Location: Modular version of Glucose uptake (including water transport) @ 2ad89252015a / NBC_flux.cellml

Author:
Nima <nafs080@aucklanduni.ac.nz>
Date:
2019-07-21 09:46:02+12:00
Desc:
Modular version of glucose uptake model (contains water transporters and cell volume changes)
Permanent Source URI:
https://models.cellml.org/workspace/58c/rawfile/2ad89252015aa87ebc327c2d547bd99bc7629853/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">
        <!--var time: second {pub: in};-->
        <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="0.08" 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"/>
        <!--kelvin {init: 300};-->
        <variable initial_value="2" name="n" units="dimensionless"/>
        <!--var eps: M {init: 1e-12};-->
        <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>
                            <divide/>
                            <apply>
                                <times/>
                                <apply>
                                    <divide/>
                                    <ci>Na_s</ci>
                                    <ci>Na_i</ci>
                                </apply>
                                <apply>
                                    <power/>
                                    <ci>HCO3_s</ci>
                                    <cn cellml:units="dimensionless">2</cn>
                                </apply>
                            </apply>
                            <apply>
                                <power/>
                                <ci>HCO3_i</ci>
                                <cn cellml:units="dimensionless">2</cn>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NBC_Na</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
                    <ci>g_NBC</ci>
                    <ci>A_Apical</ci>
                    <apply>
                        <minus/>
                        <ci>v_sc</ci>
                        <ci>E_NBC</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NBC_HCO3</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">3.0</cn>
                    <ci>I_NBC_Na</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NBC_Na</ci>
                <apply>
                    <divide/>
                    <ci>I_NBC_Na</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NBC_HCO3</ci>
                <apply>
                    <divide/>
                    <ci>I_NBC_HCO3</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>