Location: BG_CaL @ fba3104851dc / BG_LCC_ExportedFlat.cellml

Author:
Shelley Fong <sfon036@UoA.auckland.ac.nz>
Date:
2024-12-13 12:37:46+13:00
Desc:
Updating params to match LRd cell vol
Permanent Source URI:
https://staging.physiomeproject.org/workspace/6d7/rawfile/fba3104851dca35e628bdd705a25f5869d404cdb/BG_LCC_ExportedFlat.cellml

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 18/02/2022 at 11:50:53 at AM using:

COR (0.9.31.1409)
Copyright 2002-2022 Dr Alan Garny
http://cor.physiol.ox.ac.uk/ - cor@physiol.ox.ac.uk

CellML 1.0 was used to generate this model
http://www.cellml.org/
-->
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            <ci>v_Ca1</ci>
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               <piece>
                  <apply>
                     <times/>
                     <ci>kappa_Ca1</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Af_Ca1</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Ar_Ca1</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <eq/>
                     <ci>mu_mem_Ca</ci>
                     <cn cellml:units="J_per_mol">0</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>kappa_Ca1</ci>
                              <ci>mu_mem_Ca</ci>
                           </apply>
                           <ci>RT</ci>
                        </apply>
                        <apply>
                           <minus/>
                           <apply>
                              <exp/>
                              <apply>
                                 <divide/>
                                 <ci>mu_mem_Ca</ci>
                                 <ci>RT</ci>
                              </apply>
                           </apply>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Af_Ca1</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Ar_Ca1</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>v_Ca2</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <ci>kappa_Ca2</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Af_Ca2</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Ar_Ca2</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <eq/>
                     <ci>mu_mem_Ca</ci>
                     <cn cellml:units="J_per_mol">0</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>kappa_Ca2</ci>
                              <ci>mu_mem_Ca</ci>
                           </apply>
                           <ci>RT</ci>
                        </apply>
                        <apply>
                           <minus/>
                           <apply>
                              <exp/>
                              <apply>
                                 <divide/>
                                 <ci>mu_mem_Ca</ci>
                                 <ci>RT</ci>
                              </apply>
                           </apply>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Af_Ca2</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Ar_Ca2</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>v_K1</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <ci>kappa_K1</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Af_K1</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Ar_K1</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <eq/>
                     <ci>mu_mem_K</ci>
                     <cn cellml:units="J_per_mol">0</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>kappa_K1</ci>
                              <ci>mu_mem_K</ci>
                           </apply>
                           <ci>RT</ci>
                        </apply>
                        <apply>
                           <minus/>
                           <apply>
                              <exp/>
                              <apply>
                                 <divide/>
                                 <ci>mu_mem_K</ci>
                                 <ci>RT</ci>
                              </apply>
                           </apply>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Af_K1</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Ar_K1</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>v_K2</ci>
            <piecewise>
               <piece>
                  <apply>
                     <times/>
                     <ci>kappa_K2</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Af_K2</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Ar_K2</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <eq/>
                     <ci>mu_mem_K</ci>
                     <cn cellml:units="J_per_mol">0</cn>
                  </apply>
               </piece>
               <otherwise>
                  <apply>
                     <times/>
                     <apply>
                        <divide/>
                        <apply>
                           <divide/>
                           <apply>
                              <times/>
                              <ci>kappa_K2</ci>
                              <ci>mu_mem_K</ci>
                           </apply>
                           <ci>RT</ci>
                        </apply>
                        <apply>
                           <minus/>
                           <apply>
                              <exp/>
                              <apply>
                                 <divide/>
                                 <ci>mu_mem_K</ci>
                                 <ci>RT</ci>
                              </apply>
                           </apply>
                           <cn cellml:units="dimensionless">1</cn>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Af_K2</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                        <apply>
                           <exp/>
                           <apply>
                              <divide/>
                              <ci>Ar_K2</ci>
                              <ci>RT</ci>
                           </apply>
                        </apply>
                     </apply>
                  </apply>
               </otherwise>
            </piecewise>
         </apply>
         <apply>
            <eq/>
            <ci>v_Ca_fgate</ci>
            <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>
         </apply>
         <apply>
            <eq/>
            <ci>v_CaGHK_i</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <ci>v_Ca_fgate</ci>
                  <ci>v_Ca1</ci>
               </apply>
               <ci>v_Ca2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_CaGHK_o</ci>
            <apply>
               <plus/>
               <ci>v_Ca2</ci>
               <ci>v_Ca1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_KGHK_i</ci>
            <apply>
               <minus/>
               <apply>
                  <minus/>
                  <ci>v_K1</ci>
               </apply>
               <ci>v_K2</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_KGHK_o</ci>
            <apply>
               <plus/>
               <ci>v_K2</ci>
               <ci>v_K1</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_pulse</ci>
            <apply>
               <divide/>
               <ci>I_pulse</ci>
               <apply>
                  <times/>
                  <ci>zCa</ci>
                  <ci>F</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="LCC_gate">
      <variable name="time" units="second" public_interface="in"/>
      <variable name="Vmem" units="volt" public_interface="in"/>
      <variable name="F" units="C_per_mol" public_interface="in"/>
      <variable name="RT" units="J_per_mol" public_interface="in"/>
      <variable name="kappa_d000" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_d010" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_d020" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_d001" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_d011" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_d021" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f1_000" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f1_100" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f1_001" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f1_101" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f2_000" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f2_100" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f2_001" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f2_101" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f3_010" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f3_110" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f3_011" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_f3_111" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_fCa000" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_fCa100" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_fCa010" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_fCa110" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_fCa020" units="fmol_per_sec" public_interface="in"/>
      <variable name="kappa_fCa120" units="fmol_per_sec" public_interface="in"/>
      <variable name="K_000" units="per_fmol" public_interface="in"/>
      <variable name="K_010" units="per_fmol" public_interface="in"/>
      <variable name="K_020" units="per_fmol" public_interface="in"/>
      <variable name="K_100" units="per_fmol" public_interface="in"/>
      <variable name="K_110" units="per_fmol" public_interface="in"/>
      <variable name="K_120" units="per_fmol" public_interface="in"/>
      <variable name="K_001" units="per_fmol" public_interface="in"/>
      <variable name="K_011" units="per_fmol" public_interface="in"/>
      <variable name="K_021" units="per_fmol" public_interface="in"/>
      <variable name="K_101" units="per_fmol" public_interface="in"/>
      <variable name="K_111" units="per_fmol" public_interface="in"/>
      <variable name="K_121" units="per_fmol" public_interface="in"/>
      <variable name="q_S000" units="fmol" initial_value="3.6989e-7"/>
      <variable name="q_S010" units="fmol" initial_value="7.3239e-5"/>
      <variable name="q_S020" units="fmol" initial_value="3.6989e-7"/>
      <variable name="q_S100" units="fmol" initial_value="3.7363e-9"/>
      <variable name="q_S110" units="fmol" initial_value="7.3979e-7"/>
      <variable name="q_S120" units="fmol" initial_value="3.7363e-9"/>
      <variable name="q_S001" units="fmol" initial_value="4.1099e-8"/>
      <variable name="q_S011" units="fmol" initial_value="8.1377e-6"/>
      <variable name="q_S021" units="fmol" initial_value="4.1099e-8"/>
      <variable name="q_S101" units="fmol" initial_value="4.1514e-10"/>
      <variable name="q_S111" units="fmol" initial_value="8.2199e-8"/>
      <variable name="q_S121" units="fmol" initial_value="4.1514e-10"/>
      <variable name="q_Ca_fgate" units="fmol" public_interface="out"/>
      <variable name="mu_Cai" units="J_per_mol" public_interface="in"/>
      <variable name="mu_S000" units="J_per_mol"/>
      <variable name="mu_S010" units="J_per_mol"/>
      <variable name="mu_S020" units="J_per_mol"/>
      <variable name="mu_S100" units="J_per_mol"/>
      <variable name="mu_S110" units="J_per_mol"/>
      <variable name="mu_S120" units="J_per_mol"/>
      <variable name="mu_S001" units="J_per_mol"/>
      <variable name="mu_S011" units="J_per_mol"/>
      <variable name="mu_S021" units="J_per_mol"/>
      <variable name="mu_S101" units="J_per_mol"/>
      <variable name="mu_S111" units="J_per_mol" public_interface="out"/>
      <variable name="mu_S121" units="J_per_mol" public_interface="out"/>
      <variable name="v_fCa00" units="fmol_per_sec" public_interface="out"/>
      <variable name="v_fCa01" units="fmol_per_sec" public_interface="out"/>
      <variable name="v_fCa02" units="fmol_per_sec" public_interface="out"/>
      <variable name="v_fCa10" units="fmol_per_sec" public_interface="out"/>
      <variable name="v_fCa11" units="fmol_per_sec" public_interface="out"/>
      <variable name="v_fCa12" units="fmol_per_sec" public_interface="out"/>
      <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" units="fmol_per_sec"/>
      <variable name="v_S010" units="fmol_per_sec"/>
      <variable name="v_S020" units="fmol_per_sec"/>
      <variable name="v_S100" units="fmol_per_sec"/>
      <variable name="v_S110" units="fmol_per_sec"/>
      <variable name="v_S120" units="fmol_per_sec"/>
      <variable name="v_S001" units="fmol_per_sec"/>
      <variable name="v_S011" units="fmol_per_sec"/>
      <variable name="v_S021" units="fmol_per_sec"/>
      <variable name="v_S101" units="fmol_per_sec"/>
      <variable name="v_S111" units="fmol_per_sec"/>
      <variable name="v_S121" units="fmol_per_sec"/>
      <variable name="z_rCa" units="dimensionless" public_interface="in"/>
      <variable name="z_fd" units="dimensionless" public_interface="in"/>
      <variable name="z_ff1" units="dimensionless" public_interface="in"/>
      <variable name="z_ff2" units="dimensionless" public_interface="in"/>
      <variable name="z_ff3" units="dimensionless" public_interface="in"/>
      <variable name="z_rd" units="dimensionless" public_interface="in"/>
      <variable name="z_rf1" units="dimensionless" public_interface="in"/>
      <variable name="z_rf2" units="dimensionless" public_interface="in"/>
      <variable name="z_rf3" units="dimensionless" public_interface="in"/>
      <variable name="v_gate" units="fmol_per_sec" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>q_Ca_fgate</ci>
            <apply>
               <times/>
               <ci>z_rCa</ci>
               <apply>
                  <plus/>
                  <ci>q_S000</ci>
                  <ci>q_S010</ci>
                  <ci>q_S020</ci>
                  <ci>q_S100</ci>
                  <ci>q_S110</ci>
                  <ci>q_S120</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S000</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_000</ci>
                     <ci>q_S000</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S001</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_001</ci>
                     <ci>q_S001</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S010</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_010</ci>
                     <ci>q_S010</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S011</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_011</ci>
                     <ci>q_S011</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S020</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_020</ci>
                     <ci>q_S020</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S021</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_021</ci>
                     <ci>q_S021</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S100</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_100</ci>
                     <ci>q_S100</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S101</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_101</ci>
                     <ci>q_S101</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S110</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_110</ci>
                     <ci>q_S110</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S111</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_111</ci>
                     <ci>q_S111</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S120</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_120</ci>
                     <ci>q_S120</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>mu_S121</ci>
            <apply>
               <times/>
               <ci>RT</ci>
               <apply>
                  <ln/>
                  <apply>
                     <times/>
                     <ci>K_121</ci>
                     <ci>q_S121</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_fCa00</ci>
            <apply>
               <times/>
               <ci>kappa_fCa000</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>mu_S000</ci>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S001</ci>
                           <apply>
                              <times/>
                              <ci>z_rCa</ci>
                              <ci>mu_Cai</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_fCa01</ci>
            <apply>
               <times/>
               <ci>kappa_fCa010</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>mu_S010</ci>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S011</ci>
                           <apply>
                              <times/>
                              <ci>z_rCa</ci>
                              <ci>mu_Cai</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_fCa02</ci>
            <apply>
               <times/>
               <ci>kappa_fCa020</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>mu_S020</ci>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S021</ci>
                           <apply>
                              <times/>
                              <ci>z_rCa</ci>
                              <ci>mu_Cai</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_fCa10</ci>
            <apply>
               <times/>
               <ci>kappa_fCa100</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>mu_S100</ci>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S101</ci>
                           <apply>
                              <times/>
                              <ci>z_rCa</ci>
                              <ci>mu_Cai</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_fCa11</ci>
            <apply>
               <times/>
               <ci>kappa_fCa110</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>mu_S110</ci>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S111</ci>
                           <apply>
                              <times/>
                              <ci>z_rCa</ci>
                              <ci>mu_Cai</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_fCa12</ci>
            <apply>
               <times/>
               <ci>kappa_fCa120</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <ci>mu_S120</ci>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S121</ci>
                           <apply>
                              <times/>
                              <ci>z_rCa</ci>
                              <ci>mu_Cai</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_d000</ci>
            <apply>
               <times/>
               <ci>kappa_d000</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S000</ci>
                           <apply>
                              <times/>
                              <ci>z_fd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S100</ci>
                           <apply>
                              <times/>
                              <ci>z_rd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_d010</ci>
            <apply>
               <times/>
               <ci>kappa_d010</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S010</ci>
                           <apply>
                              <times/>
                              <ci>z_fd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S110</ci>
                           <apply>
                              <times/>
                              <ci>z_rd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_d020</ci>
            <apply>
               <times/>
               <ci>kappa_d020</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S020</ci>
                           <apply>
                              <times/>
                              <ci>z_fd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S120</ci>
                           <apply>
                              <times/>
                              <ci>z_rd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_d001</ci>
            <apply>
               <times/>
               <ci>kappa_d001</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S001</ci>
                           <apply>
                              <times/>
                              <ci>z_fd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S101</ci>
                           <apply>
                              <times/>
                              <ci>z_rd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_d011</ci>
            <apply>
               <times/>
               <ci>kappa_d011</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S011</ci>
                           <apply>
                              <times/>
                              <ci>z_fd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S111</ci>
                           <apply>
                              <times/>
                              <ci>z_rd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_d021</ci>
            <apply>
               <times/>
               <ci>kappa_d021</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S021</ci>
                           <apply>
                              <times/>
                              <ci>z_fd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S121</ci>
                           <apply>
                              <times/>
                              <ci>z_rd</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f1_000</ci>
            <apply>
               <times/>
               <ci>kappa_f1_000</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S000</ci>
                           <apply>
                              <times/>
                              <ci>z_ff1</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S010</ci>
                           <apply>
                              <times/>
                              <ci>z_rf1</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f2_000</ci>
            <apply>
               <times/>
               <ci>kappa_f2_000</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S000</ci>
                           <apply>
                              <times/>
                              <ci>z_ff2</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S020</ci>
                           <apply>
                              <times/>
                              <ci>z_rf2</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f3_010</ci>
            <apply>
               <times/>
               <ci>kappa_f3_010</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S010</ci>
                           <apply>
                              <times/>
                              <ci>z_ff3</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S020</ci>
                           <apply>
                              <times/>
                              <ci>z_rf3</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f1_100</ci>
            <apply>
               <times/>
               <ci>kappa_f1_100</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S100</ci>
                           <apply>
                              <times/>
                              <ci>z_ff1</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S110</ci>
                           <apply>
                              <times/>
                              <ci>z_rf1</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f2_100</ci>
            <apply>
               <times/>
               <ci>kappa_f2_100</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S100</ci>
                           <apply>
                              <times/>
                              <ci>z_ff2</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S120</ci>
                           <apply>
                              <times/>
                              <ci>z_rf2</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f3_110</ci>
            <apply>
               <times/>
               <ci>kappa_f3_110</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S110</ci>
                           <apply>
                              <times/>
                              <ci>z_ff3</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S120</ci>
                           <apply>
                              <times/>
                              <ci>z_rf3</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f1_001</ci>
            <apply>
               <times/>
               <ci>kappa_f1_001</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S001</ci>
                           <apply>
                              <times/>
                              <ci>z_ff1</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S011</ci>
                           <apply>
                              <times/>
                              <ci>z_rf1</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f2_001</ci>
            <apply>
               <times/>
               <ci>kappa_f2_001</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S001</ci>
                           <apply>
                              <times/>
                              <ci>z_ff2</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S021</ci>
                           <apply>
                              <times/>
                              <ci>z_rf2</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f3_011</ci>
            <apply>
               <times/>
               <ci>kappa_f3_011</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S011</ci>
                           <apply>
                              <times/>
                              <ci>z_ff3</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S021</ci>
                           <apply>
                              <times/>
                              <ci>z_rf3</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f1_101</ci>
            <apply>
               <times/>
               <ci>kappa_f1_101</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S101</ci>
                           <apply>
                              <times/>
                              <ci>z_ff1</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S111</ci>
                           <apply>
                              <times/>
                              <ci>z_rf1</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f2_101</ci>
            <apply>
               <times/>
               <ci>kappa_f2_101</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S101</ci>
                           <apply>
                              <times/>
                              <ci>z_ff2</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S121</ci>
                           <apply>
                              <times/>
                              <ci>z_rf2</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_f3_111</ci>
            <apply>
               <times/>
               <ci>kappa_f3_111</ci>
               <apply>
                  <minus/>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S111</ci>
                           <apply>
                              <times/>
                              <ci>z_ff3</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
                  <apply>
                     <exp/>
                     <apply>
                        <divide/>
                        <apply>
                           <plus/>
                           <ci>mu_S121</ci>
                           <apply>
                              <times/>
                              <ci>z_rf3</ci>
                              <ci>F</ci>
                              <ci>Vmem</ci>
                           </apply>
                        </apply>
                        <ci>RT</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>v_S000</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/>
            <ci>v_S001</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/>
            <ci>v_S010</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/>
            <ci>v_S011</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/>
            <ci>v_S020</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/>
            <ci>v_S021</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/>
            <ci>v_S100</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/>
            <ci>v_S101</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/>
            <ci>v_S110</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/>
            <ci>v_S111</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/>
            <ci>v_S120</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/>
            <ci>v_S121</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>time</ci>
               </bvar>
               <ci>q_S000</ci>
            </apply>
            <ci>v_S000</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S001</ci>
            </apply>
            <ci>v_S001</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S010</ci>
            </apply>
            <ci>v_S010</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S011</ci>
            </apply>
            <ci>v_S011</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S020</ci>
            </apply>
            <ci>v_S020</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S021</ci>
            </apply>
            <ci>v_S021</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S100</ci>
            </apply>
            <ci>v_S100</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S101</ci>
            </apply>
            <ci>v_S101</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S110</ci>
            </apply>
            <ci>v_S110</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S111</ci>
            </apply>
            <ci>v_S111</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S120</ci>
            </apply>
            <ci>v_S120</ci>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>q_S121</ci>
            </apply>
            <ci>v_S121</ci>
         </apply>
         <apply>
            <eq/>
            <ci>v_gate</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <ci>v_f2_001</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf2</ci>
                     <ci>z_ff2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f3_011</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf3</ci>
                     <ci>z_ff3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f1_101</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf1</ci>
                     <ci>z_ff1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f2_101</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf2</ci>
                     <ci>z_ff2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f3_111</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf3</ci>
                     <ci>z_ff3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f1_001</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf1</ci>
                     <ci>z_ff1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_d021</ci>
                  <apply>
                     <minus/>
                     <ci>z_rd</ci>
                     <ci>z_fd</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_d011</ci>
                  <apply>
                     <minus/>
                     <ci>z_rd</ci>
                     <ci>z_fd</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_d001</ci>
                  <apply>
                     <minus/>
                     <ci>z_rd</ci>
                     <ci>z_fd</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f3_110</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf3</ci>
                     <ci>z_ff3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f2_100</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf2</ci>
                     <ci>z_ff2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f1_100</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf1</ci>
                     <ci>z_ff1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f3_010</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf3</ci>
                     <ci>z_ff3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f2_000</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf2</ci>
                     <ci>z_ff2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_f1_000</ci>
                  <apply>
                     <minus/>
                     <ci>z_rf1</ci>
                     <ci>z_ff1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_d020</ci>
                  <apply>
                     <minus/>
                     <ci>z_rd</ci>
                     <ci>z_fd</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_d010</ci>
                  <apply>
                     <minus/>
                     <ci>z_rd</ci>
                     <ci>z_fd</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>v_d000</ci>
                  <apply>
                     <minus/>
                     <ci>z_rd</ci>
                     <ci>z_fd</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="constants">
      <variable name="R" units="J_per_K_per_mol" initial_value="8.31" public_interface="out"/>
      <variable name="T" units="kelvin" initial_value="310" public_interface="out"/>
      <variable name="F" units="C_per_mol" initial_value="96485" public_interface="out"/>
   </component>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="LCC"/>
      <map_variables variable_1="time" variable_2="time"/>
      <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_membrane" variable_2="q_E"/>
      <map_variables variable_1="C_m" variable_2="C_m"/>
      <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="zCa" variable_2="zCa"/>
      <map_variables variable_1="zK" variable_2="zK"/>
      <map_variables variable_1="v_E_LCC" variable_2="v_E_LCC"/>
      <map_variables variable_1="I_pulse" variable_2="I_pulse"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="LCC" component_2="LCC_gate"/>
      <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"/>
      <map_variables variable_1="mu_S121" variable_2="mu_S121"/>
      <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"/>
      <map_variables variable_1="v_gate" variable_2="v_gate"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="environment" component_2="LCC_gate"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="constants" component_2="LCC_gate"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="LCC_parameters" component_2="LCC"/>
      <map_variables variable_1="K_Cai" variable_2="K_Cai"/>
      <map_variables variable_1="K_Cao" variable_2="K_Cao"/>
      <map_variables variable_1="K_Ki" variable_2="K_Ki"/>
      <map_variables variable_1="K_Ko" variable_2="K_Ko"/>
      <map_variables variable_1="kappa_Ca1" variable_2="kappa_Ca1"/>
      <map_variables variable_1="kappa_Ca2" variable_2="kappa_Ca2"/>
      <map_variables variable_1="kappa_K1" variable_2="kappa_K1"/>
      <map_variables variable_1="kappa_K2" variable_2="kappa_K2"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="LCC_parameters" component_2="LCC_gate"/>
      <map_variables variable_1="kappa_d000" variable_2="kappa_d000"/>
      <map_variables variable_1="kappa_d010" variable_2="kappa_d010"/>
      <map_variables variable_1="kappa_d020" variable_2="kappa_d020"/>
      <map_variables variable_1="kappa_d001" variable_2="kappa_d001"/>
      <map_variables variable_1="kappa_d011" variable_2="kappa_d011"/>
      <map_variables variable_1="kappa_d021" variable_2="kappa_d021"/>
      <map_variables variable_1="kappa_f1_000" variable_2="kappa_f1_000"/>
      <map_variables variable_1="kappa_f1_100" variable_2="kappa_f1_100"/>
      <map_variables variable_1="kappa_f1_001" variable_2="kappa_f1_001"/>
      <map_variables variable_1="kappa_f1_101" variable_2="kappa_f1_101"/>
      <map_variables variable_1="kappa_f2_000" variable_2="kappa_f2_000"/>
      <map_variables variable_1="kappa_f2_100" variable_2="kappa_f2_100"/>
      <map_variables variable_1="kappa_f2_001" variable_2="kappa_f2_001"/>
      <map_variables variable_1="kappa_f2_101" variable_2="kappa_f2_101"/>
      <map_variables variable_1="kappa_f3_010" variable_2="kappa_f3_010"/>
      <map_variables variable_1="kappa_f3_110" variable_2="kappa_f3_110"/>
      <map_variables variable_1="kappa_f3_011" variable_2="kappa_f3_011"/>
      <map_variables variable_1="kappa_f3_111" variable_2="kappa_f3_111"/>
      <map_variables variable_1="kappa_fCa000" variable_2="kappa_fCa000"/>
      <map_variables variable_1="kappa_fCa100" variable_2="kappa_fCa100"/>
      <map_variables variable_1="kappa_fCa010" variable_2="kappa_fCa010"/>
      <map_variables variable_1="kappa_fCa110" variable_2="kappa_fCa110"/>
      <map_variables variable_1="kappa_fCa020" variable_2="kappa_fCa020"/>
      <map_variables variable_1="kappa_fCa120" variable_2="kappa_fCa120"/>
      <map_variables variable_1="K_000_LCC" variable_2="K_000"/>
      <map_variables variable_1="K_010_LCC" variable_2="K_010"/>
      <map_variables variable_1="K_020_LCC" variable_2="K_020"/>
      <map_variables variable_1="K_100_LCC" variable_2="K_100"/>
      <map_variables variable_1="K_110_LCC" variable_2="K_110"/>
      <map_variables variable_1="K_120_LCC" variable_2="K_120"/>
      <map_variables variable_1="K_001_LCC" variable_2="K_001"/>
      <map_variables variable_1="K_011_LCC" variable_2="K_011"/>
      <map_variables variable_1="K_021_LCC" variable_2="K_021"/>
      <map_variables variable_1="K_101_LCC" variable_2="K_101"/>
      <map_variables variable_1="K_111_LCC" variable_2="K_111"/>
      <map_variables variable_1="K_121_LCC" variable_2="K_121"/>
      <map_variables variable_1="z_rCa" variable_2="z_rCa"/>
      <map_variables variable_1="z_fd" variable_2="z_fd"/>
      <map_variables variable_1="z_ff1" variable_2="z_ff1"/>
      <map_variables variable_1="z_ff2" variable_2="z_ff2"/>
      <map_variables variable_1="z_ff3" variable_2="z_ff3"/>
      <map_variables variable_1="z_rd" variable_2="z_rd"/>
      <map_variables variable_1="z_rf1" variable_2="z_rf1"/>
      <map_variables variable_1="z_rf2" variable_2="z_rf2"/>
      <map_variables variable_1="z_rf3" variable_2="z_rf3"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="constants" component_2="environment"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="constants" component_2="LCC"/>
      <map_variables variable_1="T" variable_2="T"/>
      <map_variables variable_1="R" variable_2="R"/>
   </connection>
</model>