Model Mathematics

Component: environment

Component: membrane

FCell=1.073dCell-0.131+0.7745-3dCell-2.050.295 Cm=CmCentre+FCellCmPeriphery-CmCentre ddtimeV=-1Cmi_Na+i_Ca_L+i_Ca_T+i_to+i_sus+i_K_r+i_K_s+i_f_Na+i_f_K+i_b_Na+i_b_Ca+i_b_K+i_NaCa+i_p+i_Ca_p

Component: sodium_current

g_Na=g_Na_Centre+FCellg_Na_Periphery-g_Na_Centre i_Na=g_Nam3hNa_oF2RTV-E_NaFRT-1VFRT-1V

Component: sodium_current_m_gate

ddtimem=m_infinity-mtau_m m_infinity=11+-V5.4613 tau_m=0.00062470.832-0.335V+56.7+0.6270.082V+65.01+4e-5

Component: sodium_current_h_gate

F_Na=0.0952-0.063V+34.41+1.66-0.225V+63.7+0.0869 h=1-F_Nah1+F_Nah2 ddtimeh1=h1_infinity-h1tau_h1 ddtimeh2=h2_infinity-h2tau_h2 h1_infinity=11+V+66.16.4 h2_infinity=h1_infinity tau_h1=3.717e-6-0.2815V+17.111+0.003732-0.3426V+37.76+0.0005977 tau_h2=3.186e-8-0.6219V+18.81+7.189e-5-0.6683V+34.07+0.003556

Component: L_type_Ca_channel

g_Ca_L=g_Ca_L_Centre+FCellg_Ca_L_Periphery-g_Ca_L_Centre i_Ca_L=g_Ca_Lf_Ld_L+0.0061+-V+14.16V-E_Ca_L

Component: L_type_Ca_channel_d_gate

ddtimed_L=d_L_infinity-d_Ltau_d_L alpha_d_L=-28.38V+35-V+352.5-1-84.9V-0.208V-1 beta_d_L=11.42V-50.4V-5-1 tau_d_L=2alpha_d_L+beta_d_L d_L_infinity=11+-V+23.16

Component: L_type_Ca_channel_f_gate

ddtimef_L=f_L_infinity-f_Ltau_f_L alpha_f_L=3.12V+28V+284-1 beta_f_L=251+-V+284 tau_f_L=1alpha_f_L+beta_f_L f_L_infinity=11+V+455

Component: T_type_Ca_channel

g_Ca_T=g_Ca_T_Centre+FCellg_Ca_T_Periphery-g_Ca_T_Centre i_Ca_T=g_Ca_Td_Tf_TV-E_Ca_T

Component: T_type_Ca_channel_d_gate

ddtimed_T=d_T_infinity-d_Ttau_d_T alpha_d_T=1068V+26.330 beta_d_T=1068-V+26.330 tau_d_T=1alpha_d_T+beta_d_T d_T_infinity=11+-V+376.8

Component: T_type_Ca_channel_f_gate

ddtimef_T=f_T_infinity-f_Ttau_f_T alpha_f_T=15.3-V+71.783.3 beta_f_T=15V+71.715.38 tau_f_T=1alpha_f_T+beta_f_T f_T_infinity=11+V+719

Component: four_AP_sensitive_currents

g_to=g_to_Centre+FCellg_to_Periphery-g_to_Centre g_sus=g_sus_Centre+FCellg_sus_Periphery-g_sus_Centre i_to=g_toqrV-E_K i_sus=g_susrV-E_K

Component: four_AP_sensitive_currents_q_gate

ddtimeq=q_infinity-qtau_q q_infinity=11+V+59.3713.1 tau_q=0.0101+0.065170.57-0.08V+49+2.4e-50.1V+50.93

Component: four_AP_sensitive_currents_r_gate

ddtimer=r_infinity-rtau_r r_infinity=11+-V-10.9319.7 tau_r=0.0012.98+15.591.0370.09V+30.61+0.369-0.12V+23.84

Component: rapid_delayed_rectifying_potassium_current

g_K_r=g_K_r_Centre+FCellg_K_r_Periphery-g_K_r_Centre i_K_r=g_K_rP_aP_iV-E_K P_a=0.6P_af+0.4P_as

Component: rapid_delayed_rectifying_potassium_current_P_af_gate

ddtimeP_af=P_af_infinity-P_aftau_P_af P_af_infinity=11+-V+14.210.6 tau_P_af=137.2V-915.9+0.96-V-922.5

Component: rapid_delayed_rectifying_potassium_current_P_as_gate

ddtimeP_as=P_as_infinity-P_astau_P_as P_as_infinity=P_af_infinity tau_P_as=14.2V-917+0.15-V-921.6

Component: rapid_delayed_rectifying_potassium_current_P_i_gate

ddtimeP_i=P_i_infinity-P_itau_P_i P_i_infinity=11+V+18.610.1

Component: slow_delayed_rectifying_potassium_current

g_K_s=g_K_s_Centre+FCellg_K_s_Periphery-g_K_s_Centre i_K_s=g_K_sxs2V-E_K_s

Component: slow_delayed_rectifying_potassium_current_xs_gate

ddtimexs=alpha_xs1-xs-beta_xsxs alpha_xs=141+-V-409 beta_xs=1-V45

Component: hyperpolarisation_activated_current

g_f_Na=g_f_Na_Centre+FCellg_f_Na_Periphery-g_f_Na_Centre i_f_Na=g_f_NayV-E_Na g_f_K=g_f_K_Centre+FCellg_f_K_Periphery-g_f_K_Centre i_f_K=g_f_KyV-E_K

Component: hyperpolarisation_activated_current_y_gate

ddtimey=alpha_y1-y-beta_yy alpha_y=1-V+78.9126.62 beta_y=1V+75.1321.25

Component: sodium_background_current

g_b_Na=g_b_Na_Centre+FCellg_b_Na_Periphery-g_b_Na_Centre i_b_Na=g_b_NaV-E_Na

Component: potassium_background_current

g_b_K=g_b_K_Centre+FCellg_b_K_Periphery-g_b_K_Centre i_b_K=g_b_KV-E_K

Component: calcium_background_current

g_b_Ca=g_b_Ca_Centre+FCellg_b_Ca_Periphery-g_b_Ca_Centre i_b_Ca=g_b_CaV-E_Ca

Component: sodium_calcium_exchanger

k_NaCa=k_NaCa_Centre+FCellk_NaCa_Periphery-k_NaCa_Centre i_NaCa=k_NaCaNa_i3Ca_o0.03743Vgamma_NaCa-Na_o3Ca_i0.0374Vgamma_NaCa-11+d_NaCaCa_iNa_o3+Ca_oNa_i3

Component: sodium_potassium_pump

i_p_max=i_p_max_Centre+FCelli_p_max_Periphery-i_p_max_Centre i_p=i_p_maxNa_iK_m_Na+Na_i3K_oK_m_K+K_o21.61.5+-V+6040

Component: persistent_calcium_current

i_Ca_p_max=i_Ca_p_max_Centre+FCelli_Ca_p_max_Periphery-i_Ca_p_max_Centre i_Ca_p=i_Ca_p_maxCa_iCa_i+0.0004

Component: ionic_concentrations

Component: reversal_and_equilibrium_potentials

E_Na=RTFlnNa_oNa_i E_K=RTFlnK_oK_i E_Ca=RT2FlnCa_oCa_i E_K_s=RTFlnK_o+0.12Na_oK_i+0.12Na_i