Model Mathematics

Component: environment

Component: membrane

i_Stim=stim_amplitudeiftimestim_starttimestim_endtime-stim_start-time-stim_startstim_periodstim_periodstim_duration0otherwise ddtimeV=-i_Na+i_Ca+i_CaK+i_Kr+i_Ks+i_to+i_K1+i_Kp+i_NaCa+i_NaK+i_p_Ca+i_Na_b+i_Ca_b+i_Stim

Component: fast_sodium_current

E_Na=RTFlnNa_oNa_i i_Na=g_Nam3hjV-E_Na

Component: fast_sodium_current_m_gate

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: fast_sodium_current_h_gate

alpha_h=0.135V+80-shift_h-6.8 beta_h=7.51+-0.1V+11-shift_h ddtimeh=alpha_h1-h-beta_hh

Component: fast_sodium_current_j_gate

alpha_j=0.175V+100-shift_j-231+0.15V+79-shift_j beta_j=0.31+-0.1V+32-shift_j ddtimej=alpha_j1-j-beta_jj

Component: time_independent_potassium_current

i_K1=g_K1K1_infinityK_oK_o+K_mK1V-E_K

Component: time_independent_potassium_current_K1_gate

K1_infinity=12+1.62FRTV-E_K

Component: rapid_activating_delayed_rectifiyer_K_current

E_K=RTFlnK_oK_i R_V=11+2.50.1V+28 i_Kr=g_KrR_VX_krK_o4V-E_K

Component: rapid_activating_delayed_rectifiyer_K_current_X_kr_gate

X_kr_inf=11+-2.182-0.1819V tau_X_kr=43+1-5.495+0.1691V+-7.677-0.0128V ddtimeX_kr=X_kr_inf-X_krtau_X_kr

Component: slow_activating_delayed_rectifiyer_K_current

E_Ks=RTFlnK_o+0.01833Na_oK_i+0.01833Na_i i_Ks=g_KsX_ks2V-E_Ks

Component: slow_activating_delayed_rectifiyer_K_current_X_ks_gate

X_ks_infinity=11+V-16-13.6 tau_X_ks=10.0000719V-101--0.148V-10+0.000131V-100.0687V-10-1 ddtimeX_ks=X_ks_infinity-X_kstau_X_ks

Component: transient_outward_potassium_current

i_to=g_toX_toY_toV-E_K

Component: transient_outward_potassium_current_X_to_gate

alpha_X_to=0.045160.03577V beta_X_to=0.0989-0.06237V ddtimeX_to=alpha_X_to1-X_to-beta_X_toX_to

Component: transient_outward_potassium_current_Y_to_gate

alpha_Y_to=0.005415V+33.5-51+0.051335V+33.5-5 beta_Y_to=0.005415V+33.551+0.051335V+33.55 ddtimeY_to=alpha_Y_to1-Y_to-beta_Y_toY_to

Component: plateau_potassium_current

i_Kp=g_KpKp_VV-E_K

Component: plateau_potassium_current_Kp_gate

Kp_V=11+7.488-V5.98

Component: sodium_potassium_pump

f_NaK=11+0.1245-0.1VFRT+0.0365sigma-VFRT sigma=17Na_o67.3-1 i_NaK=i_NaK_maxf_NaK1+K_mNaiNa_i1.5K_oK_o+K_mKo

Component: Na_Ca_exchanger

i_NaCa=K_NaCaK_mNa3+Na_o3K_mCa+Ca_o1+K_sateta-1VFRTetaVFRTNa_i3Ca_o-eta-1VFRTNa_o3Ca_i

Component: sarcolemmal_calcium_pump

i_p_Ca=i_pCa_maxCa_iK_mpCa+Ca_i

Component: calcium_background_current

E_Ca=RT2FlnCa_oCa_i i_Ca_b=g_CabV-E_Ca

Component: sodium_background_current

i_Na_b=g_NabV-E_Na

Component: L_type_Ca_current

i_Ca=i_Ca_maxfdf_Ca i_Ca_max=P_CaC_sc4VF2RTCa_i2VFRT-0.341Ca_o2VFRT-1 i_CaK=P_CaKC_scfdf_Ca1+i_Ca_maxi_Ca_half1000VF2RTK_iVFRT-K_oVFRT-1

Component: L_type_Ca_current_f_gate

f_infinity=11+V+12.55 tau_f=30+2001+V+209.5 ddtimef=f_infinity-ftau_f

Component: L_type_Ca_current_d_gate

d_infinity=11+V+10-6.24 E0_m=V+40 tau_d=10.25-0.01V1+-0.07V+0.07-0.05E0_m1+0.05E0_m ddtimed=d_infinity-dtau_d

Component: L_type_Ca_current_f_Ca_gate

f_Ca_infinity=11+Ca_iK_mfCa3 tau_f_Ca=30 ddtimef_Ca=f_Ca_infinity-f_Catau_f_Ca

Component: calcium_dynamics

J_up=V_up1+K_mupCa_i2 gamma=11+2000Ca_SR3 J_rel=P_relfdf_CagammaCa_SR-Ca_i1+1.65V20 J_leak=P_leakCa_SR-Ca_i beta_SR=11+CSQN_totK_mCSQNK_mCSQN+Ca_SR2 ddtimeCa_SR=beta_SRJ_up-J_leak-J_relV_myoV_SR beta_i=11+CMDN_totK_mCMDNK_mCMDN+Ca_i2 ddtimeCa_i=beta_iJ_rel+J_leak-J_up-A_CapC_sc2FV_myoi_Ca+i_Ca_b+i_p_Ca-2i_NaCa

Component: standard_ionic_concentrations