- Author:
- Nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2019-02-28 09:58:33+13:00
- Desc:
- Modular version of Glucose uptake Model
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/572/rawfile/6066854b2dce50dac76167b409bc51ca81329384/BK_flux.cellml
<?xml version='1.0'?>
<model name="BK_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="BK">
<variable name="z_k" 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="K_i" public_interface="in" units="M"/>
<variable name="K_m" public_interface="in" units="M"/>
<variable name="Ca_i" public_interface="in" units="M"/>
<variable name="V_A_BK" public_interface="out" units="volt"/>
<variable name="v_mc" public_interface="in" units="volt"/>
<variable name="J_BK" public_interface="out" units="umol_per_s"/>
<variable name="I_BK" 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="1" name="G_BK" public_interface="out" units="S_per_m2"/>
<variable name="P_BK" public_interface="out" units="dimensionless"/>
<variable initial_value="0.0003" name="K_s_BK" public_interface="out" units="M"/>
<variable initial_value="1.7" name="eta" public_interface="out" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>P_BK</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<power/>
<apply>
<divide/>
<ci>K_s_BK</ci>
<ci>Ca_i</ci>
</apply>
<ci>eta</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>V_A_BK</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<ci>z_k</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>K_m</ci>
<ci>K_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_BK</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>+6</cn>
</apply>
<ci>G_BK</ci>
<ci>P_BK</ci>
<ci>A_Apical</ci>
<apply>
<minus/>
<ci>v_mc</ci>
<ci>V_A_BK</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_BK</ci>
<apply>
<divide/>
<ci>I_BK</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>
