Rendering of the source text

<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 23/03/2009 at 10:26:53 at a.m. using:

COR (0.9.31.1197)
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/
-->
<model name="Proximal_Tubule_NHE3" cmeta:id="Proximal_Tubule_NHE3" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
   <units name="mmol">
      <unit units="mole" prefix="milli"/>
   </units>
   <units name="umol">
      <unit units="mole" prefix="micro"/>
   </units>
   <units name="nmol">
      <unit units="mole" prefix="nano"/>
   </units>
   <units name="mM">
      <unit units="mole" prefix="milli"/>
      <unit units="litre" exponent="-1"/>
   </units>
   <units name="M">
      <unit units="mole"/>
      <unit units="litre" exponent="-1"/>
   </units>
   <units name="cm">
      <unit units="metre" prefix="centi"/>
   </units>
   <units name="cm2">
      <unit units="metre" prefix="centi" exponent="2"/>
   </units>
   <units name="mM_per_s">
      <unit units="mM"/>
      <unit units="second" exponent="-1"/>
   </units>
   <units name="per_s">
      <unit units="second" exponent="-1"/>
   </units>
   <units name="mmol_per_s_per_cm2">
      <unit units="mmol"/>
      <unit units="second" exponent="-1"/>
      <unit units="cm2" exponent="-1"/>
   </units>
   <units name="nmol_per_s_per_cm2">
      <unit units="nmol"/>
      <unit units="second" exponent="-1"/>
      <unit units="cm2" exponent="-1"/>
   </units>
   <component name="environment">
      <variable name="time" units="second" public_interface="out"/>
   </component>
   <component name="Concentrations">
      <variable name="C_ext_Na" units="mM" initial_value="1" public_interface="out"/>
      <variable name="C_ext_H" units="mM" initial_value="5.4954e-5" public_interface="out"/>
      <variable name="C_ext_NH4" units="mM" initial_value="0" public_interface="out"/>
      <variable name="C_int_Na" units="mM" initial_value="0" public_interface="out"/>
      <variable name="C_int_H" units="mM" public_interface="out"/>
      <variable name="C_int_NH4" units="mM" initial_value="0" public_interface="out"/>
      <variable name="time" units="second" public_interface="in"/>
      <variable name="pH_int" units="dimensionless" initial_value="4"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <apply>
               <diff/>
               <bvar>
                  <ci>time</ci>
               </bvar>
               <ci>pH_int</ci>
            </apply>
            <cn cellml:units="per_s">5</cn>
         </apply>
         <apply>
            <eq/>
            <ci>C_int_H</ci>
            <apply>
               <times/>
               <cn type="e-notation" cellml:units="mM">1<sep/>3</cn>
               <apply>
                  <power/>
                  <cn cellml:units="dimensionless">10</cn>
                  <apply>
                     <minus/>
                     <ci>pH_int</ci>
                  </apply>
               </apply>
            </apply>
         </apply>
      </math>
   </component>
   <component name="NHE3_Parameters">
      <variable name="XTxP0_NHE3_Na" units="nmol_per_s_per_cm2" initial_value="1.6e-3" public_interface="out"/>
      <variable name="XTxP0_NHE3_H" units="nmol_per_s_per_cm2" initial_value="0.48e-3" public_interface="out"/>
      <variable name="XTxP0_NHE3_NH4" units="nmol_per_s_per_cm2" initial_value="1.6e-3" public_interface="out"/>
      <variable name="K_NHE3_Na" units="mM" initial_value="30" public_interface="out"/>
      <variable name="K_NHE3_H" units="mM" initial_value="72e-6" public_interface="out"/>
      <variable name="K_NHE3_NH4" units="mM" initial_value="0.027e3" public_interface="out"/>
   </component>
   <component name="NHE3">
      <variable name="C_ext_Na" units="mM" public_interface="in"/>
      <variable name="C_ext_H" units="mM" public_interface="in"/>
      <variable name="C_ext_NH4" units="mM" public_interface="in"/>
      <variable name="C_int_Na" units="mM" public_interface="in"/>
      <variable name="C_int_H" units="mM" public_interface="in"/>
      <variable name="C_int_NH4" units="mM" public_interface="in"/>
      <variable name="XTxP0_NHE3_Na" units="nmol_per_s_per_cm2" public_interface="in"/>
      <variable name="XTxP0_NHE3_H" units="nmol_per_s_per_cm2" public_interface="in"/>
      <variable name="XTxP0_NHE3_NH4" units="nmol_per_s_per_cm2" public_interface="in"/>
      <variable name="XTxP_NHE3_Na" units="nmol_per_s_per_cm2"/>
      <variable name="XTxP_NHE3_H" units="nmol_per_s_per_cm2"/>
      <variable name="XTxP_NHE3_NH4" units="nmol_per_s_per_cm2"/>
      <variable name="K_NHE3_Na" units="mM" public_interface="in"/>
      <variable name="K_NHE3_H" units="mM" public_interface="in"/>
      <variable name="K_NHE3_NH4" units="mM" public_interface="in"/>
      <variable name="alpha_ext_Na" units="dimensionless"/>
      <variable name="beta_ext_H" units="dimensionless"/>
      <variable name="gamma_ext_NH4" units="dimensionless"/>
      <variable name="alpha_int_Na" units="dimensionless"/>
      <variable name="beta_int_H" units="dimensionless"/>
      <variable name="gamma_int_NH4" units="dimensionless"/>
      <variable name="sum_NHE3" units="nmol_per_s_per_cm2"/>
      <variable name="J_NHE3_Na" units="nmol_per_s_per_cm2" public_interface="out"/>
      <variable name="J_NHE3_H" units="nmol_per_s_per_cm2" public_interface="out"/>
      <variable name="J_NHE3_NH4" units="nmol_per_s_per_cm2" public_interface="out"/>
      <variable name="J_NHE3_Na_Max" units="nmol_per_s_per_cm2"/>
      <variable name="plot" units="dimensionless"/>
      <variable name="J_NHE3_Na2" units="nmol_per_s_per_cm2" public_interface="out"/>
      <variable name="J_NHE3_H2" units="nmol_per_s_per_cm2" public_interface="out"/>
      <variable name="J_NHE3_NH42" units="nmol_per_s_per_cm2" public_interface="out"/>
      <variable name="sum0_NHE3" units="nmol_per_s_per_cm2"/>
      <variable name="plot2" units="dimensionless"/>
      <math xmlns="http://www.w3.org/1998/Math/MathML">
         <apply>
            <eq/>
            <ci>alpha_ext_Na</ci>
            <apply>
               <divide/>
               <ci>C_ext_Na</ci>
               <ci>K_NHE3_Na</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_ext_H</ci>
            <apply>
               <divide/>
               <ci>C_ext_H</ci>
               <ci>K_NHE3_H</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>gamma_ext_NH4</ci>
            <apply>
               <divide/>
               <ci>C_ext_NH4</ci>
               <ci>K_NHE3_NH4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>alpha_int_Na</ci>
            <apply>
               <divide/>
               <ci>C_int_Na</ci>
               <ci>K_NHE3_Na</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>beta_int_H</ci>
            <apply>
               <divide/>
               <ci>C_int_H</ci>
               <ci>K_NHE3_H</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>gamma_int_NH4</ci>
            <apply>
               <divide/>
               <ci>C_int_NH4</ci>
               <ci>K_NHE3_NH4</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>XTxP_NHE3_Na</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>XTxP0_NHE3_Na</ci>
                  <cn cellml:units="dimensionless">2</cn>
                  <ci>C_int_H</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>C_int_H</ci>
                  <cn type="e-notation" cellml:units="mM">1<sep/>-3</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>XTxP_NHE3_H</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>XTxP0_NHE3_H</ci>
                  <cn cellml:units="dimensionless">2</cn>
                  <ci>C_int_H</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>C_int_H</ci>
                  <cn type="e-notation" cellml:units="mM">1<sep/>-3</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>XTxP_NHE3_NH4</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>XTxP0_NHE3_NH4</ci>
                  <cn cellml:units="dimensionless">2</cn>
                  <ci>C_int_H</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>C_int_H</ci>
                  <cn type="e-notation" cellml:units="mM">1<sep/>-3</cn>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>sum_NHE3</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>alpha_ext_Na</ci>
                     <ci>beta_ext_H</ci>
                     <ci>gamma_ext_NH4</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_Na</ci>
                        <ci>alpha_int_Na</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_H</ci>
                        <ci>beta_int_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_NH4</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>alpha_int_Na</ci>
                     <ci>beta_int_H</ci>
                     <ci>gamma_int_NH4</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_Na</ci>
                        <ci>alpha_ext_Na</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_H</ci>
                        <ci>beta_ext_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_NH4</ci>
                        <ci>gamma_ext_NH4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_NHE3_Na</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_Na</ci>
                        <ci>XTxP_NHE3_H</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>alpha_ext_Na</ci>
                        <ci>beta_int_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>alpha_int_Na</ci>
                        <ci>beta_ext_H</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_Na</ci>
                        <ci>XTxP_NHE3_NH4</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>alpha_ext_Na</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>alpha_int_Na</ci>
                        <ci>gamma_ext_NH4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_NHE3_H</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_Na</ci>
                        <ci>XTxP_NHE3_H</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>alpha_int_Na</ci>
                        <ci>beta_ext_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>alpha_ext_Na</ci>
                        <ci>beta_int_H</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_H</ci>
                        <ci>XTxP_NHE3_NH4</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>beta_ext_H</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>beta_int_H</ci>
                        <ci>gamma_ext_NH4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_NHE3_NH4</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_Na</ci>
                        <ci>XTxP_NHE3_NH4</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>alpha_int_Na</ci>
                        <ci>gamma_ext_NH4</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>alpha_ext_Na</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP_NHE3_H</ci>
                        <ci>XTxP_NHE3_NH4</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gamma_ext_NH4</ci>
                        <ci>beta_int_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>beta_ext_H</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_NHE3_Na_Max</ci>
            <apply>
               <divide/>
               <apply>
                  <times/>
                  <ci>XTxP0_NHE3_Na</ci>
                  <ci>XTxP0_NHE3_H</ci>
               </apply>
               <apply>
                  <plus/>
                  <ci>XTxP0_NHE3_Na</ci>
                  <ci>XTxP0_NHE3_H</ci>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>plot</ci>
            <apply>
               <divide/>
               <ci>J_NHE3_Na</ci>
               <ci>J_NHE3_Na_Max</ci>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>sum0_NHE3</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>alpha_ext_Na</ci>
                     <ci>beta_ext_H</ci>
                     <ci>gamma_ext_NH4</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_Na</ci>
                        <ci>alpha_int_Na</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_H</ci>
                        <ci>beta_int_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_NH4</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <plus/>
                     <cn cellml:units="dimensionless">1</cn>
                     <ci>alpha_int_Na</ci>
                     <ci>beta_int_H</ci>
                     <ci>gamma_int_NH4</ci>
                  </apply>
                  <apply>
                     <plus/>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_Na</ci>
                        <ci>alpha_ext_Na</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_H</ci>
                        <ci>beta_ext_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_NH4</ci>
                        <ci>gamma_ext_NH4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_NHE3_Na2</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_Na</ci>
                        <ci>XTxP0_NHE3_H</ci>
                     </apply>
                     <ci>sum0_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>alpha_ext_Na</ci>
                        <ci>beta_int_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>alpha_int_Na</ci>
                        <ci>beta_ext_H</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_Na</ci>
                        <ci>XTxP0_NHE3_NH4</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>alpha_ext_Na</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>alpha_int_Na</ci>
                        <ci>gamma_ext_NH4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_NHE3_H2</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_Na</ci>
                        <ci>XTxP0_NHE3_H</ci>
                     </apply>
                     <ci>sum0_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>alpha_int_Na</ci>
                        <ci>beta_ext_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>alpha_ext_Na</ci>
                        <ci>beta_int_H</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_H</ci>
                        <ci>XTxP0_NHE3_NH4</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>beta_ext_H</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>beta_int_H</ci>
                        <ci>gamma_ext_NH4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>J_NHE3_NH42</ci>
            <apply>
               <plus/>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_Na</ci>
                        <ci>XTxP0_NHE3_NH4</ci>
                     </apply>
                     <ci>sum0_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>alpha_int_Na</ci>
                        <ci>gamma_ext_NH4</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>alpha_ext_Na</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                  </apply>
               </apply>
               <apply>
                  <times/>
                  <apply>
                     <divide/>
                     <apply>
                        <times/>
                        <ci>XTxP0_NHE3_H</ci>
                        <ci>XTxP0_NHE3_NH4</ci>
                     </apply>
                     <ci>sum_NHE3</ci>
                  </apply>
                  <apply>
                     <minus/>
                     <apply>
                        <times/>
                        <ci>gamma_ext_NH4</ci>
                        <ci>beta_int_H</ci>
                     </apply>
                     <apply>
                        <times/>
                        <ci>beta_ext_H</ci>
                        <ci>gamma_int_NH4</ci>
                     </apply>
                  </apply>
               </apply>
            </apply>
         </apply>
         <apply>
            <eq/>
            <ci>plot2</ci>
            <apply>
               <divide/>
               <ci>J_NHE3_Na2</ci>
               <ci>J_NHE3_Na_Max</ci>
            </apply>
         </apply>
      </math>
   </component>
   <connection>
      <map_components component_1="NHE3_Parameters" component_2="NHE3"/>
      <map_variables variable_1="K_NHE3_Na" variable_2="K_NHE3_Na"/>
      <map_variables variable_1="K_NHE3_H" variable_2="K_NHE3_H"/>
      <map_variables variable_1="K_NHE3_NH4" variable_2="K_NHE3_NH4"/>
      <map_variables variable_1="XTxP0_NHE3_Na" variable_2="XTxP0_NHE3_Na"/>
      <map_variables variable_1="XTxP0_NHE3_H" variable_2="XTxP0_NHE3_H"/>
      <map_variables variable_1="XTxP0_NHE3_NH4" variable_2="XTxP0_NHE3_NH4"/>
   </connection>
   <connection>
      <map_components component_1="Concentrations" component_2="NHE3"/>
      <map_variables variable_1="C_ext_Na" variable_2="C_ext_Na"/>
      <map_variables variable_1="C_ext_H" variable_2="C_ext_H"/>
      <map_variables variable_1="C_ext_NH4" variable_2="C_ext_NH4"/>
      <map_variables variable_1="C_int_Na" variable_2="C_int_Na"/>
      <map_variables variable_1="C_int_H" variable_2="C_int_H"/>
      <map_variables variable_1="C_int_NH4" variable_2="C_int_NH4"/>
   </connection>
   <connection>
      <map_components component_1="Concentrations" component_2="environment"/>
      <map_variables variable_1="time" variable_2="time"/>
   </connection>
</model>