Rendering of the source text

<?xml version="1.0"?>
<!--
This CellML file was generated on 30/07/2011 at 2:10:29 at a.m. using:

COR (0.9.31.1409)
Copyright 2002-2011 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/
--><model xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" cmeta:id="larsen_olsen_kummer_2003b" name="larsen_olsen_kummer_2003b">




   <units name="micromole">
      <unit prefix="micro" units="mole"/>
   </units>
   <units name="micromolar">
      <unit units="micromole"/>
      <unit exponent="-1" units="litre"/>
   </units>
   <component name="environment">
      <variable cmeta:id="environment_time" name="time" public_interface="out" units="second"/>
   </component>
   <component name="G_a">
      <variable cmeta:id="G_a_G_a" initial_value="0.01" name="G_a" public_interface="out" units="micromolar"/>
      <variable name="k1" public_interface="in" units="dimensionless"/>
      <variable name="k2" public_interface="in" units="dimensionless"/>
      <variable name="k3" public_interface="in" units="dimensionless"/>
      <variable name="PLC" public_interface="in" units="micromolar"/>
      <variable name="Ca_cyt" public_interface="in" units="micromolar"/>
      <variable name="K4" public_interface="in" units="dimensionless"/>
      <variable name="k5" public_interface="in" units="dimensionless"/>
      <variable name="K6" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>G_a</ci>
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            <apply>
               <minus/>
               <apply>
                  <minus/>
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                     <plus/>
                     <ci>k1</ci>
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                        <times/>
                        <ci>k2</ci>
                        <ci>G_a</ci>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
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                        <times/>
                        <ci>k3</ci>
                        <ci>G_a</ci>
                        <ci>PLC</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>G_a</ci>
                        <ci>K4</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>k5</ci>
                     <ci>Ca_cyt</ci>
                     <ci>G_a</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>G_a</ci>
                     <ci>K6</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="PLC">
      <variable cmeta:id="PLC_PLC" initial_value="0.01" name="PLC" public_interface="out" units="micromolar"/>
      <variable name="k7" public_interface="in" units="dimensionless"/>
      <variable name="G_a" public_interface="in" units="micromolar"/>
      <variable name="k8" public_interface="in" units="dimensionless"/>
      <variable name="K9" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
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               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>PLC</ci>
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            <apply>
               <minus/>
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                  <times/>
                  <ci>k7</ci>
                  <ci>G_a</ci>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>k8</ci>
                     <ci>PLC</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>PLC</ci>
                     <ci>K9</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca_ER">
      <variable cmeta:id="Ca_ER_Ca_ER" initial_value="10" name="Ca_ER" public_interface="out" units="micromolar"/>
      <variable name="k10" public_interface="in" units="dimensionless"/>
      <variable name="PLC" public_interface="in" units="micromolar"/>
      <variable name="Ca_cyt" public_interface="in" units="micromolar"/>
      <variable name="K11" public_interface="in" units="dimensionless"/>
      <variable name="k16" public_interface="in" units="dimensionless"/>
      <variable name="K17" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
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               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_ER</ci>
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            <apply>
               <plus/>
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                  <times/>
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                     <minus/>
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                        <minus/>
                        <ci>Ca_ER</ci>
                        <ci>Ca_cyt</ci>
                     </apply>
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                  <apply>
                     <divide/>
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                        <times/>
                        <ci>k10</ci>
                        <ci>Ca_cyt</ci>
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                           <power/>
                           <ci>PLC</ci>
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                        </apply>
                     </apply>
                     <apply>
                        <plus/>
                        <apply>
                           <power/>
                           <ci>PLC</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        </apply>
                        <apply>
                           <power/>
                           <ci>K11</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                        </apply>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <divide/>
                  <apply>
                     <times/>
                     <ci>k16</ci>
                     <ci>Ca_cyt</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <ci>Ca_cyt</ci>
                     <ci>K17</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca_mit">
      <variable cmeta:id="Ca_mit_Ca_mit" initial_value="0.001" name="Ca_mit" public_interface="out" units="micromolar"/>
      <variable name="k18" public_interface="in" units="dimensionless"/>
      <variable name="Ca_cyt" public_interface="in" units="micromolar"/>
      <variable name="K19" public_interface="in" units="dimensionless"/>
      <variable name="k20" public_interface="in" units="dimensionless"/>
      <variable name="K21" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_mit</ci>
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               <minus/>
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                  <divide/>
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                     <times/>
                     <ci>k18</ci>
                     <apply>
                        <power/>
                        <ci>Ca_cyt</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">8</cn>
                     </apply>
                  </apply>
                  <apply>
                     <plus/>
                     <apply>
                        <power/>
                        <ci>K19</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">8</cn>
                     </apply>
                     <apply>
                        <power/>
                        <ci>Ca_cyt</ci>
                        <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">8</cn>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <minus/>
                     <ci>Ca_mit</ci>
                     <ci>Ca_cyt</ci>
                  </apply>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>k20</ci>
                        <ci>Ca_cyt</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>Ca_cyt</ci>
                        <ci>K21</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Ca_cyt">
      <variable cmeta:id="Ca_cyt_Ca_cyt" initial_value="0.01" name="Ca_cyt" public_interface="out" units="micromolar"/>
      <variable name="k10" public_interface="in" units="dimensionless"/>
      <variable name="Ca_ER" public_interface="in" units="micromolar"/>
      <variable name="Ca_mit" public_interface="in" units="micromolar"/>
      <variable name="G_a" public_interface="in" units="micromolar"/>
      <variable name="PLC" public_interface="in" units="micromolar"/>
      <variable name="K11" public_interface="in" units="dimensionless"/>
      <variable name="k12" public_interface="in" units="dimensionless"/>
      <variable name="k13" public_interface="in" units="dimensionless"/>
      <variable name="k14" public_interface="in" units="dimensionless"/>
      <variable name="K15" public_interface="in" units="dimensionless"/>
      <variable name="k16" public_interface="in" units="dimensionless"/>
      <variable name="K17" public_interface="in" units="dimensionless"/>
      <variable name="k18" public_interface="in" units="dimensionless"/>
      <variable name="K19" public_interface="in" units="dimensionless"/>
      <variable name="k20" public_interface="in" units="dimensionless"/>
      <variable name="K21" public_interface="in" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>Ca_cyt</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <minus/>
                        <apply>
                           <plus/>
                           <apply>
                              <times/>
                              <apply>
                                 <minus/>
                                 <ci>Ca_ER</ci>
                                 <ci>Ca_cyt</ci>
                              </apply>
                              <apply>
                                 <divide/>
                                 <apply>
                                    <times/>
                                    <ci>k10</ci>
                                    <ci>Ca_cyt</ci>
                                    <apply>
                                       <power/>
                                       <ci>PLC</ci>
                                       <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                                    </apply>
                                 </apply>
                                 <apply>
                                    <plus/>
                                    <apply>
                                       <power/>
                                       <ci>PLC</ci>
                                       <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                                    </apply>
                                    <apply>
                                       <power/>
                                       <ci>K11</ci>
                                       <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">4</cn>
                                    </apply>
                                 </apply>
                              </apply>
                           </apply>
                           <apply>
                              <times/>
                              <ci>k12</ci>
                              <ci>PLC</ci>
                           </apply>
                           <apply>
                              <times/>
                              <ci>k13</ci>
                              <ci>G_a</ci>
                           </apply>
                        </apply>
                        <apply>
                           <divide/>
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                              <times/>
                              <ci>k14</ci>
                              <ci>Ca_cyt</ci>
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                           <apply>
                              <plus/>
                              <ci>K15</ci>
                              <ci>Ca_cyt</ci>
                           </apply>
                        </apply>
                     </apply>
                     <apply>
                        <divide/>
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                           <times/>
                           <ci>k16</ci>
                           <ci>Ca_cyt</ci>
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                        <apply>
                           <plus/>
                           <ci>K17</ci>
                           <ci>Ca_cyt</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <divide/>
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                        <times/>
                        <ci>k18</ci>
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                           <power/>
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                        </apply>
                     </apply>
                     <apply>
                        <plus/>
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                           <power/>
                           <ci>K19</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">8</cn>
                        </apply>
                        <apply>
                           <power/>
                           <ci>Ca_cyt</ci>
                           <cn xmlns:cellml="http://www.cellml.org/cellml/1.0#" cellml:units="dimensionless">8</cn>
                        </apply>
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                  <times/>
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                     <ci>Ca_mit</ci>
                     <ci>Ca_cyt</ci>
                  </apply>
                  <apply>
                     <divide/>
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                        <times/>
                        <ci>k20</ci>
                        <ci>Ca_cyt</ci>
                     </apply>
                     <apply>
                        <plus/>
                        <ci>Ca_cyt</ci>
                        <ci>K21</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Enz">
      <variable cmeta:id="Enz_Enz" initial_value="0" name="Enz" public_interface="out" units="micromolar"/>
      <variable initial_value="0.1" name="k_act" units="dimensionless"/>
      <variable name="Ca_cyt" public_interface="in" units="micromolar"/>
      <variable initial_value="0.02" name="K_M" units="dimensionless"/>
      <variable initial_value="0.043" name="k_inact" units="dimensionless"/>
      <variable initial_value="4" name="p" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
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         <apply>
            <eq/>
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               <minus/>
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                  <divide/>
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                     <times/>
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                        <power/>
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                  </apply>
                  <apply>
                     <plus/>
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                        <power/>
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                        <ci>p</ci>
                     </apply>
                     <apply>
                        <power/>
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                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_inact</ci>
                  <ci>Enz</ci>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="Pro">
      <variable cmeta:id="Pro_Pro" initial_value="0" name="Pro" public_interface="out" units="micromolar"/>
      <variable initial_value="3" name="k_enz" units="dimensionless"/>
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      <variable initial_value="3" name="k_rem" units="dimensionless"/>
      <variable name="time" public_interface="in" units="second"/>
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                  <times/>
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               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="model_parameters">
      <variable initial_value="0.55" name="k1" public_interface="out" units="dimensionless"/>
      <variable initial_value="0" name="k2" public_interface="out" units="dimensionless"/>
      <variable initial_value="0.0001" name="k3" public_interface="out" units="dimensionless"/>
      <variable initial_value="0.783" name="K4" public_interface="out" units="dimensionless"/>
      <variable initial_value="1.24" name="k5" public_interface="out" units="dimensionless"/>
      <variable initial_value="0.7" name="K6" public_interface="out" units="dimensionless"/>
      <variable initial_value="5.82" name="k7" public_interface="out" units="dimensionless"/>
      <variable initial_value="32.24" name="k8" public_interface="out" units="dimensionless"/>
      <variable initial_value="29.09" name="K9" public_interface="out" units="dimensionless"/>
      <variable initial_value="0.93" name="k10" public_interface="out" units="dimensionless"/>
      <variable initial_value="2.667" name="K11" public_interface="out" units="dimensionless"/>
      <variable initial_value="0.76" name="k12" public_interface="out" units="dimensionless"/>
      <variable initial_value="0" name="k13" public_interface="out" units="dimensionless"/>
      <variable initial_value="149" name="k14" public_interface="out" units="dimensionless"/>
      <variable initial_value="0.16" name="K15" public_interface="out" units="dimensionless"/>
      <variable initial_value="20.9" name="k16" public_interface="out" units="dimensionless"/>
      <variable initial_value="0.05" name="K17" public_interface="out" units="dimensionless"/>
      <variable initial_value="79" name="k18" public_interface="out" units="dimensionless"/>
      <variable initial_value="2" name="K19" public_interface="out" units="dimensionless"/>
      <variable initial_value="1.5" name="k20" public_interface="out" units="dimensionless"/>
      <variable initial_value="1.5" name="K21" public_interface="out" units="dimensionless"/>
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      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="PLC"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="Ca_ER"/>
      <map_variables variable_1="time" variable_2="time"/>
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   <connection>
      <map_components component_1="environment" component_2="Ca_mit"/>
      <map_variables variable_1="time" variable_2="time"/>
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   <connection>
      <map_components component_1="environment" component_2="Ca_cyt"/>
      <map_variables variable_1="time" variable_2="time"/>
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   <connection>
      <map_components component_1="environment" component_2="Enz"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="environment" component_2="Pro"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection>
      <map_components component_1="model_parameters" component_2="G_a"/>
      <map_variables variable_1="k1" variable_2="k1"/>
      <map_variables variable_1="k2" variable_2="k2"/>
      <map_variables variable_1="k3" variable_2="k3"/>
      <map_variables variable_1="K4" variable_2="K4"/>
      <map_variables variable_1="k5" variable_2="k5"/>
      <map_variables variable_1="K6" variable_2="K6"/>
   </connection>
   <connection>
      <map_components component_1="model_parameters" component_2="PLC"/>
      <map_variables variable_1="k7" variable_2="k7"/>
      <map_variables variable_1="k8" variable_2="k8"/>
      <map_variables variable_1="K9" variable_2="K9"/>
   </connection>
   <connection>
      <map_components component_1="model_parameters" component_2="Ca_ER"/>
      <map_variables variable_1="k10" variable_2="k10"/>
      <map_variables variable_1="K11" variable_2="K11"/>
      <map_variables variable_1="k16" variable_2="k16"/>
      <map_variables variable_1="K17" variable_2="K17"/>
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   <connection>
      <map_components component_1="model_parameters" component_2="Ca_mit"/>
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      <map_variables variable_1="K19" variable_2="K19"/>
      <map_variables variable_1="k20" variable_2="k20"/>
      <map_variables variable_1="K21" variable_2="K21"/>
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   <connection>
      <map_components component_1="model_parameters" component_2="Ca_cyt"/>
      <map_variables variable_1="k10" variable_2="k10"/>
      <map_variables variable_1="K11" variable_2="K11"/>
      <map_variables variable_1="k12" variable_2="k12"/>
      <map_variables variable_1="k13" variable_2="k13"/>
      <map_variables variable_1="k14" variable_2="k14"/>
      <map_variables variable_1="K15" variable_2="K15"/>
      <map_variables variable_1="k16" variable_2="k16"/>
      <map_variables variable_1="K17" variable_2="K17"/>
      <map_variables variable_1="k18" variable_2="k18"/>
      <map_variables variable_1="K19" variable_2="K19"/>
      <map_variables variable_1="k20" variable_2="k20"/>
      <map_variables variable_1="K21" variable_2="K21"/>
   </connection>
   <connection>
      <map_components component_1="G_a" component_2="PLC"/>
      <map_variables variable_1="G_a" variable_2="G_a"/>
      <map_variables variable_1="PLC" variable_2="PLC"/>
   </connection>
   <connection>
      <map_components component_1="G_a" component_2="Ca_cyt"/>
      <map_variables variable_1="Ca_cyt" variable_2="Ca_cyt"/>
      <map_variables variable_1="G_a" variable_2="G_a"/>
   </connection>
   <connection>
      <map_components component_1="PLC" component_2="Ca_ER"/>
      <map_variables variable_1="PLC" variable_2="PLC"/>
   </connection>
   <connection>
      <map_components component_1="PLC" component_2="Ca_cyt"/>
      <map_variables variable_1="PLC" variable_2="PLC"/>
   </connection>
   <connection>
      <map_components component_1="Ca_ER" component_2="Ca_cyt"/>
      <map_variables variable_1="Ca_ER" variable_2="Ca_ER"/>
      <map_variables variable_1="Ca_cyt" variable_2="Ca_cyt"/>
   </connection>
   <connection>
      <map_components component_1="Ca_mit" component_2="Ca_cyt"/>
      <map_variables variable_1="Ca_mit" variable_2="Ca_mit"/>
      <map_variables variable_1="Ca_cyt" variable_2="Ca_cyt"/>
   </connection>
   <connection>
      <map_components component_1="Enz" component_2="Ca_cyt"/>
      <map_variables variable_1="Ca_cyt" variable_2="Ca_cyt"/>
   </connection>
   <connection>
      <map_components component_1="Enz" component_2="Pro"/>
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