Location: HKE - The Physics of Physiology @ 2f86140bdd58 / BG_HKE.cellml

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2025-02-26 11:31:53+13:00
Desc:
fix readme
Permanent Source URI:
https://staging.physiomeproject.org/workspace/c96/rawfile/2f86140bdd58a4b56d058d03a638e24ff4723745/BG_HKE.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="BG_HKE" 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/units.cellml">
        <units name="fmol" units_ref="fmol"/>
        <units name="J_per_K_mol" units_ref="J_per_K_mol"/>
        <units name="fmol_per_s" units_ref="fmol_per_s"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="per_fmol" units_ref="per_fmol"/>
    </import>
    <import xlink:href="params_BG.cellml">
        <component component_ref="params_BG" name="params_BG"/>
    </import>
    <component name="BG_HKE">
        <!-- q1   &#45;&#45; E_o_Pi
 q2   &#45;&#45; E_o_K
 q3   &#45;&#45; E_i_ATP
 q4   &#45;&#45; E_i_Pi_H -->
        <variable name="t" units="second"/>
        <variable name="R" public_interface="in" units="J_per_K_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="K_Ki" public_interface="in" units="per_fmol"/>
        <variable name="K_Ko" public_interface="in" units="per_fmol"/>
        <variable name="K_Pi" public_interface="in" units="per_fmol"/>
        <variable name="K_ATPi" public_interface="in" units="per_fmol"/>
        <variable name="K_Hi" public_interface="in" units="per_fmol"/>
        <variable name="K_Ho" public_interface="in" units="per_fmol"/>
        <variable name="K_ADPi" public_interface="in" units="per_fmol"/>
        <variable name="q_init_Ki" public_interface="in" units="fmol"/>
        <variable name="q_init_Ko" public_interface="in" units="fmol"/>
        <variable name="q_init_Pi" public_interface="in" units="fmol"/>
        <variable name="q_init_ATPi" public_interface="in" units="fmol"/>
        <variable name="q_init_Hi" public_interface="in" units="fmol"/>
        <variable name="q_init_Ho" public_interface="in" units="fmol"/>
        <variable name="q_init_ADPi" public_interface="in" units="fmol"/>
        <variable name="K_1" public_interface="in" units="per_fmol"/>
        <variable name="q_init_1" public_interface="in" units="fmol"/>
        <variable name="K_2" public_interface="in" units="per_fmol"/>
        <variable name="q_init_2" public_interface="in" units="fmol"/>
        <variable name="K_3" public_interface="in" units="per_fmol"/>
        <variable name="q_init_3" public_interface="in" units="fmol"/>
        <variable name="K_4" public_interface="in" units="per_fmol"/>
        <variable name="q_init_4" public_interface="in" units="fmol"/>
        <variable name="kappa_r1" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r2" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r3" public_interface="in" units="fmol_per_s"/>
        <variable name="kappa_r4" public_interface="in" units="fmol_per_s"/>
        <variable name="mu_Ki" units="J_per_mol"/>
        <variable name="mu_Ko" units="J_per_mol"/>
        <variable name="mu_Pi" units="J_per_mol"/>
        <variable name="mu_ATPi" units="J_per_mol"/>
        <variable name="mu_Hi" units="J_per_mol"/>
        <variable name="mu_Ho" units="J_per_mol"/>
        <variable name="mu_ADPi" units="J_per_mol"/>
        <variable name="mu_1" units="J_per_mol"/>
        <variable name="v_1" units="fmol_per_s"/>
        <variable name="mu_2" units="J_per_mol"/>
        <variable name="v_2" units="fmol_per_s"/>
        <variable name="mu_3" units="J_per_mol"/>
        <variable name="v_3" units="fmol_per_s"/>
        <variable name="mu_4" units="J_per_mol"/>
        <variable name="v_4" units="fmol_per_s"/>
        <variable name="A_f_r1" units="J_per_mol"/>
        <variable name="v_r1" units="fmol_per_s"/>
        <variable name="A_r_r1" units="J_per_mol"/>
        <variable name="A_f_r2" units="J_per_mol"/>
        <variable name="v_r2" units="fmol_per_s"/>
        <variable name="A_r_r2" units="J_per_mol"/>
        <variable name="A_f_r3" units="J_per_mol"/>
        <variable name="v_r3" units="fmol_per_s"/>
        <variable name="A_r_r3" units="J_per_mol"/>
        <variable name="A_f_r4" units="J_per_mol"/>
        <variable name="v_r4" units="fmol_per_s"/>
        <variable name="A_r_r4" units="J_per_mol"/>
        <variable name="q_Ki" units="fmol"/>
        <variable name="q_Ko" units="fmol"/>
        <variable name="q_ATPi" units="fmol"/>
        <variable name="q_Pi" units="fmol"/>
        <variable name="q_Hi" units="fmol"/>
        <variable name="q_Ho" units="fmol"/>
        <variable name="q_ADPi" units="fmol"/>
        <variable initial_value="q_init_1" name="q_1" units="fmol"/>
        <variable initial_value="q_init_2" name="q_2" units="fmol"/>
        <variable initial_value="q_init_3" name="q_3" units="fmol"/>
        <variable initial_value="q_init_4" name="q_4" units="fmol"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_Ki</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ki</ci>
                            <ci>q_Ki</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ko</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ko</ci>
                            <ci>q_Ko</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Pi</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Pi</ci>
                            <ci>q_Pi</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_ATPi</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_ATPi</ci>
                            <ci>q_ATPi</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Hi</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Hi</ci>
                            <ci>q_Hi</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ho</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ho</ci>
                            <ci>q_Ho</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_ADPi</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_ADPi</ci>
                            <ci>q_ADPi</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>q_Ki</ci>
                <ci>q_init_Ki</ci>
            </apply>
            <apply>
                <eq/>
                <ci>q_Ko</ci>
                <ci>q_init_Ko</ci>
            </apply>
            <apply>
                <eq/>
                <ci>q_Pi</ci>
                <ci>q_init_Pi</ci>
            </apply>
            <apply>
                <eq/>
                <ci>q_ATPi</ci>
                <ci>q_init_ATPi</ci>
            </apply>
            <apply>
                <eq/>
                <ci>q_Hi</ci>
                <ci>q_init_Hi</ci>
            </apply>
            <apply>
                <eq/>
                <ci>q_Ho</ci>
                <ci>q_init_Ho</ci>
            </apply>
            <apply>
                <eq/>
                <ci>q_ADPi</ci>
                <ci>q_init_ADPi</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_1</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_1</ci>
                            <ci>q_1</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_1</ci>
                </apply>
                <ci>v_1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_2</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_2</ci>
                            <ci>q_2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_2</ci>
                </apply>
                <ci>v_2</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_3</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_3</ci>
                            <ci>q_3</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_3</ci>
                </apply>
                <ci>v_3</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_4</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_4</ci>
                            <ci>q_4</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_4</ci>
                </apply>
                <ci>v_4</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_r1</ci>
                <apply>
                    <times/>
                    <ci>kappa_r1</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>A_f_r1</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>A_r_r1</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_r2</ci>
                <apply>
                    <times/>
                    <ci>kappa_r2</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>A_f_r2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>A_r_r2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_r3</ci>
                <apply>
                    <times/>
                    <ci>kappa_r3</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>A_f_r3</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>A_r_r3</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_r4</ci>
                <apply>
                    <times/>
                    <ci>kappa_r4</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>A_f_r4</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>A_r_r4</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_1</ci>
                <apply>
                    <minus/>
                    <ci>v_r4</ci>
                    <ci>v_r1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_2</ci>
                <apply>
                    <minus/>
                    <ci>v_r1</ci>
                    <ci>v_r2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_3</ci>
                <apply>
                    <minus/>
                    <ci>v_r2</ci>
                    <ci>v_r3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_4</ci>
                <apply>
                    <minus/>
                    <ci>v_r3</ci>
                    <ci>v_r4</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>A_f_r1</ci>
                <apply>
                    <plus/>
                    <ci>mu_1</ci>
                    <ci>mu_Ko</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>A_r_r1</ci>
                <apply>
                    <plus/>
                    <ci>mu_2</ci>
                    <ci>mu_Pi</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>A_f_r2</ci>
                <apply>
                    <plus/>
                    <ci>mu_2</ci>
                    <ci>mu_ATPi</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>A_r_r2</ci>
                <apply>
                    <plus/>
                    <ci>mu_3</ci>
                    <ci>mu_Ki</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>A_f_r3</ci>
                <apply>
                    <plus/>
                    <ci>mu_3</ci>
                    <ci>mu_Hi</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>A_r_r3</ci>
                <apply>
                    <plus/>
                    <ci>mu_4</ci>
                    <ci>mu_ADPi</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>A_f_r4</ci>
                <ci>mu_4</ci>
            </apply>
            <apply>
                <eq/>
                <ci>A_r_r4</ci>
                <apply>
                    <plus/>
                    <ci>mu_1</ci>
                    <ci>mu_Ho</ci>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="params_BG" component_2="BG_HKE"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="K_Ki" variable_2="K_Ki"/>
        <map_variables variable_1="K_Ko" variable_2="K_Ko"/>
        <map_variables variable_1="K_Pi" variable_2="K_Pi"/>
        <map_variables variable_1="K_ATPi" variable_2="K_ATPi"/>
        <map_variables variable_1="K_Hi" variable_2="K_Hi"/>
        <map_variables variable_1="K_Ho" variable_2="K_Ho"/>
        <map_variables variable_1="K_ADPi" variable_2="K_ADPi"/>
        <map_variables variable_1="q_init_Ki" variable_2="q_init_Ki"/>
        <map_variables variable_1="q_init_Ko" variable_2="q_init_Ko"/>
        <map_variables variable_1="q_init_Pi" variable_2="q_init_Pi"/>
        <map_variables variable_1="q_init_ATPi" variable_2="q_init_ATPi"/>
        <map_variables variable_1="q_init_Hi" variable_2="q_init_Hi"/>
        <map_variables variable_1="q_init_Ho" variable_2="q_init_Ho"/>
        <map_variables variable_1="q_init_ADPi" variable_2="q_init_ADPi"/>
        <map_variables variable_1="K_1" variable_2="K_1"/>
        <map_variables variable_1="q_init_1" variable_2="q_init_1"/>
        <map_variables variable_1="K_2" variable_2="K_2"/>
        <map_variables variable_1="q_init_2" variable_2="q_init_2"/>
        <map_variables variable_1="K_3" variable_2="K_3"/>
        <map_variables variable_1="q_init_3" variable_2="q_init_3"/>
        <map_variables variable_1="K_4" variable_2="K_4"/>
        <map_variables variable_1="q_init_4" variable_2="q_init_4"/>
        <map_variables variable_1="kappa_r1" variable_2="kappa_r1"/>
        <map_variables variable_1="kappa_r2" variable_2="kappa_r2"/>
        <map_variables variable_1="kappa_r3" variable_2="kappa_r3"/>
        <map_variables variable_1="kappa_r4" variable_2="kappa_r4"/>
    </connection>
    <rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
        <rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#model">
            <bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                <dc:subject xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                    <bqs:subject_type xmlns:bqs="http://www.cellml.org/bqs/1.0#">keyword</bqs:subject_type>
                    <rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                        <rdf:Bag xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
                            <rdf:li xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">protein-modules</rdf:li>
                        </rdf:Bag>
                    </rdf:value>
                </dc:subject>
            </bqs:reference>
        </rdf:Description>
    </rdf:RDF>
</model>