- Author:
- Glucose Uptake <nafs080@aucklanduni.ac.nz>
- Date:
- 2018-03-29 11:47:30+13:00
- Desc:
- Modular Version of Glucose Uptake in CellML
- Permanent Source URI:
- https://models.cellml.org/workspace/572/rawfile/fad507f47193ac8be8dee23ffa9448938603f792/GLUT2_flux.cellml
<?xml version='1.0'?>
<!--Original Paper: Lowe, A. G., & Walmsley, A. R. (1986). The kinetics of glucose transport in human red blood cells. Biochimica et Biophysica Acta (BBA)-Biomembranes, 857(2), 146-154.
Link in Exposure: -->
<model name="GLUT2_flux" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#">
<component name="GLUT2">
<variable initial_value="1" name="K_12" public_interface="out" units="per_M_per_second"/>
<variable initial_value="12.6" name="K_21" public_interface="out" units="per_second"/>
<variable initial_value="2000" name="K_23" public_interface="out" units="per_second"/>
<variable initial_value="90" name="K_32" public_interface="out" units="per_second"/>
<variable initial_value="12.6" name="K_34" public_interface="out" units="per_second"/>
<variable initial_value="1" name="K_43" public_interface="out" units="per_M_per_second"/>
<variable initial_value="0.726" name="K_41" public_interface="out" units="per_second"/>
<variable initial_value="12.1" name="K_14" public_interface="out" units="per_second"/>
<variable name="glucose_i" public_interface="in" units="M"/>
<variable name="glucose_s" public_interface="in" units="M"/>
<variable name="K_S" public_interface="out" units="M"/>
<variable name="J_GLUT" public_interface="out" units="umol_per_s"/>
<variable name="C_tot" public_interface="out" units="mole"/>
<variable initial_value="8e7" name="n_GLUT" public_interface="out" units="dimensionless"/>
<variable name="D" public_interface="out" units="per_second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>C_tot</ci>
<apply>
<divide/>
<ci>n_GLUT</ci>
<cn cellml:units="per_mole" type="e-notation">6.022<sep/>23</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>K_S</ci>
<apply>
<divide/>
<ci>K_21</ci>
<ci>K_12</ci>
</apply>
</apply>
<!-- 1e6 is for unit consistency in order to change mole to Micormole-->
<apply>
<eq/>
<ci>J_GLUT</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>6</cn>
<ci>C_tot</ci>
</apply>
<ci>D</ci>
</apply>
<apply>
<minus/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_23</ci>
<ci>K_41</ci>
<ci>glucose_i</ci>
</apply>
<ci>K_S</ci>
</apply>
<apply>
<divide/>
<apply>
<times/>
<ci>K_32</ci>
<ci>K_14</ci>
<ci>glucose_s</ci>
</apply>
<ci>K_S</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>D</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>glucose_i</ci>
<ci>K_S</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_32</ci>
<ci>glucose_s</ci>
</apply>
<ci>K_S</ci>
</apply>
<ci>K_41</ci>
</apply>
</apply>
<apply>
<times/>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<ci>glucose_s</ci>
<ci>K_S</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<divide/>
<apply>
<times/>
<ci>K_23</ci>
<ci>glucose_i</ci>
</apply>
<ci>K_S</ci>
</apply>
<ci>K_14</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
</model>
