Location: BG_K1 @ 6fc31f67b692 / BG_K1.cellml
- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2022-07-06 16:27:35+12:00
- Desc:
- Updating to LRd 34.4 pL cell parameters
- Permanent Source URI:
- http://models.cellml.org/workspace/824/rawfile/6fc31f67b69226933e396f8e794cb7c1626d7ce5/BG_K1.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_K1_only" 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="J_per_K_per_mol" units_ref="J_per_K_per_mol"/>
<units name="fF" units_ref="fF"/>
<units name="fC" units_ref="fC"/>
<units name="fA" units_ref="fA"/>
</import>
<component name="environment">
<variable initial_value="0" name="t" public_interface="out" units="second"/>
<variable initial_value="8.314" name="R" public_interface="out" units="J_per_K_per_mol"/>
<variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="96485" name="F" public_interface="out" units="C_per_mol"/>
<variable initial_value="153400" name="C_m" public_interface="out" units="fF"/>
<variable initial_value="27.9828" name="q_K_o" public_interface="out" units="fmol"/>
<variable initial_value="5510" name="q_K_i" public_interface="out" units="fmol"/>
<variable initial_value="8.1182E-07" name="q_C_K1" public_interface="out" units="fmol"/>
<variable initial_value="2.02948E-07" name="q_O_K1" public_interface="out" units="fmol"/>
<variable name="v_K1" public_interface="in" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_K_o</ci>
</apply>
<ci>v_K1</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_K_i</ci>
</apply>
<apply>
<minus/>
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</apply>
</apply>
</math>
<variable initial_value="-13039" name="q_mem" public_interface="out" units="fC"/>
<variable name="I_mem_K1" public_interface="in" units="fA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
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<ci>t</ci>
</bvar>
<ci>q_mem</ci>
</apply>
<ci>I_mem_K1</ci>
</apply>
</math>
</component>
<component name="K1_parameters">
<variable initial_value="1.329" name="K_C_K1" public_interface="out" units="per_fmol"/>
<variable initial_value="0.059344" name="K_K_o" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0080926" name="K_K_i" public_interface="out" units="per_fmol"/>
<variable initial_value="15967.3543" name="K_O_K1" public_interface="out" units="per_fmol"/>
<variable initial_value="25.0154" name="kappa_K1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="848.2812" name="kappa_gK1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.5" name="nK" public_interface="out" units="dimensionless"/>
<variable initial_value="1" name="zK" public_interface="out" units="dimensionless"/>
<variable initial_value="0.033569" name="z_fK1" public_interface="out" units="dimensionless"/>
<variable initial_value="3.1153" name="z_rK1" public_interface="out" units="dimensionless"/>
</component>
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<variable name="R" public_interface="in" units="J_per_K_per_mol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="C_m" public_interface="in" units="fF"/>
<variable name="K_C_K1" public_interface="in" units="per_fmol"/>
<variable name="K_K_o" public_interface="in" units="per_fmol"/>
<variable name="K_K_i" public_interface="in" units="per_fmol"/>
<variable name="K_O_K1" public_interface="in" units="per_fmol"/>
<variable name="kappa_K1" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_gK1" public_interface="in" units="fmol_per_sec"/>
<variable name="nK" public_interface="in" units="dimensionless"/>
<variable name="zK" public_interface="in" units="dimensionless"/>
<variable name="z_fK1" public_interface="in" units="dimensionless"/>
<variable name="z_rK1" public_interface="in" units="dimensionless"/>
<variable name="q_K_o" public_interface="in" units="fmol"/>
<variable name="q_K_i" public_interface="in" units="fmol"/>
<variable name="q_C_K1" public_interface="in" units="fmol"/>
<variable name="q_O_K1" public_interface="in" units="fmol"/>
<variable name="q_mem" public_interface="in" units="fC"/>
<variable name="mu_K_o" units="J_per_mol"/>
<variable name="mu_K_i" units="J_per_mol"/>
<variable name="mu_C_K1" units="J_per_mol"/>
<variable name="mu_O_K1" units="J_per_mol"/>
<variable name="v_C_K1" units="fmol_per_sec"/>
<variable name="v_O_K1" units="fmol_per_sec"/>
<variable name="Am_K1" units="J_per_mol"/>
<variable name="Af_K1" units="J_per_mol"/>
<variable name="Ar_K1" units="J_per_mol"/>
<variable name="v_K1" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_gK1" units="J_per_mol"/>
<variable name="Ar_gK1" units="J_per_mol"/>
<variable name="v_gK1" units="fmol_per_sec"/>
<variable name="V_mem" units="volt"/>
<variable name="I_mem_K1" public_interface="out" units="fA"/>
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<divide/>
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<eq/>
<ci>mu_C_K1</ci>
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<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
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<times/>
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<times/>
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<ln/>
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<times/>
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<apply>
<eq/>
<ci>mu_O_K1</ci>
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<times/>
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<ln/>
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<eq/>
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<minus/>
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<exp/>
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<divide/>
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<times/>
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<exp/>
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<divide/>
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<eq/>
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<plus/>
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<eq/>
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<plus/>
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<times/>
<ci>R</ci>
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<ln/>
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<times/>
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<apply>
<eq/>
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<times/>
<ci>zK</ci>
<ci>F</ci>
<ci>V_mem</ci>
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<eq/>
<ci>Ar_K1</ci>
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<plus/>
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<times/>
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<eq/>
<ci>Ar_gK1</ci>
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<plus/>
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<ln/>
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<eq/>
<ci>I_mem_K1</ci>
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<times/>
<ci>F</ci>
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<minus/>
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<plus/>
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<times/>
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<minus/>
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<times/>
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<minus/>
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<eq/>
<ci>v_O_K1</ci>
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<minus/>
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<minus/>
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<ci>v_K1</ci>
</apply>
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<eq/>
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<diff/>
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<apply>
<eq/>
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<diff/>
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<ci>t</ci>
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<eq/>
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<minus/>
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<divide/>
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<times/>
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<divide/>
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<times/>
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</apply>
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<eq/>
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<times/>
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<divide/>
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<times/>
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<minus/>
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<exp/>
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<divide/>
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<times/>
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<minus/>
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<divide/>
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<times/>
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</apply>
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<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_K1</ci>
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<times/>
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</apply>
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</apply>
</apply>
</apply>
</otherwise>
</piecewise>
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</math>
</component>
<connection>
<map_components component_1="K1" component_2="K1_parameters"/>
<map_variables variable_1="K_C_K1" variable_2="K_C_K1"/>
<map_variables variable_1="K_K_o" variable_2="K_K_o"/>
<map_variables variable_1="K_K_i" variable_2="K_K_i"/>
<map_variables variable_1="K_O_K1" variable_2="K_O_K1"/>
<map_variables variable_1="kappa_K1" variable_2="kappa_K1"/>
<map_variables variable_1="kappa_gK1" variable_2="kappa_gK1"/>
<map_variables variable_1="nK" variable_2="nK"/>
<map_variables variable_1="zK" variable_2="zK"/>
<map_variables variable_1="z_fK1" variable_2="z_fK1"/>
<map_variables variable_1="z_rK1" variable_2="z_rK1"/>
</connection>
<connection>
<map_components component_1="K1" component_2="environment"/>
<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="F" variable_2="F"/>
<map_variables variable_1="C_m" variable_2="C_m"/>
<map_variables variable_1="q_K_o" variable_2="q_K_o"/>
<map_variables variable_1="q_K_i" variable_2="q_K_i"/>
<map_variables variable_1="q_C_K1" variable_2="q_C_K1"/>
<map_variables variable_1="q_O_K1" variable_2="q_O_K1"/>
<map_variables variable_1="v_K1" variable_2="v_K1"/>
<map_variables variable_1="q_mem" variable_2="q_mem"/>
<map_variables variable_1="I_mem_K1" variable_2="I_mem_K1"/>
</connection>
</model>