- Author:
- jonna <devnull@localhost>
- Date:
- 2009-09-01 14:04:32+12:00
- Desc:
- Model Files
- Permanent Source URI:
- http://models.cellml.org/w/andre/weinstein_1995/rawfile/d4b1dbc8a81c960c4a5de312e2fb81a3c4270ccb/Weinstein_1995_NHE3.cellml
<?xml version="1.0" encoding="utf-8"?>
<!--
This CellML file was generated on 27/05/2009 at 9:55:15 at a.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/
-->
<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="140" public_interface="out"/>
<variable name="C_ext_H" units="mM" initial_value="4.95e-2" public_interface="out"/>
<variable name="C_ext_NH4" units="mM" initial_value="0.2" public_interface="out"/>
<variable name="C_int_Na" units="mM" initial_value="19.6" public_interface="out"/>
<variable name="C_int_H" units="mM" initial_value="1e-3" public_interface="out"/>
<variable name="C_int_NH4" units="mM" initial_value="0.23" public_interface="out"/>
<variable name="time" units="second" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>C_ext_Na</ci>
</apply>
<cn cellml:units="mM_per_s">10</cn>
</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="0.03e3" 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"/>
<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/>
-6</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/>
-6</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/>
-6</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>
</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>
