- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2018-08-02 05:37:03+12:00
- Desc:
- fixing diffusion
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/436/rawfile/89cd53399e44e02d8db73780f55d1b1c8b85fe85/BG-original/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_m3" units_ref="mol_per_m3"/>
<units name="mol_per_m3_s" units_ref="mol_per_m3_s"/>
<units name="m3_per_mol" units_ref="m3_per_mol"/>
<units name="J_per_C" units_ref="J_per_C"/>
<units name="J_per_C2" units_ref="J_per_C2"/>
<units name="nC_per_s" units_ref="nC_per_s"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="m3" units_ref="m3"/>
</import>
<component name="SGLT">
<variable initial_value="0.05" name="V_out" public_interface="out" units="J_per_C"/>
<variable initial_value="0.01" name="q_Na_o" public_interface="out" units="mol_per_m3"/>
<variable initial_value="0.5" name="q_Na_i" public_interface="out" units="mol_per_m3"/>
<variable initial_value="0.0" name="q_Glu_o" public_interface="out" units="mol_per_m3"/>
<variable initial_value="0.5" name="q_Glu_i" public_interface="out" units="mol_per_m3"/>
<variable name="q_E" public_interface="out" units="mol_per_m3"/>
<variable name="i_out" public_interface="out" units="nC_per_s"/>
<variable name="v_Re_1" public_interface="in" units="mol_per_m3_s"/>
<variable name="v_Re_2" public_interface="in" units="mol_per_m3_s"/>
<variable name="v_Re_3" public_interface="in" units="mol_per_m3_s"/>
<variable name="v_Re_4" public_interface="in" units="mol_per_m3_s"/>
<variable name="v_Re_5" public_interface="in" units="mol_per_m3_s"/>
<variable name="v_Re_6" public_interface="in" units="mol_per_m3_s"/>
<variable name="v_Re_7" public_interface="in" units="mol_per_m3_s"/>
<variable initial_value="1.0e+11" name="E" public_interface="out" units="J_per_C2"/>
<variable initial_value="500e-18" name="V_c" public_interface="out" units="m3"/>
<variable initial_value="0.3" name="rho_1" units="dimensionless"/>
<variable initial_value="0.7" name="rho_2" units="dimensionless"/>
<variable initial_value="-2" name="z" units="dimensionless"/>
<variable initial_value="96485" name="F" units="C_per_mol"/>
<variable name="t" public_interface="out" units="second"/>
<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_Re_1</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_Re_2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Glu_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Glu_i</ci>
</apply>
<ci>v_Re_4</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>V_out</ci>
</apply>
<apply>
<times/>
<apply>
<minus/>
<ci>V_c</ci>
</apply>
<ci>E</ci>
<ci>z</ci>
<ci>F</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>rho_1</ci>
<cn cellml:units="dimensionless">2</cn>
<ci>v_Re_1</ci>
</apply>
<apply>
<times/>
<ci>rho_2</ci>
<cn cellml:units="dimensionless">2</cn>
<ci>v_Re_5</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_out</ci>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>+9</cn>
<ci>V_out</ci>
</apply>
<ci>E</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_E</ci>
<apply>
<divide/>
<ci>V_out</ci>
<ci>F</ci>
</apply>
</apply>
</math>
</component>
<component name="module">
<variable name="q_E" public_interface="in" units="mol_per_m3"/>
<variable name="q_Na_o" public_interface="in" units="mol_per_m3"/>
<variable name="q_Na_i" public_interface="in" units="mol_per_m3"/>
<variable name="q_Glu_o" public_interface="in" units="mol_per_m3"/>
<variable name="q_Glu_i" public_interface="in" units="mol_per_m3"/>
<variable initial_value="1.0" name="q_E_o" units="mol_per_m3"/>
<variable initial_value="0.0" name="q_E_i" units="mol_per_m3"/>
<variable initial_value="0.0" name="q_E2Na_o" units="mol_per_m3"/>
<variable initial_value="0.0" name="q_E2Na_i" units="mol_per_m3"/>
<variable initial_value="0.0" name="q_E2NaGlu_o" units="mol_per_m3"/>
<variable initial_value="0.0" name="q_E2NaGlu_i" units="mol_per_m3"/>
<variable name="v_Re_1" public_interface="out" units="mol_per_m3_s"/>
<variable name="v_Re_2" public_interface="out" units="mol_per_m3_s"/>
<variable name="v_Re_3" public_interface="out" units="mol_per_m3_s"/>
<variable name="v_Re_4" public_interface="out" units="mol_per_m3_s"/>
<variable name="v_Re_5" public_interface="out" units="mol_per_m3_s"/>
<variable name="v_Re_6" public_interface="out" units="mol_per_m3_s"/>
<variable name="v_Re_7" public_interface="out" units="mol_per_m3_s"/>
<variable initial_value="13.9591" name="K_Na_o" units="m3_per_mol"/>
<variable initial_value="13.9263" name="K_Na_i" units="m3_per_mol"/>
<variable initial_value="10.0777" name="K_Glu_o" units="m3_per_mol"/>
<variable initial_value="10.1247" name="K_Glu_i" units="m3_per_mol"/>
<variable initial_value="40.3317" name="K_E_o" units="m3_per_mol"/>
<variable initial_value="0.3457" name="K_E_i" units="m3_per_mol"/>
<variable initial_value="49.1178" name="K_E2Na_o" units="m3_per_mol"/>
<variable initial_value="0.148991" name="K_E2Na_i" units="m3_per_mol"/>
<variable initial_value="0.0989984" name="K_E2NaGlu_o" units="m3_per_mol"/>
<variable initial_value="0.0989984" name="K_E2NaGlu_i" units="m3_per_mol"/>
<variable initial_value="10.1796" name="K_Re_1" units="mol_per_m3_s"/>
<variable initial_value="67.1184" name="K_Re_2" units="mol_per_m3_s"/>
<variable initial_value="202.023" name="K_Re_3" units="mol_per_m3_s"/>
<variable initial_value="8080.93" name="K_Re_4" units="mol_per_m3_s"/>
<variable initial_value="8.67804" name="K_Re_5" units="mol_per_m3_s"/>
<variable initial_value="0.00610777" name="K_Re_6" units="mol_per_m3_s"/>
<variable initial_value="505.058" name="K_Re_7" units="mol_per_m3_s"/>
<variable initial_value="3.73222e+06" name="K_E" units="m3_per_mol"/>
<variable initial_value="0.3" name="rho_1" units="dimensionless"/>
<variable initial_value="0.7" name="rho_2" units="dimensionless"/>
<variable name="t" public_interface="in" units="second"/>
<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_Re_5</ci>
<ci>v_Re_1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_2</ci>
<ci>v_Re_5</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E2Na_o</ci>
</apply>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_Re_1</ci>
<ci>v_Re_3</ci>
</apply>
<ci>v_Re_6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E2Na_i</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_Re_4</ci>
<ci>v_Re_2</ci>
</apply>
<ci>v_Re_6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E2NaGlu_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_3</ci>
<ci>v_Re_7</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E2NaGlu_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Re_7</ci>
<ci>v_Re_4</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_1</ci>
<apply>
<times/>
<ci>K_Re_1</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>
<times/>
<apply>
<minus/>
<ci>rho_1</ci>
</apply>
<ci>K_E</ci>
<ci>q_E</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>K_E2Na_o</ci>
<ci>q_E2Na_o</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>rho_1</ci>
<ci>K_E</ci>
<ci>q_E</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_2</ci>
<apply>
<times/>
<ci>K_Re_2</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_Re_3</ci>
<apply>
<times/>
<ci>K_Re_3</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_Re_4</ci>
<apply>
<times/>
<ci>K_Re_4</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_Re_5</ci>
<apply>
<times/>
<ci>K_Re_5</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_E_i</ci>
<ci>q_E_i</ci>
<apply>
<exp/>
<apply>
<times/>
<apply>
<minus/>
<ci>rho_2</ci>
</apply>
<ci>K_E</ci>
<ci>q_E</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>K_E_o</ci>
<ci>q_E_o</ci>
<apply>
<exp/>
<apply>
<times/>
<ci>rho_2</ci>
<ci>K_E</ci>
<ci>q_E</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re_6</ci>
<apply>
<times/>
<ci>K_Re_6</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_Re_7</ci>
<apply>
<times/>
<ci>K_Re_7</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>
</math>
</component>
<connection>
<map_components component_1="SGLT" component_2="module"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="q_E" variable_2="q_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_Re_1" variable_2="v_Re_1"/>
<map_variables variable_1="v_Re_2" variable_2="v_Re_2"/>
<map_variables variable_1="v_Re_3" variable_2="v_Re_3"/>
<map_variables variable_1="v_Re_4" variable_2="v_Re_4"/>
<map_variables variable_1="v_Re_5" variable_2="v_Re_5"/>
<map_variables variable_1="v_Re_6" variable_2="v_Re_6"/>
<map_variables variable_1="v_Re_7" variable_2="v_Re_7"/>
</connection>
</model>
