Location: BG_NBC @ b5d10e5281bc / BG_NBC.cellml

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2022-05-25 13:29:34+12:00
Desc:
Adding 3Hi and 2He to stoich for every reaction forward and reverse
Permanent Source URI:
https://models.cellml.org/workspace/87f/rawfile/b5d10e5281bc1d01b967551bd27b1132401868cf/BG_NBC.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="individual_NBC" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="units_and_constants/units_BG.cellml">
        <units name="mM" units_ref="mM"/>
        <units name="fmol" units_ref="fmol"/>
        <units name="per_fmol" units_ref="per_fmol"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="fmol_per_sec" units_ref="fmol_per_sec"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="fF" units_ref="fF"/>
        <units name="fC" units_ref="fC"/>
        <units name="per_second" units_ref="per_second"/>
        <units name="per_sec" units_ref="per_sec"/>
        <units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
        <units name="fmol_per_L" units_ref="fmol_per_L"/>
        <units name="pL" units_ref="pL"/>
    </import>
    <import xlink:href="units_and_constants/constants_BG.cellml">
        <component component_ref="constants" name="constants"/>
    </import>
    <component name="environment">
        <variable name="time" public_interface="out" units="second"/>
        <!-- initial values-->
        <variable initial_value="481.46" name="q_Na_i" public_interface="out" units="fmol"/>
        <variable initial_value="725.48" name="q_Na_o" public_interface="out" units="fmol"/>
        <variable initial_value="509.2" name="q_HCO3_i" public_interface="out" units="fmol"/>
        <variable initial_value="122.295" name="q_HCO3_o" public_interface="out" units="fmol"/>
        <!-- From submodule-->
        <variable name="v_R61_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R12_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R23_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R34_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R45_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R56_NBC" public_interface="in" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Na_i</ci>
                </apply>
                <ci>v_R56_NBC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Na_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R12_NBC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_HCO3_i</ci>
                </apply>
                <ci>v_R45_NBC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_HCO3_o</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R23_NBC</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="NBC_parameters">
        <variable initial_value="5.50382" name="kappa_R61_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="956450" name="kappa_R12_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="359017" name="kappa_R23_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="3.81848" name="kappa_R34_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.00628833" name="kappa_R45_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="16939.1" name="kappa_R56_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.857619" name="K_Na_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0198297" name="K_Na_o" public_interface="out" units="per_fmol"/>
        <variable initial_value="14.556" name="K_HCO3_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.000105565" name="K_HCO3_o" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.267757" name="K_S1_NBC" public_interface="out" units="per_fmol"/>
        <variable initial_value="133.993" name="K_S2_NBC" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.000587862" name="K_S3_NBC" public_interface="out" units="per_fmol"/>
        <variable initial_value="33562.6" name="K_S4_NBC" public_interface="out" units="per_fmol"/>
        <variable initial_value="7565.8" name="K_S5_NBC" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0476703" name="K_S6_NBC" public_interface="out" units="per_fmol"/>
    </component>
    <component name="NBC">
        <variable name="time" public_interface="in" units="second"/>
        <variable name="R" public_interface="in" units="J_per_K_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <!-- parameters-->
        <variable name="kappa_R61_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R12_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R23_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R34_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R45_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R56_NBC" public_interface="in" units="fmol_per_sec"/>
        <variable name="K_Na_i" public_interface="in" units="per_fmol"/>
        <variable name="K_Na_o" public_interface="in" units="per_fmol"/>
        <variable name="K_HCO3_i" public_interface="in" units="per_fmol"/>
        <variable name="K_HCO3_o" public_interface="in" units="per_fmol"/>
        <variable name="K_S1_NBC" public_interface="in" units="per_fmol"/>
        <variable name="K_S2_NBC" public_interface="in" units="per_fmol"/>
        <variable name="K_S3_NBC" public_interface="in" units="per_fmol"/>
        <variable name="K_S4_NBC" public_interface="in" units="per_fmol"/>
        <variable name="K_S5_NBC" public_interface="in" units="per_fmol"/>
        <variable name="K_S6_NBC" public_interface="in" units="per_fmol"/>
        <!-- Input from global environment-->
        <variable name="q_Na_i" public_interface="in" units="fmol"/>
        <variable name="q_Na_o" public_interface="in" units="fmol"/>
        <variable name="q_HCO3_i" public_interface="in" units="fmol"/>
        <variable name="q_HCO3_o" public_interface="in" units="fmol"/>
        <variable initial_value="1.666e-4" name="q_S1_NBC" units="fmol"/>
        <variable initial_value="1.666e-4" name="q_S2_NBC" units="fmol"/>
        <variable initial_value="1.666e-4" name="q_S3_NBC" units="fmol"/>
        <variable initial_value="1.666e-4" name="q_S4_NBC" units="fmol"/>
        <variable initial_value="1.666e-4" name="q_S5_NBC" units="fmol"/>
        <variable initial_value="1.666e-4" name="q_S6_NBC" units="fmol"/>
        <!-- Constitutive parameters-->
        <variable name="mu_Na_i" units="J_per_mol"/>
        <variable name="mu_Na_o" units="J_per_mol"/>
        <variable name="mu_HCO3_i" units="J_per_mol"/>
        <variable name="mu_HCO3_o" units="J_per_mol"/>
        <variable name="mu_S1_NBC" units="J_per_mol"/>
        <variable name="mu_S2_NBC" units="J_per_mol"/>
        <variable name="mu_S3_NBC" units="J_per_mol"/>
        <variable name="mu_S4_NBC" units="J_per_mol"/>
        <variable name="mu_S5_NBC" units="J_per_mol"/>
        <variable name="mu_S6_NBC" units="J_per_mol"/>
        <variable name="v_R61_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R12_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R23_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R34_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R45_NBC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R56_NBC" public_interface="out" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_Na_i</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Na_i</ci>
                            <ci>q_Na_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Na_o</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Na_o</ci>
                            <ci>q_Na_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_HCO3_i</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_HCO3_i</ci>
                            <ci>q_HCO3_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_HCO3_o</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_HCO3_o</ci>
                            <ci>q_HCO3_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S1_NBC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S1_NBC</ci>
                            <ci>q_S1_NBC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S2_NBC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S2_NBC</ci>
                            <ci>q_S2_NBC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S3_NBC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S3_NBC</ci>
                            <ci>q_S3_NBC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S4_NBC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S4_NBC</ci>
                            <ci>q_S4_NBC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S5_NBC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S5_NBC</ci>
                            <ci>q_S5_NBC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S6_NBC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S6_NBC</ci>
                            <ci>q_S6_NBC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R61_NBC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R61_NBC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_S6_NBC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_S1_NBC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R12_NBC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R12_NBC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_Na_o</ci>
                                    <ci>mu_S1_NBC</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_S2_NBC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R23_NBC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R23_NBC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_HCO3_o</ci>
                                    <ci>mu_S2_NBC</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_S3_NBC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R34_NBC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R34_NBC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_S3_NBC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_S4_NBC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R45_NBC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R45_NBC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_S4_NBC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_S5_NBC</ci>
                                    <ci>mu_HCO3_i</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R56_NBC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R56_NBC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_S5_NBC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_S6_NBC</ci>
                                    <ci>mu_Na_i</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_S1_NBC</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R61_NBC</ci>
                    <ci>v_R12_NBC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_S2_NBC</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R12_NBC</ci>
                    <ci>v_R23_NBC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_S3_NBC</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R23_NBC</ci>
                    <ci>v_R34_NBC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_S4_NBC</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R34_NBC</ci>
                    <ci>v_R45_NBC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_S5_NBC</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R45_NBC</ci>
                    <ci>v_R56_NBC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_S6_NBC</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R56_NBC</ci>
                    <ci>v_R61_NBC</ci>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="environment" component_2="NBC"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="q_Na_i" variable_2="q_Na_i"/>
        <map_variables variable_1="q_Na_o" variable_2="q_Na_o"/>
        <map_variables variable_1="q_HCO3_i" variable_2="q_HCO3_i"/>
        <map_variables variable_1="q_HCO3_o" variable_2="q_HCO3_o"/>
        <map_variables variable_1="v_R61_NBC" variable_2="v_R61_NBC"/>
        <map_variables variable_1="v_R12_NBC" variable_2="v_R12_NBC"/>
        <map_variables variable_1="v_R23_NBC" variable_2="v_R23_NBC"/>
        <map_variables variable_1="v_R34_NBC" variable_2="v_R34_NBC"/>
        <map_variables variable_1="v_R45_NBC" variable_2="v_R45_NBC"/>
        <map_variables variable_1="v_R56_NBC" variable_2="v_R56_NBC"/>
    </connection>
    <connection>
        <map_components component_1="NBC" component_2="NBC_parameters"/>
        <map_variables variable_1="kappa_R61_NBC" variable_2="kappa_R61_NBC"/>
        <map_variables variable_1="kappa_R12_NBC" variable_2="kappa_R12_NBC"/>
        <map_variables variable_1="kappa_R23_NBC" variable_2="kappa_R23_NBC"/>
        <map_variables variable_1="kappa_R34_NBC" variable_2="kappa_R34_NBC"/>
        <map_variables variable_1="kappa_R45_NBC" variable_2="kappa_R45_NBC"/>
        <map_variables variable_1="kappa_R56_NBC" variable_2="kappa_R56_NBC"/>
        <map_variables variable_1="K_Na_i" variable_2="K_Na_i"/>
        <map_variables variable_1="K_Na_o" variable_2="K_Na_o"/>
        <map_variables variable_1="K_HCO3_i" variable_2="K_HCO3_i"/>
        <map_variables variable_1="K_HCO3_o" variable_2="K_HCO3_o"/>
        <map_variables variable_1="K_S1_NBC" variable_2="K_S1_NBC"/>
        <map_variables variable_1="K_S2_NBC" variable_2="K_S2_NBC"/>
        <map_variables variable_1="K_S3_NBC" variable_2="K_S3_NBC"/>
        <map_variables variable_1="K_S4_NBC" variable_2="K_S4_NBC"/>
        <map_variables variable_1="K_S5_NBC" variable_2="K_S5_NBC"/>
        <map_variables variable_1="K_S6_NBC" variable_2="K_S6_NBC"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="NBC"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
</model>