Model Mathematics

Component: environment

Component: cell

I_st=stim_amplitudeiftimestim_starttimestim_endtime-stim_start-time-stim_startstim_periodstim_periodstim_duration0otherwise dVdt=-i_Na+i_Ca_L+i_Ca_T+i_Kr+i_Ks+i_K_Na+i_K1+i_K_ATP+i_to+i_Kp+i_NaCa+i_p_Ca+i_Na_b+i_Ca_b+i_NaK+i_ns_Ca+I_st ddtimeV=dVdt

Component: id_00002

E_Na=RTFlnNaoNai i_Na=g_Nam3hjV-E_Na

Component: id_00005

E0_m=V+47.13 alpha_m=0.32E0_m1--0.1E0_m beta_m=0.08-V11 ddtimem=alpha_m1-m-beta_mm

Component: id_00006

alpha_h=0.13580+V-6.8ifV<-400otherwise beta_h=3.560.079V+3100000.35VifV<-4010.131+V+10.66-11.1otherwise ddtimeh=alpha_h1-h-beta_hh

Component: id_00007

alpha_j=-1271400.2444V+3.474e-5-0.04391VV+37.781+0.311V+79.23ifV<-400otherwise beta_j=0.1212-0.01052V1+-0.1378V+40.14ifV<-400.3-2.535e-7V1+-0.1V+32otherwise ddtimej=alpha_j1-j-beta_jj

Component: id_00046

I_CaCa=P_Ca22VF2RTgamma_CaiCai2VFRT-gamma_CaoCao2VFRT-1 I_CaNa=P_Na12VF2RTgamma_NaiNai1VFRT-gamma_NaoNao1VFRT-1 I_CaK=P_K12VF2RTgamma_KiKi1VFRT-gamma_KoKo1VFRT-1 i_CaCa=dff_CaI_CaCa i_CaNa=dff_CaI_CaNa i_CaK=dff_CaI_CaK i_Ca_L=i_CaCa+i_CaK+i_CaNa

Component: id_00053

E0_d=V+10 d_infinity=11+-E0_d6.24 tau_d=1d_infinity1--E0_d6.240.035E0_d alpha_d=d_infinitytau_d beta_d=1-d_infinitytau_d ddtimed=alpha_d1-d-beta_dd

Component: id_00054

f_infinity=11+V+328+0.61+50-V20 tau_f=10.0197-0.0337V+102+0.02 alpha_f=f_infinitytau_f beta_f=1-f_infinitytau_f ddtimef=alpha_f1-f-beta_ff

Component: id_00055

f_Ca=11+CaiKm_Ca

Component: id_00056

i_Ca_T=g_CaTbbgV-E_Ca

Component: id_00059

b_inf=1.1.+-V+50.5. tau_b=5.1.068V+16.330.+1.068-V+16.330. ddtimeb=b_inf-btau_b

Component: id_00060

g_inf=1.1.+V+61.5. tau_g=5.0.015-V+71.783.3+0.015V+71.715.4 ddtimeg=g_inf-gtau_g

Component: id_00017

g_Kr=G_KrKo5.4 Rect=11+V+922.4 i_Kr=g_KrxrRectV-E_K

Component: id_00021

xr_infinity=11+-V+21.57.5 tau_xr=10.00138V+14.21--0.123V+14.2+0.00061V+38.90.145V+38.9-1 ddtimexr=xr_infinity-xrtau_xr

Component: id_00022

E_Ks=RTFlnKo+PNaKNaoKi+PNaKNai g_Ks=G_Ks1+0.61+3.8e-5Cai1.4 i_Ks=g_Ksxs1xs2V-E_Ks

Component: id_00026

xs1_infinity=11+-V-1.516.7 tau_xs1=17.19e-5V+301--0.148V+30+0.000131V+300.0687V+30-1 ddtimexs1=xs1_infinity-xs1tau_xs1

Component: id_00027

xs2_infinity=11+-V-1.516.7 tau_xs2=47.19e-5V+301--0.148V+30+0.000131V+300.0687V+30-1 ddtimexs2=xs2_infinity-xs2tau_xs2

Component: id_00028

g_K_ATP=i_K_ATP_on0.000193nicholsarea pATP=11+ATPikATPhATP GKbaraATP=g_K_ATPpATPKo4nATP i_K_ATP=GKbaraATPV-E_K

Component: id_00096

g_to=00.5 rvdv=V100 i_to=g_tozdv3ydvrvdvV-E_K

Component: id_00099

alpha_zdv=10V-40251+V-4025 beta_zdv=10-V+90251+-V+9025 tau_zdv=1alpha_zdv+beta_zdv zdv_ss=alpha_zdvalpha_zdv+beta_zdv ddtimezdv=zdv_ss-zdvtau_zdv

Component: id_00100

alpha_ydv=0.0151+V+605 beta_ydv=0.1V+2551+V+255 tau_ydv=1alpha_ydv+beta_ydv ydv_ss=alpha_ydvalpha_ydv+beta_ydv ddtimeydv=ydv_ss-ydvtau_ydv

Component: id_00040

g_K1=G_K1Ko5.4 E_K=RTFlnKoKi i_K1=g_K1K1_infinityV-E_K

Component: id_00039

alpha_K1=1.021+0.2385V-E_K-59.215 beta_K1=10.491240.08032V-E_K+5.476+0.06175V-E_K-594.311+-0.5143V-E_K+4.753 K1_infinity=alpha_K1alpha_K1+beta_K1

Component: id_00029

Kp=11+7.488-V5.98 i_Kp=g_KpKpV-E_K

Component: id_00101

pona=0.851+kdKNaNainKNa pov=0.8-0.651+V+12515 i_K_Na=g_K_NaponapovV-E_K

Component: id_00084

i_p_Ca=I_pCaCaiK_mpCa+Cai

Component: id_00008

i_Na_b=g_NabV-E_Na

Component: id_00063

E_Ca=RT2FlnCaoCai i_Ca_b=g_CabV-E_Ca

Component: id_00079

sigma=17Nao67.3-1 f_NaK=11+0.1245-0.1VFRT+0.0365sigma-VFRT i_NaK=I_NaKf_NaK1+K_mNaiNai21+K_mKoKo

Component: id_00072

P_ns_Ca=1.75e-7 I_ns_Na=P_ns_Ca12VF2RTgamma_NaiNai1VFRT-gamma_NaoNao1VFRT-1 I_ns_K=P_ns_Ca12VF2RTgamma_KiKi1VFRT-gamma_KoKo1VFRT-1 i_ns_Na=I_ns_Na11+K_m_ns_CaCai3 i_ns_K=I_ns_K11+K_m_ns_CaCai3 i_ns_Ca=i_ns_Na+i_ns_K

Component: id_00087

i_NaCa=c1gamma-1VFRTVFRTNai3Cao-Nao3Cai1+c2gamma-1VFRTVFRTNai3Cao+Nao3Cai

Component: id_00092

bjsr=CSQN_max+K_mCSQN+-JSR cjsr=K_mCSQNJSR Ca_JSR=bjsr2+4cjsr-bjsr2 bmyo=CMDN_max+TRPN_max+K_mCMDN+K_mTRPN+-CaT cmyo=K_mCMDNK_mTRPN+TRPN_maxK_mCMDN+CMDN_maxK_mTRPN+-CaTK_mTRPN+K_mCMDN dmyo=-K_mTRPNK_mCMDNCaT Cai=23bmyo2-3cmyocosarccos9bmyocmyo-2bmyo3+27dmyo2bmyo2-3cmyo33-bmyo3 i_up=I_upCaiCai+K_mup K_leak=I_upCa_NSR_max i_leak=K_leakNSR i_tr=NSR-Ca_JSRtau_tr ddtimeJSR=i_tr-i_rel ddtimeNSR=-i_trV_JSRV_NSR-i_leak+i_up ddtimeCaT=-1A_capi_CaCa+i_Ca_T+i_p_Ca+i_Ca_b+-2i_NaCa2V_myoF+i_relV_JSRV_myo+i_leak-i_upV_NSRV_myo

Component: id_00066

alpha_rel=kappatau I_relss=i_CaCaalpha_rel1+K_relssCa_JSRqn tau_rel=tau1+0.0123Ca_JSR ddtimei_rel=-I_relss+i_reltau_rel

Component: id_00093

ddtimeNai=-1i_Na+i_CaNa+i_Na_b+i_ns_Na+i_NaCa3+i_NaK3A_capV_myoF ddtimeKi=-1I_st+i_CaK+i_Kr+i_Ks+i_K1+i_K_ATP+i_to+i_Kp+i_K_Na+i_ns_K+-i_NaK2A_capV_myoF

Component: geometry

volume=πpreplengthradius2 V_myo=0.68volume V_JSR=0.0048volume V_NSR=0.0552volume

Component: transmembrane_currents

Component: intracellular_currents

Component: Ions_n_reversal_potentials