Location: Glucose Uptake in Enterocyte @ fad507f47193 / ENaC_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/ENaC_flux.cellml

<?xml version='1.0'?>
<!--Original Paper:Hodgkin, Alan L., and Andrew F. Huxley. "A quantitative description of membrane current and its application to conduction and excitation in nerve." The Journal of physiology 117.4 (1952): 500-544.
Link in Exposure:-->
<model name="ENaC_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="ENaC">
        <variable name="z_Na" public_interface="in" units="dimensionless"/>
        <variable name="R" public_interface="in" units="J_per_K_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="Na_i" public_interface="in" units="M"/>
        <variable name="Na_m" public_interface="in" units="M"/>
        <variable name="V_A_Na" public_interface="out" units="volt"/>
        <variable name="v_mc" public_interface="in" units="volt"/>
        <variable name="J_ENaC" public_interface="out" units="umol_per_s"/>
        <variable name="I_ENaC" public_interface="out" units="uA"/>
        <variable name="A_Apical" public_interface="in" units="m2"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable initial_value="9" name="G_ENaC" public_interface="out" units="S"/>
        <variable initial_value="0.1" name="alpha_ENaC" public_interface="out" units="per_m2"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>J_ENaC</ci>
                <apply>
                    <divide/>
                    <ci>I_ENaC</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>V_A_Na</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>R</ci>
                            <ci>T</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>z_Na</ci>
                            <ci>F</ci>
                        </apply>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>Na_m</ci>
                            <ci>Na_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- 1e6 is for unit consistency in order to change Ampere to MicorAmpere  -->
            <apply>
                <eq/>
                <ci>I_ENaC</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <cn cellml:units="dimensionless" type="e-notation">1<sep/>+6</cn>
                    </apply>
                    <ci>G_ENaC</ci>
                    <ci>alpha_ENaC</ci>
                    <ci>A_Apical</ci>
                    <apply>
                        <minus/>
                        <ci>v_mc</ci>
                        <ci>V_A_Na</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
</model>