- Author:
- James Lawson <j.lawson@auckland.ac.nz>
- Date:
- 2009-08-19 15:23:07+12:00
- Desc:
- fixed e-notation, added folder with cellml 1.1 model
- Permanent Source URI:
- https://models.cellml.org/workspace/pasek_simurda_christe_2006/rawfile/736b0507667a1bf339758f1653782dbe03bae6b4/pasek_2006_cellml1-1/pasek_model_2006.cellml
<?xml version="1.0" encoding="UTF-8"?>
<!-- FILE : pasek_model_2006.xml -->
<model name="pasek_model_2006" cmeta:id="pasek_model_2006" xmlns="http://www.cellml.org/cellml/1.1#" xmlns:cellml="http://www.cellml.org/cellml/1.1#" xmlns:cmeta="http://www.cellml.org/metadata/1.0#" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:dc="http://purl.org/dc/elements/1.1/" xmlns:rdf="http://www.w3.org/1999/02/22-rdf-syntax-ns#" xmlns:bqs="http://www.cellml.org/bqs/1.0#" xmlns:dcterms="http://purl.org/dc/terms/" xmlns:vCard="http://www.w3.org/2001/vcard-rdf/3.0#">
<import xlink:href="pasek_model_2006_surface_membrane.cellml">
<component name="surface_membrane" component_ref="surface_membrane"/>
</import>
<connection>
<map_components component_1="surface_membrane" component_2="common_current"/>
<map_variables variable_1="Vm_s" variable_2="Vm_s"/>
<map_variables variable_1="i_circ" variable_2="i_circ"/>
</connection>
<connection>
<map_components component_1="surface_membrane" component_2="ion_concentrations"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="K_i" variable_1="K_i"/>
<map_variables variable_2="Ca_ss" variable_1="Ca_ss"/>
<map_variables variable_1="i_Kext" variable_2="i_Kext"/>
<map_variables variable_1="i_Na_s" variable_2="i_Na_s"/>
<map_variables variable_1="i_Ca_s" variable_2="i_Ca_s"/>
<map_variables variable_1="i_BNa_s" variable_2="i_BNa_s"/>
<map_variables variable_1="i_BCa_s" variable_2="i_BCa_s"/>
<map_variables variable_1="i_BK_s" variable_2="i_BK_s"/>
<map_variables variable_1="i_NaCa_s" variable_2="i_NaCa_s"/>
<map_variables variable_1="i_NaK_s" variable_2="i_NaK_s"/>
<map_variables variable_1="i_K1_s" variable_2="i_K1_s"/>
<map_variables variable_1="i_Kto_s" variable_2="i_Kto_s"/>
<map_variables variable_1="i_Kss_s" variable_2="i_Kss_s"/>
<map_variables variable_1="i_CaP_s" variable_2="i_CaP_s"/>
<map_variables variable_1="i_fNa_s" variable_2="i_fNa_s"/>
<map_variables variable_1="i_fK_s" variable_2="i_fK_s"/>
</connection>
<connection>
<map_components component_1="surface_membrane" component_2="model_parameters"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Na_e" variable_1="Na_e"/>
<map_variables variable_2="Ca_e" variable_1="Ca_e"/>
<map_variables variable_2="K_e" variable_1="K_e"/>
<map_variables variable_2="Cms" variable_1="Cms"/>
<map_variables variable_2="Sms" variable_1="Sms"/>
<map_variables variable_2="Smt" variable_1="Smt"/>
</connection>
<connection>
<map_components component_1="surface_membrane" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<import xlink:href="pasek_model_2006_tubular_membrane.cellml">
<component name="tubular_membrane" component_ref="tubular_membrane"/>
</import>
<connection>
<map_components component_1="tubular_membrane" component_2="common_current"/>
<map_variables variable_1="Vm_t" variable_2="Vm_t"/>
<map_variables variable_1="i_circ" variable_2="i_circ"/>
</connection>
<connection>
<map_components component_1="tubular_membrane" component_2="ion_concentrations"/>
<map_variables variable_2="Na_i" variable_1="Na_i"/>
<map_variables variable_2="Ca_i" variable_1="Ca_i"/>
<map_variables variable_2="K_i" variable_1="K_i"/>
<map_variables variable_2="Na_t" variable_1="Na_t"/>
<map_variables variable_2="Ca_t" variable_1="Ca_t"/>
<map_variables variable_2="K_t" variable_1="K_t"/>
<map_variables variable_2="Ca_ss" variable_1="Ca_ss"/>
<map_variables variable_1="i_Na_t" variable_2="i_Na_t"/>
<map_variables variable_1="i_Ca_t" variable_2="i_Ca_t"/>
<map_variables variable_1="i_BNa_t" variable_2="i_BNa_t"/>
<map_variables variable_1="i_BCa_t" variable_2="i_BCa_t"/>
<map_variables variable_1="i_BK_t" variable_2="i_BK_t"/>
<map_variables variable_1="i_NaCa_t" variable_2="i_NaCa_t"/>
<map_variables variable_1="i_NaK_t" variable_2="i_NaK_t"/>
<map_variables variable_1="i_K1_t" variable_2="i_K1_t"/>
<map_variables variable_1="i_Kto_t" variable_2="i_Kto_t"/>
<map_variables variable_1="i_Kss_t" variable_2="i_Kss_t"/>
<map_variables variable_1="i_CaP_t" variable_2="i_CaP_t"/>
<map_variables variable_1="i_fNa_t" variable_2="i_fNa_t"/>
<map_variables variable_1="i_fK_t" variable_2="i_fK_t"/>
</connection>
<connection>
<map_components component_1="tubular_membrane" component_2="model_parameters"/>
<map_variables variable_2="R" variable_1="R"/>
<map_variables variable_2="T" variable_1="T"/>
<map_variables variable_2="F" variable_1="F"/>
<map_variables variable_2="Cmt" variable_1="Cmt"/>
<map_variables variable_2="Sms" variable_1="Sms"/>
<map_variables variable_2="Smt" variable_1="Smt"/>
</connection>
<connection>
<map_components component_1="tubular_membrane" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<units name="per_second">
<unit units="second" exponent="-1"/>
</units>
<units name="millivolt">
<unit units="volt" prefix="milli"/>
</units>
<units name="per_millivolt">
<unit units="volt" prefix="milli" exponent="-1"/>
</units>
<units name="per_millivolt_second">
<unit units="millivolt" exponent="-1"/>
<unit units="second" exponent="-1"/>
</units>
<units name="per_millivolt2">
<unit units="volt" prefix="milli" exponent="-2"/>
</units>
<units name="cm">
<unit units="metre" prefix="centi"/>
</units>
<units name="per_cm">
<unit units="metre" prefix="centi" exponent="-1"/>
</units>
<units name="cm2">
<unit units="metre" prefix="centi" exponent="2"/>
</units>
<units name="microS">
<unit units="siemens" prefix="micro"/>
</units>
<units name="microF">
<unit units="farad" prefix="micro"/>
</units>
<units name="microA">
<unit units="ampere" prefix="micro"/>
</units>
<units name="millimolar">
<unit units="mole" prefix="milli"/>
<unit units="litre" exponent="-1"/>
</units>
<units name="millimolar2">
<unit units="millimolar" exponent="2"/>
</units>
<units name="millimolar_per_second">
<unit units="millimolar"/>
<unit units="second" exponent="-1"/>
</units>
<units name="millimolar2_per_cm3">
<unit units="millimolar" exponent="2"/>
<unit units="metre" prefix="centi" exponent="-3"/>
</units>
<units name="per_millimolar_per_second">
<unit units="millimolar" exponent="-1"/>
<unit units="second" exponent="-1"/>
</units>
<units name="per_millimolar3_per_second">
<unit units="millimolar" exponent="-3"/>
<unit units="second" exponent="-1"/>
</units>
<units name="per_millimolar4">
<unit units="millimolar" exponent="-4"/>
</units>
<units name="per_millimolar4_per_second">
<unit units="per_millimolar4"/>
<unit units="second" exponent="-1"/>
</units>
<units name="microA_per_millimolar">
<unit units="microA"/>
<unit units="millimolar" exponent="-1"/>
</units>
<units name="microA_per_cm2">
<unit units="microA"/>
<unit units="cm2" exponent="-1"/>
</units>
<units name="microF_per_cm2">
<unit units="microF"/>
<unit units="cm2" exponent="-1"/>
</units>
<units name="kilo_ohm">
<unit units="ohm" prefix="kilo"/>
</units>
<units name="ohm_per_cm2">
<unit units="ohm"/>
<unit units="cm2" exponent="-1"/>
</units>
<units name="microA_per_millimolar4">
<unit units="microA"/>
<unit units="per_millimolar4"/>
</units>
<units name="joule_per_kilomole_kelvin">
<unit units="joule"/>
<unit units="kelvin" exponent="-1"/>
<unit units="mole" prefix="kilo" exponent="-1"/>
</units>
<units name="coulomb_per_mole">
<unit units="coulomb"/>
<unit units="mole" exponent="-1"/>
</units>
<units name="mole_per_coulomb">
<unit units="coulomb_per_mole" exponent="-1"/>
</units>
<units name="cm3">
<unit units="metre" prefix="centi" exponent="3"/>
</units>
<!-- global variables -->
<component name="environment">
<variable name="time" units="second" public_interface="out"/>
</component>
<component name="model_parameters">
<variable name="R" units="joule_per_kilomole_kelvin" initial_value="8310" public_interface="out"/>
<variable name="T" units="kelvin" initial_value="295" public_interface="out"/>
<variable name="F" units="coulomb_per_mole" initial_value="96500" public_interface="out"/>
<variable name="Na_e" units="millimolar" initial_value="140" public_interface="out"/>
<variable name="Ca_e" units="millimolar" initial_value="1.2" public_interface="out"/>
<variable name="K_e" units="millimolar" initial_value="5.4" public_interface="out"/>
<variable name="Vt" units="cm3" public_interface="out"/>
<variable name="Vd" units="cm3" public_interface="out"/>
<variable name="Vmyo" units="cm3" public_interface="out"/>
<variable name="Sms" units="cm2" public_interface="out"/>
<variable name="Smt" units="cm2" public_interface="out"/>
<variable name="Cms" units="microF" public_interface="out"/>
<variable name="Cmt" units="microF" public_interface="out"/>
<variable name="Vc" units="cm3"/>
<variable name="VSRup" units="cm3"/>
<variable name="VSRrel" units="cm3"/>
<variable name="pt" units="dimensionless"/>
<variable name="Lt" units="cm"/>
<variable name="Rst" units="ohm"/>
<variable name="Rot" units="ohm_per_cm2" initial_value="83.33"/>
<variable name="radiust" units="cm" initial_value="150e-7"/>
<variable name="ptcm" units="per_cm" initial_value="30000000"/>
<variable name="Smtot" units="cm2" initial_value="0.0001"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<ci>Vc</ci>
<apply><divide/>
<ci>Smtot</ci>
<cn cellml:units="per_cm">7850</cn>
</apply>
</apply>
<apply><eq/>
<ci>Vmyo</ci>
<apply><times/>
<ci>Vc</ci>
<cn cellml:units="dimensionless">0.585</cn>
</apply>
</apply>
<apply><eq/>
<ci>VSRup</ci>
<apply><times/>
<ci>Vc</ci>
<cn cellml:units="dimensionless">0.0315</cn>
</apply>
</apply>
<apply><eq/>
<ci>VSRrel</ci>
<apply><times/>
<ci>Vc</ci>
<cn cellml:units="dimensionless">0.0035</cn>
</apply>
</apply>
<apply><eq/>
<ci>Vd</ci>
<apply><times/>
<ci>Vc</ci>
<cn cellml:units="dimensionless">0.000075</cn>
</apply>
</apply>
<apply><eq/>
<ci>Sms</ci>
<apply><minus/>
<ci>Smtot</ci>
<apply><times/>
<cn cellml:units="per_cm" type="e-notation">0.44<sep/>4</cn>
<ci>Vc</ci>
</apply>
</apply>
</apply>
<apply><eq/>
<ci>Smt</ci>
<apply><minus/>
<ci>Smtot</ci>
<ci>Sms</ci>
</apply>
</apply>
<apply><eq/>
<ci>pt</ci>
<apply><times/>
<ci>ptcm</ci>
<ci>Sms</ci>
</apply>
</apply>
<apply><eq/>
<ci>Lt</ci>
<apply><divide/>
<ci>Smt</ci>
<apply><times/>
<cn cellml:units="dimensionless">2</cn>
<cn cellml:units="dimensionless">3.14159</cn>
<ci>radiust</ci>
<ci>pt</ci>
</apply>
</apply>
</apply>
<apply><eq/>
<ci>Vt</ci>
<apply><times/>
<cn cellml:units="dimensionless">3.14159</cn>
<apply><power/>
<ci>radiust</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>Lt</ci>
<ci>pt</ci>
</apply>
</apply>
<apply><eq/>
<ci>Cmt</ci>
<apply><times/>
<ci>Smt</ci>
<cn cellml:units="microF_per_cm2">1</cn>
</apply>
</apply>
<apply><eq/>
<ci>Cms</ci>
<apply><times/>
<ci>Sms</ci>
<cn cellml:units="microF_per_cm2">1</cn>
</apply>
</apply>
<apply><eq/>
<ci>Rst</ci>
<apply><divide/>
<apply><times/>
<ci>Rot</ci>
<apply><divide/>
<ci>Lt</ci>
<cn cellml:units="cm">2</cn>
</apply>
</apply>
<apply><times/>
<cn cellml:units="dimensionless">3.14159</cn>
<apply><power/>
<ci>radiust</ci>
<cn cellml:units="dimensionless">2</cn>
</apply>
<ci>pt</ci>
</apply>
</apply>
</apply>
</math>
</component>
<!-- Electrical interaction -->
<component name="common_current">
<variable name="i_circ" public_interface="out" units="microA"/>
<variable name="R_st" units="kilo_ohm" initial_value="20.0"/>
<variable name="Vm_s" units="millivolt" public_interface="in"/>
<variable name="Vm_t" units="millivolt" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<ci>i_circ</ci>
<apply><times/>
<cn cellml:units="dimensionless">1000</cn>
<apply><divide/>
<apply><minus/>
<ci>Vm_s</ci>
<ci>Vm_t</ci>
</apply>
<ci>R_st</ci>
</apply>
</apply>
</apply>
</math>
</component>
<!-- intracellular calcium handling -->
<component name="SR_Ca_release_channel">
<variable name="J_CaSRrel" units="millimolar_per_second" public_interface="out"/>
<variable name="kap" units="per_millimolar4_per_second" initial_value="12.15e12"/>
<variable name="kam" units="per_second" initial_value="576"/>
<variable name="kbp" units="per_millimolar3_per_second" initial_value="4.05e9"/>
<variable name="kbm" units="per_second" initial_value="1930"/>
<variable name="kcp" units="per_second" initial_value="100"/>
<variable name="kcm" units="per_second" initial_value="0.8"/>
<variable name="F2" units="dimensionless" initial_value="3.8333331e-4"/>
<variable name="F3" units="dimensionless" initial_value="6.4516879e-11"/>
<variable name="F1" units="dimensionless" initial_value="6.7606483e-1"/>
<variable name="F4" units="dimensionless" initial_value="3.2355462e-1"/>
<variable name="time" units="second" public_interface="in"/>
<variable name="Ca_ss" units="millimolar" public_interface="in"/>
<variable name="CaSRrel" units="millimolar" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>F1</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<apply>
<minus/>
<ci>kap</ci>
</apply>
<apply>
<power/>
<ci>Ca_ss</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
<ci>F1</ci>
</apply>
<apply>
<times/>
<ci>kam</ci>
<ci>F2</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>F2</ci>
</apply>
<apply>
<plus/>
<apply>
<minus/>
<apply>
<times/>
<ci>kap</ci>
<apply>
<power/>
<ci>Ca_ss</ci>
<cn cellml:units="dimensionless">4</cn>
</apply>
<ci>F1</ci>
</apply>
<apply>
<plus/>
<apply>
<times/>
<ci>kam</ci>
<ci>F2</ci>
</apply>
<apply>
<times/>
<ci>kbp</ci>
<apply>
<power/>
<ci>Ca_ss</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>F2</ci>
</apply>
<apply>
<times/>
<ci>kcp</ci>
<ci>F2</ci>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>kbm</ci>
<ci>F3</ci>
</apply>
<apply>
<times/>
<ci>kcm</ci>
<ci>F4</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>F3</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>kbp</ci>
<apply>
<power/>
<ci>Ca_ss</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<ci>F2</ci>
</apply>
<apply>
<times/>
<ci>kbm</ci>
<ci>F3</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>F4</ci>
</apply>
<apply>
<minus/>
<apply>
<times/>
<ci>kcp</ci>
<ci>F2</ci>
</apply>
<apply>
<times/>
<ci>kcm</ci>
<ci>F4</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<ci>J_CaSRrel</ci>
<apply>
<times/>
<cn cellml:units="per_second">1800</cn>
<apply>
<plus/>
<ci>F2</ci>
<ci>F3</ci>
</apply>
<apply>
<minus/>
<ci>CaSRrel</ci>
<ci>Ca_ss</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="SERCA2a_pump">
<variable name="J_CaSRup" units="millimolar_per_second" public_interface="out"/>
<variable name="K_fb" units="millimolar" initial_value="0.000168"/>
<variable name="K_rb" units="millimolar" initial_value="3.29"/>
<variable name="fb" units="dimensionless"/>
<variable name="rb" units="dimensionless"/>
<variable name="Vmaxf" units="millimolar_per_second" initial_value="0.4"/>
<variable name="Vmaxr" units="millimolar_per_second" initial_value="0.9"/>
<variable name="K_SR" units="dimensionless" initial_value="1"/>
<variable name="N_fb" units="dimensionless" initial_value="1.2"/>
<variable name="N_rb" units="dimensionless" initial_value="1"/>
<variable name="time" units="second" public_interface="in"/>
<variable name="Ca_i" units="millimolar" public_interface="in"/>
<variable name="CaSRup" units="millimolar" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply>
<eq/>
<ci>fb</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>Ca_i</ci>
<ci>K_fb</ci>
</apply>
<ci>N_fb</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>rb</ci>
<apply>
<power/>
<apply>
<divide/>
<ci>CaSRup</ci>
<ci>K_rb</ci>
</apply>
<ci>N_rb</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_CaSRup</ci>
<apply>
<divide/>
<apply>
<times/>
<ci>K_SR</ci>
<apply>
<minus/>
<apply>
<times/>
<ci>Vmaxf</ci>
<ci>fb</ci>
</apply>
<apply>
<times/>
<ci>Vmaxr</ci>
<ci>rb</ci>
</apply>
</apply>
</apply>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<ci>fb</ci>
<ci>rb</ci>
</apply>
</apply>
</apply>
</math>
</component>
<component name="intracellular_and_SR_Ca_fluxes">
<variable name="J_tr" units="millimolar_per_second" public_interface="out"/>
<variable name="J_xfer" units="millimolar_per_second" public_interface="out"/>
<variable name="J_trpn" units="millimolar_per_second" public_interface="out"/>
<variable name="J_BTRH" units="millimolar_per_second" public_interface="out"/>
<variable name="J_BTRL" units="millimolar_per_second" public_interface="out"/>
<variable name="BTRHmax" units="millimolar" initial_value="0.14" public_interface="out"/>
<variable name="BTRLmax" units="millimolar" initial_value="0.07" public_interface="out"/>
<variable name="tau_tr" units="second" initial_value="0.02"/>
<variable name="tau_xfer" units="second" initial_value="0.008"/>
<variable name="BTRH" units="millimolar" initial_value="9.2804169e-1"/>
<variable name="BTRL" units="millimolar" initial_value="3.4317829e-2"/>
<variable name="k_htrpn_plus" units="per_millimolar_per_second" initial_value="20000"/>
<variable name="k_htrpn_minus" units="per_second" initial_value="0.07"/>
<variable name="k_ltrpn_plus" units="per_millimolar_per_second" initial_value="40000"/>
<variable name="k_ltrpn_minus" units="per_second" initial_value="40"/>
<variable name="Ca_ss" units="millimolar" public_interface="in"/>
<variable name="Ca_i" units="millimolar" public_interface="in"/>
<variable name="CaSRup" units="millimolar" public_interface="in"/>
<variable name="CaSRrel" units="millimolar" public_interface="in"/>
<variable name="time" units="second" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<ci>J_tr</ci>
<apply><divide/>
<apply><minus/>
<ci>CaSRup</ci>
<ci>CaSRrel</ci>
</apply>
<ci>tau_tr</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_xfer</ci>
<apply>
<divide/>
<apply>
<minus/>
<ci>Ca_ss</ci>
<ci>Ca_i</ci>
</apply>
<ci>tau_xfer</ci>
</apply>
</apply>
<apply>
<eq/>
<ci>J_BTRH</ci>
<apply><minus/>
<apply><times/>
<ci>k_htrpn_plus</ci>
<ci>Ca_i</ci>
<apply><minus/>
<cn cellml:units="millimolar">1</cn>
<ci>BTRH</ci>
</apply>
</apply>
<apply><times/>
<ci>k_htrpn_minus</ci>
<ci>BTRH</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>BTRH</ci>
</apply>
<ci>J_BTRH</ci>
</apply>
<apply><eq/>
<ci>J_BTRL</ci>
<apply><minus/>
<apply><times/>
<ci>k_ltrpn_plus</ci>
<ci>Ca_i</ci>
<apply><minus/>
<cn cellml:units="millimolar">1</cn>
<ci>BTRL</ci>
</apply>
</apply>
<apply><times/>
<ci>k_ltrpn_minus</ci>
<ci>BTRL</ci>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>BTRL</ci>
</apply>
<ci>J_BTRL</ci>
</apply>
<apply>
<eq/>
<ci>J_trpn</ci>
<apply>
<plus/>
<ci>J_BTRH</ci>
<ci>J_BTRL</ci>
</apply>
</apply>
</math>
</component>
<component name="ion_concentrations">
<variable name="Na_i" units="millimolar" initial_value="6.9435814e0" public_interface="out"/>
<variable name="Ca_i" units="millimolar" initial_value="3.5486498e-5" public_interface="out"/>
<variable name="K_i" units="millimolar" initial_value="1.3753311e2" public_interface="out"/>
<variable name="Na_t" units="millimolar" initial_value="1.4001386e2" public_interface="out"/>
<variable name="Ca_t" units="millimolar" initial_value="1.2271399e0" public_interface="out"/>
<variable name="K_t" units="millimolar" initial_value="5.3627676e0" public_interface="out"/>
<variable name="Ca_ss" units="millimolar" initial_value="4.3112114e-5" public_interface="out"/>
<variable name="CaSRrel" units="millimolar" initial_value="2.2638169e-1" public_interface="out"/>
<variable name="CaSRup" units="millimolar" initial_value="2.2755058e-1" public_interface="out"/>
<variable name="i_Kext" units="microA" public_interface="out"/>
<variable name="K_mCMDN" units="millimolar" initial_value="0.00238"/>
<variable name="K_mCSQN" units="millimolar" initial_value="0.8"/>
<variable name="K_mEGTA" units="millimolar" initial_value="0.00015"/>
<variable name="CMDN_tot" units="millimolar" initial_value="0.05"/>
<variable name="CSQN_tot" units="millimolar" initial_value="15"/>
<variable name="EGTA_tot" units="millimolar" initial_value="10"/>
<variable name="tau_d" units="second" initial_value="0.008"/>
<variable name="STIMULATION" units="dimensionless" initial_value="1"/>
<variable name="time0" units="second" initial_value="0"/>
<variable name="J_BTRH" units="millimolar_per_second" public_interface="in"/>
<variable name="J_BTRL" units="millimolar_per_second" public_interface="in"/>
<variable name="BTRHmax" units="millimolar" public_interface="in"/>
<variable name="BTRLmax" units="millimolar" public_interface="in"/>
<variable name="Vd" units="cm3" public_interface="in"/>
<variable name="Vt" units="cm3" public_interface="in"/>
<variable name="Vmyo" units="cm3" public_interface="in"/>
<variable name="time" units="second" public_interface="in"/>
<variable name="F" units="coulomb_per_mole" public_interface="in"/>
<variable name="i_Na_s" units="microA" public_interface="in"/>
<variable name="i_Ca_s" units="microA" public_interface="in"/>
<variable name="i_BNa_s" units="microA" public_interface="in"/>
<variable name="i_NaCa_s" units="microA" public_interface="in"/>
<variable name="i_NaK_s" units="microA" public_interface="in"/>
<variable name="i_fNa_s" units="microA" public_interface="in"/>
<variable name="i_fK_s" units="microA" public_interface="in"/>
<variable name="i_BK_s" units="microA" public_interface="in"/>
<variable name="i_K1_s" units="microA" public_interface="in"/>
<variable name="i_Kto_s" units="microA" public_interface="in"/>
<variable name="i_Kss_s" units="microA" public_interface="in"/>
<variable name="i_CaP_s" units="microA" public_interface="in"/>
<variable name="i_BCa_s" units="microA" public_interface="in"/>
<variable name="i_Na_t" units="microA" public_interface="in"/>
<variable name="i_Ca_t" units="microA" public_interface="in"/>
<variable name="i_BNa_t" units="microA" public_interface="in"/>
<variable name="i_NaCa_t" units="microA" public_interface="in"/>
<variable name="i_NaK_t" units="microA" public_interface="in"/>
<variable name="i_fNa_t" units="microA" public_interface="in"/>
<variable name="i_fK_t" units="microA" public_interface="in"/>
<variable name="i_BK_t" units="microA" public_interface="in"/>
<variable name="i_K1_t" units="microA" public_interface="in"/>
<variable name="i_Kto_t" units="microA" public_interface="in"/>
<variable name="i_Kss_t" units="microA" public_interface="in"/>
<variable name="i_CaP_t" units="microA" public_interface="in"/>
<variable name="i_BCa_t" units="microA" public_interface="in"/>
<variable name="J_CaSRup" units="millimolar_per_second" public_interface="in"/>
<variable name="J_CaSRrel" units="millimolar_per_second" public_interface="in"/>
<variable name="J_xfer" units="millimolar_per_second" public_interface="in"/>
<variable name="J_trpn" units="millimolar_per_second" public_interface="in"/>
<variable name="J_tr" units="millimolar_per_second" public_interface="in"/>
<variable name="Jte_Na" units="millimolar_per_second" public_interface="in"/>
<variable name="Jte_Ca" units="millimolar_per_second" public_interface="in"/>
<variable name="Jte_K" units="millimolar_per_second" public_interface="in"/>
<variable name="Sms" units="cm2" public_interface="in"/>
<variable name="Smt" units="cm2" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci>Na_i</ci>
</apply>
<apply><divide/>
<apply><minus/>
<apply><plus/>
<ci>i_Na_s</ci>
<ci>i_Na_t</ci>
<ci>i_BNa_s</ci>
<ci>i_BNa_t</ci>
<apply>
<times/>
<ci>i_NaCa_s</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<times/>
<ci>i_NaCa_t</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<times/>
<ci>i_NaK_s</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<times/>
<ci>i_NaK_t</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
</apply>
<apply>
<times/>
<ci>Vmyo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci>Na_t</ci>
</apply>
<apply><divide/>
<apply><divide/>
<apply><plus/>
<ci>i_Na_t</ci>
<ci>i_BNa_t</ci>
<apply>
<times/>
<ci>i_NaCa_t</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
<apply>
<times/>
<ci>i_NaK_t</ci>
<cn cellml:units="dimensionless">3</cn>
</apply>
</apply>
<apply><minus/>
<ci>F</ci>
<ci>Jte_Na</ci>
</apply>
</apply>
<ci>Vt</ci>
</apply>
</apply>
<apply><eq/>
<ci>i_Kext</ci>
<piecewise>
<piece>
<apply><times/>
<cn cellml:units="microA_per_cm2">52</cn>
<apply><plus/>
<ci>Sms</ci>
<ci>Smt</ci>
</apply>
</apply>
<apply><and/>
<apply><eq/>
<ci>STIMULATION</ci>
<cn cellml:units="dimensionless">1</cn>
</apply>
<apply><lt/>
<apply><minus/>
<ci>time</ci>
<ci>time0</ci>
</apply>
<cn cellml:units="second">0.001</cn>
</apply>
</apply>
</piece>
<otherwise>
<cn cellml:units="microA">0</cn>
</otherwise>
</piecewise>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>K_i</ci>
</apply>
<apply><divide/>
<apply><minus/>
<apply><plus/>
<apply><minus/>
<ci>i_Kext</ci>
</apply>
<ci>i_fK_s</ci>
<ci>i_fK_t</ci>
<ci>i_Kss_s</ci>
<ci>i_Kss_t</ci>
<ci>i_K1_s</ci>
<ci>i_K1_t</ci>
<ci>i_BK_s</ci>
<ci>i_BK_t</ci>
<apply>
<times/>
<ci>i_NaK_s</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<apply>
<times/>
<ci>i_NaK_t</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<ci>i_Kto_s</ci>
<ci>i_Kto_t</ci>
</apply>
</apply>
<apply>
<times/>
<ci>Vmyo</ci>
<ci>F</ci>
</apply>
</apply>
</apply>
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci>K_t</ci>
</apply>
<apply><divide/>
<apply><divide/>
<apply><plus/>
<ci>i_fK_t</ci>
<ci>i_Kss_t</ci>
<ci>i_K1_t</ci>
<ci>i_BK_t</ci>
<apply>
<times/>
<ci>i_NaK_t</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
<ci>i_Kto_t</ci>
</apply>
<apply><minus/>
<ci>F</ci>
<ci>Jte_K</ci>
</apply>
</apply>
<ci>Vt</ci>
</apply>
</apply>
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci>Ca_i</ci>
</apply>
<apply><times/>
<apply><divide/>
<cn cellml:units="millimolar_per_second">1</cn>
<apply><plus/>
<cn cellml:units="millimolar2">1</cn>
<apply><times/>
<ci>CMDN_tot</ci>
<apply><divide/>
<ci>K_mCMDN</ci>
<apply><power/>
<apply><plus/>
<ci>K_mCMDN</ci>
<ci>Ca_i</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><minus/>
<apply><plus/>
<apply><divide/>
<apply><plus/>
<apply><times/>
<cn cellml:units="dimensionless">-2</cn>
<apply><plus/>
<ci>i_NaCa_s</ci>
<ci>i_NaCa_t</ci>
</apply>
</apply>
<apply><plus/>
<ci>i_BCa_s</ci>
<ci>i_BCa_t</ci>
<ci>i_CaP_s</ci>
<ci>i_CaP_t</ci>
</apply>
</apply>
<apply><times/>
<cn cellml:units="dimensionless">-2</cn>
<ci>Vmyo</ci>
<ci>F</ci>
</apply>
</apply>
<apply><divide/>
<apply><minus/>
<apply><plus/>
<apply><divide/>
<apply><times/>
<apply><minus/>
<ci>Ca_ss</ci>
<ci>Ca_i</ci>
</apply>
<ci>Vmyo</ci>
</apply>
<ci>tau_d</ci>
</apply>
<ci>J_CaSRrel</ci>
</apply>
<ci>J_CaSRup</ci>
</apply>
<ci>Vmyo</ci>
</apply>
</apply>
<apply><plus/>
<apply><times/>
<ci>J_BTRH</ci>
<ci>BTRHmax</ci>
</apply>
<apply><times/>
<ci>J_BTRL</ci>
<ci>BTRLmax</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci>Ca_t</ci>
</apply>
<apply><divide/>
<apply><divide/>
<apply><plus/>
<ci>i_Ca_t</ci>
<ci>i_CaP_t</ci>
<ci>i_BCa_t</ci>
<apply><times/>
<ci>i_NaCa_t</ci>
<apply>
<minus/>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
<apply><minus/>
<apply><times/>
<cn cellml:units="dimensionless">2</cn>
<ci>F</ci>
</apply>
<ci>Jte_Ca</ci>
</apply>
</apply>
<ci>Vt</ci>
</apply>
</apply>
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci>Ca_ss</ci>
</apply>
<apply><times/>
<apply><divide/>
<cn cellml:units="millimolar_per_second">1</cn>
<apply><plus/>
<cn cellml:units="millimolar2">1</cn>
<apply><times/>
<ci>CMDN_tot</ci>
<apply><divide/>
<ci>K_mCMDN</ci>
<apply><power/>
<apply><plus/>
<ci>K_mCMDN</ci>
<ci>Ca_ss</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply><divide/>
<apply><minus/>
<apply><plus/>
<ci>i_Ca_s</ci>
<ci>i_Ca_t</ci>
</apply>
</apply>
<apply><minus/>
<apply><plus/>
<apply><times/>
<cn cellml:units="dimensionless">2</cn>
<ci>Vd</ci>
<ci>F</ci>
</apply>
<apply><divide/>
<ci>J_CaSRrel</ci>
<ci>Vd</ci>
</apply>
</apply>
<apply><divide/>
<apply><divide/>
<apply><times/>
<apply><minus/>
<ci>Ca_ss</ci>
<ci>Ca_i</ci>
</apply>
<ci>Vmyo</ci>
</apply>
<ci>tau_d</ci>
</apply>
<ci>Vd</ci>
</apply>
</apply>
</apply>
</apply>
</apply>
<apply>
<eq/>
<apply>
<diff/>
<bvar>
<ci>time</ci>
</bvar>
<ci>CaSRrel</ci>
</apply>
<apply>
<times/>
<apply>
<divide/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<plus/>
<cn cellml:units="dimensionless">1</cn>
<apply>
<divide/>
<apply>
<times/>
<ci>CSQN_tot</ci>
<ci>K_mCSQN</ci>
</apply>
<apply>
<power/>
<apply>
<plus/>
<ci>K_mCSQN</ci>
<ci>CaSRrel</ci>
</apply>
<cn cellml:units="dimensionless">2</cn>
</apply>
</apply>
</apply>
</apply>
<apply>
<minus/>
<ci>J_tr</ci>
<ci>J_CaSRrel</ci>
</apply>
</apply>
</apply>
<apply><eq/>
<apply><diff/>
<bvar><ci>time</ci></bvar>
<ci>CaSRup</ci>
</apply>
<apply><minus/>
<ci>J_CaSRup</ci>
<ci>J_tr</ci>
</apply>
</apply>
</math>
</component>
<component name="t_tubular_ion_fluxes">
<variable name="Jte_Na" units="millimolar_per_second" public_interface="out"/>
<variable name="Jte_Ca" units="millimolar_per_second" public_interface="out"/>
<variable name="Jte_K" units="millimolar_per_second" public_interface="out"/>
<variable name="tau_Na" units="second" initial_value="0.15"/>
<variable name="tau_Ca" units="second" initial_value="0.5"/>
<variable name="tau_K" units="second" initial_value="0.15"/>
<variable name="Vt" units="cm3" public_interface="in"/>
<variable name="Na_t" units="millimolar" public_interface="in"/>
<variable name="Ca_t" units="millimolar" public_interface="in"/>
<variable name="K_t" units="millimolar" public_interface="in"/>
<variable name="Na_e" units="millimolar" public_interface="in"/>
<variable name="Ca_e" units="millimolar" public_interface="in"/>
<variable name="K_e" units="millimolar" public_interface="in"/>
<math xmlns="http://www.w3.org/1998/Math/MathML">
<apply><eq/>
<ci>Jte_Na</ci>
<apply><divide/>
<apply><times/>
<cn cellml:units="millimolar2_per_cm3">1</cn>
<ci>Vt</ci>
</apply>
<apply><times/>
<ci>tau_Na</ci>
<apply><minus/>
<ci>Na_t</ci>
<ci>Na_e</ci>
</apply>
</apply>
</apply>
</apply>
<apply><eq/>
<ci>Jte_Ca</ci>
<apply><divide/>
<apply><times/>
<cn cellml:units="millimolar2_per_cm3">1</cn>
<ci>Vt</ci>
</apply>
<apply><times/>
<ci>tau_Ca</ci>
<apply><minus/>
<ci>Ca_t</ci>
<ci>Ca_e</ci>
</apply>
</apply>
</apply>
</apply>
<apply><eq/>
<ci>Jte_K</ci>
<apply><divide/>
<apply><times/>
<cn cellml:units="millimolar2_per_cm3">1</cn>
<ci>Vt</ci>
</apply>
<apply><times/>
<ci>tau_K</ci>
<apply><minus/>
<ci>K_t</ci>
<ci>K_e</ci>
</apply>
</apply>
</apply>
</apply>
</math>
</component>
<connection>
<map_components component_1="SR_Ca_release_channel" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="SERCA2a_pump" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="intracellular_and_SR_Ca_fluxes" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="ion_concentrations" component_2="environment"/>
<map_variables variable_1="time" variable_2="time"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="ion_concentrations"/>
<map_variables variable_1="F" variable_2="F"/>
<map_variables variable_1="Vmyo" variable_2="Vmyo"/>
<map_variables variable_1="Vd" variable_2="Vd"/>
<map_variables variable_1="Vt" variable_2="Vt"/>
<map_variables variable_1="Sms" variable_2="Sms"/>
<map_variables variable_1="Smt" variable_2="Smt"/>
</connection>
<connection>
<map_components component_1="SR_Ca_release_channel" component_2="ion_concentrations"/>
<map_variables variable_1="J_CaSRrel" variable_2="J_CaSRrel"/>
<map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
<map_variables variable_1="CaSRrel" variable_2="CaSRrel"/>
</connection>
<connection>
<map_components component_1="SERCA2a_pump" component_2="ion_concentrations"/>
<map_variables variable_1="J_CaSRup" variable_2="J_CaSRup"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="CaSRup" variable_2="CaSRup"/>
</connection>
<connection>
<map_components component_1="intracellular_and_SR_Ca_fluxes" component_2="ion_concentrations"/>
<map_variables variable_1="J_tr" variable_2="J_tr"/>
<map_variables variable_1="J_xfer" variable_2="J_xfer"/>
<map_variables variable_1="J_trpn" variable_2="J_trpn"/>
<map_variables variable_1="Ca_i" variable_2="Ca_i"/>
<map_variables variable_1="CaSRup" variable_2="CaSRup"/>
<map_variables variable_1="Ca_ss" variable_2="Ca_ss"/>
<map_variables variable_1="CaSRrel" variable_2="CaSRrel"/>
<map_variables variable_1="J_BTRL" variable_2="J_BTRL"/>
<map_variables variable_1="J_BTRH" variable_2="J_BTRH"/>
<map_variables variable_1="BTRLmax" variable_2="BTRLmax"/>
<map_variables variable_1="BTRHmax" variable_2="BTRHmax"/>
</connection>
<connection>
<map_components component_1="model_parameters" component_2="t_tubular_ion_fluxes"/>
<map_variables variable_1="Vt" variable_2="Vt"/>
<map_variables variable_1="Na_e" variable_2="Na_e"/>
<map_variables variable_1="Ca_e" variable_2="Ca_e"/>
<map_variables variable_1="K_e" variable_2="K_e"/>
</connection>
<connection>
<map_components component_1="ion_concentrations" component_2="t_tubular_ion_fluxes"/>
<map_variables variable_1="Jte_Na" variable_2="Jte_Na"/>
<map_variables variable_1="Jte_Ca" variable_2="Jte_Ca"/>
<map_variables variable_1="Jte_K" variable_2="Jte_K"/>
<map_variables variable_1="Na_t" variable_2="Na_t"/>
<map_variables variable_1="Ca_t" variable_2="Ca_t"/>
<map_variables variable_1="K_t" variable_2="K_t"/>
</connection>
</model>
