Location: Smooth Muscle Cell Model @ 5e6492173917 / Main_Coupled_SMC_Model.cellml

Author:
Fariba <fbir042@aucklanduni.ac.nz>
Date:
2025-02-19 21:55:52+13:00
Desc:
Second Commit
Permanent Source URI:
https://staging.physiomeproject.org/workspace/b36/rawfile/5e6492173917e6493bb53402aa50e0eb3562601b/Main_Coupled_SMC_Model.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="Hai" 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="EC_SMC_Units.cellml">
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="first_order_rate_constant" units_ref="first_order_rate_constant"/>
        <units name="mJ_per_K_per_mol" units_ref="mJ_per_K_per_mol"/>
        <units name="M_per_cmsq" units_ref="M_per_cmsq"/>
        <units name="mV" units_ref="mV"/>
        <units name="per_sec" units_ref="per_sec"/>
        <units name="per_uM" units_ref="per_uM"/>
        <units name="per_uM2" units_ref="per_uM2"/>
        <units name="per_uM_per_sec" units_ref="per_uM_per_sec"/>
        <units name="uM" units_ref="uM"/>
        <units name="nS_per_uM" units_ref="nS_per_uM"/>
        <units name="uA_per_cmsq" units_ref="uA_per_cmsq"/>
        <units name="uM2" units_ref="uM2"/>
        <units name="umol_per_cmsq" units_ref="umol_per_cmsq"/>
        <units name="uM_per_sec" units_ref="uM_per_sec"/>
    </import>
    <import xlink:href="Intracellular_Calcium_SMC.cellml">
        <component component_ref="asm_ca" name="asm_ca"/>
        <component component_ref="ca_parameters" name="ca_parameters"/>
        <component component_ref="calcium" name="calcium"/>
    </import>
    <import xlink:href="NO_cGMP_Signalling_SMC.cellml">
        <component component_ref="sGC_SMC" name="sGC_SMC"/>
    </import>
    <import xlink:href="Coupled_Main_EC_Model.cellml">
        <component component_ref="Activation_of_G_proteins" name="Activation_of_G_proteins"/>
        <component component_ref="Activation_of_protein_kinases" name="Activation_of_protein_kinases"/>
        <component component_ref="Calcium_signalling" name="Calcium_signalling"/>
        <component component_ref="NO_production" name="NO_production"/>
        <component component_ref="Phosphorylation_and_formation_of_eNOS_complexes" name="Phosphorylation_and_formation_of_eNOS_complexes"/>
    </import>
    <component name="Environment">
        <variable initial_value="12" name="tau" public_interface="out" units="dimensionless"/>
        <variable name="time" public_interface="out" units="second"/>
    </component>
    <component name="SMC_Par">
        <variable name="Ca_in_SMC" public_interface="in" units="uM"/>
        <variable name="Ca_SR" public_interface="in" units="uM"/>
        <variable name="Ca_t" public_interface="in" units="uM"/>
        <variable name="I_ca" public_interface="in" units="uA_per_cmsq"/>
        <variable name="J_release" public_interface="in" units="uM_per_sec"/>
        <variable name="J_serca" public_interface="in" units="uM_per_sec"/>
        <variable name="J_in" public_interface="in" units="uM_per_sec"/>
        <variable name="J_pm" public_interface="in" units="uM_per_sec"/>
        <variable name="k_mlcpb" public_interface="in" units="per_sec"/>
        <variable name="k_mlcpc" public_interface="in" units="per_sec"/>
        <variable name="k_mlcpm" public_interface="in" units="uM"/>
        <variable name="P" public_interface="in" units="dimensionless"/>
        <variable name="p_agonist" public_interface="in" units="uM"/>
        <variable name="P_ipr" public_interface="in" units="dimensionless"/>
        <variable name="P_RyR" public_interface="in" units="dimensionless"/>
        <variable name="V_ca" public_interface="in" units="mV"/>
    </component>
    <component name="NO_sGC">
        <variable name="All_E5c" public_interface="in" units="uM_per_sec"/>
        <variable name="cGMP_EC" public_interface="in" units="uM"/>
        <variable name="cGMP_SMC" public_interface="in" units="uM"/>
        <variable name="E5c" public_interface="in" units="dimensionless"/>
        <variable name="E6c" public_interface="in" units="dimensionless"/>
        <variable name="Eb" public_interface="in" units="dimensionless"/>
        <variable name="eNOS_CaM" public_interface="in" units="uM"/>
        <variable name="eNOS_CaM_star" public_interface="in" units="uM"/>
        <variable name="h2" public_interface="in" units="uM_per_sec"/>
        <variable name="h3" public_interface="in" units="uM_per_sec"/>
        <variable name="h_4" public_interface="in" units="uM_per_sec"/>
        <variable name="h_four" public_interface="in" units="per_sec"/>
        <variable name="J_dif" public_interface="out" units="uM_per_sec"/>
        <variable name="J_no" public_interface="in" units="uM_per_sec"/>
        <variable initial_value="0.1" name="k_dif" units="uM_per_sec"/>
        <variable name="Km_pde" public_interface="in" units="uM"/>
        <variable name="K_pde" public_interface="in" units="per_sec"/>
        <variable name="n_cGMPS" public_interface="in" units="dimensionless"/>
        <variable name="n_EC" public_interface="in" units="dimensionless"/>
        <variable name="n_mlcph" public_interface="in" units="dimensionless"/>
        <variable name="NO_EC" public_interface="in" units="uM"/>
        <variable name="NO_SMC" public_interface="in" units="uM"/>
        <variable name="Q_sGC" public_interface="in" units="uM_per_sec"/>
        <variable name="Q_NO" public_interface="in" units="uM_per_sec"/>
        <variable name="vd" public_interface="in" units="uM_per_sec"/>
        <variable name="vp" public_interface="in" units="uM_per_sec"/>
        <!--        var vp_EC: per_sec;-->
        <variable name="vpvd" units="uM_per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>J_dif</ci>
                <apply>
                    <times/>
                    <ci>k_dif</ci>
                    <apply>
                        <minus/>
                        <ci>NO_EC</ci>
                        <ci>NO_SMC</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>vpvd</ci>
                <apply>
                    <minus/>
                    <ci>vp</ci>
                    <ci>vd</ci>
                </apply>
            </apply>
        </math>
        <!--        vp_EC = 1.26{uM_per_sec}*(4.8e-06{uM2}+0.03533{uM}*NO_EC+sqr(NO_EC))/(0.00120016{uM2}+0.03733{uM}*NO_EC+sqr(NO_EC));-->
    </component>
    <component name="kay2">
        <variable name="k1a" public_interface="in" units="per_sec"/>
        <variable name="k2" public_interface="out" units="per_sec"/>
        <variable name="k2y" public_interface="in" units="per_sec"/>
        <variable name="k2h" public_interface="in" units="per_sec"/>
        <variable initial_value="0.88" name="k3" public_interface="out" units="first_order_rate_constant"/>
        <variable name="k_dno" public_interface="in" units="per_sec"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>k2</ci>
                <apply>
                    <plus/>
                    <ci>k2h</ci>
                    <ci>k2y</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="M">
        <variable name="AM" public_interface="in" units="dimensionless"/>
        <variable initial_value="1" name="M" public_interface="out" units="dimensionless"/>
        <variable name="Mp" public_interface="in" units="dimensionless"/>
        <variable name="k1" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k2" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k7" public_interface="in" units="first_order_rate_constant"/>
        <variable name="time" public_interface="in" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>M</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <times/>
                        <apply>
                            <minus/>
                            <ci>k1</ci>
                        </apply>
                        <ci>M</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k2</ci>
                        <ci>Mp</ci>
                    </apply>
                    <apply>
                        <times/>
                        <ci>k7</ci>
                        <ci>AM</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="Mp">
        <variable name="AMp" public_interface="in" units="dimensionless"/>
        <variable initial_value="0" name="Mp" public_interface="out" units="dimensionless"/>
        <variable name="M" public_interface="in" units="dimensionless"/>
        <variable name="k1" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k2" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k3" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k4" public_interface="in" units="first_order_rate_constant"/>
        <variable name="time" public_interface="in" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>Mp</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>k4</ci>
                            <ci>AMp</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k1</ci>
                            <ci>M</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <ci>k2</ci>
                            <ci>k3</ci>
                        </apply>
                        <ci>Mp</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="AMp">
        <variable name="AM" public_interface="in" units="dimensionless"/>
        <variable initial_value="0" name="AMp" public_interface="out" units="dimensionless"/>
        <variable name="Mp" public_interface="in" units="dimensionless"/>
        <variable name="k5" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k6" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k3" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k4" public_interface="in" units="first_order_rate_constant"/>
        <variable name="time" public_interface="in" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>AMp</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <ci>k3</ci>
                            <ci>Mp</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>k6</ci>
                            <ci>AM</ci>
                        </apply>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <ci>k4</ci>
                            <ci>k5</ci>
                        </apply>
                        <ci>AMp</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="AM">
        <variable initial_value="0" name="AM" public_interface="out" units="dimensionless"/>
        <variable name="AMp" public_interface="in" units="dimensionless"/>
        <variable name="k5" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k6" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k7" public_interface="in" units="first_order_rate_constant"/>
        <variable name="time" public_interface="in" units="second"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>AM</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <times/>
                        <ci>k5</ci>
                        <ci>AMp</ci>
                    </apply>
                    <apply>
                        <times/>
                        <apply>
                            <plus/>
                            <ci>k6</ci>
                            <ci>k7</ci>
                        </apply>
                        <ci>AM</ci>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <component name="phosphorylation">
        <variable name="AMp" public_interface="in" units="dimensionless"/>
        <variable name="Mp" public_interface="in" units="dimensionless"/>
        <variable name="phosphorylation" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>phosphorylation</ci>
                <apply>
                    <plus/>
                    <ci>AMp</ci>
                    <ci>Mp</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="stress">
        <variable name="AMp" public_interface="in" units="dimensionless"/>
        <variable name="AM" public_interface="in" units="dimensionless"/>
        <variable name="stress" public_interface="out" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>stress</ci>
                <apply>
                    <plus/>
                    <ci>AMp</ci>
                    <ci>AM</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="model_parameters1">
        <variable name="k1" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k2" public_interface="in" units="first_order_rate_constant"/>
        <variable name="k5" public_interface="out" units="first_order_rate_constant"/>
        <variable name="k6" public_interface="out" units="first_order_rate_constant"/>
        <variable initial_value="0.22" name="k4" public_interface="out" units="first_order_rate_constant"/>
        <variable initial_value="0.12" name="k7" public_interface="out" units="first_order_rate_constant"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>k6</ci>
                <ci>k1</ci>
            </apply>
            <apply>
                <eq/>
                <ci>k5</ci>
                <ci>k2</ci>
            </apply>
        </math>
    </component>
    <component name="EC_par">
        <variable name="a_0" public_interface="in" units="uM2"/>
        <variable name="a_1" public_interface="in" units="uM"/>
        <variable name="AKT_star" public_interface="in" units="uM"/>
        <variable name="AKT_tot" public_interface="in" units="uM"/>
        <variable name="All_NO" public_interface="in" units="uM_per_sec"/>
        <variable name="alpha" public_interface="in" units="per_sec"/>
        <variable name="a_PI3K" public_interface="in" units="dimensionless"/>
        <variable name="b_0" public_interface="in" units="dimensionless"/>
        <variable name="b_1" public_interface="in" units="uM"/>
        <variable name="B_tot" public_interface="in" units="uM"/>
        <variable name="beta" public_interface="in" units="dimensionless"/>
        <variable name="Ca2_c" public_interface="in" units="uM"/>
        <variable name="Ca2_b" public_interface="in" units="uM"/>
        <variable name="Ca2_e" public_interface="in" units="uM"/>
        <variable name="Ca2_s0" public_interface="in" units="uM"/>
        <variable name="Ca2_s" public_interface="in" units="uM"/>
        <variable name="Ca4_CaM" public_interface="in" units="uM"/>
        <variable name="CaM_tot" public_interface="in" units="uM"/>
        <variable name="cGMP_EC" public_interface="in" units="uM"/>
        <variable name="delta" public_interface="in" units="dimensionless"/>
        <variable name="eNOS_CaM" public_interface="in" units="uM"/>
        <variable name="eNOS_CaM_star" public_interface="in" units="uM"/>
        <variable name="eNOS_Cav" public_interface="in" units="uM"/>
        <variable name="eNOS_Cav_0" public_interface="in" units="uM"/>
        <variable name="eNOS_tot" public_interface="in" units="uM"/>
        <variable name="eta" public_interface="in" units="per_sec"/>
        <variable name="G" public_interface="in" units="uM"/>
        <variable name="g_0" public_interface="in" units="uM2"/>
        <variable name="g_1" public_interface="in" units="uM"/>
        <variable name="Gt" public_interface="in" units="uM"/>
        <variable name="IP3" public_interface="in" units="uM"/>
        <variable name="k_1p" public_interface="in" units="per_sec"/>
        <variable name="k_2" public_interface="in" units="uM"/>
        <variable name="k_2p" public_interface="in" units="per_sec"/>
        <variable name="k_3" public_interface="in" units="uM"/>
        <variable name="k_5" public_interface="in" units="uM"/>
        <variable name="k_a" public_interface="in" units="per_sec"/>
        <variable name="k_AKT_negative" public_interface="in" units="per_sec"/>
        <variable name="k_AKT_positive" public_interface="in" units="per_sec"/>
        <variable name="k_Ca4_CaM" public_interface="in" units="per_sec"/>
        <variable name="k_CaM_negative" public_interface="in" units="per_sec"/>
        <variable name="k_CaM_positive" public_interface="in" units="per_sec"/>
        <variable name="k_CCE" public_interface="in" units="per_sec"/>
        <variable name="k_cGMP" public_interface="in" units="uM"/>
        <variable name="K_cp" public_interface="in" units="per_uM"/>
        <variable name="k_d" public_interface="in" units="per_sec"/>
        <variable name="k_dCaM" public_interface="in" units="dimensionless"/>
        <variable name="k_eAKT_max" public_interface="in" units="per_sec"/>
        <variable name="k_eAKT_negative" public_interface="in" units="per_sec"/>
        <variable name="k_eAKT_positive" public_interface="in" units="per_sec"/>
        <variable name="k_half_CaM" public_interface="in" units="uM"/>
        <variable name="k_leak" public_interface="in" units="per_uM_per_sec"/>
        <variable name="k_mNO" public_interface="in" units="uM"/>
        <variable name="k_off" public_interface="in" units="per_sec"/>
        <variable name="k_on" public_interface="in" units="per_uM_per_sec"/>
        <variable name="k_out" public_interface="in" units="uM_per_sec"/>
        <variable name="k_PIP2_negative" public_interface="in" units="per_sec"/>
        <variable name="k_PIP2_positive" public_interface="in" units="per_sec"/>
        <variable name="k_PKC_negative" public_interface="in" units="per_sec"/>
        <variable name="k_PKC_positive" public_interface="in" units="per_sec"/>
        <variable name="k_rel" public_interface="in" units="per_sec"/>
        <variable name="k_res" public_interface="in" units="uM_per_sec"/>
        <variable name="k_Thr_negative" public_interface="in" units="per_sec"/>
        <variable name="k_Thr_positive" public_interface="in" units="per_sec"/>
        <variable name="lambda" public_interface="in" units="dimensionless"/>
        <variable name="lambda_NO" public_interface="in" units="per_sec"/>
        <variable name="m_1" public_interface="in" units="per_uM"/>
        <variable name="M_ATP" public_interface="in" units="dimensionless"/>
        <variable name="mu1" public_interface="in" units="per_sec"/>
        <variable name="N" public_interface="in" units="dimensionless"/>
        <variable name="NO_d" public_interface="in" units="uM_per_sec"/>
        <variable name="NO_EC" public_interface="in" units="uM"/>
        <variable name="O2" public_interface="in" units="uM"/>
        <variable name="Phi" public_interface="in" units="dimensionless"/>
        <variable name="PIP2" public_interface="in" units="uM"/>
        <variable name="PIP2_t" public_interface="in" units="uM"/>
        <variable name="PIP3" public_interface="in" units="uM"/>
        <variable name="PIP3_max" public_interface="in" units="uM"/>
        <variable name="PIP3_min" public_interface="in" units="uM"/>
        <variable name="PIP2_tot" public_interface="in" units="uM"/>
        <variable name="PKC_star" public_interface="in" units="uM"/>
        <variable name="PKC_tot" public_interface="in" units="uM"/>
        <variable name="psi" public_interface="in" units="per_uM"/>
        <variable name="q_CCE" public_interface="in" units="uM_per_sec"/>
        <variable name="q_in" public_interface="in" units="uM_per_sec"/>
        <variable name="q_max" public_interface="in" units="uM_per_sec"/>
        <variable name="q_MSIC" public_interface="in" units="uM_per_sec"/>
        <variable name="Q_NO" public_interface="in" units="uM_per_sec"/>
        <variable name="q_out" public_interface="in" units="uM_per_sec"/>
        <variable name="q_rel" public_interface="in" units="uM_per_sec"/>
        <variable name="q_res" public_interface="in" units="uM_per_sec"/>
        <variable name="Q_sGC" public_interface="in" units="uM_per_sec"/>
        <variable name="r" public_interface="in" units="per_sec"/>
        <variable name="r_f" public_interface="in" units="per_sec"/>
        <variable name="R_NO_max" public_interface="in" units="per_sec"/>
        <variable name="r_r" public_interface="in" units="per_sec"/>
        <variable name="R_star" public_interface="in" units="dimensionless"/>
        <variable name="sGC" public_interface="in" units="uM"/>
        <variable name="theta" public_interface="in" units="dimensionless"/>
        <variable name="v_cGMP_max" public_interface="in" units="uM_per_sec"/>
        <variable name="v_r" public_interface="in" units="dimensionless"/>
        <variable name="W" public_interface="in" units="dimensionless"/>
        <variable name="W_0" public_interface="in" units="dimensionless"/>
        <variable name="X" public_interface="in" units="per_sec"/>
        <variable name="xi" public_interface="in" units="per_uM2"/>
        <variable name="Z" public_interface="in" units="dimensionless"/>
    </component>
    <connection>
        <map_components component_1="sGC_SMC" component_2="NO_sGC"/>
        <map_variables variable_1="Eb" variable_2="Eb"/>
        <map_variables variable_1="E5c" variable_2="E5c"/>
        <map_variables variable_1="E6c" variable_2="E6c"/>
        <map_variables variable_1="NO_SMC" variable_2="NO_SMC"/>
        <map_variables variable_1="cGMP_SMC" variable_2="cGMP_SMC"/>
        <map_variables variable_1="vd" variable_2="vd"/>
        <map_variables variable_1="vp" variable_2="vp"/>
        <map_variables variable_1="J_dif" variable_2="J_dif"/>
        <map_variables variable_1="n_mlcph" variable_2="n_mlcph"/>
        <map_variables variable_1="h3" variable_2="h3"/>
        <map_variables variable_1="h2" variable_2="h2"/>
        <map_variables variable_1="h_4" variable_2="h_4"/>
        <map_variables variable_1="All_E5c" variable_2="All_E5c"/>
        <map_variables variable_1="n_EC" variable_2="n_EC"/>
        <map_variables variable_1="h_four" variable_2="h_four"/>
        <map_variables variable_1="J_no" variable_2="J_no"/>
        <map_variables variable_1="n_cGMPS" variable_2="n_cGMPS"/>
        <map_variables variable_1="Km_pde" variable_2="Km_pde"/>
        <map_variables variable_1="K_pde" variable_2="K_pde"/>
    </connection>
    <connection>
        <map_components component_1="calcium" component_2="asm_ca"/>
        <map_variables variable_1="Ca_in_SMC" variable_2="Ca_in_SMC"/>
        <map_variables variable_1="p_agonist" variable_2="p_agonist"/>
    </connection>
    <connection>
        <map_components component_1="asm_ca" component_2="SMC_Par"/>
        <map_variables variable_1="Ca_in_SMC" variable_2="Ca_in_SMC"/>
        <map_variables variable_1="Ca_SR" variable_2="Ca_SR"/>
        <map_variables variable_1="Ca_t" variable_2="Ca_t"/>
        <map_variables variable_1="p_agonist" variable_2="p_agonist"/>
        <map_variables variable_1="J_release" variable_2="J_release"/>
        <map_variables variable_1="J_serca" variable_2="J_serca"/>
        <map_variables variable_1="J_in" variable_2="J_in"/>
        <map_variables variable_1="J_pm" variable_2="J_pm"/>
        <map_variables variable_1="V_ca" variable_2="V_ca"/>
        <map_variables variable_1="P_ipr" variable_2="P_ipr"/>
        <map_variables variable_1="P_RyR" variable_2="P_RyR"/>
        <map_variables variable_1="I_ca" variable_2="I_ca"/>
    </connection>
    <connection>
        <map_components component_1="calcium" component_2="model_parameters1"/>
        <map_variables variable_1="k1" variable_2="k1"/>
    </connection>
    <connection>
        <map_components component_1="kay2" component_2="model_parameters1"/>
        <map_variables variable_1="k2" variable_2="k2"/>
    </connection>
    <connection>
        <map_components component_1="sGC_SMC" component_2="kay2"/>
        <map_variables variable_1="k2y" variable_2="k2y"/>
        <map_variables variable_1="k_dno" variable_2="k_dno"/>
    </connection>
    <connection>
        <map_components component_1="SMC_Par" component_2="calcium"/>
        <map_variables variable_1="P" variable_2="P"/>
    </connection>
    <connection>
        <map_components component_1="SMC_Par" component_2="sGC_SMC"/>
        <map_variables variable_1="k_mlcpb" variable_2="k_mlcpb"/>
        <map_variables variable_1="k_mlcpc" variable_2="k_mlcpc"/>
        <map_variables variable_1="k_mlcpm" variable_2="k_mlcpm"/>
    </connection>
    <connection>
        <map_components component_1="calcium" component_2="kay2"/>
        <map_variables variable_1="k2h" variable_2="k2h"/>
        <map_variables variable_1="k1a" variable_2="k1a"/>
    </connection>
    <connection>
        <map_components component_1="M" component_2="Environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="Mp" component_2="Environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="AMp" component_2="Environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="AM" component_2="Environment"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="Environment" component_2="calcium"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="Environment" component_2="asm_ca"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="Environment" component_2="sGC_SMC"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="M" component_2="model_parameters1"/>
        <map_variables variable_1="k7" variable_2="k7"/>
    </connection>
    <connection>
        <map_components component_1="M" component_2="model_parameters1"/>
        <map_variables variable_1="k1" variable_2="k1"/>
    </connection>
    <connection>
        <map_components component_1="M" component_2="kay2"/>
        <map_variables variable_1="k2" variable_2="k2"/>
    </connection>
    <connection>
        <map_components component_1="Mp" component_2="model_parameters1"/>
        <map_variables variable_1="k4" variable_2="k4"/>
    </connection>
    <connection>
        <map_components component_1="Mp" component_2="model_parameters1"/>
        <map_variables variable_1="k1" variable_2="k1"/>
    </connection>
    <connection>
        <map_components component_1="Mp" component_2="kay2"/>
        <map_variables variable_1="k2" variable_2="k2"/>
    </connection>
    <connection>
        <map_components component_1="AMp" component_2="model_parameters1"/>
        <map_variables variable_1="k5" variable_2="k5"/>
        <map_variables variable_1="k6" variable_2="k6"/>
        <map_variables variable_1="k4" variable_2="k4"/>
    </connection>
    <connection>
        <map_components component_1="AM" component_2="model_parameters1"/>
        <map_variables variable_1="k5" variable_2="k5"/>
        <map_variables variable_1="k6" variable_2="k6"/>
        <map_variables variable_1="k7" variable_2="k7"/>
    </connection>
    <connection>
        <map_components component_1="AM" component_2="M"/>
        <map_variables variable_1="AM" variable_2="AM"/>
    </connection>
    <connection>
        <map_components component_1="AM" component_2="AMp"/>
        <map_variables variable_1="AMp" variable_2="AMp"/>
        <map_variables variable_1="AM" variable_2="AM"/>
    </connection>
    <connection>
        <map_components component_1="M" component_2="Mp"/>
        <map_variables variable_1="M" variable_2="M"/>
        <map_variables variable_1="Mp" variable_2="Mp"/>
    </connection>
    <connection>
        <map_components component_1="Mp" component_2="AMp"/>
        <map_variables variable_1="Mp" variable_2="Mp"/>
        <map_variables variable_1="AMp" variable_2="AMp"/>
    </connection>
    <connection>
        <map_components component_1="phosphorylation" component_2="AMp"/>
        <map_variables variable_1="AMp" variable_2="AMp"/>
    </connection>
    <connection>
        <map_components component_1="phosphorylation" component_2="Mp"/>
        <map_variables variable_1="Mp" variable_2="Mp"/>
    </connection>
    <connection>
        <map_components component_1="stress" component_2="AMp"/>
        <map_variables variable_1="AMp" variable_2="AMp"/>
    </connection>
    <connection>
        <map_components component_1="stress" component_2="AM"/>
        <map_variables variable_1="AM" variable_2="AM"/>
    </connection>
    <connection>
        <map_components component_1="Environment" component_2="Activation_of_G_proteins"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="tau" variable_2="tau"/>
    </connection>
    <connection>
        <map_components component_1="Environment" component_2="Calcium_signalling"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="tau" variable_2="tau"/>
    </connection>
    <connection>
        <map_components component_1="Environment" component_2="Activation_of_protein_kinases"/>
        <map_variables variable_1="time" variable_2="time"/>
        <map_variables variable_1="tau" variable_2="tau"/>
    </connection>
    <connection>
        <map_components component_1="Environment" component_2="Phosphorylation_and_formation_of_eNOS_complexes"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="Environment" component_2="NO_production"/>
        <map_variables variable_1="time" variable_2="time"/>
    </connection>
    <connection>
        <map_components component_1="Activation_of_G_proteins" component_2="Calcium_signalling"/>
        <map_variables variable_1="IP3" variable_2="IP3"/>
    </connection>
    <connection>
        <map_components component_1="NO_production" component_2="Calcium_signalling"/>
        <map_variables variable_1="cGMP_EC" variable_2="cGMP_EC"/>
    </connection>
    <connection>
        <map_components component_1="Activation_of_G_proteins" component_2="Activation_of_protein_kinases"/>
        <map_variables variable_1="k_PIP2_positive" variable_2="k_PIP2_positive"/>
        <map_variables variable_1="PIP3" variable_2="PIP3"/>
    </connection>
    <connection>
        <map_components component_1="Phosphorylation_and_formation_of_eNOS_complexes" component_2="NO_production"/>
        <map_variables variable_1="eNOS_CaM" variable_2="eNOS_CaM"/>
        <map_variables variable_1="eNOS_CaM_star" variable_2="eNOS_CaM_star"/>
    </connection>
    <connection>
        <map_components component_1="Phosphorylation_and_formation_of_eNOS_complexes" component_2="Calcium_signalling"/>
        <map_variables variable_1="Ca2_c" variable_2="Ca2_c"/>
    </connection>
    <connection>
        <map_components component_1="Phosphorylation_and_formation_of_eNOS_complexes" component_2="Activation_of_protein_kinases"/>
        <map_variables variable_1="AKT_star" variable_2="AKT_star"/>
        <map_variables variable_1="AKT_tot" variable_2="AKT_tot"/>
        <map_variables variable_1="PKC_tot" variable_2="PKC_tot"/>
        <map_variables variable_1="PKC_star" variable_2="PKC_star"/>
    </connection>
    <connection>
        <map_components component_1="NO_sGC" component_2="NO_production"/>
        <map_variables variable_1="NO_EC" variable_2="NO_EC"/>
        <map_variables variable_1="Q_NO" variable_2="Q_NO"/>
        <map_variables variable_1="Q_sGC" variable_2="Q_sGC"/>
        <map_variables variable_1="J_dif" variable_2="J_dif"/>
        <map_variables variable_1="cGMP_EC" variable_2="cGMP_EC"/>
        <map_variables variable_1="n_EC" variable_2="n_EC"/>
    </connection>
    <connection>
        <map_components component_1="Phosphorylation_and_formation_of_eNOS_complexes" component_2="NO_sGC"/>
        <map_variables variable_1="eNOS_CaM" variable_2="eNOS_CaM"/>
        <map_variables variable_1="eNOS_CaM_star" variable_2="eNOS_CaM_star"/>
    </connection>
    <connection>
        <map_components component_1="Activation_of_G_proteins" component_2="EC_par"/>
        <map_variables variable_1="G" variable_2="G"/>
        <map_variables variable_1="k_a" variable_2="k_a"/>
        <map_variables variable_1="R_star" variable_2="R_star"/>
        <map_variables variable_1="Gt" variable_2="Gt"/>
        <map_variables variable_1="k_d" variable_2="k_d"/>
        <map_variables variable_1="lambda" variable_2="lambda"/>
        <map_variables variable_1="IP3" variable_2="IP3"/>
        <map_variables variable_1="r_f" variable_2="r_f"/>
        <map_variables variable_1="PIP2" variable_2="PIP2"/>
        <map_variables variable_1="mu1" variable_2="mu1"/>
        <map_variables variable_1="alpha" variable_2="alpha"/>
        <map_variables variable_1="K_cp" variable_2="K_cp"/>
        <map_variables variable_1="M_ATP" variable_2="M_ATP"/>
        <map_variables variable_1="r_r" variable_2="r_r"/>
        <map_variables variable_1="PIP2_t" variable_2="PIP2_t"/>
        <map_variables variable_1="k_PIP2_positive" variable_2="k_PIP2_positive"/>
        <map_variables variable_1="k_PIP2_negative" variable_2="k_PIP2_negative"/>
        <map_variables variable_1="PIP3" variable_2="PIP3"/>
    </connection>
    <connection>
        <map_components component_1="Calcium_signalling" component_2="EC_par"/>
        <map_variables variable_1="Ca2_c" variable_2="Ca2_c"/>
        <map_variables variable_1="Ca2_b" variable_2="Ca2_b"/>
        <map_variables variable_1="Ca2_s" variable_2="Ca2_s"/>
        <map_variables variable_1="q_rel" variable_2="q_rel"/>
        <map_variables variable_1="q_res" variable_2="q_res"/>
        <map_variables variable_1="q_out" variable_2="q_out"/>
        <map_variables variable_1="q_in" variable_2="q_in"/>
        <map_variables variable_1="k_leak" variable_2="k_leak"/>
        <map_variables variable_1="v_r" variable_2="v_r"/>
        <map_variables variable_1="k_rel" variable_2="k_rel"/>
        <map_variables variable_1="k_2" variable_2="k_2"/>
        <map_variables variable_1="k_res" variable_2="k_res"/>
        <map_variables variable_1="k_3" variable_2="k_3"/>
        <map_variables variable_1="k_out" variable_2="k_out"/>
        <map_variables variable_1="k_5" variable_2="k_5"/>
        <map_variables variable_1="q_MSIC" variable_2="q_MSIC"/>
        <map_variables variable_1="q_CCE" variable_2="q_CCE"/>
        <map_variables variable_1="q_max" variable_2="q_max"/>
        <map_variables variable_1="N" variable_2="N"/>
        <map_variables variable_1="W" variable_2="W"/>
        <map_variables variable_1="Z" variable_2="Z"/>
        <map_variables variable_1="W_0" variable_2="W_0"/>
        <map_variables variable_1="k_CCE" variable_2="k_CCE"/>
        <map_variables variable_1="Ca2_s0" variable_2="Ca2_s0"/>
        <map_variables variable_1="Ca2_e" variable_2="Ca2_e"/>
        <map_variables variable_1="psi" variable_2="psi"/>
        <map_variables variable_1="xi" variable_2="xi"/>
        <map_variables variable_1="k_on" variable_2="k_on"/>
        <map_variables variable_1="k_off" variable_2="k_off"/>
        <map_variables variable_1="B_tot" variable_2="B_tot"/>
    </connection>
    <connection>
        <map_components component_1="Activation_of_protein_kinases" component_2="EC_par"/>
        <map_variables variable_1="a_PI3K" variable_2="a_PI3K"/>
        <map_variables variable_1="delta" variable_2="delta"/>
        <map_variables variable_1="eta" variable_2="eta"/>
        <map_variables variable_1="k_1p" variable_2="k_1p"/>
        <map_variables variable_1="k_2p" variable_2="k_2p"/>
        <map_variables variable_1="AKT_star" variable_2="AKT_star"/>
        <map_variables variable_1="AKT_tot" variable_2="AKT_tot"/>
        <map_variables variable_1="PKC_tot" variable_2="PKC_tot"/>
        <map_variables variable_1="PKC_star" variable_2="PKC_star"/>
        <map_variables variable_1="k_AKT_positive" variable_2="k_AKT_positive"/>
        <map_variables variable_1="k_PKC_positive" variable_2="k_PKC_positive"/>
        <map_variables variable_1="k_AKT_negative" variable_2="k_AKT_negative"/>
        <map_variables variable_1="k_PKC_negative" variable_2="k_PKC_negative"/>
        <map_variables variable_1="PIP3_min" variable_2="PIP3_min"/>
        <map_variables variable_1="PIP3_max" variable_2="PIP3_max"/>
        <map_variables variable_1="PIP2_tot" variable_2="PIP2_tot"/>
    </connection>
    <connection>
        <map_components component_1="Phosphorylation_and_formation_of_eNOS_complexes" component_2="EC_par"/>
        <map_variables variable_1="Ca4_CaM" variable_2="Ca4_CaM"/>
        <map_variables variable_1="k_Ca4_CaM" variable_2="k_Ca4_CaM"/>
        <map_variables variable_1="theta" variable_2="theta"/>
        <map_variables variable_1="beta" variable_2="beta"/>
        <map_variables variable_1="CaM_tot" variable_2="CaM_tot"/>
        <map_variables variable_1="k_dCaM" variable_2="k_dCaM"/>
        <map_variables variable_1="eNOS_CaM" variable_2="eNOS_CaM"/>
        <map_variables variable_1="eNOS_CaM_star" variable_2="eNOS_CaM_star"/>
        <map_variables variable_1="k_CaM_positive" variable_2="k_CaM_positive"/>
        <map_variables variable_1="k_CaM_negative" variable_2="k_CaM_negative"/>
        <map_variables variable_1="k_half_CaM" variable_2="k_half_CaM"/>
        <map_variables variable_1="eNOS_Cav" variable_2="eNOS_Cav"/>
        <map_variables variable_1="eNOS_tot" variable_2="eNOS_tot"/>
        <map_variables variable_1="k_eAKT_positive" variable_2="k_eAKT_positive"/>
        <map_variables variable_1="k_eAKT_negative" variable_2="k_eAKT_negative"/>
        <map_variables variable_1="k_eAKT_max" variable_2="k_eAKT_max"/>
        <map_variables variable_1="k_Thr_positive" variable_2="k_Thr_positive"/>
        <map_variables variable_1="k_Thr_negative" variable_2="k_Thr_negative"/>
        <map_variables variable_1="eNOS_Cav_0" variable_2="eNOS_Cav_0"/>
        <map_variables variable_1="m_1" variable_2="m_1"/>
    </connection>
    <connection>
        <map_components component_1="NO_production" component_2="EC_par"/>
        <map_variables variable_1="NO_EC" variable_2="NO_EC"/>
        <map_variables variable_1="Q_NO" variable_2="Q_NO"/>
        <map_variables variable_1="O2" variable_2="O2"/>
        <map_variables variable_1="k_mNO" variable_2="k_mNO"/>
        <map_variables variable_1="eNOS_CaM" variable_2="eNOS_CaM"/>
        <map_variables variable_1="eNOS_CaM_star" variable_2="eNOS_CaM_star"/>
        <map_variables variable_1="Phi" variable_2="Phi"/>
        <map_variables variable_1="Q_sGC" variable_2="Q_sGC"/>
        <map_variables variable_1="sGC" variable_2="sGC"/>
        <map_variables variable_1="R_NO_max" variable_2="R_NO_max"/>
        <map_variables variable_1="a_0" variable_2="a_0"/>
        <map_variables variable_1="a_1" variable_2="a_1"/>
        <map_variables variable_1="cGMP_EC" variable_2="cGMP_EC"/>
        <map_variables variable_1="v_cGMP_max" variable_2="v_cGMP_max"/>
        <map_variables variable_1="g_0" variable_2="g_0"/>
        <map_variables variable_1="g_1" variable_2="g_1"/>
        <map_variables variable_1="X" variable_2="X"/>
        <map_variables variable_1="k_cGMP" variable_2="k_cGMP"/>
        <map_variables variable_1="r" variable_2="r"/>
        <map_variables variable_1="b_0" variable_2="b_0"/>
        <map_variables variable_1="b_1" variable_2="b_1"/>
        <map_variables variable_1="All_NO" variable_2="All_NO"/>
        <map_variables variable_1="NO_d" variable_2="NO_d"/>
        <map_variables variable_1="lambda_NO" variable_2="lambda_NO"/>
    </connection>
    <connection>
        <map_components component_1="kay2" component_2="Mp"/>
        <map_variables variable_1="k3" variable_2="k3"/>
    </connection>
    <connection>
        <map_components component_1="kay2" component_2="AMp"/>
        <map_variables variable_1="k3" variable_2="k3"/>
    </connection>
</model>