Location: Glucose Uptake in Enterocyte @ 5c28c09a41d3 / NHE3_flux.cellml
- Author:
- Nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2018-04-09 08:03:37+12:00
- Desc:
- NHE3
- Permanent Source URI:
- https://models.fieldml.org/workspace/572/rawfile/5c28c09a41d31e690ae34f3455c251650b10ec61/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">
<!--var A_Apical: m2 {pub: in};-->
<variable name="V_cell" public_interface="in" units="m3"/>
<variable name="q_Na_m" public_interface="in" units="M"/>
<variable name="q_Na_i" public_interface="in" units="M"/>
<variable name="q_H_Ext" public_interface="in" units="M"/>
<variable name="q_H_int" public_interface="in" units="M"/>
<variable initial_value="0.0" name="q_NH4_ext" public_interface="out" units="M"/>
<variable initial_value="0.0" name="q_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="2e-3" name="x_T" units="M"/>
<variable name="sigma" units="per_second"/>
<variable name="P_Na" units="per_second"/>
<variable name="P_H" units="per_second"/>
<variable name="P_NH4" units="per_second"/>
<variable initial_value="16" name="P0_Na" units="per_second"/>
<variable initial_value="4.8" name="P0_H" units="per_second"/>
<variable initial_value="16" name="P0_NH4" units="per_second"/>
<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>q_Na_m</ci>
<ci>K_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>alpha_int_Na</ci>
<apply>
<divide/>
<ci>q_Na_i</ci>
<ci>K_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_ext_H</ci>
<apply>
<divide/>
<ci>q_H_Ext</ci>
<ci>K_H</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>beta_int_H</ci>
<apply>
<divide/>
<ci>q_H_int</ci>
<ci>K_H</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma_ext_NH4</ci>
<apply>
<divide/>
<ci>q_NH4_ext</ci>
<ci>K_NH4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>gamma_int_NH4</ci>
<apply>
<divide/>
<ci>q_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>q_H_int</ci>
</apply>
<apply>
<times/>
<ci>f_m</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>q_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>q_H_int</ci>
</apply>
<apply>
<times/>
<ci>f_m</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>q_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>q_H_int</ci>
</apply>
<apply>
<times/>
<ci>f_m</ci>
<ci>K_I</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<ci>q_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/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>9</cn>
</apply>
<ci>V_cell</ci>
<ci>x_T</ci>
</apply>
<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/>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>9</cn>
<ci>V_cell</ci>
<ci>x_T</ci>
</apply>
<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_H1</ci>
<apply>
<times/>
<ci>J_NHE3_H</ci>
<cn cellml:units="dimensionless" type="e-notation">36<sep/>8</cn>
</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>
<apply>
<eq/>
<ci>I_NHE3_H</ci>
<apply>
<times/>
<ci>J_NHE3_H</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_NHE3_Na</ci>
<apply>
<times/>
<ci>J_NHE3_Na</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>