- Author:
- Nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2019-07-21 09:46:02+12:00
- Desc:
- Modular version of glucose uptake model (contains water transporters and cell volume changes)
- Permanent Source URI:
- https://models.cellml.org/workspace/58c/rawfile/2ad89252015aa87ebc327c2d547bd99bc7629853/NaKCC_flux.cellml
<?xml version='1.0'?>
<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="Na_i" public_interface="in" units="M"/>
<variable name="K_i" public_interface="in" units="M"/>
<variable name="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="20000000" 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="1380000" 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>Na_i</ci>
<ci>Cl_i</ci>
<ci>Cl_i</ci>
<ci>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>
<apply>
<eq/>
<ci>J_NaKCC</ci>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
<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>
