- Author:
- aram148 <42922407+aram148@users.noreply.github.com>
- Date:
- 2022-07-22 15:47:05+12:00
- Desc:
- Added documentation for VSM model
- Permanent Source URI:
- https://models.cellml.org/workspace/6b0/rawfile/a8a92308e217ac5626809237dd90a31240b22834/USMC/Vm_stim_experiment_Exported.cellml
<?xml version='1.0' encoding='UTF-8'?>
<model name="Vm_stim_experiment" xmlns="http://www.cellml.org/cellml/1.0#" xmlns:cellml="http://www.cellml.org/cellml/1.0#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#">
<units name="ms">
<unit prefix="milli" units="second"/>
</units>
<units name="per_ms">
<unit exponent="-1" units="ms"/>
</units>
<units name="per_s">
<unit exponent="-1" units="second"/>
</units>
<units name="mV">
<unit prefix="milli" units="volt"/>
</units>
<units name="per_mV">
<unit exponent="-1" units="mV"/>
</units>
<units name="mV_per_ms">
<unit units="mV"/>
<unit exponent="-1" units="ms"/>
</units>
<units name="mV_per_s">
<unit units="mV"/>
<unit exponent="-1" units="second"/>
</units>
<units name="per_ms_mV">
<unit exponent="-1" units="ms"/>
<unit exponent="-1" units="mV"/>
</units>
<units name="pA_per_pF">
<unit prefix="pico" units="ampere"/>
<unit exponent="-1" prefix="pico" units="farad"/>
</units>
<units name="pF">
<unit prefix="pico" units="farad"/>
</units>
<units name="nS_per_pF">
<unit prefix="nano" units="siemens"/>
<unit exponent="-1" prefix="pico" units="farad"/>
</units>
<units name="nS">
<unit prefix="nano" units="siemens"/>
</units>
<units name="pA">
<unit prefix="pico" units="ampere"/>
</units>
<units name="mM">
<unit prefix="milli" units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="uM">
<unit prefix="micro" units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="per_mM">
<unit exponent="-1" units="mM"/>
</units>
<units name="mM4">
<unit exponent="4" units="mM"/>
</units>
<units name="mM_per_ms">
<unit units="mM"/>
<unit units="per_ms"/>
</units>
<units name="mM_per_s">
<unit units="mM"/>
<unit units="per_s"/>
</units>
<units name="mM_per_s_mV">
<unit units="mM_per_s"/>
<unit units="per_mV"/>
</units>
<units name="fM">
<unit prefix="femto" units="mole"/>
<unit exponent="-1" units="litre"/>
</units>
<units name="fM_per_s2mM_per_ms">
<unit exponent="-1" units="ms"/>
<unit units="second"/>
<unit exponent="-1" units="fM"/>
<unit units="mM"/>
</units>
<units name="per_K">
<unit exponent="-1" units="kelvin"/>
</units>
<units name="J_per_K_mol">
<unit units="joule"/>
<unit exponent="-1" units="mole"/>
<unit exponent="-1" units="kelvin"/>
</units>
<units name="C_per_mmol">
<unit units="coulomb"/>
<unit exponent="-1" prefix="milli" units="mole"/>
</units>
<units name="m3">
<unit exponent="3" units="metre"/>
</units>
<units name="fm3">
<unit prefix="femto" units="m3"/>
</units>
<units name="cm">
<unit prefix="centi" units="metre"/>
</units>
<units name="uA">
<unit prefix="micro" units="ampere"/>
</units>
<units name="uA_per_cmsq">
<unit units="uA"/>
<unit exponent="-2" units="cm"/>
</units>
<units name="mS">
<unit prefix="milli" units="siemens"/>
</units>
<units name="mS_per_cmsq">
<unit units="mS"/>
<unit exponent="-2" units="cm"/>
</units>
<units name="uF">
<unit prefix="micro" units="farad"/>
</units>
<units name="uF_per_cmsq">
<unit units="uF"/>
<unit exponent="-2" units="cm"/>
</units>
<component name="mPulse_protocol_s">
<variable name="time" public_interface="in" units="second"/>
<variable cmeta:id="steady_state_time" name="t_ss" public_interface="in" units="second"/>
<variable cmeta:id="activation_holding_potential" name="V_actHolding" public_interface="in" units="mV"/>
<variable cmeta:id="activation_duration" name="t_act" public_interface="in" units="second"/>
<variable cmeta:id="activation_test_potential" name="V_actTest" public_interface="in" units="mV"/>
<variable cmeta:id="interpulse" name="t_intp" public_interface="in" units="second"/>
<variable cmeta:id="period" name="stimPeriod" units="second"/>
<variable cmeta:id="localTimer" name="t" units="second"/>
<variable cmeta:id="pulse_number" name="np" public_interface="in" units="dimensionless"/>
<variable name="V" public_interface="out" units="mV"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>stimPeriod</ci>
<apply>
<plus/>
<ci>t_act</ci>
<ci>t_intp</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>t</ci>
<apply>
<minus/>
<apply>
<minus/>
<ci>time</ci>
<ci>t_ss</ci>
</apply>
<apply>
<times/>
<ci>stimPeriod</ci>
<apply>
<floor/>
<apply>
<divide/>
<apply>
<minus/>
<ci>time</ci>
<ci>t_ss</ci>
</apply>
<ci>stimPeriod</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply id="activation_protocol_clamping">
<eq/>
<ci>V</ci>
<piecewise>
<piece>
<ci>V_actHolding</ci>
<apply>
<leq/>
<ci>time</ci>
<ci>t_ss</ci>
</apply>
</piece>
<piece>
<ci>V_actTest</ci>
<apply>
<and/>
<apply>
<gt/>
<ci>time</ci>
<ci>t_ss</ci>
</apply>
<apply>
<leq/>
<ci>t</ci>
<ci>t_act</ci>
</apply>
<apply>
<leq/>
<ci>time</ci>
<apply>
<plus/>
<ci>t_ss</ci>
<apply>
<times/>
<ci>stimPeriod</ci>
<ci>np</ci>
</apply>
</apply>
</apply>
</apply>
</piece>
<otherwise>
<ci>V_actHolding</ci>
</otherwise>
</piecewise>
</apply>
</math>
</component>
<component name="Vstim_para">
<variable initial_value="0" name="t_ss" public_interface="out" units="second"/>
<variable initial_value="-80" name="V_actHolding" public_interface="out" units="mV"/>
<variable initial_value="0.1" name="t_act" public_interface="out" units="second"/>
<variable initial_value="0" name="V_actTest" public_interface="out" units="mV"/>
<variable initial_value="0.33" name="t_intp" public_interface="out" units="second"/>
<variable initial_value="10" name="np" public_interface="out" units="dimensionless"/>
</component>
<!-- def comp Vm as
var time: second {pub: in};
var V: mV {pub: out};
var p1: mV_per_s;
var p2: mV;
var t0: second;
var tss: second {init: 0};-->
<!-- V = p1*(time-t0-tss)+p2;-->
<!-- p1 = sel
case time-tss < 0.4742{second}:
0{mV_per_s};
case (time-tss >= 0.4742{second}) and (time-tss < 9.7684{second}):
0.6008{mV_per_s};
case (time-tss >= 9.7684{second}) and (time-tss < 10.8076{second}):
-4.2966{mV_per_s};
case (time-tss >= 10.8076{second}) and (time-tss < 12.0313{second}):
3.6283{mV_per_s};
case (time-tss >= 12.0313{second}) and (time-tss < 18.3268{second}):
6.7127{mV_per_s};
case (time-tss >= 18.3268{second}) and (time-tss < 19.7879{second}):
3.6151{mV_per_s};
case (time-tss >= 19.7879{second}) and (time-tss < 21.9031{second}):
-6.8481{mV_per_s};
case (time-tss >= 21.9031{second}) and (time-tss < 55.9040{second}):
-0.0369{mV_per_s};
case (time-tss >= 55.9040{second}) and (time-tss < 56.2152{second}):
-66.1632{mV_per_s};
case (time-tss >= 56.2152{second}) and (time-tss < 62.6048{second}):
-1.456{mV_per_s};
case (time-tss >= 62.6048{second}) and (time-tss < 82.4301{second}):
-0.1557{mV_per_s};
case (time-tss >= 82.4301{second}) and (time-tss < 113.9610{second}):
-0.0623{mV_per_s};
otherwise:
0{mM_per_s};
endsel;-->
<!-- p2 = sel
case time-tss < 0.4742{second}:
-63.0930{mV};
case (time-tss >= 0.4742{second}) and (time-tss < 9.7684{second}):
-63.0930{mV};
case (time-tss >= 9.7684{second}) and (time-tss < 10.8076{second}):
-60.7620{mV};
case (time-tss >= 10.8076{second}) and (time-tss < 12.0313{second}):
-65.2270{mV};
case (time-tss >= 12.0313{second}) and (time-tss < 18.3268{second}):
-60.7870{mV};
case (time-tss >= 18.3268{second}) and (time-tss < 19.7879{second}):
-18.5270{mV};
case (time-tss >= 19.7879{second}) and (time-tss < 21.9031{second}):
-13.600{mV};
case (time-tss >= 21.9031{second}) and (time-tss < 55.9040{second}):
-27.7300{mV};
case (time-tss >= 55.9040{second}) and (time-tss < 56.2152{second}):
-28.9850{mV};
case (time-tss >= 56.2152{second}) and (time-tss < 62.6048{second}):
-49.5750{mV};
case (time-tss >= 62.6048{second}) and (time-tss < 82.4301{second}):
-58.3060{mV};
case (time-tss >= 82.4301{second}) and (time-tss < 113.9610{second}):
-61.4480{mV};
otherwise:
-63.411{mV};
endsel;-->
<!-- t0 = sel
case time-tss < 0.4742{second}:
0{second};
case (time-tss >= 0.4742{second}) and (time-tss < 9.7684{second}):
0.4742{second};
case (time-tss >= 9.7684{second}) and (time-tss < 10.8076{second}):
9.7684{second};
case (time-tss >= 10.8076{second}) and (time-tss < 12.0313{second}):
10.8076{second};
case (time-tss >= 12.0313{second}) and (time-tss < 18.3268{second}):
12.0313{second};
case (time-tss >= 18.3268{second}) and (time-tss < 19.7879{second}):
18.3268{second};
case (time-tss >= 19.7879{second}) and (time-tss < 21.9031{second}):
19.7879{second};
case (time-tss >= 21.9031{second}) and (time-tss < 55.9040{second}):
21.9031{second};
case (time-tss >= 55.9040{second}) and (time-tss < 56.2151{second}):
55.9040{second};
case (time-tss >= 56.2151{second}) and (time-tss < 62.6048{second}):
56.2151{second};
case (time-tss >= 62.6048{second}) and (time-tss < 82.4301{second}):
62.6048{second};
case (time-tss >= 82.4301{second}) and (time-tss < 113.9610{second}):
82.4299{second};
otherwise:
0{second};
endsel;
enddef;-->
<component name="control_para">
<variable initial_value="2.9836" name="Nai" public_interface="out" units="mM"/>
<variable initial_value="1" name="inhPump" public_interface="out" units="dimensionless"/>
<variable initial_value="11" name="K_Cahalf" public_interface="out" units="mV"/>
</component>
<component name="outputs">
<variable name="time" public_interface="in" units="second"/>
<variable name="V" public_interface="in" units="mV"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="J_VOCC" public_interface="in" units="mM_per_s"/>
<variable name="J_CaPump" public_interface="in" units="mM_per_s"/>
<variable name="J_NaCa" public_interface="in" units="mM_per_s"/>
<variable name="K_1" public_interface="in" units="per_s"/>
</component>
<component name="EC_uSMC">
<variable name="R" private_interface="out" public_interface="in" units="J_per_K_mol"/>
<variable name="F" private_interface="out" public_interface="in" units="C_per_mmol"/>
<variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
<variable name="Nai" private_interface="out" public_interface="in" units="mM"/>
<variable name="Nao" private_interface="out" public_interface="in" units="mM"/>
<variable name="Cao" private_interface="out" public_interface="in" units="mM"/>
<variable name="V_cell" private_interface="out" public_interface="in" units="fm3"/>
<variable name="V_Cahalf" private_interface="out" public_interface="in" units="mV"/>
<variable name="K_Cahalf" private_interface="out" public_interface="in" units="mV"/>
<variable name="g_mCa" private_interface="out" public_interface="in" units="nS"/>
<variable name="V_pmax" private_interface="out" public_interface="in" units="mM_per_s"/>
<variable name="n" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="K_ph" private_interface="out" public_interface="in" units="mM"/>
<variable name="K_NaCa" private_interface="out" public_interface="in" units="mM"/>
<variable name="G_NaCa" private_interface="out" public_interface="in" units="mM_per_s_mV"/>
<variable name="Cai_init" private_interface="out" public_interface="in" units="mM"/>
<variable name="n_M" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="Ca_halfMLCK" private_interface="out" public_interface="in" units="mM"/>
<variable name="inhPump" private_interface="out" public_interface="in" units="dimensionless"/>
<variable name="time" private_interface="out" public_interface="in" units="second"/>
<variable name="V" private_interface="out" public_interface="in" units="mV"/>
<variable name="Cai" private_interface="in" public_interface="out" units="mM"/>
<variable name="J_VOCC" private_interface="in" public_interface="out" units="mM_per_s"/>
<variable name="J_CaPump" private_interface="in" public_interface="out" units="mM_per_s"/>
<variable name="J_NaCa" private_interface="in" public_interface="out" units="mM_per_s"/>
<variable name="rho_vCa" private_interface="in" public_interface="out" units="dimensionless"/>
</component>
<component name="K_1">
<variable name="n_M" public_interface="in" units="dimensionless"/>
<variable name="Ca_halfMLCK" public_interface="in" units="mM"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="K_1" public_interface="out" units="per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>K_1</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<power/>
<ci>Cai</ci>
<ci>n_M</ci>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>Ca_halfMLCK</ci>
<ci>n_M</ci>
</apply>
<apply>
<power/>
<ci>Cai</ci>
<ci>n_M</ci>
</apply>
</apply>
</apply>
<cn cellml:units="per_s">1</cn>
</apply>
</apply>
</math>
</component>
<component name="time_s">
<variable initial_value="0.0" name="time" public_interface="out" units="second"/>
</component>
<component name="model_para">
<variable initial_value="310" name="T" public_interface="out" units="kelvin"/>
<variable initial_value="16.55" name="Nai" public_interface="out" units="mM"/>
<variable initial_value="140" name="Nao" public_interface="out" units="mM"/>
<variable initial_value="2" name="Cao" public_interface="out" units="mM"/>
<variable initial_value="21" name="V_cell" public_interface="out" units="fm3"/>
<variable initial_value="-27" name="V_Cahalf" public_interface="out" units="mV"/>
<variable initial_value="11" name="K_Cahalf" public_interface="out" units="mV"/>
<variable initial_value="0.046842" name="g_mCa" public_interface="out" units="nS"/>
<variable initial_value="5.1449e-4" name="V_pmax" public_interface="out" units="mM_per_s_mV"/>
<variable initial_value="1.9015" name="n" public_interface="out" units="dimensionless"/>
<variable initial_value="0.6e-3" name="K_ph" public_interface="out" units="mM"/>
<variable initial_value="7e-3" name="K_NaCa" public_interface="out" units="mM"/>
<variable initial_value="5.7297e-5" name="G_NaCa" public_interface="out" units="mM_per_s_mV"/>
<variable initial_value="8.7613" name="n_M" public_interface="out" units="dimensionless"/>
<variable initial_value="1.080e-3" name="Ca_halfMLCK" public_interface="out" units="mM"/>
<variable initial_value="0.0378" name="K_7" public_interface="out" units="per_s"/>
<variable initial_value="1.2387" name="K_2" public_interface="out" units="per_s"/>
<variable initial_value="0.1419" name="K_3" public_interface="out" units="per_s"/>
<variable initial_value="1" name="inhPump" public_interface="out" units="dimensionless"/>
</component>
<component name="initials">
<variable initial_value="1" name="M_init" public_interface="out" units="dimensionless"/>
<variable initial_value="0" name="Mp_init" public_interface="out" units="dimensionless"/>
<variable initial_value="0" name="AM_init" public_interface="out" units="dimensionless"/>
<variable initial_value="0" name="AMp_init" public_interface="out" units="dimensionless"/>
<variable initial_value="0.0001161881607214449" name="Cai_init" public_interface="out" units="mM"/>
</component>
<component name="constants">
<variable initial_value="8.314" name="R" public_interface="out" units="J_per_K_mol"/>
<variable initial_value="96.48534" name="F" public_interface="out" units="C_per_mmol"/>
</component>
<component name="E_Ca">
<variable name="R" private_interface="out" public_interface="in" units="J_per_K_mol"/>
<variable name="F" private_interface="out" public_interface="in" units="C_per_mmol"/>
<variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
<variable initial_value="2" name="z_Ca" private_interface="out" units="dimensionless"/>
<variable name="Cai" private_interface="out" public_interface="in" units="mM"/>
<variable name="Cao" private_interface="out" public_interface="in" units="mM"/>
<variable name="E_Ca" private_interface="in" public_interface="out" units="mV"/>
</component>
<component name="E_Na">
<variable name="R" private_interface="out" public_interface="in" units="J_per_K_mol"/>
<variable name="F" private_interface="out" public_interface="in" units="C_per_mmol"/>
<variable name="T" private_interface="out" public_interface="in" units="kelvin"/>
<variable initial_value="1" name="z_Na" private_interface="out" units="dimensionless"/>
<variable name="Nai" private_interface="out" public_interface="in" units="mM"/>
<variable name="Nao" private_interface="out" public_interface="in" units="mM"/>
<variable name="E_Na" private_interface="in" public_interface="out" units="mV"/>
</component>
<component name="J_VOCC">
<variable name="F" private_interface="out" public_interface="in" units="C_per_mmol"/>
<variable name="V_cell" public_interface="in" units="fm3"/>
<variable name="V_Cahalf" public_interface="in" units="mV"/>
<variable name="K_Cahalf" public_interface="in" units="mV"/>
<variable name="g_mCa" private_interface="out" public_interface="in" units="nS"/>
<variable name="E_Ca" private_interface="out" public_interface="in" units="mV"/>
<variable name="V" private_interface="out" public_interface="in" units="mV"/>
<variable name="rho_vCa" private_interface="out" public_interface="out" units="dimensionless"/>
<variable name="I_VOCC" private_interface="in" units="pA"/>
<variable name="J_VOCC" public_interface="out" units="mM_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>rho_vCa</ci>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<exp/>
<apply>
<divide/>
<apply>
<minus/>
<ci>V_Cahalf</ci>
<ci>V</ci>
</apply>
<ci>K_Cahalf</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_VOCC</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>I_VOCC</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>V_cell</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_CaPump">
<variable name="V_pmax" public_interface="in" units="mM_per_s_mV"/>
<variable name="n" public_interface="in" units="dimensionless"/>
<variable name="K_ph" public_interface="in" units="mM"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="J_CaPump" public_interface="out" units="mM_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>J_CaPump</ci>
<apply>
<divide/>
<apply>
<times/>
<apply>
<minus/>
<ci>V_pmax</ci>
</apply>
<apply>
<power/>
<ci>Cai</ci>
<ci>n</ci>
</apply>
</apply>
<apply>
<plus/>
<apply>
<power/>
<ci>K_ph</ci>
<ci>n</ci>
</apply>
<apply>
<power/>
<ci>Cai</ci>
<ci>n</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="J_NaCa">
<variable name="K_NaCa" public_interface="in" units="mM"/>
<variable name="G_NaCa" public_interface="in" units="mM_per_s_mV"/>
<variable name="E_Ca" public_interface="in" units="mV"/>
<variable name="E_Na" public_interface="in" units="mV"/>
<variable name="Cai" public_interface="in" units="mM"/>
<variable name="V" public_interface="in" units="mV"/>
<variable name="V_mNaCa" units="mV"/>
<variable name="J_NaCa" public_interface="out" units="mM_per_s"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>V_mNaCa</ci>
<apply>
<minus/>
<apply>
<times/>
<cn cellml:units="dimensionless">3</cn>
<ci>E_Na</ci>
</apply>
<apply>
<times/>
<cn cellml:units="dimensionless">2</cn>
<ci>E_Ca</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_NaCa</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>G_NaCa</ci>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>Cai</ci>
<ci>K_NaCa</ci>
</apply>
</apply>
<apply>
<minus/>
<ci>V</ci>
<ci>V_mNaCa</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Cai">
<variable name="time" public_interface="in" units="second"/>
<variable name="J_VOCC" public_interface="in" units="mM_per_s"/>
<variable name="J_CaPump" public_interface="in" units="mM_per_s"/>
<variable name="J_NaCa" public_interface="in" units="mM_per_s"/>
<variable name="inhPump" public_interface="in" units="dimensionless"/>
<variable name="Cai_init" public_interface="in" units="mM"/>
<variable initial_value="0.0001161881607214449" name="Cai" public_interface="out" units="mM"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>Cai</ci>
</apply>
<apply>
<plus/>
<ci>J_VOCC</ci>
<apply>
<times/>
<ci>inhPump</ci>
<ci>J_CaPump</ci>
</apply>
<ci>J_NaCa</ci>
</apply>
</apply>
</math>
</component>
<component name="E_NaComp">
<variable name="R" public_interface="in" units="J_per_K_mol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="z" public_interface="in" units="dimensionless"/>
<variable name="X_i" public_interface="in" units="mM"/>
<variable name="X_o" public_interface="in" units="mM"/>
<variable cmeta:id="Nernst_potentials_E" name="E" public_interface="out" units="mV"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>X_o</ci>
<ci>X_i</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="E_CaComp">
<variable name="R" public_interface="in" units="J_per_K_mol"/>
<variable name="F" public_interface="in" units="C_per_mmol"/>
<variable name="T" public_interface="in" units="kelvin"/>
<variable name="z" public_interface="in" units="dimensionless"/>
<variable name="X_i" public_interface="in" units="mM"/>
<variable name="X_o" public_interface="in" units="mM"/>
<variable cmeta:id="Nernst_potentials_E" name="E" public_interface="out" units="mV"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>E</ci>
<apply>
<times/>
<apply>
<divide/>
<apply>
<times/>
<ci>R</ci>
<ci>T</ci>
</apply>
<apply>
<times/>
<ci>z</ci>
<ci>F</ci>
</apply>
</apply>
<apply>
<ln/>
<apply>
<divide/>
<ci>X_o</ci>
<ci>X_i</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<component name="Ionic_currents">
<variable name="V" public_interface="in" units="mV"/>
<variable name="E" public_interface="in" units="mV"/>
<variable name="g_max" public_interface="in" units="nS"/>
<variable name="PO" public_interface="in" units="dimensionless"/>
<variable name="I" public_interface="out" units="pA"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply id="I_calculation">
<eq/>
<ci>I</ci>
<apply>
<times/>
<ci>g_max</ci>
<ci>PO</ci>
<apply>
<minus/>
<ci>V</ci>
<ci>E</ci>
</apply>
</apply>
</apply>
</math>
</component>
<group>
<relationship_ref relationship="encapsulation"/>
<component_ref component="EC_uSMC">
<component_ref component="E_Ca"/>
<component_ref component="E_Na"/>
<component_ref component="J_VOCC"/>
<component_ref component="J_CaPump"/>
<component_ref component="J_NaCa"/>
<component_ref component="Cai"/>
<component_ref component="K_1"/>
</component_ref>
<component_ref component="E_Na">
<component_ref component="E_NaComp"/>
</component_ref>
<component_ref component="E_Ca">
<component_ref component="E_CaComp"/>
</component_ref>
<component_ref component="J_VOCC">
<component_ref component="Ionic_currents"/>
</component_ref>
</group>
<connection>
<map_components component_1="time_s" component_2="mPulse_protocol_s"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="time_s" component_2="EC_uSMC"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="control_para" component_2="EC_uSMC"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
<map_variables variable_1="inhPump" variable_2="inhPump"/>
<map_variables variable_1="K_Cahalf" variable_2="K_Cahalf"/>
</connection>
<connection>
<map_components component_1="mPulse_protocol_s" component_2="EC_uSMC"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="EC_uSMC" component_2="outputs"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="J_VOCC" variable_2="J_VOCC"/>
<map_variables variable_1="J_CaPump" variable_2="J_CaPump"/>
<map_variables variable_1="J_NaCa" variable_2="J_NaCa"/>
</connection>
<connection>
<map_components component_1="outputs" component_2="K_1"/>
<map_variables variable_1="K_1" variable_2="K_1"/>
</connection>
<connection>
<map_components component_1="outputs" component_2="time_s"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="mPulse_protocol_s" component_2="outputs"/>
<map_variables variable_1="V" variable_2="V"/>
</connection>
<connection>
<map_components component_1="model_para" component_2="EC_uSMC"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
<map_variables variable_1="Cao" variable_2="Cao"/>
<map_variables variable_1="V_cell" variable_2="V_cell"/>
<map_variables variable_1="V_Cahalf" variable_2="V_Cahalf"/>
<map_variables variable_1="g_mCa" variable_2="g_mCa"/>
<map_variables variable_1="V_pmax" variable_2="V_pmax"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="K_ph" variable_2="K_ph"/>
<map_variables variable_1="K_NaCa" variable_2="K_NaCa"/>
<map_variables variable_1="G_NaCa" variable_2="G_NaCa"/>
<map_variables variable_1="n_M" variable_2="n_M"/>
<map_variables variable_1="Ca_halfMLCK" variable_2="Ca_halfMLCK"/>
</connection>
<connection>
<map_components component_1="constants" component_2="EC_uSMC"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="F" variable_2="F"/>
</connection>
<connection>
<map_components component_1="initials" component_2="EC_uSMC"/>
<map_variables variable_1="Cai_init" variable_2="Cai_init"/>
</connection>
<connection>
<map_components component_1="EC_uSMC" component_2="E_Na"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="Nai" variable_2="Nai"/>
<map_variables variable_1="Nao" variable_2="Nao"/>
</connection>
<connection>
<map_components component_1="EC_uSMC" component_2="E_Ca"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="Cao" variable_2="Cao"/>
</connection>
<connection>
<map_components component_1="EC_uSMC" component_2="K_1"/>
<map_variables variable_1="n_M" variable_2="n_M"/>
<map_variables variable_1="Ca_halfMLCK" variable_2="Ca_halfMLCK"/>
</connection>
<connection>
<map_components component_1="EC_uSMC" component_2="J_VOCC"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="V_cell" variable_2="V_cell"/>
<map_variables variable_1="V_Cahalf" variable_2="V_Cahalf"/>
<map_variables variable_1="K_Cahalf" variable_2="K_Cahalf"/>
<map_variables variable_1="g_mCa" variable_2="g_mCa"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="J_VOCC" variable_2="J_VOCC"/>
<map_variables variable_1="rho_vCa" variable_2="rho_vCa"/>
</connection>
<connection>
<map_components component_1="EC_uSMC" component_2="J_CaPump"/>
<map_variables variable_1="V_pmax" variable_2="V_pmax"/>
<map_variables variable_1="n" variable_2="n"/>
<map_variables variable_1="K_ph" variable_2="K_ph"/>
<map_variables variable_1="J_CaPump" variable_2="J_CaPump"/>
</connection>
<connection>
<map_components component_1="EC_uSMC" component_2="J_NaCa"/>
<map_variables variable_1="K_NaCa" variable_2="K_NaCa"/>
<map_variables variable_1="G_NaCa" variable_2="G_NaCa"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="J_NaCa" variable_2="J_NaCa"/>
</connection>
<connection>
<map_components component_1="EC_uSMC" component_2="Cai"/>
<map_variables variable_1="Cai_init" variable_2="Cai_init"/>
<map_variables variable_1="time" variable_2="time"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="inhPump" variable_2="inhPump"/>
</connection>
<connection>
<map_components component_1="Cai" component_2="E_Ca"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
</connection>
<connection>
<map_components component_1="J_VOCC" component_2="E_Ca"/>
<map_variables variable_1="E_Ca" variable_2="E_Ca"/>
</connection>
<connection>
<map_components component_1="J_NaCa" component_2="E_Ca"/>
<map_variables variable_1="E_Ca" variable_2="E_Ca"/>
</connection>
<connection>
<map_components component_1="J_NaCa" component_2="E_Na"/>
<map_variables variable_1="E_Na" variable_2="E_Na"/>
</connection>
<connection>
<map_components component_1="Cai" component_2="K_1"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
</connection>
<connection>
<map_components component_1="Cai" component_2="J_CaPump"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="J_CaPump" variable_2="J_CaPump"/>
</connection>
<connection>
<map_components component_1="Cai" component_2="J_VOCC"/>
<map_variables variable_1="J_VOCC" variable_2="J_VOCC"/>
</connection>
<connection>
<map_components component_1="Cai" component_2="J_NaCa"/>
<map_variables variable_1="Cai" variable_2="Cai"/>
<map_variables variable_1="J_NaCa" variable_2="J_NaCa"/>
</connection>
<connection>
<map_components component_1="E_Na" component_2="E_NaComp"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_Na" variable_2="z"/>
<map_variables variable_1="Nai" variable_2="X_i"/>
<map_variables variable_1="Nao" variable_2="X_o"/>
<map_variables variable_1="E_Na" variable_2="E"/>
</connection>
<connection>
<map_components component_1="E_Ca" component_2="E_CaComp"/>
<map_variables variable_1="R" variable_2="R"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="T" variable_2="T"/>
<map_variables variable_1="z_Ca" variable_2="z"/>
<map_variables variable_1="Cai" variable_2="X_i"/>
<map_variables variable_1="Cao" variable_2="X_o"/>
<map_variables variable_1="E_Ca" variable_2="E"/>
</connection>
<connection>
<map_components component_1="J_VOCC" component_2="Ionic_currents"/>
<map_variables variable_1="I_VOCC" variable_2="I"/>
<map_variables variable_1="V" variable_2="V"/>
<map_variables variable_1="E_Ca" variable_2="E"/>
<map_variables variable_1="g_mCa" variable_2="g_max"/>
<map_variables variable_1="rho_vCa" variable_2="PO"/>
</connection>
<connection>
<map_components component_1="Vstim_para" component_2="mPulse_protocol_s"/>
<map_variables variable_1="t_ss" variable_2="t_ss"/>
<map_variables variable_1="V_actHolding" variable_2="V_actHolding"/>
<map_variables variable_1="t_act" variable_2="t_act"/>
<map_variables variable_1="V_actTest" variable_2="V_actTest"/>
<map_variables variable_1="t_intp" variable_2="t_intp"/>
<map_variables variable_1="np" variable_2="np"/>
</connection>
<connection>
<map_components component_1="time_s" component_2="mPulse_protocol_s"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
</model>
