Model Mathematics

Component: buffca

Bmax_SLhighjn=0.00165VmyoVjn0.1 Bmax_SLhighsl=VmyoVsl0.0134 Bmax_SLlowjn=0.0046VmyoVjn0.1 Bmax_SLlowsl=VmyoVsl0.0374 Bmax_SR=19.00.0009 ddtimeCaM=kon_camCa_iBmax_CaM-CaM-koff_camCaM J_CaB_cytosol=ddtimeTnCL+ddtimeTnCHc+ddtimeTnCHm+ddtimeCaM+ddtimeMyoc+ddtimeMyom+ddtimeSRB J_CaB_jn=ddtimeSLL_jn+ddtimeSLH_jn J_CaB_sl=ddtimeSLL_sl+ddtimeSLH_sl ddtimeMyoc=kon_myocaCa_iBmax_myosin-Myoc-Myom-koff_myocaMyoc ddtimeMyom=kon_myomgMg_iBmax_myosin-Myoc-Myom-koff_myomgMyom ddtimeSLH_jn=kon_slhCa_jnBmax_SLhighjn-SLH_jn-koff_slhSLH_jn ddtimeSLH_sl=kon_slhCa_slBmax_SLhighsl-SLH_sl-koff_slhSLH_sl ddtimeSLL_jn=kon_sllCa_jnBmax_SLlowjn-SLL_jn-koff_sllSLL_jn ddtimeSLL_sl=kon_sllCa_slBmax_SLlowsl-SLL_sl-koff_sllSLL_sl ddtimeSRB=kon_srCa_iBmax_SR-SRB-koff_srSRB ddtimeTnCHc=kon_tnchcaCa_iBmax_TnChigh-TnCHc-TnCHm-koff_tnchcaTnCHc ddtimeTnCHm=kon_tnchmgMg_iBmax_TnChigh-TnCHc-TnCHm-koff_tnchmgTnCHm ddtimeTnCL=kon_tnclCa_iBmax_TnClow-TnCL-koff_tnclTnCL

Component: buffna

ddtimeNaB_jn=kon_naNa_jnBmax_Na_jn-NaB_jn-koff_naNaB_jn ddtimeNaB_sl=kon_naNa_slBmax_Na_sl-NaB_sl-koff_naNaB_sl

Component: calcium

Bmax_Csqn=VmyoVsr0.14 ddtimeCa_i=-J_sercaVsrVmyo-J_CaB_cytosol+JCa_slmyoVmyoCa_sl-Ca_i ddtimeCa_jn=-ICa_tot_jnCVjn2.0F+JCa_jnslVjnCa_sl-Ca_jn-J_CaB_jn+J_SRCarelVsrVjn+J_SRleakVmyoVjn ddtimeCa_sl=-ICa_tot_slCVsl2.0F+JCa_jnslVslCa_jn-Ca_sl+JCa_slmyoVslCa_i-Ca_sl-J_CaB_sl ddtimeCa_sr=J_serca-J_SRleakVmyoVsr+J_SRCarel-ddtimeCsqn ddtimeCsqn=kon_csqnCa_srBmax_Csqn-Csqn-koff_csqnCsqn ICa_tot_jn=ICaL_Ca_jn+ICaB_jn+IpCa_jn-2.0INaCa_jn ICa_tot_sl=ICaL_Ca_sl+ICaB_sl+IpCa_sl-2.0INaCa_sl JCa_jnsl=1.0 1.21340000000000000e+12 JCa_slmyo=1.0 2.68510000000000000e+11

Component: cell

Component: engine

Component: geom

Vcell=picell_radius2.0cell_length1e-15 Vjn=0.05390.01Vcell Vmyo=0.65Vcell Vsl=0.02Vcell Vsr=0.035Vcell

Component: icab

ICaB=ICaB_jn+ICaB_sl ICaB_jn=FjngCaBV-ECa_jn ICaB_sl=FslgCaBV-ECa_sl

Component: ical

ICaL=ICaL_Ca+ICaL_Na+ICaL_K ICaL_Ca=ICaL_Ca_jn+ICaL_Ca_sl ICaL_Ca_jn=Fjn_CaLibarca_jndf1.0-fCaB_jn+fcaCajQ10CaLQ0.45 ICaL_Ca_sl=Fsl_CaLibarca_sldf1.0-fCaB_sl+fcaCaMSLQ10CaLQ0.45 ICaL_K=ibarkdfFjn_CaLfcaCaj+1.0-fCaB_jn+Fsl_CaLfcaCaMSL+1.0-fCaB_slQ10CaLQ0.45 ICaL_Na=ICaL_Na_jn+ICaL_Na_sl ICaL_Na_jn=Fjn_CaLibarna_jndf1.0-fCaB_jn+fcaCajQ10CaLQ0.45 ICaL_Na_sl=Fsl_CaLibarna_sldf1.0-fCaB_sl+fcaCaMSLQ10CaLQ0.45 ddtimed=ical_d_inf-dical_d_tau ddtimef=ical_f_inf-fical_f_tau ddtimefCaB_jn=1.7Ca_jn1.0-fCaB_jn-0.0119fCaB_jn1.0 ddtimefCaB_sl=1.7Ca_sl1.0-fCaB_sl-0.0119fCaB_sl1.0 ibarca_jn=pCa4.0VFFRT0.341Ca_jn2.0VFRT-0.341Ca_o2.0VFRT-1.0 ibarca_sl=pCa4.0VFFRT0.341Ca_sl2.0VFRT-0.341Ca_o2.0VFRT-1.0 ibark=pKVFFRT0.75K_iVFRT-0.75K_oVFRT-1.0 ibarna_jn=pNaVFFRT0.75Na_jnVFRT-0.75Na_oVFRT-1.0 ibarna_sl=pNaVFFRT0.75Na_slVFRT-0.75Na_oVFRT-1.0 ical_d_inf=1.01.0+-V+9.06.0 ical_d_tau=ical_d_inf1.0--V+9.06.00.035V+9.0 ical_f_inf=1.01.0+V+30.07.0+0.21.0+50.0-V20.0 ical_f_tau=1.00.0197-0.0337V+25.02.0+0.02 pCa=1.0-0.5AF0.00027 pK=1.0-0.5AF1.35e-07 pNa=1.0-0.5AF7.5e-09

Component: iclb

IClB=gClBV-ECl

Component: iclca

IClCa=IClCa_jn+IClCa_sl IClCa_jn=FjngClCa1.0+KdClCaCa_jnV-ECl IClCa_sl=FslgClCa1.0+KdClCaCa_slV-ECl

Component: ik1

IK1=IK1_FactgK1infV-EK Na_observed=Na_sl a_fact=0.1+0.91.0+Na_observed7.02.0 gK1=1.0+AFK_o5.40.0525 ik1_inf_a=a_fact1.01.0+0.2385V-EK-59.215 ik1_inf_b=1.00.491240.08032V-EK+5.476+0.06175V-EK-594.311.0+-0.5143V-EK+4.753 inf=ik1_inf_aik1_inf_a+ik1_inf_b

Component: ikach

Act=Constitutive_Frac+1.0-Constitutive_FracCChCCh+0.125 IKACh=gKAChNa_depAct0.055+0.41.0+V-EK+9.5317.18V-EKK_o5.4 Na_dep=1.0+1.51.0+9.0Na_observed4.0ifAF<1.01.0otherwise Na_observed=Na_sl gKACh=0.1-0.05AF

Component: ikp

IKp=IKp_jn+IKp_sl IKp_jn=FjngKpkpV-EK IKp_sl=FslgKpkpV-EK kp=1.01.0+7.488-V5.98

Component: ikr

IKr=gKrxrV-EK gKr=0.035K_o5.4 ikr_x_inf=1.01.0+-V+10.05.0 ikr_x_tau=+550.01.0+-22.0-V9.06.01.0+V+11.09.0+230.01.0+V+40.020.0 r=1.01.0+V+74.024.0 ddtimex=ikr_x_inf-xikr_x_tau

Component: iks

EKs=1.0FRTlnK_o+pNaKNa_oK_i+pNaKNa_i IKs=IKs_jn+IKs_sl IKs_jn=FjngKs_jnx2.0V-EKs IKs_sl=FslgKs_slx2.0V-EKs gKs_jn=1.0+AF0.0035 gKs_sl=1.0+AF0.0035 iks_x_inf=1.01.0+-V+3.814.25 iks_x_tau=990.11.0+-V+2.43614.12 ddtimex=iks_x_inf-xiks_x_tau

Component: ikur

IKur=gKurrsV-EK gKur=1.0-0.5AF0.045 ikur_r_inf=1.01.0+V+6.0-8.6 ikur_r_tau=9.01.0+V+5.012.0+0.5 ikur_s_inf=1.01.0+V+7.510.0 ikur_s_tau=590.01.0+V+60.010.0+3050.0 ddtimer=ikur_r_inf-rikur_r_tau ddtimes=ikur_s_inf-sikur_s_tau

Component: ina

INa=INa_jn+INa_sl INa_jn=FjngNam3.0hjV-ENa_jn INa_sl=FslgNam3.0hjV-ENa_sl ddtimeh=ina_h_inf-hina_h_tau ina_h_alpha=0.135V+80.0-6.8ifV<-40.00.0otherwise ina_h_beta=3.560.079V+310000.00.35VifV<-40.01.00.131.0+V+10.66-11.1otherwise ina_h_inf=ina_h_alphaina_h_alpha+ina_h_beta ina_h_tau=1.0ina_h_alpha+ina_h_beta ina_j_alpha=-127140.00.2444V-3.474e-05-0.04391VV+37.781.0+0.311V+79.23ifV<-40.00.0otherwise ina_j_beta=0.1212-0.01052V1.0+-0.1378V+40.14ifV<-40.00.3-2.535e-07V1.0+-0.1V+32.0otherwise ina_j_inf=ina_j_alphaina_j_alpha+ina_j_beta ina_j_tau=1.0ina_j_alpha+ina_j_beta ina_m_alpha=3.2ifV=-47.130.32V+47.131.0--0.1V+47.13otherwise ina_m_beta=0.08-V11.0 ina_m_inf=ina_m_alphaina_m_alpha+ina_m_beta ina_m_tau=1.0ina_m_alpha+ina_m_beta ddtimej=ina_j_inf-jina_j_tau ddtimem=ina_m_inf-mina_m_tau

Component: inab

INaB=INaB_jn+INaB_sl INaB_jn=FjngNaBV-ENa_jn INaB_sl=FslgNaBV-ENa_sl

Component: inaca

INaCa=INaCa_jn+INaCa_sl INaCa_jn=FjnIbarNCXQ10NCXQKa_jninaca_INaCa_jn_s1-inaca_INaCa_jn_s2inaca_INaCa_jn_s31.0+ksatnu-1.0VFRT INaCa_sl=FslIbarNCXQ10NCXQKa_slinaca_INaCa_sl_s1-inaca_INaCa_sl_s2inaca_INaCa_sl_s31.0+ksatnu-1.0VFRT IbarNCX=1.0+0.4AF3.15 Ka_jn=1.01.0+KdactCa_jn2.0 Ka_sl=1.01.0+KdactCa_sl2.0 inaca_INaCa_jn_s1=nuVFRTNa_jn3.0Ca_o inaca_INaCa_jn_s2=nu-1.0VFRTNa_o3.0Ca_jn inaca_INaCa_jn_s3=KmCaiNa_o3.01.0+Na_jnKmNai3.0+KmNao3.0Ca_jn1.0+Ca_jnKmCai+KmCaoNa_jn3.0+Na_jn3.0Ca_o+Na_o3.0Ca_jn inaca_INaCa_sl_s1=nuVFRTNa_sl3.0Ca_o inaca_INaCa_sl_s2=nu-1.0VFRTNa_o3.0Ca_sl inaca_INaCa_sl_s3=KmCaiNa_o3.01.0+Na_slKmNai3.0+KmNao3.0Ca_sl1.0+Ca_slKmCai+KmCaoNa_sl3.0+Na_sl3.0Ca_o+Na_o3.0Ca_sl

Component: inak

INaK=INaK_jn+INaK_sl INaK_jn=FjnIbarNaKfnakK_o1.0+KmNaipNa_jn4.0K_o+KmKo INaK_sl=FslIbarNaKfnakK_o1.0+KmNaipNa_sl4.0K_o+KmKo fnak=1.01.0+0.1245-0.1VFRT+0.0365sigma-VFRT sigma=Na_o67.3-1.07.0

Component: inal

INaL=INaL_jn+INaL_sl INaL_jn=FjngNaLml3.0hlV-ENa_jn INaL_sl=FslgNaLml3.0hlV-ENa_sl gNaL=0.0025AF ddtimehl=inal_hl_inf-hlinal_hl_tau inal_hl_inf=1.01.0+V+91.06.1 inal_ml_a=0.32V+47.131.0--0.1V+47.13 inal_ml_b=0.08-V11.0 ddtimeml=inal_ml_a1.0-ml-inal_ml_bml

Component: ion

Component: ipca

IpCa=IpCa_jn+IpCa_sl IpCa_jn=FjnQ10SLCaPQIbarSLCaPipca_IpCa_jn_aipca_IpCa_jn_a+b IpCa_sl=FslQ10SLCaPQIbarSLCaPipca_IpCa_sl_aipca_IpCa_sl_a+b b=KmPCa1.01.6 ipca_IpCa_jn_a=Ca_jn1.01.6 ipca_IpCa_sl_a=Ca_sl1.01.6

Component: ito

Ito=gtoxyV-EK gto=1.0-0.7AF0.165 ito_x_inf=1.01.0+-V+1.011.0 ito_x_tau=3.5-V30.02.0+1.5 ito_y_inf=1.01.0+V+40.511.5 ito_y_tau=25.635-V+52.4515.88272.0+24.14 ddtimex=ito_x_inf-xito_x_tau ddtimey=ito_y_inf-yito_y_tau

Component: junc

Fsl=1.0-Fjn Fsl_CaL=1.0-Fjn_CaL

Component: membrane

ICa_tot=ICa_tot_jn+ICa_tot_sl ICl_tot=IClCa+IClB INa_tot=INa_tot_jn+INa_tot_sl I_tot=INa_tot+ICl_tot+ICa_tot+IK_tot ddtimeV=-I_tot+I_stim

Component: nernst

ECa_jn=1.0FRT2.0lnCa_oCa_jn ECa_sl=1.0FRT2.0lnCa_oCa_sl ECl=1.0FRTlnCl_iCl_o EK=1.0FRTlnK_oK_i ENa_jn=1.0FRTlnNa_oNa_jn ENa_sl=1.0FRTlnNa_oNa_sl

Component: phys

FRT=FRT Q=T-310.010.0

Component: potassium

IK_tot=Ito+IKr+IKs+IK1-2.0INaK+ICaL_K+IKp+IKur+IKACh ddtimeK_i=0.0

Component: ryr

J_SRCarel=ksoCa_sr-Ca_jn J_SRleak=1.0+0.25AFCa_sr-Ca_jn5.348e-06 J_serca=Q10SRCaPQVmax_SRCaPCa_iKmfhillSRCaP-Ca_srKmrhillSRCaP1.0+Ca_iKmfhillSRCaP+Ca_srKmrhillSRCaP Kmf=2.50.000246 RI=1.0-r-o-i ddtimei=kiSRCaCa_jno-kimi-komi-koSRCaCa_jn2.0RI kCaSR=MaxSR-MaxSR-MinSR1.0+ec50SRCa_sr2.5 kiSRCa=kiCakCaSR koCa=10.0+20.0AF1.0 koSRCa=koCakCaSR ddtimeo=koSRCaCa_jn2.0r-komo-kiSRCaCa_jno-kimi ddtimer=kimRI-kiSRCaCa_jnr-koSRCaCa_jn2.0r-komo

Component: sodium

INa_tot_jn=INa_jn+INaB_jn+3.0INaCa_jn+3.0INaK_jn+ICaL_Na_jn+INaL_jn INa_tot_sl=INa_sl+INaB_sl+3.0INaCa_sl+3.0INaK_sl+ICaL_Na_sl+INaL_sl JNa_jnsl=1.0 1.63820000000000000e+123.0100.0 JNa_slmyo=1.0 1.83080000000000000e+103.0100.0 ddtimeNa_i=JNa_slmyoVmyoNa_sl-Na_i ddtimeNa_jn=-INa_tot_jnCVjnF+JNa_jnslVjnNa_sl-Na_jn-ddtimeNaB_jn ddtimeNa_sl=-INa_tot_slCVslF+JNa_jnslVslNa_jn-Na_sl+JNa_slmyoVslNa_i-Na_sl-ddtimeNaB_sl

Component: stimulus

I_stim=1.0iftime-offset-periodtime-offsetperiod<duration0.0otherwiseamplitude amplitude=-90.0
Source
Derived from workspace Voigt, Heijman et al. 2013 human atrial AP model at changeset d163c98c4971.
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