- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2024-11-12 11:24:12+13:00
- Desc:
- Updating cellml and sedml
- Permanent Source URI:
- https://models.cellml.org/workspace/82c/rawfile/f138b490161bff04355a6192db8727af23f79e76/BG_Kr.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- rapid delayed rectifier (potassium) 1, based on Kernik 19
gate variables
Sa: xr_10 xr_20
Sb: xr_11 xr_20
Sc: xr_10 xr_21
Sd: xr_11 xr_21
gate variable transitions
x10: a to b
x11: c to d
x20: a to c
x21: b to d-->
<model name="BG_Kr_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>
<units name="uA_per_uF">
<unit prefix="micro" units="ampere"/>
<unit exponent="-1" prefix="micro" units="farad"/>
</units>
<component name="environment">
<variable name="t" 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="1.598306E-07" name="q_Sa" public_interface="out" units="fmol"/>
<variable initial_value="1.598306E-07" name="q_Sb" public_interface="out" units="fmol"/>
<variable initial_value="1.598306E-07" name="q_Sc" public_interface="out" units="fmol"/>
<variable initial_value="1.598306E-07" name="q_Sd" public_interface="out" units="fmol"/>
<variable initial_value="-13039" name="q_mem" public_interface="out" units="fC"/>
<variable name="Vmem" units="volt"/>
<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_Kr" public_interface="in" units="fmol_per_sec"/>
<variable name="I_mem_Kr" 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_K_i</ci>
</apply>
<apply>
<minus/>
<ci>v_Kr</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_K_o</ci>
</apply>
<ci>v_Kr</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_mem</ci>
</apply>
<apply>
<plus/>
<ci>I_mem_Kr</ci>
<ci>I_stim</ci>
</apply>
</apply>
</math>
<!-- Vmem = q_mem/C_m;-->
<variable name="I_stim" units="fA"/>
<variable initial_value="1" name="stimPeriod" units="second"/>
<variable initial_value="0.0001" name="stimDuration" units="second"/>
<variable name="tPeriod" units="second"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>tPeriod</ci>
<apply>
<minus/>
<ci>t</ci>
<apply>
<times/>
<apply>
<floor/>
<apply>
<divide/>
<ci>t</ci>
<ci>stimPeriod</ci>
</apply>
</apply>
<ci>stimPeriod</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>I_stim</ci>
<piecewise>
<piece>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless">0</cn>
<cn cellml:units="volt">0.075</cn>
<ci>C_m</ci>
</apply>
<ci>stimDuration</ci>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>tPeriod</ci>
<cn cellml:units="second">0.3</cn>
</apply>
<apply>
<leq/>
<ci>tPeriod</ci>
<apply>
<plus/>
<cn cellml:units="second">0.3</cn>
<ci>stimDuration</ci>
</apply>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="fA">0.0</cn>
</otherwise>
</piecewise>
</apply>
</math>
<!-- Vmem = sel
case (t >= 0{second}) and (t < 4{second}):
-0.09{volt};
case (t > 10.1{second}) and (t < 13.1{second}):
-0.06{volt};
case (t > 14.1{second}) and (t < 15.1{second}):
-0.04{volt};
case t > 17.0{second}:
0.09{volt};
otherwise:
-0.08{volt};
endsel;-->
<variable name="i_Kr" units="uA_per_uF"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>i_Kr</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="dimensionless" type="e-notation">1<sep/>-9</cn>
<ci>F</ci>
</apply>
<ci>C_m</ci>
</apply>
<ci>v_Kr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>q_mem</ci>
<apply>
<times/>
<ci>Vmem</ci>
<ci>C_m</ci>
</apply>
</apply>
</math>
<!-- cKi = 1.04748824394112106e+02 mM-->
</component>
<component name="Kr_parameters">
<variable initial_value="175.029" name="kappa_Kr" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.0794844" name="kappa_xr10" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.00212813" name="kappa_xr11" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.267259" name="kappa_xr20" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="2.18134" name="kappa_xr21" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="12.9706" name="K_K_i" public_interface="out" units="per_fmol"/>
<variable initial_value="95.1175" name="K_K_o" public_interface="out" units="per_fmol"/>
<variable initial_value="0.0465841" name="K_Sa_Kr" public_interface="out" units="per_fmol"/>
<variable initial_value="0.00570751" name="K_Sb_Kr" public_interface="out" units="per_fmol"/>
<variable initial_value="1.73989" name="K_Sc_Kr" public_interface="out" units="per_fmol"/>
<variable initial_value="0.213172" name="K_Sd_Kr" public_interface="out" units="per_fmol"/>
<variable initial_value="1" name="zK" public_interface="out" units="dimensionless"/>
<variable initial_value="1.6149028778859738" name="z_xr1_f" public_interface="out" units="dimensionless"/>
<variable initial_value="-1.3218634652232777" name="z_xr1_r" public_interface="out" units="dimensionless"/>
<variable initial_value="-1.0273976425216251" name="z_xr2_f" public_interface="out" units="dimensionless"/>
<variable initial_value="-0.18153135376657775" name="z_xr2_r" public_interface="out" units="dimensionless"/>
</component>
<component name="Kr">
<variable name="t" private_interface="out" 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" private_interface="out" public_interface="in" units="C_per_mol"/>
<variable name="C_m" public_interface="in" units="fF"/>
<!-- Parameters-->
<!-- overall ion permeability (GHK) is kappa_{ion}-->
<variable name="kappa_Kr" public_interface="in" units="fmol_per_sec"/>
<variable name="K_K_o" public_interface="in" units="per_fmol"/>
<variable name="K_K_i" 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_mem" public_interface="in" units="fC"/>
<variable name="v_Kr" public_interface="out" units="fmol_per_sec"/>
<variable name="I_mem_Kr" public_interface="out" units="fA"/>
<variable name="u_K_i" units="J_per_mol"/>
<variable name="u_K_o" units="J_per_mol"/>
<variable name="V_mem" private_interface="out" units="J_per_C"/>
<variable name="Am_Kr" units="J_per_mol"/>
<variable name="Af_Kr" units="J_per_mol"/>
<variable name="Ar_Kr" units="J_per_mol"/>
<variable name="zK" public_interface="in" units="dimensionless"/>
<!-- Conservation laws-->
<!-- Constitutive relations - Convention: positive flow from inside to outside-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Am_Kr</ci>
<apply>
<times/>
<ci>zK</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_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>u_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_Kr</ci>
<apply>
<plus/>
<ci>mu_Sd</ci>
<ci>u_K_i</ci>
<ci>Am_Kr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_Kr</ci>
<apply>
<plus/>
<ci>mu_Sd</ci>
<ci>u_K_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Kr</ci>
<piecewise>
<piece>
<apply>
<times/>
<cn cellml:units="dimensionless">1</cn>
<ci>kappa_Kr</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_Kr</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Kr</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_Kr</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_Kr</ci>
<ci>Am_Kr</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Am_Kr</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_Kr</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Kr</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_Kr</ci>
<apply>
<times/>
<ci>F</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>zK</ci>
</apply>
<ci>v_Kr</ci>
</apply>
<apply>
<times/>
<ci>v_x10</ci>
<apply>
<minus/>
<ci>z_xr1_r</ci>
<ci>z_xr1_f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_x11</ci>
<apply>
<minus/>
<ci>z_xr1_r</ci>
<ci>z_xr1_r</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_x20</ci>
<apply>
<minus/>
<ci>z_xr2_r</ci>
<ci>z_xr2_f</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_x21</ci>
<apply>
<minus/>
<ci>z_xr2_r</ci>
<ci>z_xr2_f</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<!-- GATE
channel states variables
Sa: xr_10 xr_20
Sb: xr_11 xr_20
Sc: xr_10 xr_21
Sd: xr_11 xr_21-->
<variable name="v_Sa" units="fmol_per_sec"/>
<variable name="v_Sb" units="fmol_per_sec"/>
<variable name="v_Sc" units="fmol_per_sec"/>
<variable name="v_Sd" units="fmol_per_sec"/>
<!-- gate variable transitions
x10: a to b
x11: c to d
x20: a to c
x21: b to d-->
<variable name="v_x10" units="fmol_per_sec"/>
<variable name="v_x11" units="fmol_per_sec"/>
<variable name="v_x20" units="fmol_per_sec"/>
<variable name="v_x21" units="fmol_per_sec"/>
<variable name="mu_Sa" units="J_per_mol"/>
<variable name="mu_Sb" units="J_per_mol"/>
<variable name="mu_Sc" units="J_per_mol"/>
<variable name="mu_Sd" units="J_per_mol"/>
<!-- forward/reverse affinities at each reaction-->
<variable name="Af_x10" units="J_per_mol"/>
<variable name="Ar_x10" units="J_per_mol"/>
<variable name="Af_x11" units="J_per_mol"/>
<variable name="Ar_x11" units="J_per_mol"/>
<variable name="Af_x20" units="J_per_mol"/>
<variable name="Ar_x20" units="J_per_mol"/>
<variable name="Af_x21" units="J_per_mol"/>
<variable name="Ar_x21" units="J_per_mol"/>
<!-- gating variables-->
<variable name="kappa_xr10" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_xr11" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_xr20" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_xr21" public_interface="in" units="fmol_per_sec"/>
<variable name="K_Sa_Kr" public_interface="in" units="per_fmol"/>
<variable name="K_Sb_Kr" public_interface="in" units="per_fmol"/>
<variable name="K_Sc_Kr" public_interface="in" units="per_fmol"/>
<variable name="K_Sd_Kr" public_interface="in" units="per_fmol"/>
<variable name="z_xr1_f" public_interface="in" units="dimensionless"/>
<variable name="z_xr1_r" public_interface="in" units="dimensionless"/>
<variable name="z_xr2_f" public_interface="in" units="dimensionless"/>
<variable name="z_xr2_r" public_interface="in" units="dimensionless"/>
<variable name="q_Sa" public_interface="in" units="fmol"/>
<variable name="q_Sb" public_interface="in" units="fmol"/>
<variable name="q_Sc" public_interface="in" units="fmol"/>
<variable name="q_Sd" public_interface="in" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Af_x10</ci>
<apply>
<plus/>
<ci>mu_Sa</ci>
<apply>
<times/>
<ci>z_xr1_f</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_x10</ci>
<apply>
<plus/>
<ci>mu_Sb</ci>
<apply>
<times/>
<ci>z_xr1_r</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_x11</ci>
<apply>
<plus/>
<ci>mu_Sc</ci>
<apply>
<times/>
<ci>z_xr1_f</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_x11</ci>
<apply>
<plus/>
<ci>mu_Sd</ci>
<apply>
<times/>
<ci>z_xr1_r</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_x20</ci>
<apply>
<plus/>
<ci>mu_Sa</ci>
<apply>
<times/>
<ci>z_xr2_f</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_x20</ci>
<apply>
<plus/>
<ci>mu_Sc</ci>
<apply>
<times/>
<ci>z_xr2_r</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_x21</ci>
<apply>
<plus/>
<ci>mu_Sb</ci>
<apply>
<times/>
<ci>z_xr2_f</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_x21</ci>
<apply>
<plus/>
<ci>mu_Sd</ci>
<apply>
<times/>
<ci>z_xr2_r</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_x10</ci>
<apply>
<times/>
<ci>kappa_xr10</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_x10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_x10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_x11</ci>
<apply>
<times/>
<ci>kappa_xr11</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_x11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_x11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_x20</ci>
<apply>
<times/>
<ci>kappa_xr20</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_x20</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_x20</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_x21</ci>
<apply>
<times/>
<ci>kappa_xr21</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_x21</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_x21</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Sa</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_x10</ci>
</apply>
<ci>v_x20</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Sb</ci>
<apply>
<minus/>
<ci>v_x10</ci>
<ci>v_x21</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Sc</ci>
<apply>
<minus/>
<ci>v_x20</ci>
<ci>v_x11</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_Sd</ci>
<apply>
<plus/>
<ci>v_x11</ci>
<ci>v_x21</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Sa</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Sa_Kr</ci>
<ci>q_Sa</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Sb</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Sb_Kr</ci>
<ci>q_Sb</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Sc</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Sc_Kr</ci>
<ci>q_Sc</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_Sd</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Sd_Kr</ci>
<ci>q_Sd</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Sa</ci>
</apply>
<ci>v_Sa</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Sb</ci>
</apply>
<ci>v_Sb</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Sc</ci>
</apply>
<ci>v_Sc</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Sd</ci>
</apply>
<ci>v_Sd</ci>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="Kr"/>
<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="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_Sa" variable_2="q_Sa"/>
<map_variables variable_1="q_Sb" variable_2="q_Sb"/>
<map_variables variable_1="q_Sc" variable_2="q_Sc"/>
<map_variables variable_1="q_Sd" variable_2="q_Sd"/>
<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_Kr" variable_2="v_Kr"/>
<map_variables variable_1="I_mem_Kr" variable_2="I_mem_Kr"/>
</connection>
<connection>
<map_components component_1="Kr" component_2="Kr_parameters"/>
<map_variables variable_1="kappa_Kr" variable_2="kappa_Kr"/>
<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="kappa_xr10" variable_2="kappa_xr10"/>
<map_variables variable_1="kappa_xr11" variable_2="kappa_xr11"/>
<map_variables variable_1="kappa_xr20" variable_2="kappa_xr20"/>
<map_variables variable_1="kappa_xr21" variable_2="kappa_xr21"/>
<map_variables variable_1="K_Sa_Kr" variable_2="K_Sa_Kr"/>
<map_variables variable_1="K_Sb_Kr" variable_2="K_Sb_Kr"/>
<map_variables variable_1="K_Sc_Kr" variable_2="K_Sc_Kr"/>
<map_variables variable_1="K_Sd_Kr" variable_2="K_Sd_Kr"/>
<map_variables variable_1="z_xr1_f" variable_2="z_xr1_f"/>
<map_variables variable_1="z_xr1_r" variable_2="z_xr1_r"/>
<map_variables variable_1="z_xr2_f" variable_2="z_xr2_f"/>
<map_variables variable_1="z_xr2_r" variable_2="z_xr2_r"/>
<map_variables variable_1="zK" variable_2="zK"/>
</connection>
</model>