- Author:
- Shelley Fong <s.fong@auckland.ac.nz>
- Date:
- 2022-04-28 11:07:01+12:00
- Desc:
- Updating with Kernik stuff
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/835/rawfile/3027d789e7b520983200af71015fd49f6c3851eb/BG_Ca_leak.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!--Simple mass action reaction for this flux-->
<model name="Ca_leak_model" 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="per_mol" units_ref="per_mol"/>
<units name="J_per_mol" units_ref="J_per_mol"/>
<units name="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
<units name="J_per_C" units_ref="J_per_C"/>
<units name="mol_per_s" units_ref="mol_per_s"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="microm3" units_ref="microm3"/>
<units name="fF" units_ref="fF"/>
<units name="fC" units_ref="fC"/>
<units name="fA" units_ref="fA"/>
<units name="fmol" units_ref="fmol"/>
<units name="fmol_per_sec" units_ref="fmol_per_sec"/>
<units name="per_fmol" units_ref="per_fmol"/>
<units name="pL" units_ref="pL"/>
<units name="mA_per_mM" units_ref="mA_per_mM"/>
</import>
<component name="environment">
<variable name="t" public_interface="out" units="second"/>
<variable initial_value="25.8" name="w_i" public_interface="out" units="pL"/>
<variable name="w_SR" public_interface="out" units="pL"/>
<variable initial_value="8.31" name="R" public_interface="out" units="J_per_K_per_mol"/>
<variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable name="v_leak" public_interface="in" units="fmol_per_sec"/>
<variable initial_value="0.00456" name="q_Ca_i" public_interface="out" units="fmol"/>
<variable initial_value="6.41e-1" name="q_Ca_SR" public_interface="out" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>w_SR</ci>
<apply>
<times/>
<ci>w_i</ci>
<cn cellml:units="dimensionless">0.088235</cn>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_SR</ci>
</apply>
<apply>
<minus/>
<ci>v_leak</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_i</ci>
</apply>
<ci>v_leak</ci>
</apply>
</math>
</component>
<component name="Ca_leak_parameters">
<variable initial_value="0.698143" name="kappa_leak" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.367039" name="K_Ca_SR" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0323856" name="K_Ca_i" public_interface="out" units="per_fmol"/>
</component>
<component name="Ca_leak">
<variable name="t" 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"/>
<variable name="K_Ca_SR" public_interface="in" units="per_fmol"/>
<variable name="K_Ca_i" public_interface="in" units="per_fmol"/>
<variable name="kappa_leak" public_interface="in" units="fmol_per_sec"/>
<variable name="q_Ca_SR" public_interface="in" units="fmol"/>
<variable name="q_Ca_i" public_interface="in" units="fmol"/>
<variable name="mu_Ca_SR" units="J_per_mol"/>
<variable name="mu_Ca_i" units="J_per_mol"/>
<variable name="v_leak" public_interface="out" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_Ca_SR</ci>
<apply>
<times/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ca_SR</ci>
<ci>q_Ca_SR</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Ca_i</ci>
<apply>
<times/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ca_i</ci>
<ci>q_Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_leak</ci>
<apply>
<times/>
<ci>kappa_leak</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_Ca_SR</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>mu_Ca_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="Ca_leak"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="v_leak" variable_2="v_leak"/>
<map_variables variable_1="q_Ca_SR" variable_2="q_Ca_SR"/>
<map_variables variable_1="q_Ca_i" variable_2="q_Ca_i"/>
</connection>
<connection>
<map_components component_1="Ca_leak" component_2="Ca_leak_parameters"/>
<map_variables variable_1="K_Ca_SR" variable_2="K_Ca_SR"/>
<map_variables variable_1="K_Ca_i" variable_2="K_Ca_i"/>
<map_variables variable_1="kappa_leak" variable_2="kappa_leak"/>
</connection>
</model>
