- Author:
- WeiweiAi <wai484@aucklanduni.ac.nz>
- Date:
- 2022-05-16 13:04:54+12:00
- Desc:
- Add a merge script and update accordingly
- Permanent Source URI:
- https://models.fieldml.org/workspace/6bc/rawfile/0f94d0bdf02afd16ebe8651a92628c98334ddb1f/BG/channelX_BG.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- The BG describes the current (ionic flux) through the ion channel-->
<model name="channelX_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_BG.cellml">
<units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="fmol_per_sec" units_ref="fmol_per_sec"/>
</import>
<import xlink:href="constants_BG.cellml">
<component component_ref="constants_BG" name="constants_BG"/>
</import>
<component name="channelX_BG">
<!--Parameters-->
<variable name="R" private_interface="in" units="J_per_K_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="kappa_X" public_interface="in" units="fmol_per_sec"/>
<variable name="z_X" public_interface="in" units="dimensionless"/>
<!--Inputs-->
<variable name="mu_p" public_interface="in" units="J_per_mol"/>
<variable name="mu_i_X" public_interface="in" units="J_per_mol"/>
<variable name="mu_e_X" public_interface="in" units="J_per_mol"/>
<variable name="A_g_X" public_interface="in" units="J_per_mol"/>
<!--Outputs-->
<variable name="v_p_X" public_interface="out" units="fmol_per_sec"/>
<variable name="v_i_X" public_interface="out" units="fmol_per_sec"/>
<variable name="v_e_X" public_interface="out" units="fmol_per_sec"/>
<!--Intermediate variables-->
<variable name="A_f" units="J_per_mol"/>
<variable name="A_r" units="J_per_mol"/>
<variable name="mu_V" units="J_per_mol"/>
<variable name="v_X" units="fmol_per_sec"/>
<!-- Constitutive relation of the TF:z_X, Re_GHK:X-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_V</ci>
<apply>
<times/>
<ci>z_X</ci>
<ci>mu_p</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_p_X</ci>
<apply>
<times/>
<ci>z_X</ci>
<ci>v_X</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_X</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>kappa_X</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_V</ci>
<cn cellml:units="J_per_mol">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>kappa_X</ci>
<ci>mu_V</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_V</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<cn cellml:units="dimensionless">1</cn>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_f</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>A_r</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<!--Conservation laws-->
<apply>
<eq/>
<ci>A_f</ci>
<apply>
<plus/>
<ci>A_g_X</ci>
<ci>mu_i_X</ci>
<ci>mu_V</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>A_r</ci>
<apply>
<plus/>
<ci>A_g_X</ci>
<ci>mu_e_X</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_i_X</ci>
<apply>
<minus/>
<ci>v_X</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_e_X</ci>
<ci>v_X</ci>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="channelX_BG">
<component_ref component="constants_BG"/>
</component_ref>
</group>
<connection>
<map_components component_1="channelX_BG" component_2="constants_BG"/>
<map_variables variable_1="R" variable_2="R"/>
</connection>
</model>