Location: SLC transporters @ 3fe65da57abe / Electrogenic cotransporter / params_BG_0.cellml

Author:
Weiwei Ai <wai484@aucklanduni.ac.nz>
Date:
2024-04-17 14:07:31+12:00
Desc:
Add data from Parent1992; update the params; consider the background current;
Permanent Source URI:
https://models.physiomeproject.org/workspace/b65/rawfile/3fe65da57abe015d3d5975f688fe51a75debb2f2/Electrogenic cotransporter/params_BG_0.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="params_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="per_fmol" units_ref="per_fmol"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="fmol_per_s" units_ref="fmol_per_s"/>
        <units name="fmol" units_ref="fmol"/>
        <units name="J_per_K_mol" units_ref="J_per_K_mol"/>
        <units name="mM" units_ref="mM"/>
        <units name="pL" units_ref="pL"/>
        <units name="fA" units_ref="fA"/>
    </import>
    <component name="params_BG">
        <variable initial_value="8.31" name="R" public_interface="out" units="J_per_K_mol"/>
        <variable initial_value="293" name="T" public_interface="out" units="kelvin"/>
        <variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
        <variable initial_value="3.216e-08" name="K_Nai" public_interface="out" units="per_fmol"/>
        <variable name="q_Nai" public_interface="out" units="fmol"/>
        <variable initial_value="3.216e-08" name="K_Nao" public_interface="out" units="per_fmol"/>
        <variable name="q_Nao" public_interface="out" units="fmol"/>
        <variable initial_value="4.848e-06" name="K_Glci" public_interface="out" units="per_fmol"/>
        <variable name="q_Glci" public_interface="out" units="fmol"/>
        <variable initial_value="4.848e-06" name="K_Glco" public_interface="out" units="per_fmol"/>
        <variable name="q_Glco" public_interface="out" units="fmol"/>
        <variable initial_value="2.235" name="K_1" public_interface="out" units="per_fmol"/>
        <variable initial_value="16.605778811026234" name="q_init_1" public_interface="out" units="fmol"/>
        <variable initial_value="10.437" name="K_2" public_interface="out" units="per_fmol"/>
        <variable initial_value="16.605778811026234" name="q_init_2" public_interface="out" units="fmol"/>
        <variable initial_value="8.602" name="K_3" public_interface="out" units="per_fmol"/>
        <variable initial_value="16.605778811026234" name="q_init_3" public_interface="out" units="fmol"/>
        <variable initial_value="8.602" name="K_4" public_interface="out" units="per_fmol"/>
        <variable initial_value="16.605778811026234" name="q_init_4" public_interface="out" units="fmol"/>
        <variable initial_value="28.628" name="K_5" public_interface="out" units="per_fmol"/>
        <variable initial_value="16.605778811026234" name="q_init_5" public_interface="out" units="fmol"/>
        <variable initial_value="0.192" name="K_6" public_interface="out" units="per_fmol"/>
        <variable initial_value="16.605778811026234" name="q_init_6" public_interface="out" units="fmol"/>
        <variable name="V0_Vm" public_interface="out" units="volt"/>
        <variable initial_value="0.6" name="z_z1" public_interface="out" units="dimensionless"/>
        <variable initial_value="1.4" name="z_z2" public_interface="out" units="dimensionless"/>
        <variable initial_value="47.905" name="kappa_r1" public_interface="out" units="fmol_per_s"/>
        <variable initial_value="2.325" name="kappa_r2" public_interface="out" units="fmol_per_s"/>
        <variable initial_value="5.812" name="kappa_r3" public_interface="out" units="fmol_per_s"/>
        <variable initial_value="92.998" name="kappa_r4" public_interface="out" units="fmol_per_s"/>
        <variable initial_value="0.349" name="kappa_r5" public_interface="out" units="fmol_per_s"/>
        <variable initial_value="15.661" name="kappa_r6" public_interface="out" units="fmol_per_s"/>
        <variable initial_value="0.029" name="kappa_r7" public_interface="out" units="fmol_per_s"/>
        <variable initial_value="20" name="Nai" units="mM"/>
        <variable initial_value="100" name="Nao" units="mM"/>
        <variable initial_value="10e-3" name="Glci" units="mM"/>
        <variable initial_value="1e-9" name="Glco" units="mM"/>
        <variable initial_value="8.5e5" name="V_i" units="pL"/>
        <variable initial_value="8.5e5" name="V_o" units="pL"/>
        <variable name="t" public_interface="out" units="second"/>
        <variable initial_value="-0.065" name="Er" units="volt"/>
        <variable initial_value="1.2e6" name="Rm" units="ohm"/>
        <variable name="Im" public_interface="out" units="fA"/>
        <variable initial_value="0.05" name="test_volt" units="volt"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <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 cellml:units="fA" type="e-notation">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 cellml:units="second" type="e-notation">204.75<sep/>-3</cn>
                        </apply>
                    </piece>
                    <piece>
                        <ci>test_volt</ci>
                        <apply>
                            <lt/>
                            <ci>t</ci>
                            <cn cellml:units="second" type="e-notation">284.75<sep/>-3</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <minus/>
                            <cn cellml:units="volt">0.05</cn>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
        </math>
    </component>
</model>