ci>
                  </apply>
                </apply>
                <apply>
                  <plus/>
                  <ci>Q_Glc_i</ci>
                  <apply>
                    <times/>
                    <apply>
                      <divide/>
                      <ci>kappa_r6</ci>
                      <ci>kappa_r3</ci>
                    </apply>
                    <apply>
                      <power/>
                      <ci>Q_Na_i</ci>
                      <apply>
                        <minus/>
                        <cn cellml:units="dimensionless">2</cn>
                      </apply>
                    </apply>
                    <apply>
                      <exp/>
                      <apply>
                        <times/>
                        <apply>
                          <minus/>
                          <ci>z_2</ci>
                        </apply>
                        <ci>sigma</ci>
                      </apply>
                    </apply>
                  </apply>
                </apply>
              </apply>
              <apply>
                <times/>
                <ci>Q_Glc_i</ci>
                <apply>
                  <plus/>
                  <apply>
                    <times/>
                    <apply>
                      <power/>
                      <ci>Q_Na_o</ci>
                      <cn cellml:units="dimensionless">2</cn>
                    </apply>
                    <ci>Q_Glc_o</ci>
                    <apply>
                      <exp/>
                      <apply>
                        <times/>
                        <apply>
                          <minus/>
                          <cn cellml:units="dimensionless">2</cn>
                        </apply>
                        <ci>z_1</ci>
                        <ci>sigma</ci>
                      </apply>
                    </apply>
                  </apply>
                  <apply>
                    <times/>
                    <apply>
                      <divide/>
                      <ci>kappa_r6</ci>
                      <ci>kappa_r3</ci>
                    </apply>
                    <apply>
                      <exp/>
                      <apply>
                        <times/>
                        <ci>z_2</ci>
                        <ci>sigma</ci>
                      </apply>
                    </apply>
                  </apply>
                </apply>
              </apply>
            </apply>
            <ci>q_1</ci>
          </apply>
          <apply>
            <plus/>
            <ci>Q_Glc_i</ci>
            <apply>
              <times/>
              <apply>
                <divide/>
                <ci>kappa_r6</ci>
                <ci>kappa_r3</ci>
              </apply>
              <apply>
                <power/>
                <ci>Q_Na_i</ci>
                <apply>
                  <minus/>
                  <cn cellml:units="dimensionless">2</cn>
                </apply>
              </apply>
              <apply>
                <exp/>
                <apply>
                  <times/>
                  <apply>
                    <minus/>
                    <ci>z_2</ci>
                  </apply>
                  <ci>sigma</ci>
                </apply>
              </apply>
            </apply>
          </apply>
        </apply>
      </apply>
    </math>
  </component>
  <connection component_1="params_BG" component_2="SGLT1_BG">
    <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_zf1" variable_2="z_zf1"/>
    <map_variables variable_1="z_zf6" variable_2="z_zf6"/>
    <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"/>
  </connection>
</model>