Location: BG_Kp @ f86e45f47461 / BG_Kp.cellml
- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2022-07-06 16:27:56+12:00
- Desc:
- Updating to LRd 34.4 pL cell parameters
- Permanent Source URI:
- https://models.physiomeproject.org/workspace/825/rawfile/f86e45f47461c4bb70c6ac74406847292787ae7e/BG_Kp.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="cardiac_AP_Kp_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="1.3813E-07" name="q_C_Kp" public_interface="out" units="fmol"/>
<variable initial_value="3.45317E-08" name="q_O_Kp" public_interface="out" units="fmol"/>
<variable name="v_Kp" 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_Kp</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_K_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Kp</ci>
</apply>
</apply>
</math>
<variable initial_value="-13039" name="q_mem" public_interface="out" units="fC"/>
<variable name="I_mem_Kp" public_interface="in" units="fA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_mem</ci>
</apply>
<ci>I_mem_Kp</ci>
</apply>
</math>
</component>
<component name="Kp_parameters">
<variable initial_value="41.6265" name="K_C_Kp" 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="145.607" name="K_O_Kp" public_interface="out" units="per_fmol"/>
<variable initial_value="252.3419" name="kappa_Kp" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="24.0195" name="kappa_gKp" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1" name="zK" public_interface="out" units="dimensionless"/>
<variable initial_value="0" name="z_f_Kp" public_interface="out" units="dimensionless"/>
<variable initial_value="-4.4669" name="z_r_Kp" public_interface="out" units="dimensionless"/>
</component>
<component name="Kp">
<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="F" public_interface="in" units="C_per_mol"/>
<variable name="C_m" public_interface="in" units="fF"/>
<variable name="K_C_Kp" 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_Kp" public_interface="in" units="per_fmol"/>
<variable name="kappa_Kp" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_gKp" public_interface="in" units="fmol_per_sec"/>
<variable name="zK" public_interface="in" units="dimensionless"/>
<variable name="z_f_Kp" public_interface="in" units="dimensionless"/>
<variable name="z_r_Kp" 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_Kp" public_interface="in" units="fmol"/>
<variable name="q_O_Kp" 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_Kp" units="J_per_mol"/>
<variable name="mu_O_Kp" units="J_per_mol"/>
<variable name="Am_Kp" units="J_per_mol"/>
<variable name="Af_Kp" units="J_per_mol"/>
<variable name="Ar_Kp" units="J_per_mol"/>
<variable name="v_Kp" public_interface="out" units="fmol_per_sec"/>
<variable name="Af_gKp" units="J_per_mol"/>
<variable name="Ar_gKp" units="J_per_mol"/>
<variable name="v_gKp" units="fmol_per_sec"/>
<variable name="v_C_Kp" units="fmol_per_sec"/>
<variable name="v_O_Kp" units="fmol_per_sec"/>
<variable name="V_mem" units="volt"/>
<variable name="I_mem_Kp" public_interface="out" units="fA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_mem</ci>
<apply>
<divide/>
<ci>q_mem</ci>
<ci>C_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_mem_Kp</ci>
<apply>
<times/>
<ci>F</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>zK</ci>
</apply>
<ci>v_Kp</ci>
</apply>
<apply>
<times/>
<ci>z_r_Kp</ci>
<ci>v_gKp</ci>
</apply>
</apply>
<apply>
<times/>
<ci>z_f_Kp</ci>
<ci>v_gKp</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_C_Kp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_C_Kp</ci>
<ci>q_C_Kp</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_K_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_K_o</ci>
<ci>q_K_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_K_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_K_i</ci>
<ci>q_K_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_O_Kp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_O_Kp</ci>
<ci>q_O_Kp</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_gKp</ci>
<apply>
<times/>
<ci>kappa_gKp</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_gKp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_gKp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_Kp</ci>
<apply>
<plus/>
<ci>mu_K_i</ci>
<apply>
<times/>
<ci>zK</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
<ci>mu_O_Kp</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_gKp</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_C_Kp</ci>
<ci>q_C_Kp</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_f_Kp</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_Kp</ci>
<apply>
<times/>
<ci>zK</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_Kp</ci>
<apply>
<plus/>
<ci>mu_K_o</ci>
<ci>mu_O_Kp</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_gKp</ci>
<apply>
<plus/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_O_Kp</ci>
<ci>q_O_Kp</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>z_r_Kp</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_C_Kp</ci>
<apply>
<minus/>
<ci>v_gKp</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_O_Kp</ci>
<apply>
<minus/>
<ci>v_gKp</ci>
<apply>
<minus/>
<ci>v_Kp</ci>
<ci>v_Kp</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_C_Kp</ci>
</apply>
<ci>v_C_Kp</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_O_Kp</ci>
</apply>
<ci>v_O_Kp</ci>
</apply>
<apply>
<eq/>
<ci>v_Kp</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>kappa_Kp</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_Kp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Kp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_Kp</ci>
<cn cellml:units="J_per_mol">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>kappa_Kp</ci>
<ci>Am_Kp</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Am_Kp</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>Af_Kp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Kp</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<connection>
<map_components component_1="Kp" component_2="Kp_parameters"/>
<map_variables variable_1="K_C_Kp" variable_2="K_C_Kp"/>
<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_Kp" variable_2="K_O_Kp"/>
<map_variables variable_1="kappa_Kp" variable_2="kappa_Kp"/>
<map_variables variable_1="kappa_gKp" variable_2="kappa_gKp"/>
<map_variables variable_1="zK" variable_2="zK"/>
<map_variables variable_1="z_f_Kp" variable_2="z_f_Kp"/>
<map_variables variable_1="z_r_Kp" variable_2="z_r_Kp"/>
</connection>
<connection>
<map_components component_1="Kp" 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_Kp" variable_2="q_C_Kp"/>
<map_variables variable_1="q_O_Kp" variable_2="q_O_Kp"/>
<map_variables variable_1="v_Kp" variable_2="v_Kp"/>
<map_variables variable_1="q_mem" variable_2="q_mem"/>
<map_variables variable_1="I_mem_Kp" variable_2="I_mem_Kp"/>
</connection>
</model>