Location: Glucose Uptake in Enterocyte @ 9a05c3e61f90 / NHE3_flux.cellml

Author:
Nima Afshar <nafs080@aucklanduni.ac.nz>
Date:
2019-12-11 15:02:12+13:00
Desc:
Generated from Afshar vs Thorsen.cellml
Permanent Source URI:
https://models.physiomeproject.org/workspace/572/rawfile/9a05c3e61f90a1645655385440b46a8e6ad078bd/NHE3_flux.cellml
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<?xml version='1.0'?>
<model name="NHE3_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
    <component name="NHE3">
        <variable name="A_Apical" public_interface="in" units="m2"/>
        <variable name="v_cell" public_interface="in" units="m3"/>
        <variable name="Na_m" public_interface="in" units="M"/>
        <variable name="Na_i" public_interface="in" units="M"/>
        <variable name="H_Ext" public_interface="in" units="M"/>
        <variable name="H_int" public_interface="in" units="M"/>
        <variable initial_value="0" name="NH4_ext" public_interface="out" units="M"/>
        <variable initial_value="0" name="NH4_int" public_interface="out" units="M"/>
        <variable name="J_NHE3_Na" public_interface="out" units="umol_per_s"/>
        <variable name="J_NHE3_H1" public_interface="out" units="umol_per_s"/>
        <variable name="J_NHE3_H" public_interface="out" units="umol_per_s"/>
        <variable name="J_NHE3_NH4" public_interface="out" units="umol_per_s"/>
        <variable name="J_NHE3_Na_Max" public_interface="out" units="umol_per_s"/>
        <variable name="I_NHE3_H" public_interface="out" units="uA"/>
        <variable name="I_NHE3_Na" public_interface="out" units="uA"/>
        <variable initial_value="0.001" name="x_T" units="M"/>
        <variable name="sigma" units="per_second"/>
        <variable name="P_Na" units="per_second"/>
        <variable name="P_H" units="per_second"/>
        <variable name="P_NH4" units="per_second"/>
        <variable initial_value="1.6" name="P0_Na" units="per_second"/>
        <variable initial_value="0.48" name="P0_H" units="per_second"/>
        <variable initial_value="1.6" name="P0_NH4" units="per_second"/>
        <variable initial_value="0.03" name="K_Na" units="M"/>
        <variable initial_value="7.2e-8" name="K_H" units="M"/>
        <variable initial_value="0.027" name="K_NH4" units="M"/>
        <variable initial_value="1e-9" name="K_I" units="M"/>
        <variable initial_value="0" name="f_m" units="dimensionless"/>
        <variable initial_value="2" name="f_M" units="dimensionless"/>
        <variable name="alpha_ext_Na" units="dimensionless"/>
        <variable name="alpha_int_Na" units="dimensionless"/>
        <variable name="beta_ext_H" units="dimensionless"/>
        <variable name="beta_int_H" units="dimensionless"/>
        <variable name="gamma_ext_NH4" units="dimensionless"/>
        <variable name="gamma_int_NH4" units="dimensionless"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>alpha_ext_Na</ci>
                <apply>
                    <divide/>
                    <ci>Na_m</ci>
                    <ci>K_Na</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>alpha_int_Na</ci>
                <apply>
                    <divide/>
                    <ci>Na_i</ci>
                    <ci>K_Na</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_ext_H</ci>
                <apply>
                    <divide/>
                    <ci>H_Ext</ci>
                    <ci>K_H</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>beta_int_H</ci>
                <apply>
                    <divide/>
                    <ci>H_int</ci>
                    <ci>K_H</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>gamma_ext_NH4</ci>
                <apply>
                    <divide/>
                    <ci>NH4_ext</ci>
                    <ci>K_NH4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>gamma_int_NH4</ci>
                <apply>
                    <divide/>
                    <ci>NH4_int</ci>
                    <ci>K_NH4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>P_Na</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>P0_Na</ci>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>f_M</ci>
                                <ci>H_int</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>f_m</ci>
                                <ci>K_I</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>H_int</ci>
                        <ci>K_I</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>P_H</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>P0_H</ci>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>f_M</ci>
                                <ci>H_int</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>f_m</ci>
                                <ci>K_I</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>H_int</ci>
                        <ci>K_I</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>P_NH4</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>P0_NH4</ci>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>f_M</ci>
                                <ci>H_int</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>f_m</ci>
                                <ci>K_I</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>H_int</ci>
                        <ci>K_I</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>sigma</ci>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>alpha_ext_Na</ci>
                            <ci>beta_ext_H</ci>
                            <ci>gamma_ext_NH4</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>P_Na</ci>
                                <ci>alpha_int_Na</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>P_H</ci>
                                <ci>beta_int_H</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>P_NH4</ci>
                                <ci>gamma_int_NH4</ci>
                            </apply>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <cn cellml:units="dimensionless">1</cn>
                            <ci>alpha_int_Na</ci>
                            <ci>beta_int_H</ci>
                            <ci>gamma_int_NH4</ci>
                        </apply>
                        <apply>
                            <plus/>
                            <apply>
                                <times/>
                                <ci>P_Na</ci>
                                <ci>alpha_ext_Na</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>P_H</ci>
                                <ci>beta_ext_H</ci>
                            </apply>
                            <apply>
                                <times/>
                                <ci>P_NH4</ci>
                                <ci>gamma_ext_NH4</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_Na</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless" type="e-notation">1<sep/>9</cn>
                            </apply>
                            <ci>v_cell</ci>
                            <ci>x_T</ci>
                        </apply>
                        <ci>sigma</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>P_Na</ci>
                            <ci>P_H</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>alpha_int_Na</ci>
                                    <ci>beta_ext_H</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>alpha_ext_Na</ci>
                                    <ci>beta_int_H</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>P_Na</ci>
                            <ci>P_NH4</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>alpha_int_Na</ci>
                                    <ci>gamma_ext_NH4</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>alpha_ext_Na</ci>
                                    <ci>gamma_int_NH4</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_H</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <cn cellml:units="dimensionless" type="e-notation">1<sep/>9</cn>
                            </apply>
                            <ci>v_cell</ci>
                            <ci>x_T</ci>
                        </apply>
                        <ci>sigma</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>P_Na</ci>
                            <ci>P_H</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>alpha_ext_Na</ci>
                                    <ci>beta_int_H</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>alpha_int_Na</ci>
                                    <ci>beta_ext_H</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>P_H</ci>
                            <ci>P_NH4</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>beta_int_H</ci>
                                    <ci>gamma_ext_NH4</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>beta_ext_H</ci>
                                    <ci>gamma_int_NH4</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_H1</ci>
                <apply>
                    <times/>
                    <ci>J_NHE3_H</ci>
                    <cn cellml:units="dimensionless" type="e-notation">36<sep/>8</cn>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_NH4</ci>
                <apply>
                    <times/>
                    <apply>
                        <divide/>
                        <ci>x_T</ci>
                        <ci>sigma</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>P_Na</ci>
                            <ci>P_NH4</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>alpha_ext_Na</ci>
                                    <ci>gamma_int_NH4</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>alpha_int_Na</ci>
                                    <ci>gamma_ext_NH4</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>P_H</ci>
                            <ci>P_NH4</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <times/>
                                    <ci>beta_ext_H</ci>
                                    <ci>gamma_int_NH4</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>gamma_ext_NH4</ci>
                                    <ci>beta_int_H</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>J_NHE3_Na_Max</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <ci>x_T</ci>
                        <ci>P_Na</ci>
                        <ci>P_H</ci>
                    </apply>
                    <apply>
                        <plus/>
                        <ci>P_Na</ci>
                        <ci>P_H</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NHE3_H</ci>
                <apply>
                    <times/>
                    <ci>J_NHE3_H</ci>
                    <ci>F</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_NHE3_Na</ci>
                <apply>
                    <times/>
                    <ci>J_NHE3_Na</ci>
                    <ci>F</ci>
                </apply>
            </apply>
        </math>
    </component>
</model>