- Author:
- nima <nafs080@aucklanduni.ac.nz>
- Date:
- 2021-07-01 18:19:07+12:00
- Desc:
- matrix.jpg
- Permanent Source URI:
- https://models.cellml.org/workspace/6b9/rawfile/b49e1dec750a26af22616265fa6fea8a88838afe/AE1-BG-fig2A.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="AE1_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="mol_per_s" units_ref="mol_per_s"/>
</import>
<import xlink:href="Parameters-fig2A(matrix1).cellml">
<component component_ref="param" name="param"/>
</import>
<component name="AE1">
<variable name="t" units="second"/>
<!-- Parameters-->
<variable name="RT" public_interface="in" units="J_per_mol"/>
<variable name="K_Cl_o" public_interface="in" units="per_mol"/>
<variable name="K_Cl_i" public_interface="in" units="per_mol"/>
<variable name="K_HCO3_i" public_interface="in" units="per_mol"/>
<variable name="K_HCO3_o" public_interface="in" units="per_mol"/>
<variable name="K_E_o" public_interface="in" units="per_mol"/>
<variable name="K_ECl_o" public_interface="in" units="per_mol"/>
<variable name="K_ECl_i" public_interface="in" units="per_mol"/>
<variable name="K_E_i" public_interface="in" units="per_mol"/>
<variable name="K_EHCO3_i" public_interface="in" units="per_mol"/>
<variable name="K_EHCO3_o" public_interface="in" units="per_mol"/>
<variable name="K_Re1" public_interface="in" units="mol_per_s"/>
<variable name="K_Re2" public_interface="in" units="mol_per_s"/>
<variable name="K_Re3" public_interface="in" units="mol_per_s"/>
<variable name="K_Re4" public_interface="in" units="mol_per_s"/>
<variable name="K_Re5" public_interface="in" units="mol_per_s"/>
<variable name="K_Re6" public_interface="in" units="mol_per_s"/>
<!-- State variables-->
<variable initial_value="0.0" name="q_Cl_o" units="mole"/>
<variable initial_value="0.0" name="q_Cl_i" units="mole"/>
<variable initial_value="0.05" name="q_HCO3_i" units="mole"/>
<variable initial_value="0.0" name="q_HCO3_o" units="mole"/>
<variable initial_value="0.01738e-3" name="q_E_o" units="mole"/>
<variable initial_value="0.0396e-3" name="q_ECl_o" units="mole"/>
<variable initial_value="0.274e-3" name="q_ECl_i" units="mole"/>
<variable initial_value="0.473e-3" name="q_E_i" units="mole"/>
<variable initial_value="0.0621e-3" name="q_EHCO3_i" units="mole"/>
<variable initial_value="0.00228e-3" name="q_EHCO3_o" 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"/>
<!-- var x: dimensionless {init: 0, pub: out};-->
<!-- ode(x,t) = 1{dimensionless};-->
<!-- Conservation laws-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Cl_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Cl_i</ci>
</apply>
<ci>v_Re3</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_HCO3_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Re4</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_HCO3_o</ci>
</apply>
<ci>v_Re6</ci>
</apply>
<!-- ode(q_Cl_o, t) = 0{M};
ode(q_Cl_i, t) = 0{M};
ode(q_HCO3_i, t) = 0{M};
ode(q_HCO3_o, t) = 0{M};-->
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_E_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re6</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_Re3</ci>
<ci>v_Re4</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_ECl_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re1</ci>
<ci>v_Re2</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_ECl_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Re2</ci>
<ci>v_Re3</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_EHCO3_o</ci>
</apply>
<apply>
<minus/>
<ci>v_Re5</ci>
<ci>v_Re6</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_EHCO3_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Re4</ci>
<ci>v_Re5</ci>
</apply>
</apply>
<!-- Constitutive relations-->
<apply>
<eq/>
<ci>v_Re1</ci>
<apply>
<times/>
<ci>K_Re1</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_Cl_o</ci>
<ci>q_Cl_o</ci>
<ci>K_E_o</ci>
<ci>q_E_o</ci>
</apply>
<apply>
<times/>
<ci>K_ECl_o</ci>
<ci>q_ECl_o</ci>
</apply>
</apply>
<cn cellml:units="M">0.00001</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re2</ci>
<apply>
<times/>
<ci>K_Re2</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_ECl_o</ci>
<ci>q_ECl_o</ci>
</apply>
<apply>
<times/>
<ci>K_ECl_i</ci>
<ci>q_ECl_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re3</ci>
<apply>
<times/>
<ci>K_Re3</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_ECl_i</ci>
<ci>q_ECl_i</ci>
</apply>
<apply>
<times/>
<ci>K_Cl_i</ci>
<ci>q_Cl_i</ci>
<ci>K_E_i</ci>
<ci>q_E_i</ci>
</apply>
</apply>
<cn cellml:units="M">0.00001</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re4</ci>
<apply>
<times/>
<ci>K_Re4</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_HCO3_i</ci>
<ci>q_HCO3_i</ci>
<ci>K_E_i</ci>
<ci>q_E_i</ci>
</apply>
<apply>
<times/>
<ci>K_EHCO3_i</ci>
<ci>q_EHCO3_i</ci>
</apply>
</apply>
<cn cellml:units="M">0.00001</cn>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re5</ci>
<apply>
<times/>
<ci>K_Re5</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_EHCO3_i</ci>
<ci>q_EHCO3_i</ci>
</apply>
<apply>
<times/>
<ci>K_EHCO3_o</ci>
<ci>q_EHCO3_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Re6</ci>
<apply>
<times/>
<ci>K_Re6</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>K_EHCO3_o</ci>
<ci>q_EHCO3_o</ci>
</apply>
<apply>
<times/>
<ci>K_HCO3_o</ci>
<ci>q_HCO3_o</ci>
<ci>K_E_o</ci>
<ci>q_E_o</ci>
</apply>
</apply>
<cn cellml:units="M">0.00001</cn>
</apply>
</apply>
</math>
</component>
<!-- Mapping to the Parameters module-->
<connection>
<map_components component_1="param" component_2="AE1"/>
<map_variables variable_1="RT" variable_2="RT"/>
<map_variables variable_1="K_Cl_o" variable_2="K_Cl_o"/>
<map_variables variable_1="K_Cl_i" variable_2="K_Cl_i"/>
<map_variables variable_1="K_HCO3_i" variable_2="K_HCO3_i"/>
<map_variables variable_1="K_HCO3_o" variable_2="K_HCO3_o"/>
<map_variables variable_1="K_E_o" variable_2="K_E_o"/>
<map_variables variable_1="K_ECl_o" variable_2="K_ECl_o"/>
<map_variables variable_1="K_ECl_i" variable_2="K_ECl_i"/>
<map_variables variable_1="K_E_i" variable_2="K_E_i"/>
<map_variables variable_1="K_EHCO3_i" variable_2="K_EHCO3_i"/>
<map_variables variable_1="K_EHCO3_o" variable_2="K_EHCO3_o"/>
<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"/>
</connection>
</model>
