Location: Na+/Glucose Transporter @ a3e409260980 / CFTR.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2018-07-29 23:30:09+12:00
Desc:
modular
Permanent Source URI:
https://models.physiomeproject.org/workspace/436/rawfile/a3e40926098096b3269538f412265b538889ec5e/CFTR.cellml

<?xml version='1.0'?>
<model name="BK" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="CFTR">
        <variable name="z_Cl" public_interface="in" units="dimensionless"/>
        <variable name="R" public_interface="in" units="J_per_mol_K"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="q_Cl_c" public_interface="in" units="M"/>
        <variable name="q_Cl_a" public_interface="in" units="M"/>
        <variable name="V_A_Cl" public_interface="out" units="volt"/>
        <variable name="V_A_HCO3" public_interface="out" units="volt"/>
        <variable name="V_a" public_interface="in" units="volt"/>
        <variable name="J_CFTR" public_interface="out" units="umol_per_s"/>
        <variable name="J_CFTR1" public_interface="out" units="umol_per_s"/>
        <variable name="J_CFTR_HCO3" public_interface="out" units="umol_per_s"/>
        <variable name="I_CFTR" public_interface="out" units="uA"/>
        <variable name="I_CFTR_HCO3" 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="17" name="G_CFTR" public_interface="out" units="S"/>
        <variable name="q_HCO3_c" public_interface="in" units="M"/>
        <variable name="q_HCO3_a" public_interface="in" units="M"/>
        <variable initial_value="-1" name="z_HCO3" public_interface="out" units="dimensionless"/>
        <!-- alpha is multipled by area in order to have a dimensionless unit-->
        <variable initial_value="0.1" name="alpha_CFTR" public_interface="out" units="per_m2"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>J_CFTR</ci>
                <apply>
                    <divide/>
                    <ci>I_CFTR</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_CFTR1</ci>
                <apply>
                    <times/>
                    <ci>J_CFTR</ci>
                    <cn cellml:units="dimensionless" type="e-notation">36<sep/>8</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>V_A_Cl</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>R</ci>
                            <ci>T</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>z_Cl</ci>
                            <ci>F</ci>
                        </apply>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>q_Cl_a</ci>
                            <ci>q_Cl_c</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_CFTR</ci>
                <apply>
                    <times/>
                    <apply>
                        <minus/>
                        <cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
                    </apply>
                    <ci>G_CFTR</ci>
                    <ci>alpha_CFTR</ci>
                    <ci>A_Apical</ci>
                    <apply>
                        <minus/>
                        <ci>V_a</ci>
                        <ci>V_A_Cl</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>V_A_HCO3</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <ci>R</ci>
                            <ci>T</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>z_HCO3</ci>
                            <ci>F</ci>
                        </apply>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <divide/>
                            <ci>q_HCO3_a</ci>
                            <ci>q_HCO3_c</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_CFTR_HCO3</ci>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless" type="e-notation">0.25<sep/>6</cn>
                    <ci>G_CFTR</ci>
                    <ci>alpha_CFTR</ci>
                    <ci>A_Apical</ci>
                    <apply>
                        <minus/>
                        <ci>V_a</ci>
                        <ci>V_A_HCO3</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_CFTR_HCO3</ci>
                <apply>
                    <divide/>
                    <ci>I_CFTR_HCO3</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>