- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2022-05-23 11:19:21+12:00
- Desc:
- Rename module to AE1_weinstein
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/877/rawfile/a206d03ec1bf5e1ed9cf76132fed775e3d5d0cfc/BG_AE1_weinstein.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="individual_AE1" 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_and_constants/units_BG.cellml">
<units name="mM" units_ref="mM"/>
<units name="fmol" units_ref="fmol"/>
<units name="per_fmol" units_ref="per_fmol"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="fmol_per_sec" units_ref="fmol_per_sec"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="J_per_C" units_ref="J_per_C"/>
<units name="fF" units_ref="fF"/>
<units name="fC" units_ref="fC"/>
<units name="per_second" units_ref="per_second"/>
<units name="per_sec" units_ref="per_sec"/>
<units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
<units name="fmol_per_L" units_ref="fmol_per_L"/>
<units name="fmol_per_L_per_sec" units_ref="fmol_per_L_per_sec"/>
<units name="per_sec_per_fmol_per_L" units_ref="per_sec_per_fmol_per_L"/>
<units name="mM_per_sec" units_ref="mM_per_sec"/>
<units name="pL" units_ref="pL"/>
</import>
<import xlink:href="units_and_constants/constants_BG.cellml">
<component component_ref="constants" name="constants"/>
</import>
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
<!-- initial values - corticomedullary duct cell (Weinstein 2000)-->
<variable initial_value="1238.8" name="q_Cl_i" public_interface="out" units="fmol"/>
<variable initial_value="587.1206" name="q_Cl_o" public_interface="out" units="fmol"/>
<variable initial_value="919.6" name="q_HCO3_i" public_interface="out" units="fmol"/>
<variable initial_value="133.1774" name="q_HCO3_o" public_interface="out" units="fmol"/>
<variable initial_value="1e2" name="q_AE1_i" public_interface="out" units="fmol"/>
<variable initial_value="1e-18" name="q_AE1_o" public_interface="out" units="fmol"/>
<variable initial_value="1e-18" name="q_AE1_Cl_i" public_interface="out" units="fmol"/>
<variable initial_value="1e-18" name="q_AE1_Cl_o" public_interface="out" units="fmol"/>
<variable initial_value="1e-18" name="q_AE1_HCO3_i" public_interface="out" units="fmol"/>
<variable initial_value="1e-18" name="q_AE1_HCO3_o" public_interface="out" units="fmol"/>
<!-- From submodule-->
<variable name="v_1_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="v_2_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="v_3_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="v_4_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="v_5_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="v_6_AE1" public_interface="in" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_Cl_i</ci>
</apply>
<ci>v_3_AE1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_Cl_o</ci>
</apply>
<apply>
<minus/>
<ci>v_1_AE1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_HCO3_i</ci>
</apply>
<apply>
<minus/>
<ci>v_4_AE1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_HCO3_o</ci>
</apply>
<ci>v_6_AE1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_AE1_i</ci>
</apply>
<apply>
<minus/>
<ci>v_3_AE1</ci>
<ci>v_4_AE1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_AE1_o</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_1_AE1</ci>
</apply>
<ci>v_6_AE1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_AE1_Cl_i</ci>
</apply>
<apply>
<minus/>
<ci>v_2_AE1</ci>
<ci>v_3_AE1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_AE1_Cl_o</ci>
</apply>
<apply>
<minus/>
<ci>v_1_AE1</ci>
<ci>v_2_AE1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_AE1_HCO3_i</ci>
</apply>
<apply>
<minus/>
<ci>v_4_AE1</ci>
<ci>v_5_AE1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_AE1_HCO3_o</ci>
</apply>
<apply>
<minus/>
<ci>v_5_AE1</ci>
<ci>v_6_AE1</ci>
</apply>
</apply>
</math>
</component>
<component name="AE1_parameters">
<variable initial_value="8390.34" name="kappa_1_AE1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.0943074" name="kappa_2_AE1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="77301.2" name="kappa_3_AE1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="124606" name="kappa_4_AE1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.0849584" name="kappa_5_AE1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="13489.8" name="kappa_6_AE1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.0724333" name="K_Cl_i" public_interface="out" units="per_fmol"/>
<variable initial_value="1.11255" name="K_Cl_o" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0449352" name="K_HCO3_i" public_interface="out" units="per_fmol"/>
<variable initial_value="0.691978" name="K_HCO3_o" public_interface="out" units="per_fmol"/>
<variable initial_value="0.123683" name="K_AE1_i" public_interface="out" units="per_fmol"/>
<variable initial_value="3.9894" name="K_AE1_o" public_interface="out" units="per_fmol"/>
<variable initial_value="17.0216" name="K_AE1_Cl_i" public_interface="out" units="per_fmol"/>
<variable initial_value="1149.99" name="K_AE1_Cl_o" public_interface="out" units="per_fmol"/>
<variable initial_value="41.8162" name="K_AE1_HCO3_i" public_interface="out" units="per_fmol"/>
<variable initial_value="2832.45" name="K_AE1_HCO3_o" public_interface="out" units="per_fmol"/>
</component>
<component name="AE1">
<variable name="time" public_interface="in" units="second"/>
<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<!-- parameters-->
<variable name="kappa_1_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_2_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_3_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_4_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_5_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_6_AE1" public_interface="in" units="fmol_per_sec"/>
<variable name="K_Cl_i" public_interface="in" units="per_fmol"/>
<variable name="K_Cl_o" public_interface="in" units="per_fmol"/>
<variable name="K_HCO3_i" public_interface="in" units="per_fmol"/>
<variable name="K_HCO3_o" public_interface="in" units="per_fmol"/>
<variable name="K_AE1_i" public_interface="in" units="per_fmol"/>
<variable name="K_AE1_o" public_interface="in" units="per_fmol"/>
<variable name="K_AE1_Cl_i" public_interface="in" units="per_fmol"/>
<variable name="K_AE1_Cl_o" public_interface="in" units="per_fmol"/>
<variable name="K_AE1_HCO3_i" public_interface="in" units="per_fmol"/>
<variable name="K_AE1_HCO3_o" public_interface="in" units="per_fmol"/>
<!-- Input from global environment-->
<variable name="q_Cl_i" public_interface="in" units="fmol"/>
<variable name="q_Cl_o" public_interface="in" units="fmol"/>
<variable name="q_HCO3_i" public_interface="in" units="fmol"/>
<variable name="q_HCO3_o" public_interface="in" units="fmol"/>
<variable name="q_AE1_i" public_interface="in" units="fmol"/>
<variable name="q_AE1_o" public_interface="in" units="fmol"/>
<variable name="q_AE1_Cl_i" public_interface="in" units="fmol"/>
<variable name="q_AE1_Cl_o" public_interface="in" units="fmol"/>
<variable name="q_AE1_HCO3_i" public_interface="in" units="fmol"/>
<variable name="q_AE1_HCO3_o" public_interface="in" units="fmol"/>
<!-- Constitutive parameters-->
<variable name="mu_Cl_i" units="J_per_mol"/>
<variable name="mu_Cl_o" units="J_per_mol"/>
<variable name="mu_HCO3_i" units="J_per_mol"/>
<variable name="mu_HCO3_o" units="J_per_mol"/>
<variable name="mu_AE1_i" units="J_per_mol"/>
<variable name="mu_AE1_o" units="J_per_mol"/>
<variable name="mu_AE1_Cl_i" units="J_per_mol"/>
<variable name="mu_AE1_Cl_o" units="J_per_mol"/>
<variable name="mu_AE1_HCO3_i" units="J_per_mol"/>
<variable name="mu_AE1_HCO3_o" units="J_per_mol"/>
<variable name="v_1_AE1" public_interface="out" units="fmol_per_sec"/>
<variable name="v_2_AE1" public_interface="out" units="fmol_per_sec"/>
<variable name="v_3_AE1" public_interface="out" units="fmol_per_sec"/>
<variable name="v_4_AE1" public_interface="out" units="fmol_per_sec"/>
<variable name="v_5_AE1" public_interface="out" units="fmol_per_sec"/>
<variable name="v_6_AE1" public_interface="out" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_Cl_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Cl_i</ci>
<ci>q_Cl_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Cl_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Cl_o</ci>
<ci>q_Cl_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_HCO3_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_HCO3_i</ci>
<ci>q_HCO3_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_HCO3_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_HCO3_o</ci>
<ci>q_HCO3_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_AE1_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_AE1_i</ci>
<ci>q_AE1_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_AE1_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_AE1_o</ci>
<ci>q_AE1_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_AE1_Cl_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_AE1_Cl_i</ci>
<ci>q_AE1_Cl_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_AE1_Cl_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_AE1_Cl_o</ci>
<ci>q_AE1_Cl_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_AE1_HCO3_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_AE1_HCO3_i</ci>
<ci>q_AE1_HCO3_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_AE1_HCO3_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_AE1_HCO3_o</ci>
<ci>q_AE1_HCO3_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_1_AE1</ci>
<apply>
<times/>
<ci>kappa_1_AE1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_Cl_o</ci>
<ci>mu_AE1_o</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_AE1_Cl_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_2_AE1</ci>
<apply>
<times/>
<ci>kappa_2_AE1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_AE1_Cl_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_AE1_Cl_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_3_AE1</ci>
<apply>
<times/>
<ci>kappa_3_AE1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_AE1_Cl_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_AE1_i</ci>
<ci>mu_Cl_i</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_4_AE1</ci>
<apply>
<times/>
<ci>kappa_4_AE1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_HCO3_i</ci>
<ci>mu_AE1_i</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_AE1_HCO3_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_5_AE1</ci>
<apply>
<times/>
<ci>kappa_5_AE1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_AE1_HCO3_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_AE1_HCO3_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_6_AE1</ci>
<apply>
<times/>
<ci>kappa_6_AE1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_AE1_HCO3_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mu_AE1_o</ci>
<ci>mu_HCO3_o</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="AE1"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="q_Cl_i" variable_2="q_Cl_i"/>
<map_variables variable_1="q_Cl_o" variable_2="q_Cl_o"/>
<map_variables variable_1="q_HCO3_i" variable_2="q_HCO3_i"/>
<map_variables variable_1="q_HCO3_o" variable_2="q_HCO3_o"/>
<map_variables variable_1="q_AE1_i" variable_2="q_AE1_i"/>
<map_variables variable_1="q_AE1_o" variable_2="q_AE1_o"/>
<map_variables variable_1="q_AE1_Cl_i" variable_2="q_AE1_Cl_i"/>
<map_variables variable_1="q_AE1_Cl_o" variable_2="q_AE1_Cl_o"/>
<map_variables variable_1="q_AE1_HCO3_i" variable_2="q_AE1_HCO3_i"/>
<map_variables variable_1="q_AE1_HCO3_o" variable_2="q_AE1_HCO3_o"/>
<map_variables variable_1="v_1_AE1" variable_2="v_1_AE1"/>
<map_variables variable_1="v_2_AE1" variable_2="v_2_AE1"/>
<map_variables variable_1="v_3_AE1" variable_2="v_3_AE1"/>
<map_variables variable_1="v_4_AE1" variable_2="v_4_AE1"/>
<map_variables variable_1="v_5_AE1" variable_2="v_5_AE1"/>
<map_variables variable_1="v_6_AE1" variable_2="v_6_AE1"/>
</connection>
<connection>
<map_components component_1="AE1" component_2="AE1_parameters"/>
<map_variables variable_1="kappa_1_AE1" variable_2="kappa_1_AE1"/>
<map_variables variable_1="kappa_2_AE1" variable_2="kappa_2_AE1"/>
<map_variables variable_1="kappa_3_AE1" variable_2="kappa_3_AE1"/>
<map_variables variable_1="kappa_4_AE1" variable_2="kappa_4_AE1"/>
<map_variables variable_1="kappa_5_AE1" variable_2="kappa_5_AE1"/>
<map_variables variable_1="kappa_6_AE1" variable_2="kappa_6_AE1"/>
<map_variables variable_1="K_Cl_i" variable_2="K_Cl_i"/>
<map_variables variable_1="K_Cl_o" variable_2="K_Cl_o"/>
<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_AE1_i" variable_2="K_AE1_i"/>
<map_variables variable_1="K_AE1_o" variable_2="K_AE1_o"/>
<map_variables variable_1="K_AE1_Cl_i" variable_2="K_AE1_Cl_i"/>
<map_variables variable_1="K_AE1_Cl_o" variable_2="K_AE1_Cl_o"/>
<map_variables variable_1="K_AE1_HCO3_i" variable_2="K_AE1_HCO3_i"/>
<map_variables variable_1="K_AE1_HCO3_o" variable_2="K_AE1_HCO3_o"/>
</connection>
<connection>
<map_components component_1="constants" component_2="AE1"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
</connection>
</model>
