Location: BG_RTK @ 63e22e220cd7 / BG_RTK.cellml

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2023-09-26 13:46:58+13:00
Desc:
typo
Permanent Source URI:
https://models.cellml.org/workspace/b2d/rawfile/63e22e220cd72b731c87ae9c3675a3643840c0fa/BG_RTK.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="individual_RTK" 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="fA" units_ref="fA"/>
        <units name="per_second" units_ref="per_second"/>
        <units name="millivolt" units_ref="millivolt"/>
        <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="fmol_per_L_per_sec" units_ref="fmol_per_L_per_sec"/>
        <units name="per_sec_per_fmol_per_L" units_ref="per_sec_per_fmol_per_L"/>
        <units name="uM" units_ref="uM"/>
        <units name="mM_per_sec" units_ref="mM_per_sec"/>
        <units name="uM_per_sec" units_ref="uM_per_sec"/>
        <units name="pL" units_ref="pL"/>
        <units name="m_to_u" units_ref="m_to_u"/>
    </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="1" name="q_L" public_interface="out" units="fmol"/>
        <variable initial_value="1e-3" name="q_K1" public_interface="out" units="fmol"/>
        <variable initial_value="1e-3" name="q_K2" public_interface="out" units="fmol"/>
        <variable initial_value="1e-6" name="q_LK1" public_interface="out" units="fmol"/>
        <variable initial_value="1e-9" name="q_K2P" public_interface="out" units="fmol"/>
        <variable initial_value="1" name="q_P" public_interface="out" units="fmol"/>
        <variable initial_value="1e-9" name="q_LK1K2" public_interface="out" units="fmol"/>
        <!-- From submodule-->
        <variable name="v_Re1" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Re2" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Re3" 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_L</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_K1</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_K2</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_LK1</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_Re1</ci>
                        <ci>v_Re2</ci>
                    </apply>
                    <ci>v_Re3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_K2P</ci>
                </apply>
                <ci>v_Re3</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_P</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re3</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_LK1K2</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_Re2</ci>
                    <ci>v_Re3</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="RTK_parameters">
        <variable initial_value="0.000186898" name="kappa_Re1" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.0125535" name="kappa_Re2" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="132.879" name="kappa_Re3" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="197.162" name="K_L" public_interface="out" units="per_fmol"/>
        <variable initial_value="197.162" name="K_K1" public_interface="out" units="per_fmol"/>
        <variable initial_value="4.01297e+09" name="K_K2" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.00144219" name="K_LK1" public_interface="out" units="per_fmol"/>
        <variable initial_value="3.79118e-07" name="K_K2P" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.54645e+07" name="K_P" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.14714e-05" name="K_LK1K2" public_interface="out" units="per_fmol"/>
    </component>
    <component name="RTK">
        <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_Re1" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_Re2" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_Re3" public_interface="in" units="fmol_per_sec"/>
        <variable name="K_L" public_interface="in" units="per_fmol"/>
        <variable name="K_K1" public_interface="in" units="per_fmol"/>
        <variable name="K_K2" public_interface="in" units="per_fmol"/>
        <variable name="K_LK1" public_interface="in" units="per_fmol"/>
        <variable name="K_K2P" public_interface="in" units="per_fmol"/>
        <variable name="K_P" public_interface="in" units="per_fmol"/>
        <variable name="K_LK1K2" public_interface="in" units="per_fmol"/>
        <!-- Input from global environment-->
        <variable name="q_L" public_interface="in" units="fmol"/>
        <variable name="q_K1" public_interface="in" units="fmol"/>
        <variable name="q_K2" public_interface="in" units="fmol"/>
        <variable name="q_LK1" public_interface="in" units="fmol"/>
        <variable name="q_K2P" public_interface="in" units="fmol"/>
        <variable name="q_P" public_interface="in" units="fmol"/>
        <variable name="q_LK1K2" public_interface="in" units="fmol"/>
        <!-- Constitutive parameters-->
        <variable name="mu_L" units="J_per_mol"/>
        <variable name="mu_K1" units="J_per_mol"/>
        <variable name="mu_K2" units="J_per_mol"/>
        <variable name="mu_LK1" units="J_per_mol"/>
        <variable name="mu_K2P" units="J_per_mol"/>
        <variable name="mu_P" units="J_per_mol"/>
        <variable name="mu_LK1K2" units="J_per_mol"/>
        <variable name="v_Re1" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_Re2" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_Re3" public_interface="out" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_L</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_L</ci>
                            <ci>q_L</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_K1</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_K1</ci>
                            <ci>q_K1</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_K2</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_K2</ci>
                            <ci>q_K2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_LK1</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_LK1</ci>
                            <ci>q_LK1</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_K2P</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_K2P</ci>
                            <ci>q_K2P</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_P</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_P</ci>
                            <ci>q_P</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_LK1K2</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_LK1K2</ci>
                            <ci>q_LK1K2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re1</ci>
                <apply>
                    <times/>
                    <ci>kappa_Re1</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_L</ci>
                                    <ci>mu_K1</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_LK1</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re2</ci>
                <apply>
                    <times/>
                    <ci>kappa_Re2</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_LK1</ci>
                                    <ci>mu_K2</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_LK1K2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_Re3</ci>
                <apply>
                    <times/>
                    <ci>kappa_Re3</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_P</ci>
                                    <ci>mu_LK1K2</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_LK1</ci>
                                    <ci>mu_K2P</ci>
                                </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="RTK"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="q_L" variable_2="q_L"/>
        <map_variables variable_1="q_K1" variable_2="q_K1"/>
        <map_variables variable_1="q_K2" variable_2="q_K2"/>
        <map_variables variable_1="q_LK1" variable_2="q_LK1"/>
        <map_variables variable_1="q_K2P" variable_2="q_K2P"/>
        <map_variables variable_1="q_P" variable_2="q_P"/>
        <map_variables variable_1="q_LK1K2" variable_2="q_LK1K2"/>
        <map_variables variable_1="v_Re1" variable_2="v_Re1"/>
        <map_variables variable_1="v_Re2" variable_2="v_Re2"/>
        <map_variables variable_1="v_Re3" variable_2="v_Re3"/>
    </connection>
    <connection>
        <map_components component_1="RTK" component_2="RTK_parameters"/>
        <map_variables variable_1="kappa_Re1" variable_2="kappa_Re1"/>
        <map_variables variable_1="kappa_Re2" variable_2="kappa_Re2"/>
        <map_variables variable_1="kappa_Re3" variable_2="kappa_Re3"/>
        <map_variables variable_1="K_L" variable_2="K_L"/>
        <map_variables variable_1="K_K1" variable_2="K_K1"/>
        <map_variables variable_1="K_K2" variable_2="K_K2"/>
        <map_variables variable_1="K_LK1" variable_2="K_LK1"/>
        <map_variables variable_1="K_K2P" variable_2="K_K2P"/>
        <map_variables variable_1="K_P" variable_2="K_P"/>
        <map_variables variable_1="K_LK1K2" variable_2="K_LK1K2"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="RTK"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
</model>