Location: BG_cAMP @ c68eb6e8bb92 / BG_cAMP.cellml

Author:
Shelley Fong <s.fong@auckland.ac.nz>
Date:
2022-02-18 09:51:41+13:00
Desc:
Updating way cellml is written
Permanent Source URI:
https://models.cellml.org/workspace/674/rawfile/c68eb6e8bb923a34a47d383069914fe831c6e206/BG_cAMP.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="individual_cAMP" 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="190" name="q_ATP" public_interface="out" units="fmol"/>
        <variable initial_value="1.889E-03" name="q_AC" public_interface="out" units="fmol"/>
        <variable initial_value="3.212E-02" name="q_cAMP" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_AC_ATP" public_interface="out" units="fmol"/>
        <variable initial_value="3.8e-5" name="q_FSK" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_FSK_AC" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_FSK_AC_ATP" public_interface="out" units="fmol"/>
        <variable initial_value="9.519E-04" name="q_Gsa_GTP" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_Gsa_GTP_AC" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_Gsa_GTP_AC_ATP" public_interface="out" units="fmol"/>
        <variable initial_value="1.482E-03" name="q_PDE" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_PDEinh" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_PDE_cAMP" public_interface="out" units="fmol"/>
        <variable initial_value="3.80E-06" name="q_IBMX" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_five_AMP" public_interface="out" units="fmol"/>
        <variable initial_value="4.81E-04" name="q_Gia_GTP" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_ACinh" public_interface="out" units="fmol"/>
        <variable initial_value="1e-18" name="q_PPi" public_interface="out" units="fmol"/>
        <!-- From submodule-->
        <variable name="v_1a" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_1b" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_2a" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_2b" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_3a" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_3b" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_4a" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_4b" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_5" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_6" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_7" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_GiAC" 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_ATP</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>v_1a</ci>
                        </apply>
                        <ci>v_3a</ci>
                    </apply>
                    <ci>v_2a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_AC</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <ci>v_1b</ci>
                                <ci>v_1a</ci>
                            </apply>
                            <ci>v_6</ci>
                        </apply>
                        <ci>v_7</ci>
                    </apply>
                    <ci>v_GiAC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_AC_ATP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_1a</ci>
                    <ci>v_1b</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_cAMP</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>v_1b</ci>
                        <ci>v_3b</ci>
                        <ci>v_2b</ci>
                    </apply>
                    <ci>v_4a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_FSK</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_7</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_FSK_AC</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>v_7</ci>
                        <ci>v_3b</ci>
                    </apply>
                    <ci>v_3a</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_FSK_AC_ATP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_3a</ci>
                    <ci>v_3b</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Gsa_GTP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_6</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Gsa_GTP_AC</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_6</ci>
                        <ci>v_2a</ci>
                    </apply>
                    <ci>v_2b</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Gsa_GTP_AC_ATP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_2a</ci>
                    <ci>v_2b</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_PDE_cAMP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_4a</ci>
                    <ci>v_4b</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_PDE</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_4b</ci>
                        <ci>v_4a</ci>
                    </apply>
                    <ci>v_5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_IBMX</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_5</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_PDEinh</ci>
                </apply>
                <ci>v_5</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_five_AMP</ci>
                </apply>
                <ci>v_4b</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Gia_GTP</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_GiAC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_ACinh</ci>
                </apply>
                <ci>v_GiAC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_PPi</ci>
                </apply>
                <ci>v_GiAC</ci>
            </apply>
        </math>
    </component>
    <component name="cAMP_parameters">
        <variable initial_value="9.47329e+06" name="kappa_1a" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.00197793" name="kappa_1b" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="176000" name="kappa_2a" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.047492" name="kappa_2b" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="5.07667e+08" name="kappa_3a" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="5.9031e-17" name="kappa_3b" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="36084.5" name="kappa_4a" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.138787" name="kappa_4b" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="751.564" name="kappa_5" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="556.617" name="kappa_6" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="160555" name="kappa_7" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="685.521" name="kappa_GiAC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="9.19362e-06" name="K_ATP" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0102598" name="K_cAMP" public_interface="out" units="per_fmol"/>
        <variable initial_value="9.02358" name="K_AC" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.93942" name="K_AC_ATP" public_interface="out" units="per_fmol"/>
        <variable initial_value="52.2258" name="K_Gsa_GTP_AC" public_interface="out" units="per_fmol"/>
        <variable initial_value="5.20284" name="K_Gsa_GTP_AC_ATP" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.181058" name="K_FSK_AC" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0492449" name="K_FSK_AC_ATP" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.28256" name="K_PDE" public_interface="out" units="per_fmol"/>
        <variable initial_value="1.04728" name="K_PDE_cAMP" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0102598" name="K_five_AMP" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.01642" name="K_IBMX" public_interface="out" units="per_fmol"/>
        <variable initial_value="38.679" name="K_PDEinh" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.420618" name="K_Gsa_GTP" public_interface="out" units="per_fmol"/>
        <variable initial_value="1.32565e-05" name="K_FSK" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.013661" name="K_Gia_GTP" public_interface="out" units="per_fmol"/>
        <variable initial_value="42.4053" name="K_ACinh" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.60488e-05" name="K_PPi" public_interface="out" units="per_fmol"/>
    </component>
    <component name="cAMP">
        <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_1a" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_1b" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_2a" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_2b" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_3a" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_3b" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_4a" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_4b" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_5" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_6" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_7" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_GiAC" public_interface="in" units="fmol_per_sec"/>
        <variable name="K_ATP" public_interface="in" units="per_fmol"/>
        <variable name="K_cAMP" public_interface="in" units="per_fmol"/>
        <variable name="K_AC" public_interface="in" units="per_fmol"/>
        <variable name="K_AC_ATP" public_interface="in" units="per_fmol"/>
        <variable name="K_Gsa_GTP_AC" public_interface="in" units="per_fmol"/>
        <variable name="K_Gsa_GTP_AC_ATP" public_interface="in" units="per_fmol"/>
        <variable name="K_FSK_AC" public_interface="in" units="per_fmol"/>
        <variable name="K_FSK_AC_ATP" public_interface="in" units="per_fmol"/>
        <variable name="K_PDE" public_interface="in" units="per_fmol"/>
        <variable name="K_PDE_cAMP" public_interface="in" units="per_fmol"/>
        <variable name="K_five_AMP" public_interface="in" units="per_fmol"/>
        <variable name="K_IBMX" public_interface="in" units="per_fmol"/>
        <variable name="K_PDEinh" public_interface="in" units="per_fmol"/>
        <variable name="K_Gsa_GTP" public_interface="in" units="per_fmol"/>
        <variable name="K_FSK" public_interface="in" units="per_fmol"/>
        <variable name="K_Gia_GTP" public_interface="in" units="per_fmol"/>
        <variable name="K_ACinh" public_interface="in" units="per_fmol"/>
        <variable name="K_PPi" public_interface="in" units="per_fmol"/>
        <!-- Input from global environment-->
        <variable name="q_ATP" public_interface="in" units="fmol"/>
        <variable name="q_cAMP" public_interface="in" units="fmol"/>
        <variable name="q_AC" public_interface="in" units="fmol"/>
        <variable name="q_AC_ATP" public_interface="in" units="fmol"/>
        <variable name="q_Gsa_GTP_AC" public_interface="in" units="fmol"/>
        <variable name="q_Gsa_GTP_AC_ATP" public_interface="in" units="fmol"/>
        <variable name="q_FSK_AC" public_interface="in" units="fmol"/>
        <variable name="q_FSK_AC_ATP" public_interface="in" units="fmol"/>
        <variable name="q_PDE" public_interface="in" units="fmol"/>
        <variable name="q_PDE_cAMP" public_interface="in" units="fmol"/>
        <variable name="q_five_AMP" public_interface="in" units="fmol"/>
        <variable name="q_IBMX" public_interface="in" units="fmol"/>
        <variable name="q_PDEinh" public_interface="in" units="fmol"/>
        <variable name="q_Gsa_GTP" public_interface="in" units="fmol"/>
        <variable name="q_FSK" public_interface="in" units="fmol"/>
        <variable name="q_Gia_GTP" public_interface="in" units="fmol"/>
        <variable name="q_ACinh" public_interface="in" units="fmol"/>
        <variable name="q_PPi" public_interface="in" units="fmol"/>
        <!-- Constitutive parameters-->
        <variable name="mu_ATP" units="J_per_mol"/>
        <variable name="mu_cAMP" units="J_per_mol"/>
        <variable name="mu_AC" units="J_per_mol"/>
        <variable name="mu_AC_ATP" units="J_per_mol"/>
        <variable name="mu_Gsa_GTP_AC" units="J_per_mol"/>
        <variable name="mu_Gsa_GTP_AC_ATP" units="J_per_mol"/>
        <variable name="mu_FSK_AC" units="J_per_mol"/>
        <variable name="mu_FSK_AC_ATP" units="J_per_mol"/>
        <variable name="mu_PDE" units="J_per_mol"/>
        <variable name="mu_PDE_cAMP" units="J_per_mol"/>
        <variable name="mu_five_AMP" units="J_per_mol"/>
        <variable name="mu_IBMX" units="J_per_mol"/>
        <variable name="mu_PDEinh" units="J_per_mol"/>
        <variable name="mu_Gsa_GTP" units="J_per_mol"/>
        <variable name="mu_FSK" units="J_per_mol"/>
        <variable name="mu_Gia_GTP" units="J_per_mol"/>
        <variable name="mu_ACinh" units="J_per_mol"/>
        <variable name="mu_PPi" units="J_per_mol"/>
        <variable name="v_1a" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_1b" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_2a" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_2b" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_3a" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_3b" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_4a" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_4b" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_5" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_6" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_7" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_GiAC" public_interface="out" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_ATP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_ATP</ci>
                            <ci>q_ATP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_cAMP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_cAMP</ci>
                            <ci>q_cAMP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_AC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_AC</ci>
                            <ci>q_AC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_AC_ATP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_AC_ATP</ci>
                            <ci>q_AC_ATP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Gsa_GTP_AC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Gsa_GTP_AC</ci>
                            <ci>q_Gsa_GTP_AC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Gsa_GTP_AC_ATP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Gsa_GTP_AC_ATP</ci>
                            <ci>q_Gsa_GTP_AC_ATP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_FSK_AC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_FSK_AC</ci>
                            <ci>q_FSK_AC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_FSK_AC_ATP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_FSK_AC_ATP</ci>
                            <ci>q_FSK_AC_ATP</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_PDE_cAMP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_PDE_cAMP</ci>
                            <ci>q_PDE_cAMP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_five_AMP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_five_AMP</ci>
                            <ci>q_five_AMP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_IBMX</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_IBMX</ci>
                            <ci>q_IBMX</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_PDEinh</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_PDEinh</ci>
                            <ci>q_PDEinh</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Gsa_GTP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Gsa_GTP</ci>
                            <ci>q_Gsa_GTP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_FSK</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_FSK</ci>
                            <ci>q_FSK</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Gia_GTP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Gia_GTP</ci>
                            <ci>q_Gia_GTP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_ACinh</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_ACinh</ci>
                            <ci>q_ACinh</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_PPi</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_PPi</ci>
                            <ci>q_PPi</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_1a</ci>
                <apply>
                    <times/>
                    <ci>kappa_1a</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_AC</ci>
                                    <ci>mu_ATP</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_AC_ATP</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_1b</ci>
                <apply>
                    <times/>
                    <ci>kappa_1b</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_AC_ATP</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_AC</ci>
                                    <ci>mu_cAMP</ci>
                                    <ci>mu_PPi</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_2a</ci>
                <apply>
                    <times/>
                    <ci>kappa_2a</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_Gsa_GTP_AC</ci>
                                    <ci>mu_ATP</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Gsa_GTP_AC_ATP</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_2b</ci>
                <apply>
                    <times/>
                    <ci>kappa_2b</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Gsa_GTP_AC_ATP</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_Gsa_GTP_AC</ci>
                                    <ci>mu_cAMP</ci>
                                    <ci>mu_PPi</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_3a</ci>
                <apply>
                    <times/>
                    <ci>kappa_3a</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_FSK_AC</ci>
                                    <ci>mu_ATP</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_FSK_AC_ATP</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_3b</ci>
                <apply>
                    <times/>
                    <ci>kappa_3b</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_FSK_AC_ATP</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_FSK_AC</ci>
                                    <ci>mu_cAMP</ci>
                                    <ci>mu_PPi</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_4a</ci>
                <apply>
                    <times/>
                    <ci>kappa_4a</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_PDE</ci>
                                    <ci>mu_cAMP</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_PDE_cAMP</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_4b</ci>
                <apply>
                    <times/>
                    <ci>kappa_4b</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_PDE_cAMP</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_PDE</ci>
                                    <ci>mu_five_AMP</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_5</ci>
                <apply>
                    <times/>
                    <ci>kappa_5</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_PDE</ci>
                                    <ci>mu_IBMX</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_PDEinh</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_6</ci>
                <apply>
                    <times/>
                    <ci>kappa_6</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_AC</ci>
                                    <ci>mu_Gsa_GTP</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Gsa_GTP_AC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_7</ci>
                <apply>
                    <times/>
                    <ci>kappa_7</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_FSK</ci>
                                    <ci>mu_AC</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_FSK_AC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_GiAC</ci>
                <apply>
                    <times/>
                    <ci>kappa_GiAC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_AC</ci>
                                    <ci>mu_Gia_GTP</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_ACinh</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="environment" component_2="cAMP"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="q_ATP" variable_2="q_ATP"/>
        <map_variables variable_1="q_cAMP" variable_2="q_cAMP"/>
        <map_variables variable_1="q_AC" variable_2="q_AC"/>
        <map_variables variable_1="q_AC_ATP" variable_2="q_AC_ATP"/>
        <map_variables variable_1="q_Gsa_GTP_AC" variable_2="q_Gsa_GTP_AC"/>
        <map_variables variable_1="q_Gsa_GTP_AC_ATP" variable_2="q_Gsa_GTP_AC_ATP"/>
        <map_variables variable_1="q_FSK_AC" variable_2="q_FSK_AC"/>
        <map_variables variable_1="q_FSK_AC_ATP" variable_2="q_FSK_AC_ATP"/>
        <map_variables variable_1="q_PDE" variable_2="q_PDE"/>
        <map_variables variable_1="q_PDE_cAMP" variable_2="q_PDE_cAMP"/>
        <map_variables variable_1="q_five_AMP" variable_2="q_five_AMP"/>
        <map_variables variable_1="q_IBMX" variable_2="q_IBMX"/>
        <map_variables variable_1="q_PDEinh" variable_2="q_PDEinh"/>
        <map_variables variable_1="q_Gsa_GTP" variable_2="q_Gsa_GTP"/>
        <map_variables variable_1="q_FSK" variable_2="q_FSK"/>
        <map_variables variable_1="q_Gia_GTP" variable_2="q_Gia_GTP"/>
        <map_variables variable_1="q_ACinh" variable_2="q_ACinh"/>
        <map_variables variable_1="q_PPi" variable_2="q_PPi"/>
        <map_variables variable_1="v_1a" variable_2="v_1a"/>
        <map_variables variable_1="v_1b" variable_2="v_1b"/>
        <map_variables variable_1="v_2a" variable_2="v_2a"/>
        <map_variables variable_1="v_2b" variable_2="v_2b"/>
        <map_variables variable_1="v_3a" variable_2="v_3a"/>
        <map_variables variable_1="v_3b" variable_2="v_3b"/>
        <map_variables variable_1="v_4a" variable_2="v_4a"/>
        <map_variables variable_1="v_4b" variable_2="v_4b"/>
        <map_variables variable_1="v_5" variable_2="v_5"/>
        <map_variables variable_1="v_6" variable_2="v_6"/>
        <map_variables variable_1="v_7" variable_2="v_7"/>
        <map_variables variable_1="v_GiAC" variable_2="v_GiAC"/>
    </connection>
    <connection>
        <map_components component_1="cAMP" component_2="cAMP_parameters"/>
        <map_variables variable_1="kappa_1a" variable_2="kappa_1a"/>
        <map_variables variable_1="kappa_1b" variable_2="kappa_1b"/>
        <map_variables variable_1="kappa_2a" variable_2="kappa_2a"/>
        <map_variables variable_1="kappa_2b" variable_2="kappa_2b"/>
        <map_variables variable_1="kappa_3a" variable_2="kappa_3a"/>
        <map_variables variable_1="kappa_3b" variable_2="kappa_3b"/>
        <map_variables variable_1="kappa_4a" variable_2="kappa_4a"/>
        <map_variables variable_1="kappa_4b" variable_2="kappa_4b"/>
        <map_variables variable_1="kappa_5" variable_2="kappa_5"/>
        <map_variables variable_1="kappa_6" variable_2="kappa_6"/>
        <map_variables variable_1="kappa_7" variable_2="kappa_7"/>
        <map_variables variable_1="kappa_GiAC" variable_2="kappa_GiAC"/>
        <map_variables variable_1="K_ATP" variable_2="K_ATP"/>
        <map_variables variable_1="K_cAMP" variable_2="K_cAMP"/>
        <map_variables variable_1="K_AC" variable_2="K_AC"/>
        <map_variables variable_1="K_AC_ATP" variable_2="K_AC_ATP"/>
        <map_variables variable_1="K_Gsa_GTP_AC" variable_2="K_Gsa_GTP_AC"/>
        <map_variables variable_1="K_Gsa_GTP_AC_ATP" variable_2="K_Gsa_GTP_AC_ATP"/>
        <map_variables variable_1="K_FSK_AC" variable_2="K_FSK_AC"/>
        <map_variables variable_1="K_FSK_AC_ATP" variable_2="K_FSK_AC_ATP"/>
        <map_variables variable_1="K_PDE" variable_2="K_PDE"/>
        <map_variables variable_1="K_PDE_cAMP" variable_2="K_PDE_cAMP"/>
        <map_variables variable_1="K_five_AMP" variable_2="K_five_AMP"/>
        <map_variables variable_1="K_IBMX" variable_2="K_IBMX"/>
        <map_variables variable_1="K_PDEinh" variable_2="K_PDEinh"/>
        <map_variables variable_1="K_Gsa_GTP" variable_2="K_Gsa_GTP"/>
        <map_variables variable_1="K_FSK" variable_2="K_FSK"/>
        <map_variables variable_1="K_Gia_GTP" variable_2="K_Gia_GTP"/>
        <map_variables variable_1="K_ACinh" variable_2="K_ACinh"/>
        <map_variables variable_1="K_PPi" variable_2="K_PPi"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="cAMP"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
</model>