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 = 101
sizeStates = 33
sizeConstants = 116
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[91] = "RTONF in component Membrane (millivolt)"
    legend_algebraic[59] = "i_f in component i_f (nanoA)"
    legend_algebraic[61] = "i_NaK in component i_NaK (nanoA)"
    legend_algebraic[75] = "i_NaCa in component i_NaCa (nanoA)"
    legend_algebraic[79] = "i_Na in component i_Na (nanoA)"
    legend_algebraic[89] = "i_Kr in component i_Kr (nanoA)"
    legend_algebraic[95] = "i_Ks in component i_Ks (nanoA)"
    legend_algebraic[87] = "i_to in component i_to (nanoA)"
    legend_algebraic[83] = "i_CaL in component i_CaL (nanoA)"
    legend_algebraic[84] = "i_CaT in component i_CaT (nanoA)"
    legend_algebraic[98] = "i_KACh in component i_KACh (nanoA)"
    legend_algebraic[85] = "i_Kur in component i_Kur (nanoA)"
    legend_algebraic[9] = "V in component Membrane (millivolt)"
    legend_constants[4] = "clamp_mode in component Membrane (dimensionless)"
    legend_algebraic[5] = "V_clamp in component Voltage_clamp (millivolt)"
    legend_states[0] = "V_ode in component Membrane (millivolt)"
    legend_algebraic[100] = "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] = "ACh in component Rate_modulation_experiments (millimolar)"
    legend_constants[10] = "Iso_1_uM in component Rate_modulation_experiments (dimensionless)"
    legend_algebraic[18] = "Nai in component Nai_concentration (millimolar)"
    legend_constants[11] = "Nao in component Ionic_values (millimolar)"
    legend_constants[12] = "Ki in component Ionic_values (millimolar)"
    legend_constants[13] = "Ko in component Ionic_values (millimolar)"
    legend_states[1] = "Ca_sub in component Ca_dynamics (millimolar)"
    legend_constants[14] = "Cao in component Ionic_values (millimolar)"
    legend_algebraic[36] = "E_Na in component Ionic_values (millivolt)"
    legend_constants[96] = "E_K in component Ionic_values (millivolt)"
    legend_algebraic[0] = "E_Ca in component Ionic_values (millivolt)"
    legend_constants[110] = "V_sub in component Cell_parameters (millimetre3)"
    legend_constants[112] = "V_i in component Cell_parameters (millimetre3)"
    legend_algebraic[49] = "i_fNa in component i_f (nanoA)"
    legend_algebraic[82] = "i_siNa in component i_CaL (nanoA)"
    legend_states[2] = "Nai_ in component Nai_concentration (millimolar)"
    legend_constants[15] = "Nai_clamp in component Nai_concentration (dimensionless)"
    legend_algebraic[55] = "i_fK in component i_f (nanoA)"
    legend_constants[16] = "g_f in component i_f (microS)"
    legend_constants[92] = "G_f in component i_f (microS)"
    legend_constants[103] = "g_f_Na in component i_f (microS)"
    legend_constants[100] = "G_f_Na in component i_f (microS)"
    legend_constants[101] = "g_f_K in component i_f (microS)"
    legend_constants[97] = "G_f_K in component i_f (microS)"
    legend_constants[17] = "Km_f in component i_f (millimolar)"
    legend_constants[18] = "alpha in component i_f (dimensionless)"
    legend_states[3] = "y in component i_f_y_gate (dimensionless)"
    legend_constants[19] = "blockade in component i_f (dimensionless)"
    legend_algebraic[10] = "tau_y in component i_f_y_gate (second)"
    legend_algebraic[29] = "y_infinity in component i_f_y_gate (dimensionless)"
    legend_constants[95] = "ACh_shift in component i_f_y_gate (millivolt)"
    legend_constants[99] = "Iso_shift in component i_f_y_gate (millivolt)"
    legend_constants[20] = "y_shift in component i_f_y_gate (millivolt)"
    legend_constants[21] = "Km_Kp in component i_NaK (millimolar)"
    legend_constants[22] = "Km_Nap in component i_NaK (millimolar)"
    legend_constants[23] = "i_NaK_max in component i_NaK (nanoA)"
    legend_constants[102] = "Iso_increase in component i_NaK (dimensionless)"
    legend_constants[24] = "K_NaCa in component i_NaCa (nanoA)"
    legend_algebraic[72] = "x1 in component i_NaCa (dimensionless)"
    legend_algebraic[68] = "x2 in component i_NaCa (dimensionless)"
    legend_algebraic[73] = "x3 in component i_NaCa (dimensionless)"
    legend_algebraic[74] = "x4 in component i_NaCa (dimensionless)"
    legend_algebraic[63] = "k41 in component i_NaCa (dimensionless)"
    legend_constants[104] = "k34 in component i_NaCa (dimensionless)"
    legend_algebraic[71] = "k23 in component i_NaCa (dimensionless)"
    legend_algebraic[70] = "k21 in component i_NaCa (dimensionless)"
    legend_algebraic[67] = "k32 in component i_NaCa (dimensionless)"
    legend_algebraic[62] = "k43 in component i_NaCa (dimensionless)"
    legend_algebraic[65] = "k12 in component i_NaCa (dimensionless)"
    legend_algebraic[66] = "k14 in component i_NaCa (dimensionless)"
    legend_constants[25] = "Qci in component i_NaCa (dimensionless)"
    legend_constants[26] = "Qn in component i_NaCa (dimensionless)"
    legend_constants[27] = "Qco in component i_NaCa (dimensionless)"
    legend_constants[28] = "K3ni in component i_NaCa (millimolar)"
    legend_constants[29] = "Kci in component i_NaCa (millimolar)"
    legend_constants[30] = "K1ni in component i_NaCa (millimolar)"
    legend_constants[31] = "K2ni in component i_NaCa (millimolar)"
    legend_constants[32] = "Kcni in component i_NaCa (millimolar)"
    legend_constants[33] = "K3no in component i_NaCa (millimolar)"
    legend_constants[34] = "K1no in component i_NaCa (millimolar)"
    legend_constants[35] = "K2no in component i_NaCa (millimolar)"
    legend_constants[36] = "Kco in component i_NaCa (millimolar)"
    legend_algebraic[69] = "do in component i_NaCa (dimensionless)"
    legend_algebraic[64] = "di in component i_NaCa (dimensionless)"
    legend_constants[37] = "blockade_NaCa in component i_NaCa (dimensionless)"
    legend_algebraic[77] = "i_Na_ in component i_Na (nanoA)"
    legend_algebraic[78] = "i_Na_L in component i_Na (nanoA)"
    legend_constants[38] = "g_Na in component i_Na (microS)"
    legend_constants[39] = "g_Na_L in component i_Na (microS)"
    legend_algebraic[76] = "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[46] = "alpha_m in component i_Na_m_gate (per_second)"
    legend_algebraic[52] = "beta_m in component i_Na_m_gate (per_second)"
    legend_algebraic[11] = "m_infinity in component i_Na_m_gate (dimensionless)"
    legend_algebraic[57] = "tau_m in component i_Na_m_gate (second)"
    legend_constants[40] = "delta_m in component i_Na_m_gate (millivolt)"
    legend_algebraic[30] = "E0_m in component i_Na_m_gate (millivolt)"
    legend_algebraic[31] = "alpha_h in component i_Na_h_gate (per_second)"
    legend_algebraic[47] = "beta_h in component i_Na_h_gate (per_second)"
    legend_algebraic[12] = "h_infinity in component i_Na_h_gate (dimensionless)"
    legend_algebraic[53] = "tau_h in component i_Na_h_gate (second)"
    legend_algebraic[80] = "i_siCa in component i_CaL (nanoA)"
    legend_algebraic[81] = "i_siK in component i_CaL (nanoA)"
    legend_constants[106] = "ACh_block in component i_CaL (dimensionless)"
    legend_constants[41] = "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[105] = "Iso_increase in component i_CaL (dimensionless)"
    legend_algebraic[13] = "dL_infinity in component i_CaL_dL_gate (dimensionless)"
    legend_algebraic[60] = "tau_dL in component i_CaL_dL_gate (second)"
    legend_algebraic[48] = "alpha_dL in component i_CaL_dL_gate (per_second)"
    legend_algebraic[58] = "beta_dL in component i_CaL_dL_gate (per_second)"
    legend_algebraic[32] = "adVm in component i_CaL_dL_gate (millivolt)"
    legend_algebraic[54] = "bdVm in component i_CaL_dL_gate (millivolt)"
    legend_constants[42] = "k_dL in component i_CaL_dL_gate (millivolt)"
    legend_constants[43] = "V_dL in component i_CaL_dL_gate (millivolt)"
    legend_constants[107] = "Iso_shift_dL in component i_CaL_dL_gate (millivolt)"
    legend_constants[108] = "Iso_slope_dL in component i_CaL_dL_gate (dimensionless)"
    legend_algebraic[14] = "fL_infinity in component i_CaL_fL_gate (dimensionless)"
    legend_algebraic[33] = "tau_fL in component i_CaL_fL_gate (second)"
    legend_constants[44] = "shift_fL in component i_CaL_fL_gate (millivolt)"
    legend_constants[45] = "k_fL in component i_CaL_fL_gate (millivolt)"
    legend_constants[46] = "alpha_fCa in component i_CaL_fCa_gate (per_second)"
    legend_algebraic[1] = "fCa_infinity in component i_CaL_fCa_gate (dimensionless)"
    legend_algebraic[7] = "tau_fCa in component i_CaL_fCa_gate (second)"
    legend_constants[47] = "Km_fCa in component i_CaL_fCa_gate (millimolar)"
    legend_constants[48] = "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[15] = "dT_infinity in component i_CaT_dT_gate (dimensionless)"
    legend_algebraic[34] = "tau_dT in component i_CaT_dT_gate (second)"
    legend_algebraic[16] = "fT_infinity in component i_CaT_fT_gate (dimensionless)"
    legend_algebraic[35] = "tau_fT in component i_CaT_fT_gate (second)"
    legend_constants[49] = "offset_fT in component i_CaT_fT_gate (second)"
    legend_algebraic[86] = "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[50] = "ks in component Ca_SR_release (per_second)"
    legend_constants[51] = "MaxSR in component Ca_SR_release (dimensionless)"
    legend_constants[52] = "MinSR in component Ca_SR_release (dimensionless)"
    legend_constants[53] = "EC50_SR in component Ca_SR_release (millimolar)"
    legend_constants[54] = "HSR in component Ca_SR_release (dimensionless)"
    legend_algebraic[8] = "koSRCa in component Ca_SR_release (per_millimolar2_second)"
    legend_algebraic[17] = "kiSRCa in component Ca_SR_release (per_millimolar_second)"
    legend_constants[55] = "koCa in component Ca_SR_release (per_millimolar2_second)"
    legend_constants[56] = "kiCa in component Ca_SR_release (per_millimolar_second)"
    legend_algebraic[2] = "kCaSR in component Ca_SR_release (dimensionless)"
    legend_constants[57] = "kim in component Ca_SR_release (per_second)"
    legend_constants[58] = "kom in component Ca_SR_release (per_second)"
    legend_states[15] = "Ca_jsr in component Ca_dynamics (millimolar)"
    legend_algebraic[3] = "diff in component Ca_SR_release (millimolar)"
    legend_algebraic[4] = "P_tot in component Ca_SR_release (dimensionless)"
    legend_algebraic[88] = "j_Ca_dif in component Ca_intracellular_fluxes (millimolar_per_second)"
    legend_algebraic[91] = "j_up in component Ca_intracellular_fluxes (millimolar_per_second)"
    legend_algebraic[94] = "j_tr in component Ca_intracellular_fluxes (millimolar_per_second)"
    legend_constants[59] = "tau_dif_Ca in component Ca_intracellular_fluxes (second)"
    legend_constants[60] = "tau_tr in component Ca_intracellular_fluxes (second)"
    legend_constants[98] = "P_up in component Ca_intracellular_fluxes (millimolar_per_second)"
    legend_constants[61] = "P_up_basal in component Ca_intracellular_fluxes (millimolar_per_second)"
    legend_constants[93] = "b_up in component Ca_intracellular_fluxes (dimensionless)"
    legend_constants[62] = "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[63] = "slope_up in component Ca_intracellular_fluxes (millimolar)"
    legend_constants[64] = "TC_tot in component Ca_buffering (millimolar)"
    legend_constants[65] = "TMC_tot in component Ca_buffering (millimolar)"
    legend_constants[66] = "CM_tot in component Ca_buffering (millimolar)"
    legend_constants[67] = "CQ_tot in component Ca_buffering (millimolar)"
    legend_algebraic[93] = "delta_fTC in component Ca_buffering (per_second)"
    legend_algebraic[96] = "delta_fTMC in component Ca_buffering (per_second)"
    legend_algebraic[90] = "delta_fCMs in component Ca_buffering (per_second)"
    legend_algebraic[99] = "delta_fCMi in component Ca_buffering (per_second)"
    legend_algebraic[97] = "delta_fCQ in component Ca_buffering (per_second)"
    legend_algebraic[6] = "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[68] = "kf_TC in component Ca_buffering (per_millimolar_second)"
    legend_constants[69] = "kf_TMM in component Ca_buffering (per_millimolar_second)"
    legend_constants[70] = "kf_TMC in component Ca_buffering (per_millimolar_second)"
    legend_constants[71] = "kf_CM in component Ca_buffering (per_millimolar_second)"
    legend_constants[72] = "kf_CQ in component Ca_buffering (per_millimolar_second)"
    legend_constants[73] = "kb_TC in component Ca_buffering (per_second)"
    legend_constants[74] = "kb_TMC in component Ca_buffering (per_second)"
    legend_constants[75] = "kb_TMM in component Ca_buffering (per_second)"
    legend_constants[76] = "kb_CM in component Ca_buffering (per_second)"
    legend_constants[77] = "kb_CQ in component Ca_buffering (per_second)"
    legend_constants[78] = "Mgi in component Ca_buffering (millimolar)"
    legend_constants[111] = "V_jsr in component Cell_parameters (millimetre3)"
    legend_constants[113] = "V_nsr in component Cell_parameters (millimetre3)"
    legend_constants[109] = "V_cell in component Cell_parameters (millimetre3)"
    legend_constants[79] = "V_jsr_part in component Cell_parameters (dimensionless)"
    legend_constants[80] = "V_i_part in component Cell_parameters (dimensionless)"
    legend_constants[81] = "V_nsr_part in component Cell_parameters (dimensionless)"
    legend_constants[82] = "R_cell in component Cell_parameters (micrometre)"
    legend_constants[83] = "L_cell in component Cell_parameters (micrometre)"
    legend_constants[84] = "L_sub in component Cell_parameters (micrometre)"
    legend_constants[85] = "g_Kur in component i_Kur (microS)"
    legend_states[24] = "r_Kur in component i_Kur_rKur_gate (dimensionless)"
    legend_states[25] = "s_Kur in component i_Kur_sKur_gate (dimensionless)"
    legend_algebraic[37] = "tau_r_Kur in component i_Kur_rKur_gate (second)"
    legend_algebraic[19] = "r_Kur_infinity in component i_Kur_rKur_gate (dimensionless)"
    legend_algebraic[38] = "tau_s_Kur in component i_Kur_sKur_gate (second)"
    legend_algebraic[20] = "s_Kur_infinity in component i_Kur_sKur_gate (dimensionless)"
    legend_constants[86] = "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[21] = "q_infinity in component i_to_q_gate (dimensionless)"
    legend_algebraic[39] = "tau_q in component i_to_q_gate (second)"
    legend_algebraic[22] = "r_infinity in component i_to_r_gate (dimensionless)"
    legend_algebraic[40] = "tau_r in component i_to_r_gate (second)"
    legend_constants[87] = "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[23] = "pa_infinity in component i_Kr_pa_gate (dimensionless)"
    legend_algebraic[24] = "alfapaF in component i_Kr_pa_gate (per_second)"
    legend_algebraic[25] = "betapaF in component i_Kr_pa_gate (per_second)"
    legend_algebraic[41] = "tau_paS in component i_Kr_pa_gate (second)"
    legend_algebraic[42] = "tau_paF in component i_Kr_pa_gate (second)"
    legend_algebraic[43] = "pi_infinity in component i_Kr_pi_gate (dimensionless)"
    legend_algebraic[26] = "tau_pi in component i_Kr_pi_gate (second)"
    legend_constants[94] = "g_Ks in component i_Ks (microS)"
    legend_constants[88] = "g_Ks_ in component i_Ks (microS)"
    legend_algebraic[92] = "E_Ks in component i_Ks (millivolt)"
    legend_states[31] = "n in component i_Ks_n_gate (dimensionless)"
    legend_algebraic[27] = "n_infinity in component i_Ks_n_gate (dimensionless)"
    legend_algebraic[56] = "tau_n in component i_Ks_n_gate (second)"
    legend_constants[114] = "Iso_shift in component i_Ks_n_gate (millivolt)"
    legend_algebraic[44] = "alpha_n in component i_Ks_n_gate (per_second)"
    legend_algebraic[50] = "beta_n in component i_Ks_n_gate (per_second)"
    legend_constants[89] = "g_KACh in component i_KACh (microS)"
    legend_states[32] = "a in component i_KACh_a_gate (dimensionless)"
    legend_constants[90] = "ACh_on in component i_KACh (dimensionless)"
    legend_constants[115] = "alpha_a in component i_KACh_a_gate (per_second)"
    legend_algebraic[28] = "beta_a in component i_KACh_a_gate (per_second)"
    legend_algebraic[45] = "a_infinity in component i_KACh_a_gate (dimensionless)"
    legend_algebraic[51] = "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[1] = "d/dt Ca_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[24] = "d/dt r_Kur in component i_Kur_rKur_gate (dimensionless)"
    legend_rates[25] = "d/dt s_Kur in component i_Kur_sKur_gate (dimensionless)"
    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] = 5.7e-5
    constants[4] = 0
    states[0] = -47.787168
    constants[5] = 0.5
    constants[6] = 0.5
    constants[7] = -35
    constants[8] = -45
    constants[9] = 0
    constants[10] = 0
    constants[11] = 140
    constants[12] = 140
    constants[13] = 5.4
    states[1] = 6.226104e-5
    constants[14] = 1.8
    states[2] = 5
    constants[15] = 1
    constants[16] = 0.00427
    constants[17] = 45
    constants[18] = 0.5927
    states[3] = 0.009508
    constants[19] = 0
    constants[20] = 0
    constants[21] = 1.4
    constants[22] = 14
    constants[23] = 0.08105
    constants[24] = 3.343
    constants[25] = 0.1369
    constants[26] = 0.4315
    constants[27] = 0
    constants[28] = 26.44
    constants[29] = 0.0207
    constants[30] = 395.3
    constants[31] = 2.289
    constants[32] = 26.44
    constants[33] = 4.663
    constants[34] = 1628
    constants[35] = 561.4
    constants[36] = 3.663
    constants[37] = 0
    constants[38] = 0.0223
    constants[39] = 0
    states[4] = 0.447724
    states[5] = 0.003058
    constants[40] = 1e-5
    constants[41] = 0.4578
    states[6] = 0.001921
    states[7] = 0.846702
    states[8] = 0.844449
    constants[42] = 4.3371
    constants[43] = -16.4508
    constants[44] = 0
    constants[45] = 0
    constants[46] = 0.0075
    constants[47] = 0.000338
    constants[48] = 0.04132
    states[9] = 0.268909
    states[10] = 0.020484
    constants[49] = 0
    states[11] = 0.9308
    states[12] = 6.181512e-9
    states[13] = 4.595622e-10
    states[14] = 0.069199
    constants[50] = 148041085.1
    constants[51] = 15
    constants[52] = 1
    constants[53] = 0.45
    constants[54] = 2.5
    constants[55] = 10000
    constants[56] = 500
    constants[57] = 5
    constants[58] = 660
    states[15] = 0.409551
    constants[59] = 5.469e-5
    constants[60] = 0.04
    constants[61] = 5
    constants[62] = 0.000286113
    states[16] = 0.435148
    states[17] = 9.15641e-6
    constants[63] = 5e-5
    constants[64] = 0.031
    constants[65] = 0.062
    constants[66] = 0.045
    constants[67] = 10
    states[18] = 0.653777
    states[19] = 0.217311
    states[20] = 0.158521
    states[21] = 0.017929
    states[22] = 0.259947
    states[23] = 0.138975
    constants[68] = 88800
    constants[69] = 2277
    constants[70] = 227700
    constants[71] = 1.642e6
    constants[72] = 175.4
    constants[73] = 446
    constants[74] = 7.51
    constants[75] = 751
    constants[76] = 542
    constants[77] = 445
    constants[78] = 2.5
    constants[79] = 0.0012
    constants[80] = 0.46
    constants[81] = 0.0116
    constants[82] = 3.9
    constants[83] = 67
    constants[84] = 0.02
    constants[85] = 0.1539e-3
    states[24] = 0.011845
    states[25] = 0.845304
    constants[86] = 3.5e-3
    states[26] = 0.430836
    states[27] = 0.014523
    constants[87] = 0.00424
    states[28] = 0.283185
    states[29] = 0.011068
    states[30] = 0.709051
    constants[88] = 0.00065
    states[31] = 0.1162
    constants[89] = 0.00345
    states[32] = 0.00277
    constants[90] = 1
    constants[91] = (constants[0]*constants[1])/constants[2]
    constants[92] = constants[16]/(constants[13]/(constants[13]+constants[17]))
    constants[93] = custom_piecewise([greater(constants[10] , 0.00000), -0.250000 , greater(constants[9] , 0.00000), (0.700000*constants[9])/(9.00000e-05+constants[9]) , True, 0.00000])
    constants[94] = custom_piecewise([greater(constants[10] , 0.00000), 1.20000*constants[88] , True, constants[88]])
    constants[95] = custom_piecewise([greater(constants[9] , 0.00000), -1.00000-(9.89800*(power(1.00000*constants[9], 0.618000)))/(power(1.00000*constants[9], 0.618000)+0.00122423) , True, 0.00000])
    constants[96] = constants[91]*log(constants[13]/constants[12])
    constants[97] = constants[92]/(constants[18]+1.00000)
    constants[98] = constants[61]*(1.00000-constants[93])
    constants[99] = custom_piecewise([greater(constants[10] , 0.00000), 7.50000 , True, 0.00000])
    constants[100] = constants[18]*constants[97]
    constants[101] = (constants[97]*constants[13])/(constants[13]+constants[17])
    constants[102] = custom_piecewise([greater(constants[10] , 0.00000), 1.20000 , True, 1.00000])
    constants[103] = (constants[100]*constants[13])/(constants[13]+constants[17])
    constants[104] = constants[11]/(constants[33]+constants[11])
    constants[105] = custom_piecewise([greater(constants[10] , 0.00000), 1.23000 , True, 1.00000])
    constants[106] = (0.310000*constants[9])/(constants[9]+9.00000e-05)
    constants[107] = custom_piecewise([greater(constants[10] , 0.00000), -8.00000 , True, 0.00000])
    constants[108] = custom_piecewise([greater(constants[10] , 0.00000), -27.0000 , True, 0.00000])
    constants[109] = 1.00000e-09* pi*(power(constants[82], 2.00000))*constants[83]
    constants[110] = 1.00000e-09*2.00000* pi*constants[84]*(constants[82]-constants[84]/2.00000)*constants[83]
    constants[111] = constants[79]*constants[109]
    constants[112] = constants[80]*constants[109]-constants[110]
    constants[113] = constants[81]*constants[109]
    constants[114] = custom_piecewise([greater(constants[10] , 0.00000), -14.0000 , True, 0.00000])
    constants[115] = (3.59880-0.0256410)/(1.00000+1.21550e-06/(power(1.00000*constants[9], 1.69510)))+0.0256410
    return (states, constants)

def computeRates(voi, states, constants):
    rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
    algebraic[6] = constants[69]*constants[78]*(1.00000-(states[22]+states[18]))-constants[75]*states[18]
    rates[18] = algebraic[6]
    algebraic[1] = constants[47]/(constants[47]+states[1])
    algebraic[7] = (0.00100000*algebraic[1])/constants[46]
    rates[8] = (algebraic[1]-states[8])/algebraic[7]
    algebraic[2] = constants[51]-(constants[51]-constants[52])/(1.00000+power(constants[53]/states[15], constants[54]))
    algebraic[8] = constants[55]/algebraic[2]
    algebraic[17] = constants[56]*algebraic[2]
    rates[11] = (constants[57]*states[14]-algebraic[17]*states[1]*states[11])-(algebraic[8]*(power(states[1], 2.00000))*states[11]-constants[58]*states[12])
    rates[12] = (algebraic[8]*(power(states[1], 2.00000))*states[11]-constants[58]*states[12])-(algebraic[17]*states[1]*states[12]-constants[57]*states[13])
    rates[13] = (algebraic[17]*states[1]*states[12]-constants[57]*states[13])-(constants[58]*states[13]-algebraic[8]*(power(states[1], 2.00000))*states[14])
    rates[14] = (constants[58]*states[13]-algebraic[8]*(power(states[1], 2.00000))*states[14])-(constants[57]*states[14]-algebraic[17]*states[1]*states[11])
    algebraic[5] = custom_piecewise([greater(voi , constants[5]) & less(voi , constants[5]+constants[6]), constants[7] , True, constants[8]])
    algebraic[9] = custom_piecewise([greater_equal(constants[4] , 1.00000), algebraic[5] , True, states[0]])
    algebraic[10] = 1.00000/((0.360000*(((algebraic[9]+148.800)-constants[95])-constants[99]))/(exp(0.0660000*(((algebraic[9]+148.800)-constants[95])-constants[99]))-1.00000)+(0.100000*(((algebraic[9]+87.3000)-constants[95])-constants[99]))/(1.00000-exp(-0.200000*(((algebraic[9]+87.3000)-constants[95])-constants[99]))))-0.0540000
    algebraic[29] = custom_piecewise([less(algebraic[9] , -(((80.0000-constants[95])-constants[99])-constants[20])), 0.0132900+0.999210/(1.00000+exp(((((algebraic[9]+97.1340)-constants[95])-constants[99])-constants[20])/8.17520)) , True, 0.000250100*exp(-(((algebraic[9]-constants[95])-constants[99])-constants[20])/12.8610)])
    rates[3] = (algebraic[29]-states[3])/algebraic[10]
    algebraic[14] = 1.00000/(1.00000+exp((algebraic[9]+37.4000+constants[44])/(5.30000+constants[45])))
    algebraic[33] = 0.00100000*(44.3000+230.000*exp(-(power((algebraic[9]+36.0000)/10.0000, 2.00000))))
    rates[7] = (algebraic[14]-states[7])/algebraic[33]
    algebraic[15] = 1.00000/(1.00000+exp(-(algebraic[9]+38.3000)/5.50000))
    algebraic[34] = 0.00100000/(1.06800*exp((algebraic[9]+38.3000)/30.0000)+1.06800*exp(-(algebraic[9]+38.3000)/30.0000))
    rates[9] = (algebraic[15]-states[9])/algebraic[34]
    algebraic[16] = 1.00000/(1.00000+exp((algebraic[9]+58.7000)/3.80000))
    algebraic[35] = 1.00000/(16.6700*exp(-(algebraic[9]+75.0000)/83.3000)+16.6700*exp((algebraic[9]+75.0000)/15.3800))+constants[49]
    rates[10] = (algebraic[16]-states[10])/algebraic[35]
    algebraic[37] = 0.00900000/(1.00000+exp((algebraic[9]+5.00000)/12.0000))+0.000500000
    algebraic[19] = 1.00000/(1.00000+exp((algebraic[9]+6.00000)/-8.60000))
    rates[24] = (algebraic[19]-states[24])/algebraic[37]
    algebraic[38] = 0.590000/(1.00000+exp((algebraic[9]+60.0000)/10.0000))+3.05000
    algebraic[20] = 1.00000/(1.00000+exp((algebraic[9]+7.50000)/10.0000))
    rates[25] = (algebraic[20]-states[25])/algebraic[38]
    algebraic[21] = 1.00000/(1.00000+exp((algebraic[9]+49.0000)/13.0000))
    algebraic[39] = 0.00100000*0.600000*(65.1700/(0.570000*exp(-0.0800000*(algebraic[9]+44.0000))+0.0650000*exp(0.100000*(algebraic[9]+45.9300)))+10.1000)
    rates[26] = (algebraic[21]-states[26])/algebraic[39]
    algebraic[22] = 1.00000/(1.00000+exp(-(algebraic[9]-19.3000)/15.0000))
    algebraic[40] = 0.00100000*0.660000*1.40000*(15.5900/(1.03700*exp(0.0900000*(algebraic[9]+30.6100))+0.369000*exp(-0.120000*(algebraic[9]+23.8400)))+2.98000)
    rates[27] = (algebraic[22]-states[27])/algebraic[40]
    algebraic[23] = 1.00000/(1.00000+exp(-(algebraic[9]+10.0144)/7.66070))
    algebraic[41] = 0.846554/(4.20000*exp(algebraic[9]/17.0000)+0.150000*exp(-algebraic[9]/21.6000))
    rates[28] = (algebraic[23]-states[28])/algebraic[41]
    algebraic[42] = 1.00000/(30.0000*exp(algebraic[9]/10.0000)+exp(-algebraic[9]/12.0000))
    rates[29] = (algebraic[23]-states[29])/algebraic[42]
    algebraic[43] = 1.00000/(1.00000+exp((algebraic[9]+28.6000)/17.1000))
    algebraic[26] = 1.00000/(100.000*exp(-algebraic[9]/54.6450)+656.000*exp(algebraic[9]/106.157))
    rates[30] = (algebraic[43]-states[30])/algebraic[26]
    algebraic[28] = 10.0000*exp(0.0133000*(algebraic[9]+40.0000))
    algebraic[45] = constants[115]/(constants[115]+algebraic[28])
    algebraic[51] = 1.00000/(constants[115]+algebraic[28])
    rates[32] = (algebraic[45]-states[32])/algebraic[51]
    algebraic[12] = 1.00000/(1.00000+exp((algebraic[9]+69.8040)/4.45650))
    algebraic[31] = 20.0000*exp(-0.125000*(algebraic[9]+75.0000))
    algebraic[47] = 2000.00/(320.000*exp(-0.100000*(algebraic[9]+75.0000))+1.00000)
    algebraic[53] = 1.00000/(algebraic[31]+algebraic[47])
    rates[5] = (algebraic[12]-states[5])/algebraic[53]
    algebraic[27] = power(1.00000/(1.00000+exp(-((algebraic[9]+0.638300)-constants[114])/10.7071)), 1.0/2)
    algebraic[44] = 28.0000/(1.00000+exp(-((algebraic[9]-40.0000)-constants[114])/3.00000))
    algebraic[50] = 1.00000*exp(-((algebraic[9]-constants[114])-5.00000)/25.0000)
    algebraic[56] = 1.00000/(algebraic[44]+algebraic[50])
    rates[31] = (algebraic[27]-states[31])/algebraic[56]
    algebraic[11] = 1.00000/(1.00000+exp(-(algebraic[9]+42.0504)/8.31060))
    algebraic[30] = algebraic[9]+41.0000
    algebraic[46] = custom_piecewise([less(fabs(algebraic[30]) , constants[40]), 2000.00 , True, (200.000*algebraic[30])/(1.00000-exp(-0.100000*algebraic[30]))])
    algebraic[52] = 8000.00*exp(-0.0560000*(algebraic[9]+66.0000))
    algebraic[57] = 1.00000/(algebraic[46]+algebraic[52])
    rates[4] = (algebraic[11]-states[4])/algebraic[57]
    algebraic[13] = 1.00000/(1.00000+exp(-((algebraic[9]-constants[43])-constants[107])/(constants[42]*(1.00000+constants[108]/100.000))))
    algebraic[32] = custom_piecewise([equal(algebraic[9] , -41.8000), -41.8000 , equal(algebraic[9] , 0.00000), 0.00000 , equal(algebraic[9] , -6.80000), -6.80001 , True, algebraic[9]])
    algebraic[48] = (-0.0283900*(algebraic[32]+41.8000))/(exp(-(algebraic[32]+41.8000)/2.50000)-1.00000)-(0.0849000*(algebraic[32]+6.80000))/(exp(-(algebraic[32]+6.80000)/4.80000)-1.00000)
    algebraic[54] = custom_piecewise([equal(algebraic[9] , -1.80000), -1.80001 , True, algebraic[9]])
    algebraic[58] = (0.0114300*(algebraic[54]+1.80000))/(exp((algebraic[54]+1.80000)/2.50000)-1.00000)
    algebraic[60] = 0.00100000/(algebraic[48]+algebraic[58])
    rates[6] = (algebraic[13]-states[6])/algebraic[60]
    algebraic[18] = states[2]
    algebraic[36] = constants[91]*log(constants[11]/algebraic[18])
    algebraic[61] = constants[102]*constants[23]*(power(1.00000+power(constants[21]/constants[13], 1.20000), -1.00000))*(power(1.00000+power(constants[22]/algebraic[18], 1.30000), -1.00000))*(power(1.00000+exp(-((algebraic[9]-algebraic[36])+110.000)/20.0000), -1.00000))
    algebraic[63] = exp((-constants[26]*algebraic[9])/(2.00000*constants[91]))
    algebraic[69] = 1.00000+(constants[14]/constants[36])*(1.00000+exp((constants[27]*algebraic[9])/constants[91]))+(constants[11]/constants[34])*(1.00000+(constants[11]/constants[35])*(1.00000+constants[11]/constants[33]))
    algebraic[71] = ((((constants[11]/constants[34])*constants[11])/constants[35])*(1.00000+constants[11]/constants[33])*exp((-constants[26]*algebraic[9])/(2.00000*constants[91])))/algebraic[69]
    algebraic[70] = ((constants[14]/constants[36])*exp((constants[27]*algebraic[9])/constants[91]))/algebraic[69]
    algebraic[67] = exp((constants[26]*algebraic[9])/(2.00000*constants[91]))
    algebraic[62] = algebraic[18]/(constants[28]+algebraic[18])
    algebraic[72] = algebraic[63]*constants[104]*(algebraic[71]+algebraic[70])+algebraic[70]*algebraic[67]*(algebraic[62]+algebraic[63])
    algebraic[64] = 1.00000+(states[1]/constants[29])*(1.00000+exp((-constants[25]*algebraic[9])/constants[91])+algebraic[18]/constants[32])+(algebraic[18]/constants[30])*(1.00000+(algebraic[18]/constants[31])*(1.00000+algebraic[18]/constants[28]))
    algebraic[65] = ((states[1]/constants[29])*exp((-constants[25]*algebraic[9])/constants[91]))/algebraic[64]
    algebraic[66] = ((((algebraic[18]/constants[30])*algebraic[18])/constants[31])*(1.00000+algebraic[18]/constants[28])*exp((constants[26]*algebraic[9])/(2.00000*constants[91])))/algebraic[64]
    algebraic[68] = algebraic[67]*algebraic[62]*(algebraic[66]+algebraic[65])+algebraic[63]*algebraic[65]*(constants[104]+algebraic[67])
    algebraic[73] = algebraic[66]*algebraic[62]*(algebraic[71]+algebraic[70])+algebraic[65]*algebraic[71]*(algebraic[62]+algebraic[63])
    algebraic[74] = algebraic[71]*constants[104]*(algebraic[66]+algebraic[65])+algebraic[66]*algebraic[70]*(constants[104]+algebraic[67])
    algebraic[75] = ((1.00000-constants[37])*constants[24]*(algebraic[68]*algebraic[70]-algebraic[72]*algebraic[65]))/(algebraic[72]+algebraic[68]+algebraic[73]+algebraic[74])
    algebraic[76] = constants[91]*log((constants[11]+0.120000*constants[13])/(algebraic[18]+0.120000*constants[12]))
    algebraic[77] = constants[38]*(power(states[4], 3.00000))*states[5]*(algebraic[9]-algebraic[76])
    algebraic[78] = constants[39]*(power(states[4], 3.00000))*(algebraic[9]-algebraic[76])
    algebraic[79] = algebraic[77]+algebraic[78]
    algebraic[49] = states[3]*constants[103]*(algebraic[9]-algebraic[36])*(1.00000-constants[19])
    algebraic[82] = ((1.85000e-05*constants[41]*(algebraic[9]-0.00000))/(constants[91]*(1.00000-exp((-1.00000*(algebraic[9]-0.00000))/constants[91]))))*(algebraic[18]-constants[11]*exp((-1.00000*(algebraic[9]-0.00000))/constants[91]))*states[6]*states[7]*states[8]
    rates[2] = ((1.00000-constants[15])*-1.00000*(algebraic[79]+algebraic[49]+algebraic[82]+3.00000*algebraic[61]+3.00000*algebraic[75]))/(1.00000*(constants[112]+constants[110])*constants[2])
    algebraic[90] = constants[71]*states[1]*(1.00000-states[20])-constants[76]*states[20]
    rates[20] = algebraic[90]
    algebraic[84] = ((2.00000*constants[48]*algebraic[9])/(constants[91]*(1.00000-exp((-1.00000*algebraic[9]*2.00000)/constants[91]))))*(states[1]-constants[14]*exp((-2.00000*algebraic[9])/constants[91]))*states[9]*states[10]
    algebraic[80] = ((2.00000*constants[41]*(algebraic[9]-0.00000))/(constants[91]*(1.00000-exp((-1.00000*(algebraic[9]-0.00000)*2.00000)/constants[91]))))*(states[1]-constants[14]*exp((-2.00000*(algebraic[9]-0.00000))/constants[91]))*states[6]*states[7]*states[8]
    algebraic[86] = constants[50]*states[12]*(states[15]-states[1])
    algebraic[88] = (states[1]-states[17])/constants[59]
    rates[1] = (algebraic[86]*constants[111])/constants[110]-(((algebraic[80]+algebraic[84])-2.00000*algebraic[75])/(2.00000*constants[2]*constants[110])+algebraic[88]+constants[66]*algebraic[90])
    algebraic[93] = constants[68]*states[17]*(1.00000-states[21])-constants[73]*states[21]
    rates[21] = algebraic[93]
    algebraic[91] = constants[98]/(1.00000+exp((-states[17]+constants[62])/constants[63]))
    algebraic[94] = (states[16]-states[15])/constants[60]
    rates[16] = algebraic[91]-(algebraic[94]*constants[111])/constants[113]
    algebraic[96] = constants[70]*states[17]*(1.00000-(states[22]+states[18]))-constants[74]*states[22]
    rates[22] = algebraic[96]
    algebraic[97] = constants[72]*states[15]*(1.00000-states[23])-constants[77]*states[23]
    rates[23] = algebraic[97]
    rates[15] = algebraic[94]-(algebraic[86]+constants[67]*algebraic[97])
    algebraic[99] = constants[71]*states[17]*(1.00000-states[19])-constants[76]*states[19]
    rates[19] = algebraic[99]
    rates[17] = (1.00000*(algebraic[88]*constants[110]-algebraic[91]*constants[113]))/constants[112]-(constants[66]*algebraic[99]+constants[64]*algebraic[93]+constants[65]*algebraic[96])
    algebraic[55] = states[3]*constants[101]*(algebraic[9]-constants[96])*(1.00000-constants[19])
    algebraic[59] = algebraic[49]+algebraic[55]
    algebraic[89] = constants[87]*(algebraic[9]-constants[96])*(0.900000*states[29]+0.100000*states[28])*states[30]
    algebraic[92] = constants[91]*log((constants[13]+0.120000*constants[11])/(constants[12]+0.120000*algebraic[18]))
    algebraic[95] = constants[94]*(algebraic[9]-algebraic[92])*(power(states[31], 2.00000))
    algebraic[87] = constants[86]*(algebraic[9]-constants[96])*states[26]*states[27]
    algebraic[81] = ((0.000365000*constants[41]*(algebraic[9]-0.00000))/(constants[91]*(1.00000-exp((-1.00000*(algebraic[9]-0.00000))/constants[91]))))*(constants[12]-constants[13]*exp((-1.00000*(algebraic[9]-0.00000))/constants[91]))*states[6]*states[7]*states[8]
    algebraic[83] = (algebraic[80]+algebraic[81]+algebraic[82])*(1.00000-constants[106])*1.00000*constants[105]
    algebraic[98] = custom_piecewise([greater(constants[9] , 0.00000), constants[90]*constants[89]*(algebraic[9]-constants[96])*(1.00000+exp((algebraic[9]+20.0000)/20.0000))*states[32] , True, 0.00000])
    algebraic[85] = constants[85]*states[24]*states[25]*(algebraic[9]-constants[96])
    algebraic[100] = algebraic[59]+algebraic[89]+algebraic[95]+algebraic[87]+algebraic[61]+algebraic[75]+algebraic[79]+algebraic[83]+algebraic[84]+algebraic[98]+algebraic[85]
    rates[0] = -algebraic[100]/constants[3]
    return(rates)

def computeAlgebraic(constants, states, voi):
    algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
    states = array(states)
    voi = array(voi)
    algebraic[6] = constants[69]*constants[78]*(1.00000-(states[22]+states[18]))-constants[75]*states[18]
    algebraic[1] = constants[47]/(constants[47]+states[1])
    algebraic[7] = (0.00100000*algebraic[1])/constants[46]
    algebraic[2] = constants[51]-(constants[51]-constants[52])/(1.00000+power(constants[53]/states[15], constants[54]))
    algebraic[8] = constants[55]/algebraic[2]
    algebraic[17] = constants[56]*algebraic[2]
    algebraic[5] = custom_piecewise([greater(voi , constants[5]) & less(voi , constants[5]+constants[6]), constants[7] , True, constants[8]])
    algebraic[9] = custom_piecewise([greater_equal(constants[4] , 1.00000), algebraic[5] , True, states[0]])
    algebraic[10] = 1.00000/((0.360000*(((algebraic[9]+148.800)-constants[95])-constants[99]))/(exp(0.0660000*(((algebraic[9]+148.800)-constants[95])-constants[99]))-1.00000)+(0.100000*(((algebraic[9]+87.3000)-constants[95])-constants[99]))/(1.00000-exp(-0.200000*(((algebraic[9]+87.3000)-constants[95])-constants[99]))))-0.0540000
    algebraic[29] = custom_piecewise([less(algebraic[9] , -(((80.0000-constants[95])-constants[99])-constants[20])), 0.0132900+0.999210/(1.00000+exp(((((algebraic[9]+97.1340)-constants[95])-constants[99])-constants[20])/8.17520)) , True, 0.000250100*exp(-(((algebraic[9]-constants[95])-constants[99])-constants[20])/12.8610)])
    algebraic[14] = 1.00000/(1.00000+exp((algebraic[9]+37.4000+constants[44])/(5.30000+constants[45])))
    algebraic[33] = 0.00100000*(44.3000+230.000*exp(-(power((algebraic[9]+36.0000)/10.0000, 2.00000))))
    algebraic[15] = 1.00000/(1.00000+exp(-(algebraic[9]+38.3000)/5.50000))
    algebraic[34] = 0.00100000/(1.06800*exp((algebraic[9]+38.3000)/30.0000)+1.06800*exp(-(algebraic[9]+38.3000)/30.0000))
    algebraic[16] = 1.00000/(1.00000+exp((algebraic[9]+58.7000)/3.80000))
    algebraic[35] = 1.00000/(16.6700*exp(-(algebraic[9]+75.0000)/83.3000)+16.6700*exp((algebraic[9]+75.0000)/15.3800))+constants[49]
    algebraic[37] = 0.00900000/(1.00000+exp((algebraic[9]+5.00000)/12.0000))+0.000500000
    algebraic[19] = 1.00000/(1.00000+exp((algebraic[9]+6.00000)/-8.60000))
    algebraic[38] = 0.590000/(1.00000+exp((algebraic[9]+60.0000)/10.0000))+3.05000
    algebraic[20] = 1.00000/(1.00000+exp((algebraic[9]+7.50000)/10.0000))
    algebraic[21] = 1.00000/(1.00000+exp((algebraic[9]+49.0000)/13.0000))
    algebraic[39] = 0.00100000*0.600000*(65.1700/(0.570000*exp(-0.0800000*(algebraic[9]+44.0000))+0.0650000*exp(0.100000*(algebraic[9]+45.9300)))+10.1000)
    algebraic[22] = 1.00000/(1.00000+exp(-(algebraic[9]-19.3000)/15.0000))
    algebraic[40] = 0.00100000*0.660000*1.40000*(15.5900/(1.03700*exp(0.0900000*(algebraic[9]+30.6100))+0.369000*exp(-0.120000*(algebraic[9]+23.8400)))+2.98000)
    algebraic[23] = 1.00000/(1.00000+exp(-(algebraic[9]+10.0144)/7.66070))
    algebraic[41] = 0.846554/(4.20000*exp(algebraic[9]/17.0000)+0.150000*exp(-algebraic[9]/21.6000))
    algebraic[42] = 1.00000/(30.0000*exp(algebraic[9]/10.0000)+exp(-algebraic[9]/12.0000))
    algebraic[43] = 1.00000/(1.00000+exp((algebraic[9]+28.6000)/17.1000))
    algebraic[26] = 1.00000/(100.000*exp(-algebraic[9]/54.6450)+656.000*exp(algebraic[9]/106.157))
    algebraic[28] = 10.0000*exp(0.0133000*(algebraic[9]+40.0000))
    algebraic[45] = constants[115]/(constants[115]+algebraic[28])
    algebraic[51] = 1.00000/(constants[115]+algebraic[28])
    algebraic[12] = 1.00000/(1.00000+exp((algebraic[9]+69.8040)/4.45650))
    algebraic[31] = 20.0000*exp(-0.125000*(algebraic[9]+75.0000))
    algebraic[47] = 2000.00/(320.000*exp(-0.100000*(algebraic[9]+75.0000))+1.00000)
    algebraic[53] = 1.00000/(algebraic[31]+algebraic[47])
    algebraic[27] = power(1.00000/(1.00000+exp(-((algebraic[9]+0.638300)-constants[114])/10.7071)), 1.0/2)
    algebraic[44] = 28.0000/(1.00000+exp(-((algebraic[9]-40.0000)-constants[114])/3.00000))
    algebraic[50] = 1.00000*exp(-((algebraic[9]-constants[114])-5.00000)/25.0000)
    algebraic[56] = 1.00000/(algebraic[44]+algebraic[50])
    algebraic[11] = 1.00000/(1.00000+exp(-(algebraic[9]+42.0504)/8.31060))
    algebraic[30] = algebraic[9]+41.0000
    algebraic[46] = custom_piecewise([less(fabs(algebraic[30]) , constants[40]), 2000.00 , True, (200.000*algebraic[30])/(1.00000-exp(-0.100000*algebraic[30]))])
    algebraic[52] = 8000.00*exp(-0.0560000*(algebraic[9]+66.0000))
    algebraic[57] = 1.00000/(algebraic[46]+algebraic[52])
    algebraic[13] = 1.00000/(1.00000+exp(-((algebraic[9]-constants[43])-constants[107])/(constants[42]*(1.00000+constants[108]/100.000))))
    algebraic[32] = custom_piecewise([equal(algebraic[9] , -41.8000), -41.8000 , equal(algebraic[9] , 0.00000), 0.00000 , equal(algebraic[9] , -6.80000), -6.80001 , True, algebraic[9]])
    algebraic[48] = (-0.0283900*(algebraic[32]+41.8000))/(exp(-(algebraic[32]+41.8000)/2.50000)-1.00000)-(0.0849000*(algebraic[32]+6.80000))/(exp(-(algebraic[32]+6.80000)/4.80000)-1.00000)
    algebraic[54] = custom_piecewise([equal(algebraic[9] , -1.80000), -1.80001 , True, algebraic[9]])
    algebraic[58] = (0.0114300*(algebraic[54]+1.80000))/(exp((algebraic[54]+1.80000)/2.50000)-1.00000)
    algebraic[60] = 0.00100000/(algebraic[48]+algebraic[58])
    algebraic[18] = states[2]
    algebraic[36] = constants[91]*log(constants[11]/algebraic[18])
    algebraic[61] = constants[102]*constants[23]*(power(1.00000+power(constants[21]/constants[13], 1.20000), -1.00000))*(power(1.00000+power(constants[22]/algebraic[18], 1.30000), -1.00000))*(power(1.00000+exp(-((algebraic[9]-algebraic[36])+110.000)/20.0000), -1.00000))
    algebraic[63] = exp((-constants[26]*algebraic[9])/(2.00000*constants[91]))
    algebraic[69] = 1.00000+(constants[14]/constants[36])*(1.00000+exp((constants[27]*algebraic[9])/constants[91]))+(constants[11]/constants[34])*(1.00000+(constants[11]/constants[35])*(1.00000+constants[11]/constants[33]))
    algebraic[71] = ((((constants[11]/constants[34])*constants[11])/constants[35])*(1.00000+constants[11]/constants[33])*exp((-constants[26]*algebraic[9])/(2.00000*constants[91])))/algebraic[69]
    algebraic[70] = ((constants[14]/constants[36])*exp((constants[27]*algebraic[9])/constants[91]))/algebraic[69]
    algebraic[67] = exp((constants[26]*algebraic[9])/(2.00000*constants[91]))
    algebraic[62] = algebraic[18]/(constants[28]+algebraic[18])
    algebraic[72] = algebraic[63]*constants[104]*(algebraic[71]+algebraic[70])+algebraic[70]*algebraic[67]*(algebraic[62]+algebraic[63])
    algebraic[64] = 1.00000+(states[1]/constants[29])*(1.00000+exp((-constants[25]*algebraic[9])/constants[91])+algebraic[18]/constants[32])+(algebraic[18]/constants[30])*(1.00000+(algebraic[18]/constants[31])*(1.00000+algebraic[18]/constants[28]))
    algebraic[65] = ((states[1]/constants[29])*exp((-constants[25]*algebraic[9])/constants[91]))/algebraic[64]
    algebraic[66] = ((((algebraic[18]/constants[30])*algebraic[18])/constants[31])*(1.00000+algebraic[18]/constants[28])*exp((constants[26]*algebraic[9])/(2.00000*constants[91])))/algebraic[64]
    algebraic[68] = algebraic[67]*algebraic[62]*(algebraic[66]+algebraic[65])+algebraic[63]*algebraic[65]*(constants[104]+algebraic[67])
    algebraic[73] = algebraic[66]*algebraic[62]*(algebraic[71]+algebraic[70])+algebraic[65]*algebraic[71]*(algebraic[62]+algebraic[63])
    algebraic[74] = algebraic[71]*constants[104]*(algebraic[66]+algebraic[65])+algebraic[66]*algebraic[70]*(constants[104]+algebraic[67])
    algebraic[75] = ((1.00000-constants[37])*constants[24]*(algebraic[68]*algebraic[70]-algebraic[72]*algebraic[65]))/(algebraic[72]+algebraic[68]+algebraic[73]+algebraic[74])
    algebraic[76] = constants[91]*log((constants[11]+0.120000*constants[13])/(algebraic[18]+0.120000*constants[12]))
    algebraic[77] = constants[38]*(power(states[4], 3.00000))*states[5]*(algebraic[9]-algebraic[76])
    algebraic[78] = constants[39]*(power(states[4], 3.00000))*(algebraic[9]-algebraic[76])
    algebraic[79] = algebraic[77]+algebraic[78]
    algebraic[49] = states[3]*constants[103]*(algebraic[9]-algebraic[36])*(1.00000-constants[19])
    algebraic[82] = ((1.85000e-05*constants[41]*(algebraic[9]-0.00000))/(constants[91]*(1.00000-exp((-1.00000*(algebraic[9]-0.00000))/constants[91]))))*(algebraic[18]-constants[11]*exp((-1.00000*(algebraic[9]-0.00000))/constants[91]))*states[6]*states[7]*states[8]
    algebraic[90] = constants[71]*states[1]*(1.00000-states[20])-constants[76]*states[20]
    algebraic[84] = ((2.00000*constants[48]*algebraic[9])/(constants[91]*(1.00000-exp((-1.00000*algebraic[9]*2.00000)/constants[91]))))*(states[1]-constants[14]*exp((-2.00000*algebraic[9])/constants[91]))*states[9]*states[10]
    algebraic[80] = ((2.00000*constants[41]*(algebraic[9]-0.00000))/(constants[91]*(1.00000-exp((-1.00000*(algebraic[9]-0.00000)*2.00000)/constants[91]))))*(states[1]-constants[14]*exp((-2.00000*(algebraic[9]-0.00000))/constants[91]))*states[6]*states[7]*states[8]
    algebraic[86] = constants[50]*states[12]*(states[15]-states[1])
    algebraic[88] = (states[1]-states[17])/constants[59]
    algebraic[93] = constants[68]*states[17]*(1.00000-states[21])-constants[73]*states[21]
    algebraic[91] = constants[98]/(1.00000+exp((-states[17]+constants[62])/constants[63]))
    algebraic[94] = (states[16]-states[15])/constants[60]
    algebraic[96] = constants[70]*states[17]*(1.00000-(states[22]+states[18]))-constants[74]*states[22]
    algebraic[97] = constants[72]*states[15]*(1.00000-states[23])-constants[77]*states[23]
    algebraic[99] = constants[71]*states[17]*(1.00000-states[19])-constants[76]*states[19]
    algebraic[55] = states[3]*constants[101]*(algebraic[9]-constants[96])*(1.00000-constants[19])
    algebraic[59] = algebraic[49]+algebraic[55]
    algebraic[89] = constants[87]*(algebraic[9]-constants[96])*(0.900000*states[29]+0.100000*states[28])*states[30]
    algebraic[92] = constants[91]*log((constants[13]+0.120000*constants[11])/(constants[12]+0.120000*algebraic[18]))
    algebraic[95] = constants[94]*(algebraic[9]-algebraic[92])*(power(states[31], 2.00000))
    algebraic[87] = constants[86]*(algebraic[9]-constants[96])*states[26]*states[27]
    algebraic[81] = ((0.000365000*constants[41]*(algebraic[9]-0.00000))/(constants[91]*(1.00000-exp((-1.00000*(algebraic[9]-0.00000))/constants[91]))))*(constants[12]-constants[13]*exp((-1.00000*(algebraic[9]-0.00000))/constants[91]))*states[6]*states[7]*states[8]
    algebraic[83] = (algebraic[80]+algebraic[81]+algebraic[82])*(1.00000-constants[106])*1.00000*constants[105]
    algebraic[98] = custom_piecewise([greater(constants[9] , 0.00000), constants[90]*constants[89]*(algebraic[9]-constants[96])*(1.00000+exp((algebraic[9]+20.0000)/20.0000))*states[32] , True, 0.00000])
    algebraic[85] = constants[85]*states[24]*states[25]*(algebraic[9]-constants[96])
    algebraic[100] = algebraic[59]+algebraic[89]+algebraic[95]+algebraic[87]+algebraic[61]+algebraic[75]+algebraic[79]+algebraic[83]+algebraic[84]+algebraic[98]+algebraic[85]
    algebraic[0] = 0.500000*constants[91]*log(constants[14]/states[1])
    algebraic[3] = states[15]-states[1]
    algebraic[4] = states[11]+states[12]+states[13]+states[14]
    algebraic[24] = (1.00000/(1.00000+exp(-(algebraic[9]+23.2000)/6.60000)))/(0.846554/(37.2000*exp(algebraic[9]/11.9000)+0.960000*exp(-algebraic[9]/18.5000)))
    algebraic[25] = 4.00000*((37.2000*exp(algebraic[9]/15.9000)+0.960000*exp(-algebraic[9]/22.5000))/0.846554-(1.00000/(1.00000+exp(-(algebraic[9]+23.2000)/10.6000)))/(0.846554/(37.2000*exp(algebraic[9]/15.9000)+0.960000*exp(-algebraic[9]/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)