Lloyd Catherine May c.lloyd@auckland.ac.nz The University of Auckland The Bioengineering Institute 2002-03-28 Fixed maths. Lloyd Catherine May 2003-07-30 Fixed maths: alpha_J_calculation in fast_sodium_current_j_gate, beta_K1_calculation in time_independent_potassium_current_K1_gate, and i_NaK_calculation in sodium_potassium_pump. Lloyd Catherine May 2003-06-05 This model has been temporarily modified to include enough initial values so that it will run. This is a temporary modification, and the permanent solution will be to create a new model that imports this model and specifies initial conditions. The affected variables are m, h, j, d, f, X, Ca_JSR, Ca_foot, R_A_V, V_myo, V_cleft, V_JSR, V_NSR. Miller Andrew Keith 2004-11-20 The University of Auckland, The Bioengineering Institute The Luo-Rudy II Model of Mammalian Ventricular Cardiac Action Potentials, 1994 This is the CellML description of Luo and Rudy's mathematical model of the mammalian cardiac ventricular action potential. It is a significant development on their original 1991 model. Catherine Lloyd Mammalia Ventricular Myocyte keyword Ventricular Myocyte cardiac electrophysiology 7514509 Luo Ching-hsing Rudy Yoram A Dynamic Model of the Cardiac Ventricular Action Potential I. Simulations of Ionic Currents and Concentration Changes 1994-06 Circulation Research 74 1071 1096 time V 1.0 Cm i_Na i_Ca_L i_K i_K1 i_Kp i_NaCa i_p_Ca i_Na_b i_Ca_b i_NaK i_ns_Ca I_st i_Na g_Na m 3.0 h j V E_Na E_Na R T F Nao Nai alpha_m 0.32 V 47.13 1.0 -0.1 V 47.13 beta_m 0.08 V 11.0 time m alpha_m 1.0 m beta_m m alpha_h 0.135 80.0 V -6.8 V -40.0 0.0 beta_h 3.56 0.079 V 310000.0 0.35 V V -40.0 1.0 0.13 1.0 V 10.66 -11.1 time h alpha_h 1.0 h beta_h h alpha_j -127140.0 0.2444 V 0.00003474 -0.04391 V V 37.78 1.0 0.311 V 79.23 V -40.0 0.0 beta_j 0.1212 -0.01052 V 1.0 -0.1378 V 40.14 V -40.0 0.3 -0.0000002535 V 1.0 -0.1 V 32.0 time j alpha_j 1.0 j beta_j j i_CaCa d f f_Ca I_CaCa i_CaNa d f f_Ca I_CaNa i_CaK d f f_Ca I_CaK I_CaCa P_Ca 2.0 2.0 V F 2.0 R T gamma_Cai Cai 2.0 V F R T gamma_Cao Cao 2.0 V F R T 1.0 I_CaNa P_Na 1.0 2.0 V F 2.0 R T gamma_Nai Nai 1.0 V F R T gamma_Nao Nao 1.0 V F R T 1.0 I_CaK P_K 1.0 2.0 V F 2.0 R T gamma_Ki Ki 1.0 V F R T gamma_Ko Ko 1.0 V F R T 1.0 i_Ca_L i_CaCa i_CaK i_CaNa alpha_d d_infinity tau_d d_infinity 1.0 1.0 V 10.0 6.24 tau_d d_infinity 1.0 V 10.0 6.24 0.035 V 10.0 beta_d 1.0 d_infinity tau_d time d alpha_d 1.0 d beta_d d alpha_f f_infinity tau_f f_infinity 1.0 1.0 V 35.06 8.6 0.6 1.0 50.0 V 20.0 tau_f 1.0 0.0197 0.0337 V 10.0 2.0 0.02 beta_f 1.0 f_infinity tau_f time f alpha_f 1.0 f beta_f f f_Ca 1.0 1.0 Cai Km_Ca 2.0 g_K 0.282 Ko 5.4 E_K R T F Ko PR_NaK Nao Ki PR_NaK Nai i_K g_K X 2.0 Xi V E_K alpha_X 0.0000719 V 30.0 1.0 -0.148 V 30.0 beta_X 0.000131 V 30.0 -1.0 0.0687 V 30.0 time X alpha_X 1.0 X beta_X X Xi 1.0 1.0 V 56.26 32.1 g_K1 0.75 Ko 5.4 E_K1 R T F Ko Ki i_K1 g_K1 K1_infinity V E_K1 alpha_K1 1.02 1.0 0.2385 V E_K1 59.215 beta_K1 0.49124 0.08032 V 5.476 E_K1 0.06175 V E_K1 594.31 1.0 -0.5143 V E_K1 4.753 K1_infinity alpha_K1 alpha_K1 beta_K1 E_Kp E_K1 Kp 1.0 1.0 7.488 V 5.98 i_Kp g_Kp Kp V E_Kp i_p_Ca I_pCa Cai K_mpCa Cai E_NaN E_Na i_Na_b g_Nab V E_NaN E_CaN R T 2.0 F Cao Cai i_Ca_b g_Cab V E_CaN f_NaK 1.0 1.0 0.1245 -0.1 V F R T 0.0365 sigma V F R T sigma 1.0 7.0 Nao 67.3 1.0 i_NaK I_NaK f_NaK 1.0 1.0 K_mNai Nai 1.5 Ko Ko K_mKo i_ns_Na I_ns_Na 1.0 1.0 K_m_ns_Ca Cai 3.0 i_ns_K I_ns_K 1.0 1.0 K_m_ns_Ca Cai 3.0 i_ns_Ca i_ns_Na i_ns_K I_ns_Na P_ns_Ca 1.0 2.0 V F 2.0 R T gamma_Nai Nai 1.0 V F R T gamma_Nao Nao 1.0 V F R T 1.0 I_ns_K P_ns_Ca 1.0 2.0 V F 2.0 R T gamma_Ki Ki 1.0 V F R T gamma_Ko Ko 1.0 V F R T 1.0 i_NaCa K_NaCa 1.0 K_mNa 3.0 Nao 3.0 1.0 K_mCa Cao 1.0 1.0 K_sat eta 1.0 V F R T eta V F R T Nai 3.0 Cao eta 1.0 V F R T Nao 3.0 Cai Tn_buff Tn_max Cai Cai K_mTn CMDN_buff CMDN_max Cai Cai K_mCMDN i_rel G_rel Ca_JSR Cai G_rel G_rel_max delta_Ca_i2 delta_Ca_ith K_mrel delta_Ca_i2 delta_Ca_ith 1.0 t tau_on t tau_off calcium_overload 0.0 G_rel_max 1.0 t tau_on t tau_off G_rel_max 0.0 delta_Ca_i2 delta_Ca_ith 60.0 calcium_overload 0.0 0.0 CSQN_buff CSQN_th 4.0 CSQN_buff CSQN_max Ca_JSR Ca_JSR K_mCSQN i_up I_up Cai Cai K_mup i_leak K_leak Ca_NSR K_leak I_up Ca_NSR_max i_tr Ca_NSR Ca_JSR tau_tr time Nai i_Na i_CaNa i_Na_b i_ns_Na i_NaCa 3.0 i_NaK 3.0 A_cap V_myo F time Cai i_CaCa i_p_Ca i_Ca_b i_NaCa A_cap 2.0 V_myo F i_rel V_JSR V_myo i_leak i_up V_NSR V_myo time Ki i_CaK i_K i_K1 i_Kp i_ns_K i_NaK 2.0 A_cap V_myo F time Ko i_CaK i_K i_K1 i_Kp i_ns_K i_NaK 2.0 A_cap V_cleft F time Ca_JSR i_rel i_tr V_NSR V_JSR time Ca_NSR i_leak i_tr i_up time Ca_foot i_CaCa A_cap 2.0 V_myo F R_A_V