Model Mathematics

Component: environment

Component: membrane

i_st=stim_amplitudeiftimestim_starttimestim_endtime-stim_start-time-stim_startstim_periodstim_periodstim_duration0otherwise ddtimeV=-i_Na+i_K1+i_to+i_Kur+i_Kr+i_Ks+i_B_Na+i_B_Ca+i_NaK+i_CaP+i_NaCa+i_Ca_L+i_st+i_B_Cl+i_K_AchCm

Component: fast_sodium_current

i_Na=Cmg_Nam3hjV-E_Na E_Na=RTFlnNa_oNa_i

Component: fast_sodium_current_m_gate

alpha_m=3.2ifV=-47.130.32V+47.131--0.1V+47.13otherwise beta_m=0.08-V11 m_inf=alpha_malpha_m+beta_m tau_m=1alpha_m+beta_m ddtimem=m_inf-mtau_m

Component: fast_sodium_current_h_gate

alpha_h=0.135V+80-6.8ifV<-400otherwise beta_h=3.560.079V+3.1 e 50.35VifV<-4010.131+V+10.66-11.1otherwise h_inf=alpha_halpha_h+beta_h tau_h=1alpha_h+beta_h ddtimeh=h_inf-htau_h

Component: fast_sodium_current_j_gate

alpha_j=-1.2714 e 50.2444V-3.474 e -5-0.04391VV+37.781+0.311V+79.23ifV<-400otherwise beta_j=0.1212-0.01052V1+-0.1378V+40.14ifV<-400.3-2.535 e -7V1+-0.1V+32otherwise j_inf=alpha_jalpha_j+beta_j tau_j=1alpha_j+beta_j ddtimej=j_inf-jtau_j

Component: time_independent_potassium_current

E_K=RTFlnK_oK_i i_K1=Cmg_K1V-E_K1+0.072V-E_K

Component: transient_outward_K_current

i_to=Cmg_tooa3oiV-E_K

Component: transient_outward_K_current_oa_gate

tau_oa=0.4V-1520 oa_infinity=1+V-12-11.5-13 ddtimeoa=oa_infinity-oatau_oa

Component: transient_outward_K_current_oi_gate

alpha_oi=11.2+V+95.25.85 beta_oi=19.54+V-48-20 tau_oi=alpha_oi+beta_oi-1 oi_infinity=1+V+316.45-1 ddtimeoi=oi_infinity-oitau_oi

Component: ultrarapid_delayed_rectifier_K_current

i_Kur=Cmg_Kur1+31+V-14-6ua3uiV-E_K

Component: ultrarapid_delayed_rectifier_K_current_ua_gate

alpha_ua=1.47V+33.2-30.63+V-27.6-30.65 beta_ua=0.42V+26.642.49+V+44.4120.36 tau_ua=alpha_ua+beta_ua-1 ua_infinity=1+V+2.81-9.49-13 ddtimeua=ua_infinity-uatau_ua

Component: ultrarapid_delayed_rectifier_K_current_ui_gate

alpha_ui=121+V-185-28 beta_ui=1V-15816 tau_ui=alpha_ui+beta_ui-1 ui_infinity=1+V-99.4527.48-1 ddtimeui=ui_infinity-uitau_ui

Component: rapid_delayed_rectifier_K_current

i_Kr=Cmg_KrxrV-E_K0.6+10.5+V-2620.4

Component: rapid_delayed_rectifier_K_current_xr_gate

alpha_xr=0.04V-2481-V-248-28 beta_xr=0.028V+163V+16321-1 tau_xr=alpha_xr+beta_xr-1 xr_infinity=1+V+7.654-5.377-1 ddtimexr=xr_infinity-xrtau_xr

Component: slow_delayed_rectifier_K_current

i_Ks=Cmg_Ksxs2V-E_K

Component: slow_delayed_rectifier_K_current_xs_gate

alpha_xs=0.00115if|V+28.5|<1 e -100.00001V+28.51-V+28.5-115otherwise beta_xs=0.000759if|V+28.5|<1 e -100.00023V+28.5V+28.53.3-1otherwise tau_xs=alpha_xs+beta_xs-1 xs_infinity=1+V-13-12-0.5 ddtimexs=xs_infinity-xstau_xs

Component: i_K_Ach

i_K_Ach=Cmg_K_AchxaV-E_K0.1+0.078V-E_K-65

Component: i_K_Ach_xa_gate

tau_xa=360+1301--V+13050 xa_infinity=11+-93-V-15.2 ddtimexa=xa_infinity-xatau_xa

Component: L_type_Ca_channel

i_Ca_L=Cmg_Ca_Ldff_CaV-60

Component: L_type_Ca_channel_d_gate

d_infinity=1+-V-25-1 tau_d=0.763if|V+10|<1 e -101-V+10-6.240.035V+101+V+10-6.24otherwise ddtimed=d_infinity-dtau_d

Component: L_type_Ca_channel_f_gate

f_infinity=11+V+346.3 tau_f=4001+4.5-V-90.02652 ddtimef=f_infinity-ftau_f

Component: L_type_Ca_channel_f_Ca_gate

f_Ca_infinity=0.29+0.81+Ca_i-1.2 e -46 e -5-1 tau_f_Ca=2 ddtimef_Ca=f_Ca_infinity-f_Catau_f_Ca

Component: sodium_potassium_pump

sigma=17Na_o67.3-1 f_NaK=1+0.1245-0.1FVRT+0.0365sigma-FVRT-1 i_NaK=Cmi_NaK_maxf_NaK1+Km_Na_iNa_i1.5K_oK_o+Km_K_o

Component: background_currents

i_B_Na=Cmg_B_NaV-E_Na i_B_Ca=Cmg_B_CaV-RT2FlnCa_oCa_i i_B_Cl=Cmg_B_ClV-RTFlnCl_iCl_o

Component: Na_Ca_exchanger_current

i_NaCa=CmI_NaCa_maxgammaFVRTNa_i3Ca_o-gamma-1FVRTNa_o3Ca_iK_mNa3+Na_o3K_mCa+Ca_o1+K_satgamma-1VFRT

Component: sarcolemmal_calcium_pump_current

i_CaP=Cmi_CaP_maxCa_i0.0005+Ca_i

Component: Ca_release_current_from_JSR

Fn=1 e 31 e -15V_reli_rel-1 e -152F0.5i_Ca_L-0.2i_NaCa i_rel=K_relu2vwCa_rel-Ca_i

Component: Ca_release_current_from_JSR_u_gate

tau_u=11.2 u_infinity=1+-Fn-3.4175 e -1313.67 e -16-1 ddtimeu=u_infinity-utau_u

Component: Ca_release_current_from_JSR_v_gate

tau_v=1.91+2.091+-Fn-3.4175 e -1313.67 e -16-1 v_infinity=1-1+-Fn-6.835 e -1413.67 e -16-1 ddtimev=v_infinity-vtau_v

Component: Ca_release_current_from_JSR_w_gate

tau_w=60.21.3if|V-7.9|<1 e -1061--V-7.951+0.3-V-7.951V-7.9otherwise w_infinity=1-1+-V-4017-1 ddtimew=w_infinity-wtau_w

Component: transfer_current_from_NSR_to_JSR

i_tr=Ca_up-Ca_reltau_tr

Component: Ca_uptake_current_by_the_NSR

i_up=I_up_max1+K_upCa_i

Component: Ca_leak_current_by_the_NSR

i_up_leak=I_up_maxCa_upCa_up_max

Component: Ca_buffers

var_CMDN=200Ca_i1-Ca_CMDNCMDN_max-0.476Ca_CMDNCMDN_max var_TRPN=78.4Ca_i1-Ca_TRPNTRPN_max-0.392Ca_TRPNTRPN_max var_CSQN=0.48Ca_rel1-Ca_CSQNCSQN_max-0.4Ca_CSQNCSQN_max ddtimeCa_CMDN=var_CMDNCMDN_max ddtimeCa_TRPN=var_TRPNTRPN_max ddtimeCa_CSQN=var_CSQNCSQN_max

Component: intracellular_ion_concentrations

V_i=V_cell0.68 V_rel=0.0048V_cell V_up=0.0552V_cell ddtimeNa_i=-3i_NaK-3i_NaCa+i_B_Na+i_NaV_iF ddtimeK_i=2i_NaK-i_K1+i_to+i_Kur+i_Kr+i_Ks+i_K_AchV_iF ddtimeCl_i=i_B_ClV_iF ddtimeCa_i=2i_NaCa-i_CaP+i_Ca_L+i_B_Ca2V_iF+V_upi_up_leak-i_up+i_relV_relV_i-TRPN_maxvar_TRPN-CMDN_maxvar_CMDN ddtimeCa_up=i_up-i_up_leak+i_trV_relV_up ddtimeCa_rel=i_tr-i_rel-31var_CSQN

Component: standard_ionic_concentrations