Location: SLC transporters @ e404cc862a85 / Electrogenic cotransporter / SGLT1_ss.cellml

Author:
Weiwei Ai <wai484@aucklanduni.ac.nz>
Date:
2024-05-27 16:32:55+12:00
Desc:
Removed the links to files.
Permanent Source URI:
http://models.cellml.org/workspace/b65/rawfile/e404cc862a856e4bf6715a0af308ed5ae4968d0b/Electrogenic cotransporter/SGLT1_ss.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="SGLT1_BG" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="./units.cellml">
        <units name="fmol_per_s" units_ref="fmol_per_s"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="per_fmol" units_ref="per_fmol"/>
        <units name="fmol" units_ref="fmol"/>
        <units name="fA" units_ref="fA"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="J_per_K_mol" units_ref="J_per_K_mol"/>
    </import>
    <import xlink:href="params_ss.cellml">
        <component component_ref="params_BG" name="params_BG"/>
    </import>
    <component name="SGLT1_BG">
        <variable name="R" public_interface="in" units="J_per_K_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="K_Nai" public_interface="in" units="per_fmol"/>
        <variable name="q_Nai" public_interface="in" units="fmol"/>
        <variable name="K_Nao" public_interface="in" units="per_fmol"/>
        <variable name="q_Nao" public_interface="in" units="fmol"/>
        <variable name="K_Glci" public_interface="in" units="per_fmol"/>
        <variable name="q_Glci" public_interface="in" units="fmol"/>
        <variable name="K_Glco" public_interface="in" units="per_fmol"/>
        <variable name="q_Glco" public_interface="in" units="fmol"/>
        <variable name="K_1" public_interface="in" units="per_fmol"/>
        <variable name="q_init_1" public_interface="in" units="fmol"/>
        <variable name="K_2" public_interface="in" units="per_fmol"/>
        <variable name="q_init_2" public_interface="in" units="fmol"/>
        <variable name="K_3" public_interface="in" units="per_fmol"/>
        <variable name="q_init_3" public_interface="in" units="fmol"/>
        <variable name="K_4" public_interface="in" units="per_fmol"/>
        <variable name="q_init_4" public_interface="in" units="fmol"/>
        <variable name="K_5" public_interface="in" units="per_fmol"/>
        <variable name="q_init_5" public_interface="in" units="fmol"/>
        <variable name="K_6" public_interface="in" units="per_fmol"/>
        <variable name="q_init_6" public_interface="in" units="fmol"/>
        <variable name="V0_Vm" public_interface="in" units="volt"/>
        <variable name="z_zf1" public_interface="in" units="dimensionless"/>
        <variable name="z_zf6" public_interface="in" units="dimensionless"/>
        <variable name="kappa_r1" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r2" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r3" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r4" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r5" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r6" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r7" public_interface="in" units="fmol_per_s"/>
        <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" public_interface="in" units="second"/>
        <variable name="Ii" public_interface="out" units="fA"/>
        <variable name="Ii_1" public_interface="out" units="fA"/>
        <variable name="q_1" units="fmol"/>
        <variable name="A" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <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>
        <map_components 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>