Location: Na+/H+ Exchanger @ 56c9b39cffbb / Weinstein_1995_NHE3.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2016-04-04 14:53:57+12:00
- Desc:
- fix a bug
- Permanent Source URI:
- https://models.cellml.org/workspace/28f/rawfile/56c9b39cffbb33480e63825d58d187472e3fb4bd/Weinstein_1995_NHE3.cellml
<?xml version='1.0'?>
<!-- This CellML file was generated from:
Weinstein, Alan M. "A kinetically defined Na+/H+ antiporter within a mathematical model of the rat proximal tubule." The Journal of general physiology 105.5 (1995): 617-641.-->
<model cmeta:id="Weinstein_1995_NHE3" name="Weinstein_1995_NHE3" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="Units/Units.cellml">
<units name="mM" units_ref="mM"/>
<units name="mM_per_s" units_ref="mM_per_s"/>
<units name="per_s" units_ref="per_s"/>
</import>
<component name="NHE3">
<variable name="Na_ext" public_interface="in" units="mM"/>
<variable name="Na_int" public_interface="in" units="mM"/>
<variable name="H_ext" public_interface="in" units="mM"/>
<variable name="H_int" public_interface="in" units="mM"/>
<variable name="NH4_ext" public_interface="in" units="mM"/>
<variable name="NH4_int" public_interface="in" units="mM"/>
<variable name="J_NHE3_Na" public_interface="out" units="mM_per_s"/>
<variable name="J_NHE3_H" public_interface="out" units="mM_per_s"/>
<variable name="J_NHE3_NH4" public_interface="out" units="mM_per_s"/>
<variable name="J_NHE3_Na_Max" public_interface="out" units="mM_per_s"/>
<variable initial_value="1.0" name="x_T" units="mM"/>
<variable name="sigma" units="per_s"/>
<variable name="P_Na" units="per_s"/>
<variable name="P_H" units="per_s"/>
<variable name="P_NH4" units="per_s"/>
<variable initial_value="1.6e-3" name="P0_Na" units="per_s"/>
<variable initial_value="0.48e-3" name="P0_H" units="per_s"/>
<variable initial_value="1.6e-3" name="P0_NH4" units="per_s"/>
<variable initial_value="30.0" name="K_Na" units="mM"/>
<variable initial_value="72e-6" name="K_H" units="mM"/>
<variable initial_value="27.0" name="K_NH4" units="mM"/>
<variable initial_value="1.0e-6" name="K_I" units="mM"/>
<variable initial_value="0.0" name="f_m" units="dimensionless"/>
<variable initial_value="2.0" name="f_M" units="dimensionless"/>
<variable name="alpha_ext_Na" units="dimensionless"/>
<variable name="alpha_int_Na" units="dimensionless"/>
<variable name="beta_ext_H" units="dimensionless"/>
<variable name="beta_int_H" units="dimensionless"/>
<variable name="gamma_ext_NH4" units="dimensionless"/>
<variable name="gamma_int_NH4" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_ext_Na</ci>
<apply>
<divide/>
<ci>Na_ext</ci>
<ci>K_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_int_Na</ci>
<apply>
<divide/>
<ci>Na_int</ci>
<ci>K_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_ext_H</ci>
<apply>
<divide/>
<ci>H_ext</ci>
<ci>K_H</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_int_H</ci>
<apply>
<divide/>
<ci>H_int</ci>
<ci>K_H</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma_ext_NH4</ci>
<apply>
<divide/>
<ci>NH4_ext</ci>
<ci>K_NH4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma_int_NH4</ci>
<apply>
<divide/>
<ci>NH4_int</ci>
<ci>K_NH4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>P_Na</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>P0_Na</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>f_M</ci>
<ci>H_int</ci>
</apply>
<apply>
<times/>
<ci>f_m</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>H_int</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>P_H</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>P0_H</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>f_M</ci>
<ci>H_int</ci>
</apply>
<apply>
<times/>
<ci>f_m</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>H_int</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>P_NH4</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>P0_NH4</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>f_M</ci>
<ci>H_int</ci>
</apply>
<apply>
<times/>
<ci>f_m</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>H_int</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>sigma</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>P_Na</ci>
<ci>alpha_int_Na</ci>
</apply>
<apply>
<times/>
<ci>P_H</ci>
<ci>beta_int_H</ci>
</apply>
<apply>
<times/>
<ci>P_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>P_Na</ci>
<ci>alpha_ext_Na</ci>
</apply>
<apply>
<times/>
<ci>P_H</ci>
<ci>beta_ext_H</ci>
</apply>
<apply>
<times/>
<ci>P_NH4</ci>
<ci>gamma_ext_NH4</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NHE3_Na</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>x_T</ci>
<ci>sigma</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>P_Na</ci>
<ci>P_H</ci>
<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/>
<ci>P_Na</ci>
<ci>P_NH4</ci>
<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>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NHE3_H</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>x_T</ci>
<ci>sigma</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>P_Na</ci>
<ci>P_H</ci>
<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/>
<ci>P_H</ci>
<ci>P_NH4</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>beta_int_H</ci>
<ci>gamma_ext_NH4</ci>
</apply>
<apply>
<times/>
<ci>beta_ext_H</ci>
<ci>gamma_int_NH4</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NHE3_NH4</ci>
<apply>
<times/>
<apply>
<divide/>
<ci>x_T</ci>
<ci>sigma</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>P_Na</ci>
<ci>P_NH4</ci>
<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>
<times/>
<ci>P_H</ci>
<ci>P_NH4</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>beta_ext_H</ci>
<ci>gamma_int_NH4</ci>
</apply>
<apply>
<times/>
<ci>gamma_ext_NH4</ci>
<ci>beta_int_H</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NHE3_Na_Max</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>x_T</ci>
<ci>P_Na</ci>
<ci>P_H</ci>
</apply>
<apply>
<plus/>
<ci>P_Na</ci>
<ci>P_H</ci>
</apply>
</apply>
</apply>
</math>
</component>
<rdf:RDF xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="">
<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">A kinetic model of Na+/H+ exchanger (NHE3)</dc:title>
</rdf:Description>
<rdf:Description xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" rdf:about="#Weinstein_1995_NHE3">
<bqs:reference xmlns:bqs="http://www.cellml.org/bqs/1.0#" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<dc:subject xmlns:dc="http://purl.org/dc/elements/1.1/" rdf:parseType="Resource" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<bqs:subject_type xmlns:bqs="http://www.cellml.org/bqs/1.0#">keyword</bqs:subject_type>
<rdf:value xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:Bag xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">
<rdf:li xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">protein module</rdf:li>
</rdf:Bag>
</rdf:value>
</dc:subject>
</bqs:reference>
</rdf:Description>
</rdf:RDF>
</model>