Location: Na+/Glucose Transporter @ 0979df79b0eb / BG-module / SGLT_module.cellml
- Author:
- Soroush Safaei <Soroush@Soroushs-MacBook-Pro-2.local>
- Date:
- 2017-02-02 08:27:01+13:00
- Desc:
- fix the units
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/436/rawfile/0979df79b0ebd1ae7b451b7ac387abee4ac67c28/BG-module/SGLT_module.cellml
<?xml version='1.0'?>
<model name="StateDiagram" 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="mol_per_s" units_ref="mol_per_s"/>
<units name="per_mol" units_ref="per_mol"/>
<units name="J_per_C" units_ref="J_per_C"/>
<units name="C_per_s" units_ref="C_per_s"/>
<units name="per_C" units_ref="per_C"/>
<units name="J_per_mol_K" units_ref="J_per_mol_K"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
</import>
<component name="SGLT">
<variable name="t" public_interface="out" units="second"/>
<variable initial_value="0.0" name="u_E" public_interface="out" units="J_per_C"/>
<variable initial_value="0.5" name="q_Na_o" public_interface="out" units="mole"/>
<variable initial_value="0.5" name="q_Na_i" public_interface="out" units="mole"/>
<variable initial_value="0.0" name="q_Glu_o" public_interface="out" units="mole"/>
<variable initial_value="0.5" name="q_Glu_i" public_interface="out" units="mole"/>
<variable name="v_Re1" public_interface="in" units="mol_per_s"/>
<variable name="v_Re2" public_interface="in" units="mol_per_s"/>
<variable name="v_Re3" public_interface="in" units="mol_per_s"/>
<variable name="v_Re4" public_interface="in" units="mol_per_s"/>
<variable name="v_Re5" public_interface="in" units="mol_per_s"/>
<variable name="v_Re6" public_interface="in" units="mol_per_s"/>
<variable name="v_Re7" public_interface="in" units="mol_per_s"/>
<variable name="v_TF1" public_interface="in" units="C_per_s"/>
<variable name="v_TF2" public_interface="in" units="C_per_s"/>
<variable initial_value="38.681867648" name="K_E" units="per_C"/>
<variable initial_value="8.314" name="R" units="J_per_mol_K"/>
<variable initial_value="300" name="T" units="kelvin"/>
<variable initial_value="96485" name="F" units="C_per_mol"/>
<variable initial_value="2" name="z" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Na_o</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>v_Re1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Na_i</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>v_Re2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Glu_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Glu_i</ci>
</apply>
<ci>v_Re4</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>u_E</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<ci>F</ci>
</apply>
<ci>K_E</ci>
<apply>
<plus/>
<ci>v_TF1</ci>
<ci>v_TF2</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="module">
<variable name="t" public_interface="in" units="second"/>
<variable initial_value="8.314" name="R" units="J_per_mol_K"/>
<variable initial_value="300" name="T" units="kelvin"/>
<variable initial_value="96485" name="F" units="C_per_mol"/>
<variable initial_value="2" name="z" units="dimensionless"/>
<variable initial_value="0.3" name="rho_1" units="dimensionless"/>
<variable initial_value="0.7" name="rho_2" units="dimensionless"/>
<variable name="u_E" public_interface="in" units="J_per_C"/>
<variable name="q_Na_o" public_interface="in" units="mole"/>
<variable name="q_Na_i" public_interface="in" units="mole"/>
<variable name="q_Glu_o" public_interface="in" units="mole"/>
<variable name="q_Glu_i" public_interface="in" units="mole"/>
<variable initial_value="1.0" name="q_E_o" units="mole"/>
<variable initial_value="0.0" name="q_E_i" units="mole"/>
<variable initial_value="0.0" name="q_E2Na_o" units="mole"/>
<variable initial_value="0.0" name="q_E2Na_i" units="mole"/>
<variable initial_value="0.0" name="q_E2NaGlu_o" units="mole"/>
<variable initial_value="0.0" name="q_E2NaGlu_i" units="mole"/>
<variable name="v_Re1" public_interface="out" units="mol_per_s"/>
<variable name="v_Re2" public_interface="out" units="mol_per_s"/>
<variable name="v_Re3" public_interface="out" units="mol_per_s"/>
<variable name="v_Re4" public_interface="out" units="mol_per_s"/>
<variable name="v_Re5" public_interface="out" units="mol_per_s"/>
<variable name="v_Re6" public_interface="out" units="mol_per_s"/>
<variable name="v_Re7" public_interface="out" units="mol_per_s"/>
<variable name="v_TF1" public_interface="out" units="C_per_s"/>
<variable name="v_TF2" public_interface="out" units="C_per_s"/>
<variable initial_value="13.9591" name="K_Na_o" units="per_mol"/>
<variable initial_value="13.9263" name="K_Na_i" units="per_mol"/>
<variable initial_value="10.0777" name="K_Glu_o" units="per_mol"/>
<variable initial_value="10.1247" name="K_Glu_i" units="per_mol"/>
<variable initial_value="40.3317" name="K_E_o" units="per_mol"/>
<variable initial_value="0.3457" name="K_E_i" units="per_mol"/>
<variable initial_value="49.1178" name="K_E2Na_o" units="per_mol"/>
<variable initial_value="0.148991" name="K_E2Na_i" units="per_mol"/>
<variable initial_value="0.0989984" name="K_E2NaGlu_o" units="per_mol"/>
<variable initial_value="0.0989984" name="K_E2NaGlu_i" units="per_mol"/>
<variable initial_value="10.1796" name="K_Re1" units="mol_per_s"/>
<variable initial_value="67.1184" name="K_Re2" units="mol_per_s"/>
<variable initial_value="202.023" name="K_Re3" units="mol_per_s"/>
<variable initial_value="8080.93" name="K_Re4" units="mol_per_s"/>
<variable initial_value="8.67804" name="K_Re5" units="mol_per_s"/>
<variable initial_value="0.00610777" name="K_Re6" units="mol_per_s"/>
<variable initial_value="505.058" name="K_Re7" units="mol_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re5</ci>
<ci>v_Re1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Re2</ci>
<ci>v_Re5</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E2Na_o</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re1</ci>
<ci>v_Re3</ci>
</apply>
<ci>v_Re6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E2Na_i</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_Re4</ci>
<ci>v_Re2</ci>
</apply>
<ci>v_Re6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E2NaGlu_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re3</ci>
<ci>v_Re7</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E2NaGlu_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Re7</ci>
<ci>v_Re4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re1</ci>
<apply>
<times/>
<ci>K_Re1</ci>
<apply>
<minus/>
<apply>
<times/>
<apply>
<power/>
<apply>
<times/>
<ci>K_Na_o</ci>
<ci>q_Na_o</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>K_E_o</ci>
<ci>q_E_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>rho_1</ci>
</apply>
<ci>z</ci>
<ci>F</ci>
<ci>u_E</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>K_E2Na_o</ci>
<ci>q_E2Na_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>rho_1</ci>
<ci>z</ci>
<ci>F</ci>
<ci>u_E</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re2</ci>
<apply>
<times/>
<ci>K_Re2</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_E2Na_i</ci>
<ci>q_E2Na_i</ci>
</apply>
<apply>
<times/>
<apply>
<power/>
<apply>
<times/>
<ci>K_Na_i</ci>
<ci>q_Na_i</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>K_E_i</ci>
<ci>q_E_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re3</ci>
<apply>
<times/>
<ci>K_Re3</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_Glu_o</ci>
<ci>q_Glu_o</ci>
<ci>K_E2Na_o</ci>
<ci>q_E2Na_o</ci>
</apply>
<apply>
<times/>
<ci>K_E2NaGlu_o</ci>
<ci>q_E2NaGlu_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re4</ci>
<apply>
<times/>
<ci>K_Re4</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_E2NaGlu_i</ci>
<ci>q_E2NaGlu_i</ci>
</apply>
<apply>
<times/>
<ci>K_Glu_i</ci>
<ci>q_Glu_i</ci>
<ci>K_E2Na_i</ci>
<ci>q_E2Na_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re5</ci>
<apply>
<times/>
<ci>K_Re5</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_E_i</ci>
<ci>q_E_i</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>rho_2</ci>
</apply>
<ci>z</ci>
<ci>F</ci>
<ci>u_E</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>K_E_o</ci>
<ci>q_E_o</ci>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<times/>
<ci>rho_2</ci>
<ci>z</ci>
<ci>F</ci>
<ci>u_E</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re6</ci>
<apply>
<times/>
<ci>K_Re6</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_E2Na_o</ci>
<ci>q_E2Na_o</ci>
</apply>
<apply>
<times/>
<ci>K_E2Na_i</ci>
<ci>q_E2Na_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re7</ci>
<apply>
<times/>
<ci>K_Re7</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_E2NaGlu_o</ci>
<ci>q_E2NaGlu_o</ci>
</apply>
<apply>
<times/>
<ci>K_E2NaGlu_i</ci>
<ci>q_E2NaGlu_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_TF1</ci>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
<ci>rho_1</ci>
<ci>v_Re1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_TF2</ci>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
<cn cellml:units="dimensionless">2</cn>
<ci>rho_2</ci>
<ci>v_Re5</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="SGLT" component_2="module"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="u_E" variable_2="u_E"/>
<map_variables variable_1="q_Na_o" variable_2="q_Na_o"/>
<map_variables variable_1="q_Na_i" variable_2="q_Na_i"/>
<map_variables variable_1="q_Glu_o" variable_2="q_Glu_o"/>
<map_variables variable_1="q_Glu_i" variable_2="q_Glu_i"/>
<map_variables variable_1="v_Re1" variable_2="v_Re1"/>
<map_variables variable_1="v_Re2" variable_2="v_Re2"/>
<map_variables variable_1="v_Re3" variable_2="v_Re3"/>
<map_variables variable_1="v_Re4" variable_2="v_Re4"/>
<map_variables variable_1="v_Re5" variable_2="v_Re5"/>
<map_variables variable_1="v_Re6" variable_2="v_Re6"/>
<map_variables variable_1="v_Re7" variable_2="v_Re7"/>
<map_variables variable_1="v_TF1" variable_2="v_TF1"/>
<map_variables variable_1="v_TF2" variable_2="v_TF2"/>
</connection>
</model>