- 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/CFTR_flux.cellml
<?xml version='1.0'?>
<!--Original Paper:Hodgkin, Alan L., and Andrew F. Huxley. "A quantitative description of membrane current and its application to conduction and excitation in nerve." The Journal of physiology 117.4 (1952): 500-544.
Link in Exposure:-->
<model name="CFTR_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="CFTR">
<variable name="z_Cl" public_interface="in" units="dimensionless"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="Cl_i" public_interface="in" units="M"/>
<variable name="Cl_m" public_interface="in" units="M"/>
<variable name="V_A_Cl" public_interface="out" units="volt"/>
<variable name="V_A_HCO3" public_interface="out" units="volt"/>
<variable name="v_mc" public_interface="in" units="volt"/>
<variable name="J_CFTR" public_interface="out" units="umol_per_s"/>
<variable name="J_CFTR_HCO3" public_interface="out" units="umol_per_s"/>
<variable name="I_CFTR" public_interface="out" units="uA"/>
<variable name="I_CFTR_HCO3" public_interface="out" units="uA"/>
<variable name="A_Apical" public_interface="in" units="m2"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable initial_value="9" name="G_CFTR" public_interface="out" units="S"/>
<variable name="HCO3_i" public_interface="in" units="M"/>
<variable name="HCO3_m" public_interface="in" units="M"/>
<variable initial_value="-1" name="z_HCO3" public_interface="out" units="dimensionless"/>
<variable initial_value="0.1" name="alpha_CFTR" public_interface="out" units="per_m2"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_CFTR</ci>
<apply>
<divide/>
<ci>I_CFTR</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>V_A_Cl</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<ci>z_Cl</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Cl_m</ci>
<ci>Cl_i</ci>
</apply>
</apply>
</apply>
</apply>
<!-- 1e6 is for unit consistency in order to change Ampere to MicorAmpere -->
<apply>
<eq/>
<ci>I_CFTR</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
</apply>
<ci>G_CFTR</ci>
<ci>alpha_CFTR</ci>
<ci>A_Apical</ci>
<apply>
<minus/>
<ci>v_mc</ci>
<ci>V_A_Cl</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_A_HCO3</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<ci>z_HCO3</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>HCO3_m</ci>
<ci>HCO3_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_CFTR_HCO3</ci>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">0.25<sep/>6</cn>
<ci>G_CFTR</ci>
<ci>alpha_CFTR</ci>
<ci>A_Apical</ci>
<apply>
<minus/>
<ci>v_mc</ci>
<ci>V_A_HCO3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_CFTR_HCO3</ci>
<apply>
<divide/>
<ci>I_CFTR_HCO3</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>
