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_stCm

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+3.1e50.35VifV<-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=-1.2714e50.2444V-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 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+0.07V+80

Component: transient_outward_K_current

i_to=Cmg_tooa3oiV-E_K

Component: transient_outward_K_current_oa_gate

alpha_oa=0.65V--10-8.5+V--10-40-59-1 beta_oa=0.652.5+V--10+7217-1 tau_oa=alpha_oa+beta_oa-1K_Q10 oa_infinity=1+V--10+10.47-17.54-1 ddtimeoa=oa_infinity-oatau_oa

Component: transient_outward_K_current_oi_gate

alpha_oi=18.53+1V--10+103.710.95-1 beta_oi=35.56+1V--10-8.74-7.44-1 tau_oi=alpha_oi+beta_oi-1K_Q10 oi_infinity=1+V--10+33.15.3-1 ddtimeoi=oi_infinity-oitau_oi

Component: ultrarapid_delayed_rectifier_K_current

g_Kur=0.005+0.051+V-15-13 i_Kur=Cmg_Kurua3uiV-E_K

Component: ultrarapid_delayed_rectifier_K_current_ua_gate

alpha_ua=0.65V--10-8.5+V--10-40-59-1 beta_ua=0.652.5+V--10+7217-1 tau_ua=alpha_ua+beta_ua-1K_Q10 ua_infinity=1+V--10+20.3-9.6-1 ddtimeua=ua_infinity-uatau_ua

Component: ultrarapid_delayed_rectifier_K_current_ui_gate

alpha_ui=21+1V--10-195-28-1 beta_ui=1V--10-168-16 tau_ui=alpha_ui+beta_ui-1K_Q10 ui_infinity=1+V--10-109.4527.48-1 ddtimeui=ui_infinity-uitau_ui

Component: rapid_delayed_rectifier_K_current

i_Kr=Cmg_KrxrV-E_K1+V+1522.4

Component: rapid_delayed_rectifier_K_current_xr_gate

alpha_xr=0.0015if|V+14.1|<1e-100.0003V+14.11-V+14.1-5otherwise beta_xr=3.7836118e-4if|V-3.3328|<1e-100.000073898V-3.3328V-3.33285.1237-1otherwise tau_xr=alpha_xr+beta_xr-1 xr_infinity=1+V+14.1-6.5-1 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=0.00068if|V-19.9|<1e-100.00004V-19.91-V-19.9-17otherwise beta_xs=0.000315if|V-19.9|<1e-100.000035V-19.9V-19.99-1otherwise tau_xs=0.5alpha_xs+beta_xs-1 xs_infinity=1+V-19.9-12.7-0.5 ddtimexs=xs_infinity-xstau_xs

Component: L_type_Ca_channel

i_Ca_L=Cmg_Ca_Ldff_CaV-65

Component: L_type_Ca_channel_d_gate

d_infinity=1+V+10-8-1 tau_d=4.5791+V+10-6.24if|V+10|<1e-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=-V+286.91+-V+286.9 tau_f=90.0197-0.03372V+102+0.02-1 ddtimef=f_infinity-ftau_f

Component: L_type_Ca_channel_f_Ca_gate

f_Ca_infinity=1+Ca_i0.00035-1 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_NaK11+Km_Na_iNa_i1.5K_oK_o+Km_K_o

Component: background_currents

E_Ca=RT2FlnCa_oCa_i i_B_Na=Cmg_B_NaV-E_Na i_B_Ca=Cmg_B_CaV-E_Ca i_B_K=Cmg_B_KV-E_K

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=1e31e-15V_reli_rel-1e-152F0.5i_Ca_L-0.2i_NaCa i_rel=K_relu2vwCa_rel-Ca_i

Component: Ca_release_current_from_JSR_u_gate

tau_u=8 u_infinity=1+-Fn-3.4175e-1313.67e-16-1 ddtimeu=u_infinity-utau_u

Component: Ca_release_current_from_JSR_v_gate

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

Component: Ca_release_current_from_JSR_w_gate

tau_w=60.21.3if|V-7.9|<1e-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

Ca_CMDN=CMDN_maxCa_iCa_i+Km_CMDN Ca_TRPN=TRPN_maxCa_iCa_i+Km_TRPN Ca_CSQN=CSQN_maxCa_relCa_rel+Km_CSQN

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_B_KV_iF ddtimeCa_i=B1B2 B1=2i_NaCa-i_CaP+i_Ca_L+i_B_Ca2V_iF+V_upi_up_leak-i_up+i_relV_relV_i B2=1+TRPN_maxKm_TRPNCa_i+Km_TRPN2+CMDN_maxKm_CMDNCa_i+Km_CMDN2 ddtimeCa_up=i_up-i_up_leak+i_trV_relV_up ddtimeCa_rel=i_tr-i_rel1+CSQN_maxKm_CSQNCa_rel+Km_CSQN2-1

Component: standard_ionic_concentrations