Location: Na+/H+ Exchanger @ c78ed2981614 / Weinstein_1995_NHE3.cellml
- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2017-02-21 11:03:01+13:00
- Desc:
- Merge branch 'master' of https://models.physiomeproject.org/workspace/28f
- Permanent Source URI:
- https://models.cellml.org/workspace/28f/rawfile/c78ed2981614c08c1f4eb9691a5c3d6ffb02c1ab/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.
If J_NHE3_H>0 then the flux direction is from intracellular space to extracellular space. (always [C_int]-J and [C_ext]+J)-->
<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="cm_per_s" units_ref="cm_per_s"/>
<units name="umol_per_s_per_cm2" units_ref="umol_per_s_per_cm2"/>
</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="umol_per_s_per_cm2"/>
<variable name="J_NHE3_H" public_interface="out" units="umol_per_s_per_cm2"/>
<variable name="J_NHE3_NH4" public_interface="out" units="umol_per_s_per_cm2"/>
<variable name="J_NHE3_Na_Max" public_interface="out" units="umol_per_s_per_cm2"/>
<variable initial_value="1.0" name="x_T" units="mM"/>
<variable name="sigma" units="cm_per_s"/>
<variable name="P_Na" units="cm_per_s"/>
<variable name="P_H" units="cm_per_s"/>
<variable name="P_NH4" units="cm_per_s"/>
<variable initial_value="1.6e-3" name="P0_Na" units="cm_per_s"/>
<variable initial_value="0.48e-3" name="P0_H" units="cm_per_s"/>
<variable initial_value="1.6e-3" name="P0_NH4" units="cm_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>
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<ci>K_NH4</ci>
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<divide/>
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<times/>
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<plus/>
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<times/>
<ci>f_M</ci>
<ci>H_int</ci>
</apply>
<apply>
<times/>
<ci>f_m</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
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<ci>K_I</ci>
</apply>
</apply>
</apply>
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<ci>P_H</ci>
<apply>
<divide/>
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<times/>
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<plus/>
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<times/>
<ci>f_M</ci>
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<ci>K_I</ci>
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</apply>
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<divide/>
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<plus/>
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<ci>K_I</ci>
</apply>
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<ci>K_I</ci>
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</apply>
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<apply>
<plus/>
<apply>
<times/>
<apply>
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<cn cellml:units="dimensionless">1</cn>
<ci>alpha_ext_Na</ci>
<ci>beta_ext_H</ci>
<ci>gamma_ext_NH4</ci>
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<ci>alpha_int_Na</ci>
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<ci>P_H</ci>
<ci>beta_int_H</ci>
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<apply>
<times/>
<ci>P_NH4</ci>
<ci>gamma_int_NH4</ci>
</apply>
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<apply>
<times/>
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<cn cellml:units="dimensionless">1</cn>
<ci>alpha_int_Na</ci>
<ci>beta_int_H</ci>
<ci>gamma_int_NH4</ci>
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<apply>
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<ci>P_H</ci>
<ci>beta_ext_H</ci>
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<apply>
<times/>
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<ci>gamma_ext_NH4</ci>
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<minus/>
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<ci>beta_ext_H</ci>
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<ci>alpha_ext_Na</ci>
<ci>gamma_int_NH4</ci>
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<ci>P_NH4</ci>
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<minus/>
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<ci>beta_int_H</ci>
<ci>gamma_ext_NH4</ci>
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<times/>
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<ci>gamma_int_NH4</ci>
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<times/>
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<ci>sigma</ci>
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<plus/>
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<ci>P_NH4</ci>
<apply>
<minus/>
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<ci>alpha_ext_Na</ci>
<ci>gamma_int_NH4</ci>
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<ci>gamma_ext_NH4</ci>
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<ci>P_NH4</ci>
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<ci>gamma_int_NH4</ci>
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<ci>P_Na</ci>
<ci>P_H</ci>
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<plus/>
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<ci>P_H</ci>
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</math>
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<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>
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<rdf:li xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#">protein module</rdf:li>
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<dc:title xmlns:dc="http://purl.org/dc/elements/1.1/">A kinetic model of Na+/H+ exchanger (NHE3)</dc:title>
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