Location: BG_PLC @ 9f01dd90e11b / BG_PLC.cellml

Author:
Shelley Fong <s.fong@auckland.ac.nz>
Date:
2022-04-29 16:57:38+12:00
Desc:
With parameters found from kinetic, and equations established for network in BG sense, coded in cellml
Permanent Source URI:
https://models.physiomeproject.org/workspace/848/rawfile/9f01dd90e11bc315052149c7a5db8e1fa35bd68b/BG_PLC.cellml

<?xml version='1.0' encoding='UTF-8'?>
<!-- Bond graph script of PLC metabolism network, based on Bhalla and Iyengar 1999-->
<model name="BG_PLC_model" 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="J_per_K_per_mol" units_ref="J_per_K_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="fF" units_ref="fF"/>
        <units name="fC" units_ref="fC"/>
        <units name="fA" units_ref="fA"/>
        <units name="pL" units_ref="pL"/>
    </import>
    <import xlink:href="units_and_constants/constants_BG.cellml">
        <component component_ref="constants" name="constants"/>
    </import>
    <component name="environment">
        <variable name="time" public_interface="out" units="second"/>
        <variable initial_value="38" name="vol_myo" units="pL"/>
        <variable initial_value="0" name="q_DAG" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="q_PC" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="q_IP3" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="q_Ino" public_interface="out" units="fmol"/>
        <variable initial_value="30.4" name="q_PLC" public_interface="out" units="fmol"/>
        <variable initial_value="38" name="q_Gq" public_interface="out" units="fmol"/>
        <variable initial_value="38" name="q_Ca" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="q_Gq_PLC" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="q_Ca_PLC" public_interface="out" units="fmol"/>
        <variable initial_value="38" name="q_Ca_Gq_PLC" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="q_G_GDP" public_interface="out" units="fmol"/>
        <variable initial_value="380" name="q_PIP2" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="q_CaPLC_PIP2" public_interface="out" units="fmol"/>
        <variable initial_value="0" name="q_CaGqPLC_PIP2" public_interface="out" units="fmol"/>
        <variable name="v_R0_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R1_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R2a_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R2b_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R3a_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R3b_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R4_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R5_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R6_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R7_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_R8_PLC" 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_DAG</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>v_R2b_PLC</ci>
                        <ci>v_R3b_PLC</ci>
                    </apply>
                    <ci>v_R0_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_PC</ci>
                </apply>
                <ci>v_R0_PLC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_IP3</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>v_R2b_PLC</ci>
                        <ci>v_R3b_PLC</ci>
                    </apply>
                    <ci>v_R1_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Ino</ci>
                </apply>
                <ci>v_R1_PLC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_PLC</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_R4_PLC</ci>
                    </apply>
                    <ci>v_R5_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Gq</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_R5_PLC</ci>
                    </apply>
                    <ci>v_R7_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Ca</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_R4_PLC</ci>
                    </apply>
                    <ci>v_R6_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Gq_PLC</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R5_PLC</ci>
                    <ci>v_R6_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Ca_PLC</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_R2a_PLC</ci>
                    </apply>
                    <ci>v_R2b_PLC</ci>
                    <ci>v_R4_PLC</ci>
                    <ci>v_R7_PLC</ci>
                    <ci>v_R8_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Ca_Gq_PLC</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <ci>v_R3a_PLC</ci>
                            </apply>
                            <ci>v_R3b_PLC</ci>
                            <ci>v_R6_PLC</ci>
                        </apply>
                        <ci>v_R7_PLC</ci>
                    </apply>
                    <ci>v_R8_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_G_GDP</ci>
                </apply>
                <ci>v_R8_PLC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_PIP2</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_R2a_PLC</ci>
                    </apply>
                    <ci>v_R3a_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_CaPLC_PIP2</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R2a_PLC</ci>
                    <ci>v_R2b_PLC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_CaGqPLC_PIP2</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_R3a_PLC</ci>
                    <ci>v_R3b_PLC</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="PLC_parameters">
        <variable initial_value="0.0475807" name="kappa_R0_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.121538" name="kappa_R1_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="70395.1" name="kappa_R2a_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="2.70328" name="kappa_R2b_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="10988.5" name="kappa_R3a_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.00553812" name="kappa_R3b_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="4.56488" name="kappa_R4_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="3.86201" name="kappa_R5_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.71257" name="kappa_R6_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="2.99279e-05" name="kappa_R7_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.00947718" name="kappa_R8_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.849741" name="K_DAG" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.00566494" name="K_PC" public_interface="out" units="per_fmol"/>
        <variable initial_value="5.54437" name="K_IP3" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.00221775" name="K_Ino" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.00108946" name="K_PLC" public_interface="out" units="per_fmol"/>
        <variable initial_value="7.25233e-05" name="K_Gq" public_interface="out" units="per_fmol"/>
        <variable initial_value="7.30437e-05" name="K_Ca" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0697931" name="K_Gq_PLC" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0590468" name="K_Ca_PLC" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.378267" name="K_Ca_Gq_PLC" public_interface="out" units="per_fmol"/>
        <variable initial_value="7.25233e-05" name="K_G_GDP" public_interface="out" units="per_fmol"/>
        <variable initial_value="17.4789" name="K_PIP2" public_interface="out" units="per_fmol"/>
        <variable initial_value="19.1442" name="K_CaPLC_PIP2" public_interface="out" units="per_fmol"/>
        <variable initial_value="486.703" name="K_CaGqPLC_PIP2" public_interface="out" units="per_fmol"/>
    </component>
    <component name="PLC">
        <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_R0_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R1_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R2a_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R2b_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R3a_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R3b_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R4_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R5_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R6_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R7_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_R8_PLC" public_interface="in" units="fmol_per_sec"/>
        <variable name="K_DAG" public_interface="in" units="per_fmol"/>
        <variable name="K_PC" public_interface="in" units="per_fmol"/>
        <variable name="K_IP3" public_interface="in" units="per_fmol"/>
        <variable name="K_Ino" public_interface="in" units="per_fmol"/>
        <variable name="K_PLC" public_interface="in" units="per_fmol"/>
        <variable name="K_Gq" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca" public_interface="in" units="per_fmol"/>
        <variable name="K_Gq_PLC" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca_PLC" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca_Gq_PLC" public_interface="in" units="per_fmol"/>
        <variable name="K_G_GDP" public_interface="in" units="per_fmol"/>
        <variable name="K_PIP2" public_interface="in" units="per_fmol"/>
        <variable name="K_CaPLC_PIP2" public_interface="in" units="per_fmol"/>
        <variable name="K_CaGqPLC_PIP2" public_interface="in" units="per_fmol"/>
        <!-- state variables-->
        <variable name="q_DAG" public_interface="in" units="fmol"/>
        <variable name="q_PC" public_interface="in" units="fmol"/>
        <variable name="q_IP3" public_interface="in" units="fmol"/>
        <variable name="q_Ino" public_interface="in" units="fmol"/>
        <variable name="q_PLC" public_interface="in" units="fmol"/>
        <variable name="q_Gq" public_interface="in" units="fmol"/>
        <variable name="q_Ca" public_interface="in" units="fmol"/>
        <variable name="q_Gq_PLC" public_interface="in" units="fmol"/>
        <variable name="q_Ca_PLC" public_interface="in" units="fmol"/>
        <variable name="q_Ca_Gq_PLC" public_interface="in" units="fmol"/>
        <variable name="q_G_GDP" public_interface="in" units="fmol"/>
        <variable name="q_PIP2" public_interface="in" units="fmol"/>
        <variable name="q_CaPLC_PIP2" public_interface="in" units="fmol"/>
        <variable name="q_CaGqPLC_PIP2" public_interface="in" units="fmol"/>
        <!-- Constitutive parameters-->
        <variable name="mu_DAG" units="J_per_mol"/>
        <variable name="mu_PC" units="J_per_mol"/>
        <variable name="mu_IP3" units="J_per_mol"/>
        <variable name="mu_Ino" units="J_per_mol"/>
        <variable name="mu_PLC" units="J_per_mol"/>
        <variable name="mu_Gq" units="J_per_mol"/>
        <variable name="mu_Ca" units="J_per_mol"/>
        <variable name="mu_Gq_PLC" units="J_per_mol"/>
        <variable name="mu_Ca_PLC" units="J_per_mol"/>
        <variable name="mu_Ca_Gq_PLC" units="J_per_mol"/>
        <variable name="mu_G_GDP" units="J_per_mol"/>
        <variable name="mu_PIP2" units="J_per_mol"/>
        <variable name="mu_CaPLC_PIP2" units="J_per_mol"/>
        <variable name="mu_CaGqPLC_PIP2" units="J_per_mol"/>
        <variable name="v_R0_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R1_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R2a_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R2b_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R3a_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R3b_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R4_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R5_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R6_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R7_PLC" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_R8_PLC" public_interface="out" units="fmol_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_DAG</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_DAG</ci>
                            <ci>q_DAG</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_PC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_PC</ci>
                            <ci>q_PC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_IP3</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_IP3</ci>
                            <ci>q_IP3</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ino</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ino</ci>
                            <ci>q_Ino</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_PLC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_PLC</ci>
                            <ci>q_PLC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Gq</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Gq</ci>
                            <ci>q_Gq</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ca</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ca</ci>
                            <ci>q_Ca</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Gq_PLC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Gq_PLC</ci>
                            <ci>q_Gq_PLC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ca_PLC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ca_PLC</ci>
                            <ci>q_Ca_PLC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ca_Gq_PLC</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ca_Gq_PLC</ci>
                            <ci>q_Ca_Gq_PLC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_G_GDP</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_G_GDP</ci>
                            <ci>q_G_GDP</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_PIP2</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_PIP2</ci>
                            <ci>q_PIP2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_CaPLC_PIP2</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_CaPLC_PIP2</ci>
                            <ci>q_CaPLC_PIP2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_CaGqPLC_PIP2</ci>
                <apply>
                    <times/>
                    <ci>R</ci>
                    <ci>T</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_CaGqPLC_PIP2</ci>
                            <ci>q_CaGqPLC_PIP2</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R0_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R0_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_DAG</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_PC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R1_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R1_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_IP3</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Ino</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R2a_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R2a_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_PIP2</ci>
                                    <ci>mu_Ca_PLC</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_CaPLC_PIP2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R2b_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R2b_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_CaPLC_PIP2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_DAG</ci>
                                    <ci>mu_IP3</ci>
                                    <ci>mu_Ca_PLC</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R3a_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R3a_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_PIP2</ci>
                                    <ci>mu_Ca_Gq_PLC</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_CaGqPLC_PIP2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R3b_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R3b_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_CaGqPLC_PIP2</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_DAG</ci>
                                    <ci>mu_IP3</ci>
                                    <ci>mu_Ca_Gq_PLC</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R4_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R4_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_PLC</ci>
                                    <ci>mu_Ca</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Ca_PLC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R5_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R5_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_PLC</ci>
                                    <ci>mu_Gq</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Gq_PLC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R6_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R6_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_Gq_PLC</ci>
                                    <ci>mu_Ca</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Ca_Gq_PLC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R7_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R7_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Ca_Gq_PLC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_Gq</ci>
                                    <ci>mu_Ca_PLC</ci>
                                </apply>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_R8_PLC</ci>
                <apply>
                    <times/>
                    <ci>kappa_R8_PLC</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>mu_Ca_Gq_PLC</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <apply>
                                    <plus/>
                                    <ci>mu_G_GDP</ci>
                                    <ci>mu_Ca_PLC</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="PLC"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="q_DAG" variable_2="q_DAG"/>
        <map_variables variable_1="q_PC" variable_2="q_PC"/>
        <map_variables variable_1="q_IP3" variable_2="q_IP3"/>
        <map_variables variable_1="q_Ino" variable_2="q_Ino"/>
        <map_variables variable_1="q_PLC" variable_2="q_PLC"/>
        <map_variables variable_1="q_Gq" variable_2="q_Gq"/>
        <map_variables variable_1="q_Ca" variable_2="q_Ca"/>
        <map_variables variable_1="q_Gq_PLC" variable_2="q_Gq_PLC"/>
        <map_variables variable_1="q_Ca_PLC" variable_2="q_Ca_PLC"/>
        <map_variables variable_1="q_Ca_Gq_PLC" variable_2="q_Ca_Gq_PLC"/>
        <map_variables variable_1="q_G_GDP" variable_2="q_G_GDP"/>
        <map_variables variable_1="q_PIP2" variable_2="q_PIP2"/>
        <map_variables variable_1="q_CaPLC_PIP2" variable_2="q_CaPLC_PIP2"/>
        <map_variables variable_1="q_CaGqPLC_PIP2" variable_2="q_CaGqPLC_PIP2"/>
        <map_variables variable_1="v_R0_PLC" variable_2="v_R0_PLC"/>
        <map_variables variable_1="v_R1_PLC" variable_2="v_R1_PLC"/>
        <map_variables variable_1="v_R2a_PLC" variable_2="v_R2a_PLC"/>
        <map_variables variable_1="v_R2b_PLC" variable_2="v_R2b_PLC"/>
        <map_variables variable_1="v_R3a_PLC" variable_2="v_R3a_PLC"/>
        <map_variables variable_1="v_R3b_PLC" variable_2="v_R3b_PLC"/>
        <map_variables variable_1="v_R4_PLC" variable_2="v_R4_PLC"/>
        <map_variables variable_1="v_R5_PLC" variable_2="v_R5_PLC"/>
        <map_variables variable_1="v_R6_PLC" variable_2="v_R6_PLC"/>
        <map_variables variable_1="v_R7_PLC" variable_2="v_R7_PLC"/>
        <map_variables variable_1="v_R8_PLC" variable_2="v_R8_PLC"/>
    </connection>
    <connection>
        <map_components component_1="PLC" component_2="PLC_parameters"/>
        <map_variables variable_1="kappa_R0_PLC" variable_2="kappa_R0_PLC"/>
        <map_variables variable_1="kappa_R1_PLC" variable_2="kappa_R1_PLC"/>
        <map_variables variable_1="kappa_R2a_PLC" variable_2="kappa_R2a_PLC"/>
        <map_variables variable_1="kappa_R2b_PLC" variable_2="kappa_R2b_PLC"/>
        <map_variables variable_1="kappa_R3a_PLC" variable_2="kappa_R3a_PLC"/>
        <map_variables variable_1="kappa_R3b_PLC" variable_2="kappa_R3b_PLC"/>
        <map_variables variable_1="kappa_R4_PLC" variable_2="kappa_R4_PLC"/>
        <map_variables variable_1="kappa_R5_PLC" variable_2="kappa_R5_PLC"/>
        <map_variables variable_1="kappa_R6_PLC" variable_2="kappa_R6_PLC"/>
        <map_variables variable_1="kappa_R7_PLC" variable_2="kappa_R7_PLC"/>
        <map_variables variable_1="kappa_R8_PLC" variable_2="kappa_R8_PLC"/>
        <map_variables variable_1="K_DAG" variable_2="K_DAG"/>
        <map_variables variable_1="K_PC" variable_2="K_PC"/>
        <map_variables variable_1="K_IP3" variable_2="K_IP3"/>
        <map_variables variable_1="K_Ino" variable_2="K_Ino"/>
        <map_variables variable_1="K_PLC" variable_2="K_PLC"/>
        <map_variables variable_1="K_Gq" variable_2="K_Gq"/>
        <map_variables variable_1="K_Ca" variable_2="K_Ca"/>
        <map_variables variable_1="K_Gq_PLC" variable_2="K_Gq_PLC"/>
        <map_variables variable_1="K_Ca_PLC" variable_2="K_Ca_PLC"/>
        <map_variables variable_1="K_Ca_Gq_PLC" variable_2="K_Ca_Gq_PLC"/>
        <map_variables variable_1="K_G_GDP" variable_2="K_G_GDP"/>
        <map_variables variable_1="K_PIP2" variable_2="K_PIP2"/>
        <map_variables variable_1="K_CaPLC_PIP2" variable_2="K_CaPLC_PIP2"/>
        <map_variables variable_1="K_CaGqPLC_PIP2" variable_2="K_CaGqPLC_PIP2"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="PLC"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
</model>