Model Mathematics

Component: environment

Component: membrane

i_Stim=stim_amplitudeiftime-timestim_periodstim_periodstim_starttime-timestim_periodstim_periodstim_start+stim_duration0otherwise ddtimeV=-i_K1+i_to+i_Kr+i_Ks+i_CaL+i_NaK+i_Na+i_b_Na+i_NaCa+i_b_Ca+i_p_K+i_p_Ca+i_Stim

Component: reversal_potentials

E_Na=RTFlnNa_oNa_i E_K=RTFlnK_oK_i E_Ks=RTFlnK_o+P_knaNa_oK_i+P_knaNa_i E_Ca=0.5RTFlnCa_oCa_i

Component: inward_rectifier_potassium_current

alpha_K1=0.11+0.06V-E_K-200 beta_K1=30.0002V-E_K+100+10.1V-E_K-101+-0.5V-E_K xK1_inf=alpha_K1alpha_K1+beta_K1 i_K1=g_K1xK1_infK_o5.4V-E_K

Component: rapid_time_dependent_potassium_current

i_Kr=g_KrK_o5.4Xr1Xr2V-E_K

Component: rapid_time_dependent_potassium_current_Xr1_gate

xr1_inf=11+-26-V7 alpha_xr1=4501+-45-V10 beta_xr1=61+V+3011.5 tau_xr1=1alpha_xr1beta_xr1 ddtimeXr1=xr1_inf-Xr1tau_xr1

Component: rapid_time_dependent_potassium_current_Xr2_gate

xr2_inf=11+V+8824 alpha_xr2=31+-60-V20 beta_xr2=1.121+V-6020 tau_xr2=1alpha_xr2beta_xr2 ddtimeXr2=xr2_inf-Xr2tau_xr2

Component: slow_time_dependent_potassium_current

i_Ks=g_KsXs2V-E_Ks

Component: slow_time_dependent_potassium_current_Xs_gate

xs_inf=11+-5-V14 alpha_xs=11001+-10-V6 beta_xs=11+V-6020 tau_xs=1alpha_xsbeta_xs ddtimeXs=xs_inf-Xstau_xs

Component: fast_sodium_current

i_Na=g_Nam3hjV-E_Na

Component: fast_sodium_current_m_gate

m_inf=11+-56.86-V9.032 alpha_m=11+-60-V5 beta_m=0.11+V+355+0.11+V-50200 tau_m=1alpha_mbeta_m ddtimem=m_inf-mtau_m

Component: fast_sodium_current_h_gate

h_inf=11+V+71.557.432 alpha_h=0.057-V+806.8ifV<-400otherwise beta_h=2.70.079V+3100000.3485VifV<-400.770.131+V+10.66-11.1otherwise tau_h=1alpha_h+beta_h ddtimeh=h_inf-htau_h

Component: fast_sodium_current_j_gate

j_inf=11+V+71.557.432 alpha_j=-254280.2444V-6.948e-6-0.04391VV+37.7811+0.311V+79.23ifV<-400otherwise beta_j=0.02424-0.01052V1+-0.1378V+40.14ifV<-400.60.057V1+-0.1V+32otherwise tau_j=1alpha_j+beta_j ddtimej=j_inf-jtau_j

Component: sodium_background_current

i_b_Na=g_bnaV-E_Na

Component: L_type_Ca_current

i_CaL=g_CaLdffCa4VF2RTCa_i2VFRT-0.341Ca_o2VFRT-1

Component: L_type_Ca_current_d_gate

d_inf=11+-5-V7.5 alpha_d=1.41+-35-V13+0.25 beta_d=1.41+V+55 gamma_d=11+50-V20 tau_d=1alpha_dbeta_d+gamma_d ddtimed=d_inf-dtau_d

Component: L_type_Ca_current_f_gate

f_inf=11+V+207 tau_f=1125-V+272240+80+1651+25-V10 ddtimef=f_inf-ftau_f

Component: L_type_Ca_current_fCa_gate

alpha_fCa=11+Ca_i0.0003258 beta_fCa=0.11+Ca_i-0.00050.0001 gama_fCa=0.21+Ca_i-0.000750.0008 fCa_inf=alpha_fCa+beta_fCa+gama_fCa+0.231.46 tau_fCa=2 d_fCa=fCa_inf-fCatau_fCa ddtimefCa=0iffCa_inf>fCaV>-60d_fCaotherwise

Component: calcium_background_current

i_b_Ca=g_bcaV-E_Ca

Component: transient_outward_current

i_to=g_torsV-E_K

Component: transient_outward_current_s_gate

s_inf=11+V+205 tau_s=85-V+452320+51+V-205+3 ddtimes=s_inf-stau_s

Component: transient_outward_current_r_gate

r_inf=11+20-V6 tau_r=9.5-V+4021800+0.8 ddtimer=r_inf-rtau_r

Component: sodium_potassium_pump_current

i_NaK=P_NaKK_oK_o+K_mkNa_iNa_i+K_mNa1+0.1245-0.1VFRT+0.0353-VFRT

Component: sodium_calcium_exchanger_current

i_NaCa=K_NaCagammaVFRTNa_i3Ca_o-gamma-1VFRTNa_o3Ca_ialphaKm_Nai3+Na_o3Km_Ca+Ca_o1+K_satgamma-1VFRT

Component: calcium_pump_current

i_p_Ca=g_pCaCa_iCa_i+K_pCa

Component: potassium_pump_current

i_p_K=g_pKV-E_K1+25-V5.98

Component: calcium_dynamics

i_rel=a_relCa_SR2b_rel2+Ca_SR2+c_reldg i_up=Vmax_up1+K_up2Ca_i2 i_leak=V_leakCa_SR-Ca_i g_inf=11+Ca_i0.000356ifCa_i<0.0003511+Ca_i0.0003516otherwise d_g=g_inf-gtau_g ddtimeg=0ifg_inf>gV>-60d_gotherwise ddt_Ca_i_total=-i_CaL+i_b_Ca+i_p_Ca-2i_NaCa2V_cFCm+i_leak-i_up+i_rel ddt_Ca_sr_total=V_cV_sri_up-i_rel+i_leak f_JCa_i_free=11+Buf_cK_buf_cCa_i+K_buf_c2 f_JCa_sr_free=11+Buf_srK_buf_srCa_SR+K_buf_sr2 ddtimeCa_i=ddt_Ca_i_totalf_JCa_i_free ddtimeCa_SR=ddt_Ca_sr_totalf_JCa_sr_free

Component: sodium_dynamics

ddtimeNa_i=-i_Na+i_b_Na+3i_NaK+3i_NaCaCmV_cF

Component: potassium_dynamics

ddtimeK_i=-i_K1+i_to+i_Kr+i_Ks+i_p_K+i_Stim-2i_NaKCmV_cF