- 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/KCNQ_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="KCNQ_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="KCNQ">
<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_s" public_interface="in" units="M"/>
<variable name="Ca_i" public_interface="in" units="M"/>
<variable name="V_A_KCNQ" public_interface="out" units="volt"/>
<variable name="v_sc" public_interface="in" units="volt"/>
<variable name="J_KCNQ" public_interface="out" units="umol_per_s"/>
<variable name="I_KCNQ" 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="1.8" name="G_KCNQ" public_interface="out" units="S_per_m2"/>
<!--var P_IK: dimensionless {pub: out};-->
<variable initial_value="0.0003" name="K_s_KCNQ" public_interface="out" units="M"/>
<variable initial_value="1.7" name="eta" public_interface="out" units="dimensionless"/>
<!-- alpha is not multipled by area in order to have a dimensionless unit, so the unit is actually 1/m2, it's necessary to the same for CFTR as well-->
<!--var alpha_IK: per_m2 {init: 1, pub: out};-->
<!--P_IK = 1{dimensionless}/(1{dimensionless}+pow(K_s_IK/Ca_i, eta));-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_A_KCNQ</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_s</ci>
<ci>K_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_KCNQ</ci>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>+6</cn>
</apply>
<ci>G_KCNQ</ci>
<ci>A_Apical</ci>
<apply>
<minus/>
<ci>v_sc</ci>
<ci>V_A_KCNQ</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_KCNQ</ci>
<apply>
<divide/>
<ci>I_KCNQ</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
</model>
