Location: AndyCalciumSubsystem @ 077458727c35 / AndyBGCaSubsystem.cellml

Author:
Andy Lo <alo006@aucklanduni.ac.nz>
Date:
2023-06-11 22:30:49+12:00
Desc:
N/A
Permanent Source URI:
http://models.cellml.org/workspace/b13/rawfile/077458727c35644c994839e26102b527444555c2/AndyBGCaSubsystem.cellml

<?xml version='1.0' encoding='UTF-8'?>
<model name="AndyBGCaSubsystem" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
    <import xlink:href="units_and_constants/units_BG.cellml">
        <units name="mM" units_ref="mM"/>
        <units name="fmol" units_ref="fmol"/>
        <units name="per_fmol" units_ref="per_fmol"/>
        <units name="J_per_mol" units_ref="J_per_mol"/>
        <units name="fmol_per_sec" units_ref="fmol_per_sec"/>
        <units name="C_per_mol" units_ref="C_per_mol"/>
        <units name="J_per_C" units_ref="J_per_C"/>
        <units name="microm3" units_ref="microm3"/>
        <units name="fF" units_ref="fF"/>
        <units name="fC" units_ref="fC"/>
        <units name="fA" units_ref="fA"/>
        <units name="per_second" units_ref="per_second"/>
        <units name="millivolt" units_ref="millivolt"/>
        <units name="per_sec" units_ref="per_sec"/>
        <units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
        <units name="fmol_per_L" units_ref="fmol_per_L"/>
        <units name="fmol_per_L_per_sec" units_ref="fmol_per_L_per_sec"/>
        <units name="per_sec_per_fmol_per_L" units_ref="per_sec_per_fmol_per_L"/>
        <units name="uM" units_ref="uM"/>
        <units name="mM_per_sec" units_ref="mM_per_sec"/>
        <units name="uM_per_sec" units_ref="uM_per_sec"/>
        <units name="pL" units_ref="pL"/>
        <units name="m_to_u" units_ref="m_to_u"/>
    </import>
    <import xlink:href="units_and_constants/constants_BG.cellml">
        <component component_ref="constants" name="constants"/>
    </import>
    <import xlink:href="units_and_constants/ion_valency.cellml">
        <component component_ref="ion_valences" name="ion_valences"/>
    </import>
    <import xlink:href="BG_RyR_d.cellml">
        <component component_ref="RyR_d" name="RyR_d"/>
    </import>
    <import xlink:href="BG_SERCA.cellml">
        <component component_ref="SERCA" name="SERCA"/>
    </import>
    <import xlink:href="BG_NCX_sl.cellml">
        <component component_ref="NCX_sl" name="NCX_sl"/>
    </import>
    <import xlink:href="BG_NCX_d.cellml">
        <component component_ref="NCX_d" name="NCX_d"/>
    </import>
    <import xlink:href="BG_Ca_diff_d_i.cellml">
        <component component_ref="Ca_leak_d_i" name="Ca_leak_d_i"/>
    </import>
    <import xlink:href="BG_Ca_diff_i_sl.cellml">
        <component component_ref="Ca_leak_i_sl" name="Ca_leak_i_sl"/>
    </import>
    <import xlink:href="BG_Ca_diff_sl_i.cellml">
        <component component_ref="Ca_leak_sl_i" name="Ca_leak_sl_i"/>
    </import>
    <component name="Casubsystem_environment">
        <variable initial_value="0" name="t" public_interface="out" units="second"/>
        <!-- calcium concentration constant-->
        <variable initial_value="0.0002455" name="q_Ca_SR" public_interface="out" units="fmol"/>
        <variable initial_value="9.3276" name="q_Ca_o" public_interface="out" units="fmol"/>
        <variable initial_value="0.00456" name="q_Ca_i" public_interface="out" units="fmol"/>
        <variable initial_value="0.00000378129" name="q_Ca_d" public_interface="out" units="fmol"/>
        <variable initial_value="0.0001403" name="q_Ca_sl" public_interface="out" units="fmol"/>
        <!-- sodium concentration constant-->
        <variable initial_value="725.48" name="q_Na_o" public_interface="out" units="fmol"/>
        <variable initial_value="0.3151" name="q_Na_d" public_interface="out" units="fmol"/>
        <variable initial_value="11.6923" name="q_Na_sl" public_interface="out" units="fmol"/>
        <!-- initial values (RyR_d)-->
        <variable initial_value="2.9682830E-06" name="q_C_RyR_d" public_interface="out" units="fmol"/>
        <variable initial_value="2.9682830E-06" name="q_CI_RyR_d" public_interface="out" units="fmol"/>
        <variable initial_value="2.9682830E-06" name="q_I_RyR_d" public_interface="out" units="fmol"/>
        <variable initial_value="2.9682830E-06" name="q_O_RyR_d" public_interface="out" units="fmol"/>
        <!-- RyR_d imports-->
        <variable name="v_RyR_d" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_RyRgate_Ca_d" public_interface="in" units="fmol_per_sec"/>
        <!-- initial values (SERCA)-->
        <variable initial_value="0.004028" name="q_H" public_interface="out" units="fmol"/>
        <variable initial_value="570" name="q_Pi" public_interface="out" units="fmol"/>
        <variable initial_value="1.3794" name="q_MgADP" public_interface="out" units="fmol"/>
        <variable initial_value="3.8" name="q_MgATP" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P1_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P2_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P2a_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P4_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P5_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P10_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P6_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P8_SERCA" public_interface="out" units="fmol"/>
        <variable initial_value="0.11111" name="q_P9_SERCA" public_interface="out" units="fmol"/>
        <!-- SERCA imports-->
        <variable name="v_Ca_i_SERCA" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Ca_SR_SERCA" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_H_SERCA" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_MgADP_SERCA" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_MgATP_SERCA" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Pi_SERCA" public_interface="in" units="fmol_per_sec"/>
        <!-- Membrane clamp-->
        <variable initial_value="-0.07" name="V_mem_clamp" public_interface="out" units="volt"/>
        <!-- initial values (NCX_sl)-->
        <variable initial_value="0.00009212301" name="q_P1_NCX_sl" public_interface="out" units="fmol"/>
        <variable initial_value="0.00009212301" name="q_P2_NCX_sl" public_interface="out" units="fmol"/>
        <variable initial_value="0.00009212301" name="q_P3_NCX_sl" public_interface="out" units="fmol"/>
        <variable initial_value="0.00009212301" name="q_P4_NCX_sl" public_interface="out" units="fmol"/>
        <variable initial_value="0.00009212301" name="q_P5_NCX_sl" public_interface="out" units="fmol"/>
        <variable initial_value="0.00009212301" name="q_P6_NCX_sl" public_interface="out" units="fmol"/>
        <!-- NCX_sl imports-->
        <variable name="v_Ca_o_NCX_sl" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Ca_sl_NCX_sl" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Na_o_NCX_sl" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Na_sl_NCX_sl" public_interface="in" units="fmol_per_sec"/>
        <!-- initial values (NCX_d)-->
        <variable initial_value="0.00001138599" name="q_P1_NCX_d" public_interface="out" units="fmol"/>
        <variable initial_value="0.00001138599" name="q_P2_NCX_d" public_interface="out" units="fmol"/>
        <variable initial_value="0.00001138599" name="q_P3_NCX_d" public_interface="out" units="fmol"/>
        <variable initial_value="0.00001138599" name="q_P4_NCX_d" public_interface="out" units="fmol"/>
        <variable initial_value="0.00001138599" name="q_P5_NCX_d" public_interface="out" units="fmol"/>
        <variable initial_value="0.00001138599" name="q_P6_NCX_d" public_interface="out" units="fmol"/>
        <!-- NCX_d imports-->
        <variable name="v_Ca_o_NCX_d" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Ca_d_NCX_d" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Na_o_NCX_d" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_Na_d_NCX_d" public_interface="in" units="fmol_per_sec"/>
        <!-- Diffusion imports-->
        <variable name="v_leak_d_i" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_leak_i_sl" public_interface="in" units="fmol_per_sec"/>
        <variable name="v_leak_sl_i" public_interface="in" units="fmol_per_sec"/>
        <!-- ODEs-->
        <math xmlns="http://www.w3.org/1998/Math/MathML">
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ca_i</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <apply>
                            <plus/>
                            <ci>v_Ca_i_SERCA</ci>
                            <ci>v_leak_d_i</ci>
                        </apply>
                        <ci>v_leak_i_sl</ci>
                    </apply>
                    <ci>v_leak_sl_i</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ca_SR</ci>
                </apply>
                <apply>
                    <plus/>
                    <apply>
                        <minus/>
                        <ci>v_RyR_d</ci>
                    </apply>
                    <ci>v_Ca_SR_SERCA</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ca_d</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>v_RyR_d</ci>
                        <ci>v_RyRgate_Ca_d</ci>
                        <ci>v_Ca_d_NCX_d</ci>
                    </apply>
                    <ci>v_leak_d_i</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Ca_sl</ci>
                </apply>
                <apply>
                    <minus/>
                    <apply>
                        <plus/>
                        <ci>v_Ca_sl_NCX_sl</ci>
                        <ci>v_leak_i_sl</ci>
                    </apply>
                    <ci>v_leak_sl_i</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_H</ci>
                </apply>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">0</cn>
                    <ci>v_H_SERCA</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_MgADP</ci>
                </apply>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">0</cn>
                    <ci>v_MgADP_SERCA</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_MgATP</ci>
                </apply>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">0</cn>
                    <ci>v_MgATP_SERCA</ci>
                </apply>
            </apply>
            <apply>
                <eq/>
                <apply>
                    <diff/>
                    <bvar>
                        <ci>t</ci>
                    </bvar>
                    <ci>q_Pi</ci>
                </apply>
                <apply>
                    <times/>
                    <cn cellml:units="dimensionless">0</cn>
                    <ci>v_Pi_SERCA</ci>
                </apply>
            </apply>
        </math>
    </component>
    <component name="Casubsystem_parameters">
        <!-- RyR_d_parameters-->
        <variable initial_value="498020" name="kappa_RyR_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="5.01701" name="kappa_OC_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="6.61466" name="kappa_CCI_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="5.43605" name="kappa_CII_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.453004" name="kappa_IO_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="102.047" name="K_Ca_SR_RyR_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="66.2643" name="K_Ca_d_RyR_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.819033" name="K_C_RyR_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.755897" name="K_CI_RyR_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="11.0374" name="K_I_RyR_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="11.9593" name="K_O_RyR_d" public_interface="out" units="per_fmol"/>
        <!-- SERCA_parameters-->
        <variable initial_value="5263.6085" name="K_P1_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="410.6048" name="K_P10_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="3803.6518" name="K_P2_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="3110.4445" name="K_P2a_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="16520516.1239" name="K_P4_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.82914" name="K_P5_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="993148.433" name="K_P6_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="37.7379" name="K_P8_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="2230.2717" name="K_P9_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="1.9058" name="K_Ca_i_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="31.764" name="K_Ca_SR_SERCA" public_interface="out" units="per_fmol"/>
        <variable initial_value="1862.5406" name="K_H" public_interface="out" units="per_fmol"/>
        <variable initial_value="5.8126e-07" name="K_MgADP" public_interface="out" units="per_fmol"/>
        <variable initial_value="244.3021" name="K_MgATP" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.014921" name="K_Pi" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.049926" name="kappa_SERCA_R10_1" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.00053004" name="kappa_SERCA_R1_2" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="8326784.0537" name="kappa_SERCA_R2_2a" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1567.7476" name="kappa_SERCA_R2_4" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1567.7476" name="kappa_SERCA_R4_5" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="3063.4006" name="kappa_SERCA_R5_6" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="130852.3839" name="kappa_SERCA_R6_8" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="11612934.8748" name="kappa_SERCA_R8_9" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="11612934.8748" name="kappa_SERCA_R9_10" public_interface="out" units="fmol_per_sec"/>
        <!-- NCX_sl_parameters-->
        <variable initial_value="417309" name="kappa_1_NCX_sl" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1.39522e+07" name="kappa_2_NCX_sl" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="472.755" name="kappa_3_NCX_sl" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1.39522e+07" name="kappa_4_NCX_sl" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="417309" name="kappa_5_NCX_sl" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.370405" name="kappa_6_NCX_sl" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="2.93394e+08" name="K_1_NCX_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="14.1045" name="K_2_NCX_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="263471" name="K_3_NCX_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.39875e+06" name="K_4_NCX_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="2373.73" name="K_5_NCX_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="956.214" name="K_6_NCX_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0137751" name="K_Na_sl_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="10.2446" name="K_Ca_sl_NCX_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.470129" name="K_Na_o_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="7572.91" name="K_Ca_o_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="3" name="nNa_o_NCX_sl" public_interface="out" units="dimensionless"/>
        <variable initial_value="3" name="nNa_sl_NCX_sl" public_interface="out" units="dimensionless"/>
        <variable initial_value="-0.55679" name="zf_NCX_sl" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.44321" name="zr_NCX_sl" public_interface="out" units="dimensionless"/>
        <!-- NCX_d_parameters-->
        <variable initial_value="417309" name="kappa_1_NCX_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1.39522e+07" name="kappa_2_NCX_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="472.755" name="kappa_3_NCX_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="1.39522e+07" name="kappa_4_NCX_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="417309" name="kappa_5_NCX_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.370405" name="kappa_6_NCX_d" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="2.93394e+08" name="K_1_NCX_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="14.1045" name="K_2_NCX_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="263471" name="K_3_NCX_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="2.39875e+06" name="K_4_NCX_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="2373.73" name="K_5_NCX_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="956.214" name="K_6_NCX_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0137751" name="K_Na_d_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="10.2446" name="K_Ca_d_NCX_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.470129" name="K_Na_o_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="7572.91" name="K_Ca_o_d" public_interface="out" units="per_fmol"/>
        <variable initial_value="3" name="nNa_o_NCX_d" public_interface="out" units="dimensionless"/>
        <variable initial_value="3" name="nNa_d_NCX_d" public_interface="out" units="dimensionless"/>
        <variable initial_value="-0.55679" name="zf_NCX_d" public_interface="out" units="dimensionless"/>
        <variable initial_value="0.44321" name="zr_NCX_d" public_interface="out" units="dimensionless"/>
        <!--  Ca_leak_d_i_parameters-->
        <variable initial_value="100" name="kappa_leak_d_i" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.367039" name="K_Ca_d_d_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0323856" name="K_Ca_i_d_i" public_interface="out" units="per_fmol"/>
        <!--  Ca_leak_i_sl_parameters-->
        <variable initial_value="0.698143" name="kappa_leak_i_sl" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.367039" name="K_Ca_i_i_sl" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0323856" name="K_Ca_sl_i_sl" public_interface="out" units="per_fmol"/>
        <!--  Ca_leak_sl_i_parameters-->
        <variable initial_value="0.698143" name="kappa_leak_sl_i" public_interface="out" units="fmol_per_sec"/>
        <variable initial_value="0.367039" name="K_Ca_sl_sl_i" public_interface="out" units="per_fmol"/>
        <variable initial_value="0.0323856" name="K_Ca_i_sl_i" public_interface="out" units="per_fmol"/>
    </component>
    <connection>
        <map_components component_1="Casubsystem_environment" component_2="RyR_d"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="v_RyR_d" variable_2="v_RyR_d"/>
        <map_variables variable_1="v_RyRgate_Ca_d" variable_2="v_RyRgate_Ca_d"/>
        <map_variables variable_1="q_Ca_SR" variable_2="q_Ca_SR"/>
        <map_variables variable_1="q_Ca_d" variable_2="q_Ca_d"/>
        <map_variables variable_1="q_C_RyR_d" variable_2="q_C_RyR_d"/>
        <map_variables variable_1="q_O_RyR_d" variable_2="q_O_RyR_d"/>
        <map_variables variable_1="q_CI_RyR_d" variable_2="q_CI_RyR_d"/>
        <map_variables variable_1="q_I_RyR_d" variable_2="q_I_RyR_d"/>
    </connection>
    <connection>
        <map_components component_1="Casubsystem_environment" component_2="SERCA"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="q_H" variable_2="q_H"/>
        <map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
        <map_variables variable_1="q_Ca_SR" variable_2="q_Ca_SR"/>
        <map_variables variable_1="q_MgATP" variable_2="q_MgATP"/>
        <map_variables variable_1="q_MgADP" variable_2="q_MgADP"/>
        <map_variables variable_1="q_Pi" variable_2="q_Pi"/>
        <map_variables variable_1="v_Ca_i_SERCA" variable_2="v_Ca_i_SERCA"/>
        <map_variables variable_1="v_Ca_SR_SERCA" variable_2="v_Ca_SR_SERCA"/>
        <map_variables variable_1="v_H_SERCA" variable_2="v_H_SERCA"/>
        <map_variables variable_1="v_MgADP_SERCA" variable_2="v_MgADP_SERCA"/>
        <map_variables variable_1="v_MgATP_SERCA" variable_2="v_MgATP_SERCA"/>
        <map_variables variable_1="v_Pi_SERCA" variable_2="v_Pi_SERCA"/>
        <map_variables variable_1="q_P1_SERCA" variable_2="q_P1_SERCA"/>
        <map_variables variable_1="q_P2_SERCA" variable_2="q_P2_SERCA"/>
        <map_variables variable_1="q_P2a_SERCA" variable_2="q_P2a_SERCA"/>
        <map_variables variable_1="q_P4_SERCA" variable_2="q_P4_SERCA"/>
        <map_variables variable_1="q_P5_SERCA" variable_2="q_P5_SERCA"/>
        <map_variables variable_1="q_P6_SERCA" variable_2="q_P6_SERCA"/>
        <map_variables variable_1="q_P8_SERCA" variable_2="q_P8_SERCA"/>
        <map_variables variable_1="q_P9_SERCA" variable_2="q_P9_SERCA"/>
        <map_variables variable_1="q_P10_SERCA" variable_2="q_P10_SERCA"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="RyR_d"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="SERCA"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="NCX_sl"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="F" variable_2="F"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="NCX_d"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
        <map_variables variable_1="F" variable_2="F"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="Ca_leak_d_i"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="Ca_leak_i_sl"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
    <connection>
        <map_components component_1="constants" component_2="Ca_leak_sl_i"/>
        <map_variables variable_1="R" variable_2="R"/>
        <map_variables variable_1="T" variable_2="T"/>
    </connection>
    <connection>
        <map_components component_1="Casubsystem_environment" component_2="NCX_sl"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="q_Ca_o" variable_2="q_Ca_o"/>
        <map_variables variable_1="q_Ca_sl" variable_2="q_Ca_sl"/>
        <map_variables variable_1="q_Na_o" variable_2="q_Na_o"/>
        <map_variables variable_1="q_Na_sl" variable_2="q_Na_sl"/>
        <map_variables variable_1="q_P1_NCX_sl" variable_2="q_P1_NCX_sl"/>
        <map_variables variable_1="q_P2_NCX_sl" variable_2="q_P2_NCX_sl"/>
        <map_variables variable_1="q_P3_NCX_sl" variable_2="q_P3_NCX_sl"/>
        <map_variables variable_1="q_P4_NCX_sl" variable_2="q_P4_NCX_sl"/>
        <map_variables variable_1="q_P5_NCX_sl" variable_2="q_P5_NCX_sl"/>
        <map_variables variable_1="q_P6_NCX_sl" variable_2="q_P6_NCX_sl"/>
        <map_variables variable_1="v_Ca_o_NCX_sl" variable_2="v_Ca_o_NCX_sl"/>
        <map_variables variable_1="v_Ca_sl_NCX_sl" variable_2="v_Ca_sl_NCX_sl"/>
        <map_variables variable_1="v_Na_o_NCX_sl" variable_2="v_Na_o_NCX_sl"/>
        <map_variables variable_1="v_Na_sl_NCX_sl" variable_2="v_Na_sl_NCX_sl"/>
        <map_variables variable_1="V_mem_clamp" variable_2="V_mem_clamp"/>
    </connection>
    <connection>
        <map_components component_1="Casubsystem_environment" component_2="NCX_d"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="q_Ca_o" variable_2="q_Ca_o"/>
        <map_variables variable_1="q_Ca_d" variable_2="q_Ca_d"/>
        <map_variables variable_1="q_Na_o" variable_2="q_Na_o"/>
        <map_variables variable_1="q_Na_d" variable_2="q_Na_d"/>
        <map_variables variable_1="q_P1_NCX_d" variable_2="q_P1_NCX_d"/>
        <map_variables variable_1="q_P2_NCX_d" variable_2="q_P2_NCX_d"/>
        <map_variables variable_1="q_P3_NCX_d" variable_2="q_P3_NCX_d"/>
        <map_variables variable_1="q_P4_NCX_d" variable_2="q_P4_NCX_d"/>
        <map_variables variable_1="q_P5_NCX_d" variable_2="q_P5_NCX_d"/>
        <map_variables variable_1="q_P6_NCX_d" variable_2="q_P6_NCX_d"/>
        <map_variables variable_1="v_Ca_o_NCX_d" variable_2="v_Ca_o_NCX_d"/>
        <map_variables variable_1="v_Ca_d_NCX_d" variable_2="v_Ca_d_NCX_d"/>
        <map_variables variable_1="v_Na_o_NCX_d" variable_2="v_Na_o_NCX_d"/>
        <map_variables variable_1="v_Na_d_NCX_d" variable_2="v_Na_d_NCX_d"/>
        <map_variables variable_1="V_mem_clamp" variable_2="V_mem_clamp"/>
    </connection>
    <connection>
        <map_components component_1="Casubsystem_environment" component_2="Ca_leak_d_i"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="v_leak_d_i" variable_2="v_leak_d_i"/>
        <map_variables variable_1="q_Ca_d" variable_2="q_Ca_d"/>
        <map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
    </connection>
    <connection>
        <map_components component_1="Casubsystem_environment" component_2="Ca_leak_i_sl"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="v_leak_i_sl" variable_2="v_leak_i_sl"/>
        <map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
        <map_variables variable_1="q_Ca_sl" variable_2="q_Ca_sl"/>
    </connection>
    <connection>
        <map_components component_1="Casubsystem_environment" component_2="Ca_leak_sl_i"/>
        <map_variables variable_1="t" variable_2="t"/>
        <map_variables variable_1="v_leak_sl_i" variable_2="v_leak_sl_i"/>
        <map_variables variable_1="q_Ca_sl" variable_2="q_Ca_sl"/>
        <map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
    </connection>
    <connection>
        <map_components component_1="RyR_d" component_2="Casubsystem_parameters"/>
        <map_variables variable_1="kappa_RyR_d" variable_2="kappa_RyR_d"/>
        <map_variables variable_1="K_Ca_SR_RyR_d" variable_2="K_Ca_SR_RyR_d"/>
        <map_variables variable_1="K_Ca_d_RyR_d" variable_2="K_Ca_d_RyR_d"/>
        <map_variables variable_1="kappa_OC_d" variable_2="kappa_OC_d"/>
        <map_variables variable_1="kappa_CCI_d" variable_2="kappa_CCI_d"/>
        <map_variables variable_1="kappa_CII_d" variable_2="kappa_CII_d"/>
        <map_variables variable_1="kappa_IO_d" variable_2="kappa_IO_d"/>
        <map_variables variable_1="K_C_RyR_d" variable_2="K_C_RyR_d"/>
        <map_variables variable_1="K_CI_RyR_d" variable_2="K_CI_RyR_d"/>
        <map_variables variable_1="K_I_RyR_d" variable_2="K_I_RyR_d"/>
        <map_variables variable_1="K_O_RyR_d" variable_2="K_O_RyR_d"/>
    </connection>
    <connection>
        <map_components component_1="SERCA" component_2="Casubsystem_parameters"/>
        <map_variables variable_1="kappa_SERCA_R1_2" variable_2="kappa_SERCA_R1_2"/>
        <map_variables variable_1="kappa_SERCA_R2_4" variable_2="kappa_SERCA_R2_4"/>
        <map_variables variable_1="kappa_SERCA_R2_2a" variable_2="kappa_SERCA_R2_2a"/>
        <map_variables variable_1="kappa_SERCA_R4_5" variable_2="kappa_SERCA_R4_5"/>
        <map_variables variable_1="kappa_SERCA_R5_6" variable_2="kappa_SERCA_R5_6"/>
        <map_variables variable_1="kappa_SERCA_R6_8" variable_2="kappa_SERCA_R6_8"/>
        <map_variables variable_1="kappa_SERCA_R8_9" variable_2="kappa_SERCA_R8_9"/>
        <map_variables variable_1="kappa_SERCA_R9_10" variable_2="kappa_SERCA_R9_10"/>
        <map_variables variable_1="kappa_SERCA_R10_1" variable_2="kappa_SERCA_R10_1"/>
        <map_variables variable_1="K_P1_SERCA" variable_2="K_P1_SERCA"/>
        <map_variables variable_1="K_P2_SERCA" variable_2="K_P2_SERCA"/>
        <map_variables variable_1="K_P2a_SERCA" variable_2="K_P2a_SERCA"/>
        <map_variables variable_1="K_P4_SERCA" variable_2="K_P4_SERCA"/>
        <map_variables variable_1="K_P5_SERCA" variable_2="K_P5_SERCA"/>
        <map_variables variable_1="K_P6_SERCA" variable_2="K_P6_SERCA"/>
        <map_variables variable_1="K_P8_SERCA" variable_2="K_P8_SERCA"/>
        <map_variables variable_1="K_P9_SERCA" variable_2="K_P9_SERCA"/>
        <map_variables variable_1="K_P10_SERCA" variable_2="K_P10_SERCA"/>
        <map_variables variable_1="K_H" variable_2="K_H"/>
        <map_variables variable_1="K_Ca_i_SERCA" variable_2="K_Ca_i_SERCA"/>
        <map_variables variable_1="K_Ca_SR_SERCA" variable_2="K_Ca_SR_SERCA"/>
        <map_variables variable_1="K_MgATP" variable_2="K_MgATP"/>
        <map_variables variable_1="K_MgADP" variable_2="K_MgADP"/>
        <map_variables variable_1="K_Pi" variable_2="K_Pi"/>
    </connection>
    <connection>
        <map_components component_1="NCX_sl" component_2="Casubsystem_parameters"/>
        <map_variables variable_1="K_1_NCX_sl" variable_2="K_1_NCX_sl"/>
        <map_variables variable_1="K_2_NCX_sl" variable_2="K_2_NCX_sl"/>
        <map_variables variable_1="K_3_NCX_sl" variable_2="K_3_NCX_sl"/>
        <map_variables variable_1="K_4_NCX_sl" variable_2="K_4_NCX_sl"/>
        <map_variables variable_1="K_5_NCX_sl" variable_2="K_5_NCX_sl"/>
        <map_variables variable_1="K_6_NCX_sl" variable_2="K_6_NCX_sl"/>
        <map_variables variable_1="K_Ca_o_sl" variable_2="K_Ca_o_sl"/>
        <map_variables variable_1="K_Ca_sl_NCX_sl" variable_2="K_Ca_sl_NCX_sl"/>
        <map_variables variable_1="K_Na_o_sl" variable_2="K_Na_o_sl"/>
        <map_variables variable_1="K_Na_sl_sl" variable_2="K_Na_sl_sl"/>
        <map_variables variable_1="kappa_1_NCX_sl" variable_2="kappa_1_NCX_sl"/>
        <map_variables variable_1="kappa_2_NCX_sl" variable_2="kappa_2_NCX_sl"/>
        <map_variables variable_1="kappa_3_NCX_sl" variable_2="kappa_3_NCX_sl"/>
        <map_variables variable_1="kappa_4_NCX_sl" variable_2="kappa_4_NCX_sl"/>
        <map_variables variable_1="kappa_5_NCX_sl" variable_2="kappa_5_NCX_sl"/>
        <map_variables variable_1="kappa_6_NCX_sl" variable_2="kappa_6_NCX_sl"/>
        <map_variables variable_1="nNa_o_NCX_sl" variable_2="nNa_o_NCX_sl"/>
        <map_variables variable_1="nNa_sl_NCX_sl" variable_2="nNa_sl_NCX_sl"/>
        <map_variables variable_1="zf_NCX_sl" variable_2="zf_NCX_sl"/>
        <map_variables variable_1="zr_NCX_sl" variable_2="zr_NCX_sl"/>
    </connection>
    <connection>
        <map_components component_1="NCX_d" component_2="Casubsystem_parameters"/>
        <map_variables variable_1="K_1_NCX_d" variable_2="K_1_NCX_d"/>
        <map_variables variable_1="K_2_NCX_d" variable_2="K_2_NCX_d"/>
        <map_variables variable_1="K_3_NCX_d" variable_2="K_3_NCX_d"/>
        <map_variables variable_1="K_4_NCX_d" variable_2="K_4_NCX_d"/>
        <map_variables variable_1="K_5_NCX_d" variable_2="K_5_NCX_d"/>
        <map_variables variable_1="K_6_NCX_d" variable_2="K_6_NCX_d"/>
        <map_variables variable_1="K_Ca_o_d" variable_2="K_Ca_o_d"/>
        <map_variables variable_1="K_Ca_d_NCX_d" variable_2="K_Ca_d_NCX_d"/>
        <map_variables variable_1="K_Na_o_d" variable_2="K_Na_o_d"/>
        <map_variables variable_1="K_Na_d_d" variable_2="K_Na_d_d"/>
        <map_variables variable_1="kappa_1_NCX_d" variable_2="kappa_1_NCX_d"/>
        <map_variables variable_1="kappa_2_NCX_d" variable_2="kappa_2_NCX_d"/>
        <map_variables variable_1="kappa_3_NCX_d" variable_2="kappa_3_NCX_d"/>
        <map_variables variable_1="kappa_4_NCX_d" variable_2="kappa_4_NCX_d"/>
        <map_variables variable_1="kappa_5_NCX_d" variable_2="kappa_5_NCX_d"/>
        <map_variables variable_1="kappa_6_NCX_d" variable_2="kappa_6_NCX_d"/>
        <map_variables variable_1="nNa_o_NCX_d" variable_2="nNa_o_NCX_d"/>
        <map_variables variable_1="nNa_d_NCX_d" variable_2="nNa_d_NCX_d"/>
        <map_variables variable_1="zf_NCX_d" variable_2="zf_NCX_d"/>
        <map_variables variable_1="zr_NCX_d" variable_2="zr_NCX_d"/>
    </connection>
    <connection>
        <map_components component_1="Ca_leak_d_i" component_2="Casubsystem_parameters"/>
        <map_variables variable_1="kappa_leak_d_i" variable_2="kappa_leak_d_i"/>
        <map_variables variable_1="K_Ca_d_d_i" variable_2="K_Ca_d_d_i"/>
        <map_variables variable_1="K_Ca_i_d_i" variable_2="K_Ca_i_d_i"/>
    </connection>
    <connection>
        <map_components component_1="Ca_leak_i_sl" component_2="Casubsystem_parameters"/>
        <map_variables variable_1="kappa_leak_i_sl" variable_2="kappa_leak_i_sl"/>
        <map_variables variable_1="K_Ca_i_i_sl" variable_2="K_Ca_i_i_sl"/>
        <map_variables variable_1="K_Ca_sl_i_sl" variable_2="K_Ca_sl_i_sl"/>
    </connection>
    <connection>
        <map_components component_1="Ca_leak_sl_i" component_2="Casubsystem_parameters"/>
        <map_variables variable_1="kappa_leak_sl_i" variable_2="kappa_leak_sl_i"/>
        <map_variables variable_1="K_Ca_sl_sl_i" variable_2="K_Ca_sl_sl_i"/>
        <map_variables variable_1="K_Ca_i_sl_i" variable_2="K_Ca_i_sl_i"/>
    </connection>
</model>