Location: Marcano, Yang, Nieves-Gonzalez, Clausen, Moore 2009 @ 194760a37a56 / Figure2C-decomposition / kinetic_equations_model.xml

Author:
Pulasthi <devnull@localhost>
Date:
2009-10-30 11:57:20+13:00
Desc:
Uploading of schematic diagrams
Permanent Source URI:
http://models.cellml.org/workspace/marcano_yang_nievesgonzalez_clausen_moore_2009/rawfile/194760a37a563d8b644012ce7c68bbf2dd859f81/Figure2C-decomposition/kinetic_equations_model.xml

<?xml version="1.0"?>
<model xmlns="http://www.cellml.org/cellml/1.1#" name="kinetic_equations_model">
  <component name="kinetic_equations">
    <variable name="time" private_interface="out" public_interface="in" units="second"/>
    <variable initial_value="E_0_initial" name="E_0" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_0_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_1_initial" name="E_1" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_1_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_2_initial" name="E_2" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_2_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_3_initial" name="E_3" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_3_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_4_initial" name="E_4" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_4_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_5_initial" name="E_5" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_5_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_6_initial" name="E_6" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_6_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_7_initial" name="E_7" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_7_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_8_initial" name="E_8" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_8_initial" public_interface="in" units="dimensionless"/>
    <variable initial_value="E_9_temp_initial" name="E_9_temp" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_9_temp_initial" public_interface="in" units="dimensionless"/>
    <variable name="E_9" private_interface="out" public_interface="out" units="dimensionless"/>
    <variable name="E_T" private_interface="out" public_interface="in" units="dimensionless"/>
    <variable name="k_on" private_interface="out" public_interface="in" units="per_mM_per_second"/>
    <variable name="k_1" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k_2" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k_3o" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k_3i" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k_4" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k_fe" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k_be" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k_ff" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="k_bf" private_interface="out" public_interface="in" units="per_second"/>
    <variable name="Ce_Na" private_interface="out" public_interface="in" units="mM"/>
    <variable name="Ce_K" private_interface="out" public_interface="in" units="mM"/>
    <variable name="Ce_Cl" private_interface="out" public_interface="in" units="mM"/>
    <variable name="Ci_Na" private_interface="out" public_interface="in" units="mM"/>
    <variable name="Ci_K" private_interface="out" public_interface="in" units="mM"/>
    <variable name="Ci_Cl" private_interface="out" public_interface="in" units="mM"/>
    <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_0</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>k_on</ci>
                        </apply>
                        <ci>Ce_Na</ci>
                        <ci>E_0</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_1</ci>
                        <ci>E_1</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_be</ci>
                     <ci>E_0</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_fe</ci>
                  <ci>E_9</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_1</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>k_on</ci>
                        </apply>
                        <ci>Ce_Cl</ci>
                        <ci>E_1</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_2</ci>
                        <ci>E_2</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_1</ci>
                     <ci>E_1</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_on</ci>
                  <ci>Ce_Na</ci>
                  <ci>E_0</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_2</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>k_on</ci>
                        </apply>
                        <ci>Ce_K</ci>
                        <ci>E_2</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_3o</ci>
                        <ci>E_3</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_2</ci>
                     <ci>E_2</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_on</ci>
                  <ci>Ce_Cl</ci>
                  <ci>E_1</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_3</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>k_on</ci>
                        </apply>
                        <ci>Ce_Cl</ci>
                        <ci>E_3</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_4</ci>
                        <ci>E_4</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_3o</ci>
                     <ci>E_3</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_on</ci>
                  <ci>Ce_K</ci>
                  <ci>E_2</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_4</ci>
            </apply>
            <apply>
               <minus/>
               <apply>
                  <plus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>k_on</ci>
                        <ci>Ce_Cl</ci>
                        <ci>E_3</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_4</ci>
                        <ci>E_4</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_bf</ci>
                     <ci>E_5</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_ff</ci>
                  <ci>E_4</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_5</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>k_on</ci>
                        <ci>Ci_Na</ci>
                        <ci>E_6</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_1</ci>
                        <ci>E_5</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_bf</ci>
                     <ci>E_5</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_ff</ci>
                  <ci>E_4</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_6</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <times/>
                     <apply>
                        <minus/>
                        <ci>k_on</ci>
                     </apply>
                     <ci>Ci_Na</ci>
                     <ci>E_6</ci>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_2</ci>
                     <ci>E_6</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_1</ci>
                  <ci>E_5</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_on</ci>
                  <ci>Ci_Cl</ci>
                  <ci>E_7</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_7</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>k_on</ci>
                        </apply>
                        <ci>Ci_Cl</ci>
                        <ci>E_7</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_2</ci>
                        <ci>E_6</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_3i</ci>
                     <ci>E_7</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_on</ci>
                  <ci>Ci_K</ci>
                  <ci>E_8</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_8</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>k_on</ci>
                        </apply>
                        <ci>Ci_K</ci>
                        <ci>E_8</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_3i</ci>
                        <ci>E_7</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_4</ci>
                     <ci>E_8</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_on</ci>
                  <ci>Ci_Cl</ci>
                  <ci>E_9</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>E_9_temp</ci>
            </apply>
            <apply>
               <plus/>
               <apply>
                  <minus/>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <apply>
                           <minus/>
                           <ci>k_on</ci>
                        </apply>
                        <ci>Ci_Cl</ci>
                        <ci>E_9</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>k_4</ci>
                        <ci>E_8</ci>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <ci>k_fe</ci>
                     <ci>E_9</ci>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <ci>k_be</ci>
                  <ci>E_0</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>E_9</ci>
            <apply>
               <minus/>
               <ci>E_T</ci>
               <apply>
                  <plus/>
                  <ci>E_0</ci>
                  <ci>E_1</ci>
                  <ci>E_2</ci>
                  <ci>E_3</ci>
                  <ci>E_4</ci>
                  <ci>E_5</ci>
                  <ci>E_6</ci>
                  <ci>E_7</ci>
                  <ci>E_8</ci>
               </apply>
            </apply>
         </apply>
      </math>
  </component>
  <import xmlns:xlink="http://www.w3.org/1999/xlink" xlink:href="Marcano_et_al_2009_units_model.xml">
    <units name="per_second" units_ref="per_second"/>
    <units name="mM" units_ref="mM"/>
    <units name="per_mM_per_second" units_ref="per_mM_per_second"/>
    <units name="mM_per_second" units_ref="mM_per_second"/>
  </import>
</model>