Location: Parent, Supplisson, Loo, Wright, 1992 @ 6c36f3cda65a / Parent_et_al_1992.cellml

Author:
jonna <devnull@localhost>
Date:
2009-08-31 15:17:17+12:00
Desc:
Model File
Permanent Source URI:
https://staging.physiomeproject.org/workspace/parent_supplisson_loo_wright_1992/rawfile/6c36f3cda65a2e2e71dc741791afd01d5b2ad6fb/Parent_et_al_1992.cellml

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<!--
This CellML file was generated on 31/08/2009 at 3:16:25 at p.m. using:

COR (0.9.31.1265)
Copyright 2002-2009 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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                  <times/>
                  <ci>k_12</ci>
                  <ci>k_25</ci>
                  <ci>k_32</ci>
                  <ci>k_45</ci>
                  <ci>k_56</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_16</ci>
                  <ci>k_21</ci>
                  <ci>k_32</ci>
                  <ci>k_45</ci>
                  <ci>k_56</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_16</ci>
                  <ci>k_25</ci>
                  <ci>k_32</ci>
                  <ci>k_43</ci>
                  <ci>k_56</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_12</ci>
                  <ci>k_25</ci>
                  <ci>k_32</ci>
                  <ci>k_43</ci>
                  <ci>k_56</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_16</ci>
                  <ci>k_21</ci>
                  <ci>k_32</ci>
                  <ci>k_43</ci>
                  <ci>k_56</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_16</ci>
                  <ci>k_21</ci>
                  <ci>k_32</ci>
                  <ci>k_43</ci>
                  <ci>k_54</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_16</ci>
                  <ci>k_21</ci>
                  <ci>k_34</ci>
                  <ci>k_45</ci>
                  <ci>k_52</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_16</ci>
                  <ci>k_21</ci>
                  <ci>k_32</ci>
                  <ci>k_45</ci>
                  <ci>k_52</ci>
               </apply>
               <apply>
                  <times/>
                  <ci>k_16</ci>
                  <ci>k_21</ci>
                  <ci>k_32</ci>
                  <ci>k_43</ci>
                  <ci>k_52</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>C_sum</ci>
            <apply>
               <plus/>
               <ci>C1_sum</ci>
               <ci>C2_sum</ci>
               <ci>C3_sum</ci>
               <ci>C4_sum</ci>
               <ci>C5_sum</ci>
               <ci>C6_sum</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>C1</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>C_T</ci>
                  <ci>C1_sum</ci>
               </apply>
               <ci>C_sum</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>C2</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>C_T</ci>
                  <ci>C2_sum</ci>
               </apply>
               <ci>C_sum</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>C3</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>C_T</ci>
                  <ci>C3_sum</ci>
               </apply>
               <ci>C_sum</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>C4</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>C_T</ci>
                  <ci>C4_sum</ci>
               </apply>
               <ci>C_sum</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>C5</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>C_T</ci>
                  <ci>C5_sum</ci>
               </apply>
               <ci>C_sum</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>C6</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>C_T</ci>
                  <ci>C6_sum</ci>
               </apply>
               <ci>C_sum</ci>
            </apply>
         </apply>
      </math>
   </component>
   <component xmlns="http://www.cellml.org/cellml/1.0#" name="NBC_current">
      <variable name="k_34" units="per_second" public_interface="in"/>
      <variable name="k_43" units="per_second" public_interface="in"/>
      <variable name="k_25" units="per_second" public_interface="in"/>
      <variable name="k_52" units="per_second" public_interface="in"/>
      <variable name="k_61" units="per_second" public_interface="in"/>
      <variable name="k_16" units="per_second" public_interface="in"/>
      <variable name="C_1" units="umol" public_interface="in"/>
      <variable name="C_2" units="umol" public_interface="in"/>
      <variable name="C_3" units="umol" public_interface="in"/>
      <variable name="C_4" units="umol" public_interface="in"/>
      <variable name="C_5" units="umol" public_interface="in"/>
      <variable name="C_6" units="umol" public_interface="in"/>
      <variable name="C1" units="umol" public_interface="in"/>
      <variable name="C2" units="umol" public_interface="in"/>
      <variable name="C3" units="umol" public_interface="in"/>
      <variable name="C4" units="umol" public_interface="in"/>
      <variable name="C5" units="umol" public_interface="in"/>
      <variable name="C6" units="umol" public_interface="in"/>
      <variable name="delta" units="dimensionless" public_interface="in"/>
      <variable name="n" units="dimensionless" public_interface="in"/>
      <variable name="z_c" units="dimensionless" public_interface="in"/>
      <variable name="z_Na" units="dimensionless" public_interface="in"/>
      <variable name="F" units="C_per_mol" public_interface="in"/>
      <variable name="I_NBC" units="uA" public_interface="out"/>
      <variable name="I_NBC_SS" units="uA" public_interface="out"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>I_NBC</ci>
            <apply>
               <times/>
               <apply>
                  <minus/>
                  <ci>F</ci>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>z_c</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>k_16</ci>
                           <ci>C_1</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>k_61</ci>
                           <ci>C_6</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>z_c</ci>
                        <apply>
                           <times/>
                           <ci>z_Na</ci>
                           <ci>n</ci>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>k_25</ci>
                           <ci>C_2</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>k_52</ci>
                           <ci>C_5</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>z_c</ci>
                        <apply>
                           <times/>
                           <ci>z_Na</ci>
                           <ci>n</ci>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>k_34</ci>
                           <ci>C_3</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>k_43</ci>
                           <ci>C_4</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>I_NBC_SS</ci>
            <apply>
               <times/>
               <apply>
                  <minus/>
                  <ci>F</ci>
               </apply>
               <apply>
                  <plus/>
                  <apply>
                     <times/>
                     <ci>z_c</ci>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>k_16</ci>
                           <ci>C1</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>k_61</ci>
                           <ci>C6</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>z_c</ci>
                        <apply>
                           <times/>
                           <ci>z_Na</ci>
                           <ci>n</ci>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>k_25</ci>
                           <ci>C2</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>k_52</ci>
                           <ci>C5</ci>
                        </apply>
                     </apply>
                  </apply>
                  <apply>
                     <times/>
                     <apply>
                        <plus/>
                        <ci>z_c</ci>
                        <apply>
                           <times/>
                           <ci>z_Na</ci>
                           <ci>n</ci>
                        </apply>
                     </apply>
                     <apply>
                        <minus/>
                        <apply>
                           <times/>
                           <ci>k_34</ci>
                           <ci>C3</ci>
                        </apply>
                        <apply>
                           <times/>
                           <ci>k_43</ci>
                           <ci>C4</ci>
                        </apply>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="rate_constants" component_2="ion_concentrations"/>
      <map_variables variable_1="Na_i" variable_2="Na_i"/>
      <map_variables variable_1="Na_o" variable_2="Na_o"/>
      <map_variables variable_1="glucose_i" variable_2="glucose_i"/>
      <map_variables variable_1="glucose_o" variable_2="glucose_o"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="rate_constants" component_2="kinetic_equations"/>
      <map_variables variable_1="k_12" variable_2="k_12"/>
      <map_variables variable_1="k_21" variable_2="k_21"/>
      <map_variables variable_1="k_23" variable_2="k_23"/>
      <map_variables variable_1="k_32" variable_2="k_32"/>
      <map_variables variable_1="k_25" variable_2="k_25"/>
      <map_variables variable_1="k_52" variable_2="k_52"/>
      <map_variables variable_1="k_34" variable_2="k_34"/>
      <map_variables variable_1="k_43" variable_2="k_43"/>
      <map_variables variable_1="k_45" variable_2="k_45"/>
      <map_variables variable_1="k_54" variable_2="k_54"/>
      <map_variables variable_1="k_56" variable_2="k_56"/>
      <map_variables variable_1="k_65" variable_2="k_65"/>
      <map_variables variable_1="k_61" variable_2="k_61"/>
      <map_variables variable_1="k_16" variable_2="k_16"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="rate_constants" component_2="king_altman_states"/>
      <map_variables variable_1="k_12" variable_2="k_12"/>
      <map_variables variable_1="k_21" variable_2="k_21"/>
      <map_variables variable_1="k_23" variable_2="k_23"/>
      <map_variables variable_1="k_32" variable_2="k_32"/>
      <map_variables variable_1="k_25" variable_2="k_25"/>
      <map_variables variable_1="k_52" variable_2="k_52"/>
      <map_variables variable_1="k_34" variable_2="k_34"/>
      <map_variables variable_1="k_43" variable_2="k_43"/>
      <map_variables variable_1="k_45" variable_2="k_45"/>
      <map_variables variable_1="k_54" variable_2="k_54"/>
      <map_variables variable_1="k_56" variable_2="k_56"/>
      <map_variables variable_1="k_65" variable_2="k_65"/>
      <map_variables variable_1="k_61" variable_2="k_61"/>
      <map_variables variable_1="k_16" variable_2="k_16"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="rate_constants" component_2="NBC_current"/>
      <map_variables variable_1="k_34" variable_2="k_34"/>
      <map_variables variable_1="k_43" variable_2="k_43"/>
      <map_variables variable_1="k_25" variable_2="k_25"/>
      <map_variables variable_1="k_52" variable_2="k_52"/>
      <map_variables variable_1="k_61" variable_2="k_61"/>
      <map_variables variable_1="k_16" variable_2="k_16"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="NBC_current" component_2="parameters"/>
      <map_variables variable_1="delta" variable_2="delta"/>
      <map_variables variable_1="n" variable_2="n"/>
      <map_variables variable_1="z_c" variable_2="z_c"/>
      <map_variables variable_1="z_Na" variable_2="z_Na"/>
      <map_variables variable_1="F" variable_2="F"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="NBC_current" component_2="kinetic_equations"/>
      <map_variables variable_1="C_1" variable_2="C_1"/>
      <map_variables variable_1="C_2" variable_2="C_2"/>
      <map_variables variable_1="C_3" variable_2="C_3"/>
      <map_variables variable_1="C_4" variable_2="C_4"/>
      <map_variables variable_1="C_5" variable_2="C_5"/>
      <map_variables variable_1="C_6" variable_2="C_6"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="NBC_current" component_2="king_altman_states"/>
      <map_variables variable_1="C1" variable_2="C1"/>
      <map_variables variable_1="C2" variable_2="C2"/>
      <map_variables variable_1="C3" variable_2="C3"/>
      <map_variables variable_1="C4" variable_2="C4"/>
      <map_variables variable_1="C5" variable_2="C5"/>
      <map_variables variable_1="C6" variable_2="C6"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="kinetic_equations" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="kinetic_equations" component_2="parameters"/>
      <map_variables variable_1="C_T" variable_2="C_T"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="king_altman_states" component_2="parameters"/>
      <map_variables variable_1="C_T" variable_2="C_T"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="rate_constants" component_2="parameters"/>
      <map_variables variable_1="k0_12" variable_2="k0_12"/>
      <map_variables variable_1="k0_21" variable_2="k0_21"/>
      <map_variables variable_1="k0_23" variable_2="k0_23"/>
      <map_variables variable_1="k0_32" variable_2="k0_32"/>
      <map_variables variable_1="k0_25" variable_2="k0_25"/>
      <map_variables variable_1="k0_52" variable_2="k0_52"/>
      <map_variables variable_1="k0_34" variable_2="k0_34"/>
      <map_variables variable_1="k0_43" variable_2="k0_43"/>
      <map_variables variable_1="k0_45" variable_2="k0_45"/>
      <map_variables variable_1="k0_54" variable_2="k0_54"/>
      <map_variables variable_1="k0_56" variable_2="k0_56"/>
      <map_variables variable_1="k0_65" variable_2="k0_65"/>
      <map_variables variable_1="k0_61" variable_2="k0_61"/>
      <map_variables variable_1="k0_16" variable_2="k0_16"/>
      <map_variables variable_1="delta" variable_2="delta"/>
      <map_variables variable_1="alpha_p" variable_2="alpha_p"/>
      <map_variables variable_1="alpha_pp" variable_2="alpha_pp"/>
      <map_variables variable_1="C_T" variable_2="C_T"/>
      <map_variables variable_1="n" variable_2="n"/>
      <map_variables variable_1="z_c" variable_2="z_c"/>
      <map_variables variable_1="z_Na" variable_2="z_Na"/>
      <map_variables variable_1="mu" variable_2="mu"/>
   </connection>
   <connection xmlns="http://www.cellml.org/cellml/1.0#">
      <map_components component_1="ion_concentrations" component_2="parameters"/>
      <map_variables variable_1="V" variable_2="V"/>
   </connection>
</model>