# Size of variable arrays: sizeAlgebraic = 90 sizeStates = 33 sizeConstants = 104 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 Membrane (joule_per_kilomole_kelvin)" legend_constants[1] = "T in component Membrane (kelvin)" legend_constants[2] = "F in component Membrane (coulomb_per_mole)" legend_constants[3] = "C in component Membrane (microF)" legend_constants[85] = "RTONF in component Membrane (millivolt)" legend_algebraic[51] = "i_f in component i_f (nanoA)" legend_algebraic[52] = "i_NaK in component i_NaK (nanoA)" legend_algebraic[66] = "i_NaCa in component i_NaCa (nanoA)" legend_algebraic[68] = "i_Na in component i_Na (nanoA)" legend_algebraic[76] = "i_Kr in component i_Kr (nanoA)" legend_algebraic[80] = "i_Ks in component i_Ks (nanoA)" legend_algebraic[74] = "i_to in component i_to (nanoA)" legend_algebraic[72] = "i_CaL in component i_CaL (nanoA)" legend_algebraic[73] = "i_CaT in component i_CaT (nanoA)" legend_algebraic[83] = "i_KACh in component i_KACh (nanoA)" legend_algebraic[7] = "V in component Membrane (millivolt)" legend_constants[4] = "clamp_mode in component Membrane (dimensionless)" legend_algebraic[3] = "V_clamp in component Voltage_clamp (millivolt)" legend_states[0] = "V_ode in component Membrane (millivolt)" legend_algebraic[86] = "i_tot in component Membrane (nanoA)" legend_constants[5] = "t_holding in component Voltage_clamp (second)" legend_constants[6] = "t_test in component Voltage_clamp (second)" legend_constants[7] = "V_test in component Voltage_clamp (millivolt)" legend_constants[8] = "V_holding in component Voltage_clamp (millivolt)" legend_constants[9] = "Iva_3_uM in component Rate_modulation_experiments (dimensionless)" legend_constants[10] = "Cs_5_mM in component Rate_modulation_experiments (dimensionless)" legend_constants[11] = "ACh in component Rate_modulation_experiments (millimolar)" legend_constants[12] = "Iso_1_uM in component Rate_modulation_experiments (dimensionless)" legend_constants[13] = "BAPTA_10_mM in component Rate_modulation_experiments (dimensionless)" legend_algebraic[16] = "Nai in component Nai_concentration (millimolar)" legend_constants[14] = "Nao in component Ionic_values (millimolar)" legend_constants[15] = "Ki in component Ionic_values (millimolar)" legend_constants[16] = "Ko in component Ionic_values (millimolar)" legend_states[1] = "Ca_sub in component Ca_dynamics (millimolar)" legend_constants[17] = "Cao in component Ionic_values (millimolar)" legend_algebraic[32] = "E_Na in component Ionic_values (millivolt)" legend_constants[87] = "E_K in component Ionic_values (millivolt)" legend_algebraic[0] = "E_Ca in component Ionic_values (millivolt)" legend_constants[98] = "V_sub in component Cell_parameters (millimetre3)" legend_constants[100] = "V_i in component Cell_parameters (millimetre3)" legend_algebraic[46] = "i_fNa in component i_f (nanoA)" legend_algebraic[71] = "i_siNa in component i_CaL (nanoA)" legend_states[2] = "Nai_ in component Nai_concentration (millimolar)" legend_algebraic[42] = "ICs_on_Icontrol in component i_f (dimensionless)" legend_algebraic[49] = "i_fK in component i_f (nanoA)" legend_constants[82] = "g_f_Na in component i_f (microS)" legend_constants[83] = "g_f_K in component i_f (microS)" legend_constants[18] = "Km_f in component i_f (millimolar)" legend_states[3] = "y in component i_f_y_gate (dimensionless)" legend_algebraic[8] = "tau_y in component i_f_y_gate (second)" legend_algebraic[25] = "y_infinity in component i_f_y_gate (dimensionless)" legend_constants[89] = "ACh_shift in component i_f_y_gate (millivolt)" legend_constants[90] = "Iso_shift in component i_f_y_gate (millivolt)" legend_constants[19] = "Km_Kp in component i_NaK (millimolar)" legend_constants[20] = "Km_Nap in component i_NaK (millimolar)" legend_constants[21] = "i_NaK_max in component i_NaK (nanoA)" legend_constants[91] = "Iso_increase in component i_NaK (dimensionless)" legend_constants[22] = "K_NaCa in component i_NaCa (nanoA)" legend_algebraic[63] = "x1 in component i_NaCa (dimensionless)" legend_algebraic[59] = "x2 in component i_NaCa (dimensionless)" legend_algebraic[64] = "x3 in component i_NaCa (dimensionless)" legend_algebraic[65] = "x4 in component i_NaCa (dimensionless)" legend_algebraic[54] = "k41 in component i_NaCa (dimensionless)" legend_constants[92] = "k34 in component i_NaCa (dimensionless)" legend_algebraic[62] = "k23 in component i_NaCa (dimensionless)" legend_algebraic[61] = "k21 in component i_NaCa (dimensionless)" legend_algebraic[58] = "k32 in component i_NaCa (dimensionless)" legend_algebraic[53] = "k43 in component i_NaCa (dimensionless)" legend_algebraic[56] = "k12 in component i_NaCa (dimensionless)" legend_algebraic[57] = "k14 in component i_NaCa (dimensionless)" legend_constants[23] = "Qci in component i_NaCa (dimensionless)" legend_constants[24] = "Qn in component i_NaCa (dimensionless)" legend_constants[25] = "Qco in component i_NaCa (dimensionless)" legend_constants[26] = "K3ni in component i_NaCa (millimolar)" legend_constants[27] = "Kci in component i_NaCa (millimolar)" legend_constants[28] = "K1ni in component i_NaCa (millimolar)" legend_constants[29] = "K2ni in component i_NaCa (millimolar)" legend_constants[30] = "Kcni in component i_NaCa (millimolar)" legend_constants[31] = "K3no in component i_NaCa (millimolar)" legend_constants[32] = "K1no in component i_NaCa (millimolar)" legend_constants[33] = "K2no in component i_NaCa (millimolar)" legend_constants[34] = "Kco in component i_NaCa (millimolar)" legend_algebraic[60] = "do in component i_NaCa (dimensionless)" legend_algebraic[55] = "di in component i_NaCa (dimensionless)" legend_constants[35] = "g_Na in component i_Na (microS)" legend_algebraic[67] = "E_mh in component i_Na (millivolt)" legend_states[4] = "m in component i_Na_m_gate (dimensionless)" legend_states[5] = "h in component i_Na_h_gate (dimensionless)" legend_algebraic[26] = "alpha_m in component i_Na_m_gate (per_second)" legend_algebraic[40] = "beta_m in component i_Na_m_gate (per_second)" legend_constants[36] = "delta_m in component i_Na_m_gate (millivolt)" legend_algebraic[9] = "E0_m in component i_Na_m_gate (millivolt)" legend_algebraic[10] = "alpha_h in component i_Na_h_gate (per_second)" legend_algebraic[27] = "beta_h in component i_Na_h_gate (per_second)" legend_algebraic[69] = "i_siCa in component i_CaL (nanoA)" legend_algebraic[70] = "i_siK in component i_CaL (nanoA)" legend_constants[94] = "ACh_block in component i_CaL (dimensionless)" legend_constants[37] = "P_CaL in component i_CaL (nanoA_per_millimolar)" legend_states[6] = "dL in component i_CaL_dL_gate (dimensionless)" legend_states[7] = "fL in component i_CaL_fL_gate (dimensionless)" legend_states[8] = "fCa in component i_CaL_fCa_gate (dimensionless)" legend_constants[93] = "Iso_increase in component i_CaL (dimensionless)" legend_algebraic[11] = "dL_infinity in component i_CaL_dL_gate (dimensionless)" legend_algebraic[50] = "tau_dL in component i_CaL_dL_gate (second)" legend_algebraic[41] = "alpha_dL in component i_CaL_dL_gate (per_second)" legend_algebraic[48] = "beta_dL in component i_CaL_dL_gate (per_second)" legend_algebraic[28] = "adVm in component i_CaL_dL_gate (millivolt)" legend_algebraic[45] = "bdVm in component i_CaL_dL_gate (millivolt)" legend_constants[95] = "Iso_shift in component i_CaL_dL_gate (millivolt)" legend_constants[96] = "Iso_slope in component i_CaL_dL_gate (dimensionless)" legend_algebraic[12] = "fL_infinity in component i_CaL_fL_gate (dimensionless)" legend_algebraic[29] = "tau_fL in component i_CaL_fL_gate (second)" legend_constants[38] = "alpha_fCa in component i_CaL_fCa_gate (per_second)" legend_algebraic[1] = "fCa_infinity in component i_CaL_fCa_gate (dimensionless)" legend_algebraic[5] = "tau_fCa in component i_CaL_fCa_gate (second)" legend_constants[39] = "Km_fCa in component i_CaL_fCa_gate (millimolar)" legend_constants[40] = "P_CaT in component i_CaT (nanoA_per_millimolar)" legend_states[9] = "dT in component i_CaT_dT_gate (dimensionless)" legend_states[10] = "fT in component i_CaT_fT_gate (dimensionless)" legend_algebraic[13] = "dT_infinity in component i_CaT_dT_gate (dimensionless)" legend_algebraic[30] = "tau_dT in component i_CaT_dT_gate (second)" legend_algebraic[14] = "fT_infinity in component i_CaT_fT_gate (dimensionless)" legend_algebraic[31] = "tau_fT in component i_CaT_fT_gate (second)" legend_algebraic[75] = "j_SRCarel in component Ca_SR_release (millimolar_per_second)" legend_states[11] = "R in component Ca_SR_release (dimensionless)" legend_states[12] = "O in component Ca_SR_release (dimensionless)" legend_states[13] = "I in component Ca_SR_release (dimensionless)" legend_states[14] = "RI in component Ca_SR_release (dimensionless)" legend_constants[41] = "ks in component Ca_SR_release (per_second)" legend_constants[42] = "MaxSR in component Ca_SR_release (dimensionless)" legend_constants[43] = "MinSR in component Ca_SR_release (dimensionless)" legend_constants[44] = "EC50_SR in component Ca_SR_release (millimolar)" legend_constants[45] = "HSR in component Ca_SR_release (dimensionless)" legend_algebraic[6] = "koSRCa in component Ca_SR_release (per_millimolar2_second)" legend_algebraic[15] = "kiSRCa in component Ca_SR_release (per_millimolar_second)" legend_constants[46] = "koCa in component Ca_SR_release (per_millimolar2_second)" legend_constants[47] = "kiCa in component Ca_SR_release (per_millimolar_second)" legend_algebraic[2] = "kCaSR in component Ca_SR_release (dimensionless)" legend_constants[48] = "kim in component Ca_SR_release (per_second)" legend_constants[49] = "kom in component Ca_SR_release (per_second)" legend_states[15] = "Ca_jsr in component Ca_dynamics (millimolar)" legend_algebraic[77] = "j_Ca_dif in component Ca_intracellular_fluxes (millimolar_per_second)" legend_algebraic[79] = "j_up in component Ca_intracellular_fluxes (millimolar_per_second)" legend_algebraic[82] = "j_tr in component Ca_intracellular_fluxes (millimolar_per_second)" legend_constants[50] = "tau_dif_Ca in component Ca_intracellular_fluxes (second)" legend_constants[51] = "tau_tr in component Ca_intracellular_fluxes (second)" legend_constants[88] = "P_up in component Ca_intracellular_fluxes (millimolar_per_second)" legend_constants[52] = "P_up_basal in component Ca_intracellular_fluxes (millimolar_per_second)" legend_constants[84] = "b_up in component Ca_intracellular_fluxes (dimensionless)" legend_constants[53] = "K_up in component Ca_intracellular_fluxes (millimolar)" legend_states[16] = "Ca_nsr in component Ca_dynamics (millimolar)" legend_states[17] = "Cai in component Ca_dynamics (millimolar)" legend_constants[54] = "TC_tot in component Ca_buffering (millimolar)" legend_constants[55] = "TMC_tot in component Ca_buffering (millimolar)" legend_constants[56] = "CM_tot in component Ca_buffering (millimolar)" legend_constants[57] = "CQ_tot in component Ca_buffering (millimolar)" legend_algebraic[81] = "delta_fTC in component Ca_buffering (per_second)" legend_algebraic[84] = "delta_fTMC in component Ca_buffering (per_second)" legend_algebraic[88] = "delta_fCMs in component Ca_buffering (per_second)" legend_algebraic[87] = "delta_fCMi in component Ca_buffering (per_second)" legend_algebraic[85] = "delta_fCQ in component Ca_buffering (per_second)" legend_algebraic[4] = "delta_fTMM in component Ca_buffering (per_second)" legend_states[18] = "fTMM in component Ca_buffering (dimensionless)" legend_states[19] = "fCMi in component Ca_buffering (dimensionless)" legend_states[20] = "fCMs in component Ca_buffering (dimensionless)" legend_states[21] = "fTC in component Ca_buffering (dimensionless)" legend_states[22] = "fTMC in component Ca_buffering (dimensionless)" legend_states[23] = "fCQ in component Ca_buffering (dimensionless)" legend_constants[58] = "kf_TC in component Ca_buffering (per_millimolar_second)" legend_constants[59] = "kf_TMM in component Ca_buffering (per_millimolar_second)" legend_constants[60] = "kf_TMC in component Ca_buffering (per_millimolar_second)" legend_constants[61] = "kf_CM in component Ca_buffering (per_millimolar_second)" legend_constants[62] = "kf_CQ in component Ca_buffering (per_millimolar_second)" legend_constants[63] = "kb_TC in component Ca_buffering (per_second)" legend_constants[64] = "kb_TMC in component Ca_buffering (per_second)" legend_constants[65] = "kb_TMM in component Ca_buffering (per_second)" legend_constants[66] = "kb_CM in component Ca_buffering (per_second)" legend_constants[67] = "kb_CQ in component Ca_buffering (per_second)" legend_constants[68] = "Mgi in component Ca_buffering (millimolar)" legend_constants[99] = "V_jsr in component Cell_parameters (millimetre3)" legend_constants[101] = "V_nsr in component Cell_parameters (millimetre3)" legend_algebraic[89] = "BAPTA in component Ca_dynamics (millimolar)" legend_constants[69] = "kfBAPTA in component Ca_dynamics (per_millimolar_second)" legend_constants[70] = "kbBAPTA in component Ca_dynamics (per_second)" legend_states[24] = "fBAPTA in component Ca_dynamics (millimolar)" legend_states[25] = "fBAPTA_sub in component Ca_dynamics (millimolar)" legend_constants[71] = "T in component Ca_dynamics (second)" legend_constants[97] = "V_cell in component Cell_parameters (millimetre3)" legend_constants[72] = "V_jsr_part in component Cell_parameters (dimensionless)" legend_constants[73] = "V_i_part in component Cell_parameters (dimensionless)" legend_constants[74] = "V_nsr_part in component Cell_parameters (dimensionless)" legend_constants[75] = "R_cell in component Cell_parameters (micrometre)" legend_constants[76] = "L_cell in component Cell_parameters (micrometre)" legend_constants[77] = "L_sub in component Cell_parameters (micrometre)" legend_constants[78] = "g_to in component i_to (microS)" legend_states[26] = "q in component i_to_q_gate (dimensionless)" legend_states[27] = "r in component i_to_r_gate (dimensionless)" legend_algebraic[17] = "q_infinity in component i_to_q_gate (dimensionless)" legend_algebraic[33] = "tau_q in component i_to_q_gate (second)" legend_algebraic[18] = "r_infinity in component i_to_r_gate (dimensionless)" legend_algebraic[34] = "tau_r in component i_to_r_gate (second)" legend_constants[79] = "g_Kr in component i_Kr (microS)" legend_states[28] = "paS in component i_Kr_pa_gate (dimensionless)" legend_states[29] = "paF in component i_Kr_pa_gate (dimensionless)" legend_states[30] = "piy in component i_Kr_pi_gate (dimensionless)" legend_algebraic[19] = "pa_infinity in component i_Kr_pa_gate (dimensionless)" legend_algebraic[20] = "alfapaF in component i_Kr_pa_gate (per_second)" legend_algebraic[21] = "betapaF in component i_Kr_pa_gate (per_second)" legend_algebraic[35] = "tau_paS in component i_Kr_pa_gate (second)" legend_algebraic[36] = "tau_paF in component i_Kr_pa_gate (second)" legend_algebraic[37] = "pi_infinity in component i_Kr_pi_gate (dimensionless)" legend_algebraic[22] = "tau_pi in component i_Kr_pi_gate (second)" legend_constants[86] = "g_Ks in component i_Ks (microS)" legend_algebraic[78] = "E_Ks in component i_Ks (millivolt)" legend_states[31] = "n in component i_Ks_n_gate (dimensionless)" legend_algebraic[23] = "n_infinity in component i_Ks_n_gate (dimensionless)" legend_algebraic[47] = "tau_n in component i_Ks_n_gate (second)" legend_constants[102] = "Iso_shift in component i_Ks_n_gate (millivolt)" legend_constants[80] = "shift in component i_Ks_n_gate (millivolt)" legend_algebraic[38] = "alpha_n in component i_Ks_n_gate (per_second)" legend_algebraic[43] = "beta_n in component i_Ks_n_gate (per_second)" legend_constants[81] = "g_KACh in component i_KACh (microS)" legend_states[32] = "a in component i_KACh_a_gate (dimensionless)" legend_constants[103] = "alpha_a in component i_KACh_a_gate (per_second)" legend_algebraic[24] = "beta_a in component i_KACh_a_gate (per_second)" legend_algebraic[39] = "a_infinity in component i_KACh_a_gate (dimensionless)" legend_algebraic[44] = "tau_a in component i_KACh_a_gate (second)" legend_rates[0] = "d/dt V_ode in component Membrane (millivolt)" legend_rates[2] = "d/dt Nai_ in component Nai_concentration (millimolar)" legend_rates[3] = "d/dt y in component i_f_y_gate (dimensionless)" legend_rates[4] = "d/dt m in component i_Na_m_gate (dimensionless)" legend_rates[5] = "d/dt h in component i_Na_h_gate (dimensionless)" legend_rates[6] = "d/dt dL in component i_CaL_dL_gate (dimensionless)" legend_rates[7] = "d/dt fL in component i_CaL_fL_gate (dimensionless)" legend_rates[8] = "d/dt fCa in component i_CaL_fCa_gate (dimensionless)" legend_rates[9] = "d/dt dT in component i_CaT_dT_gate (dimensionless)" legend_rates[10] = "d/dt fT in component i_CaT_fT_gate (dimensionless)" legend_rates[11] = "d/dt R in component Ca_SR_release (dimensionless)" legend_rates[12] = "d/dt O in component Ca_SR_release (dimensionless)" legend_rates[13] = "d/dt I in component Ca_SR_release (dimensionless)" legend_rates[14] = "d/dt RI in component Ca_SR_release (dimensionless)" legend_rates[21] = "d/dt fTC in component Ca_buffering (dimensionless)" legend_rates[22] = "d/dt fTMC in component Ca_buffering (dimensionless)" legend_rates[18] = "d/dt fTMM in component Ca_buffering (dimensionless)" legend_rates[19] = "d/dt fCMi in component Ca_buffering (dimensionless)" legend_rates[20] = "d/dt fCMs in component Ca_buffering (dimensionless)" legend_rates[23] = "d/dt fCQ in component Ca_buffering (dimensionless)" legend_rates[17] = "d/dt Cai in component Ca_dynamics (millimolar)" legend_rates[24] = "d/dt fBAPTA in component Ca_dynamics (millimolar)" legend_rates[1] = "d/dt Ca_sub in component Ca_dynamics (millimolar)" legend_rates[25] = "d/dt fBAPTA_sub in component Ca_dynamics (millimolar)" legend_rates[16] = "d/dt Ca_nsr in component Ca_dynamics (millimolar)" legend_rates[15] = "d/dt Ca_jsr in component Ca_dynamics (millimolar)" legend_rates[26] = "d/dt q in component i_to_q_gate (dimensionless)" legend_rates[27] = "d/dt r in component i_to_r_gate (dimensionless)" legend_rates[28] = "d/dt paS in component i_Kr_pa_gate (dimensionless)" legend_rates[29] = "d/dt paF in component i_Kr_pa_gate (dimensionless)" legend_rates[30] = "d/dt piy in component i_Kr_pi_gate (dimensionless)" legend_rates[31] = "d/dt n in component i_Ks_n_gate (dimensionless)" legend_rates[32] = "d/dt a in component i_KACh_a_gate (dimensionless)" return (legend_states, legend_algebraic, legend_voi, legend_constants) def initConsts(): constants = [0.0] * sizeConstants; states = [0.0] * sizeStates; constants[0] = 8314.472 constants[1] = 310 constants[2] = 96485.3415 constants[3] = 3.2e-5 constants[4] = 0 states[0] = -52 constants[5] = 0.5 constants[6] = 0.5 constants[7] = -35 constants[8] = -45 constants[9] = 0 constants[10] = 0 constants[11] = 0 constants[12] = 0 constants[13] = 0 constants[14] = 140 constants[15] = 140 constants[16] = 5.4 states[1] = 1e-5 constants[17] = 1.8 states[2] = 7.5 constants[18] = 45 states[3] = 0.181334538702451 constants[19] = 1.4 constants[20] = 14 constants[21] = 0.063 constants[22] = 4 constants[23] = 0.1369 constants[24] = 0.4315 constants[25] = 0 constants[26] = 26.44 constants[27] = 0.0207 constants[28] = 395.3 constants[29] = 2.289 constants[30] = 26.44 constants[31] = 4.663 constants[32] = 1628 constants[33] = 561.4 constants[34] = 3.663 constants[35] = 0.0125 states[4] = 0.440131579215766 states[5] = 1.3676940140066e-5 constants[36] = 1e-5 constants[37] = 0.2 states[6] = 0 states[7] = 0.497133507285601 states[8] = 0.697998543259722 constants[38] = 0.01 constants[39] = 0.00035 constants[40] = 0.02 states[9] = 0 states[10] = 0 states[11] = 0.912317231017262 states[12] = 1.7340201253e-7 states[13] = 7.86181717518e-8 states[14] = 0.211148145512825 constants[41] = 250000000 constants[42] = 15 constants[43] = 1 constants[44] = 0.45 constants[45] = 2.5 constants[46] = 10000 constants[47] = 500 constants[48] = 5 constants[49] = 60 states[15] = 0.316762674605 constants[50] = 4e-5 constants[51] = 0.04 constants[52] = 12 constants[53] = 0.0006 states[16] = 1.05386465080816 states[17] = 1e-5 constants[54] = 0.031 constants[55] = 0.062 constants[56] = 0.045 constants[57] = 10 states[18] = 0.501049376634 states[19] = 0.0373817991524254 states[20] = 0.054381370046 states[21] = 0.0180519400676086 states[22] = 0.281244308217086 states[23] = 0.299624275428735 constants[58] = 88800 constants[59] = 2277 constants[60] = 227700 constants[61] = 227700 constants[62] = 534 constants[63] = 446 constants[64] = 7.51 constants[65] = 751 constants[66] = 542 constants[67] = 445 constants[68] = 2.5 constants[69] = 940000 constants[70] = 119.38 states[24] = 0 states[25] = 0 constants[71] = 6.928 constants[72] = 0.0012 constants[73] = 0.46 constants[74] = 0.0116 constants[75] = 4 constants[76] = 70 constants[77] = 0.02 constants[78] = 0.002 states[26] = 0.506139850982478 states[27] = 0.0144605370597924 constants[79] = 0.0021637 states[28] = 0.322999177802891 states[29] = 0.0990510403258968 states[30] = 0.705410877258545 states[31] = 0 constants[80] = 0 constants[81] = 0.00864 states[32] = 0 constants[82] = custom_piecewise([greater_equal(constants[9] , 1.00000), 0.0300000*(1.00000-0.660000) , True, 0.0300000]) constants[83] = custom_piecewise([greater_equal(constants[9] , 1.00000), 0.0300000*(1.00000-0.660000) , True, 0.0300000]) constants[84] = custom_piecewise([greater(constants[12] , 0.00000), -0.250000 , greater(constants[11] , 0.00000), (0.700000*constants[11])/(9.00000e-05+constants[11]) , True, 0.00000]) constants[85] = (constants[0]*constants[1])/constants[2] constants[86] = custom_piecewise([greater(constants[12] , 0.00000), 1.20000*0.00165760 , True, 0.00165760]) constants[87] = constants[85]*log(constants[16]/constants[15]) constants[88] = constants[52]*(1.00000-constants[84]) constants[89] = custom_piecewise([greater(constants[11] , 0.00000), -1.00000-(9.89800*(power(1.00000*constants[11], 0.618000)))/(power(1.00000*constants[11], 0.618000)+0.00122423) , True, 0.00000]) constants[90] = custom_piecewise([greater(constants[12] , 0.00000), 7.50000 , True, 0.00000]) constants[91] = custom_piecewise([greater(constants[12] , 0.00000), 1.20000 , True, 1.00000]) constants[92] = constants[14]/(constants[31]+constants[14]) constants[93] = custom_piecewise([greater(constants[12] , 0.00000), 1.23000 , True, 1.00000]) constants[94] = (0.310000*constants[11])/(constants[11]+9.00000e-05) constants[95] = custom_piecewise([greater(constants[12] , 0.00000), -8.00000 , True, 0.00000]) constants[96] = custom_piecewise([greater(constants[12] , 0.00000), 0.690000 , True, 1.00000]) constants[97] = 1.00000e-09* pi*(power(constants[75], 2.00000))*constants[76] constants[98] = 1.00000e-09*2.00000* pi*constants[77]*(constants[75]-constants[77]/2.00000)*constants[76] constants[99] = constants[72]*constants[97] constants[100] = constants[73]*constants[97]-constants[98] constants[101] = constants[74]*constants[97] constants[102] = custom_piecewise([greater(constants[12] , 0.00000), -14.0000 , True, 0.00000]) constants[103] = (3.59880-0.0256410)/(1.00000+1.21550e-06/(power(1.00000*constants[11], 1.69510)))+0.0256410 return (states, constants) def computeRates(voi, states, constants): rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic algebraic[4] = constants[59]*constants[68]*(1.00000-(states[22]+states[18]))-constants[65]*states[18] rates[18] = algebraic[4] algebraic[1] = constants[39]/(constants[39]+states[1]) algebraic[5] = (0.00100000*algebraic[1])/constants[38] rates[8] = (algebraic[1]-states[8])/algebraic[5] algebraic[2] = constants[42]-(constants[42]-constants[43])/(1.00000+power(constants[44]/states[15], constants[45])) algebraic[6] = constants[46]/algebraic[2] algebraic[15] = constants[47]*algebraic[2] rates[11] = (constants[48]*states[14]-algebraic[15]*states[1]*states[11])-(algebraic[6]*(power(states[1], 2.00000))*states[11]-constants[49]*states[12]) rates[12] = (algebraic[6]*(power(states[1], 2.00000))*states[11]-constants[49]*states[12])-(algebraic[15]*states[1]*states[12]-constants[48]*states[13]) rates[13] = (algebraic[15]*states[1]*states[12]-constants[48]*states[13])-(constants[49]*states[13]-algebraic[6]*(power(states[1], 2.00000))*states[14]) rates[14] = (constants[49]*states[13]-algebraic[6]*(power(states[1], 2.00000))*states[14])-(constants[48]*states[14]-algebraic[15]*states[1]*states[11]) algebraic[3] = custom_piecewise([greater(voi , constants[5]) & less(voi , constants[5]+constants[6]), constants[7] , True, constants[8]]) algebraic[7] = custom_piecewise([greater_equal(constants[4] , 1.00000), algebraic[3] , True, states[0]]) algebraic[8] = 0.716653/(0.0708000*exp(-(((algebraic[7]+5.00000)-constants[89])-constants[90])/20.2791)+10.6000*exp(((algebraic[7]-constants[89])-constants[90])/18.0000)) algebraic[25] = 1.00000/(1.00000+exp((((algebraic[7]+52.5000)-constants[89])-constants[90])/9.00000)) rates[3] = (algebraic[25]-states[3])/algebraic[8] algebraic[10] = 20.0000*exp(-0.125000*(algebraic[7]+75.0000)) algebraic[27] = 2000.00/(320.000*exp(-0.100000*(algebraic[7]+75.0000))+1.00000) rates[5] = algebraic[10]*(1.00000-states[5])-algebraic[27]*states[5] algebraic[12] = 1.00000/(1.00000+exp((algebraic[7]+37.4000)/5.30000)) algebraic[29] = 0.00100000*(44.3000+230.000*exp(-(power((algebraic[7]+36.0000)/10.0000, 2.00000)))) rates[7] = (algebraic[12]-states[7])/algebraic[29] algebraic[13] = 1.00000/(1.00000+exp(-(algebraic[7]+38.3000)/5.50000)) algebraic[30] = 0.00100000/(1.06800*exp((algebraic[7]+38.3000)/30.0000)+1.06800*exp(-(algebraic[7]+38.3000)/30.0000)) rates[9] = (algebraic[13]-states[9])/algebraic[30] algebraic[14] = 1.00000/(1.00000+exp((algebraic[7]+58.7000)/3.80000)) algebraic[31] = 1.00000/(16.6700*exp(-(algebraic[7]+75.0000)/83.3000)+16.6700*exp((algebraic[7]+75.0000)/15.3800)) rates[10] = (algebraic[14]-states[10])/algebraic[31] algebraic[17] = 1.00000/(1.00000+exp((algebraic[7]+49.0000)/13.0000)) algebraic[33] = 0.00100000*0.600000*(65.1700/(0.570000*exp(-0.0800000*(algebraic[7]+44.0000))+0.0650000*exp(0.100000*(algebraic[7]+45.9300)))+10.1000) rates[26] = (algebraic[17]-states[26])/algebraic[33] algebraic[18] = 1.00000/(1.00000+exp(-(algebraic[7]-19.3000)/15.0000)) algebraic[34] = 0.00100000*0.660000*1.40000*(15.5900/(1.03700*exp(0.0900000*(algebraic[7]+30.6100))+0.369000*exp(-0.120000*(algebraic[7]+23.8400)))+2.98000) rates[27] = (algebraic[18]-states[27])/algebraic[34] algebraic[19] = 1.00000/(1.00000+exp(-(algebraic[7]+14.8000)/8.50000)) algebraic[35] = 0.846554/(4.20000*exp(algebraic[7]/17.0000)+0.150000*exp(-algebraic[7]/21.6000)) rates[28] = (algebraic[19]-states[28])/algebraic[35] algebraic[36] = 1.00000/(30.0000*exp(algebraic[7]/10.0000)+exp(-algebraic[7]/12.0000)) rates[29] = (algebraic[19]-states[29])/algebraic[36] algebraic[37] = 1.00000/(1.00000+exp((algebraic[7]+28.6000)/17.1000)) algebraic[22] = 1.00000/(100.000*exp(-algebraic[7]/54.6450)+656.000*exp(algebraic[7]/106.157)) rates[30] = (algebraic[37]-states[30])/algebraic[22] algebraic[9] = algebraic[7]+41.0000 algebraic[26] = custom_piecewise([less(fabs(algebraic[9]) , constants[36]), 2000.00 , True, (200.000*algebraic[9])/(1.00000-exp(-0.100000*algebraic[9]))]) algebraic[40] = 8000.00*exp(-0.0560000*(algebraic[7]+66.0000)) rates[4] = algebraic[26]*(1.00000-states[4])-algebraic[40]*states[4] algebraic[24] = 10.0000*exp(0.0133000*(algebraic[7]+40.0000)) algebraic[39] = constants[103]/(constants[103]+algebraic[24]) algebraic[44] = 1.00000/(constants[103]+algebraic[24]) rates[32] = (algebraic[39]-states[32])/algebraic[44] algebraic[23] = (14.0000/(1.00000+exp(-((algebraic[7]-40.0000)-constants[102])/12.0000)))/(14.0000/(1.00000+exp(-((algebraic[7]-40.0000)-constants[102])/12.0000))+1.00000*exp(-(algebraic[7]-constants[102])/45.0000)) algebraic[38] = 28.0000/(1.00000+exp(-((algebraic[7]-40.0000)-constants[102])/3.00000)) algebraic[43] = 1.00000*exp(-(((algebraic[7]-constants[102])-constants[80])-5.00000)/25.0000) algebraic[47] = 1.00000/(algebraic[38]+algebraic[43]) rates[31] = (algebraic[23]-states[31])/algebraic[47] algebraic[11] = 1.00000/(1.00000+exp(-((algebraic[7]+20.3000)-constants[95])/(constants[96]*4.20000))) algebraic[28] = custom_piecewise([equal(algebraic[7] , -41.8000), -41.8000 , equal(algebraic[7] , 0.00000), 0.00000 , equal(algebraic[7] , -6.80000), -6.80001 , True, algebraic[7]]) algebraic[41] = (-0.0283900*((algebraic[28]+41.8000)-constants[95]))/(exp(-((algebraic[28]+41.8000)-constants[95])/2.50000)-1.00000)-(0.0849000*((algebraic[28]+6.80000)-constants[95]))/(exp(-((algebraic[28]+6.80000)-constants[95])/4.80000)-1.00000) algebraic[45] = custom_piecewise([equal(algebraic[7] , -1.80000), -1.80001 , True, algebraic[7]]) algebraic[48] = (0.0114300*((algebraic[45]+1.80000)-constants[95]))/(exp(((algebraic[45]+1.80000)-constants[95])/2.50000)-1.00000) algebraic[50] = 0.00100000/(algebraic[41]+algebraic[48]) rates[6] = (algebraic[11]-states[6])/algebraic[50] algebraic[16] = custom_piecewise([greater(constants[13] , 0.00000), 7.50000 , True, states[2]]) algebraic[32] = constants[85]*log(constants[14]/algebraic[16]) algebraic[52] = constants[91]*constants[21]*(power(1.00000+power(constants[19]/constants[16], 1.20000), -1.00000))*(power(1.00000+power(constants[20]/algebraic[16], 1.30000), -1.00000))*(power(1.00000+exp(-((algebraic[7]-algebraic[32])+110.000)/20.0000), -1.00000)) algebraic[54] = exp((-constants[24]*algebraic[7])/(2.00000*constants[85])) algebraic[60] = 1.00000+(constants[17]/constants[34])*(1.00000+exp((constants[25]*algebraic[7])/constants[85]))+(constants[14]/constants[32])*(1.00000+(constants[14]/constants[33])*(1.00000+constants[14]/constants[31])) algebraic[62] = ((((constants[14]/constants[32])*constants[14])/constants[33])*(1.00000+constants[14]/constants[31])*exp((-constants[24]*algebraic[7])/(2.00000*constants[85])))/algebraic[60] algebraic[61] = ((constants[17]/constants[34])*exp((constants[25]*algebraic[7])/constants[85]))/algebraic[60] algebraic[58] = exp((constants[24]*algebraic[7])/(2.00000*constants[85])) algebraic[53] = algebraic[16]/(constants[26]+algebraic[16]) algebraic[63] = algebraic[54]*constants[92]*(algebraic[62]+algebraic[61])+algebraic[61]*algebraic[58]*(algebraic[53]+algebraic[54]) algebraic[55] = 1.00000+(states[1]/constants[27])*(1.00000+exp((-constants[23]*algebraic[7])/constants[85])+algebraic[16]/constants[30])+(algebraic[16]/constants[28])*(1.00000+(algebraic[16]/constants[29])*(1.00000+algebraic[16]/constants[26])) algebraic[56] = ((states[1]/constants[27])*exp((-constants[23]*algebraic[7])/constants[85]))/algebraic[55] algebraic[57] = ((((algebraic[16]/constants[28])*algebraic[16])/constants[29])*(1.00000+algebraic[16]/constants[26])*exp((constants[24]*algebraic[7])/(2.00000*constants[85])))/algebraic[55] algebraic[59] = algebraic[58]*algebraic[53]*(algebraic[57]+algebraic[56])+algebraic[54]*algebraic[56]*(constants[92]+algebraic[58]) algebraic[64] = algebraic[57]*algebraic[53]*(algebraic[62]+algebraic[61])+algebraic[56]*algebraic[62]*(algebraic[53]+algebraic[54]) algebraic[65] = algebraic[62]*constants[92]*(algebraic[57]+algebraic[56])+algebraic[57]*algebraic[61]*(constants[92]+algebraic[58]) algebraic[66] = (constants[22]*(algebraic[59]*algebraic[61]-algebraic[63]*algebraic[56]))/(algebraic[63]+algebraic[59]+algebraic[64]+algebraic[65]) algebraic[67] = constants[85]*log((constants[14]+0.120000*constants[16])/(algebraic[16]+0.120000*constants[15])) algebraic[68] = constants[35]*(power(states[4], 3.00000))*states[5]*(algebraic[7]-algebraic[67]) algebraic[42] = custom_piecewise([greater_equal(constants[10] , 1.00000), (10.6015/5.00000)/(10.6015/5.00000+exp((-0.710000*algebraic[7])/25.0000)) , True, 1.00000]) algebraic[46] = (((power(states[3], 2.00000))*constants[16])/(constants[16]+constants[18]))*constants[82]*(algebraic[7]-algebraic[32])*algebraic[42] algebraic[71] = ((1.85000e-05*constants[37]*(algebraic[7]-0.00000))/(constants[85]*(1.00000-exp((-1.00000*(algebraic[7]-0.00000))/constants[85]))))*(algebraic[16]-constants[14]*exp((-1.00000*(algebraic[7]-0.00000))/constants[85]))*states[6]*states[7]*states[8] rates[2] = (-1.00000*(algebraic[68]+algebraic[46]+algebraic[71]+3.00000*algebraic[52]+3.00000*algebraic[66]))/(1.00000*(constants[100]+constants[98])*constants[2]) algebraic[81] = constants[58]*states[17]*(1.00000-states[21])-constants[63]*states[21] rates[21] = algebraic[81] algebraic[79] = constants[88]/(1.00000+constants[53]/states[17]) algebraic[82] = (states[16]-states[15])/constants[51] rates[16] = algebraic[79]-(algebraic[82]*constants[99])/constants[101] algebraic[84] = constants[60]*states[17]*(1.00000-(states[22]+states[18]))-constants[64]*states[22] rates[22] = algebraic[84] algebraic[85] = constants[62]*states[15]*(1.00000-states[23])-constants[67]*states[23] rates[23] = algebraic[85] algebraic[75] = constants[41]*states[12]*(states[15]-states[1]) rates[15] = algebraic[82]-(algebraic[75]+constants[57]*algebraic[85]) algebraic[49] = (((power(states[3], 2.00000))*constants[16])/(constants[16]+constants[18]))*constants[83]*(algebraic[7]-constants[87])*algebraic[42] algebraic[51] = algebraic[46]+algebraic[49] algebraic[76] = constants[79]*(algebraic[7]-constants[87])*(0.900000*states[29]+0.100000*states[28])*states[30] algebraic[78] = constants[85]*log((constants[16]+0.00000*constants[14])/(constants[15]+0.00000*algebraic[16])) algebraic[80] = constants[86]*(algebraic[7]-algebraic[78])*(power(states[31], 2.00000)) algebraic[74] = constants[78]*(algebraic[7]-constants[87])*states[26]*states[27] algebraic[69] = ((2.00000*constants[37]*(algebraic[7]-0.00000))/(constants[85]*(1.00000-exp((-1.00000*(algebraic[7]-0.00000)*2.00000)/constants[85]))))*(states[1]-constants[17]*exp((-2.00000*(algebraic[7]-0.00000))/constants[85]))*states[6]*states[7]*states[8] algebraic[70] = ((0.000365000*constants[37]*(algebraic[7]-0.00000))/(constants[85]*(1.00000-exp((-1.00000*(algebraic[7]-0.00000))/constants[85]))))*(constants[15]-constants[16]*exp((-1.00000*(algebraic[7]-0.00000))/constants[85]))*states[6]*states[7]*states[8] algebraic[72] = (algebraic[69]+algebraic[70]+algebraic[71])*(1.00000-constants[94])*1.00000*constants[93] algebraic[73] = ((2.00000*constants[40]*algebraic[7])/(constants[85]*(1.00000-exp((-1.00000*algebraic[7]*2.00000)/constants[85]))))*(states[1]-constants[17]*exp((-2.00000*algebraic[7])/constants[85]))*states[9]*states[10] algebraic[83] = custom_piecewise([greater(constants[11] , 0.00000), constants[81]*(algebraic[7]-constants[87])*(1.00000+exp((algebraic[7]+20.0000)/20.0000))*states[32] , True, 0.00000]) algebraic[86] = algebraic[51]+algebraic[76]+algebraic[80]+algebraic[74]+algebraic[52]+algebraic[66]+algebraic[68]+algebraic[72]+algebraic[73]+algebraic[83] rates[0] = -algebraic[86]/constants[3] algebraic[87] = constants[61]*states[17]*(1.00000-states[19])-constants[66]*states[19] rates[19] = algebraic[87] algebraic[88] = constants[61]*states[1]*(1.00000-states[20])-constants[66]*states[20] rates[20] = algebraic[88] algebraic[77] = (states[1]-states[17])/constants[50] algebraic[89] = custom_piecewise([greater(constants[13] , 0.00000) & greater(voi , constants[71]), 10.0000 , True, 0.00000]) rates[17] = ((1.00000*(algebraic[77]*constants[98]-algebraic[79]*constants[101]))/constants[100]-(constants[56]*algebraic[87]+constants[54]*algebraic[81]+constants[55]*algebraic[84]))-(constants[69]*states[17]*(algebraic[89]-states[24])-constants[70]*states[24]) rates[24] = constants[69]*states[17]*(algebraic[89]-states[24])-constants[70]*states[24] rates[1] = ((algebraic[75]*constants[99])/constants[98]-(((algebraic[69]+algebraic[73])-2.00000*algebraic[66])/(2.00000*constants[2]*constants[98])+algebraic[77]+constants[56]*algebraic[88]))-(constants[69]*states[1]*(algebraic[89]-states[25])-constants[70]*states[25]) rates[25] = constants[69]*states[1]*(algebraic[89]-states[25])-constants[70]*states[25] return(rates) def computeAlgebraic(constants, states, voi): algebraic = array([[0.0] * len(voi)] * sizeAlgebraic) states = array(states) voi = array(voi) algebraic[4] = constants[59]*constants[68]*(1.00000-(states[22]+states[18]))-constants[65]*states[18] algebraic[1] = constants[39]/(constants[39]+states[1]) algebraic[5] = (0.00100000*algebraic[1])/constants[38] algebraic[2] = constants[42]-(constants[42]-constants[43])/(1.00000+power(constants[44]/states[15], constants[45])) algebraic[6] = constants[46]/algebraic[2] algebraic[15] = constants[47]*algebraic[2] algebraic[3] = custom_piecewise([greater(voi , constants[5]) & less(voi , constants[5]+constants[6]), constants[7] , True, constants[8]]) algebraic[7] = custom_piecewise([greater_equal(constants[4] , 1.00000), algebraic[3] , True, states[0]]) algebraic[8] = 0.716653/(0.0708000*exp(-(((algebraic[7]+5.00000)-constants[89])-constants[90])/20.2791)+10.6000*exp(((algebraic[7]-constants[89])-constants[90])/18.0000)) algebraic[25] = 1.00000/(1.00000+exp((((algebraic[7]+52.5000)-constants[89])-constants[90])/9.00000)) algebraic[10] = 20.0000*exp(-0.125000*(algebraic[7]+75.0000)) algebraic[27] = 2000.00/(320.000*exp(-0.100000*(algebraic[7]+75.0000))+1.00000) algebraic[12] = 1.00000/(1.00000+exp((algebraic[7]+37.4000)/5.30000)) algebraic[29] = 0.00100000*(44.3000+230.000*exp(-(power((algebraic[7]+36.0000)/10.0000, 2.00000)))) algebraic[13] = 1.00000/(1.00000+exp(-(algebraic[7]+38.3000)/5.50000)) algebraic[30] = 0.00100000/(1.06800*exp((algebraic[7]+38.3000)/30.0000)+1.06800*exp(-(algebraic[7]+38.3000)/30.0000)) algebraic[14] = 1.00000/(1.00000+exp((algebraic[7]+58.7000)/3.80000)) algebraic[31] = 1.00000/(16.6700*exp(-(algebraic[7]+75.0000)/83.3000)+16.6700*exp((algebraic[7]+75.0000)/15.3800)) algebraic[17] = 1.00000/(1.00000+exp((algebraic[7]+49.0000)/13.0000)) algebraic[33] = 0.00100000*0.600000*(65.1700/(0.570000*exp(-0.0800000*(algebraic[7]+44.0000))+0.0650000*exp(0.100000*(algebraic[7]+45.9300)))+10.1000) algebraic[18] = 1.00000/(1.00000+exp(-(algebraic[7]-19.3000)/15.0000)) algebraic[34] = 0.00100000*0.660000*1.40000*(15.5900/(1.03700*exp(0.0900000*(algebraic[7]+30.6100))+0.369000*exp(-0.120000*(algebraic[7]+23.8400)))+2.98000) algebraic[19] = 1.00000/(1.00000+exp(-(algebraic[7]+14.8000)/8.50000)) algebraic[35] = 0.846554/(4.20000*exp(algebraic[7]/17.0000)+0.150000*exp(-algebraic[7]/21.6000)) algebraic[36] = 1.00000/(30.0000*exp(algebraic[7]/10.0000)+exp(-algebraic[7]/12.0000)) algebraic[37] = 1.00000/(1.00000+exp((algebraic[7]+28.6000)/17.1000)) algebraic[22] = 1.00000/(100.000*exp(-algebraic[7]/54.6450)+656.000*exp(algebraic[7]/106.157)) algebraic[9] = algebraic[7]+41.0000 algebraic[26] = custom_piecewise([less(fabs(algebraic[9]) , constants[36]), 2000.00 , True, (200.000*algebraic[9])/(1.00000-exp(-0.100000*algebraic[9]))]) algebraic[40] = 8000.00*exp(-0.0560000*(algebraic[7]+66.0000)) algebraic[24] = 10.0000*exp(0.0133000*(algebraic[7]+40.0000)) algebraic[39] = constants[103]/(constants[103]+algebraic[24]) algebraic[44] = 1.00000/(constants[103]+algebraic[24]) algebraic[23] = (14.0000/(1.00000+exp(-((algebraic[7]-40.0000)-constants[102])/12.0000)))/(14.0000/(1.00000+exp(-((algebraic[7]-40.0000)-constants[102])/12.0000))+1.00000*exp(-(algebraic[7]-constants[102])/45.0000)) algebraic[38] = 28.0000/(1.00000+exp(-((algebraic[7]-40.0000)-constants[102])/3.00000)) algebraic[43] = 1.00000*exp(-(((algebraic[7]-constants[102])-constants[80])-5.00000)/25.0000) algebraic[47] = 1.00000/(algebraic[38]+algebraic[43]) algebraic[11] = 1.00000/(1.00000+exp(-((algebraic[7]+20.3000)-constants[95])/(constants[96]*4.20000))) algebraic[28] = custom_piecewise([equal(algebraic[7] , -41.8000), -41.8000 , equal(algebraic[7] , 0.00000), 0.00000 , equal(algebraic[7] , -6.80000), -6.80001 , True, algebraic[7]]) algebraic[41] = (-0.0283900*((algebraic[28]+41.8000)-constants[95]))/(exp(-((algebraic[28]+41.8000)-constants[95])/2.50000)-1.00000)-(0.0849000*((algebraic[28]+6.80000)-constants[95]))/(exp(-((algebraic[28]+6.80000)-constants[95])/4.80000)-1.00000) algebraic[45] = custom_piecewise([equal(algebraic[7] , -1.80000), -1.80001 , True, algebraic[7]]) algebraic[48] = (0.0114300*((algebraic[45]+1.80000)-constants[95]))/(exp(((algebraic[45]+1.80000)-constants[95])/2.50000)-1.00000) algebraic[50] = 0.00100000/(algebraic[41]+algebraic[48]) algebraic[16] = custom_piecewise([greater(constants[13] , 0.00000), 7.50000 , True, states[2]]) algebraic[32] = constants[85]*log(constants[14]/algebraic[16]) algebraic[52] = constants[91]*constants[21]*(power(1.00000+power(constants[19]/constants[16], 1.20000), -1.00000))*(power(1.00000+power(constants[20]/algebraic[16], 1.30000), -1.00000))*(power(1.00000+exp(-((algebraic[7]-algebraic[32])+110.000)/20.0000), -1.00000)) algebraic[54] = exp((-constants[24]*algebraic[7])/(2.00000*constants[85])) algebraic[60] = 1.00000+(constants[17]/constants[34])*(1.00000+exp((constants[25]*algebraic[7])/constants[85]))+(constants[14]/constants[32])*(1.00000+(constants[14]/constants[33])*(1.00000+constants[14]/constants[31])) algebraic[62] = ((((constants[14]/constants[32])*constants[14])/constants[33])*(1.00000+constants[14]/constants[31])*exp((-constants[24]*algebraic[7])/(2.00000*constants[85])))/algebraic[60] algebraic[61] = ((constants[17]/constants[34])*exp((constants[25]*algebraic[7])/constants[85]))/algebraic[60] algebraic[58] = exp((constants[24]*algebraic[7])/(2.00000*constants[85])) algebraic[53] = algebraic[16]/(constants[26]+algebraic[16]) algebraic[63] = algebraic[54]*constants[92]*(algebraic[62]+algebraic[61])+algebraic[61]*algebraic[58]*(algebraic[53]+algebraic[54]) algebraic[55] = 1.00000+(states[1]/constants[27])*(1.00000+exp((-constants[23]*algebraic[7])/constants[85])+algebraic[16]/constants[30])+(algebraic[16]/constants[28])*(1.00000+(algebraic[16]/constants[29])*(1.00000+algebraic[16]/constants[26])) algebraic[56] = ((states[1]/constants[27])*exp((-constants[23]*algebraic[7])/constants[85]))/algebraic[55] algebraic[57] = ((((algebraic[16]/constants[28])*algebraic[16])/constants[29])*(1.00000+algebraic[16]/constants[26])*exp((constants[24]*algebraic[7])/(2.00000*constants[85])))/algebraic[55] algebraic[59] = algebraic[58]*algebraic[53]*(algebraic[57]+algebraic[56])+algebraic[54]*algebraic[56]*(constants[92]+algebraic[58]) algebraic[64] = algebraic[57]*algebraic[53]*(algebraic[62]+algebraic[61])+algebraic[56]*algebraic[62]*(algebraic[53]+algebraic[54]) algebraic[65] = algebraic[62]*constants[92]*(algebraic[57]+algebraic[56])+algebraic[57]*algebraic[61]*(constants[92]+algebraic[58]) algebraic[66] = (constants[22]*(algebraic[59]*algebraic[61]-algebraic[63]*algebraic[56]))/(algebraic[63]+algebraic[59]+algebraic[64]+algebraic[65]) algebraic[67] = constants[85]*log((constants[14]+0.120000*constants[16])/(algebraic[16]+0.120000*constants[15])) algebraic[68] = constants[35]*(power(states[4], 3.00000))*states[5]*(algebraic[7]-algebraic[67]) algebraic[42] = custom_piecewise([greater_equal(constants[10] , 1.00000), (10.6015/5.00000)/(10.6015/5.00000+exp((-0.710000*algebraic[7])/25.0000)) , True, 1.00000]) algebraic[46] = (((power(states[3], 2.00000))*constants[16])/(constants[16]+constants[18]))*constants[82]*(algebraic[7]-algebraic[32])*algebraic[42] algebraic[71] = ((1.85000e-05*constants[37]*(algebraic[7]-0.00000))/(constants[85]*(1.00000-exp((-1.00000*(algebraic[7]-0.00000))/constants[85]))))*(algebraic[16]-constants[14]*exp((-1.00000*(algebraic[7]-0.00000))/constants[85]))*states[6]*states[7]*states[8] algebraic[81] = constants[58]*states[17]*(1.00000-states[21])-constants[63]*states[21] algebraic[79] = constants[88]/(1.00000+constants[53]/states[17]) algebraic[82] = (states[16]-states[15])/constants[51] algebraic[84] = constants[60]*states[17]*(1.00000-(states[22]+states[18]))-constants[64]*states[22] algebraic[85] = constants[62]*states[15]*(1.00000-states[23])-constants[67]*states[23] algebraic[75] = constants[41]*states[12]*(states[15]-states[1]) algebraic[49] = (((power(states[3], 2.00000))*constants[16])/(constants[16]+constants[18]))*constants[83]*(algebraic[7]-constants[87])*algebraic[42] algebraic[51] = algebraic[46]+algebraic[49] algebraic[76] = constants[79]*(algebraic[7]-constants[87])*(0.900000*states[29]+0.100000*states[28])*states[30] algebraic[78] = constants[85]*log((constants[16]+0.00000*constants[14])/(constants[15]+0.00000*algebraic[16])) algebraic[80] = constants[86]*(algebraic[7]-algebraic[78])*(power(states[31], 2.00000)) algebraic[74] = constants[78]*(algebraic[7]-constants[87])*states[26]*states[27] algebraic[69] = ((2.00000*constants[37]*(algebraic[7]-0.00000))/(constants[85]*(1.00000-exp((-1.00000*(algebraic[7]-0.00000)*2.00000)/constants[85]))))*(states[1]-constants[17]*exp((-2.00000*(algebraic[7]-0.00000))/constants[85]))*states[6]*states[7]*states[8] algebraic[70] = ((0.000365000*constants[37]*(algebraic[7]-0.00000))/(constants[85]*(1.00000-exp((-1.00000*(algebraic[7]-0.00000))/constants[85]))))*(constants[15]-constants[16]*exp((-1.00000*(algebraic[7]-0.00000))/constants[85]))*states[6]*states[7]*states[8] algebraic[72] = (algebraic[69]+algebraic[70]+algebraic[71])*(1.00000-constants[94])*1.00000*constants[93] algebraic[73] = ((2.00000*constants[40]*algebraic[7])/(constants[85]*(1.00000-exp((-1.00000*algebraic[7]*2.00000)/constants[85]))))*(states[1]-constants[17]*exp((-2.00000*algebraic[7])/constants[85]))*states[9]*states[10] algebraic[83] = custom_piecewise([greater(constants[11] , 0.00000), constants[81]*(algebraic[7]-constants[87])*(1.00000+exp((algebraic[7]+20.0000)/20.0000))*states[32] , True, 0.00000]) algebraic[86] = algebraic[51]+algebraic[76]+algebraic[80]+algebraic[74]+algebraic[52]+algebraic[66]+algebraic[68]+algebraic[72]+algebraic[73]+algebraic[83] algebraic[87] = constants[61]*states[17]*(1.00000-states[19])-constants[66]*states[19] algebraic[88] = constants[61]*states[1]*(1.00000-states[20])-constants[66]*states[20] algebraic[77] = (states[1]-states[17])/constants[50] algebraic[89] = custom_piecewise([greater(constants[13] , 0.00000) & greater(voi , constants[71]), 10.0000 , True, 0.00000]) algebraic[0] = 0.500000*constants[85]*log(constants[17]/states[1]) algebraic[20] = (1.00000/(1.00000+exp(-(algebraic[7]+23.2000)/6.60000)))/(0.846554/(37.2000*exp(algebraic[7]/11.9000)+0.960000*exp(-algebraic[7]/18.5000))) algebraic[21] = 4.00000*((37.2000*exp(algebraic[7]/15.9000)+0.960000*exp(-algebraic[7]/22.5000))/0.846554-(1.00000/(1.00000+exp(-(algebraic[7]+23.2000)/10.6000)))/(0.846554/(37.2000*exp(algebraic[7]/15.9000)+0.960000*exp(-algebraic[7]/22.5000)))) 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)