Location: BG_cGMP @ 24aece6c9884 / BG_cGMP.cellml

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2022-05-10 16:23:53+12:00
Desc:
CHecking units
Permanent Source URI:
https://models.physiomeproject.org/workspace/856/rawfile/24aece6c98842718dbe9f855f50901cba1f6f049/BG_cGMP.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="individual_cGMP" 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="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
        <units name="mM_per_sec" units_ref="mM_per_sec"/>
        <units name="pL" units_ref="pL"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
    </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="1e-18" name="q_GTP" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_E5c" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_cGMP" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_PDE" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_GTP_E5c" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_cGMP_PDE" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_GMP" public_interface="out" units="fmol"/>
        <!-- From submodule-->
        <variable name="v_R_1a_cGMP" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R_1b_cGMP" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R_2a_cGMP" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R_2b_cGMP" 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_GTP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R_1a_cGMP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_E5c</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_R_1a_cGMP</ci>
                    </apply>
                    <ci>v_R_1b_cGMP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_cGMP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R_1b_cGMP</ci>
                    <ci>v_R_2a_cGMP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_PDE</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_R_2a_cGMP</ci>
                    </apply>
                    <ci>v_R_2b_cGMP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_GTP_E5c</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R_1a_cGMP</ci>
                    <ci>v_R_1b_cGMP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_cGMP_PDE</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R_2a_cGMP</ci>
                    <ci>v_R_2b_cGMP</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_GMP</ci>
                </apply>
                <ci>v_R_2b_cGMP</ci>
            </apply>
        </math>
    </component>
    <component name="cGMP_parameters">
        <variable initial_value="2183" name="kappa_R_1a_cGMP" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.0371984" name="kappa_R_1b_cGMP" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="191777" name="kappa_R_2a_cGMP" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.00186982" name="kappa_R_2b_cGMP" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="696.528" name="K_GTP" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0477814" name="K_E5c" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0408761" name="K_cGMP" public_interface="out" units="per_fmol"/>
        <variable initial_value="9.26803" name="K_PDE" public_interface="out" units="per_fmol"/>
        <variable initial_value="123.473" name="K_GTP_E5c" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.811" name="K_cGMP_PDE" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.00419242" name="K_GMP" public_interface="out" units="per_fmol"/>
    </component>
    <component name="cGMP">
        <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_R_1a_cGMP" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R_1b_cGMP" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R_2a_cGMP" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R_2b_cGMP" public_interface="in" units="fmol_per_sec"/>
        <variable name="K_GTP" public_interface="in" units="per_fmol"/>
        <variable name="K_E5c" public_interface="in" units="per_fmol"/>
        <variable name="K_cGMP" public_interface="in" units="per_fmol"/>
        <variable name="K_PDE" public_interface="in" units="per_fmol"/>
        <variable name="K_GTP_E5c" public_interface="in" units="per_fmol"/>
        <variable name="K_cGMP_PDE" public_interface="in" units="per_fmol"/>
        <variable name="K_GMP" public_interface="in" units="per_fmol"/>
        <!-- Input from global environment-->
        <variable name="q_GTP" public_interface="in" units="fmol"/>
        <variable name="q_E5c" public_interface="in" units="fmol"/>
        <variable name="q_cGMP" public_interface="in" units="fmol"/>
        <variable name="q_PDE" public_interface="in" units="fmol"/>
        <variable name="q_GTP_E5c" public_interface="in" units="fmol"/>
        <variable name="q_cGMP_PDE" public_interface="in" units="fmol"/>
        <variable name="q_GMP" public_interface="in" units="fmol"/>
        <!-- Constitutive parameters-->
        <variable name="mu_GTP" units="J_per_mol"/>
        <variable name="mu_E5c" units="J_per_mol"/>
        <variable name="mu_cGMP" units="J_per_mol"/>
        <variable name="mu_PDE" units="J_per_mol"/>
        <variable name="mu_GTP_E5c" units="J_per_mol"/>
        <variable name="mu_cGMP_PDE" units="J_per_mol"/>
        <variable name="mu_GMP" units="J_per_mol"/>
        <variable name="v_R_1a_cGMP" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R_1b_cGMP" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R_2a_cGMP" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R_2b_cGMP" public_interface="out" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_GTP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_GTP</ci>
                            <ci>q_GTP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_E5c</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_E5c</ci>
                            <ci>q_E5c</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_cGMP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_cGMP</ci>
                            <ci>q_cGMP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_PDE</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_PDE</ci>
                            <ci>q_PDE</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_GTP_E5c</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_GTP_E5c</ci>
                            <ci>q_GTP_E5c</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_cGMP_PDE</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_cGMP_PDE</ci>
                            <ci>q_cGMP_PDE</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_GMP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_GMP</ci>
                            <ci>q_GMP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R_1a_cGMP</ci>
                <apply>
                    <times/>
                    <ci>kappa_R_1a_cGMP</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_GTP</ci>
                                    <ci>mu_E5c</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_GTP_E5c</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R_1b_cGMP</ci>
                <apply>
                    <times/>
                    <ci>kappa_R_1b_cGMP</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_GTP_E5c</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_cGMP</ci>
                                    <ci>mu_E5c</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R_2a_cGMP</ci>
                <apply>
                    <times/>
                    <ci>kappa_R_2a_cGMP</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_cGMP</ci>
                                    <ci>mu_PDE</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_cGMP_PDE</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R_2b_cGMP</ci>
                <apply>
                    <times/>
                    <ci>kappa_R_2b_cGMP</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_cGMP_PDE</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_GMP</ci>
                                    <ci>mu_PDE</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="cGMP"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="q_GTP" variable_2="q_GTP"/>
        <map_variables variable_1="q_E5c" variable_2="q_E5c"/>
        <map_variables variable_1="q_cGMP" variable_2="q_cGMP"/>
        <map_variables variable_1="q_PDE" variable_2="q_PDE"/>
        <map_variables variable_1="q_GTP_E5c" variable_2="q_GTP_E5c"/>
        <map_variables variable_1="q_cGMP_PDE" variable_2="q_cGMP_PDE"/>
        <map_variables variable_1="q_GMP" variable_2="q_GMP"/>
        <map_variables variable_1="v_R_1a_cGMP" variable_2="v_R_1a_cGMP"/>
        <map_variables variable_1="v_R_1b_cGMP" variable_2="v_R_1b_cGMP"/>
        <map_variables variable_1="v_R_2a_cGMP" variable_2="v_R_2a_cGMP"/>
        <map_variables variable_1="v_R_2b_cGMP" variable_2="v_R_2b_cGMP"/>
    </connection>
    <connection>
        <map_components component_1="cGMP" component_2="cGMP_parameters"/>
        <map_variables variable_1="kappa_R_1a_cGMP" variable_2="kappa_R_1a_cGMP"/>
        <map_variables variable_1="kappa_R_1b_cGMP" variable_2="kappa_R_1b_cGMP"/>
        <map_variables variable_1="kappa_R_2a_cGMP" variable_2="kappa_R_2a_cGMP"/>
        <map_variables variable_1="kappa_R_2b_cGMP" variable_2="kappa_R_2b_cGMP"/>
        <map_variables variable_1="K_GTP" variable_2="K_GTP"/>
        <map_variables variable_1="K_E5c" variable_2="K_E5c"/>
        <map_variables variable_1="K_cGMP" variable_2="K_cGMP"/>
        <map_variables variable_1="K_PDE" variable_2="K_PDE"/>
        <map_variables variable_1="K_GTP_E5c" variable_2="K_GTP_E5c"/>
        <map_variables variable_1="K_cGMP_PDE" variable_2="K_cGMP_PDE"/>
        <map_variables variable_1="K_GMP" variable_2="K_GMP"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="cGMP"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
</model>