Location: Glucose Uptake in Enterocyte @ fad507f47193 / NBC_flux.cellml

Author:
Glucose Uptake <nafs080@aucklanduni.ac.nz>
Date:
2018-03-29 11:47:30+13:00
Desc:
Modular Version of Glucose Uptake in CellML
Permanent Source URI:
https://models.cellml.org/workspace/572/rawfile/fad507f47193ac8be8dee23ffa9448938603f792/NBC_flux.cellml

<?xml version='1.0'?>
<model name="NBC_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="NBC">
        <variable name="A_Apical" public_interface="in" units="m2"/>
        <variable name="v_sc" public_interface="in" units="volt"/>
        <variable name="v_cell" public_interface="in" units="m3"/>
        <variable name="Na_i" public_interface="in" units="M"/>
        <variable name="Na_s" public_interface="in" units="M"/>
        <variable name="HCO3_i" public_interface="in" units="M"/>
        <variable name="HCO3_s" public_interface="in" units="M"/>
        <variable initial_value="0.01" name="g_NBC" public_interface="out" units="S_per_m2"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="R" public_interface="in" units="J_per_K_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable initial_value="2" name="n" units="dimensionless"/>
        <variable name="E_NBC" public_interface="out" units="volt"/>
        <variable name="J_NBC_Na" public_interface="out" units="umol_per_s"/>
        <variable name="J_NBC_HCO3" public_interface="out" units="umol_per_s"/>
        <variable name="I_NBC_Na" public_interface="out" units="uA"/>
        <variable name="I_NBC_HCO3" public_interface="out" units="uA"/>
        <variable initial_value="1e-18" name="eps" units="M"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>E_NBC</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>R</ci>
                            <ci>T</ci>
                        </apply>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless">1</cn>
                                <ci>n</ci>
                            </apply>
                            <ci>F</ci>
                        </apply>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <ci>Na_s</ci>
                                <ci>Na_i</ci>
                            </apply>
                            <apply>
                                <power/>
                                <apply>
                                    <divide/>
                                    <ci>HCO3_s</ci>
                                    <ci>HCO3_i</ci>
                                </apply>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!--1e6 is for unit consistency in order to change mole to Micormole -->
            <apply>
                <eq/>
                <ci>J_NBC_Na</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
                        <ci>g_NBC</ci>
                        <ci>A_Apical</ci>
                        <apply>
                            <minus/>
                            <ci>E_NBC</ci>
                            <ci>v_sc</ci>
                        </apply>
                    </apply>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NBC_HCO3</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3.0</cn>
                    <ci>J_NBC_Na</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NBC_Na</ci>
                <apply>
                    <times/>
                    <ci>J_NBC_Na</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NBC_HCO3</ci>
                <apply>
                    <times/>
                    <ci>J_NBC_HCO3</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>