Location: Glucose Uptake in Enterocyte @ b24423999137 / NHE3_flux.cellml
- Author:
- Glucose Uptake <nafs080@aucklanduni.ac.nz>
- Date:
- 2018-03-29 11:46:32+13:00
- Desc:
- Modular version of glucose uptake in CellML
- Permanent Source URI:
- https://models.fieldml.org/workspace/572/rawfile/b244239991379f5a8f0e4482d8ddd3cbb2a83af0/NHE3_flux.cellml
<?xml version='1.0'?>
<!--Link in Exposure: https://models.physiomeproject.org/e/2e2/Weinstein_1995_NHE3.cellml/view
Original paper: 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 name="NHE3_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="NHE3">
<variable name="A_Apical" public_interface="in" units="m2"/>
<variable name="v_cell" public_interface="in" units="m3"/>
<variable name="Na_m" public_interface="in" units="M"/>
<variable name="Na_i" public_interface="in" units="M"/>
<variable name="H_Ext" public_interface="in" units="M"/>
<variable name="H_int" public_interface="in" units="M"/>
<variable initial_value="0.0" name="NH4_ext" public_interface="out" units="M"/>
<variable initial_value="0.0" name="NH4_int" public_interface="out" units="M"/>
<variable name="J_NHE3_Na" public_interface="out" units="umol_per_s"/>
<variable name="J_NHE3_H1" public_interface="out" units="umol_per_s"/>
<variable name="J_NHE3_H" public_interface="out" units="umol_per_s"/>
<variable name="J_NHE3_NH4" public_interface="out" units="umol_per_s"/>
<variable name="J_NHE3_Na_Max" public_interface="out" units="umol_per_s"/>
<variable name="I_NHE3_H" public_interface="out" units="uA"/>
<variable name="I_NHE3_Na" public_interface="out" units="uA"/>
<variable initial_value="1e-3" name="x_T" units="M"/>
<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="30e-3" name="K_Na" units="M"/>
<variable initial_value="72e-9" name="K_H" units="M"/>
<variable initial_value="27e-3" name="K_NH4" units="M"/>
<variable initial_value="1.0e-9" name="K_I" units="M"/>
<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"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>alpha_ext_Na</ci>
<apply>
<divide/>
<ci>Na_m</ci>
<ci>K_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_int_Na</ci>
<apply>
<divide/>
<ci>Na_i</ci>
<ci>K_Na</ci>
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<ci>beta_ext_H</ci>
<apply>
<divide/>
<ci>H_Ext</ci>
<ci>K_H</ci>
</apply>
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<eq/>
<ci>beta_int_H</ci>
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<ci>H_int</ci>
<ci>K_H</ci>
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</apply>
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<eq/>
<ci>gamma_ext_NH4</ci>
<apply>
<divide/>
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<ci>K_NH4</ci>
</apply>
</apply>
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<eq/>
<ci>gamma_int_NH4</ci>
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<ci>K_NH4</ci>
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<apply>
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<divide/>
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<times/>
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<ci>H_int</ci>
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<times/>
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<ci>K_I</ci>
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<ci>H_int</ci>
<ci>K_I</ci>
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<ci>P_H</ci>
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<ci>H_int</ci>
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<times/>
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<ci>K_I</ci>
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<ci>K_I</ci>
</apply>
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</apply>
<apply>
<eq/>
<ci>P_NH4</ci>
<apply>
<divide/>
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<times/>
<ci>P0_NH4</ci>
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<times/>
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<ci>H_int</ci>
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<times/>
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<ci>K_I</ci>
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<apply>
<plus/>
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<ci>K_I</ci>
</apply>
</apply>
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<apply>
<eq/>
<ci>sigma</ci>
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<plus/>
<apply>
<times/>
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<plus/>
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<ci>alpha_ext_Na</ci>
<ci>beta_ext_H</ci>
<ci>gamma_ext_NH4</ci>
</apply>
<apply>
<plus/>
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<times/>
<ci>P_Na</ci>
<ci>alpha_int_Na</ci>
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<ci>beta_int_H</ci>
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<apply>
<times/>
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<ci>gamma_int_NH4</ci>
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<times/>
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<ci>alpha_ext_Na</ci>
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<ci>beta_ext_H</ci>
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<times/>
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<ci>gamma_ext_NH4</ci>
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</apply>
</apply>
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<ci>P_NH4</ci>
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<ci>gamma_ext_NH4</ci>
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<ci>beta_int_H</ci>
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<ci>beta_ext_H</ci>
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<ci>P_NH4</ci>
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<ci>beta_int_H</ci>
<ci>gamma_ext_NH4</ci>
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<ci>gamma_int_NH4</ci>
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<times/>
<ci>J_NHE3_H</ci>
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<ci>J_NHE3_NH4</ci>
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<divide/>
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<ci>sigma</ci>
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<plus/>
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<ci>P_Na</ci>
<ci>P_NH4</ci>
<apply>
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<ci>alpha_ext_Na</ci>
<ci>gamma_int_NH4</ci>
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<times/>
<ci>alpha_int_Na</ci>
<ci>gamma_ext_NH4</ci>
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<ci>P_NH4</ci>
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<times/>
<ci>beta_ext_H</ci>
<ci>gamma_int_NH4</ci>
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<times/>
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<ci>beta_int_H</ci>
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<apply>
<divide/>
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<ci>P_Na</ci>
<ci>P_H</ci>
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<ci>P_H</ci>
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<times/>
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<ci>I_NHE3_Na</ci>
<apply>
<times/>
<ci>J_NHE3_Na</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>