Location: BG_LCC @ aaa7ebbd8dea / BG_LCC.cellml

Author:
Shelley Fong <s.fong@auckland.ac.nz>
Date:
2021-08-06 09:10:20+12:00
Desc:
Adding sedml file after fixing units file and other bugs
Permanent Source URI:
https://models.physiomeproject.org/workspace/6d7/rawfile/aaa7ebbd8dea653a40953f78e40664c0d17d4492/BG_LCC.cellml

<?xml version='1.0' encoding='UTF-8'?>
<!-- L_type Ca channel with gates
 same as Pan and LRd
 add Na flux - assume it depends onthe same open gate states as Ca and K (S111 and S121)
 flux of charge (dq_membrane/dt) = sum of all currents-->
<!-- 5 Aug repurposing this code to use as general, modular LCC channel-->
<model name="LCC" 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"/>
    </import>
    <component name="membrane">
        <variable name="t" public_interface="out" units="second"/>
        <variable name="Vmem" units="volt"/>
        <variable initial_value="-13039" name="q_membrane" public_interface="out" units="fC"/>
        <variable initial_value="153400" name="C_m" public_interface="out" units="fF"/>
        <variable initial_value="2494.34" name="RT" public_interface="out" units="J_per_mol"/>
        <variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
        <variable initial_value="1e4" name="vol_o" public_interface="out" units="microm3"/>
        <variable initial_value="9.3276" name="q_Cao" public_interface="out" units="fmol"/>
        <variable initial_value="0.00456" name="q_Cai" public_interface="out" units="fmol"/>
        <variable initial_value="27.9828" name="q_Ko" public_interface="out" units="fmol"/>
        <variable initial_value="5510" name="q_Ki" public_interface="out" units="fmol"/>
        <variable initial_value="725.48" name="q_Nao" public_interface="out" units="fmol"/>
        <variable initial_value="380" name="q_Nai" public_interface="out" units="fmol"/>
        <variable name="v_CaGHK_i" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_CaGHK_o" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_KGHK_i" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_KGHK_o" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_NaGHK_i" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_NaGHK_o" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_E" units="fA"/>
        <variable initial_value="2" name="zCa" public_interface="out" units="dimensionless"/>
        <variable initial_value="1" name="zNa" public_interface="out" units="dimensionless"/>
        <variable initial_value="1" name="zK" public_interface="out" units="dimensionless"/>
        <!--{pub: in};
v_E = zCa*F*(v_LCC_Ca1+v_LCC_Ca2+v_LCC_K1+v_LCC_K2+v_LCC_Na1+v_LCC_Na2);-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>v_E</ci>
                <apply>
                    <times/>
                    <ci>zCa</ci>
                    <ci>F</ci>
                    <apply>
                        <plus/>
                        <ci>v_CaGHK_o</ci>
                        <ci>v_KGHK_o</ci>
                        <ci>v_NaGHK_o</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Cai</ci>
                </apply>
                <ci>v_CaGHK_i</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Cao</ci>
                </apply>
                <ci>v_CaGHK_o</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ki</ci>
                </apply>
                <ci>v_KGHK_i</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ko</ci>
                </apply>
                <ci>v_KGHK_o</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Nai</ci>
                </apply>
                <ci>v_NaGHK_i</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Nao</ci>
                </apply>
                <ci>v_NaGHK_o</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_membrane</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_E</ci>
                </apply>
            </apply>
            <!--q_membrane = -10e4{fC}+floor(t/1{dimensionless})*2e3{dimensionless};-->
            <apply>
                <eq/>
                <ci>Vmem</ci>
                <apply>
                    <divide/>
                    <ci>q_membrane</ci>
                    <ci>C_m</ci>
                </apply>
            </apply>
        </math>
        <!--        I_LR = P_Ca * z*F*V_norm * (gamma_Cai * cCai_st * exp(V_norm) - gamma_Cao* cCao_st) / (exp(V_norm) - 1{dimensionless}); 
        I_GHK = P_GHK * z*F*V_norm * (cCai_st * exp(V_norm) - cCao_st) / (exp(V_norm) - 1{dimensionless});
        I_LR = P_K * z*F*V_norm * (gamma_Ki * cKi_st * exp(V_norm) - gamma_Ko* cKo_st) / (exp(V_norm) - 1{dimensionless}) ;
        I_GHK = P_GHK * z*F*V_norm * (cKi_st * exp(V_norm) - cKo_st) / (exp(V_norm) - 1{dimensionless});-->
    </component>
    <component name="BG_LCC">
        <variable name="t" private_interface="out" public_interface="in" units="second"/>
        <variable name="RT" private_interface="out" public_interface="in" units="J_per_mol"/>
        <variable name="F" private_interface="out" public_interface="in" units="C_per_mol"/>
        <variable name="C_m" public_interface="in" units="fF"/>
        <!-- overall ion permeability (GHK)-->
        <variable initial_value="0.16293" name="K_Cao" units="per_fmol"/>
        <variable initial_value="0.022218" name="K_Cai" units="per_fmol"/>
        <variable initial_value="0.059344" name="K_Ko" units="per_fmol"/>
        <variable initial_value="0.0080926" name="K_Ki" units="per_fmol"/>
        <variable initial_value="0.017678" name="K_Nao" units="per_fmol"/>
        <variable initial_value="0.0024108" name="K_Nai" units="per_fmol"/>
        <variable name="Cao" units="mM"/>
        <variable name="vol_o" public_interface="in" units="microm3"/>
        <variable name="zCa" public_interface="in" units="dimensionless"/>
        <variable name="zK" public_interface="in" units="dimensionless"/>
        <variable name="zNa" public_interface="in" units="dimensionless"/>
        <!-- state variables-->
        <variable name="q_Cai" public_interface="in" units="fmol"/>
        <variable name="q_Cao" public_interface="in" units="fmol"/>
        <variable name="q_Ki" public_interface="in" units="fmol"/>
        <variable name="q_Nai" public_interface="in" units="fmol"/>
        <variable name="q_Nao" public_interface="in" units="fmol"/>
        <variable name="q_Ko" public_interface="in" units="fmol"/>
        <variable name="q_E" public_interface="in" units="fC"/>
        <variable name="mu_E" private_interface="out" units="J_per_C"/>
        <variable name="mu_mem_Ca" units="J_per_mol"/>
        <variable name="mu_mem_K" units="J_per_mol"/>
        <variable name="mu_mem_Na" units="J_per_mol"/>
        <variable name="v_CaGHK_i" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_CaGHK_o" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_KGHK_i" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_KGHK_o" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_NaGHK_i" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_NaGHK_o" public_interface="out" units="fmol_per_sec"/>
        <!-- BG potential energy-->
        <variable name="mu_Cai" private_interface="out" units="J_per_mol"/>
        <variable name="mu_Cao" units="J_per_mol"/>
        <variable name="mu_Ki" units="J_per_mol"/>
        <variable name="mu_Ko" units="J_per_mol"/>
        <variable name="mu_Nai" units="J_per_mol"/>
        <variable name="mu_Nao" units="J_per_mol"/>
        <variable name="mu_S111" private_interface="in" units="J_per_mol"/>
        <variable name="mu_S121" private_interface="in" units="J_per_mol"/>
        <!-- BG reaction parameters-->
        <variable name="Af_LCC_Ca1" units="J_per_mol"/>
        <variable name="Ar_LCC_Ca1" units="J_per_mol"/>
        <variable name="Am_LCC_Ca1" units="J_per_mol"/>
        <variable name="v_LCC_Ca1" public_interface="out" units="fmol_per_sec"/>
        <variable name="Af_LCC_Ca2" units="J_per_mol"/>
        <variable name="Ar_LCC_Ca2" units="J_per_mol"/>
        <variable name="Am_LCC_Ca2" units="J_per_mol"/>
        <variable name="v_LCC_Ca2" public_interface="out" units="fmol_per_sec"/>
        <variable name="Af_LCC_K1" units="J_per_mol"/>
        <variable name="Ar_LCC_K1" units="J_per_mol"/>
        <variable name="Am_LCC_K1" units="J_per_mol"/>
        <variable name="v_LCC_K1" public_interface="out" units="fmol_per_sec"/>
        <variable name="Af_LCC_K2" units="J_per_mol"/>
        <variable name="Ar_LCC_K2" units="J_per_mol"/>
        <variable name="Am_LCC_K2" units="J_per_mol"/>
        <variable name="v_LCC_K2" public_interface="out" units="fmol_per_sec"/>
        <variable name="Af_LCC_Na1" units="J_per_mol"/>
        <variable name="Ar_LCC_Na1" units="J_per_mol"/>
        <variable name="Am_LCC_Na1" units="J_per_mol"/>
        <variable name="v_LCC_Na1" public_interface="out" units="fmol_per_sec"/>
        <variable name="Af_LCC_Na2" units="J_per_mol"/>
        <variable name="Ar_LCC_Na2" units="J_per_mol"/>
        <variable name="Am_LCC_Na2" units="J_per_mol"/>
        <variable name="v_LCC_Na2" public_interface="out" units="fmol_per_sec"/>
        <!-- constants-->
        <variable initial_value="31.5432" name="kappa_LCC_Ca1" units="fmol_per_sec"/>
        <variable initial_value="58.9849" name="kappa_LCC_Ca2" units="fmol_per_sec"/>
        <variable initial_value="0.068076" name="kappa_LCC_K1" units="fmol_per_sec"/>
        <variable initial_value="0.1273" name="kappa_LCC_K2" units="fmol_per_sec"/>
        <variable initial_value="31.5432" name="kappa_LCC_Na1" units="fmol_per_sec"/>
        <variable initial_value="58.9849" name="kappa_LCC_Na2" units="fmol_per_sec"/>
        <!-- fCa gate variable velocities-->
        <variable name="v_fCa00" private_interface="in" units="fmol_per_sec"/>
        <variable name="v_fCa01" private_interface="in" units="fmol_per_sec"/>
        <variable name="v_fCa02" private_interface="in" units="fmol_per_sec"/>
        <variable name="v_fCa10" private_interface="in" units="fmol_per_sec"/>
        <variable name="v_fCa11" private_interface="in" units="fmol_per_sec"/>
        <variable name="v_fCa12" private_interface="in" units="fmol_per_sec"/>
        <!-- potential energies-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>mu_Cai</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Cai</ci>
                            <ci>q_Cai</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Cao</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Cao</ci>
                            <ci>q_Cao</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ki</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ki</ci>
                            <ci>q_Ki</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Ko</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ko</ci>
                            <ci>q_Ko</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Nai</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ki</ci>
                            <ci>q_Ki</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_Nao</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ko</ci>
                            <ci>q_Ko</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- Constitutive relations - Convention: positive flow from inside to outside-->
            <apply>
                <eq/>
                <ci>Cao</ci>
                <apply>
                    <divide/>
                    <apply>
                        <times/>
                        <cn cellml:units="dimensionless" type="e-notation">1<sep/>-3</cn>
                        <ci>q_Cao</ci>
                    </apply>
                    <ci>vol_o</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_mem_Ca</ci>
                <apply>
                    <times/>
                    <ci>zCa</ci>
                    <ci>F</ci>
                    <ci>mu_E</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_mem_K</ci>
                <apply>
                    <times/>
                    <ci>zK</ci>
                    <ci>F</ci>
                    <ci>mu_E</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_mem_Na</ci>
                <apply>
                    <times/>
                    <ci>zNa</ci>
                    <ci>F</ci>
                    <ci>mu_E</ci>
                </apply>
            </apply>
            <!-- Re_GHK:LCC_Ca1-->
            <apply>
                <eq/>
                <ci>Af_LCC_Ca1</ci>
                <apply>
                    <plus/>
                    <ci>mu_Cai</ci>
                    <ci>mu_mem_Ca</ci>
                    <ci>mu_S111</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_LCC_Ca1</ci>
                <apply>
                    <plus/>
                    <ci>mu_Cao</ci>
                    <ci>mu_S111</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Am_LCC_Ca1</ci>
                <ci>mu_mem_Ca</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_LCC_Ca1</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>kappa_LCC_Ca1</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_Ca1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_Ca1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <eq/>
                            <ci>Am_LCC_Ca1</ci>
                            <cn cellml:units="J_per_mol">0</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>kappa_LCC_Ca1</ci>
                                        <ci>Am_LCC_Ca1</ci>
                                    </apply>
                                    <ci>RT</ci>
                                </apply>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <ci>Am_LCC_Ca1</ci>
                                            <ci>RT</ci>
                                        </apply>
                                    </apply>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_Ca1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_Ca1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <!-- Re_GHK:LCC_Ca2-->
            <apply>
                <eq/>
                <ci>Af_LCC_Ca2</ci>
                <apply>
                    <plus/>
                    <ci>mu_Cai</ci>
                    <ci>mu_mem_Ca</ci>
                    <ci>mu_S121</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_LCC_Ca2</ci>
                <apply>
                    <plus/>
                    <ci>mu_Cao</ci>
                    <ci>mu_S121</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Am_LCC_Ca2</ci>
                <ci>mu_mem_Ca</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_LCC_Ca2</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>kappa_LCC_Ca2</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_Ca2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_Ca2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <eq/>
                            <ci>Am_LCC_Ca2</ci>
                            <cn cellml:units="J_per_mol">0</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>kappa_LCC_Ca2</ci>
                                        <ci>Am_LCC_Ca2</ci>
                                    </apply>
                                    <ci>RT</ci>
                                </apply>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <ci>Am_LCC_Ca2</ci>
                                            <ci>RT</ci>
                                        </apply>
                                    </apply>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_Ca2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_Ca2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <!-- Re_GHK:LCC_K1-->
            <apply>
                <eq/>
                <ci>Af_LCC_K1</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ki</ci>
                    <ci>mu_mem_K</ci>
                    <ci>mu_S111</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_LCC_K1</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ko</ci>
                    <ci>mu_S111</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Am_LCC_K1</ci>
                <ci>mu_mem_K</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_LCC_K1</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>kappa_LCC_K1</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_K1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_K1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <eq/>
                            <ci>Am_LCC_K1</ci>
                            <cn cellml:units="J_per_mol">0</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>kappa_LCC_K1</ci>
                                        <ci>Am_LCC_K1</ci>
                                    </apply>
                                    <ci>RT</ci>
                                </apply>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <ci>Am_LCC_K1</ci>
                                            <ci>RT</ci>
                                        </apply>
                                    </apply>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_K1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_K1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <!-- Re_GHK:LCC_K2-->
            <apply>
                <eq/>
                <ci>Af_LCC_K2</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ki</ci>
                    <ci>mu_mem_K</ci>
                    <ci>mu_S121</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_LCC_K2</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ko</ci>
                    <ci>mu_S121</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Am_LCC_K2</ci>
                <ci>mu_mem_K</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_LCC_K2</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>kappa_LCC_K2</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_K2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_K2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <eq/>
                            <ci>Am_LCC_K2</ci>
                            <cn cellml:units="J_per_mol">0</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>kappa_LCC_K2</ci>
                                        <ci>Am_LCC_K2</ci>
                                    </apply>
                                    <ci>RT</ci>
                                </apply>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <ci>Am_LCC_K2</ci>
                                            <ci>RT</ci>
                                        </apply>
                                    </apply>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_K2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_K2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <!--        // Re_GHK:LCC_Na1-->
            <apply>
                <eq/>
                <ci>Af_LCC_Na1</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ki</ci>
                    <ci>mu_mem_Na</ci>
                    <ci>mu_S111</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_LCC_Na1</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ko</ci>
                    <ci>mu_S111</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Am_LCC_Na1</ci>
                <ci>mu_mem_K</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_LCC_Na1</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>kappa_LCC_Na1</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_Na1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_Na1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <eq/>
                            <ci>Am_LCC_Na1</ci>
                            <cn cellml:units="J_per_mol">0</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>kappa_LCC_Na1</ci>
                                        <ci>Am_LCC_Na1</ci>
                                    </apply>
                                    <ci>RT</ci>
                                </apply>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <ci>Am_LCC_Na1</ci>
                                            <ci>RT</ci>
                                        </apply>
                                    </apply>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_Na1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_Na1</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <!-- Re_GHK:LCC_Na2-->
            <apply>
                <eq/>
                <ci>Af_LCC_Na2</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ki</ci>
                    <ci>mu_mem_Na</ci>
                    <ci>mu_S121</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_LCC_Na2</ci>
                <apply>
                    <plus/>
                    <ci>mu_Ko</ci>
                    <ci>mu_S121</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Am_LCC_Na2</ci>
                <ci>mu_mem_K</ci>
            </apply>
            <apply>
                <eq/>
                <ci>v_LCC_Na2</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>kappa_LCC_Na2</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_Na2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_Na2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <eq/>
                            <ci>Am_LCC_Na2</ci>
                            <cn cellml:units="J_per_mol">0</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>kappa_LCC_Na2</ci>
                                        <ci>Am_LCC_Na2</ci>
                                    </apply>
                                    <ci>RT</ci>
                                </apply>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <ci>Am_LCC_Na2</ci>
                                            <ci>RT</ci>
                                        </apply>
                                    </apply>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_LCC_Na2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_LCC_Na2</ci>
                                        <ci>RT</ci>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>mu_E</ci>
                <apply>
                    <divide/>
                    <ci>q_E</ci>
                    <ci>C_m</ci>
                </apply>
            </apply>
            <!-- ***********************************CHECK v_E *********************************// -->
            <!--v_E = zCa*F*(v_LCC_Ca1+v_LCC_Ca2+v_LCC_K1+v_LCC_K2+v_LCC_Na1+v_LCC_Na2);-->
            <!-- output total fluxes of ions-->
            <apply>
                <eq/>
                <ci>v_CaGHK_i</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <times/>
                            <ci>zCa</ci>
                            <apply>
                                <plus/>
                                <ci>v_fCa10</ci>
                                <ci>v_fCa11</ci>
                                <ci>v_fCa02</ci>
                                <ci>v_fCa01</ci>
                                <ci>v_fCa00</ci>
                                <ci>v_fCa12</ci>
                            </apply>
                        </apply>
                        <ci>v_LCC_Ca1</ci>
                    </apply>
                    <ci>v_LCC_Ca2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_CaGHK_o</ci>
                <apply>
                    <plus/>
                    <ci>v_LCC_Ca2</ci>
                    <ci>v_LCC_Ca1</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_KGHK_i</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_LCC_K1</ci>
                    </apply>
                    <ci>v_LCC_K2</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_KGHK_o</ci>
                <apply>
                    <plus/>
                    <ci>v_LCC_K2</ci>
                    <ci>v_LCC_K1</ci>
                </apply>
            </apply>
            <!--        v_NaGHK_i = -v_LCC_Na1-v_LCC_Na2;
        v_NaGHK_o = v_LCC_Na2+v_LCC_Na1;-->
            <apply>
                <eq/>
                <ci>v_NaGHK_i</ci>
                <cn cellml:units="fmol_per_sec">0</cn>
            </apply>
            <apply>
                <eq/>
                <ci>v_NaGHK_o</ci>
                <cn cellml:units="fmol_per_sec">0</cn>
            </apply>
        </math>
    </component>
    <component name="LCC_states_BG">
        <variable name="t" public_interface="in" units="second"/>
        <variable name="Vmem" public_interface="in" units="volt"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="RT" public_interface="in" units="J_per_mol"/>
        <!-- gating parameters-->
        <variable initial_value="369.4994" name="kappa_d000" units="fmol_per_sec"/>
        <variable initial_value="0.31102" name="kappa_d001" units="fmol_per_sec"/>
        <variable initial_value="9.1161" name="kappa_d010" units="fmol_per_sec"/>
        <variable initial_value="0.0076733" name="kappa_d011" units="fmol_per_sec"/>
        <variable initial_value="17.0469" name="kappa_d020" units="fmol_per_sec"/>
        <variable initial_value="0.014349" name="kappa_d021" units="fmol_per_sec"/>
        <variable initial_value="0.68071" name="kappa_f1_000" units="fmol_per_sec"/>
        <variable initial_value="0.00057297" name="kappa_f1_001" units="fmol_per_sec"/>
        <variable initial_value="3.3802" name="kappa_f1_100" units="fmol_per_sec"/>
        <variable initial_value="0.0028452" name="kappa_f1_101" units="fmol_per_sec"/>
        <variable initial_value="1.2467" name="kappa_f2_000" units="fmol_per_sec"/>
        <variable initial_value="0.0010494" name="kappa_f2_001" units="fmol_per_sec"/>
        <variable initial_value="6.1907" name="kappa_f2_100" units="fmol_per_sec"/>
        <variable initial_value="0.0052109" name="kappa_f2_101" units="fmol_per_sec"/>
        <variable initial_value="3502.1028" name="kappa_f3_010" units="fmol_per_sec"/>
        <variable initial_value="2.9478" name="kappa_f3_011" units="fmol_per_sec"/>
        <variable initial_value="17390.563" name="kappa_f3_110" units="fmol_per_sec"/>
        <variable initial_value="14.6381" name="kappa_f3_111" units="fmol_per_sec"/>
        <variable initial_value="106492.3187" name="kappa_fCa00" units="fmol_per_sec"/>
        <variable initial_value="2627.333" name="kappa_fCa01" units="fmol_per_sec"/>
        <variable initial_value="4913.0371" name="kappa_fCa02" units="fmol_per_sec"/>
        <variable initial_value="528814.1044" name="kappa_fCa10" units="fmol_per_sec"/>
        <variable initial_value="13046.6757" name="kappa_fCa11" units="fmol_per_sec"/>
        <variable initial_value="24396.9083" name="kappa_fCa12" units="fmol_per_sec"/>
        <!-- -->
        <variable initial_value="1.3174" name="K_000_LCC" units="per_fmol"/>
        <variable initial_value="1565.0581" name="K_001_LCC" units="per_fmol"/>
        <variable initial_value="53.3957" name="K_010_LCC" units="per_fmol"/>
        <variable initial_value="63435.6844" name="K_011_LCC" units="per_fmol"/>
        <variable initial_value="28.5543" name="K_020_LCC" units="per_fmol"/>
        <variable initial_value="33923.3476" name="K_021_LCC" units="per_fmol"/>
        <variable initial_value="0.26529" name="K_100_LCC" units="per_fmol"/>
        <variable initial_value="315.1706" name="K_101_LCC" units="per_fmol"/>
        <variable initial_value="10.7528" name="K_110_LCC" units="per_fmol"/>
        <variable initial_value="12774.6463" name="K_111_LCC" units="per_fmol"/>
        <variable initial_value="5.7502" name="K_120_LCC" units="per_fmol"/>
        <variable initial_value="6831.4667" name="K_121_LCC" units="per_fmol"/>
        <!-- BG mol quantities  -->
        <variable initial_value="3.6989e-07" name="q_S000_LCC" units="fmol"/>
        <variable initial_value="7.3239e-05" name="q_S010_LCC" units="fmol"/>
        <variable initial_value="3.6989e-07" name="q_S020_LCC" units="fmol"/>
        <variable initial_value="3.7363e-09" name="q_S100_LCC" units="fmol"/>
        <variable initial_value="7.3979e-07" name="q_S110_LCC" units="fmol"/>
        <variable initial_value="3.7363e-09" name="q_S120_LCC" units="fmol"/>
        <variable initial_value="4.1099e-08" name="q_S001_LCC" units="fmol"/>
        <variable initial_value="8.1377e-06" name="q_S011_LCC" units="fmol"/>
        <variable initial_value="4.1099e-08" name="q_S021_LCC" units="fmol"/>
        <variable initial_value="4.1514e-10" name="q_S101_LCC" units="fmol"/>
        <variable initial_value="8.2199e-08" name="q_S111_LCC" units="fmol"/>
        <variable initial_value="4.1514e-10" name="q_S121_LCC" units="fmol"/>
        <!-- gating variable potential energy-->
        <variable name="mu_Cai" public_interface="in" units="J_per_mol"/>
        <variable name="mu_S000_LCC" units="J_per_mol"/>
        <variable name="mu_S010_LCC" units="J_per_mol"/>
        <variable name="mu_S020_LCC" units="J_per_mol"/>
        <variable name="mu_S100_LCC" units="J_per_mol"/>
        <variable name="mu_S110_LCC" units="J_per_mol"/>
        <variable name="mu_S120_LCC" units="J_per_mol"/>
        <variable name="mu_S001_LCC" units="J_per_mol"/>
        <variable name="mu_S011_LCC" units="J_per_mol"/>
        <variable name="mu_S021_LCC" units="J_per_mol"/>
        <variable name="mu_S101_LCC" units="J_per_mol"/>
        <variable name="mu_S111_LCC" public_interface="out" units="J_per_mol"/>
        <variable name="mu_S121_LCC" public_interface="out" units="J_per_mol"/>
        <variable name="Af_fCa00" units="J_per_mol"/>
        <variable name="Ar_fCa00" units="J_per_mol"/>
        <variable name="Af_fCa01" units="J_per_mol"/>
        <variable name="Ar_fCa01" units="J_per_mol"/>
        <variable name="Af_fCa02" units="J_per_mol"/>
        <variable name="Ar_fCa02" units="J_per_mol"/>
        <variable name="Af_fCa10" units="J_per_mol"/>
        <variable name="Ar_fCa10" units="J_per_mol"/>
        <variable name="Af_fCa11" units="J_per_mol"/>
        <variable name="Ar_fCa11" units="J_per_mol"/>
        <variable name="Af_fCa12" units="J_per_mol"/>
        <variable name="Ar_fCa12" units="J_per_mol"/>
        <variable name="Af_d000" units="J_per_mol"/>
        <variable name="Ar_d000" units="J_per_mol"/>
        <variable name="Ar_d010" units="J_per_mol"/>
        <variable name="Af_d010" units="J_per_mol"/>
        <variable name="Af_d020" units="J_per_mol"/>
        <variable name="Ar_d020" units="J_per_mol"/>
        <variable name="Af_f1_000" units="J_per_mol"/>
        <variable name="Ar_f1_000" units="J_per_mol"/>
        <variable name="Af_f2_000" units="J_per_mol"/>
        <variable name="Ar_f2_000" units="J_per_mol"/>
        <variable name="Af_f3_010" units="J_per_mol"/>
        <variable name="Ar_f3_010" units="J_per_mol"/>
        <variable name="Af_f1_100" units="J_per_mol"/>
        <variable name="Ar_f1_100" units="J_per_mol"/>
        <variable name="Af_f2_100" units="J_per_mol"/>
        <variable name="Ar_f2_100" units="J_per_mol"/>
        <variable name="Af_f3_110" units="J_per_mol"/>
        <variable name="Ar_f3_110" units="J_per_mol"/>
        <variable name="Af_d001" units="J_per_mol"/>
        <variable name="Ar_d001" units="J_per_mol"/>
        <variable name="Af_d011" units="J_per_mol"/>
        <variable name="Ar_d011" units="J_per_mol"/>
        <variable name="Af_d021" units="J_per_mol"/>
        <variable name="Ar_d021" units="J_per_mol"/>
        <variable name="Af_f1_001" units="J_per_mol"/>
        <variable name="Ar_f1_001" units="J_per_mol"/>
        <variable name="Af_f2_001" units="J_per_mol"/>
        <variable name="Ar_f2_001" units="J_per_mol"/>
        <variable name="Af_f3_011" units="J_per_mol"/>
        <variable name="Ar_f3_011" units="J_per_mol"/>
        <variable name="Af_f1_101" units="J_per_mol"/>
        <variable name="Ar_f1_101" units="J_per_mol"/>
        <variable name="Af_f2_101" units="J_per_mol"/>
        <variable name="Ar_f2_101" units="J_per_mol"/>
        <variable name="Af_f3_111" units="J_per_mol"/>
        <variable name="Ar_f3_111" units="J_per_mol"/>
        <!-- velocities-->
        <variable name="v_fCa00" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_fCa01" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_fCa02" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_fCa10" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_fCa11" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_fCa12" public_interface="out" units="fmol_per_sec"/>
        <variable name="v_f1_000" units="fmol_per_sec"/>
        <variable name="v_f2_000" units="fmol_per_sec"/>
        <variable name="v_f3_010" units="fmol_per_sec"/>
        <variable name="v_f1_100" units="fmol_per_sec"/>
        <variable name="v_f2_100" units="fmol_per_sec"/>
        <variable name="v_f3_110" units="fmol_per_sec"/>
        <variable name="v_d000" units="fmol_per_sec"/>
        <variable name="v_d010" units="fmol_per_sec"/>
        <variable name="v_d020" units="fmol_per_sec"/>
        <variable name="v_d001" units="fmol_per_sec"/>
        <variable name="v_d011" units="fmol_per_sec"/>
        <variable name="v_d021" units="fmol_per_sec"/>
        <variable name="v_f1_001" units="fmol_per_sec"/>
        <variable name="v_f2_001" units="fmol_per_sec"/>
        <variable name="v_f3_011" units="fmol_per_sec"/>
        <variable name="v_f1_101" units="fmol_per_sec"/>
        <variable name="v_f2_101" units="fmol_per_sec"/>
        <variable name="v_f3_111" units="fmol_per_sec"/>
        <variable name="v_S000_LCC" units="fmol_per_sec"/>
        <variable name="v_S010_LCC" units="fmol_per_sec"/>
        <variable name="v_S020_LCC" units="fmol_per_sec"/>
        <variable name="v_S100_LCC" units="fmol_per_sec"/>
        <variable name="v_S110_LCC" units="fmol_per_sec"/>
        <variable name="v_S120_LCC" units="fmol_per_sec"/>
        <variable name="v_S001_LCC" units="fmol_per_sec"/>
        <variable name="v_S011_LCC" units="fmol_per_sec"/>
        <variable name="v_S021_LCC" units="fmol_per_sec"/>
        <variable name="v_S101_LCC" units="fmol_per_sec"/>
        <variable name="v_S111_LCC" units="fmol_per_sec"/>
        <variable name="v_S121_LCC" units="fmol_per_sec"/>
        <!-- zf and zr-->
        <variable initial_value="2" name="zCa" units="dimensionless"/>
        <variable initial_value="2.1404" name="z_fd" units="dimensionless"/>
        <variable initial_value="-1.1495" name="z_ff1" units="dimensionless"/>
        <variable initial_value="0.72162" name="z_ff2" units="dimensionless"/>
        <variable initial_value="4.2933" name="z_ff3" units="dimensionless"/>
        <variable initial_value="-2.1404" name="z_rd" units="dimensionless"/>
        <variable initial_value="1.8993" name="z_rf1" units="dimensionless"/>
        <variable initial_value="-0.52288" name="z_rf2" units="dimensionless"/>
        <variable initial_value="0" name="z_rf3" units="dimensionless"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Af_fCa00</ci>
                <ci>mu_S000_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_fCa00</ci>
                <apply>
                    <plus/>
                    <ci>mu_S001_LCC</ci>
                    <apply>
                        <times/>
                        <ci>zCa</ci>
                        <ci>mu_Cai</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_fCa00</ci>
                <apply>
                    <times/>
                    <ci>kappa_fCa00</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_fCa00</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_fCa00</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_fCa01</ci>
                <ci>mu_S010_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_fCa01</ci>
                <apply>
                    <plus/>
                    <ci>mu_S011_LCC</ci>
                    <apply>
                        <times/>
                        <ci>zCa</ci>
                        <ci>mu_Cai</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_fCa01</ci>
                <apply>
                    <times/>
                    <ci>kappa_fCa01</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_fCa01</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_fCa01</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_fCa02</ci>
                <ci>mu_S020_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_fCa02</ci>
                <apply>
                    <plus/>
                    <ci>mu_S021_LCC</ci>
                    <apply>
                        <times/>
                        <ci>zCa</ci>
                        <ci>mu_Cai</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_fCa02</ci>
                <apply>
                    <times/>
                    <ci>kappa_fCa02</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_fCa02</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_fCa02</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_fCa10</ci>
                <ci>mu_S100_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_fCa10</ci>
                <apply>
                    <plus/>
                    <ci>mu_S101_LCC</ci>
                    <apply>
                        <times/>
                        <ci>zCa</ci>
                        <ci>mu_Cai</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_fCa10</ci>
                <apply>
                    <times/>
                    <ci>kappa_fCa10</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_fCa10</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_fCa10</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_fCa11</ci>
                <ci>mu_S110_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_fCa11</ci>
                <apply>
                    <plus/>
                    <ci>mu_S111_LCC</ci>
                    <apply>
                        <times/>
                        <ci>zCa</ci>
                        <ci>mu_Cai</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_fCa11</ci>
                <apply>
                    <times/>
                    <ci>kappa_fCa11</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_fCa11</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_fCa11</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_fCa12</ci>
                <ci>mu_S120_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_fCa12</ci>
                <apply>
                    <plus/>
                    <ci>mu_S121_LCC</ci>
                    <apply>
                        <times/>
                        <ci>zCa</ci>
                        <ci>mu_Cai</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_fCa12</ci>
                <apply>
                    <times/>
                    <ci>kappa_fCa12</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_fCa12</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_fCa12</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- -->
            <apply>
                <eq/>
                <ci>Af_d000</ci>
                <apply>
                    <plus/>
                    <ci>mu_S000_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_fd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_d000</ci>
                <apply>
                    <plus/>
                    <ci>mu_S100_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_d000</ci>
                <apply>
                    <times/>
                    <ci>kappa_d000</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_d000</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_d000</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_d010</ci>
                <apply>
                    <plus/>
                    <ci>mu_S010_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_fd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_d010</ci>
                <apply>
                    <plus/>
                    <ci>mu_S110_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_d010</ci>
                <apply>
                    <times/>
                    <ci>kappa_d010</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_d010</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_d010</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_d020</ci>
                <apply>
                    <plus/>
                    <ci>mu_S020_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_fd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_d020</ci>
                <apply>
                    <plus/>
                    <ci>mu_S120_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_d020</ci>
                <apply>
                    <times/>
                    <ci>kappa_d020</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_d020</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_d020</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f1_000</ci>
                <apply>
                    <plus/>
                    <ci>mu_S000_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff1</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f1_000</ci>
                <apply>
                    <plus/>
                    <ci>mu_S010_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf1</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f1_000</ci>
                <apply>
                    <times/>
                    <ci>kappa_f1_000</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f1_000</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f1_000</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f2_000</ci>
                <apply>
                    <plus/>
                    <ci>mu_S000_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff2</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f2_000</ci>
                <apply>
                    <plus/>
                    <ci>mu_S020_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf2</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f2_000</ci>
                <apply>
                    <times/>
                    <ci>kappa_f2_000</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f2_000</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f2_000</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f3_010</ci>
                <apply>
                    <plus/>
                    <ci>mu_S010_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff3</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f3_010</ci>
                <apply>
                    <plus/>
                    <ci>mu_S020_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf3</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f3_010</ci>
                <apply>
                    <times/>
                    <ci>kappa_f3_010</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f3_010</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f3_010</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f1_100</ci>
                <apply>
                    <plus/>
                    <ci>mu_S100_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff1</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f1_100</ci>
                <apply>
                    <plus/>
                    <ci>mu_S110_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf1</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f1_100</ci>
                <apply>
                    <times/>
                    <ci>kappa_f1_100</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f1_100</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f1_100</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f2_100</ci>
                <apply>
                    <plus/>
                    <ci>mu_S100_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff2</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f2_100</ci>
                <apply>
                    <plus/>
                    <ci>mu_S120_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf2</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f2_100</ci>
                <apply>
                    <times/>
                    <ci>kappa_f2_100</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f2_100</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f2_100</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f3_110</ci>
                <apply>
                    <plus/>
                    <ci>mu_S110_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff3</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f3_110</ci>
                <apply>
                    <plus/>
                    <ci>mu_S120_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf3</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f3_110</ci>
                <apply>
                    <times/>
                    <ci>kappa_f3_110</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f3_110</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f3_110</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_d001</ci>
                <apply>
                    <plus/>
                    <ci>mu_S001_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_fd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_d001</ci>
                <apply>
                    <plus/>
                    <ci>mu_S101_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_d001</ci>
                <apply>
                    <times/>
                    <ci>kappa_d001</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_d001</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_d001</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_d011</ci>
                <apply>
                    <plus/>
                    <ci>mu_S011_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_fd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_d011</ci>
                <apply>
                    <plus/>
                    <ci>mu_S111_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_d011</ci>
                <apply>
                    <times/>
                    <ci>kappa_d011</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_d011</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_d011</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_d021</ci>
                <apply>
                    <plus/>
                    <ci>mu_S021_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_fd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_d021</ci>
                <apply>
                    <plus/>
                    <ci>mu_S121_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rd</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_d021</ci>
                <apply>
                    <times/>
                    <ci>kappa_d021</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_d021</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_d021</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f1_001</ci>
                <apply>
                    <plus/>
                    <ci>mu_S001_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff1</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f1_001</ci>
                <apply>
                    <plus/>
                    <ci>mu_S011_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf1</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f1_001</ci>
                <apply>
                    <times/>
                    <ci>kappa_f1_001</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f1_001</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f1_001</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f2_001</ci>
                <apply>
                    <plus/>
                    <ci>mu_S001_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff2</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f2_001</ci>
                <apply>
                    <plus/>
                    <ci>mu_S021_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf2</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f2_001</ci>
                <apply>
                    <times/>
                    <ci>kappa_f2_001</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f2_001</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f2_001</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f3_011</ci>
                <apply>
                    <plus/>
                    <ci>mu_S011_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff3</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f3_011</ci>
                <apply>
                    <plus/>
                    <ci>mu_S021_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf3</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f3_011</ci>
                <apply>
                    <times/>
                    <ci>kappa_f3_011</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f3_011</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f3_011</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f1_101</ci>
                <apply>
                    <plus/>
                    <ci>mu_S101_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff1</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f1_101</ci>
                <apply>
                    <plus/>
                    <ci>mu_S111_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf1</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f1_101</ci>
                <apply>
                    <times/>
                    <ci>kappa_f1_101</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f1_101</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f1_101</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f2_101</ci>
                <apply>
                    <plus/>
                    <ci>mu_S101_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff2</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f2_101</ci>
                <apply>
                    <plus/>
                    <ci>mu_S121_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf2</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f2_101</ci>
                <apply>
                    <times/>
                    <ci>kappa_f2_101</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f2_101</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f2_101</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_f3_111</ci>
                <apply>
                    <plus/>
                    <ci>mu_S111_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_ff3</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_f3_111</ci>
                <apply>
                    <plus/>
                    <ci>mu_S121_LCC</ci>
                    <apply>
                        <times/>
                        <ci>z_rf3</ci>
                        <ci>F</ci>
                        <ci>Vmem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_f3_111</ci>
                <apply>
                    <times/>
                    <ci>kappa_f3_111</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_f3_111</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_f3_111</ci>
                                <ci>RT</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S000_LCC-->
            <apply>
                <eq/>
                <ci>v_S000_LCC</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <ci>v_d000</ci>
                            </apply>
                            <ci>v_f1_000</ci>
                        </apply>
                        <ci>v_f2_000</ci>
                    </apply>
                    <ci>v_fCa00</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S000_LCC</ci>
                </apply>
                <ci>v_S000_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S000_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_000_LCC</ci>
                            <ci>q_S000_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S010_LCC-->
            <apply>
                <eq/>
                <ci>v_S010_LCC</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <ci>v_d010</ci>
                            </apply>
                            <ci>v_f3_010</ci>
                        </apply>
                        <ci>v_f1_100</ci>
                    </apply>
                    <ci>v_fCa01</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S010_LCC</ci>
                </apply>
                <ci>v_S010_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S010_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_010_LCC</ci>
                            <ci>q_S010_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S020_LCC-->
            <apply>
                <eq/>
                <ci>v_S020_LCC</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <apply>
                            <minus/>
                            <ci>v_d020</ci>
                        </apply>
                        <ci>v_f3_010</ci>
                        <ci>v_f2_000</ci>
                    </apply>
                    <ci>v_fCa02</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S020_LCC</ci>
                </apply>
                <ci>v_S020_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S020_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_020_LCC</ci>
                            <ci>q_S020_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S100_LCC-->
            <apply>
                <eq/>
                <ci>v_S100_LCC</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <ci>v_f2_100</ci>
                            </apply>
                            <ci>v_d000</ci>
                        </apply>
                        <ci>v_f1_100</ci>
                    </apply>
                    <ci>v_fCa10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S100_LCC</ci>
                </apply>
                <ci>v_S100_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S100_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_100_LCC</ci>
                            <ci>q_S100_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S110_LCC-->
            <apply>
                <eq/>
                <ci>v_S110_LCC</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <ci>v_f1_100</ci>
                            <ci>v_d010</ci>
                        </apply>
                        <ci>v_fCa11</ci>
                    </apply>
                    <ci>v_f3_110</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S110_LCC</ci>
                </apply>
                <ci>v_S110_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S110_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_110_LCC</ci>
                            <ci>q_S110_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S120_LCC-->
            <apply>
                <eq/>
                <ci>v_S120_LCC</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <ci>v_f2_100</ci>
                            <ci>v_d020</ci>
                        </apply>
                        <ci>v_fCa12</ci>
                    </apply>
                    <ci>v_f3_110</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S120_LCC</ci>
                </apply>
                <ci>v_S120_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S120_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_120_LCC</ci>
                            <ci>q_S120_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S001_LCC-->
            <apply>
                <eq/>
                <ci>v_S001_LCC</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <apply>
                                <minus/>
                                <ci>v_d001</ci>
                            </apply>
                            <ci>v_f1_001</ci>
                        </apply>
                        <ci>v_f2_001</ci>
                    </apply>
                    <ci>v_fCa00</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S001_LCC</ci>
                </apply>
                <ci>v_S001_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S001_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_001_LCC</ci>
                            <ci>q_S001_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S011_LCC-->
            <apply>
                <eq/>
                <ci>v_S011_LCC</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <minus/>
                            <ci>v_d011</ci>
                        </apply>
                        <ci>v_f3_011</ci>
                    </apply>
                    <ci>v_f1_101</ci>
                    <ci>v_fCa01</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S011_LCC</ci>
                </apply>
                <ci>v_S011_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S011_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_011_LCC</ci>
                            <ci>q_S011_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S021_LCC-->
            <apply>
                <eq/>
                <ci>v_S021_LCC</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_d021</ci>
                    </apply>
                    <ci>v_f3_011</ci>
                    <ci>v_f2_001</ci>
                    <ci>v_fCa02</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S021_LCC</ci>
                </apply>
                <ci>v_S021_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S021_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_021_LCC</ci>
                            <ci>q_S021_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S101_LCC-->
            <apply>
                <eq/>
                <ci>v_S101_LCC</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <apply>
                                <minus/>
                                <ci>v_f2_101</ci>
                            </apply>
                            <ci>v_d001</ci>
                        </apply>
                        <ci>v_f1_101</ci>
                    </apply>
                    <ci>v_fCa10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S101_LCC</ci>
                </apply>
                <ci>v_S101_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S101_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_101_LCC</ci>
                            <ci>q_S101_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S111_LCC-->
            <apply>
                <eq/>
                <ci>v_S111_LCC</ci>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>v_f1_101</ci>
                        <ci>v_d011</ci>
                        <ci>v_fCa11</ci>
                    </apply>
                    <ci>v_f3_111</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S111_LCC</ci>
                </apply>
                <ci>v_S111_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S111_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_111_LCC</ci>
                            <ci>q_S111_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <!-- C:S121_LCC-->
            <apply>
                <eq/>
                <ci>v_S121_LCC</ci>
                <apply>
                    <plus/>
                    <ci>v_f2_101</ci>
                    <ci>v_d021</ci>
                    <ci>v_fCa12</ci>
                    <ci>v_f3_111</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_S121_LCC</ci>
                </apply>
                <ci>v_S121_LCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>mu_S121_LCC</ci>
                <apply>
                    <times/>
                    <ci>RT</ci>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_121_LCC</ci>
                            <ci>q_S121_LCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="membrane" component_2="BG_LCC"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="RT" variable_2="RT"/>
        <map_variables variable_1="F" variable_2="F"/>
        <map_variables variable_1="q_Cai" variable_2="q_Cai"/>
        <map_variables variable_1="q_Cao" variable_2="q_Cao"/>
        <map_variables variable_1="q_Ki" variable_2="q_Ki"/>
        <map_variables variable_1="q_Ko" variable_2="q_Ko"/>
        <map_variables variable_1="q_Nai" variable_2="q_Nai"/>
        <map_variables variable_1="q_Nao" variable_2="q_Nao"/>
        <map_variables variable_1="q_membrane" variable_2="q_E"/>
        <map_variables variable_1="C_m" variable_2="C_m"/>
        <map_variables variable_1="vol_o" variable_2="vol_o"/>
        <map_variables variable_1="v_CaGHK_i" variable_2="v_CaGHK_i"/>
        <map_variables variable_1="v_CaGHK_o" variable_2="v_CaGHK_o"/>
        <map_variables variable_1="v_KGHK_i" variable_2="v_KGHK_i"/>
        <map_variables variable_1="v_KGHK_o" variable_2="v_KGHK_o"/>
        <map_variables variable_1="v_NaGHK_i" variable_2="v_NaGHK_i"/>
        <map_variables variable_1="v_NaGHK_o" variable_2="v_NaGHK_o"/>
        <map_variables variable_1="zCa" variable_2="zCa"/>
        <map_variables variable_1="zNa" variable_2="zNa"/>
        <map_variables variable_1="zK" variable_2="zK"/>
    </connection>
    <connection>
        <map_components component_1="BG_LCC" component_2="LCC_states_BG"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="F" variable_2="F"/>
        <map_variables variable_1="RT" variable_2="RT"/>
        <map_variables variable_1="mu_E" variable_2="Vmem"/>
        <map_variables variable_1="mu_Cai" variable_2="mu_Cai"/>
        <map_variables variable_1="mu_S111" variable_2="mu_S111_LCC"/>
        <map_variables variable_1="mu_S121" variable_2="mu_S121_LCC"/>
        <map_variables variable_1="v_fCa00" variable_2="v_fCa00"/>
        <map_variables variable_1="v_fCa01" variable_2="v_fCa01"/>
        <map_variables variable_1="v_fCa02" variable_2="v_fCa02"/>
        <map_variables variable_1="v_fCa10" variable_2="v_fCa10"/>
        <map_variables variable_1="v_fCa11" variable_2="v_fCa11"/>
        <map_variables variable_1="v_fCa12" variable_2="v_fCa12"/>
    </connection>
    <group>
        <relationship_ref relationship="encapsulation"/>
        <component_ref component="BG_LCC">
            <component_ref component="LCC_states_BG"/>
        </component_ref>
    </group>
</model>