Location: Glucose Uptake in Enterocyte @ a8753356fe63 / Basolateral_Concentrations.cellml

Author:
Nima Afshar <nafs080@aucklanduni.ac.nz>
Date:
2019-12-11 14:59:00+13:00
Desc:
Generated from Afshar vs Thorsen.cellml
Permanent Source URI:
https://models.fieldml.org/workspace/572/rawfile/a8753356fe63c3fc41745026412584fccea0ae98/Basolateral_Concentrations.cellml

<?xml version='1.0'?>
<model name="Basolateral_Concentrations" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="Basolateral_concentrations">
        <variable initial_value="0.155" name="Na_s" public_interface="out" units="M"/>
        <variable initial_value="0.005" name="glucose_s" public_interface="out" units="M"/>
        <variable initial_value="0.119" name="Cl_s" public_interface="out" units="M"/>
        <variable initial_value="0.0054" name="K_s" public_interface="out" units="M"/>
        <variable name="v_cell" public_interface="in" units="m3"/>
        <variable name="time" public_interface="in" units="second"/>
        <variable name="J_GLUT" public_interface="in" units="umol_per_s"/>
        <variable name="J_Na_NaK" public_interface="in" units="umol_per_s"/>
        <variable name="J_NaKCC" public_interface="in" units="umol_per_s"/>
        <variable name="J_NBC_Na" public_interface="in" units="umol_per_s"/>
        <variable name="J_D_P_Na" public_interface="in" units="umol_per_s"/>
        <variable name="J_D_P_K" public_interface="in" units="umol_per_s"/>
        <variable name="J_KCNQ" public_interface="in" units="umol_per_s"/>
        <variable name="J_K_NaK" public_interface="in" units="umol_per_s"/>
        <variable name="J_D_P_Cl" public_interface="in" units="umol_per_s"/>
        <variable name="J_CLC2" public_interface="in" units="umol_per_s"/>
        <variable name="v_b" public_interface="out" units="m3"/>
        <variable initial_value="1" name="m" public_interface="out" units="dimensionless"/>
        <variable initial_value="0" name="theta" public_interface="out" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_b</ci>
                <apply>
                    <times/>
                    <ci>m</ci>
                    <ci>v_cell</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Cl_s</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>theta</ci>
                        <cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <ci>J_CLC2</ci>
                                <apply>
                                    <times/>
                                    <cn cellml:units="dimensionless">2</cn>
                                    <ci>J_NaKCC</ci>
                                </apply>
                            </apply>
                            <ci>J_D_P_Cl</ci>
                        </apply>
                    </apply>
                    <ci>v_b</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>K_s</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>theta</ci>
                        <cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <minus/>
                                        <ci>J_K_NaK</ci>
                                    </apply>
                                    <ci>J_NaKCC</ci>
                                </apply>
                                <ci>J_KCNQ</ci>
                            </apply>
                            <ci>J_D_P_K</ci>
                        </apply>
                    </apply>
                    <ci>v_b</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Na_s</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>theta</ci>
                        <cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <apply>
                                    <minus/>
                                    <ci>J_Na_NaK</ci>
                                    <ci>J_NaKCC</ci>
                                </apply>
                                <ci>J_NBC_Na</ci>
                            </apply>
                            <ci>J_D_P_Na</ci>
                        </apply>
                    </apply>
                    <ci>v_b</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>glucose_s</ci>
                </apply>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>theta</ci>
                        <cn cellml:units="mole_per_umol" type="e-notation">1<sep/>-9</cn>
                        <ci>J_GLUT</ci>
                    </apply>
                    <ci>v_b</ci>
                </apply>
            </apply>
        </math>
    </component>
    <!-- Your code goes here-->
</model>