Location: Glucose Uptake in Enterocyte @ 9a05c3e61f90 / NaKCC_flux.cellml

Author:
Nima Afshar <nafs080@aucklanduni.ac.nz>
Date:
2019-12-11 15:02:12+13:00
Desc:
Generated from Afshar vs Thorsen.cellml
Permanent Source URI:
https://models.physiomeproject.org/workspace/572/rawfile/9a05c3e61f90a1645655385440b46a8e6ad078bd/NaKCC_flux.cellml

<?xml version='1.0'?>
<model name="NaKCC_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="NaKCC">
        <variable name="A_Apical" public_interface="in" units="m2"/>
        <variable name="S_C" public_interface="out" units="M"/>
        <variable name="J_NaKCC" public_interface="out" units="umol_per_s"/>
        <variable name="I_NaKCC" public_interface="out" units="uA"/>
        <variable name="Na_i" public_interface="in" units="M"/>
        <variable name="K_i" public_interface="in" units="M"/>
        <variable name="Cl_i" public_interface="in" units="M"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="u_NaKCC" public_interface="out" units="per_second"/>
        <variable initial_value="157.55" name="gamma_1" public_interface="out" units="per_second2"/>
        <variable initial_value="20000000" name="gamma_2" public_interface="out" units="per_M4_per_second2"/>
        <variable initial_value="1.03" name="gamma_3" public_interface="out" units="per_second"/>
        <variable initial_value="1380000" name="gamma_4" public_interface="out" units="per_M4_per_second"/>
        <variable initial_value="1e-9" name="alpha_NaKCC" public_interface="out" units="mole_per_m2"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>S_C</ci>
                <apply>
                    <times/>
                    <ci>Na_i</ci>
                    <ci>Cl_i</ci>
                    <ci>Cl_i</ci>
                    <ci>K_i</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_NaKCC</ci>
                <apply>
                    <divide/>
                    <apply>
                        <minus/>
                        <ci>gamma_1</ci>
                        <apply>
                            <times/>
                            <ci>gamma_2</ci>
                            <ci>S_C</ci>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>gamma_3</ci>
                        <apply>
                            <times/>
                            <ci>gamma_4</ci>
                            <ci>S_C</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NaKCC</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
                    <ci>alpha_NaKCC</ci>
                    <ci>u_NaKCC</ci>
                    <ci>A_Apical</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NaKCC</ci>
                <apply>
                    <times/>
                    <ci>J_NaKCC</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>