Location: BG_TCC @ 49ac53e058fe / BG_TCC.cellml

Author:
Shelley Fong <s.fong@auckland.ac.nz>
Date:
2022-03-08 11:06:36+13:00
Desc:
RT to R*T
Permanent Source URI:
https://models.cellml.org/workspace/831/rawfile/49ac53e058fee513c171ac045999f3a46224794e/BG_TCC.cellml

<?xml version='1.0' encoding='UTF-8'?>
<!-- T-type calcium channel-->
<model name="BG_TCC_model" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="units_and_constants/units_BG.cellml">
        <units name="mM" units_ref="mM"/>
        <units name="fmol" units_ref="fmol"/>
        <units name="per_fmol" units_ref="per_fmol"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
        <units name="fmol_per_sec" units_ref="fmol_per_sec"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="J_per_C" units_ref="J_per_C"/>
        <units name="microm3" units_ref="microm3"/>
        <units name="fF" units_ref="fF"/>
        <units name="fC" units_ref="fC"/>
        <units name="fA" units_ref="fA"/>
    </import>
    <units name="microm3">
        <unit exponent="3" prefix="micro" units="metre"/>
    </units>
    <component name="environment">
        <variable name="time" public_interface="out" units="second"/>
        <variable initial_value="1.0e6" name="C_m" public_interface="out" units="fF"/>
        <variable initial_value="0.04653" name="q_Ca_o" public_interface="out" units="fmol"/>
        <variable initial_value="0.000001551" name="q_Ca_i" public_interface="out" units="fmol"/>
        <variable initial_value="1e4" name="vol_o" public_interface="out" units="microm3"/>
        <variable initial_value="-8.5e4" name="q_mem" public_interface="out" units="fC"/>
        <variable name="V_mem" units="volt"/>
        <variable initial_value="8.31" name="R" public_interface="out" units="J_per_K_per_mol"/>
        <variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
        <variable initial_value="96500" name="F" public_interface="out" units="C_per_mol"/>
        <variable name="v_TCC" public_interface="in" units="fmol_per_sec"/>
        <variable name="I_mem_TCC" public_interface="in" units="fA"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Ca_i</ci>
                </apply>
                <apply>
                    <minus/>
                    <ci>v_TCC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_Ca_o</ci>
                </apply>
                <ci>v_TCC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>time</ci>
                    </bvar>
                    <ci>q_mem</ci>
                </apply>
                <ci>I_mem_TCC</ci>
            </apply>
            <apply>
                <eq/>
                <ci>V_mem</ci>
                <apply>
                    <divide/>
                    <ci>q_mem</ci>
                    <ci>C_m</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="TCC_parameters">
        <variable initial_value="3667.46" name="kappa_TCC" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="54.3421" name="kappa_b00" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="2.00823" name="kappa_b01" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="147.348" name="kappa_b10" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="5.44529" name="kappa_b11" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.363554" name="kappa_g00" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1.97154" name="kappa_g10" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="2.6729" name="kappa_g20" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1.59367" name="K_Ca_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="11.6865" name="K_Ca_o" public_interface="out" units="per_fmol"/>
        <variable initial_value="4.87717" name="K_S00_TCC" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.899355" name="K_S10_TCC" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.663368" name="K_S20_TCC" public_interface="out" units="per_fmol"/>
        <variable initial_value="131.975" name="K_S01_TCC" public_interface="out" units="per_fmol"/>
        <variable initial_value="24.3362" name="K_S11_TCC" public_interface="out" units="per_fmol"/>
        <variable initial_value="17.9505" name="K_S21_TCC" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.342985" name="z_bf" public_interface="out" units="dimensionless"/>
        <variable initial_value="-0.450091" name="z_gf" public_interface="out" units="dimensionless"/>
        <variable initial_value="-0.27751" name="z_br" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.375201" name="z_gr" public_interface="out" units="dimensionless"/>
        <variable initial_value="2" name="zCa" public_interface="out" units="dimensionless"/>
    </component>
    <component name="TCC">
        <variable name="t" public_interface="in" units="second"/>
        <variable name="R" public_interface="in" units="J_per_K_per_mol"/>
        <variable name="T" public_interface="in" units="kelvin"/>
        <variable name="zCa" public_interface="in" units="dimensionless"/>
        <variable name="F" public_interface="in" units="C_per_mol"/>
        <variable name="C_m" public_interface="in" units="fF"/>
        <variable name="kappa_TCC" public_interface="in" units="fmol_per_sec"/>
        <variable name="K_Ca_i" public_interface="in" units="per_fmol"/>
        <variable name="K_Ca_o" public_interface="in" units="per_fmol"/>
        <variable name="vol_o" public_interface="in" units="microm3"/>
        <!-- state variables-->
        <variable name="q_Ca_i" public_interface="in" units="fmol"/>
        <variable name="q_Ca_o" public_interface="in" units="fmol"/>
        <variable name="q_mem" public_interface="in" units="fC"/>
        <variable name="v_TCC" public_interface="out" units="fmol_per_sec"/>
        <variable name="I_mem_TCC" public_interface="out" units="fA"/>
        <variable name="u_Ca_i" units="J_per_mol"/>
        <variable name="u_Ca_o" units="J_per_mol"/>
        <variable name="V_mem" units="J_per_C"/>
        <variable name="Am_TCC" units="J_per_mol"/>
        <variable name="Af_Ca" units="J_per_mol"/>
        <variable name="Ar_Ca" units="J_per_mol"/>
        <!-- Constitutive relations - Convention: positive flow from inside to outside-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Am_TCC</ci>
                <apply>
                    <times/>
                    <ci>F</ci>
                    <ci>V_mem</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_Ca_i</ci>
                <apply>
                    <times/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ca_i</ci>
                            <ci>q_Ca_i</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>u_Ca_o</ci>
                <apply>
                    <times/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_Ca_o</ci>
                            <ci>q_Ca_o</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_Ca</ci>
                <apply>
                    <plus/>
                    <ci>mu_s21_TCC</ci>
                    <ci>u_Ca_i</ci>
                    <ci>Am_TCC</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_Ca</ci>
                <apply>
                    <plus/>
                    <ci>mu_s21_TCC</ci>
                    <ci>u_Ca_o</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_TCC</ci>
                <piecewise>
                    <piece>
                        <apply>
                            <times/>
                            <ci>kappa_TCC</ci>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_Ca</ci>
                                        <apply>
                                            <times/>
                                            <ci>R</ci>
                                            <ci>T</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_Ca</ci>
                                        <apply>
                                            <times/>
                                            <ci>R</ci>
                                            <ci>T</ci>
                                        </apply>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <eq/>
                            <ci>Am_TCC</ci>
                            <cn cellml:units="J_per_mol">0</cn>
                        </apply>
                    </piece>
                    <otherwise>
                        <apply>
                            <times/>
                            <apply>
                                <divide/>
                                <apply>
                                    <divide/>
                                    <apply>
                                        <times/>
                                        <ci>kappa_TCC</ci>
                                        <ci>Am_TCC</ci>
                                    </apply>
                                    <apply>
                                        <times/>
                                        <ci>R</ci>
                                        <ci>T</ci>
                                    </apply>
                                </apply>
                                <apply>
                                    <minus/>
                                    <apply>
                                        <exp/>
                                        <apply>
                                            <divide/>
                                            <ci>Am_TCC</ci>
                                            <apply>
                                                <times/>
                                                <ci>R</ci>
                                                <ci>T</ci>
                                            </apply>
                                        </apply>
                                    </apply>
                                    <cn cellml:units="dimensionless">1</cn>
                                </apply>
                            </apply>
                            <apply>
                                <minus/>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Af_Ca</ci>
                                        <apply>
                                            <times/>
                                            <ci>R</ci>
                                            <ci>T</ci>
                                        </apply>
                                    </apply>
                                </apply>
                                <apply>
                                    <exp/>
                                    <apply>
                                        <divide/>
                                        <ci>Ar_Ca</ci>
                                        <apply>
                                            <times/>
                                            <ci>R</ci>
                                            <ci>T</ci>
                                        </apply>
                                    </apply>
                                </apply>
                            </apply>
                        </apply>
                    </otherwise>
                </piecewise>
            </apply>
            <apply>
                <eq/>
                <ci>V_mem</ci>
                <apply>
                    <divide/>
                    <ci>q_mem</ci>
                    <ci>C_m</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>I_mem_TCC</ci>
                <apply>
                    <times/>
                    <ci>F</ci>
                    <apply>
                        <plus/>
                        <apply>
                            <times/>
                            <apply>
                                <minus/>
                                <ci>zCa</ci>
                            </apply>
                            <ci>v_TCC</ci>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_b00</ci>
                            <apply>
                                <minus/>
                                <ci>z_br</ci>
                                <ci>z_bf</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_b10</ci>
                            <apply>
                                <minus/>
                                <ci>z_br</ci>
                                <ci>z_bf</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_b01</ci>
                            <apply>
                                <minus/>
                                <ci>z_br</ci>
                                <ci>z_bf</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_b11</ci>
                            <apply>
                                <minus/>
                                <ci>z_br</ci>
                                <ci>z_bf</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_g00</ci>
                            <apply>
                                <minus/>
                                <ci>z_gr</ci>
                                <ci>z_gf</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_g10</ci>
                            <apply>
                                <minus/>
                                <ci>z_gr</ci>
                                <ci>z_gf</ci>
                            </apply>
                        </apply>
                        <apply>
                            <times/>
                            <ci>v_g20</ci>
                            <apply>
                                <minus/>
                                <ci>z_gr</ci>
                                <ci>z_gf</ci>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
        </math>
        <!-- GATE-->
        <variable name="v_s00_TCC" units="fmol_per_sec"/>
        <variable name="v_s10_TCC" units="fmol_per_sec"/>
        <variable name="v_s20_TCC" units="fmol_per_sec"/>
        <variable name="v_s01_TCC" units="fmol_per_sec"/>
        <variable name="v_s11_TCC" units="fmol_per_sec"/>
        <variable name="v_s21_TCC" units="fmol_per_sec"/>
        <variable name="v_b00" units="fmol_per_sec"/>
        <variable name="v_b10" units="fmol_per_sec"/>
        <variable name="v_b01" units="fmol_per_sec"/>
        <variable name="v_b11" units="fmol_per_sec"/>
        <variable name="v_g00" units="fmol_per_sec"/>
        <variable name="v_g10" units="fmol_per_sec"/>
        <variable name="v_g20" units="fmol_per_sec"/>
        <variable name="mu_s00_TCC" units="J_per_mol"/>
        <variable name="mu_s10_TCC" units="J_per_mol"/>
        <variable name="mu_s20_TCC" units="J_per_mol"/>
        <variable name="mu_s01_TCC" units="J_per_mol"/>
        <variable name="mu_s11_TCC" units="J_per_mol"/>
        <variable name="mu_s21_TCC" units="J_per_mol"/>
        <variable name="Af_b00" units="J_per_mol"/>
        <variable name="Ar_b00" units="J_per_mol"/>
        <variable name="Af_b10" units="J_per_mol"/>
        <variable name="Ar_b10" units="J_per_mol"/>
        <variable name="Af_b01" units="J_per_mol"/>
        <variable name="Ar_b01" units="J_per_mol"/>
        <variable name="Af_b11" units="J_per_mol"/>
        <variable name="Ar_b11" units="J_per_mol"/>
        <variable name="Af_g00" units="J_per_mol"/>
        <variable name="Ar_g00" units="J_per_mol"/>
        <variable name="Af_g10" units="J_per_mol"/>
        <variable name="Ar_g10" units="J_per_mol"/>
        <variable name="Af_g20" units="J_per_mol"/>
        <variable name="Ar_g20" units="J_per_mol"/>
        <variable name="kappa_b00" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_b01" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_b10" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_b11" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_g00" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_g10" public_interface="in" units="fmol_per_sec"/>
        <variable name="kappa_g20" public_interface="in" units="fmol_per_sec"/>
        <variable name="K_S00_TCC" public_interface="in" units="per_fmol"/>
        <variable name="K_S10_TCC" public_interface="in" units="per_fmol"/>
        <variable name="K_S20_TCC" public_interface="in" units="per_fmol"/>
        <variable name="K_S01_TCC" public_interface="in" units="per_fmol"/>
        <variable name="K_S11_TCC" public_interface="in" units="per_fmol"/>
        <variable name="K_S21_TCC" public_interface="in" units="per_fmol"/>
        <variable name="z_bf" public_interface="in" units="dimensionless"/>
        <variable name="z_gf" public_interface="in" units="dimensionless"/>
        <variable name="z_br" public_interface="in" units="dimensionless"/>
        <variable name="z_gr" public_interface="in" units="dimensionless"/>
        <variable initial_value="0.999995" name="q_s00_TCC" units="fmol"/>
        <variable initial_value="1e-6" name="q_s10_TCC" units="fmol"/>
        <variable initial_value="1e-6" name="q_s20_TCC" units="fmol"/>
        <variable initial_value="1e-6" name="q_s01_TCC" units="fmol"/>
        <variable initial_value="1e-6" name="q_s11_TCC" units="fmol"/>
        <variable initial_value="1e-6" name="q_s21_TCC" units="fmol"/>
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <ci>Af_b00</ci>
                <apply>
                    <plus/>
                    <ci>mu_s00_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_bf</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_b00</ci>
                <apply>
                    <plus/>
                    <ci>mu_s10_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_br</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_b10</ci>
                <apply>
                    <plus/>
                    <ci>mu_s10_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_bf</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_b10</ci>
                <apply>
                    <plus/>
                    <ci>mu_s20_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_br</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_b01</ci>
                <apply>
                    <plus/>
                    <ci>mu_s01_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_bf</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_b01</ci>
                <apply>
                    <plus/>
                    <ci>mu_s11_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_br</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_b11</ci>
                <apply>
                    <plus/>
                    <ci>mu_s11_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_bf</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_b11</ci>
                <apply>
                    <plus/>
                    <ci>mu_s21_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_br</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_g00</ci>
                <apply>
                    <plus/>
                    <ci>mu_s00_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_gf</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_g00</ci>
                <apply>
                    <plus/>
                    <ci>mu_s01_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_gr</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_g10</ci>
                <apply>
                    <plus/>
                    <ci>mu_s10_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_gf</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_g10</ci>
                <apply>
                    <plus/>
                    <ci>mu_s11_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_gr</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Af_g20</ci>
                <apply>
                    <plus/>
                    <ci>mu_s20_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_gf</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>Ar_g20</ci>
                <apply>
                    <plus/>
                    <ci>mu_s21_TCC</ci>
                    <apply>
                        <times/>
                        <ci>z_gr</ci>
                        <ci>F</ci>
                        <ci>V_mem</ci>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_b00</ci>
                <apply>
                    <times/>
                    <ci>kappa_b00</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_b00</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_b00</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_b10</ci>
                <apply>
                    <times/>
                    <ci>kappa_b10</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_b10</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_b10</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_b01</ci>
                <apply>
                    <times/>
                    <ci>kappa_b01</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_b01</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_b01</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_b11</ci>
                <apply>
                    <times/>
                    <ci>kappa_b11</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_b11</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_b11</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_g00</ci>
                <apply>
                    <times/>
                    <ci>kappa_g00</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_g00</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_g00</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_g10</ci>
                <apply>
                    <times/>
                    <ci>kappa_g10</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_g10</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_g10</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_g20</ci>
                <apply>
                    <times/>
                    <ci>kappa_g20</ci>
                    <apply>
                        <minus/>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Af_g20</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                        <apply>
                            <exp/>
                            <apply>
                                <divide/>
                                <ci>Ar_g20</ci>
                                <apply>
                                    <times/>
                                    <ci>R</ci>
                                    <ci>T</ci>
                                </apply>
                            </apply>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_s00_TCC</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_b00</ci>
                    </apply>
                    <ci>v_g00</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_s10_TCC</ci>
                <apply>
                    <minus/>
                    <apply>
                        <minus/>
                        <ci>v_b00</ci>
                        <ci>v_b10</ci>
                    </apply>
                    <ci>v_g10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_s20_TCC</ci>
                <apply>
                    <minus/>
                    <ci>v_b10</ci>
                    <ci>v_g20</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_s01_TCC</ci>
                <apply>
                    <minus/>
                    <ci>v_g00</ci>
                    <ci>v_b01</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_s11_TCC</ci>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_b01</ci>
                        <ci>v_b11</ci>
                    </apply>
                    <ci>v_g10</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>v_s21_TCC</ci>
                <apply>
                    <plus/>
                    <ci>v_b11</ci>
                    <ci>v_g20</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_s00_TCC</ci>
                <apply>
                    <times/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S00_TCC</ci>
                            <ci>q_s00_TCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_s10_TCC</ci>
                <apply>
                    <times/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S10_TCC</ci>
                            <ci>q_s10_TCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_s20_TCC</ci>
                <apply>
                    <times/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S20_TCC</ci>
                            <ci>q_s20_TCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_s01_TCC</ci>
                <apply>
                    <times/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S01_TCC</ci>
                            <ci>q_s01_TCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_s11_TCC</ci>
                <apply>
                    <times/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S11_TCC</ci>
                            <ci>q_s11_TCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <ci>mu_s21_TCC</ci>
                <apply>
                    <times/>
                    <apply>
                        <times/>
                        <ci>R</ci>
                        <ci>T</ci>
                    </apply>
                    <apply>
                        <ln/>
                        <apply>
                            <times/>
                            <ci>K_S21_TCC</ci>
                            <ci>q_s21_TCC</ci>
                        </apply>
                    </apply>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_s00_TCC</ci>
                </apply>
                <ci>v_s00_TCC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_s10_TCC</ci>
                </apply>
                <ci>v_s10_TCC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_s20_TCC</ci>
                </apply>
                <ci>v_s20_TCC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_s01_TCC</ci>
                </apply>
                <ci>v_s01_TCC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_s11_TCC</ci>
                </apply>
                <ci>v_s11_TCC</ci>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_s21_TCC</ci>
                </apply>
                <ci>v_s21_TCC</ci>
            </apply>
        </math>
    </component>
    <connection>
        <map_components component_1="environment" component_2="TCC"/>
        <map_variables variable_1="time" variable_2="t"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="F" variable_2="F"/>
        <map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
        <map_variables variable_1="q_Ca_o" variable_2="q_Ca_o"/>
        <map_variables variable_1="q_mem" variable_2="q_mem"/>
        <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_TCC" variable_2="v_TCC"/>
        <map_variables variable_1="I_mem_TCC" variable_2="I_mem_TCC"/>
    </connection>
    <connection>
        <map_components component_1="TCC_parameters" component_2="TCC"/>
        <map_variables variable_1="kappa_TCC" variable_2="kappa_TCC"/>
        <map_variables variable_1="kappa_b00" variable_2="kappa_b00"/>
        <map_variables variable_1="kappa_b01" variable_2="kappa_b01"/>
        <map_variables variable_1="kappa_b10" variable_2="kappa_b10"/>
        <map_variables variable_1="kappa_b11" variable_2="kappa_b11"/>
        <map_variables variable_1="kappa_g00" variable_2="kappa_g00"/>
        <map_variables variable_1="kappa_g10" variable_2="kappa_g10"/>
        <map_variables variable_1="kappa_g20" variable_2="kappa_g20"/>
        <map_variables variable_1="K_Ca_i" variable_2="K_Ca_i"/>
        <map_variables variable_1="K_Ca_o" variable_2="K_Ca_o"/>
        <map_variables variable_1="K_S00_TCC" variable_2="K_S00_TCC"/>
        <map_variables variable_1="K_S10_TCC" variable_2="K_S10_TCC"/>
        <map_variables variable_1="K_S20_TCC" variable_2="K_S20_TCC"/>
        <map_variables variable_1="K_S01_TCC" variable_2="K_S01_TCC"/>
        <map_variables variable_1="K_S11_TCC" variable_2="K_S11_TCC"/>
        <map_variables variable_1="K_S21_TCC" variable_2="K_S21_TCC"/>
        <map_variables variable_1="z_bf" variable_2="z_bf"/>
        <map_variables variable_1="z_gf" variable_2="z_gf"/>
        <map_variables variable_1="z_br" variable_2="z_br"/>
        <map_variables variable_1="z_gr" variable_2="z_gr"/>
        <map_variables variable_1="zCa" variable_2="zCa"/>
    </connection>
</model>