- Author:
- Glucose Uptake <nafs080@aucklanduni.ac.nz>
- Date:
- 2017-09-08 10:26:51+12:00
- Desc:
- BG model of GLUT2
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/4c1/rawfile/c0dcec2ce9a2331176d2300d8832a5a911b74689/GLUT.cellml
<?xml version='1.0'?>
<model name="GLUT_BG" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="Units.cellml">
<units name="per_mol" units_ref="per_mol"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="J_per_mol_K" units_ref="J_per_mol_K"/>
<units name="mol_per_s" units_ref="mol_per_s"/>
</import>
<component name="GLUT">
<variable name="t" units="second"/>
<!-- Parameters-->
<variable initial_value="8.324" name="R" units="J_per_mol_K"/>
<variable initial_value="300" name="T" units="kelvin"/>
<variable initial_value="2.3789" name="K_Glu_i" public_interface="out" units="per_mol"/>
<variable initial_value="0.2888" name="K_Glu_o" public_interface="out" units="per_mol"/>
<variable initial_value="3.3843" name="K_E_i" public_interface="out" units="per_mol"/>
<variable initial_value="0.2030" name="K_E_o" public_interface="out" units="per_mol"/>
<variable initial_value="4.2349" name="K_EGlu_i" public_interface="out" units="per_mol"/>
<variable initial_value="0.3435" name="K_EGlu_o" public_interface="out" units="per_mol"/>
<variable initial_value="17046.5083" name="kappa_1" public_interface="out" units="mol_per_s"/>
<variable initial_value="124.2048" name="kappa_2" public_interface="out" units="mol_per_s"/>
<variable initial_value="3.5752" name="kappa_3" public_interface="out" units="mol_per_s"/>
<variable initial_value="262.8136" name="kappa_4" public_interface="out" units="mol_per_s"/>
<!-- State variables-->
<variable initial_value="1.0" name="q_Glu_i" units="mole"/>
<variable initial_value="0.0" name="q_Glu_o" units="mole"/>
<variable initial_value="1.0" name="q_E_i" units="mole"/>
<variable initial_value="0.0" name="q_E_o" units="mole"/>
<variable initial_value="0.0" name="q_EGlu_i" units="mole"/>
<variable initial_value="0.0" name="q_EGlu_o" units="mole"/>
<variable name="upsilon_1" public_interface="out" units="mol_per_s"/>
<variable name="upsilon_2" public_interface="out" units="mol_per_s"/>
<variable name="upsilon_3" public_interface="out" units="mol_per_s"/>
<variable name="upsilon_4" public_interface="out" units="mol_per_s"/>
<!-- Conservation laws-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Glu_o</ci>
</apply>
<ci>upsilon_1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Glu_i</ci>
</apply>
<apply>
<minus/>
<ci>upsilon_2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E_o</ci>
</apply>
<apply>
<minus/>
<ci>upsilon_1</ci>
<ci>upsilon_3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E_i</ci>
</apply>
<apply>
<minus/>
<ci>upsilon_3</ci>
<ci>upsilon_2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_EGlu_o</ci>
</apply>
<apply>
<minus/>
<ci>upsilon_4</ci>
<ci>upsilon_1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_EGlu_i</ci>
</apply>
<apply>
<minus/>
<ci>upsilon_2</ci>
<ci>upsilon_4</ci>
</apply>
</apply>
<!-- Constitutive relations-->
<apply>
<eq/>
<ci>upsilon_1</ci>
<apply>
<times/>
<ci>kappa_1</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_EGlu_o</ci>
<ci>q_EGlu_o</ci>
</apply>
<apply>
<times/>
<ci>K_Glu_o</ci>
<ci>q_Glu_o</ci>
<ci>K_E_o</ci>
<ci>q_E_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>upsilon_2</ci>
<apply>
<times/>
<ci>kappa_2</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_Glu_i</ci>
<ci>q_Glu_i</ci>
<ci>K_E_i</ci>
<ci>q_E_i</ci>
</apply>
<apply>
<times/>
<ci>K_EGlu_i</ci>
<ci>q_EGlu_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>upsilon_3</ci>
<apply>
<times/>
<ci>kappa_3</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_E_o</ci>
<ci>q_E_o</ci>
</apply>
<apply>
<times/>
<ci>K_E_i</ci>
<ci>q_E_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>upsilon_4</ci>
<apply>
<times/>
<ci>kappa_4</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_EGlu_i</ci>
<ci>q_EGlu_i</ci>
</apply>
<apply>
<times/>
<ci>K_EGlu_o</ci>
<ci>q_EGlu_o</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
</model>
