Location: BG_K1_uterine @ 32386e6d968f / BG_K1_uterine.cellml
- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2025-08-14 14:47:50+12:00
- Desc:
- add pics. Rename gating to activation
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/d57/rawfile/32386e6d968ffd6099ef50267e3d7fde9d67dde4/BG_K1_uterine.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="individual_K1_uterine" 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.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_s"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<units name="J_per_C" units_ref="J_per_C"/>
<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="per_second" units_ref="per_second"/>
<units name="millivolt" units_ref="millivolt"/>
<units name="per_sec" units_ref="per_sec"/>
<units name="J_per_K_per_mol" units_ref="J_per_K_mol"/>
<units name="fmol_per_L" units_ref="fmol_per_L"/>
<units name="fmol_per_L_per_sec" units_ref="fmol_per_L_per_sec"/>
<units name="per_sec_per_fmol_per_L" units_ref="per_sec_per_fmol_per_L"/>
<units name="uM" units_ref="uM"/>
<units name="mM_per_sec" units_ref="mM_per_sec"/>
<units name="uM_per_sec" units_ref="uM_per_sec"/>
<units name="pL" units_ref="pL"/>
<units name="m_to_u" units_ref="m_to_u"/>
</import>
<import xlink:href="units_and_constants/constants.cellml">
<component component_ref="constants" name="constants"/>
</import>
<units name="nS_per_pF">
<unit prefix="nano" units="siemens"/>
<unit exponent="-1" prefix="pico" units="farad"/>
</units>
<component name="environment">
<variable name="time" public_interface="out" units="second"/>
<variable initial_value="-381" name="q_mem" public_interface="out" units="fC"/>
<variable initial_value="7070" name="C_m" public_interface="out" units="fF"/>
<!-- initial values-->
<variable initial_value="98" name="q_K_i" public_interface="out" units="fmol"/>
<variable initial_value="127.77" name="q_K_o" public_interface="out" units="fmol"/>
<!-- From submodule-->
<variable name="v_ReK1" public_interface="in" units="fmol_per_sec"/>
<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_ReK1</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q_K_o</ci>
</apply>
<ci>v_ReK1</ci>
</apply>
</math>
</component>
<component name="K1_uterine_parameters">
<variable initial_value="0.00485079" name="kappa_ReK1" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.000493955" name="K_K_i" public_interface="out" units="per_fmol"/>
<variable initial_value="0.00327905" name="K_K_o" public_interface="out" units="per_fmol"/>
</component>
<component name="K1_uterine">
<variable name="time" 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="V_mem" public_interface="out" units="J_per_C"/>
<variable name="C_m" public_interface="in" units="fF"/>
<!-- parameters-->
<variable name="kappa_ReK1" public_interface="in" units="fmol_per_sec"/>
<variable name="K_K_i" public_interface="in" units="per_fmol"/>
<variable name="K_K_o" public_interface="in" units="per_fmol"/>
<!-- Input from global environment-->
<variable name="q_K_i" public_interface="in" units="fmol"/>
<variable name="q_K_o" public_interface="in" units="fmol"/>
<variable name="q_mem" public_interface="in" units="fC"/>
<!-- Constitutive parameters-->
<variable name="mu_K_i" units="J_per_mol"/>
<variable name="mu_K_o" units="J_per_mol"/>
<variable name="v_ReK1" public_interface="out" units="fmol_per_sec"/>
<variable name="Am_ReK1" units="J_per_mol"/>
<variable name="Af_ReK1" units="J_per_mol"/>
<variable name="Ar_ReK1" units="J_per_mol"/>
<variable initial_value="1" name="zK" units="dimensionless"/>
<variable name="q" public_interface="in" units="dimensionless"/>
<variable name="r1" public_interface="in" units="dimensionless"/>
<variable name="r2" public_interface="in" units="dimensionless"/>
<!-- ------------------------------V dep----------------------------------- -->
<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>
<!-- Constitutive relations - Convention: positive flow from inside to outside-->
<apply>
<eq/>
<ci>Am_ReK1</ci>
<apply>
<times/>
<ci>zK</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_ReK1</ci>
<apply>
<plus/>
<ci>mu_K_i</ci>
<ci>Am_ReK1</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_ReK1</ci>
<ci>mu_K_o</ci>
</apply>
<!-- ik1 = gk1*q*q*(0.38{dimensionless}*r1+0.63{dimensionless}*r2)*(V-ek);-->
<apply>
<eq/>
<ci>v_ReK1</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>q</ci>
<ci>q</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.38</cn>
<ci>r1</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.63</cn>
<ci>r2</ci>
</apply>
</apply>
<ci>kappa_ReK1</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_ReK1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_ReK1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_ReK1</ci>
<cn cellml:units="J_per_mol">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>q</ci>
<ci>q</ci>
<apply>
<plus/>
<apply>
<times/>
<cn cellml:units="dimensionless">0.38</cn>
<ci>r1</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">0.63</cn>
<ci>r2</ci>
</apply>
</apply>
<ci>kappa_ReK1</ci>
<ci>Am_ReK1</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Am_ReK1</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_ReK1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_ReK1</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="K1_activation">
<variable name="qss" units="dimensionless"/>
<variable name="rss" units="dimensionless"/>
<variable name="qtc" units="second"/>
<variable name="r1tc" units="second"/>
<variable name="r2tc" units="second"/>
<variable initial_value="0.2060363247740295" name="q" public_interface="out" units="dimensionless"/>
<variable initial_value="0.1922244113609531" name="r1" public_interface="out" units="dimensionless"/>
<variable initial_value="0.1932803618375963" name="r2" public_interface="out" units="dimensionless"/>
<variable name="time" public_interface="in" units="second"/>
<variable name="V_mem" public_interface="in" units="J_per_C"/>
<!-- var gk1: nS_per_pF {init: 0.7};-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>qss</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">0.978613</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>V_mem</ci>
<cn cellml:units="J_per_C">0.0186736</cn>
</apply>
</apply>
<cn cellml:units="J_per_C">0.0266606</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>rss</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V_mem</ci>
<cn cellml:units="J_per_C">0.0630</cn>
</apply>
<cn cellml:units="J_per_C">0.0063</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>qtc</ci>
<apply>
<divide/>
<cn cellml:units="second">0.5</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V_mem</ci>
<cn cellml:units="J_per_C">0.06071</cn>
</apply>
<cn cellml:units="J_per_C">0.01579</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r1tc</ci>
<apply>
<divide/>
<cn cellml:units="second">5</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<power/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V_mem</ci>
<cn cellml:units="J_per_C">0.0627133</cn>
</apply>
<cn cellml:units="J_per_C">0.0358611</cn>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>r2tc</ci>
<apply>
<plus/>
<cn cellml:units="second">30.0</cn>
<apply>
<divide/>
<cn cellml:units="second">220.0</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1.0</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>V_mem</ci>
<cn cellml:units="J_per_C">0.0220</cn>
</apply>
<cn cellml:units="J_per_C">0.0040</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>q</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>qss</ci>
<ci>q</ci>
</apply>
<ci>qtc</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>r1</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>rss</ci>
<ci>r1</ci>
</apply>
<ci>r1tc</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>r2</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>rss</ci>
<ci>r2</ci>
</apply>
<ci>r2tc</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="K1_uterine"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="q_mem" variable_2="q_mem"/>
<map_variables variable_1="C_m" variable_2="C_m"/>
<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="v_ReK1" variable_2="v_ReK1"/>
</connection>
<connection>
<map_components component_1="K1_uterine" component_2="K1_uterine_parameters"/>
<map_variables variable_1="kappa_ReK1" variable_2="kappa_ReK1"/>
<map_variables variable_1="K_K_i" variable_2="K_K_i"/>
<map_variables variable_1="K_K_o" variable_2="K_K_o"/>
</connection>
<connection>
<map_components component_1="constants" component_2="K1_uterine"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="environment" component_2="K1_activation"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="K1_uterine" component_2="K1_activation"/>
<map_variables variable_1="V_mem" variable_2="V_mem"/>
<map_variables variable_1="q" variable_2="q"/>
<map_variables variable_1="r1" variable_2="r1"/>
<map_variables variable_1="r2" variable_2="r2"/>
</connection>
</model>