Location: Funny current channel knowledge page @ 9c87e21742ee / BG_funny.cellml
- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2024-08-05 11:27:06+12:00
- Desc:
- Adding cellml files
- Permanent Source URI:
- https://models.fieldml.org/workspace/b8b/rawfile/9c87e21742ee3c1b185aa0150e50aa2f533def1e/BG_funny.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="funnycurrent_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="fmol" units_ref="fmol"/>
<units name="per_fmol" units_ref="per_fmol"/>
<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="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="fF" units_ref="fF"/>
<units name="fC" units_ref="fC"/>
<units name="fA" units_ref="fA"/>
</import>
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
<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="9.3276" name="q_Na_o" public_interface="out" units="fmol"/>
<variable initial_value="0.00456" name="q_Na_i" public_interface="out" units="fmol"/>
<variable initial_value="5.4799070E-06" name="q_x0_funny" public_interface="out" units="fmol"/>
<variable initial_value="5.4799070E-06" name="q_x1_funny" public_interface="out" units="fmol"/>
<variable initial_value="-8.5e4" name="q_mem" public_interface="out" units="fC"/>
<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 initial_value="96500" name="F" public_interface="out" units="C_per_mol"/>
<variable name="v_funny_K" public_interface="in" units="fmol_per_sec"/>
<variable name="v_funny_Na" public_interface="in" units="fmol_per_sec"/>
<variable name="I_mem_funny" public_interface="in" units="fA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_K_i</ci>
</apply>
<apply>
<minus/>
<ci>v_funny_K</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_K_o</ci>
</apply>
<ci>v_funny_K</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_Na_i</ci>
</apply>
<apply>
<minus/>
<ci>v_funny_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_Na_o</ci>
</apply>
<ci>v_funny_Na</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_mem</ci>
</apply>
<ci>I_mem_funny</ci>
</apply>
</math>
</component>
<component name="funny_parameters">
<variable initial_value="45.0247" name="kappa_funny_Na" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="91.4974" name="kappa_funny_K" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.188833" name="kappa_R_xf" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.80864" name="K_Na_i" public_interface="out" units="per_fmol"/>
<variable initial_value="13.2633" name="K_Na_o" public_interface="out" units="per_fmol"/>
<variable initial_value="2.57828" name="K_K_i" public_interface="out" units="per_fmol"/>
<variable initial_value="18.9074" name="K_K_o" public_interface="out" units="per_fmol"/>
<variable initial_value="0.00306604" name="K_x0_funny" public_interface="out" units="per_fmol"/>
<variable initial_value="61.5887" name="K_x1_funny" public_interface="out" units="per_fmol"/>
<variable initial_value="1" name="zNa" public_interface="out" units="dimensionless"/>
<variable initial_value="1" name="zK" public_interface="out" units="dimensionless"/>
<variable initial_value="-1.8309039" name="z_xff" public_interface="out" units="dimensionless"/>
<variable initial_value="0.787348905" name="z_xfr" public_interface="out" units="dimensionless"/>
</component>
<component name="funny">
<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="zNa" public_interface="in" units="dimensionless"/>
<variable name="zK" public_interface="in" units="dimensionless"/>
<variable name="F" public_interface="in" units="C_per_mol"/>
<variable name="C_m" public_interface="in" units="fF"/>
<variable name="kappa_funny_Na" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_funny_K" public_interface="in" units="fmol_per_sec"/>
<variable name="K_Na_i" public_interface="in" units="per_fmol"/>
<variable name="K_Na_o" public_interface="in" units="per_fmol"/>
<variable name="K_K_i" public_interface="in" units="per_fmol"/>
<variable name="K_K_o" public_interface="in" units="per_fmol"/>
<!-- state variables-->
<variable name="q_K_i" public_interface="in" units="fmol"/>
<variable name="q_K_o" public_interface="in" units="fmol"/>
<variable name="q_Na_i" public_interface="in" units="fmol"/>
<variable name="q_Na_o" public_interface="in" units="fmol"/>
<variable name="q_mem" public_interface="in" units="fC"/>
<variable name="v_funny_K" public_interface="out" units="fmol_per_sec"/>
<variable name="v_funny_Na" public_interface="out" units="fmol_per_sec"/>
<variable name="I_mem_funny" public_interface="out" units="fA"/>
<variable name="mu_K_i" units="J_per_mol"/>
<variable name="mu_K_o" units="J_per_mol"/>
<variable name="mu_Na_i" units="J_per_mol"/>
<variable name="mu_Na_o" units="J_per_mol"/>
<variable name="V_mem" units="J_per_C"/>
<variable name="Am_Na" units="J_per_mol"/>
<variable name="Am_K" units="J_per_mol"/>
<variable name="Af_K" units="J_per_mol"/>
<variable name="Ar_K" units="J_per_mol"/>
<variable name="Af_Na" units="J_per_mol"/>
<variable name="Ar_Na" units="J_per_mol"/>
<!-- Convention: positive flow from inside to outside-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Am_K</ci>
<apply>
<times/>
<ci>zK</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_Na</ci>
<apply>
<times/>
<ci>zNa</ci>
<ci>F</ci>
<ci>V_mem</ci>
</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_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>Af_K</ci>
<apply>
<plus/>
<ci>mu_x1_funny</ci>
<ci>mu_K_i</ci>
<ci>Am_K</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_K</ci>
<apply>
<plus/>
<ci>mu_x1_funny</ci>
<ci>mu_K_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Na_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_i</ci>
<ci>q_Na_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Na_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Na_o</ci>
<ci>q_Na_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_Na</ci>
<apply>
<plus/>
<ci>mu_x1_funny</ci>
<ci>mu_Na_i</ci>
<ci>Am_Na</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_Na</ci>
<apply>
<plus/>
<ci>mu_x1_funny</ci>
<ci>mu_Na_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_funny_K</ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>kappa_funny_K</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_K</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_K</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_K</ci>
<cn cellml:units="J_per_mol">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>kappa_funny_K</ci>
<ci>Am_K</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Am_K</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_K</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_K</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>v_funny_Na</ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>kappa_funny_Na</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_Na</ci>
<cn cellml:units="J_per_mol">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>kappa_funny_Na</ci>
<ci>Am_Na</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Am_Na</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_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Na</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>V_mem</ci>
<apply>
<divide/>
<ci>q_mem</ci>
<ci>C_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_mem_funny</ci>
<apply>
<times/>
<ci>F</ci>
<apply>
<minus/>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>zK</ci>
</apply>
<ci>v_funny_K</ci>
</apply>
<apply>
<times/>
<ci>zNa</ci>
<ci>v_funny_Na</ci>
</apply>
<apply>
<times/>
<ci>z_xfr</ci>
<ci>v_xf</ci>
</apply>
</apply>
<apply>
<times/>
<ci>z_xff</ci>
<ci>v_xf</ci>
</apply>
</apply>
</apply>
</apply>
</math>
<!-- GATE
x0 state = closed
x1_state = open-->
<variable name="q_x0_funny" public_interface="in" units="fmol"/>
<variable name="q_x1_funny" public_interface="in" units="fmol"/>
<variable name="kappa_R_xf" public_interface="in" units="fmol_per_sec"/>
<variable name="K_x0_funny" public_interface="in" units="per_fmol"/>
<variable name="K_x1_funny" public_interface="in" units="per_fmol"/>
<variable name="mu_x0_funny" units="J_per_mol"/>
<variable name="mu_x1_funny" units="J_per_mol"/>
<variable name="Af_R_xf" units="J_per_mol"/>
<variable name="Ar_R_xf" units="J_per_mol"/>
<variable name="z_xff" public_interface="in" units="dimensionless"/>
<variable name="z_xfr" public_interface="in" units="dimensionless"/>
<variable name="v_xf" units="fmol_per_sec"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mu_x0_funny</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_x0_funny</ci>
<ci>q_x0_funny</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_x1_funny</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_x1_funny</ci>
<ci>q_x1_funny</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_R_xf</ci>
<apply>
<plus/>
<ci>mu_x0_funny</ci>
<apply>
<times/>
<ci>z_xff</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_R_xf</ci>
<apply>
<plus/>
<ci>mu_x1_funny</ci>
<apply>
<times/>
<ci>z_xfr</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_xf</ci>
<apply>
<times/>
<ci>kappa_R_xf</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_R_xf</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_R_xf</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_x0_funny</ci>
</apply>
<apply>
<minus/>
<ci>v_xf</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_x1_funny</ci>
</apply>
<ci>v_xf</ci>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="funny"/>
<map_variables variable_1="time" 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="q_K_i" variable_2="q_K_i"/>
<map_variables variable_1="q_K_o" variable_2="q_K_o"/>
<map_variables variable_1="q_Na_i" variable_2="q_Na_i"/>
<map_variables variable_1="q_Na_o" variable_2="q_Na_o"/>
<map_variables variable_1="q_x0_funny" variable_2="q_x0_funny"/>
<map_variables variable_1="q_x1_funny" variable_2="q_x1_funny"/>
<map_variables variable_1="q_mem" variable_2="q_mem"/>
<map_variables variable_1="C_m" variable_2="C_m"/>
<map_variables variable_1="v_funny_K" variable_2="v_funny_K"/>
<map_variables variable_1="v_funny_Na" variable_2="v_funny_Na"/>
<map_variables variable_1="I_mem_funny" variable_2="I_mem_funny"/>
</connection>
<connection>
<map_components component_1="funny" component_2="funny_parameters"/>
<map_variables variable_1="kappa_funny_Na" variable_2="kappa_funny_Na"/>
<map_variables variable_1="kappa_funny_K" variable_2="kappa_funny_K"/>
<map_variables variable_1="kappa_R_xf" variable_2="kappa_R_xf"/>
<map_variables variable_1="K_Na_i" variable_2="K_Na_i"/>
<map_variables variable_1="K_Na_o" variable_2="K_Na_o"/>
<map_variables variable_1="K_K_i" variable_2="K_K_i"/>
<map_variables variable_1="K_K_o" variable_2="K_K_o"/>
<map_variables variable_1="K_x0_funny" variable_2="K_x0_funny"/>
<map_variables variable_1="K_x1_funny" variable_2="K_x1_funny"/>
<map_variables variable_1="z_xff" variable_2="z_xff"/>
<map_variables variable_1="z_xfr" variable_2="z_xfr"/>
<map_variables variable_1="zNa" variable_2="zNa"/>
<map_variables variable_1="zK" variable_2="zK"/>
</connection>
</model>