Location: Na+/Glucose Transporter @ 64ea31e49cc3 / Diffusion.cellml

Author:
Soroush Safaei <ssaf006@aucklanduni.ac.nz>
Date:
2018-07-31 18:31:06+12:00
Desc:
modularisation
Permanent Source URI:
https://models.physiomeproject.org/workspace/436/rawfile/64ea31e49cc3a4ba9a3b468db0f26f8fae5e155c/Diffusion.cellml

<?xml version='1.0'?>
<model name="Diffusion" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="Transcellular_Diffusion">
        <variable name="psi" public_interface="in" units="volt"/>
        <variable name="q_i" public_interface="in" units="M"/>
        <variable name="q_o" public_interface="in" units="M"/>
        <variable name="Area" public_interface="in" units="m2"/>
        <variable name="P" public_interface="in" units="m_per_s"/>
        <variable name="z" public_interface="in" units="dimensionless"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="R" public_interface="in" units="J_per_mol_K"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="J_D" public_interface="out" units="umol_per_s"/>
        <variable name="I_D" public_interface="out" units="uA"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>J_D</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="l_umol_per_mol_m3" type="e-notation">1<sep/>+9</cn>
                                    </apply>
                                    <ci>P</ci>
                                    <ci>z</ci>
                                    <ci>F</ci>
                                    <ci>psi</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <ci>q_o</ci>
                                <apply>
                                    <times/>
                                    <ci>q_i</ci>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <ci>z</ci>
                                                <ci>F</ci>
                                                <ci>psi</ci>
                                            </apply>
                                            <apply>
                                                <times/>
                                                <ci>R</ci>
                                                <ci>T</ci>
                                            </apply>
                                        </apply>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>z</ci>
                                        <ci>F</ci>
                                        <ci>psi</ci>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <ci>R</ci>
                                        <ci>T</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <ci>Area</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_D</ci>
                <apply>
                    <times/>
                    <ci>J_D</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="Paracellular_Diffusion">
        <variable name="psi_i" public_interface="in" units="volt"/>
        <variable name="psi_o" public_interface="in" units="volt"/>
        <variable name="psi" public_interface="out" units="volt"/>
        <variable name="q_i" public_interface="in" units="M"/>
        <variable name="q_o" public_interface="in" units="M"/>
        <variable name="Area" public_interface="in" units="m2"/>
        <variable name="P" public_interface="in" units="m_per_s"/>
        <variable name="z" public_interface="in" units="dimensionless"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="R" public_interface="in" units="J_per_mol_K"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="J_D" public_interface="out" units="umol_per_s"/>
        <variable name="I_D" public_interface="out" units="uA"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>psi</ci>
                <apply>
                    <minus/>
                    <ci>psi_i</ci>
                    <ci>psi_o</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_D</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <times/>
                                    <apply>
                                        <minus/>
                                        <cn cellml:units="l_umol_per_mol_m3" type="e-notation">1<sep/>+9</cn>
                                    </apply>
                                    <ci>P</ci>
                                    <ci>z</ci>
                                    <ci>F</ci>
                                    <ci>psi</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <ci>q_o</ci>
                                <apply>
                                    <times/>
                                    <ci>q_i</ci>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <apply>
                                                <times/>
                                                <ci>z</ci>
                                                <ci>F</ci>
                                                <ci>psi</ci>
                                            </apply>
                                            <apply>
                                                <times/>
                                                <ci>R</ci>
                                                <ci>T</ci>
                                            </apply>
                                        </apply>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <minus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <apply>
                                <exp/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>z</ci>
                                        <ci>F</ci>
                                        <ci>psi</ci>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <ci>R</ci>
                                        <ci>T</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                    <ci>Area</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_D</ci>
                <apply>
                    <times/>
                    <ci>J_D</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>