- Author:
- Nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2018-04-07 11:14:54+12:00
- Desc:
- Modular Version
- Permanent Source URI:
- https://models.fieldml.org/workspace/572/rawfile/8026c8d7d8413070891f857494b74d49ede1f240/NaKCC_flux.cellml
<?xml version='1.0'?>
<!--Original Paper: Benjamin, B. A., & Johnson, E. A. (1997). A quantitative description of the Na-K-2Cl cotransporter and its conformity to experimental data. American Journal of Physiology-Renal Physiology, 273(3), F473-F482.
Data from: Fong, S., Chiorini, J. A., Sneyd, J., & Suresh, V. (2016). Computational modeling of epithelial fluid and ion transport in the parotid duct after transfection of human aquaporin-1. American Journal of Physiology-Gastrointestinal and Liver Physiology, 312(2), G153-G163.-->
<model name="NaKCC_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="NaKCC">
<variable name="A_Apical" public_interface="in" units="m2"/>
<variable name="S_C" public_interface="out" units="M"/>
<variable name="J_NaKCC" public_interface="out" units="umol_per_s"/>
<variable name="I_NaKCC" public_interface="out" units="uA"/>
<variable name="q_Na_i" public_interface="in" units="M"/>
<variable name="q_K_i" public_interface="in" units="M"/>
<variable name="q_Cl_i" public_interface="in" units="M"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="u_NaKCC" public_interface="out" units="per_second"/>
<variable initial_value="157.55" name="gamma_1" public_interface="out" units="per_second2"/>
<variable initial_value="2e7" name="gamma_2" public_interface="out" units="per_M4_per_second2"/>
<variable initial_value="1.03" name="gamma_3" public_interface="out" units="per_second"/>
<variable initial_value="1.38e6" name="gamma_4" public_interface="out" units="per_M4_per_second"/>
<variable initial_value="1e-9" name="alpha_NaKCC" public_interface="out" units="mole_per_m2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>S_C</ci>
<apply>
<times/>
<ci>q_Na_i</ci>
<ci>q_Cl_i</ci>
<ci>q_Cl_i</ci>
<ci>q_K_i</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_NaKCC</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>gamma_1</ci>
<apply>
<times/>
<ci>gamma_2</ci>
<ci>S_C</ci>
</apply>
</apply>
<apply>
<plus/>
<ci>gamma_3</ci>
<apply>
<times/>
<ci>gamma_4</ci>
<ci>S_C</ci>
</apply>
</apply>
</apply>
</apply>
<!--1e6 is for unit consistency in order to change mole to Micormole -->
<apply>
<eq/>
<ci>J_NaKCC</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
</apply>
<ci>alpha_NaKCC</ci>
<ci>u_NaKCC</ci>
<ci>A_Apical</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_NaKCC</ci>
<apply>
<times/>
<ci>J_NaKCC</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>
