Generated Code
The following is python code generated by the CellML API from this CellML file. (Back to language selection)
The raw code is available.
# Size of variable arrays:
sizeAlgebraic = 108
sizeStates = 55
sizeConstants = 130
from math import *
from numpy import *
def createLegends():
legend_states = [""] * sizeStates
legend_rates = [""] * sizeStates
legend_algebraic = [""] * sizeAlgebraic
legend_voi = ""
legend_constants = [""] * sizeConstants
legend_voi = "time in component environment (second)"
legend_constants[0] = "R in component model_parameters (joule_per_kilomole_kelvin)"
legend_constants[1] = "T in component model_parameters (kelvin)"
legend_constants[2] = "F in component model_parameters (coulomb_per_mole)"
legend_constants[3] = "Na_e in component model_parameters (millimolar)"
legend_constants[4] = "Ca_e in component model_parameters (millimolar)"
legend_constants[5] = "K_e in component model_parameters (millimolar)"
legend_constants[6] = "ATP_i in component model_parameters (millimolar)"
legend_constants[127] = "Vt in component model_parameters (cm3)"
legend_constants[84] = "Vd in component model_parameters (cm3)"
legend_constants[86] = "Vmyo in component model_parameters (cm3)"
legend_constants[80] = "Sms in component model_parameters (cm2)"
legend_constants[90] = "Smt in component model_parameters (cm2)"
legend_constants[129] = "Cms in component model_parameters (microF)"
legend_constants[128] = "Cmt in component model_parameters (microF)"
legend_constants[89] = "Rst in component model_parameters (ohm)"
legend_constants[87] = "VSRup in component model_parameters (cm3)"
legend_constants[85] = "VSRrel in component model_parameters (cm3)"
legend_constants[83] = "Vc in component model_parameters (cm3)"
legend_constants[88] = "pt in component model_parameters (dimensionless)"
legend_constants[7] = "Rot in component model_parameters (ohm_cm)"
legend_constants[8] = "rt in component model_parameters (cm)"
legend_constants[9] = "Lt in component model_parameters (cm)"
legend_constants[10] = "rc in component model_parameters (cm)"
legend_constants[11] = "Lc in component model_parameters (cm)"
legend_constants[12] = "ptcm in component model_parameters (per_cm2)"
legend_algebraic[14] = "i_circ in component i_circ (microA)"
legend_states[0] = "Vm_s in component Vm_s (millivolt)"
legend_states[1] = "Vm_t in component Vm_t (millivolt)"
legend_constants[91] = "g_Na_s in component membrane_permeabilities (milliS)"
legend_constants[92] = "g_Naps_s in component membrane_permeabilities (milliS)"
legend_constants[93] = "q_Kr_s in component membrane_permeabilities (milliS)"
legend_constants[94] = "q_Ks_s in component membrane_permeabilities (milliS)"
legend_constants[95] = "g_Kp_s in component membrane_permeabilities (milliS)"
legend_constants[96] = "g_Kto_s in component membrane_permeabilities (milliS)"
legend_constants[97] = "g_K1_s in component membrane_permeabilities (milliS)"
legend_constants[98] = "g_KNa_s in component membrane_permeabilities (milliS)"
legend_constants[99] = "g_KATP_s in component membrane_permeabilities (milliS)"
legend_constants[100] = "g_Nab_s in component membrane_permeabilities (milliS)"
legend_constants[101] = "g_Cab_s in component membrane_permeabilities (milliS)"
legend_constants[102] = "i_pCa_max_s in component membrane_permeabilities (microA)"
legend_constants[103] = "i_NaK_max_s in component membrane_permeabilities (microA)"
legend_constants[104] = "i_NaCa_max_s in component membrane_permeabilities (microA)"
legend_constants[105] = "P_CaL_s in component membrane_permeabilities (litre_per_second)"
legend_constants[106] = "P_KL_s in component membrane_permeabilities (litre_per_second)"
legend_constants[107] = "P_nsNa_s in component membrane_permeabilities (litre_per_second)"
legend_constants[108] = "P_nsK_s in component membrane_permeabilities (litre_per_second)"
legend_constants[109] = "g_Na_t in component membrane_permeabilities (milliS)"
legend_constants[110] = "g_Naps_t in component membrane_permeabilities (milliS)"
legend_constants[111] = "q_Kr_t in component membrane_permeabilities (milliS)"
legend_constants[112] = "q_Ks_t in component membrane_permeabilities (milliS)"
legend_constants[113] = "g_Kp_t in component membrane_permeabilities (milliS)"
legend_constants[114] = "g_Kto_t in component membrane_permeabilities (milliS)"
legend_constants[115] = "g_K1_t in component membrane_permeabilities (milliS)"
legend_constants[116] = "g_KNa_t in component membrane_permeabilities (milliS)"
legend_constants[117] = "g_KATP_t in component membrane_permeabilities (milliS)"
legend_constants[118] = "g_Nab_t in component membrane_permeabilities (milliS)"
legend_constants[119] = "g_Cab_t in component membrane_permeabilities (milliS)"
legend_constants[120] = "i_pCa_max_t in component membrane_permeabilities (microA)"
legend_constants[121] = "i_NaK_max_t in component membrane_permeabilities (microA)"
legend_constants[122] = "i_NaCa_max_t in component membrane_permeabilities (microA)"
legend_constants[123] = "P_CaL_t in component membrane_permeabilities (litre_per_second)"
legend_constants[124] = "P_KL_t in component membrane_permeabilities (litre_per_second)"
legend_constants[125] = "P_nsNa_t in component membrane_permeabilities (litre_per_second)"
legend_constants[126] = "P_nsK_t in component membrane_permeabilities (litre_per_second)"
legend_constants[13] = "g_Na in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[14] = "fNat in component membrane_permeabilities (dimensionless)"
legend_constants[15] = "g_Naps in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[16] = "fNapst in component membrane_permeabilities (dimensionless)"
legend_constants[17] = "q_Kr in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[18] = "fKrt in component membrane_permeabilities (dimensionless)"
legend_constants[19] = "q_Ks in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[20] = "fKst in component membrane_permeabilities (dimensionless)"
legend_constants[21] = "g_Kp in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[22] = "fKpt in component membrane_permeabilities (dimensionless)"
legend_constants[23] = "g_Kto in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[24] = "fKtot in component membrane_permeabilities (dimensionless)"
legend_constants[25] = "g_K1 in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[26] = "fK1t in component membrane_permeabilities (dimensionless)"
legend_constants[27] = "g_KNa in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[28] = "fKNat in component membrane_permeabilities (dimensionless)"
legend_constants[29] = "g_KATP in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[30] = "fKATPt in component membrane_permeabilities (dimensionless)"
legend_constants[31] = "g_Nab in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[32] = "fNabt in component membrane_permeabilities (dimensionless)"
legend_constants[33] = "g_Cab in component membrane_permeabilities (milliS_per_cm2)"
legend_constants[34] = "fCabt in component membrane_permeabilities (dimensionless)"
legend_constants[35] = "P_CaL in component membrane_permeabilities (litre_per_second_cm2)"
legend_constants[36] = "fCaLt in component membrane_permeabilities (dimensionless)"
legend_constants[37] = "P_KL in component membrane_permeabilities (litre_per_second_cm2)"
legend_constants[38] = "P_nsNa in component membrane_permeabilities (litre_per_second_cm2)"
legend_constants[39] = "fnsNat in component membrane_permeabilities (dimensionless)"
legend_constants[40] = "P_nsK in component membrane_permeabilities (litre_per_second_cm2)"
legend_constants[41] = "fnsKt in component membrane_permeabilities (dimensionless)"
legend_constants[42] = "i_NaCa_max in component membrane_permeabilities (microA_per_cm2)"
legend_constants[43] = "fNaCat in component membrane_permeabilities (dimensionless)"
legend_constants[44] = "i_NaK_max in component membrane_permeabilities (microA_per_cm2)"
legend_constants[45] = "fNaKt in component membrane_permeabilities (dimensionless)"
legend_constants[46] = "i_pCa_max in component membrane_permeabilities (microA_per_cm2)"
legend_constants[47] = "fpCat in component membrane_permeabilities (dimensionless)"
legend_algebraic[29] = "i_Kext in component i_Kext (microA)"
legend_constants[48] = "stim_Period in component i_Kext (second)"
legend_algebraic[35] = "i_Na_s in component i_Na_s (microA)"
legend_algebraic[32] = "E_Na_s in component i_Na_s (millivolt)"
legend_states[2] = "Na_i in component ion_concentrations (millimolar)"
legend_states[3] = "K_i in component ion_concentrations (millimolar)"
legend_states[4] = "m in component i_Na_s_m_gate (dimensionless)"
legend_states[5] = "h in component i_Na_s_h_gate (dimensionless)"
legend_algebraic[0] = "m_infinity in component i_Na_s_m_gate (dimensionless)"
legend_algebraic[15] = "tau_m in component i_Na_s_m_gate (second)"
legend_algebraic[1] = "h_infinity in component i_Na_s_h_gate (dimensionless)"
legend_algebraic[16] = "tau_h in component i_Na_s_h_gate (second)"
legend_algebraic[39] = "i_Na_t in component i_Na_t (microA)"
legend_algebraic[38] = "E_Na_t in component i_Na_t (millivolt)"
legend_states[6] = "Na_t in component ion_concentrations (millimolar)"
legend_states[7] = "K_t in component ion_concentrations (millimolar)"
legend_states[8] = "m in component i_Na_t_m_gate (dimensionless)"
legend_states[9] = "h in component i_Na_t_h_gate (dimensionless)"
legend_algebraic[2] = "m_infinity in component i_Na_t_m_gate (dimensionless)"
legend_algebraic[17] = "tau_m in component i_Na_t_m_gate (second)"
legend_algebraic[3] = "h_infinity in component i_Na_t_h_gate (dimensionless)"
legend_algebraic[18] = "tau_h in component i_Na_t_h_gate (second)"
legend_algebraic[40] = "i_Naps_s in component i_Naps_s (microA)"
legend_algebraic[41] = "i_Naps_t in component i_Naps_t (microA)"
legend_algebraic[42] = "i_CaL_s in component i_CaL_s (microA)"
legend_algebraic[44] = "i_KL_s in component i_CaL_s (microA)"
legend_algebraic[4] = "alfas in component i_CaL_s (per_second)"
legend_algebraic[19] = "betas in component i_CaL_s (per_second)"
legend_algebraic[30] = "gama in component i_CaL_s (per_second)"
legend_constants[49] = "omega in component i_CaL_s (per_second)"
legend_constants[50] = "a in component i_CaL_s (dimensionless)"
legend_constants[51] = "b in component i_CaL_s (dimensionless)"
legend_constants[52] = "f in component i_CaL_s (per_second)"
legend_constants[53] = "g in component i_CaL_s (per_second)"
legend_constants[54] = "f2 in component i_CaL_s (per_second)"
legend_constants[55] = "g2 in component i_CaL_s (per_second)"
legend_algebraic[33] = "alfa2s in component i_CaL_s (per_second)"
legend_algebraic[36] = "beta2s in component i_CaL_s (per_second)"
legend_states[10] = "Cst in component i_CaL_s (dimensionless)"
legend_states[11] = "C1 in component i_CaL_s (dimensionless)"
legend_states[12] = "C2 in component i_CaL_s (dimensionless)"
legend_states[13] = "C3 in component i_CaL_s (dimensionless)"
legend_states[14] = "C4 in component i_CaL_s (dimensionless)"
legend_states[15] = "Co in component i_CaL_s (dimensionless)"
legend_states[16] = "Ccast in component i_CaL_s (dimensionless)"
legend_states[17] = "Cca1 in component i_CaL_s (dimensionless)"
legend_states[18] = "Cca2 in component i_CaL_s (dimensionless)"
legend_states[19] = "Cca3 in component i_CaL_s (dimensionless)"
legend_states[20] = "Cca4 in component i_CaL_s (dimensionless)"
legend_states[21] = "Ccao in component i_CaL_s (dimensionless)"
legend_states[22] = "Ca_ss in component ion_concentrations (millimolar)"
legend_algebraic[43] = "i_CaL_t in component i_CaL_t (microA)"
legend_states[23] = "y in component i_CaL_s_y_gate (dimensionless)"
legend_algebraic[5] = "y_infinity in component i_CaL_s_y_gate (dimensionless)"
legend_algebraic[20] = "tau_y in component i_CaL_s_y_gate (second)"
legend_algebraic[45] = "i_KL_t in component i_CaL_t (microA)"
legend_algebraic[21] = "alfat in component i_CaL_t (per_second)"
legend_algebraic[31] = "betat in component i_CaL_t (per_second)"
legend_algebraic[6] = "gama in component i_CaL_t (per_second)"
legend_constants[56] = "omega in component i_CaL_t (per_second)"
legend_constants[57] = "a in component i_CaL_t (dimensionless)"
legend_constants[58] = "b in component i_CaL_t (dimensionless)"
legend_constants[59] = "f in component i_CaL_t (per_second)"
legend_constants[60] = "g in component i_CaL_t (per_second)"
legend_constants[61] = "f2 in component i_CaL_t (per_second)"
legend_constants[62] = "g2 in component i_CaL_t (per_second)"
legend_algebraic[34] = "alfa2t in component i_CaL_t (per_second)"
legend_algebraic[37] = "beta2t in component i_CaL_t (per_second)"
legend_states[24] = "TCst in component i_CaL_t (dimensionless)"
legend_states[25] = "TC1 in component i_CaL_t (dimensionless)"
legend_states[26] = "TC2 in component i_CaL_t (dimensionless)"
legend_states[27] = "TC3 in component i_CaL_t (dimensionless)"
legend_states[28] = "TC4 in component i_CaL_t (dimensionless)"
legend_states[29] = "TCo in component i_CaL_t (dimensionless)"
legend_states[30] = "TCcast in component i_CaL_t (dimensionless)"
legend_states[31] = "TCca1 in component i_CaL_t (dimensionless)"
legend_states[32] = "TCca2 in component i_CaL_t (dimensionless)"
legend_states[33] = "TCca3 in component i_CaL_t (dimensionless)"
legend_states[34] = "TCca4 in component i_CaL_t (dimensionless)"
legend_states[35] = "TCcao in component i_CaL_t (dimensionless)"
legend_states[36] = "Ca_t in component ion_concentrations (millimolar)"
legend_states[37] = "y in component i_CaL_t_y_gate (dimensionless)"
legend_algebraic[7] = "y_infinity in component i_CaL_t_y_gate (dimensionless)"
legend_algebraic[22] = "tau_y in component i_CaL_t_y_gate (second)"
legend_algebraic[48] = "i_Kr_s in component i_Kr_s (microA)"
legend_algebraic[46] = "E_Kr_s in component i_Kr_s (millivolt)"
legend_states[38] = "xr in component i_Kr_s_xr_gate (dimensionless)"
legend_algebraic[47] = "xri in component i_Kr_s_xri_gate (dimensionless)"
legend_algebraic[8] = "xr_infinity in component i_Kr_s_xr_gate (dimensionless)"
legend_algebraic[23] = "tau_xr in component i_Kr_s_xr_gate (second)"
legend_algebraic[51] = "i_Kr_t in component i_Kr_t (microA)"
legend_algebraic[49] = "E_Kr_t in component i_Kr_t (millivolt)"
legend_states[39] = "xr in component i_Kr_t_xr_gate (dimensionless)"
legend_algebraic[50] = "xri in component i_Kr_t_xri_gate (dimensionless)"
legend_algebraic[9] = "xr_infinity in component i_Kr_t_xr_gate (dimensionless)"
legend_algebraic[24] = "tau_xr in component i_Kr_t_xr_gate (second)"
legend_algebraic[53] = "i_Ks_s in component i_Ks_s (microA)"
legend_algebraic[52] = "E_Ks_s in component i_Ks_s (millivolt)"
legend_constants[63] = "PRNaK in component i_Ks_s (dimensionless)"
legend_states[40] = "Ca_i in component ion_concentrations (millimolar)"
legend_states[41] = "xs in component i_Ks_s_xs_gate (dimensionless)"
legend_algebraic[10] = "xs_infinity in component i_Ks_s_xs_gate (dimensionless)"
legend_algebraic[25] = "tau_xs in component i_Ks_s_xs_gate (second)"
legend_algebraic[55] = "i_Ks_t in component i_Ks_t (microA)"
legend_algebraic[54] = "E_Ks_t in component i_Ks_t (millivolt)"
legend_constants[64] = "PRNaK in component i_Ks_t (dimensionless)"
legend_states[42] = "xs in component i_Ks_t_xs_gate (dimensionless)"
legend_algebraic[11] = "xs_infinity in component i_Ks_t_xs_gate (dimensionless)"
legend_algebraic[26] = "tau_xs in component i_Ks_t_xs_gate (second)"
legend_algebraic[59] = "i_K1_s in component i_K1_s (microA)"
legend_algebraic[56] = "E_K1_s in component i_K1_s (millivolt)"
legend_algebraic[57] = "aK1s in component i_K1_s (dimensionless)"
legend_algebraic[58] = "bK1s in component i_K1_s (dimensionless)"
legend_algebraic[63] = "i_K1_t in component i_K1_t (microA)"
legend_algebraic[60] = "E_K1_t in component i_K1_t (millivolt)"
legend_algebraic[61] = "aK1t in component i_K1_t (dimensionless)"
legend_algebraic[62] = "bK1t in component i_K1_t (dimensionless)"
legend_algebraic[66] = "i_Kp_s in component i_Kp_s (microA)"
legend_algebraic[65] = "kps in component i_Kp_s (dimensionless)"
legend_algebraic[64] = "E_Kp_s in component i_Kp_s (millivolt)"
legend_algebraic[69] = "i_Kp_t in component i_Kp_t (microA)"
legend_algebraic[68] = "kpt in component i_Kp_t (dimensionless)"
legend_algebraic[67] = "E_Kp_t in component i_Kp_t (millivolt)"
legend_algebraic[71] = "i_Kto_s in component i_Kto_s (microA)"
legend_constants[65] = "fr2 in component i_Kto_s (dimensionless)"
legend_algebraic[70] = "E_Kto_s in component i_Kto_s (millivolt)"
legend_states[43] = "r2 in component i_Kto_s_r2_gate (dimensionless)"
legend_states[44] = "r3 in component i_Kto_s_r3_gate (dimensionless)"
legend_constants[66] = "tau_r2 in component i_Kto_s_r2_gate (second)"
legend_algebraic[12] = "r2_infinity in component i_Kto_s_r2_gate (dimensionless)"
legend_constants[67] = "tau_r3 in component i_Kto_s_r3_gate (second)"
legend_algebraic[27] = "r3_infinity in component i_Kto_s_r3_gate (dimensionless)"
legend_algebraic[73] = "i_Kto_t in component i_Kto_t (microA)"
legend_constants[68] = "fr2 in component i_Kto_t (dimensionless)"
legend_algebraic[72] = "E_Kto_t in component i_Kto_t (millivolt)"
legend_states[45] = "r2 in component i_Kto_t_r2_gate (dimensionless)"
legend_states[46] = "r3 in component i_Kto_t_r3_gate (dimensionless)"
legend_constants[69] = "tau_r2 in component i_Kto_t_r2_gate (second)"
legend_algebraic[13] = "r2_infinity in component i_Kto_t_r2_gate (dimensionless)"
legend_algebraic[28] = "r3_infinity in component i_Kto_t_r3_gate (dimensionless)"
legend_constants[70] = "tau_r3 in component i_Kto_t_r3_gate (second)"
legend_algebraic[75] = "i_KNa_s in component i_KNa_s (microA)"
legend_algebraic[74] = "E_KNa_s in component i_KNa_s (millivolt)"
legend_algebraic[77] = "i_KNa_t in component i_KNa_t (microA)"
legend_algebraic[76] = "E_KNa_t in component i_KNa_t (millivolt)"
legend_algebraic[78] = "i_nsNa_s in component i_nsNa_s (microA)"
legend_algebraic[79] = "i_nsNa_t in component i_nsNa_t (microA)"
legend_algebraic[80] = "i_nsK_s in component i_nsK_s (microA)"
legend_algebraic[81] = "i_nsK_t in component i_nsK_t (microA)"
legend_algebraic[82] = "i_Nab_s in component i_Nab_s (microA)"
legend_algebraic[83] = "i_Nab_t in component i_Nab_t (microA)"
legend_algebraic[85] = "i_Cab_s in component i_Cab_s (microA)"
legend_algebraic[84] = "E_Ca_s in component i_Cab_s (millivolt)"
legend_algebraic[87] = "i_Cab_t in component i_Cab_t (microA)"
legend_algebraic[86] = "E_Ca_t in component i_Cab_t (millivolt)"
legend_algebraic[88] = "i_NaCa_s in component i_NaCa_s (microA)"
legend_algebraic[89] = "i_NaCa_t in component i_NaCa_t (microA)"
legend_algebraic[90] = "i_NaK_s in component i_NaK_s (microA)"
legend_algebraic[91] = "i_NaK_t in component i_NaK_t (microA)"
legend_algebraic[93] = "i_pCa_s in component i_pCa_s (microA)"
legend_algebraic[94] = "i_pCa_t in component i_pCa_t (microA)"
legend_algebraic[98] = "i_KATP_s in component i_KATP_s (microA)"
legend_algebraic[95] = "E_KATP_s in component i_KATP_s (millivolt)"
legend_algebraic[102] = "i_KATP_t in component i_KATP_t (microA)"
legend_algebraic[100] = "E_KATP_t in component i_KATP_t (millivolt)"
legend_algebraic[92] = "JteNa in component t_tubular_ion_fluxes (millimolar_per_second)"
legend_algebraic[96] = "JteCa in component t_tubular_ion_fluxes (millimolar_per_second)"
legend_algebraic[104] = "JteK in component t_tubular_ion_fluxes (millimolar_per_second)"
legend_constants[71] = "tau_Na in component t_tubular_ion_fluxes (second)"
legend_constants[72] = "tau_Ca in component t_tubular_ion_fluxes (second)"
legend_constants[73] = "tau_K in component t_tubular_ion_fluxes (second)"
legend_algebraic[97] = "JCaSRup in component JCaSRup (millimolar_per_second)"
legend_algebraic[99] = "JCaSRleak in component JCaSRleak (millimolar_per_second)"
legend_states[47] = "CaSRup in component CaSRup (millimolar)"
legend_algebraic[101] = "Jtr in component Jtr (millimolar_per_second)"
legend_constants[74] = "tau_tr in component Jtr (second)"
legend_states[48] = "CaSRrel in component CaSRrel (millimolar)"
legend_algebraic[103] = "JCaSRrel in component JCaSRrel (millimolar_per_second)"
legend_constants[81] = "kap in component JCaSRrel (per_millimolar4_per_second)"
legend_constants[75] = "kam in component JCaSRrel (per_second)"
legend_constants[82] = "kbp in component JCaSRrel (per_millimolar3_per_second)"
legend_constants[76] = "kbm in component JCaSRrel (per_second)"
legend_constants[77] = "kcp in component JCaSRrel (per_second)"
legend_constants[78] = "kcm in component JCaSRrel (per_second)"
legend_states[49] = "F1 in component JCaSRrel (dimensionless)"
legend_states[50] = "F2 in component JCaSRrel (dimensionless)"
legend_states[51] = "F3 in component JCaSRrel (dimensionless)"
legend_states[52] = "F4 in component JCaSRrel (dimensionless)"
legend_algebraic[105] = "JCad in component JCad (millimolar_per_second)"
legend_constants[79] = "tau_d in component JCad (second)"
legend_states[53] = "BTRH in component ion_concentrations (millimolar)"
legend_states[54] = "BTRL in component ion_concentrations (millimolar)"
legend_algebraic[106] = "dBTRH in component ion_concentrations (millimolar_per_second)"
legend_algebraic[107] = "dBTRL in component ion_concentrations (millimolar_per_second)"
legend_rates[4] = "d/dt m in component i_Na_s_m_gate (dimensionless)"
legend_rates[5] = "d/dt h in component i_Na_s_h_gate (dimensionless)"
legend_rates[8] = "d/dt m in component i_Na_t_m_gate (dimensionless)"
legend_rates[9] = "d/dt h in component i_Na_t_h_gate (dimensionless)"
legend_rates[10] = "d/dt Cst in component i_CaL_s (dimensionless)"
legend_rates[11] = "d/dt C1 in component i_CaL_s (dimensionless)"
legend_rates[12] = "d/dt C2 in component i_CaL_s (dimensionless)"
legend_rates[13] = "d/dt C3 in component i_CaL_s (dimensionless)"
legend_rates[14] = "d/dt C4 in component i_CaL_s (dimensionless)"
legend_rates[15] = "d/dt Co in component i_CaL_s (dimensionless)"
legend_rates[16] = "d/dt Ccast in component i_CaL_s (dimensionless)"
legend_rates[17] = "d/dt Cca1 in component i_CaL_s (dimensionless)"
legend_rates[18] = "d/dt Cca2 in component i_CaL_s (dimensionless)"
legend_rates[19] = "d/dt Cca3 in component i_CaL_s (dimensionless)"
legend_rates[20] = "d/dt Cca4 in component i_CaL_s (dimensionless)"
legend_rates[21] = "d/dt Ccao in component i_CaL_s (dimensionless)"
legend_rates[23] = "d/dt y in component i_CaL_s_y_gate (dimensionless)"
legend_rates[24] = "d/dt TCst in component i_CaL_t (dimensionless)"
legend_rates[25] = "d/dt TC1 in component i_CaL_t (dimensionless)"
legend_rates[26] = "d/dt TC2 in component i_CaL_t (dimensionless)"
legend_rates[27] = "d/dt TC3 in component i_CaL_t (dimensionless)"
legend_rates[28] = "d/dt TC4 in component i_CaL_t (dimensionless)"
legend_rates[29] = "d/dt TCo in component i_CaL_t (dimensionless)"
legend_rates[30] = "d/dt TCcast in component i_CaL_t (dimensionless)"
legend_rates[31] = "d/dt TCca1 in component i_CaL_t (dimensionless)"
legend_rates[32] = "d/dt TCca2 in component i_CaL_t (dimensionless)"
legend_rates[33] = "d/dt TCca3 in component i_CaL_t (dimensionless)"
legend_rates[34] = "d/dt TCca4 in component i_CaL_t (dimensionless)"
legend_rates[35] = "d/dt TCcao in component i_CaL_t (dimensionless)"
legend_rates[37] = "d/dt y in component i_CaL_t_y_gate (dimensionless)"
legend_rates[38] = "d/dt xr in component i_Kr_s_xr_gate (dimensionless)"
legend_rates[39] = "d/dt xr in component i_Kr_t_xr_gate (dimensionless)"
legend_rates[41] = "d/dt xs in component i_Ks_s_xs_gate (dimensionless)"
legend_rates[42] = "d/dt xs in component i_Ks_t_xs_gate (dimensionless)"
legend_rates[43] = "d/dt r2 in component i_Kto_s_r2_gate (dimensionless)"
legend_rates[44] = "d/dt r3 in component i_Kto_s_r3_gate (dimensionless)"
legend_rates[45] = "d/dt r2 in component i_Kto_t_r2_gate (dimensionless)"
legend_rates[46] = "d/dt r3 in component i_Kto_t_r3_gate (dimensionless)"
legend_rates[49] = "d/dt F1 in component JCaSRrel (dimensionless)"
legend_rates[50] = "d/dt F2 in component JCaSRrel (dimensionless)"
legend_rates[51] = "d/dt F3 in component JCaSRrel (dimensionless)"
legend_rates[52] = "d/dt F4 in component JCaSRrel (dimensionless)"
legend_rates[48] = "d/dt CaSRrel in component CaSRrel (millimolar)"
legend_rates[47] = "d/dt CaSRup in component CaSRup (millimolar)"
legend_rates[22] = "d/dt Ca_ss in component ion_concentrations (millimolar)"
legend_rates[40] = "d/dt Ca_i in component ion_concentrations (millimolar)"
legend_rates[53] = "d/dt BTRH in component ion_concentrations (millimolar)"
legend_rates[54] = "d/dt BTRL in component ion_concentrations (millimolar)"
legend_rates[2] = "d/dt Na_i in component ion_concentrations (millimolar)"
legend_rates[3] = "d/dt K_i in component ion_concentrations (millimolar)"
legend_rates[6] = "d/dt Na_t in component ion_concentrations (millimolar)"
legend_rates[36] = "d/dt Ca_t in component ion_concentrations (millimolar)"
legend_rates[7] = "d/dt K_t in component ion_concentrations (millimolar)"
legend_rates[0] = "d/dt Vm_s in component Vm_s (millivolt)"
legend_rates[1] = "d/dt Vm_t in component Vm_t (millivolt)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)
def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
constants[0] = 8310
constants[1] = 310
constants[2] = 96500
constants[3] = 140
constants[4] = 1.8
constants[5] = 5.4
constants[6] = 6.8
constants[7] = 83.33
constants[8] = 148.15e-7
constants[9] = 5.93e-4
constants[10] = 5.93e-4
constants[11] = 0.013
constants[12] = 21028875
states[0] = -8.5207812e1
states[1] = -8.5208034e1
constants[13] = 30
constants[14] = 0.64
constants[15] = 0.0053
constants[16] = 0.526
constants[17] = 0.8
constants[18] = 0.526
constants[19] = 0.1975
constants[20] = 0.526
constants[21] = 0.006
constants[22] = 0.526
constants[23] = 0
constants[24] = 0.526
constants[25] = 0.75
constants[26] = 0.8
constants[27] = 0.12848
constants[28] = 0.526
constants[29] = 1
constants[30] = 0.526
constants[31] = 0.00075
constants[32] = 0.526
constants[33] = 0.0021
constants[34] = 0.526
constants[35] = 48e-4
constants[36] = 0.64
constants[37] = 48e-7
constants[38] = 1.75e-7
constants[39] = 0.526
constants[40] = 1.75e-7
constants[41] = 0.526
constants[42] = 0.00025
constants[43] = 0.526
constants[44] = 1.5
constants[45] = 0.526
constants[46] = 1.15
constants[47] = 0.2
constants[48] = 1
states[2] = 1.1120279e1
states[3] = 1.3678926e2
states[4] = 3.4130493e-3
states[5] = 8.2699973e-1
states[6] = 1.3993239e2
states[7] = 5.4140321e0
states[8] = 3.4129472e-3
states[9] = 8.2700551e-1
constants[49] = 10
constants[50] = 2
constants[51] = 2
constants[52] = 300
constants[53] = 2000
constants[54] = 5
constants[55] = 7000
states[10] = 9.9797984e-1
states[11] = 7.5722514e-5
states[12] = 2.1545646e-9
states[13] = 2.7463178e-14
states[14] = -5.7569102e-17
states[15] = -1.3496934e-17
states[16] = 1.9155065e-3
states[17] = 5.8135383e-7
states[18] = 6.615513e-11
states[19] = 3.3426555e-15
states[20] = 4.6640361e-19
states[21] = 3.7986638e-22
states[22] = 9.5977033e-5
states[23] = 7.8134852e-1
constants[56] = 10
constants[57] = 2
constants[58] = 2
constants[59] = 300
constants[60] = 2000
constants[61] = 5
constants[62] = 7000
states[24] = 9.9798934e-1
states[25] = 7.5720257e-5
states[26] = 2.1544156e-9
states[27] = 2.7459475e-14
states[28] = -5.7367189e-17
states[29] = -1.3449454e-17
states[30] = 1.9155245e-3
states[31] = 5.8133643e-7
states[32] = 6.6150547e-11
states[33] = 3.3423167e-15
states[34] = 4.6165955e-19
states[35] = 3.75926e-22
states[36] = 1.8476402e0
states[37] = 7.813477e-1
states[38] = 2.0469344e-4
states[39] = 2.0469344e-4
constants[63] = 0.01833
states[40] = 8.8787034e-5
states[41] = 6.1359896e-3
constants[64] = 0.01833
states[42] = 6.1359896e-3
constants[65] = 1
states[43] = 9.625701e-1
states[44] = 9.6250049e-1
constants[66] = 0.02
constants[67] = 0.08
constants[68] = 1
states[45] = 9.625701e-1
states[46] = 9.6250049e-1
constants[69] = 0.02
constants[70] = 0.08
constants[71] = 0.2
constants[72] = 0.24
constants[73] = 0.2
states[47] = 1.0200296e0
constants[74] = 0.03448
states[48] = 1.0326252e0
constants[75] = 576
constants[76] = 1930
constants[77] = 18
constants[78] = 0.8
states[49] = 8.053082e-1
states[50] = 2.6639195e-4
states[51] = 4.9455459e-10
states[52] = 1.9442578e-1
constants[79] = 0.003125
states[53] = 9.6700747e-1
states[54] = 8.1740868e-2
constants[80] = 2.00000*3.14159*(power(constants[10], 2.00000))+2.00000*3.14159*constants[10]*constants[11]
constants[81] = 3.00000*1.21500e+13
constants[82] = 4.05000e+09
constants[83] = 3.14159*(power(constants[10], 2.00000))*constants[11]
constants[84] = constants[83]*0.680000*6.00000e-05
constants[85] = constants[83]*0.00316000
constants[86] = constants[83]*0.680000
constants[87] = constants[83]*0.0550000
constants[88] = constants[12]*2.00000*3.14159*constants[10]*constants[11]
constants[89] = ((constants[7]*constants[9])/2.00000)/(3.14159*(power(constants[8], 2.00000))*constants[88])
constants[90] = 2.00000*3.14159*constants[8]*constants[9]*constants[88]
constants[91] = constants[13]*(constants[80]+constants[90])*(1.00000-constants[14])
constants[92] = constants[15]*(constants[80]+constants[90])*(1.00000-constants[16])
constants[93] = constants[17]*(constants[80]+constants[90])*(1.00000-constants[18])
constants[94] = constants[19]*(constants[80]+constants[90])*(1.00000-constants[20])
constants[95] = constants[21]*(constants[80]+constants[90])*(1.00000-constants[22])
constants[96] = constants[23]*(constants[80]+constants[90])*(1.00000-constants[24])
constants[97] = constants[25]*(constants[80]+constants[90])*(1.00000-constants[26])
constants[98] = constants[27]*(constants[80]+constants[90])*(1.00000-constants[28])
constants[99] = constants[29]*(constants[80]+constants[90])*(1.00000-constants[30])
constants[100] = constants[31]*(constants[80]+constants[90])*(1.00000-constants[32])
constants[101] = constants[33]*(constants[80]+constants[90])*(1.00000-constants[34])
constants[102] = constants[46]*(constants[80]+constants[90])*(1.00000-constants[47])
constants[103] = constants[44]*(constants[80]+constants[90])*(1.00000-constants[45])
constants[104] = constants[42]*(constants[80]+constants[90])*(1.00000-constants[43])
constants[105] = constants[35]*(constants[80]+constants[90])*(1.00000-constants[36])
constants[106] = constants[37]*(constants[80]+constants[90])*(1.00000-constants[36])
constants[107] = constants[38]*(constants[80]+constants[90])*(1.00000-constants[39])
constants[108] = constants[40]*(constants[80]+constants[90])*(1.00000-constants[41])
constants[109] = constants[13]*(constants[80]+constants[90])*constants[14]
constants[110] = constants[15]*(constants[80]+constants[90])*constants[16]
constants[111] = constants[17]*(constants[80]+constants[90])*constants[18]
constants[112] = constants[19]*(constants[80]+constants[90])*constants[20]
constants[113] = constants[21]*(constants[80]+constants[90])*constants[22]
constants[114] = constants[23]*(constants[80]+constants[90])*constants[24]
constants[115] = constants[25]*(constants[80]+constants[90])*constants[26]
constants[116] = constants[27]*(constants[80]+constants[90])*constants[28]
constants[117] = constants[29]*(constants[80]+constants[90])*constants[30]
constants[118] = constants[31]*(constants[80]+constants[90])*constants[32]
constants[119] = constants[33]*(constants[80]+constants[90])*constants[34]
constants[120] = constants[46]*(constants[80]+constants[90])*constants[47]
constants[121] = constants[44]*(constants[80]+constants[90])*constants[45]
constants[122] = constants[42]*(constants[80]+constants[90])*constants[43]
constants[123] = constants[35]*(constants[80]+constants[90])*constants[36]
constants[124] = constants[37]*(constants[80]+constants[90])*constants[36]
constants[125] = constants[38]*(constants[80]+constants[90])*constants[39]
constants[126] = constants[40]*(constants[80]+constants[90])*constants[41]
constants[127] = 3.14159*(power(constants[8], 2.00000))*constants[9]*constants[88]
constants[128] = constants[90]*1.00000
constants[129] = constants[80]*1.00000
return (states, constants)
def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
rates[15] = constants[52]*states[14]-constants[53]*states[15]
rates[21] = constants[54]*states[20]-constants[55]*states[21]
rates[29] = constants[59]*states[28]-constants[60]*states[29]
rates[35] = constants[61]*states[34]-constants[62]*states[35]
rates[49] = states[50]*constants[75]-states[49]*constants[81]*(power(states[22], 4.00000))
rates[50] = (states[49]*constants[81]*(power(states[22], 4.00000))+states[51]*constants[76]+states[52]*constants[78])-states[50]*(constants[75]+constants[82]*(power(states[22], 3.00000))+constants[77])
rates[51] = states[50]*constants[82]*(power(states[22], 3.00000))-states[51]*constants[76]
rates[52] = states[50]*constants[77]-states[52]*constants[78]
algebraic[12] = 1.00600/(1.00000+exp((states[0]+36.6900+10.0000)/12.4300))
rates[43] = (algebraic[12]-states[43])/constants[66]
algebraic[13] = 1.00600/(1.00000+exp((states[1]+36.6900+10.0000)/12.4300))
rates[45] = (algebraic[13]-states[45])/constants[69]
algebraic[0] = 1.00000/(1.00000+exp(((states[0]+52.2000)-9.00000)/-7.40000))
algebraic[15] = (0.00100000/(101.600*exp(states[0]*0.113500)+0.0226800*exp(-0.0717000*states[0]))+0.000100000)/4.83000
rates[4] = (algebraic[0]-states[4])/algebraic[15]
algebraic[1] = 1.00000/(1.00000+exp(((states[0]+85.6000)-9.00000)/5.50000))
algebraic[16] = (0.00100000/(1.13810e-06*exp(-0.101700*states[0])+6.53700*exp(states[0]*0.0801600))+0.000500000)/4.83000
rates[5] = (algebraic[1]-states[5])/algebraic[16]
algebraic[2] = 1.00000/(1.00000+exp(((states[1]+52.2000)-9.00000)/-7.40000))
algebraic[17] = (0.00100000/(101.600*exp(states[1]*0.113500)+0.0226800*exp(-0.0717000*states[1]))+0.000100000)/4.83000
rates[8] = (algebraic[2]-states[8])/algebraic[17]
algebraic[3] = 1.00000/(1.00000+exp(((states[1]+85.6000)-9.00000)/5.50000))
algebraic[18] = (0.00100000/(1.13810e-06*exp(-0.101700*states[1])+6.53700*exp(states[1]*0.0801600))+0.000500000)/4.83000
rates[9] = (algebraic[3]-states[9])/algebraic[18]
algebraic[5] = 1.00000/(1.00000+exp((states[0]+35.0000)/6.00000))
algebraic[20] = 0.00100000/(0.0200000+0.0197000*exp(-(power((states[0]+10.0000)*0.0337000, 2.00000))))+0.550000/(1.00000+exp(((states[0]+40.0000)/9.50000)*4.00000))
rates[23] = (algebraic[5]-states[23])/algebraic[20]
algebraic[7] = 1.00000/(1.00000+exp((states[1]+35.0000)/6.00000))
algebraic[22] = 0.00100000/(0.0200000+0.0197000*exp(-(power((states[1]+10.0000)*0.0337000, 2.00000))))+0.550000/(1.00000+exp(((states[1]+40.0000)/9.50000)*4.00000))
rates[37] = (algebraic[7]-states[37])/algebraic[22]
algebraic[8] = 1.00000/(1.00000+exp(-(states[0]+21.5000)/7.50000))
algebraic[23] = 0.00100000/((0.00138000*(states[0]+14.2000))/(1.00000-exp(-0.123000*(states[0]+14.2000)))+(0.000610000*(states[0]+38.9000))/(exp(0.145000*(states[0]+38.9000))-1.00000))
rates[38] = (algebraic[8]-states[38])/algebraic[23]
algebraic[9] = 1.00000/(1.00000+exp(-(states[1]+21.5000)/7.50000))
algebraic[24] = 0.00100000/((0.00138000*(states[1]+14.2000))/(1.00000-exp(-0.123000*(states[1]+14.2000)))+(0.000610000*(states[1]+38.9000))/(exp(0.145000*(states[1]+38.9000))-1.00000))
rates[39] = (algebraic[9]-states[39])/algebraic[24]
algebraic[10] = 1.00000/(1.00000+exp(-(states[0]-1.50000)/16.7000))
algebraic[25] = 0.00100000/((7.19000e-05*(states[0]+30.0000))/(1.00000-exp(-0.148000*(states[0]+30.0000)))+(0.000131000*(states[0]+30.0000))/(exp(0.0687000*(states[0]+30.0000))-1.00000))
rates[41] = (algebraic[10]-states[41])/algebraic[25]
algebraic[11] = 1.00000/(1.00000+exp(-(states[1]-1.50000)/16.7000))
algebraic[26] = 0.00100000/((7.19000e-05*(states[1]+30.0000))/(1.00000-exp(-0.148000*(states[1]+30.0000)))+(0.000131000*(states[1]+30.0000))/(exp(0.0687000*(states[1]+30.0000))-1.00000))
rates[42] = (algebraic[11]-states[42])/algebraic[26]
algebraic[27] = algebraic[12]
rates[44] = (algebraic[27]-states[44])/constants[67]
algebraic[28] = algebraic[13]
rates[46] = (algebraic[28]-states[46])/constants[70]
algebraic[4] = 400.000*exp((states[0]+12.0000)/10.0000)
algebraic[19] = 50.0000*exp(-(states[0]+12.0000)/13.0000)
algebraic[30] = 187.500*states[22]
rates[10] = (algebraic[19]*states[11]+constants[49]*states[16])-(4.00000*algebraic[4]+algebraic[30])*states[10]
rates[11] = (4.00000*algebraic[4]*states[10]+2.00000*algebraic[19]*states[12]+(constants[49]/constants[51])*states[17])-(algebraic[19]+3.00000*algebraic[4]+algebraic[30]*constants[50])*states[11]
rates[12] = (3.00000*algebraic[4]*states[11]+3.00000*algebraic[19]*states[13]+(constants[49]/(power(constants[51], 2.00000)))*states[18])-(2.00000*algebraic[19]+2.00000*algebraic[4]+algebraic[30]*(power(constants[50], 2.00000)))*states[12]
rates[13] = (2.00000*algebraic[4]*states[12]+4.00000*algebraic[19]*states[14]+(constants[49]/(power(constants[51], 3.00000)))*states[19])-(3.00000*algebraic[19]+algebraic[4]+algebraic[30]*(power(constants[50], 3.00000)))*states[13]
rates[14] = (algebraic[4]*states[13]+constants[53]*states[15]+(constants[49]/(power(constants[51], 4.00000)))*states[20])-(4.00000*algebraic[19]+constants[52]+algebraic[30]*(power(constants[50], 4.00000)))*states[14]
algebraic[21] = 400.000*exp((states[1]+12.0000)/10.0000)
algebraic[31] = 50.0000*exp(-(states[1]+12.0000)/13.0000)
algebraic[6] = 187.500*states[22]
rates[24] = (algebraic[31]*states[25]+constants[56]*states[30])-(4.00000*algebraic[21]+algebraic[6])*states[24]
rates[25] = (4.00000*algebraic[21]*states[24]+2.00000*algebraic[31]*states[26]+(constants[56]/constants[58])*states[31])-(algebraic[31]+3.00000*algebraic[21]+algebraic[6]*constants[57])*states[25]
rates[26] = (3.00000*algebraic[21]*states[25]+3.00000*algebraic[31]*states[27]+(constants[56]/(power(constants[58], 2.00000)))*states[32])-(2.00000*algebraic[31]+2.00000*algebraic[21]+algebraic[6]*(power(constants[57], 2.00000)))*states[26]
rates[27] = (2.00000*algebraic[21]*states[26]+4.00000*algebraic[31]*states[28]+(constants[56]/(power(constants[58], 3.00000)))*states[33])-(3.00000*algebraic[31]+algebraic[21]+algebraic[6]*(power(constants[57], 3.00000)))*states[27]
rates[28] = (algebraic[21]*states[27]+constants[60]*states[29]+(constants[56]/(power(constants[58], 4.00000)))*states[34])-(4.00000*algebraic[31]+constants[59]+algebraic[6]*(power(constants[57], 4.00000)))*states[28]
algebraic[33] = algebraic[4]*constants[50]
algebraic[36] = algebraic[19]/constants[51]
rates[16] = (algebraic[36]*states[17]+algebraic[30]*states[10])-(4.00000*algebraic[33]+constants[49])*states[16]
rates[17] = (4.00000*algebraic[33]*states[16]+2.00000*algebraic[36]*states[18]+algebraic[30]*constants[50]*states[11])-(algebraic[36]+3.00000*algebraic[33]+constants[49]/constants[51])*states[17]
rates[18] = (3.00000*algebraic[33]*states[17]+3.00000*algebraic[36]*states[19]+algebraic[30]*(power(constants[50], 2.00000))*states[12])-(2.00000*algebraic[36]+2.00000*algebraic[33]+constants[49]/(power(constants[51], 2.00000)))*states[18]
rates[19] = (2.00000*algebraic[33]*states[18]+4.00000*algebraic[36]*states[20]+algebraic[30]*(power(constants[50], 3.00000))*states[13])-(3.00000*algebraic[36]+algebraic[33]+constants[49]/(power(constants[51], 3.00000)))*states[19]
rates[20] = (algebraic[33]*states[19]+constants[55]*states[21]+algebraic[30]*(power(constants[50], 4.00000))*states[14])-(4.00000*algebraic[36]+constants[54]+constants[49]/(power(constants[51], 4.00000)))*states[20]
algebraic[34] = algebraic[21]*constants[57]
algebraic[37] = algebraic[31]/constants[58]
rates[30] = (algebraic[37]*states[31]+algebraic[6]*states[24])-(4.00000*algebraic[34]+constants[56])*states[30]
rates[31] = (4.00000*algebraic[34]*states[30]+2.00000*algebraic[37]*states[32]+algebraic[6]*constants[57]*states[25])-(algebraic[37]+3.00000*algebraic[34]+constants[56]/constants[58])*states[31]
rates[32] = (3.00000*algebraic[34]*states[31]+3.00000*algebraic[37]*states[33]+algebraic[6]*(power(constants[57], 2.00000))*states[26])-(2.00000*algebraic[37]+2.00000*algebraic[34]+constants[56]/(power(constants[58], 2.00000)))*states[32]
rates[33] = (2.00000*algebraic[34]*states[32]+4.00000*algebraic[37]*states[34]+algebraic[6]*(power(constants[57], 3.00000))*states[27])-(3.00000*algebraic[37]+algebraic[34]+constants[56]/(power(constants[58], 3.00000)))*states[33]
rates[34] = (algebraic[34]*states[33]+constants[62]*states[35]+algebraic[6]*(power(constants[57], 4.00000))*states[28])-(4.00000*algebraic[37]+constants[61]+constants[56]/(power(constants[58], 4.00000)))*states[34]
algebraic[35] = constants[91]*(power(states[4], 3.00000))*states[5]*(states[0]-(log((constants[3]+0.120000*constants[5])/(states[2]+0.120000*states[3]))*constants[0]*constants[1])/constants[2])
algebraic[39] = constants[109]*(power(states[8], 3.00000))*states[9]*(states[1]-(log((states[6]+0.120000*states[7])/(states[2]+0.120000*states[3]))*constants[0]*constants[1])/constants[2])
algebraic[40] = (constants[92]/(1.00000+exp((-54.0000-states[0])/8.00000)))*(states[0]-(log((constants[3]+0.120000*constants[5])/(states[2]+0.120000*states[3]))*constants[0]*constants[1])/constants[2])
algebraic[41] = (constants[110]/(1.00000+exp((-54.0000-states[1])/8.00000)))*(states[1]-(log((states[6]+0.120000*states[7])/(states[2]+0.120000*states[3]))*constants[0]*constants[1])/constants[2])
algebraic[78] = ((((1.00000*constants[107]*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.750000*states[2]*exp((states[0]*constants[2])/(constants[0]*constants[1]))-0.750000*constants[3]))/(exp((states[0]*constants[2])/(constants[0]*constants[1]))-1.00000))/(1.00000+power(0.00250000/states[40], 3.00000))
algebraic[79] = ((((1.00000*constants[125]*states[1]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.750000*states[2]*exp((states[1]*constants[2])/(constants[0]*constants[1]))-0.750000*states[6]))/(exp((states[1]*constants[2])/(constants[0]*constants[1]))-1.00000))/(1.00000+power(0.00250000/states[40], 3.00000))
algebraic[32] = (log(constants[3]/states[2])*constants[0]*constants[1])/constants[2]
algebraic[82] = constants[100]*(states[0]-algebraic[32])
algebraic[38] = (log(states[6]/states[2])*constants[0]*constants[1])/constants[2]
algebraic[83] = constants[118]*(states[1]-algebraic[38])
algebraic[88] = (constants[104]*exp((-0.850000*states[0]*constants[2])/(constants[0]*constants[1]))*(exp((states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[2], 3.00000))*constants[4]-(power(constants[3], 3.00000))*states[40]))/(1.00000+0.000100000*exp((-0.850000*states[0]*constants[2])/(constants[0]*constants[1]))*(exp((states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[2], 3.00000))*constants[4]+(power(constants[3], 3.00000))*states[40]))
algebraic[89] = (constants[122]*exp((-0.850000*states[1]*constants[2])/(constants[0]*constants[1]))*(exp((states[1]*constants[2])/(constants[0]*constants[1]))*(power(states[2], 3.00000))*states[36]-(power(states[6], 3.00000))*states[40]))/(1.00000+0.000100000*exp((-0.850000*states[1]*constants[2])/(constants[0]*constants[1]))*(exp((states[1]*constants[2])/(constants[0]*constants[1]))*(power(states[2], 3.00000))*states[36]+(power(states[6], 3.00000))*states[40]))
algebraic[90] = ((((constants[103]/(1.00000+0.124500*exp((-0.100000*states[0]*constants[2])/(constants[0]*constants[1]))+((0.0365000*1.00000)/7.00000)*(exp(constants[3]/67.3000)-1.00000)*exp((-states[0]*constants[2])/(constants[0]*constants[1]))))*1.00000)/(1.00000+power(10.0000/states[2], 1.50000)))*constants[5])/(constants[5]+1.50000)
algebraic[91] = ((((constants[121]/(1.00000+0.124500*exp((-0.100000*states[1]*constants[2])/(constants[0]*constants[1]))+((0.0365000*1.00000)/7.00000)*(exp(states[6]/67.3000)-1.00000)*exp((-states[1]*constants[2])/(constants[0]*constants[1]))))*1.00000)/(1.00000+power(10.0000/states[2], 1.50000)))*states[7])/(states[7]+1.50000)
rates[2] = -(algebraic[35]+algebraic[39]+algebraic[40]+algebraic[41]+algebraic[78]+algebraic[79]+algebraic[82]+algebraic[83]+3.00000*algebraic[88]+3.00000*algebraic[89]+3.00000*algebraic[90]+3.00000*algebraic[91])/(constants[2]*constants[86])
algebraic[92] = ((1.00000*constants[127])/constants[71])*(states[6]-constants[3])
rates[6] = ((algebraic[39]+algebraic[41]+algebraic[79]+algebraic[83]+3.00000*algebraic[89]+3.00000*algebraic[91])/constants[2]-1.00000*algebraic[92])/constants[127]
algebraic[43] = (((1.00000*constants[123]*4.00000*(states[29]+states[35])*states[37]*states[1]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.00100000*exp((2.00000*states[1]*constants[2])/(constants[0]*constants[1]))-0.341000*states[36]))/(exp((2.00000*states[1]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[86] = (log(states[36]/states[40])*constants[0]*constants[1])/(2.00000*constants[2])
algebraic[87] = constants[119]*(states[1]-algebraic[86])
algebraic[94] = (constants[120]*states[40])/(0.000500000+states[40])
algebraic[96] = ((1.00000*constants[127])/constants[72])*(states[36]-constants[4])
rates[36] = ((-2.00000*algebraic[89]+algebraic[43]+algebraic[87]+algebraic[94])/(2.00000*constants[2])-1.00000*algebraic[96])/constants[127]
algebraic[14] = 1000.00*(states[1]/constants[89]-states[0]/constants[89])
algebraic[29] = custom_piecewise([greater_equal(voi-floor(voi/constants[48])*constants[48] , 0.00000) & less_equal(voi-floor(voi/constants[48])*constants[48] , 0.00100000), 45.0000*(constants[80]+constants[90]) , True, 0.00000])
algebraic[42] = (((1.00000*constants[105]*4.00000*(states[15]+states[21])*states[23]*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.00100000*exp((2.00000*states[0]*constants[2])/(constants[0]*constants[1]))-0.341000*constants[4]))/(exp((2.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[44] = (((((1.00000*constants[106])/(1.00000-(algebraic[42]+algebraic[43])/(0.458000*(constants[80]+constants[90]))))*(states[15]+states[21])*states[23]*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(states[3]*exp((states[0]*constants[2])/(constants[0]*constants[1]))-constants[5]))/(exp((states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[46] = (log(constants[5]/states[3])*constants[0]*constants[1])/constants[2]
algebraic[47] = 1.00000/(1.00000+exp((states[0]+9.00000)/22.4000))
algebraic[48] = constants[93]*0.0261400*(power(constants[5]/5.40000, 1.0/2))*states[38]*algebraic[47]*(states[0]-algebraic[46])
algebraic[52] = (log((constants[5]+constants[63]*constants[3])/(states[3]+constants[63]*states[2]))*constants[0]*constants[1])/constants[2]
algebraic[53] = constants[94]*(0.230800+0.769200/(1.00000+exp((-log(1.00000*states[40], 10)-4.20000)/0.600000)))*(power(states[41], 2.00000))*(states[0]-algebraic[52])
algebraic[56] = algebraic[46]
algebraic[57] = 1020.00/(1.00000+exp(0.238500*((states[0]-algebraic[56])-59.2150)))
algebraic[58] = (1000.00*(0.491240*exp(0.0803200*((states[0]-algebraic[56])+5.47600))+exp(0.0617500*((states[0]-algebraic[56])-594.310))))/(1.00000+exp(-0.514300*((states[0]-algebraic[56])+4.75300)))
algebraic[59] = ((constants[97]*(power(constants[5]/5.40000, 1.0/2))*algebraic[57])/(algebraic[57]+algebraic[58]))*(states[0]-algebraic[56])
algebraic[65] = 1.00000/(1.00000+exp((20.0000-states[0])/5.00000))
algebraic[64] = algebraic[46]
algebraic[66] = constants[95]*algebraic[65]*(states[0]-algebraic[64])
algebraic[70] = algebraic[46]
algebraic[71] = (constants[96]/((1.00000+exp((states[0]+57.5300)/-5.86300))*(1.00000+exp((states[0]-45.8000)/25.8700))))*(states[43]*constants[65]+states[44]*(1.00000-constants[65]))*(states[0]-algebraic[70])
algebraic[74] = algebraic[46]
algebraic[75] = ((constants[98]*(0.800000-0.650000/(1.00000+exp((states[0]+125.000)/15.0000)))*0.850000)/(1.00000+power(66.0000/states[2], 2.80000)))*(states[0]-algebraic[74])
algebraic[80] = ((((1.00000*constants[108]*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.750000*states[3]*exp((states[0]*constants[2])/(constants[0]*constants[1]))-0.750000*constants[5]))/(exp((states[0]*constants[2])/(constants[0]*constants[1]))-1.00000))/(1.00000+power(0.00250000/states[40], 3.00000))
algebraic[84] = (log(constants[4]/states[40])*constants[0]*constants[1])/(2.00000*constants[2])
algebraic[85] = constants[101]*(states[0]-algebraic[84])
algebraic[93] = (constants[102]*states[40])/(0.000500000+states[40])
algebraic[95] = algebraic[46]
algebraic[98] = ((constants[99]*1.00000)/(1.00000+power(constants[6]/0.114000, 2.00000)))*(power(constants[5]/4.00000, 0.240000))*(states[0]-algebraic[95])
rates[0] = (1000.00*(((((((((((((((((((algebraic[29]+algebraic[14])-algebraic[35])-algebraic[40])-algebraic[42])-algebraic[44])-algebraic[53])-algebraic[48])-algebraic[59])-algebraic[66])-algebraic[75])-algebraic[98])-algebraic[78])-algebraic[80])-algebraic[82])-algebraic[85])-algebraic[88])-algebraic[90])-algebraic[93])-algebraic[71]))/constants[129]
algebraic[97] = (1.00000*1000.00*constants[86]*0.00180000*(power(states[40], 2.00000)))/(power(states[40], 2.00000)+power(0.000500000, 2.00000))
algebraic[99] = 1250.00*constants[86]*5.80000e-05*(states[47]-states[40])
algebraic[101] = ((1.00000*constants[85])/constants[74])*(states[47]-states[48])
rates[47] = ((algebraic[97]-algebraic[99])-algebraic[101])/(1.00000*constants[87])
algebraic[103] = 1800.00*constants[85]*(states[50]+states[51])*(states[48]-states[22])
rates[48] = ((1.00000/(1.00000+(15.0000*0.800000)/(power(0.800000+states[48], 2.00000))))*(algebraic[101]-algebraic[103]))/constants[85]
algebraic[45] = (((((1.00000*constants[124])/(1.00000-(algebraic[42]+algebraic[43])/(0.458000*(constants[80]+constants[90]))))*(states[29]+states[35])*states[37]*states[1]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(states[3]*exp((states[1]*constants[2])/(constants[0]*constants[1]))-states[7]))/(exp((states[1]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[49] = (log(states[7]/states[3])*constants[0]*constants[1])/constants[2]
algebraic[50] = 1.00000/(1.00000+exp((states[1]+9.00000)/22.4000))
algebraic[51] = constants[111]*0.0261400*(power(states[7]/5.40000, 1.0/2))*states[39]*algebraic[50]*(states[1]-algebraic[49])
algebraic[54] = (log((states[7]+constants[64]*states[6])/(states[3]+constants[64]*states[2]))*constants[0]*constants[1])/constants[2]
algebraic[55] = constants[112]*(0.230800+0.769200/(1.00000+exp((-log(1.00000*states[40], 10)-4.20000)/0.600000)))*(power(states[42], 2.00000))*(states[1]-algebraic[54])
algebraic[60] = algebraic[49]
algebraic[61] = 1020.00/(1.00000+exp(0.238500*((states[1]-algebraic[60])-59.2150)))
algebraic[62] = (1000.00*(0.491240*exp(0.0803200*((states[1]-algebraic[60])+5.47600))+exp(0.0617500*((states[1]-algebraic[60])-594.310))))/(1.00000+exp(-0.514300*((states[1]-algebraic[60])+4.75300)))
algebraic[63] = ((constants[115]*(power(states[7]/5.40000, 1.0/2))*algebraic[61])/(algebraic[61]+algebraic[62]))*(states[1]-algebraic[60])
algebraic[68] = 1.00000/(1.00000+exp((20.0000-states[1])/5.00000))
algebraic[67] = algebraic[49]
algebraic[69] = constants[113]*algebraic[68]*(states[1]-algebraic[67])
algebraic[72] = algebraic[49]
algebraic[73] = (constants[114]/((1.00000+exp((states[1]+57.5300)/-5.86300))*(1.00000+exp((states[1]-45.8000)/25.8700))))*(states[45]*constants[68]+states[46]*(1.00000-constants[68]))*(states[1]-algebraic[72])
algebraic[76] = algebraic[49]
algebraic[77] = ((constants[116]*(0.800000-0.650000/(1.00000+exp((states[1]+125.000)/15.0000)))*0.850000)/(1.00000+power(66.0000/states[2], 2.80000)))*(states[1]-algebraic[76])
algebraic[81] = ((((1.00000*constants[126]*states[1]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.750000*states[3]*exp((states[1]*constants[2])/(constants[0]*constants[1]))-0.750000*states[7]))/(exp((states[1]*constants[2])/(constants[0]*constants[1]))-1.00000))/(1.00000+power(0.00250000/states[40], 3.00000))
algebraic[100] = algebraic[49]
algebraic[102] = ((constants[117]*1.00000)/(1.00000+power(constants[6]/0.114000, 2.00000)))*(power(states[7]/4.00000, 0.240000))*(states[1]-algebraic[100])
rates[3] = -((((-0.00000*algebraic[29]+algebraic[53]+algebraic[55]+algebraic[48]+algebraic[51]+algebraic[59]+algebraic[63]+algebraic[66]+algebraic[69]+algebraic[44]+algebraic[45]+algebraic[75]+algebraic[77]+algebraic[80]+algebraic[81])-2.00000*algebraic[90])-2.00000*algebraic[91])+algebraic[98]+algebraic[102]+algebraic[71]+algebraic[73])/(constants[2]*constants[86])
rates[1] = (1000.00*((((((((((((((((((-algebraic[14]-algebraic[39])-algebraic[41])-algebraic[43])-algebraic[45])-algebraic[55])-algebraic[51])-algebraic[63])-algebraic[69])-algebraic[77])-algebraic[102])-algebraic[79])-algebraic[81])-algebraic[83])-algebraic[87])-algebraic[89])-algebraic[91])-algebraic[94])-algebraic[73]))/constants[128]
algebraic[105] = (1.00000*(states[22]-states[40])*constants[86])/constants[79]
rates[22] = (1.00000/(1.00000+(0.0500000*0.00238000)/(power(0.00238000+states[22], 2.00000))))*((-(algebraic[42]+algebraic[43])/(2.00000*constants[2]*constants[84])+(1.00000*algebraic[103])/constants[84])-(1.00000*algebraic[105])/constants[84])
algebraic[104] = ((1.00000*constants[127])/constants[73])*(states[7]-constants[5])
rates[7] = ((((algebraic[55]+algebraic[51]+algebraic[63]+algebraic[69]+algebraic[77]+algebraic[45]+algebraic[81])-2.00000*algebraic[91])+algebraic[102]+algebraic[73])/constants[2]-1.00000*algebraic[104])/constants[127]
algebraic[106] = 20000.0*states[40]*(1.00000-states[53])-0.0700000*states[53]
rates[53] = algebraic[106]
algebraic[107] = 40000.0*states[40]*(1.00000-states[54])-states[54]*40.0000
rates[40] = (1.00000/(1.00000+(0.0500000*0.00238000)/(power(0.00238000+states[40], 2.00000))))*((((-2.00000*(algebraic[88]+algebraic[89])+algebraic[85]+algebraic[87]+algebraic[93]+algebraic[94])/(-2.00000*constants[2]*constants[86])+(1.00000*((algebraic[105]+algebraic[99])-algebraic[97]))/constants[86])-algebraic[106]*0.140000)-algebraic[107]*0.0700000)
rates[54] = algebraic[107]
return(rates)
def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
algebraic[12] = 1.00600/(1.00000+exp((states[0]+36.6900+10.0000)/12.4300))
algebraic[13] = 1.00600/(1.00000+exp((states[1]+36.6900+10.0000)/12.4300))
algebraic[0] = 1.00000/(1.00000+exp(((states[0]+52.2000)-9.00000)/-7.40000))
algebraic[15] = (0.00100000/(101.600*exp(states[0]*0.113500)+0.0226800*exp(-0.0717000*states[0]))+0.000100000)/4.83000
algebraic[1] = 1.00000/(1.00000+exp(((states[0]+85.6000)-9.00000)/5.50000))
algebraic[16] = (0.00100000/(1.13810e-06*exp(-0.101700*states[0])+6.53700*exp(states[0]*0.0801600))+0.000500000)/4.83000
algebraic[2] = 1.00000/(1.00000+exp(((states[1]+52.2000)-9.00000)/-7.40000))
algebraic[17] = (0.00100000/(101.600*exp(states[1]*0.113500)+0.0226800*exp(-0.0717000*states[1]))+0.000100000)/4.83000
algebraic[3] = 1.00000/(1.00000+exp(((states[1]+85.6000)-9.00000)/5.50000))
algebraic[18] = (0.00100000/(1.13810e-06*exp(-0.101700*states[1])+6.53700*exp(states[1]*0.0801600))+0.000500000)/4.83000
algebraic[5] = 1.00000/(1.00000+exp((states[0]+35.0000)/6.00000))
algebraic[20] = 0.00100000/(0.0200000+0.0197000*exp(-(power((states[0]+10.0000)*0.0337000, 2.00000))))+0.550000/(1.00000+exp(((states[0]+40.0000)/9.50000)*4.00000))
algebraic[7] = 1.00000/(1.00000+exp((states[1]+35.0000)/6.00000))
algebraic[22] = 0.00100000/(0.0200000+0.0197000*exp(-(power((states[1]+10.0000)*0.0337000, 2.00000))))+0.550000/(1.00000+exp(((states[1]+40.0000)/9.50000)*4.00000))
algebraic[8] = 1.00000/(1.00000+exp(-(states[0]+21.5000)/7.50000))
algebraic[23] = 0.00100000/((0.00138000*(states[0]+14.2000))/(1.00000-exp(-0.123000*(states[0]+14.2000)))+(0.000610000*(states[0]+38.9000))/(exp(0.145000*(states[0]+38.9000))-1.00000))
algebraic[9] = 1.00000/(1.00000+exp(-(states[1]+21.5000)/7.50000))
algebraic[24] = 0.00100000/((0.00138000*(states[1]+14.2000))/(1.00000-exp(-0.123000*(states[1]+14.2000)))+(0.000610000*(states[1]+38.9000))/(exp(0.145000*(states[1]+38.9000))-1.00000))
algebraic[10] = 1.00000/(1.00000+exp(-(states[0]-1.50000)/16.7000))
algebraic[25] = 0.00100000/((7.19000e-05*(states[0]+30.0000))/(1.00000-exp(-0.148000*(states[0]+30.0000)))+(0.000131000*(states[0]+30.0000))/(exp(0.0687000*(states[0]+30.0000))-1.00000))
algebraic[11] = 1.00000/(1.00000+exp(-(states[1]-1.50000)/16.7000))
algebraic[26] = 0.00100000/((7.19000e-05*(states[1]+30.0000))/(1.00000-exp(-0.148000*(states[1]+30.0000)))+(0.000131000*(states[1]+30.0000))/(exp(0.0687000*(states[1]+30.0000))-1.00000))
algebraic[27] = algebraic[12]
algebraic[28] = algebraic[13]
algebraic[4] = 400.000*exp((states[0]+12.0000)/10.0000)
algebraic[19] = 50.0000*exp(-(states[0]+12.0000)/13.0000)
algebraic[30] = 187.500*states[22]
algebraic[21] = 400.000*exp((states[1]+12.0000)/10.0000)
algebraic[31] = 50.0000*exp(-(states[1]+12.0000)/13.0000)
algebraic[6] = 187.500*states[22]
algebraic[33] = algebraic[4]*constants[50]
algebraic[36] = algebraic[19]/constants[51]
algebraic[34] = algebraic[21]*constants[57]
algebraic[37] = algebraic[31]/constants[58]
algebraic[35] = constants[91]*(power(states[4], 3.00000))*states[5]*(states[0]-(log((constants[3]+0.120000*constants[5])/(states[2]+0.120000*states[3]))*constants[0]*constants[1])/constants[2])
algebraic[39] = constants[109]*(power(states[8], 3.00000))*states[9]*(states[1]-(log((states[6]+0.120000*states[7])/(states[2]+0.120000*states[3]))*constants[0]*constants[1])/constants[2])
algebraic[40] = (constants[92]/(1.00000+exp((-54.0000-states[0])/8.00000)))*(states[0]-(log((constants[3]+0.120000*constants[5])/(states[2]+0.120000*states[3]))*constants[0]*constants[1])/constants[2])
algebraic[41] = (constants[110]/(1.00000+exp((-54.0000-states[1])/8.00000)))*(states[1]-(log((states[6]+0.120000*states[7])/(states[2]+0.120000*states[3]))*constants[0]*constants[1])/constants[2])
algebraic[78] = ((((1.00000*constants[107]*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.750000*states[2]*exp((states[0]*constants[2])/(constants[0]*constants[1]))-0.750000*constants[3]))/(exp((states[0]*constants[2])/(constants[0]*constants[1]))-1.00000))/(1.00000+power(0.00250000/states[40], 3.00000))
algebraic[79] = ((((1.00000*constants[125]*states[1]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.750000*states[2]*exp((states[1]*constants[2])/(constants[0]*constants[1]))-0.750000*states[6]))/(exp((states[1]*constants[2])/(constants[0]*constants[1]))-1.00000))/(1.00000+power(0.00250000/states[40], 3.00000))
algebraic[32] = (log(constants[3]/states[2])*constants[0]*constants[1])/constants[2]
algebraic[82] = constants[100]*(states[0]-algebraic[32])
algebraic[38] = (log(states[6]/states[2])*constants[0]*constants[1])/constants[2]
algebraic[83] = constants[118]*(states[1]-algebraic[38])
algebraic[88] = (constants[104]*exp((-0.850000*states[0]*constants[2])/(constants[0]*constants[1]))*(exp((states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[2], 3.00000))*constants[4]-(power(constants[3], 3.00000))*states[40]))/(1.00000+0.000100000*exp((-0.850000*states[0]*constants[2])/(constants[0]*constants[1]))*(exp((states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[2], 3.00000))*constants[4]+(power(constants[3], 3.00000))*states[40]))
algebraic[89] = (constants[122]*exp((-0.850000*states[1]*constants[2])/(constants[0]*constants[1]))*(exp((states[1]*constants[2])/(constants[0]*constants[1]))*(power(states[2], 3.00000))*states[36]-(power(states[6], 3.00000))*states[40]))/(1.00000+0.000100000*exp((-0.850000*states[1]*constants[2])/(constants[0]*constants[1]))*(exp((states[1]*constants[2])/(constants[0]*constants[1]))*(power(states[2], 3.00000))*states[36]+(power(states[6], 3.00000))*states[40]))
algebraic[90] = ((((constants[103]/(1.00000+0.124500*exp((-0.100000*states[0]*constants[2])/(constants[0]*constants[1]))+((0.0365000*1.00000)/7.00000)*(exp(constants[3]/67.3000)-1.00000)*exp((-states[0]*constants[2])/(constants[0]*constants[1]))))*1.00000)/(1.00000+power(10.0000/states[2], 1.50000)))*constants[5])/(constants[5]+1.50000)
algebraic[91] = ((((constants[121]/(1.00000+0.124500*exp((-0.100000*states[1]*constants[2])/(constants[0]*constants[1]))+((0.0365000*1.00000)/7.00000)*(exp(states[6]/67.3000)-1.00000)*exp((-states[1]*constants[2])/(constants[0]*constants[1]))))*1.00000)/(1.00000+power(10.0000/states[2], 1.50000)))*states[7])/(states[7]+1.50000)
algebraic[92] = ((1.00000*constants[127])/constants[71])*(states[6]-constants[3])
algebraic[43] = (((1.00000*constants[123]*4.00000*(states[29]+states[35])*states[37]*states[1]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.00100000*exp((2.00000*states[1]*constants[2])/(constants[0]*constants[1]))-0.341000*states[36]))/(exp((2.00000*states[1]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[86] = (log(states[36]/states[40])*constants[0]*constants[1])/(2.00000*constants[2])
algebraic[87] = constants[119]*(states[1]-algebraic[86])
algebraic[94] = (constants[120]*states[40])/(0.000500000+states[40])
algebraic[96] = ((1.00000*constants[127])/constants[72])*(states[36]-constants[4])
algebraic[14] = 1000.00*(states[1]/constants[89]-states[0]/constants[89])
algebraic[29] = custom_piecewise([greater_equal(voi-floor(voi/constants[48])*constants[48] , 0.00000) & less_equal(voi-floor(voi/constants[48])*constants[48] , 0.00100000), 45.0000*(constants[80]+constants[90]) , True, 0.00000])
algebraic[42] = (((1.00000*constants[105]*4.00000*(states[15]+states[21])*states[23]*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.00100000*exp((2.00000*states[0]*constants[2])/(constants[0]*constants[1]))-0.341000*constants[4]))/(exp((2.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[44] = (((((1.00000*constants[106])/(1.00000-(algebraic[42]+algebraic[43])/(0.458000*(constants[80]+constants[90]))))*(states[15]+states[21])*states[23]*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(states[3]*exp((states[0]*constants[2])/(constants[0]*constants[1]))-constants[5]))/(exp((states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[46] = (log(constants[5]/states[3])*constants[0]*constants[1])/constants[2]
algebraic[47] = 1.00000/(1.00000+exp((states[0]+9.00000)/22.4000))
algebraic[48] = constants[93]*0.0261400*(power(constants[5]/5.40000, 1.0/2))*states[38]*algebraic[47]*(states[0]-algebraic[46])
algebraic[52] = (log((constants[5]+constants[63]*constants[3])/(states[3]+constants[63]*states[2]))*constants[0]*constants[1])/constants[2]
algebraic[53] = constants[94]*(0.230800+0.769200/(1.00000+exp((-log(1.00000*states[40], 10)-4.20000)/0.600000)))*(power(states[41], 2.00000))*(states[0]-algebraic[52])
algebraic[56] = algebraic[46]
algebraic[57] = 1020.00/(1.00000+exp(0.238500*((states[0]-algebraic[56])-59.2150)))
algebraic[58] = (1000.00*(0.491240*exp(0.0803200*((states[0]-algebraic[56])+5.47600))+exp(0.0617500*((states[0]-algebraic[56])-594.310))))/(1.00000+exp(-0.514300*((states[0]-algebraic[56])+4.75300)))
algebraic[59] = ((constants[97]*(power(constants[5]/5.40000, 1.0/2))*algebraic[57])/(algebraic[57]+algebraic[58]))*(states[0]-algebraic[56])
algebraic[65] = 1.00000/(1.00000+exp((20.0000-states[0])/5.00000))
algebraic[64] = algebraic[46]
algebraic[66] = constants[95]*algebraic[65]*(states[0]-algebraic[64])
algebraic[70] = algebraic[46]
algebraic[71] = (constants[96]/((1.00000+exp((states[0]+57.5300)/-5.86300))*(1.00000+exp((states[0]-45.8000)/25.8700))))*(states[43]*constants[65]+states[44]*(1.00000-constants[65]))*(states[0]-algebraic[70])
algebraic[74] = algebraic[46]
algebraic[75] = ((constants[98]*(0.800000-0.650000/(1.00000+exp((states[0]+125.000)/15.0000)))*0.850000)/(1.00000+power(66.0000/states[2], 2.80000)))*(states[0]-algebraic[74])
algebraic[80] = ((((1.00000*constants[108]*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.750000*states[3]*exp((states[0]*constants[2])/(constants[0]*constants[1]))-0.750000*constants[5]))/(exp((states[0]*constants[2])/(constants[0]*constants[1]))-1.00000))/(1.00000+power(0.00250000/states[40], 3.00000))
algebraic[84] = (log(constants[4]/states[40])*constants[0]*constants[1])/(2.00000*constants[2])
algebraic[85] = constants[101]*(states[0]-algebraic[84])
algebraic[93] = (constants[102]*states[40])/(0.000500000+states[40])
algebraic[95] = algebraic[46]
algebraic[98] = ((constants[99]*1.00000)/(1.00000+power(constants[6]/0.114000, 2.00000)))*(power(constants[5]/4.00000, 0.240000))*(states[0]-algebraic[95])
algebraic[97] = (1.00000*1000.00*constants[86]*0.00180000*(power(states[40], 2.00000)))/(power(states[40], 2.00000)+power(0.000500000, 2.00000))
algebraic[99] = 1250.00*constants[86]*5.80000e-05*(states[47]-states[40])
algebraic[101] = ((1.00000*constants[85])/constants[74])*(states[47]-states[48])
algebraic[103] = 1800.00*constants[85]*(states[50]+states[51])*(states[48]-states[22])
algebraic[45] = (((((1.00000*constants[124])/(1.00000-(algebraic[42]+algebraic[43])/(0.458000*(constants[80]+constants[90]))))*(states[29]+states[35])*states[37]*states[1]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(states[3]*exp((states[1]*constants[2])/(constants[0]*constants[1]))-states[7]))/(exp((states[1]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[49] = (log(states[7]/states[3])*constants[0]*constants[1])/constants[2]
algebraic[50] = 1.00000/(1.00000+exp((states[1]+9.00000)/22.4000))
algebraic[51] = constants[111]*0.0261400*(power(states[7]/5.40000, 1.0/2))*states[39]*algebraic[50]*(states[1]-algebraic[49])
algebraic[54] = (log((states[7]+constants[64]*states[6])/(states[3]+constants[64]*states[2]))*constants[0]*constants[1])/constants[2]
algebraic[55] = constants[112]*(0.230800+0.769200/(1.00000+exp((-log(1.00000*states[40], 10)-4.20000)/0.600000)))*(power(states[42], 2.00000))*(states[1]-algebraic[54])
algebraic[60] = algebraic[49]
algebraic[61] = 1020.00/(1.00000+exp(0.238500*((states[1]-algebraic[60])-59.2150)))
algebraic[62] = (1000.00*(0.491240*exp(0.0803200*((states[1]-algebraic[60])+5.47600))+exp(0.0617500*((states[1]-algebraic[60])-594.310))))/(1.00000+exp(-0.514300*((states[1]-algebraic[60])+4.75300)))
algebraic[63] = ((constants[115]*(power(states[7]/5.40000, 1.0/2))*algebraic[61])/(algebraic[61]+algebraic[62]))*(states[1]-algebraic[60])
algebraic[68] = 1.00000/(1.00000+exp((20.0000-states[1])/5.00000))
algebraic[67] = algebraic[49]
algebraic[69] = constants[113]*algebraic[68]*(states[1]-algebraic[67])
algebraic[72] = algebraic[49]
algebraic[73] = (constants[114]/((1.00000+exp((states[1]+57.5300)/-5.86300))*(1.00000+exp((states[1]-45.8000)/25.8700))))*(states[45]*constants[68]+states[46]*(1.00000-constants[68]))*(states[1]-algebraic[72])
algebraic[76] = algebraic[49]
algebraic[77] = ((constants[116]*(0.800000-0.650000/(1.00000+exp((states[1]+125.000)/15.0000)))*0.850000)/(1.00000+power(66.0000/states[2], 2.80000)))*(states[1]-algebraic[76])
algebraic[81] = ((((1.00000*constants[126]*states[1]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(0.750000*states[3]*exp((states[1]*constants[2])/(constants[0]*constants[1]))-0.750000*states[7]))/(exp((states[1]*constants[2])/(constants[0]*constants[1]))-1.00000))/(1.00000+power(0.00250000/states[40], 3.00000))
algebraic[100] = algebraic[49]
algebraic[102] = ((constants[117]*1.00000)/(1.00000+power(constants[6]/0.114000, 2.00000)))*(power(states[7]/4.00000, 0.240000))*(states[1]-algebraic[100])
algebraic[105] = (1.00000*(states[22]-states[40])*constants[86])/constants[79]
algebraic[104] = ((1.00000*constants[127])/constants[73])*(states[7]-constants[5])
algebraic[106] = 20000.0*states[40]*(1.00000-states[53])-0.0700000*states[53]
algebraic[107] = 40000.0*states[40]*(1.00000-states[54])-states[54]*40.0000
return algebraic
def custom_piecewise(cases):
"""Compute result of a piecewise function"""
return select(cases[0::2],cases[1::2])
def solve_model():
"""Solve model with ODE solver"""
from scipy.integrate import ode
# Initialise constants and state variables
(init_states, constants) = initConsts()
# Set timespan to solve over
voi = linspace(0, 10, 500)
# Construct ODE object to solve
r = ode(computeRates)
r.set_integrator('vode', method='bdf', atol=1e-06, rtol=1e-06, max_step=1)
r.set_initial_value(init_states, voi[0])
r.set_f_params(constants)
# Solve model
states = array([[0.0] * len(voi)] * sizeStates)
states[:,0] = init_states
for (i,t) in enumerate(voi[1:]):
if r.successful():
r.integrate(t)
states[:,i+1] = r.y
else:
break
# Compute algebraic variables
algebraic = computeAlgebraic(constants, states, voi)
return (voi, states, algebraic)
def plot_model(voi, states, algebraic):
"""Plot variables against variable of integration"""
import pylab
(legend_states, legend_algebraic, legend_voi, legend_constants) = createLegends()
pylab.figure(1)
pylab.plot(voi,vstack((states,algebraic)).T)
pylab.xlabel(legend_voi)
pylab.legend(legend_states + legend_algebraic, loc='best')
pylab.show()
if __name__ == "__main__":
(voi, states, algebraic) = solve_model()
plot_model(voi, states, algebraic)