Location: BG_TCC @ ef16f59ea55f / V_clamp_exp / BG_Vclamp.cellml
- Author:
- Shelley Fong <sfon036@UoA.auckland.ac.nz>
- Date:
- 2024-12-13 14:16:35+13:00
- Desc:
- Updating params to match LRd cell vol
- Permanent Source URI:
- https://staging.physiomeproject.org/workspace/831/rawfile/ef16f59ea55fa2a5373cdc4c4cb63686afd04653/V_clamp_exp/BG_Vclamp.cellml
<?xml version='1.0' encoding='UTF-8'?>
<!-- T-type calcium channel-->
<model name="BG_TCC_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="per_mol" units_ref="per_mol"/>
<units name="J_per_mol" units_ref="J_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="mol_per_s" units_ref="mol_per_s"/>
<units name="C_per_mol" units_ref="C_per_mol"/>
<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="fmol" units_ref="fmol"/>
<units name="fmol_per_sec" units_ref="fmol_per_sec"/>
<units name="per_fmol" units_ref="per_fmol"/>
<units name="pL" units_ref="pL"/>
<units name="mA_per_mM" units_ref="mA_per_mM"/>
</import>
<units name="mV">
<unit prefix="milli" units="volt"/>
</units>
<units name="microA_per_microF">
<unit prefix="micro" units="ampere"/>
<unit exponent="-1" prefix="micro" units="farad"/>
</units>
<units name="milliS_per_microF">
<unit prefix="milli" units="siemens"/>
<unit exponent="-1" prefix="milli" units="farad"/>
</units>
<units name="V_to_mV">
<unit exponent="-1" units="volt"/>
<unit prefix="milli" units="volt"/>
</units>
<units name="per_mV">
<unit exponent="-1" prefix="milli" units="volt"/>
</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="0.04653" name="q_Ca_o" public_interface="out" units="fmol"/>
<variable initial_value="0.000001551" name="q_Ca_i" public_interface="out" units="fmol"/>
<variable name="V_mem" public_interface="out" 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_TCC" public_interface="in" units="fmol_per_sec"/>
<variable name="I_mem_TCC" public_interface="in" units="fA"/>
<variable name="I_TCC_BG" units="fA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_i</ci>
</apply>
<apply>
<minus/>
<ci>v_TCC</ci>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_Ca_o</ci>
</apply>
<ci>v_TCC</ci>
</apply>
</math>
<variable name="q_mem" public_interface="out" units="fC"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_mem</ci>
<piecewise>
<piece>
<apply>
<minus/>
<cn cellml:units="volt">0.09</cn>
</apply>
<apply>
<and/>
<apply>
<geq/>
<ci>t</ci>
<cn cellml:units="second">0</cn>
</apply>
<apply>
<lt/>
<ci>t</ci>
<cn cellml:units="second">4</cn>
</apply>
</apply>
</piece>
<piece>
<apply>
<minus/>
<cn cellml:units="volt">0.06</cn>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>t</ci>
<cn cellml:units="second">10.1</cn>
</apply>
<apply>
<lt/>
<ci>t</ci>
<cn cellml:units="second">13.1</cn>
</apply>
</apply>
</piece>
<piece>
<apply>
<minus/>
<cn cellml:units="volt">0.04</cn>
</apply>
<apply>
<and/>
<apply>
<gt/>
<ci>t</ci>
<cn cellml:units="second">14.1</cn>
</apply>
<apply>
<lt/>
<ci>t</ci>
<cn cellml:units="second">15.1</cn>
</apply>
</apply>
</piece>
<piece>
<apply>
<minus/>
<cn cellml:units="volt">0.09</cn>
</apply>
<apply>
<gt/>
<ci>t</ci>
<cn cellml:units="second">17.0</cn>
</apply>
</piece>
<otherwise>
<apply>
<minus/>
<cn cellml:units="volt">0.08</cn>
</apply>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<ci>q_mem</ci>
<apply>
<times/>
<ci>V_mem</ci>
<ci>C_m</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>I_TCC_BG</ci>
<apply>
<times/>
<ci>F</ci>
<ci>v_TCC</ci>
</apply>
</apply>
</math>
<!-- kinetic-->
<variable initial_value="38" name="vol" units="pL"/>
<variable initial_value="5.18" name="volo" units="pL"/>
<variable name="Cai" public_interface="out" units="mM"/>
<variable name="Cao" public_interface="out" units="mM"/>
<variable name="i_TCC_kinetic" public_interface="in" units="microA_per_microF"/>
<variable name="i_TCC_kinetic_fA" units="fA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Cai</ci>
<apply>
<divide/>
<ci>q_Ca_i</ci>
<ci>vol</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Cao</ci>
<apply>
<divide/>
<ci>q_Ca_o</ci>
<ci>volo</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>i_TCC_kinetic_fA</ci>
<apply>
<times/>
<ci>i_TCC_kinetic</ci>
<ci>C_m</ci>
</apply>
</apply>
</math>
</component>
<component name="TCC_parameters">
<variable initial_value="0.520464" name="kappa_TCC" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="54.3421" name="kappa_b00" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="2.00823" name="kappa_b01" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="147.348" name="kappa_b10" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="5.44529" name="kappa_b11" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.363554" name="kappa_g00" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="1.97154" name="kappa_g10" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="2.6729" name="kappa_g20" public_interface="out" units="fmol_per_sec"/>
<variable initial_value="0.0209718" name="K_Ca_i" public_interface="out" units="per_fmol"/>
<variable initial_value="0.139219" name="K_Ca_o" public_interface="out" units="per_fmol"/>
<variable initial_value="4.87717" name="K_S00_TCC" public_interface="out" units="per_fmol"/>
<variable initial_value="0.899355" name="K_S10_TCC" public_interface="out" units="per_fmol"/>
<variable initial_value="0.663368" name="K_S20_TCC" public_interface="out" units="per_fmol"/>
<variable initial_value="131.975" name="K_S01_TCC" public_interface="out" units="per_fmol"/>
<variable initial_value="24.3362" name="K_S11_TCC" public_interface="out" units="per_fmol"/>
<variable initial_value="17.9505" name="K_S21_TCC" public_interface="out" units="per_fmol"/>
<variable initial_value="0.342985" name="z_bf" public_interface="out" units="dimensionless"/>
<variable initial_value="-0.450091" name="z_gf" public_interface="out" units="dimensionless"/>
<variable initial_value="-0.27751" name="z_br" public_interface="out" units="dimensionless"/>
<variable initial_value="0.375201" name="z_gr" public_interface="out" units="dimensionless"/>
<variable initial_value="2" name="zCa" public_interface="out" units="dimensionless"/>
</component>
<component name="TCC">
<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="zCa" 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_TCC" public_interface="in" units="fmol_per_sec"/>
<variable name="K_Ca_i" public_interface="in" units="per_fmol"/>
<variable name="K_Ca_o" public_interface="in" units="per_fmol"/>
<!-- state variables-->
<variable name="q_Ca_i" public_interface="in" units="fmol"/>
<variable name="q_Ca_o" public_interface="in" units="fmol"/>
<variable name="q_mem" public_interface="in" units="fC"/>
<variable name="v_TCC" public_interface="out" units="fmol_per_sec"/>
<variable name="I_mem_TCC" public_interface="out" units="fA"/>
<variable name="u_Ca_i" units="J_per_mol"/>
<variable name="u_Ca_o" units="J_per_mol"/>
<variable name="V_mem" units="J_per_C"/>
<variable name="Am_TCC" units="J_per_mol"/>
<variable name="Af_Ca" units="J_per_mol"/>
<variable name="Ar_Ca" units="J_per_mol"/>
<!-- Constitutive relations - Convention: positive flow from inside to outside-->
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Am_TCC</ci>
<apply>
<times/>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>u_Ca_i</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ca_i</ci>
<ci>q_Ca_i</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>u_Ca_o</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_Ca_o</ci>
<ci>q_Ca_o</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_Ca</ci>
<apply>
<plus/>
<ci>mu_s21_TCC</ci>
<ci>u_Ca_i</ci>
<ci>Am_TCC</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_Ca</ci>
<apply>
<plus/>
<ci>mu_s21_TCC</ci>
<ci>u_Ca_o</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_TCC</ci>
<piecewise>
<piece>
<apply>
<times/>
<ci>kappa_TCC</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_Ca</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Ca</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Am_TCC</ci>
<cn cellml:units="J_per_mol">0</cn>
</apply>
</piece>
<otherwise>
<apply>
<times/>
<apply>
<divide/>
<apply>
<divide/>
<apply>
<times/>
<ci>kappa_TCC</ci>
<ci>Am_TCC</ci>
</apply>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Am_TCC</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_Ca</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_Ca</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_TCC</ci>
<apply>
<times/>
<ci>F</ci>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>zCa</ci>
</apply>
<ci>v_TCC</ci>
</apply>
<apply>
<times/>
<ci>v_b00</ci>
<apply>
<minus/>
<ci>z_br</ci>
<ci>z_bf</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_b10</ci>
<apply>
<minus/>
<ci>z_br</ci>
<ci>z_bf</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_b01</ci>
<apply>
<minus/>
<ci>z_br</ci>
<ci>z_bf</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_b11</ci>
<apply>
<minus/>
<ci>z_br</ci>
<ci>z_bf</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_g00</ci>
<apply>
<minus/>
<ci>z_gr</ci>
<ci>z_gf</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_g10</ci>
<apply>
<minus/>
<ci>z_gr</ci>
<ci>z_gf</ci>
</apply>
</apply>
<apply>
<times/>
<ci>v_g20</ci>
<apply>
<minus/>
<ci>z_gr</ci>
<ci>z_gf</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</math>
<!-- GATE-->
<variable name="v_s00_TCC" units="fmol_per_sec"/>
<variable name="v_s10_TCC" units="fmol_per_sec"/>
<variable name="v_s20_TCC" units="fmol_per_sec"/>
<variable name="v_s01_TCC" units="fmol_per_sec"/>
<variable name="v_s11_TCC" units="fmol_per_sec"/>
<variable name="v_s21_TCC" units="fmol_per_sec"/>
<variable name="v_b00" units="fmol_per_sec"/>
<variable name="v_b10" units="fmol_per_sec"/>
<variable name="v_b01" units="fmol_per_sec"/>
<variable name="v_b11" units="fmol_per_sec"/>
<variable name="v_g00" units="fmol_per_sec"/>
<variable name="v_g10" units="fmol_per_sec"/>
<variable name="v_g20" units="fmol_per_sec"/>
<variable name="mu_s00_TCC" units="J_per_mol"/>
<variable name="mu_s10_TCC" units="J_per_mol"/>
<variable name="mu_s20_TCC" units="J_per_mol"/>
<variable name="mu_s01_TCC" units="J_per_mol"/>
<variable name="mu_s11_TCC" units="J_per_mol"/>
<variable name="mu_s21_TCC" units="J_per_mol"/>
<variable name="Af_b00" units="J_per_mol"/>
<variable name="Ar_b00" units="J_per_mol"/>
<variable name="Af_b10" units="J_per_mol"/>
<variable name="Ar_b10" units="J_per_mol"/>
<variable name="Af_b01" units="J_per_mol"/>
<variable name="Ar_b01" units="J_per_mol"/>
<variable name="Af_b11" units="J_per_mol"/>
<variable name="Ar_b11" units="J_per_mol"/>
<variable name="Af_g00" units="J_per_mol"/>
<variable name="Ar_g00" units="J_per_mol"/>
<variable name="Af_g10" units="J_per_mol"/>
<variable name="Ar_g10" units="J_per_mol"/>
<variable name="Af_g20" units="J_per_mol"/>
<variable name="Ar_g20" units="J_per_mol"/>
<variable name="kappa_b00" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_b01" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_b10" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_b11" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_g00" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_g10" public_interface="in" units="fmol_per_sec"/>
<variable name="kappa_g20" public_interface="in" units="fmol_per_sec"/>
<variable name="K_S00_TCC" public_interface="in" units="per_fmol"/>
<variable name="K_S10_TCC" public_interface="in" units="per_fmol"/>
<variable name="K_S20_TCC" public_interface="in" units="per_fmol"/>
<variable name="K_S01_TCC" public_interface="in" units="per_fmol"/>
<variable name="K_S11_TCC" public_interface="in" units="per_fmol"/>
<variable name="K_S21_TCC" public_interface="in" units="per_fmol"/>
<variable name="z_bf" public_interface="in" units="dimensionless"/>
<variable name="z_gf" public_interface="in" units="dimensionless"/>
<variable name="z_br" public_interface="in" units="dimensionless"/>
<variable name="z_gr" public_interface="in" units="dimensionless"/>
<variable initial_value="0.999995" name="q_s00_TCC" units="fmol"/>
<variable initial_value="1e-6" name="q_s10_TCC" units="fmol"/>
<variable initial_value="1e-6" name="q_s20_TCC" units="fmol"/>
<variable initial_value="1e-6" name="q_s01_TCC" units="fmol"/>
<variable initial_value="1e-6" name="q_s11_TCC" units="fmol"/>
<variable initial_value="1e-6" name="q_s21_TCC" units="fmol"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>Af_b00</ci>
<apply>
<plus/>
<ci>mu_s00_TCC</ci>
<apply>
<times/>
<ci>z_bf</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_b00</ci>
<apply>
<plus/>
<ci>mu_s10_TCC</ci>
<apply>
<times/>
<ci>z_br</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_b10</ci>
<apply>
<plus/>
<ci>mu_s10_TCC</ci>
<apply>
<times/>
<ci>z_bf</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_b10</ci>
<apply>
<plus/>
<ci>mu_s20_TCC</ci>
<apply>
<times/>
<ci>z_br</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_b01</ci>
<apply>
<plus/>
<ci>mu_s01_TCC</ci>
<apply>
<times/>
<ci>z_bf</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_b01</ci>
<apply>
<plus/>
<ci>mu_s11_TCC</ci>
<apply>
<times/>
<ci>z_br</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_b11</ci>
<apply>
<plus/>
<ci>mu_s11_TCC</ci>
<apply>
<times/>
<ci>z_bf</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_b11</ci>
<apply>
<plus/>
<ci>mu_s21_TCC</ci>
<apply>
<times/>
<ci>z_br</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_g00</ci>
<apply>
<plus/>
<ci>mu_s00_TCC</ci>
<apply>
<times/>
<ci>z_gf</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_g00</ci>
<apply>
<plus/>
<ci>mu_s01_TCC</ci>
<apply>
<times/>
<ci>z_gr</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_g10</ci>
<apply>
<plus/>
<ci>mu_s10_TCC</ci>
<apply>
<times/>
<ci>z_gf</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_g10</ci>
<apply>
<plus/>
<ci>mu_s11_TCC</ci>
<apply>
<times/>
<ci>z_gr</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Af_g20</ci>
<apply>
<plus/>
<ci>mu_s20_TCC</ci>
<apply>
<times/>
<ci>z_gf</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>Ar_g20</ci>
<apply>
<plus/>
<ci>mu_s21_TCC</ci>
<apply>
<times/>
<ci>z_gr</ci>
<ci>F</ci>
<ci>V_mem</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_b00</ci>
<apply>
<times/>
<ci>kappa_b00</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_b00</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_b00</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_b10</ci>
<apply>
<times/>
<ci>kappa_b10</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_b10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_b10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_b01</ci>
<apply>
<times/>
<ci>kappa_b01</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_b01</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_b01</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_b11</ci>
<apply>
<times/>
<ci>kappa_b11</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_b11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_b11</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_g00</ci>
<apply>
<times/>
<ci>kappa_g00</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_g00</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_g00</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_g10</ci>
<apply>
<times/>
<ci>kappa_g10</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_g10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_g10</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_g20</ci>
<apply>
<times/>
<ci>kappa_g20</ci>
<apply>
<minus/>
<apply>
<exp/>
<apply>
<divide/>
<ci>Af_g20</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
<apply>
<exp/>
<apply>
<divide/>
<ci>Ar_g20</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>v_s00_TCC</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_b00</ci>
</apply>
<ci>v_g00</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_s10_TCC</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>v_b00</ci>
<ci>v_b10</ci>
</apply>
<ci>v_g10</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_s20_TCC</ci>
<apply>
<minus/>
<ci>v_b10</ci>
<ci>v_g20</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_s01_TCC</ci>
<apply>
<minus/>
<ci>v_g00</ci>
<ci>v_b01</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_s11_TCC</ci>
<apply>
<plus/>
<apply>
<minus/>
<ci>v_b01</ci>
<ci>v_b11</ci>
</apply>
<ci>v_g10</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>v_s21_TCC</ci>
<apply>
<plus/>
<ci>v_b11</ci>
<ci>v_g20</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_s00_TCC</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_S00_TCC</ci>
<ci>q_s00_TCC</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_s10_TCC</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_S10_TCC</ci>
<ci>q_s10_TCC</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_s20_TCC</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_S20_TCC</ci>
<ci>q_s20_TCC</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_s01_TCC</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_S01_TCC</ci>
<ci>q_s01_TCC</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_s11_TCC</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_S11_TCC</ci>
<ci>q_s11_TCC</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>mu_s21_TCC</ci>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
<apply>
<ln/>
<apply>
<times/>
<ci>K_S21_TCC</ci>
<ci>q_s21_TCC</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_s00_TCC</ci>
</apply>
<ci>v_s00_TCC</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_s10_TCC</ci>
</apply>
<ci>v_s10_TCC</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_s20_TCC</ci>
</apply>
<ci>v_s20_TCC</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_s01_TCC</ci>
</apply>
<ci>v_s01_TCC</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_s11_TCC</ci>
</apply>
<ci>v_s11_TCC</ci>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>q_s21_TCC</ci>
</apply>
<ci>v_s21_TCC</ci>
</apply>
</math>
</component>
<component name="T_type_Ca_channel">
<variable name="i_TCC_kinetic" public_interface="out" units="microA_per_microF"/>
<variable initial_value="0.05" name="g_CaT" units="milliS_per_microF"/>
<variable name="E_Ca" units="mV"/>
<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="t" public_interface="in" units="second"/>
<variable name="V" public_interface="in" units="volt"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="Cao" public_interface="in" units="mM"/>
<variable name="b" private_interface="in" units="dimensionless"/>
<variable name="g" private_interface="in" units="dimensionless"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E_Ca</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<cn cellml:units="V_to_mV" type="e-notation">1<sep/>3</cn>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>Cao</ci>
<ci>Cai</ci>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>i_TCC_kinetic</ci>
<apply>
<times/>
<ci>g_CaT</ci>
<ci>b</ci>
<ci>b</ci>
<ci>g</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="V_to_mV" type="e-notation">1<sep/>3</cn>
<ci>V</ci>
</apply>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel_b_gate">
<variable initial_value="0.000970231" name="b" public_interface="out" units="dimensionless"/>
<variable name="V" public_interface="in" units="volt"/>
<variable name="t" public_interface="in" units="second"/>
<variable name="b_inf" units="dimensionless"/>
<variable name="tau_b" units="second"/>
<variable name="mV" units="mV"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mV</ci>
<apply>
<times/>
<cn cellml:units="V_to_mV" type="e-notation">1<sep/>3</cn>
<ci>V</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>b_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<apply>
<plus/>
<ci>mV</ci>
<cn cellml:units="mV">14</cn>
</apply>
</apply>
<cn cellml:units="mV">10.8</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_b</ci>
<apply>
<plus/>
<cn cellml:units="second">0.0037</cn>
<apply>
<divide/>
<cn cellml:units="second">0.0061</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mV</ci>
<cn cellml:units="mV">25</cn>
</apply>
<cn cellml:units="mV">4.5</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>b</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>b_inf</ci>
<ci>b</ci>
</apply>
<ci>tau_b</ci>
</apply>
</apply>
</math>
</component>
<component name="T_type_Ca_channel_g_gate">
<variable initial_value="0.994305" name="g" public_interface="out" units="dimensionless"/>
<variable name="V" public_interface="in" units="volt"/>
<variable name="t" public_interface="in" units="second"/>
<variable name="g_inf" units="dimensionless"/>
<variable name="tau_g" units="second"/>
<variable name="mV" units="mV"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>mV</ci>
<apply>
<times/>
<cn cellml:units="V_to_mV" type="e-notation">1<sep/>3</cn>
<ci>V</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>g_inf</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<plus/>
<ci>mV</ci>
<cn cellml:units="mV">60</cn>
</apply>
<cn cellml:units="mV">5.6</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>tau_g</ci>
<piecewise>
<piece>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<cn cellml:units="second">0.000875</cn>
</apply>
<ci>mV</ci>
</apply>
<cn cellml:units="second">0.012</cn>
</apply>
<apply>
<leq/>
<ci>mV</ci>
<cn cellml:units="mV">0</cn>
</apply>
</piece>
<otherwise>
<cn cellml:units="second">0.012</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>t</ci>
</bvar>
<ci>g</ci>
</apply>
<apply>
<divide/>
<apply>
<minus/>
<ci>g_inf</ci>
<ci>g</ci>
</apply>
<ci>tau_g</ci>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="environment" component_2="TCC"/>
<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_Ca_i" variable_2="q_Ca_i"/>
<map_variables variable_1="q_Ca_o" variable_2="q_Ca_o"/>
<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_TCC" variable_2="v_TCC"/>
<map_variables variable_1="I_mem_TCC" variable_2="I_mem_TCC"/>
</connection>
<connection>
<map_components component_1="TCC_parameters" component_2="TCC"/>
<map_variables variable_1="kappa_TCC" variable_2="kappa_TCC"/>
<map_variables variable_1="kappa_b00" variable_2="kappa_b00"/>
<map_variables variable_1="kappa_b01" variable_2="kappa_b01"/>
<map_variables variable_1="kappa_b10" variable_2="kappa_b10"/>
<map_variables variable_1="kappa_b11" variable_2="kappa_b11"/>
<map_variables variable_1="kappa_g00" variable_2="kappa_g00"/>
<map_variables variable_1="kappa_g10" variable_2="kappa_g10"/>
<map_variables variable_1="kappa_g20" variable_2="kappa_g20"/>
<map_variables variable_1="K_Ca_i" variable_2="K_Ca_i"/>
<map_variables variable_1="K_Ca_o" variable_2="K_Ca_o"/>
<map_variables variable_1="K_S00_TCC" variable_2="K_S00_TCC"/>
<map_variables variable_1="K_S10_TCC" variable_2="K_S10_TCC"/>
<map_variables variable_1="K_S20_TCC" variable_2="K_S20_TCC"/>
<map_variables variable_1="K_S01_TCC" variable_2="K_S01_TCC"/>
<map_variables variable_1="K_S11_TCC" variable_2="K_S11_TCC"/>
<map_variables variable_1="K_S21_TCC" variable_2="K_S21_TCC"/>
<map_variables variable_1="z_bf" variable_2="z_bf"/>
<map_variables variable_1="z_gf" variable_2="z_gf"/>
<map_variables variable_1="z_br" variable_2="z_br"/>
<map_variables variable_1="z_gr" variable_2="z_gr"/>
<map_variables variable_1="zCa" variable_2="zCa"/>
</connection>
<connection>
<map_components component_1="environment" component_2="T_type_Ca_channel"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="V_mem" variable_2="V"/>
<map_variables variable_1="i_TCC_kinetic" variable_2="i_TCC_kinetic"/>
<map_variables variable_1="Cao" variable_2="Cao"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<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="T_type_Ca_channel" component_2="T_type_Ca_channel_b_gate"/>
<map_variables variable_1="b" variable_2="b"/>
</connection>
<connection>
<map_components component_1="T_type_Ca_channel" component_2="T_type_Ca_channel_g_gate"/>
<map_variables variable_1="g" variable_2="g"/>
</connection>
<connection>
<map_components component_1="environment" component_2="T_type_Ca_channel_b_gate"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="V_mem" variable_2="V"/>
</connection>
<connection>
<map_components component_1="environment" component_2="T_type_Ca_channel_g_gate"/>
<map_variables variable_1="t" variable_2="t"/>
<map_variables variable_1="V_mem" variable_2="V"/>
</connection>
</model>