- Author:
- Soroush Safaei <ssaf006@aucklanduni.ac.nz>
- Date:
- 2017-02-02 18:46:58+13:00
- Desc:
- minor changes
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/436/rawfile/bbbb6e73443973c6bc23dd8074521a8ed392d175/BG/SGLT_BG.cellml
<?xml version='1.0'?>
<model name="SGLT_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"/>
<units name="per_C" units_ref="per_C"/>
<units name="J_per_C" units_ref="J_per_C"/>
<units name="C_per_s" units_ref="C_per_s"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
</import>
<import xlink:href="StateDiagram.cellml">
<component component_ref="state" name="state"/>
</import>
<import xlink:href="Parameters.cellml">
<component component_ref="param" name="param"/>
</import>
<component name="module">
<variable name="time" private_interface="out" units="second"/>
<!-- State variables-->
<variable initial_value="0.01" name="q_0_Na_o" private_interface="out" units="mole"/>
<variable name="q_0_Na_i" private_interface="out" units="mole"/>
<variable initial_value="1e-06" name="q_0_Glu_o" private_interface="out" units="mole"/>
<variable name="q_0_Glu_i" private_interface="out" units="mole"/>
<variable initial_value="1.0" name="q_0_E_o" private_interface="out" units="mole"/>
<variable initial_value="0.0" name="q_0_E_i" private_interface="out" units="mole"/>
<variable initial_value="0.0" name="q_0_E2Na_o" private_interface="out" units="mole"/>
<variable initial_value="0.0" name="q_0_E2Na_i" private_interface="out" units="mole"/>
<variable initial_value="0.0" name="q_0_E2NaGlu_o" private_interface="out" units="mole"/>
<variable initial_value="0.0" name="q_0_E2NaGlu_i" private_interface="out" units="mole"/>
<variable name="q_0_E" private_interface="out" units="mole"/>
<variable name="q_Na_o" private_interface="in" units="mole"/>
<variable name="q_Na_i" private_interface="in" units="mole"/>
<variable name="q_Glu_o" private_interface="in" units="mole"/>
<variable name="q_Glu_i" private_interface="in" units="mole"/>
<variable name="q_E_o" private_interface="in" units="mole"/>
<variable name="q_E_i" private_interface="in" units="mole"/>
<variable name="q_E2Na_o" private_interface="in" units="mole"/>
<variable name="q_E2Na_i" private_interface="in" units="mole"/>
<variable name="q_E2NaGlu_o" private_interface="in" units="mole"/>
<variable name="q_E2NaGlu_i" private_interface="in" units="mole"/>
<variable name="q_E" private_interface="in" units="mole"/>
<variable name="v_Re1" private_interface="in" units="mol_per_s"/>
<variable name="v_Re2" private_interface="in" units="mol_per_s"/>
<variable name="v_Re3" private_interface="in" units="mol_per_s"/>
<variable name="v_Re4" private_interface="in" units="mol_per_s"/>
<variable name="v_Re5" private_interface="in" units="mol_per_s"/>
<variable name="v_Re6" private_interface="in" units="mol_per_s"/>
<variable name="v_Re7" private_interface="in" units="mol_per_s"/>
<variable name="u_Na_o" private_interface="in" units="J_per_mol"/>
<variable name="u_Na_i" private_interface="in" units="J_per_mol"/>
<variable name="u_Glu_o" private_interface="in" units="J_per_mol"/>
<variable name="u_Glu_i" private_interface="in" units="J_per_mol"/>
<variable name="u_E_o" private_interface="in" units="J_per_mol"/>
<variable name="u_E_i" private_interface="in" units="J_per_mol"/>
<variable name="u_E2Na_o" private_interface="in" units="J_per_mol"/>
<variable name="u_E2Na_i" private_interface="in" units="J_per_mol"/>
<variable name="u_E2NaGlu_o" private_interface="in" units="J_per_mol"/>
<variable name="u_E2NaGlu_i" private_interface="in" units="J_per_mol"/>
<variable name="u11" private_interface="in" units="J_per_mol"/>
<variable name="u12" private_interface="in" units="J_per_mol"/>
<variable name="u13" private_interface="in" units="J_per_mol"/>
<variable name="u14" private_interface="in" units="J_per_mol"/>
<variable name="u15" private_interface="in" units="J_per_mol"/>
<variable name="u16" private_interface="in" units="J_per_mol"/>
<variable name="u17" private_interface="in" units="J_per_mol"/>
<variable name="u_E" private_interface="in" units="J_per_C"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>q_0_Glu_i</ci>
<piecewise>
<piece>
<apply>
<plus/>
<cn cellml:units="mole" type="e-notation">1<sep/>-6</cn>
<apply>
<times/>
<cn cellml:units="mol_per_s">0.05</cn>
<apply>
<minus/>
<ci>time</ci>
<cn cellml:units="second">1</cn>
</apply>
</apply>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>time</ci>
<cn cellml:units="second">1</cn>
</apply>
<apply>
<leq/>
<ci>time</ci>
<cn cellml:units="second">11</cn>
</apply>
</apply>
</piece>
<piece>
<cn cellml:units="mole">0.1</cn>
<apply>
<gt/>
<ci>time</ci>
<cn cellml:units="second">11</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="mole" type="e-notation">1<sep/>-6</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>q_0_E</ci>
<piecewise>
<piece>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="mol_per_s" type="e-notation">1.5546<sep/>-07</cn>
</apply>
<apply>
<minus/>
<cn cellml:units="second">4</cn>
</apply>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>time</ci>
<cn cellml:units="second">11</cn>
</apply>
<apply>
<leq/>
<ci>time</ci>
<cn cellml:units="second">12</cn>
</apply>
</apply>
</piece>
<piece>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="mol_per_s" type="e-notation">1.5546<sep/>-07</cn>
</apply>
<apply>
<minus/>
<ci>time</ci>
<cn cellml:units="second">16</cn>
</apply>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>time</ci>
<cn cellml:units="second">12</cn>
</apply>
<apply>
<leq/>
<ci>time</ci>
<cn cellml:units="second">28</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="mole">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>q_0_Na_i</ci>
<piecewise>
<piece>
<apply>
<minus/>
<cn cellml:units="mole">0.5</cn>
<apply>
<times/>
<cn cellml:units="mol_per_s">0.05</cn>
<apply>
<minus/>
<ci>time</ci>
<cn cellml:units="second">30</cn>
</apply>
</apply>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>time</ci>
<cn cellml:units="second">30</cn>
</apply>
<apply>
<lt/>
<ci>time</ci>
<cn cellml:units="second">40</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="mole">0.5</cn>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<!-- Mapping to the BG state diagram-->
<connection>
<map_components component_1="module" component_2="state"/>
<map_variables variable_1="time" variable_2="t"/>
<map_variables variable_1="q_0_Na_o" variable_2="q1_init"/>
<map_variables variable_1="q_0_Na_i" variable_2="q2_init"/>
<map_variables variable_1="q_0_Glu_o" variable_2="q3_init"/>
<map_variables variable_1="q_0_Glu_i" variable_2="q4_init"/>
<map_variables variable_1="q_0_E_o" variable_2="q5_init"/>
<map_variables variable_1="q_0_E_i" variable_2="q6_init"/>
<map_variables variable_1="q_0_E2Na_o" variable_2="q7_init"/>
<map_variables variable_1="q_0_E2Na_i" variable_2="q8_init"/>
<map_variables variable_1="q_0_E2NaGlu_o" variable_2="q9_init"/>
<map_variables variable_1="q_0_E2NaGlu_i" variable_2="q10_init"/>
<map_variables variable_1="q_0_E" variable_2="q_E_init"/>
<map_variables variable_1="q_Na_o" variable_2="q1"/>
<map_variables variable_1="q_Na_i" variable_2="q2"/>
<map_variables variable_1="q_Glu_o" variable_2="q3"/>
<map_variables variable_1="q_Glu_i" variable_2="q4"/>
<map_variables variable_1="q_E_o" variable_2="q5"/>
<map_variables variable_1="q_E_i" variable_2="q6"/>
<map_variables variable_1="q_E2Na_o" variable_2="q7"/>
<map_variables variable_1="q_E2Na_i" variable_2="q8"/>
<map_variables variable_1="q_E2NaGlu_o" variable_2="q9"/>
<map_variables variable_1="q_E2NaGlu_i" variable_2="q10"/>
<map_variables variable_1="q_E" variable_2="q_E"/>
<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="u_Na_o" variable_2="u1"/>
<map_variables variable_1="u_Na_i" variable_2="u2"/>
<map_variables variable_1="u_Glu_o" variable_2="u3"/>
<map_variables variable_1="u_Glu_i" variable_2="u4"/>
<map_variables variable_1="u_E_o" variable_2="u5"/>
<map_variables variable_1="u_E_i" variable_2="u6"/>
<map_variables variable_1="u_E2Na_o" variable_2="u7"/>
<map_variables variable_1="u_E2Na_i" variable_2="u8"/>
<map_variables variable_1="u_E2NaGlu_o" variable_2="u9"/>
<map_variables variable_1="u_E2NaGlu_i" variable_2="u10"/>
<map_variables variable_1="u11" variable_2="u11"/>
<map_variables variable_1="u12" variable_2="u12"/>
<map_variables variable_1="u13" variable_2="u13"/>
<map_variables variable_1="u14" variable_2="u14"/>
<map_variables variable_1="u15" variable_2="u15"/>
<map_variables variable_1="u16" variable_2="u16"/>
<map_variables variable_1="u17" variable_2="u17"/>
<map_variables variable_1="u_E" variable_2="u_E"/>
</connection>
<!-- Mapping to the Parameters module-->
<connection>
<map_components component_1="param" component_2="state"/>
<map_variables variable_1="K_Na_o" variable_2="K_q1"/>
<map_variables variable_1="K_Na_i" variable_2="K_q2"/>
<map_variables variable_1="K_Glu_o" variable_2="K_q3"/>
<map_variables variable_1="K_Glu_i" variable_2="K_q4"/>
<map_variables variable_1="K_E_o" variable_2="K_q5"/>
<map_variables variable_1="K_E_i" variable_2="K_q6"/>
<map_variables variable_1="K_E2Na_o" variable_2="K_q7"/>
<map_variables variable_1="K_E2Na_i" variable_2="K_q8"/>
<map_variables variable_1="K_E2NaGlu_o" variable_2="K_q9"/>
<map_variables variable_1="K_E2NaGlu_i" variable_2="K_q10"/>
<map_variables variable_1="K_E" variable_2="K_E"/>
<map_variables variable_1="K_Re1" variable_2="K_Re1"/>
<map_variables variable_1="K_Re2" variable_2="K_Re2"/>
<map_variables variable_1="K_Re3" variable_2="K_Re3"/>
<map_variables variable_1="K_Re4" variable_2="K_Re4"/>
<map_variables variable_1="K_Re5" variable_2="K_Re5"/>
<map_variables variable_1="K_Re6" variable_2="K_Re6"/>
<map_variables variable_1="K_Re7" variable_2="K_Re7"/>
</connection>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="module">
<component_ref component="state"/>
<component_ref component="param"/>
</component_ref>
</group>
</model>
