Location: BG_pH_B1 @ 07344da90b8b / BG_pH_B1.cellml

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2022-05-26 09:21:36+12:00
Desc:
Change fkc to 1e9
Permanent Source URI:
https://models.physiomeproject.org/workspace/883/rawfile/07344da90b8bf0bcfa6da51f0689f8485ced7ea7/BG_pH_B1.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="individual_pH_B1" 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="J_per_C" units_ref="J_per_C"/>
        <units name="microm3" units_ref="microm3"/>
        <units name="fF" units_ref="fF"/>
        <units name="fC" units_ref="fC"/>
        <units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
        <units name="uM" units_ref="uM"/>
        <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="2.69019E-06" name="q_H_i" public_interface="out" units="fmol"/>
        <variable initial_value="3199.6" name="q_B1" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_HB1" public_interface="out" units="fmol"/>
        <!-- From submodule-->
        <variable name="v_Re_B1" 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_H_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_B1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_B1</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re_B1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_HB1</ci>
                </apply>
                <ci>v_Re_B1</ci>
            </apply>
        </math>
        <variable name="pH_i" units="dimensionless"/>
        <variable name="cH_i" units="mM"/>
        <variable initial_value="38" name="w_i" units="pL"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>cH_i</ci>
                <apply>
                    <divide/>
                    <ci>q_H_i</ci>
                    <ci>w_i</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>pH_i</ci>
                <apply>
                    <minus/>
                    <apply>
                        <log/>
                        <ci>cH_i</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="pH_B1_parameters">
        <variable initial_value="1.47711" name="kappa_Re_B1" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="5.15905" name="K_H_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.36454" name="K_B1" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.000432612" name="K_HB1" public_interface="out" units="per_fmol"/>
    </component>
    <component name="pH_B1">
        <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_Re_B1" public_interface="in" units="fmol_per_sec"/>
        <variable name="K_H_i" public_interface="in" units="per_fmol"/>
        <variable name="K_B1" public_interface="in" units="per_fmol"/>
        <variable name="K_HB1" public_interface="in" units="per_fmol"/>
        <!-- Input from global environment-->
        <variable name="q_H_i" public_interface="in" units="fmol"/>
        <variable name="q_B1" public_interface="in" units="fmol"/>
        <variable name="q_HB1" public_interface="in" units="fmol"/>
        <!-- Constitutive parameters-->
        <variable name="mu_H_i" units="J_per_mol"/>
        <variable name="mu_B1" units="J_per_mol"/>
        <variable name="mu_HB1" units="J_per_mol"/>
        <variable name="v_Re_B1" public_interface="out" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_H_i</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_H_i</ci>
                            <ci>q_H_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_B1</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_B1</ci>
                            <ci>q_B1</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_HB1</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_HB1</ci>
                            <ci>q_HB1</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re_B1</ci>
                <apply>
                    <times/>
                    <ci>kappa_Re_B1</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_H_i</ci>
                                    <ci>mu_B1</ci>
                                    <apply>
                                        <times/>
                                        <cn cellml:units="dimensionless">2</cn>
                                        <ci>mu_H_i</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_HB1</ci>
                                    <apply>
                                        <times/>
                                        <cn cellml:units="dimensionless">2</cn>
                                        <ci>mu_H_i</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="environment" component_2="pH_B1"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="q_H_i" variable_2="q_H_i"/>
        <map_variables variable_1="q_B1" variable_2="q_B1"/>
        <map_variables variable_1="q_HB1" variable_2="q_HB1"/>
        <map_variables variable_1="v_Re_B1" variable_2="v_Re_B1"/>
    </connection>
    <connection>
        <map_components component_1="pH_B1" component_2="pH_B1_parameters"/>
        <map_variables variable_1="kappa_Re_B1" variable_2="kappa_Re_B1"/>
        <map_variables variable_1="K_H_i" variable_2="K_H_i"/>
        <map_variables variable_1="K_B1" variable_2="K_B1"/>
        <map_variables variable_1="K_HB1" variable_2="K_HB1"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="pH_B1"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
</model>