Model Mathematics

Component: main

k_fca=0ifx_fca_inf_inact>X_fca_inactv>-601otherwise v_clamp=v E_K=RTFlnKoKi g_k1=var_1 i_k1=g_k1Ko5.4x_inf_act_Ik1v-E_K ddtX_kr_act=x_inf_act-X_kr_acttau_kr_act ddtX_kr_inact=x_inf_inact-X_kr_inacttau_kr_inact g_Kr=Xr1_0 i_Kr=g_KrKo5.4X_kr_actX_kr_inactv-E_K ddtX_ks_act=x_ks_inf_act-X_ks_acttau_ks_act g_Ks=ks_0 i_Ks=g_KsX_ks_act2v-E_K ddtX_to_act=x_to_inf_act-X_to_acttau_to_act ddtX_to_inact=x_to_inf_inact-X_to_inacttau_to_inact g_to=r_0 i_to=g_toX_to_actX_to_inactv-E_K ddtX_ca_act=x_ca_inf_act-X_ca_acttau_ca_act ddtX_ca_inact=x_ca_inf_inact-X_ca_inacttau_ca_inact ddtX_fca_inact=k_fcax_fca_inf_inact-X_fca_inacttau_fca p_CaL=d_0 p_CaL_shannonTot=p_CaL_shannonCa+p_CaL_shannonNa+p_CaL_shannonK p_CaL_shannonCap=p_CaL_shannonCap_CaL_shannonTot p_CaL_shannonNap=p_CaL_shannonNap_CaL_shannonTot p_CaL_shannonKp=p_CaL_shannonKp_CaL_shannonTot p_CaL_Ca=p_CaL_shannonCapp_CaL p_CaL_Na=p_CaL_shannonNapp_CaL p_CaL_K=p_CaL_shannonKpp_CaL ibarca=p_CaL_Ca4.0vF2RT0.341ca_i2.0vFRT-0.341Cao2.0vFRT-1.0 i_CaL_Ca=ibarcaX_ca_actX_ca_inactX_fca_inact ibarna=p_CaL_NavF2RT0.75Na_i2.0vFRT-0.75Nao2.0vFRT-1.0 i_CaL_Na=ibarnaX_ca_actX_ca_inactX_fca_inact ibark=p_CaL_KvF2RT0.75Ki2.0vFRT-0.75Ko2.0vFRT-1.0 i_CaL_K=ibarkX_ca_actX_ca_inactX_fca_inact i_CaL=i_CaL_Ca+i_CaL_Na+i_CaL_K ddtX_cat_act=x_cat_inf_act-X_cat_acttau_cat_act ddtX_cat_inact=x_cat_inf_inact-X_cat_inacttau_cat_inact i_cat=g_catX_cat_actX_cat_inactv-E_Ca E_Ca=0.5RTFlnCaoca_i E_Na=RTFlnNaoNa_i ddtX_na_h_inact=x_na_h_inf_inact-X_na_h_inacttau_na_h_inact ddtX_na_m_act=x_na_m_inf_act-X_na_m_acttau_na_m_act ddtX_na_j_inact=x_na_j_inf_inact-X_na_j_inacttau_na_j_inact i_na=g_NaX_na_m_act3X_na_h_inactX_na_j_inactv-E_Na ddtX_f_act=x_f_inf_act-X_f_acttau_f_act Na_frac=NatoK_ratioNatoK_ratio+1 i_fNa=Na_fracg_fX_f_actv-E_Na i_fK=1-Na_fracg_fX_f_actv-E_K i_f=i_fNa+i_fK i_naca=kNaCagammavFRTNa_i3.0Cao-gamma-1.0vFRTNao3ca_ialphaKmNai3.0+Nao3KmCa+Cao1.0+Ksatgamma-1.0vFRT i_nak=PNaKKoNa_iKo+Km_KNa_i+Km_Na1.0+0.1245-0.1vFRT+0.0353-vFRT i_up=VmaxUp1.0+Kup2ca_i2 j_leak=ca_SR-ca_iV_leak kCaSR=MaxSR-MaxSR-MinSR1+ec50SRca_SR2.5 koSRCa=koCakCaSR kiSRCa=kiCakCaSR CI=1-C-O-I ddtC=kimCI-kiSRCaca_iC-koSRCaca_i2C-komO ddtO=koSRCaca_i2C-komO-kiSRCaca_iO-kimI ddtI=kiSRCaca_iO-kimI-komI-koSRCaca_i2CI j_rel=ksOca_SR-ca_iV_SRVc i_b_Na=g_b_Nav-E_Na i_b_Ca=g_b_Cav-E_Ca i_PCa=g_PCaca_ica_i+KPCa Ca_SR_bufSR=11+Buf_SRKbuf_SRca_SR+Kbuf_SR2 ddtca_SR=Ca_SR_bufSRVcV_SRi_up-j_rel+j_leak Cai_buf=11.0+Buf_CKbuf_Cca_i+Kbuf_C2 ddtca_ligand=0 ddtca_i=Cai_bufj_leak-i_up+j_rel-ca_ligand-i_CaL_Ca+i_cat+i_b_Ca+i_PCa-2i_naca1Cm2VcF ddtNa_i=-Cmi_na+i_b_Na+i_fNa+3i_nak+3i_naca+i_CaL_NaFVc ddtKi=-Cmi_k1+i_to+i_Kr+i_Ks+i_fK-2i_nak+i_CaL_KFVc i_voltageclamp=v_clamp-vR_clamp ddtv=-i_k1+i_to+i_Kr+i_Ks+i_CaL+i_cat+i_nak+i_na+i_naca+i_PCa+i_f+i_b_Na+i_b_Ca-i_stim-i_voltageclamp

Component: parameter

V_tot_tenT=Vc_tenT+VSR_tenT Vc=V_totVc_tenTV_tot_tenT V_SR=V_totVSR_tenTV_tot_tenT

Component: parameter_Ik1

Component: gating_Ik1

alpha_act=var_2v+var_4var_3 beta_act=v+var_6var_5 x_inf_act_Ik1=alpha_actalpha_act+beta_act

Component: parameter_Ikr

Component: gating_Ikr

Xr1_3=Xr1_5Xr1_1 Xr2_3=Xr2_5Xr2_1 Xr1_4=11Xr1_2+1Xr1_6 Xr2_4=11Xr2_2+1Xr2_6 alpha_act=Xr1_1vXr1_2 beta_act=Xr1_3vXr1_4 x_inf_act=alpha_actalpha_act+beta_act tau_kr_act=1alpha_act+beta_act+Xr1_7 alpha_inact=Xr2_1vXr2_2 beta_inact=Xr2_3vXr2_4 x_inf_inact=alpha_inactalpha_inact+beta_inact tau_kr_inact=1alpha_inact+beta_inact+Xr2_7

Component: parameter_Iks

Component: gating_Iks

ks_3=ks_5ks_1 ks_4=11ks_2+1ks_6 alpha_act=ks_1vks_2 beta_act=ks_3vks_4 x_ks_inf_act=alpha_actalpha_act+beta_act tau_ks_act=1alpha_act+beta_act+tau_ks_const

Component: parameter_Ito

Component: gating_Ito

r_3=r_5r_1 s_3=s_5s_1 r_4=11r_2+1r_6 s_4=11s_2+1s_6 alpha_act=r_1vr_2 beta_act=r_3vr_4 x_to_inf_act=alpha_actalpha_act+beta_act tau_to_act=1alpha_act+beta_act+tau_r_const alpha_inact=s_1vs_2 beta_inact=s_3vs_4 x_to_inf_inact=alpha_inactalpha_inact+beta_inact tau_to_inact=1alpha_inact+beta_inact+tau_s_const

Component: parameter_Ica

Component: gating_Ica

d_3=d_5d_1 f_3=f_5f_1 d_4=11d_2+1d_6 f_4=11f_2+1f_6 alpha_act=d_1vd_2 beta_act=d_3vd_4 x_ca_inf_act=alpha_actalpha_act+beta_act tau_ca_act=1alpha_act+beta_act+tau_d_const alpha_inact=f_1vf_2 beta_inact=f_3vf_4 x_ca_inf_inact=alpha_inactalpha_inact+beta_inact tau_ca_inact=1alpha_inact+beta_inact+tau_f_const scale_Ical_Fca_Cadep=1.2 alpha_fCa=1.01.0+scale_Ical_Fca_Cadepca_i.0003258 beta_fCa=0.11.0+scale_Ical_Fca_Cadepca_i-.00050.0001 gamma_fCa=0.21.0+scale_Ical_Fca_Cadepca_i-0.000750.0008 x_fca_inf_inact=alpha_fCa+beta_fCa+gamma_fCa+0.231.46

Component: gating_Icat

x_cat_inf_act=11+-v+26.36 tau_cat_act=11.068v+26.330+1.068-v+26.330 x_cat_inf_inact=11+v+61.75.6 tau_cat_inact=10.0153-v+61.783.3+0.015v+61.715.38

Component: parameter_Ina

Component: gating_Ina

m_3=m_5m_1 h_3=h_5h_1 j_3=j_5j_1 m_4=11m_2+1m_6 h_4=11h_2+1h_6 j_4=11j_2+1j_6 j_5=h_5 j_6=h_6 alpha_m_act=m_1vm_2 beta_m_act=m_3vm_4 x_na_m_inf_act=alpha_m_actalpha_m_act+beta_m_act tau_na_m_act=1alpha_m_act+beta_m_act+tau_m_const alpha_h_inact=h_1vh_2 beta_h_inact=h_3vh_4 x_na_h_inf_inact=alpha_h_inactalpha_h_inact+beta_h_inact tau_na_h_inact=1alpha_h_inact+beta_h_inact+tau_h_const alpha_j_inact=j_1vj_2 beta_j_inact=j_3vj_4 x_na_j_inf_inact=alpha_j_inactalpha_j_inact+beta_j_inact tau_na_j_inact=1alpha_j_inact+beta_j_inact+tau_j_const

Component: parameter_If

Component: gating_If

xf_3=xf_5xf_1 xf_4=11xf_2+1xf_6 alpha_act=xf_1vxf_2 beta_act=xf_3vxf_4 x_f_inf_act=alpha_actalpha_act+beta_act tau_f_act=1alpha_act+beta_act+xf_const