- Author:
- leyla <noroozbabaee@gmail.com>
- Date:
- 2021-06-28 20:13:23+12:00
- Desc:
- Conversion of the Epithelial Modules From Python to CellML
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/6b4/rawfile/74195ac8689f1c97c4ebffbce80647281475f5a6/KCl_Weinstein/components/KCL.cellml
<?xml version='1.0'?>
<model cmeta:id="KCl_model" name="KCl_model" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:xlink="http://www.w3.org/1999/xlink">
<import xlink:href="../general/Units_for_EpithelialCell.cellml">
<units name="millivolt" units_ref="millivolt"/>
<units name="per_second" units_ref="per_second"/>
<units name="coulomb_per_mole" units_ref="coulomb_per_mole"/>
<units name="joule_per_millimole" units_ref="joule_per_millimole"/>
<units name="molar" units_ref="molar"/>
<units name="millimole2_per_joulesecond" units_ref="millimole2_per_joulesecond"/>
<units name="millimole_per_second" units_ref="millimole_per_second"/>
<units name="joule_per_coulombmillivolt" units_ref="joule_per_coulombmillivolt"/>
</import>
<import xlink:href="../general/Generator.cellml">
<component component_ref="experiment" name="experiment"/>
</import>
<connection>
<map_components component_1="experiment" component_2="Weinstein_KCl"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="K_I" variable_2="K_I"/>
<map_variables variable_1="Cl_I" variable_2="Cl_I"/>
<map_variables variable_1="Vi" variable_2="Vi"/>
</connection>
<component cmeta:id="Weinstein_KCl" name="Weinstein_KCl">
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="K_I" private_interface="in" public_interface="out" units="molar"/>
<variable name="Cl_I" private_interface="in" public_interface="out" units="molar"/>
<variable name="Vs" private_interface="none" public_interface="in" units="millivolt"/>
<variable name="Vi" private_interface="in" public_interface="out" units="millivolt"/>
<variable name="K_KCl_Flux" private_interface="out" public_interface="out" units="millimole_per_second"/>
<variable name="Cl_KCl_Flux" private_interface="out" public_interface="out" units="millimole_per_second"/>
<variable name="F" private_interface="none" public_interface="in" units="coulomb_per_mole"/>
<variable name="K_S" private_interface="out" public_interface="in" units="molar"/>
<variable name="Cl_S" private_interface="out" public_interface="in" units="molar"/>
<variable name="zk" private_interface="none" public_interface="in" units="dimensionless"/>
<variable name="zcl" private_interface="none" public_interface="in" units="dimensionless"/>
<variable name="L_kcl" private_interface="none" public_interface="in" units="millimole2_per_joulesecond"/>
<variable name="Ais" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="rte" private_interface="none" public_interface="in" units="joule_per_millimole"/>
<variable name="mu_K_S" private_interface="out" public_interface="out" units="joule_per_millimole"/>
<variable name="mu_Cl_S" private_interface="out" public_interface="out" units="joule_per_millimole"/>
<variable name="mu_K_I" private_interface="out" public_interface="out" units="joule_per_millimole"/>
<variable name="mu_Cl_I" private_interface="out" public_interface="out" units="joule_per_millimole"/>
<variable name="delta_mu_K" private_interface="out" public_interface="out" units="joule_per_millimole"/>
<variable name="delta_mu_Cl" private_interface="out" public_interface="out" units="joule_per_millimole"/>
<variable initial_value="0.0" name="m" public_interface="out" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_K_S</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>rte</ci>
<apply>
<ln/>
<ci>K_S</ci>
</apply>
</apply>
<apply>
<times/>
<ci>zk</ci>
<ci>F</ci>
<ci>Vs</ci>
<cn cellml:units="joule_per_coulombmillivolt">1</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<minus/>
<cn cellml:units="dimensionless">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_K_I</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>rte</ci>
<apply>
<ln/>
<ci>K_I</ci>
</apply>
</apply>
<apply>
<times/>
<ci>zk</ci>
<ci>F</ci>
<ci>Vi</ci>
<cn cellml:units="joule_per_coulombmillivolt">1</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<minus/>
<cn cellml:units="dimensionless">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Cl_S</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>rte</ci>
<apply>
<ln/>
<ci>Cl_S</ci>
</apply>
</apply>
<apply>
<times/>
<ci>zcl</ci>
<ci>F</ci>
<ci>Vs</ci>
<cn cellml:units="joule_per_coulombmillivolt">1</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<minus/>
<cn cellml:units="dimensionless">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Cl_I</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>rte</ci>
<apply>
<ln/>
<ci>Cl_I</ci>
</apply>
</apply>
<apply>
<times/>
<ci>zcl</ci>
<ci>F</ci>
<ci>Vi</ci>
<cn cellml:units="joule_per_coulombmillivolt">1</cn>
<apply>
<power/>
<cn cellml:units="dimensionless">10.0</cn>
<apply>
<minus/>
<cn cellml:units="dimensionless">6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_mu_K</ci>
<apply>
<minus/>
<ci>mu_K_I</ci>
<ci>mu_K_S</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>delta_mu_Cl</ci>
<apply>
<minus/>
<ci>mu_Cl_I</ci>
<ci>mu_Cl_S</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>K_KCl_Flux</ci>
<apply>
<times/>
<ci>L_kcl</ci>
<ci>Ais</ci>
<apply>
<plus/>
<ci>delta_mu_K</ci>
<ci>delta_mu_Cl</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Cl_KCl_Flux</ci>
<apply>
<times/>
<ci>L_kcl</ci>
<ci>Ais</ci>
<apply>
<plus/>
<ci>delta_mu_K</ci>
<ci>delta_mu_Cl</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>m</ci>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="Weinstein_KCl">
<component_ref component="experiment"/>
</component_ref>
</group>
</model>