Model Mathematics

Component: environment

Component: membrane

i_Stim=stim_amplitudeiftimestim_starttimestim_endtime-stim_start-time-stim_startstim_periodstim_periodstim_duration0otherwise ddtimeV=-1Cmi_Kr+i_Ks+i_Na+i_Ca_L+i_Ca_T+i_to+i_K1+i_B_Na+i_B_Ca+i_B_Cl+i_p+i_CaP+i_NaCa+i_Stim

Component: sodium_current

E_Na=RTFlnNa_cNa_i i_Na=P_Nam30.635h1+0.365h2Na_cVF2RTV-E_NaFRT-1VFRT-1

Component: sodium_current_m_gate

E0_m=V+44.4 alpha_m=-460E0_mE0_m-12.673-1 beta_m=18400E0_m-12.673 ddtimem=alpha_m1-m-beta_mm

Component: sodium_current_h1_gate

alpha_h=44.9V+66.9-5.57 beta_h=14911+323.3V+94.6-12.9 h_infinity=alpha_halpha_h+beta_h tau_h1=0.031+V+406+3.5e-4 ddtimeh1=h_infinity-h1tau_h1

Component: sodium_current_h2_gate

tau_h2=0.121+V+602+0.00295 ddtimeh2=h_infinity-h2tau_h2

Component: L_type_Ca_channel

d_prime=11+V-33-12 i_Ca_L=g_Ca_Ld_Lf_Ld_primeV-E_Ca_app

Component: L_type_Ca_channel_d_L_gate

E0_alpha_d_L=V+35 E0_beta_d_L=V-5 alpha_d_L=-16.72E0_alpha_d_LE0_alpha_d_L-2.5-1+-50VV-4.808-1 beta_d_L=4.48E0_beta_d_LE0_beta_d_L2.5-1 d_L_infinity=11+V+0.95-6.6 tau_d_L=1alpha_d_L+beta_d_L ddtimed_L=d_L_infinity-d_Ltau_d_L

Component: L_type_Ca_channel_f_L_gate

E0_f_L=V+28 alpha_f_L=8.49E0_f_LE0_f_L4-1 beta_f_L=67.9221+E0_f_L-4 f_L_infinity=alpha_f_Lalpha_f_L+beta_f_L x_f=V+37.42720.213 tau_f_L=0.211-x_fx_f+0.015 ddtimef_L=f_L_infinity-f_Ltau_f_L

Component: T_type_Ca_channel

i_Ca_T=g_Ca_Td_Tf_TV-E_Ca_T

Component: T_type_Ca_channel_d_T_gate

E0_d_T=V+23 alpha_d_T=674.173E0_d_T30 beta_d_T=674.173E0_d_T-30 d_T_infinity=11+E0_d_T-6.1 tau_d_T=1alpha_d_T+beta_d_T ddtimed_T=d_T_infinity-d_Ttau_d_T

Component: T_type_Ca_channel_f_T_gate

E0_f_T=V+75 alpha_f_T=9.637E0_f_T-83.333 beta_f_T=9.637E0_f_T15.385 f_T_infinity=alpha_f_Talpha_f_T+beta_f_T tau_f_T=1alpha_f_T+beta_f_T ddtimef_T=f_T_infinity-f_Ttau_f_T

Component: Ca_independent_transient_outward_K_current

E_K=RTFlnK_cK_i i_to=g_tor0.59s13+0.41s230.6s36+0.4V-E_K

Component: Ca_independent_transient_outward_K_current_r_gate

alpha_r=386.6V12 beta_r=8.011V-7.2 r_infinity=11+V+15-5.633 tau_r=1alpha_r+beta_r+4e-4 ddtimer=r_infinity-rtau_r

Component: Ca_independent_transient_outward_K_current_s1_gate

s1_infinity=11+V+28.297.06 tau_s1=0.54661+V+32.80.1+0.0204 ddtimes1=s1_infinity-s1tau_s1

Component: Ca_independent_transient_outward_K_current_s2_gate

s2_infinity=11+V+28.297.06 tau_s2=5.751+V+32.80.1+0.451+V-13.54-13.97 ddtimes2=s2_infinity-s2tau_s2

Component: Ca_independent_transient_outward_K_current_s3_gate

s3_infinity=11+V+50.6727.38+0.6661.666 tau_s3=7.51+V+230.5+0.5 ddtimes3=s3_infinity-s3tau_s3

Component: delayed_rectifier_K_current

i_Ks=g_KszV-E_K i_Kr=g_Krp_ap_iV-E_K

Component: delayed_rectifier_K_current_z_gate

alpha_z=1.66V69.452 beta_z=0.3V-21.826 z_infinity=11+V-0.9-13.8 tau_z=1alpha_z+beta_z+0.06 ddtimez=z_infinity-ztau_z

Component: delayed_rectifier_K_current_pa_gate

alpha_p_a=9V25.371 beta_p_a=1.3V-13.026 p_a_infinity=11+V+5.1-7.4 tau_p_a=1alpha_p_a+beta_p_a ddtimep_a=p_a_infinity-p_atau_p_a

Component: delayed_rectifier_K_current_pi_gate

alpha_p_i=100V-54.645 beta_p_i=656V106.157 p_i_infinity=11+V+47.392118.6603 tau_p_i=1alpha_p_i+beta_p_i ddtimep_i=p_i_infinity-p_itau_p_i

Component: inward_rectifier

i_K1=g_K1V-E_KK_cK_c+KmK1311+steepK1FV-E_K-shiftK1RT

Component: background_currents

E_Ca=RT2FlnCa_cCa_i E_Cl=RTFlnCl_iCl_c E_B_Cl=E_Cl-0.49E_Cl+30.59 i_B_Na=g_B_NaV-E_Na i_B_Ca=g_B_CaV-E_Ca i_B_Cl=g_B_ClV-E_B_Cl1+V-E_Cl+36.9574.514

Component: sodium_potassium_pump

i_p=i_NaK_maxK_cK_c+k_NaK_KNa_i1.5Na_i1.5+k_NaK_Na1.51.61.5+V+60-40

Component: sarcolemmal_calcium_pump_current

i_CaP=i_CaP_maxCa_iCa_i+k_CaP

Component: Na_Ca_ion_exchanger_current

i_NaCa=k_NaCaNa_i3Ca_cgammaFVRT-Na_c3Ca_igamma-1VFRT1+d_NaCaNa_c3Ca_i+Na_i3Ca_c1+Ca_i0.0069

Component: intracellular_ion_concentrations

ddtimeNa_i=-i_Na+i_B_Na+3i_p+3i_NaCaVol_iF ddtimeK_i=-i_to+i_K1+i_Kr+i_Ks-2i_pVol_iF ddtimeCa_i=-i_Ca_L+i_Ca_T+i_B_Ca+i_CaP-2i_NaCa+i_up-i_rel2Vol_CaF-0.08dOTCdt+0.16dOTMgCdt+0.045dOCdt

Component: intracellular_Ca_buffering

dOCdt=200000Ca_i1-O_C-476O_C ddtimeO_C=dOCdt dOTCdt=78400Ca_i1-O_TC-392O_TC ddtimeO_TC=dOTCdt dOTMgCdt=200000Ca_i1-O_TMgC-O_TMgMg-6.6O_TMgC ddtimeO_TMgC=dOTMgCdt ddtimeO_TMgMg=2000Mg_i1-O_TMgC-O_TMgMg-666O_TMgMg

Component: cleft_space_ion_concentrations

Component: Ca_handling_by_the_SR

ddtimeO_Calse=480Ca_rel1-O_Calse-400O_Calse ddtimeCa_rel=i_tr-i_rel2Vol_relF-31ddtimeO_Calse ddtimeCa_up=i_up-i_tr2Vol_upF ddtimeF1=k_F3F3-r_actF1 ddtimeF2=r_actF1-r_inactF2 ddtimeF3=F2r_inact-k_F3F3 r_act=203.80.08V-40+203.8Ca_iCa_i+k_rel4 r_inact=33.96+339.6Ca_iCa_i+k_rel4 i_up=I_up_maxCa_ik_cyca-k_xcs2Ca_upk_srcaCa_i+k_cycak_cyca+k_xcsCa_up+k_srcak_srca i_tr=Ca_up-Ca_rel2FVol_reltau_tr i_rel=alpha_relF2F2+0.252Ca_rel-Ca_i