- 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/BK_flux.cellml
<?xml version='1.0'?>
<!--Original Paper: Tabak, Joël, et al. "Low dose of dopamine may stimulate prolactin secretion by increasing fast potassium currents." Journal of computational neuroscience 22.2 (2007): 211-222.
Link in Exposure: https://models.physiomeproject.org/exposure/bdf9578fb585b949055c001c756ac822/tabak_toporikova_freeman_bertram_2007_a.cellml/view-->
<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="30" name="G_BK" public_interface="out" units="S"/>
<variable name="P_BK" public_interface="out" units="dimensionless"/>
<variable initial_value="0.3e-3" name="K_s_BK" public_interface="out" units="M"/>
<variable initial_value="1.7" name="eta" public_interface="out" units="dimensionless"/>
<variable initial_value="0.1" name="alpha_BK" public_interface="out" units="per_m2"/>
<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>
<!-- 1e6 is for unit consistency in order to change Ampere to MicorAmpere-->
<apply>
<eq/>
<ci>I_BK</ci>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
<ci>G_BK</ci>
<ci>alpha_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>
