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 = 92
sizeStates = 32
sizeConstants = 80
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_states[0] = "V in component membrane (millivolt)"
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] = "Cm in component membrane (microF)"
legend_algebraic[11] = "I_st in component membrane (microA_per_microF)"
legend_algebraic[30] = "i_Na in component fast_sodium_current (microA_per_microF)"
legend_algebraic[53] = "i_Ca_L in component L_type_Ca_channel (microA_per_microF)"
legend_algebraic[76] = "i_Ca_T in component T_type_Ca_channel (microA_per_microF)"
legend_algebraic[56] = "i_Kr in component rapid_delayed_rectifier_potassium_current (microA_per_microF)"
legend_algebraic[59] = "i_Ks in component slow_delayed_rectifier_potassium_current (microA_per_microF)"
legend_algebraic[69] = "i_K_Na in component sodium_activated_potassium_current (microA_per_microF)"
legend_algebraic[70] = "i_K_ATP in component ATP_sensitive_potassium_current (microA_per_microF)"
legend_algebraic[72] = "i_to in component transient_outward_current (microA_per_microF)"
legend_algebraic[85] = "i_NaCa in component Na_Ca_exchanger (microA_per_microF)"
legend_algebraic[64] = "i_K1 in component time_independent_potassium_current (microA_per_microF)"
legend_algebraic[66] = "i_Kp in component plateau_potassium_current (microA_per_microF)"
legend_algebraic[73] = "i_p_Ca in component sarcolemmal_calcium_pump (microA_per_microF)"
legend_algebraic[74] = "i_Na_b in component sodium_background_current (microA_per_microF)"
legend_algebraic[77] = "i_Ca_b in component calcium_background_current (microA_per_microF)"
legend_algebraic[79] = "i_NaK in component sodium_potassium_pump (microA_per_microF)"
legend_algebraic[84] = "i_ns_Ca in component non_specific_calcium_activated_current (microA_per_microF)"
legend_algebraic[86] = "dVdt in component membrane (dimensionless)"
legend_constants[4] = "stim_start in component membrane (second)"
legend_constants[5] = "stim_end in component membrane (second)"
legend_constants[6] = "stim_period in component membrane (dimensionless)"
legend_constants[7] = "stim_duration in component membrane (second)"
legend_constants[8] = "stim_amplitude in component membrane (microA_per_microF)"
legend_algebraic[23] = "E_Na in component fast_sodium_current (millivolt)"
legend_constants[9] = "g_Na in component fast_sodium_current (milliS_per_microF)"
legend_constants[10] = "Nao in component ionic_concentrations (millimolar)"
legend_states[1] = "Nai in component ionic_concentrations (millimolar)"
legend_states[2] = "P_O_Na in component Na_channel_states (dimensionless)"
legend_states[3] = "P_C1 in component Na_channel_states (dimensionless)"
legend_states[4] = "P_C2 in component Na_channel_states (dimensionless)"
legend_states[5] = "P_C3 in component Na_channel_states (dimensionless)"
legend_states[6] = "P_IF in component Na_channel_states (dimensionless)"
legend_states[7] = "P_IS in component Na_channel_states (dimensionless)"
legend_algebraic[0] = "alpha_11 in component Na_channel_states (per_second)"
legend_algebraic[31] = "beta_11 in component Na_channel_states (per_second)"
legend_algebraic[12] = "alpha_12 in component Na_channel_states (per_second)"
legend_algebraic[38] = "beta_12 in component Na_channel_states (per_second)"
legend_algebraic[24] = "alpha_13 in component Na_channel_states (per_second)"
legend_algebraic[42] = "beta_13 in component Na_channel_states (per_second)"
legend_algebraic[44] = "alpha_2 in component Na_channel_states (per_second)"
legend_algebraic[50] = "beta_2 in component Na_channel_states (per_second)"
legend_algebraic[46] = "alpha_3 in component Na_channel_states (per_second)"
legend_algebraic[48] = "beta_3 in component Na_channel_states (per_second)"
legend_algebraic[52] = "alpha_4 in component Na_channel_states (per_second)"
legend_algebraic[54] = "beta_4 in component Na_channel_states (per_second)"
legend_algebraic[47] = "i_CaCa in component L_type_Ca_channel (microA_per_microF)"
legend_algebraic[51] = "i_CaK in component L_type_Ca_channel (microA_per_microF)"
legend_algebraic[49] = "i_CaNa in component L_type_Ca_channel (microA_per_microF)"
legend_constants[11] = "gamma_Nai in component L_type_Ca_channel (dimensionless)"
legend_constants[12] = "gamma_Nao in component L_type_Ca_channel (dimensionless)"
legend_constants[13] = "gamma_Ki in component L_type_Ca_channel (dimensionless)"
legend_constants[14] = "gamma_Ko in component L_type_Ca_channel (dimensionless)"
legend_algebraic[37] = "I_CaCa in component L_type_Ca_channel (microA_per_microF)"
legend_algebraic[43] = "I_CaK in component L_type_Ca_channel (microA_per_microF)"
legend_algebraic[41] = "I_CaNa in component L_type_Ca_channel (microA_per_microF)"
legend_constants[15] = "P_Ca in component L_type_Ca_channel (cm_per_second)"
legend_constants[16] = "P_Na in component L_type_Ca_channel (cm_per_second)"
legend_constants[17] = "P_K in component L_type_Ca_channel (cm_per_second)"
legend_constants[18] = "gamma_Cai in component L_type_Ca_channel (dimensionless)"
legend_constants[19] = "gamma_Cao in component L_type_Ca_channel (dimensionless)"
legend_states[8] = "Cai in component calcium_dynamics (millimolar)"
legend_constants[20] = "Cao in component calcium_dynamics (millimolar)"
legend_constants[21] = "Ko in component ionic_concentrations (millimolar)"
legend_states[9] = "Ki in component ionic_concentrations (millimolar)"
legend_states[10] = "d in component L_type_Ca_channel_d_gate (dimensionless)"
legend_states[11] = "f in component L_type_Ca_channel_f_gate (dimensionless)"
legend_algebraic[45] = "f_Ca in component L_type_Ca_channel_f_Ca_gate (dimensionless)"
legend_algebraic[32] = "alpha_d in component L_type_Ca_channel_d_gate (per_second)"
legend_algebraic[39] = "beta_d in component L_type_Ca_channel_d_gate (per_second)"
legend_algebraic[13] = "d_infinity in component L_type_Ca_channel_d_gate (dimensionless)"
legend_algebraic[25] = "tau_d in component L_type_Ca_channel_d_gate (second)"
legend_algebraic[1] = "E0_d in component L_type_Ca_channel_d_gate (millivolt)"
legend_algebraic[26] = "alpha_f in component L_type_Ca_channel_f_gate (per_second)"
legend_algebraic[33] = "beta_f in component L_type_Ca_channel_f_gate (per_second)"
legend_algebraic[2] = "f_infinity in component L_type_Ca_channel_f_gate (dimensionless)"
legend_algebraic[14] = "tau_f in component L_type_Ca_channel_f_gate (second)"
legend_constants[22] = "Km_Ca in component L_type_Ca_channel_f_Ca_gate (millimolar)"
legend_constants[23] = "g_CaT in component T_type_Ca_channel (milliS_per_microF)"
legend_algebraic[75] = "E_Ca in component calcium_background_current (millivolt)"
legend_states[12] = "b in component T_type_Ca_channel_b_gate (dimensionless)"
legend_states[13] = "g in component T_type_Ca_channel_g_gate (dimensionless)"
legend_algebraic[3] = "b_inf in component T_type_Ca_channel_b_gate (dimensionless)"
legend_algebraic[15] = "tau_b in component T_type_Ca_channel_b_gate (second)"
legend_algebraic[4] = "g_inf in component T_type_Ca_channel_g_gate (dimensionless)"
legend_algebraic[16] = "tau_g in component T_type_Ca_channel_g_gate (second)"
legend_constants[66] = "g_Kr in component rapid_delayed_rectifier_potassium_current (milliS_per_microF)"
legend_algebraic[55] = "E_Kr in component rapid_delayed_rectifier_potassium_current (millivolt)"
legend_states[14] = "P_O in component Kr_channel_states (dimensionless)"
legend_states[15] = "P_C1 in component Kr_channel_states (dimensionless)"
legend_states[16] = "P_C2 in component Kr_channel_states (dimensionless)"
legend_states[17] = "P_C3 in component Kr_channel_states (dimensionless)"
legend_states[18] = "P_I in component Kr_channel_states (dimensionless)"
legend_algebraic[5] = "alpha in component Kr_channel_states (per_second)"
legend_algebraic[17] = "beta in component Kr_channel_states (per_second)"
legend_constants[24] = "alpha_in in component Kr_channel_states (per_second)"
legend_constants[25] = "beta_in in component Kr_channel_states (per_second)"
legend_algebraic[6] = "alpha_alpha in component Kr_channel_states (per_second)"
legend_algebraic[18] = "beta_beta in component Kr_channel_states (per_second)"
legend_algebraic[27] = "alpha_i in component Kr_channel_states (per_second)"
legend_algebraic[34] = "beta_i in component Kr_channel_states (per_second)"
legend_algebraic[40] = "mu in component Kr_channel_states (per_second)"
legend_algebraic[58] = "g_Ks in component slow_delayed_rectifier_potassium_current (milliS_per_microF)"
legend_algebraic[57] = "E_Ks in component slow_delayed_rectifier_potassium_current (millivolt)"
legend_constants[26] = "PNaK in component slow_delayed_rectifier_potassium_current (dimensionless)"
legend_states[19] = "xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)"
legend_states[20] = "xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)"
legend_algebraic[7] = "xs1_infinity in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)"
legend_algebraic[19] = "tau_xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (second)"
legend_algebraic[8] = "xs2_infinity in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)"
legend_algebraic[20] = "tau_xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (second)"
legend_algebraic[60] = "E_K in component time_independent_potassium_current (millivolt)"
legend_constants[67] = "g_K1 in component time_independent_potassium_current (milliS_per_cm2)"
legend_algebraic[63] = "K1_infinity in component time_independent_potassium_current_K1_gate (dimensionless)"
legend_algebraic[61] = "alpha_K1 in component time_independent_potassium_current_K1_gate (per_second)"
legend_algebraic[62] = "beta_K1 in component time_independent_potassium_current_K1_gate (per_second)"
legend_constants[27] = "g_Kp in component plateau_potassium_current (milliS_per_microF)"
legend_algebraic[65] = "Kp in component plateau_potassium_current (dimensionless)"
legend_constants[68] = "g_K_Na in component sodium_activated_potassium_current (milliS_per_microF)"
legend_constants[28] = "nKNa in component sodium_activated_potassium_current (dimensionless)"
legend_algebraic[67] = "pona in component sodium_activated_potassium_current (dimensionless)"
legend_algebraic[68] = "pov in component sodium_activated_potassium_current (dimensionless)"
legend_constants[29] = "kdKNa in component sodium_activated_potassium_current (millimolar)"
legend_constants[69] = "g_K_ATP in component ATP_sensitive_potassium_current (milliS_per_microF)"
legend_constants[30] = "i_K_ATP_on in component ATP_sensitive_potassium_current (dimensionless)"
legend_constants[31] = "nATP in component ATP_sensitive_potassium_current (dimensionless)"
legend_constants[32] = "nicholsarea in component ATP_sensitive_potassium_current (dimensionless)"
legend_constants[33] = "ATPi in component ATP_sensitive_potassium_current (millimolar)"
legend_constants[34] = "hATP in component ATP_sensitive_potassium_current (dimensionless)"
legend_constants[35] = "kATP in component ATP_sensitive_potassium_current (millimolar)"
legend_constants[75] = "pATP in component ATP_sensitive_potassium_current (dimensionless)"
legend_constants[77] = "GKbaraATP in component ATP_sensitive_potassium_current (milliS_per_microF)"
legend_constants[70] = "g_to in component transient_outward_current (milliS_per_microF)"
legend_algebraic[71] = "rvdv in component transient_outward_current (dimensionless)"
legend_states[21] = "zdv in component transient_outward_current_zdv_gate (dimensionless)"
legend_states[22] = "ydv in component transient_outward_current_ydv_gate (dimensionless)"
legend_algebraic[9] = "alpha_zdv in component transient_outward_current_zdv_gate (per_second)"
legend_algebraic[21] = "beta_zdv in component transient_outward_current_zdv_gate (per_second)"
legend_algebraic[28] = "tau_zdv in component transient_outward_current_zdv_gate (second)"
legend_algebraic[35] = "zdv_ss in component transient_outward_current_zdv_gate (dimensionless)"
legend_algebraic[10] = "alpha_ydv in component transient_outward_current_ydv_gate (per_second)"
legend_algebraic[22] = "beta_ydv in component transient_outward_current_ydv_gate (per_second)"
legend_algebraic[29] = "tau_ydv in component transient_outward_current_ydv_gate (second)"
legend_algebraic[36] = "ydv_ss in component transient_outward_current_ydv_gate (dimensionless)"
legend_constants[36] = "K_mpCa in component sarcolemmal_calcium_pump (millimolar)"
legend_constants[37] = "I_pCa in component sarcolemmal_calcium_pump (microA_per_microF)"
legend_constants[38] = "g_Nab in component sodium_background_current (milliS_per_microF)"
legend_constants[39] = "g_Cab in component calcium_background_current (milliS_per_microF)"
legend_constants[40] = "I_NaK in component sodium_potassium_pump (microA_per_microF)"
legend_algebraic[78] = "f_NaK in component sodium_potassium_pump (dimensionless)"
legend_constants[41] = "K_mNai in component sodium_potassium_pump (millimolar)"
legend_constants[42] = "K_mKo in component sodium_potassium_pump (millimolar)"
legend_constants[71] = "sigma in component sodium_potassium_pump (dimensionless)"
legend_algebraic[82] = "i_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)"
legend_algebraic[83] = "i_ns_K in component non_specific_calcium_activated_current (microA_per_microF)"
legend_constants[72] = "P_ns_Ca in component non_specific_calcium_activated_current (cm_per_second)"
legend_algebraic[80] = "I_ns_Na in component non_specific_calcium_activated_current (microA_per_microF)"
legend_algebraic[81] = "I_ns_K in component non_specific_calcium_activated_current (microA_per_microF)"
legend_constants[43] = "K_m_ns_Ca in component non_specific_calcium_activated_current (millimolar)"
legend_constants[44] = "c1 in component Na_Ca_exchanger (microA_per_microF)"
legend_constants[45] = "c2 in component Na_Ca_exchanger (millimolar)"
legend_constants[46] = "gamma in component Na_Ca_exchanger (dimensionless)"
legend_algebraic[88] = "i_rel in component calcium_dynamics (millimolar_per_second)"
legend_algebraic[89] = "i_up in component calcium_dynamics (millimolar_per_second)"
legend_algebraic[90] = "i_leak in component calcium_dynamics (millimolar_per_second)"
legend_algebraic[91] = "i_tr in component calcium_dynamics (millimolar_per_second)"
legend_algebraic[87] = "G_rel in component calcium_dynamics (per_second)"
legend_constants[47] = "G_rel_max in component calcium_dynamics (per_second)"
legend_constants[48] = "G_rel_overload in component calcium_dynamics (per_second)"
legend_constants[49] = "tau_tr in component calcium_dynamics (second)"
legend_constants[50] = "K_mrel in component calcium_dynamics (millimolar)"
legend_constants[51] = "delta_Ca_ith in component calcium_dynamics (millimolar)"
legend_constants[52] = "CSQN_max in component calcium_dynamics (millimolar)"
legend_constants[53] = "K_mCSQN in component calcium_dynamics (millimolar)"
legend_constants[54] = "K_mup in component calcium_dynamics (millimolar)"
legend_constants[73] = "K_leak in component calcium_dynamics (per_second)"
legend_constants[55] = "I_up in component calcium_dynamics (millimolar_per_second)"
legend_constants[56] = "Ca_NSR_max in component calcium_dynamics (millimolar)"
legend_states[23] = "Ca_JSR in component calcium_dynamics (millimolar)"
legend_states[24] = "Ca_NSR in component calcium_dynamics (millimolar)"
legend_constants[76] = "V_myo in component ionic_concentrations (micro_litre)"
legend_constants[57] = "A_cap in component ionic_concentrations (mm2)"
legend_constants[78] = "V_JSR in component calcium_dynamics (micro_litre)"
legend_constants[79] = "V_NSR in component calcium_dynamics (micro_litre)"
legend_constants[58] = "K_mTn in component calcium_dynamics (millimolar)"
legend_constants[59] = "K_mCMDN in component calcium_dynamics (millimolar)"
legend_constants[60] = "Tn_max in component calcium_dynamics (millimolar)"
legend_constants[61] = "CMDN_max in component calcium_dynamics (millimolar)"
legend_states[25] = "APtrack in component calcium_dynamics (dimensionless)"
legend_states[26] = "APtrack2 in component calcium_dynamics (dimensionless)"
legend_states[27] = "APtrack3 in component calcium_dynamics (dimensionless)"
legend_states[28] = "Cainfluxtrack in component calcium_dynamics (dimensionless)"
legend_states[29] = "OVRLDtrack in component calcium_dynamics (dimensionless)"
legend_states[30] = "OVRLDtrack2 in component calcium_dynamics (dimensionless)"
legend_states[31] = "OVRLDtrack3 in component calcium_dynamics (dimensionless)"
legend_constants[62] = "CSQNthresh in component calcium_dynamics (millimolar)"
legend_constants[63] = "Logicthresh in component calcium_dynamics (dimensionless)"
legend_constants[64] = "preplength in component ionic_concentrations (mm)"
legend_constants[65] = "radius in component ionic_concentrations (mm)"
legend_constants[74] = "volume in component ionic_concentrations (micro_litre)"
legend_rates[0] = "d/dt V in component membrane (millivolt)"
legend_rates[5] = "d/dt P_C3 in component Na_channel_states (dimensionless)"
legend_rates[4] = "d/dt P_C2 in component Na_channel_states (dimensionless)"
legend_rates[3] = "d/dt P_C1 in component Na_channel_states (dimensionless)"
legend_rates[2] = "d/dt P_O_Na in component Na_channel_states (dimensionless)"
legend_rates[6] = "d/dt P_IF in component Na_channel_states (dimensionless)"
legend_rates[7] = "d/dt P_IS in component Na_channel_states (dimensionless)"
legend_rates[10] = "d/dt d in component L_type_Ca_channel_d_gate (dimensionless)"
legend_rates[11] = "d/dt f in component L_type_Ca_channel_f_gate (dimensionless)"
legend_rates[12] = "d/dt b in component T_type_Ca_channel_b_gate (dimensionless)"
legend_rates[13] = "d/dt g in component T_type_Ca_channel_g_gate (dimensionless)"
legend_rates[17] = "d/dt P_C3 in component Kr_channel_states (dimensionless)"
legend_rates[16] = "d/dt P_C2 in component Kr_channel_states (dimensionless)"
legend_rates[15] = "d/dt P_C1 in component Kr_channel_states (dimensionless)"
legend_rates[14] = "d/dt P_O in component Kr_channel_states (dimensionless)"
legend_rates[18] = "d/dt P_I in component Kr_channel_states (dimensionless)"
legend_rates[19] = "d/dt xs1 in component slow_delayed_rectifier_potassium_current_xs1_gate (dimensionless)"
legend_rates[20] = "d/dt xs2 in component slow_delayed_rectifier_potassium_current_xs2_gate (dimensionless)"
legend_rates[21] = "d/dt zdv in component transient_outward_current_zdv_gate (dimensionless)"
legend_rates[22] = "d/dt ydv in component transient_outward_current_ydv_gate (dimensionless)"
legend_rates[25] = "d/dt APtrack in component calcium_dynamics (dimensionless)"
legend_rates[26] = "d/dt APtrack2 in component calcium_dynamics (dimensionless)"
legend_rates[27] = "d/dt APtrack3 in component calcium_dynamics (dimensionless)"
legend_rates[28] = "d/dt Cainfluxtrack in component calcium_dynamics (dimensionless)"
legend_rates[29] = "d/dt OVRLDtrack in component calcium_dynamics (dimensionless)"
legend_rates[30] = "d/dt OVRLDtrack2 in component calcium_dynamics (dimensionless)"
legend_rates[31] = "d/dt OVRLDtrack3 in component calcium_dynamics (dimensionless)"
legend_rates[23] = "d/dt Ca_JSR in component calcium_dynamics (millimolar)"
legend_rates[24] = "d/dt Ca_NSR in component calcium_dynamics (millimolar)"
legend_rates[8] = "d/dt Cai in component calcium_dynamics (millimolar)"
legend_rates[1] = "d/dt Nai in component ionic_concentrations (millimolar)"
legend_rates[9] = "d/dt Ki in component ionic_concentrations (millimolar)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)
def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
states[0] = -90
constants[0] = 8314
constants[1] = 310
constants[2] = 96485
constants[3] = 0.001
constants[4] = 3
constants[5] = 9
constants[6] = 1
constants[7] = 0.002
constants[8] = -25.5
constants[9] = 18.5
constants[10] = 132
states[1] = 9
states[2] = 1.78e-6
states[3] = 1.119e-4
states[4] = 0.0071021
states[5] = 0.8294071
states[6] = 0.10199797
states[7] = 0.0613826
constants[11] = 0.75
constants[12] = 0.75
constants[13] = 0.75
constants[14] = 0.75
constants[15] = 0.00054
constants[16] = 6.75e-7
constants[17] = 1.93e-7
constants[18] = 1
constants[19] = 0.341
states[8] = 6e-5
constants[20] = 1.8
constants[21] = 4.5
states[9] = 141.2
states[10] = 3.210618e-6
states[11] = 0.999837
constants[22] = 0.0006
constants[23] = 0.05
states[12] = 0.000970231
states[13] = 0.994305
states[14] = 0.000001
states[15] = 0.000001
states[16] = 0.000001
states[17] = 0.000001
states[18] = 0.000001
constants[24] = 2172
constants[25] = 1077
constants[26] = 0.01833
states[19] = 0.00445683
states[20] = 0.00445683
constants[27] = 0.00552
constants[28] = 2.8
constants[29] = 66
constants[30] = 1
constants[31] = 0.24
constants[32] = 5e-5
constants[33] = 3
constants[34] = 2
constants[35] = 0.00025
states[21] = 0.5
states[22] = 0.5
constants[36] = 0.0005
constants[37] = 1.15
constants[38] = 0.004
constants[39] = 0.003016
constants[40] = 2.25
constants[41] = 10
constants[42] = 1.5
constants[43] = 0.0012
constants[44] = 0.00025
constants[45] = 0.0001
constants[46] = 0.15
constants[47] = 60000
constants[48] = 4000
constants[49] = 0.18
constants[50] = 0.0008
constants[51] = 0.00018
constants[52] = 10
constants[53] = 0.8
constants[54] = 0.00092
constants[55] = 8.75
constants[56] = 15
states[23] = 1.8
states[24] = 1.8
constants[57] = 1.434e-7
constants[58] = 0.0005
constants[59] = 0.00238
constants[60] = 0.07
constants[61] = 0.05
states[25] = 0
states[26] = 0
states[27] = 0
states[28] = 0
states[29] = 0
states[30] = 0
states[31] = 0
constants[62] = 0.7
constants[63] = 0.98
constants[64] = 0.001
constants[65] = 1.1e-4
constants[66] = 0.0135000*(power(constants[21], 0.590000))
constants[67] = 0.750000*(power(constants[21]/5.40000, 1.0/2))
constants[68] = 0.00000*0.128480
constants[69] = (constants[30]*0.000193000)/constants[32]
constants[70] = 0.00000*0.500000
constants[71] = (1.00000/7.00000)*(exp(constants[10]/67.3000)-1.00000)
constants[72] = 0.00000*1.75000e-07
constants[73] = constants[55]/constants[56]
constants[74] = pi*constants[64]*(power(constants[65], 2.00000))
constants[75] = 1.00000/(1.00000+power(constants[33]/constants[35], constants[34]))
constants[76] = 0.680000*constants[74]
constants[77] = constants[69]*constants[75]*(power(constants[21]/4.00000, constants[31]))
constants[78] = (0.00480000/0.680000)*constants[76]
constants[79] = (0.0552000/0.680000)*constants[76]
return (states, constants)
def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
rates[26] = custom_piecewise([less(states[25] , 0.200000) & greater(states[25] , 0.180000), 100000.*(1.00000-states[26])-500.000*states[26] , True, -500.000*states[26]])
rates[27] = custom_piecewise([less(states[25] , 0.200000) & greater(states[25] , 0.180000), 100000.*(1.00000-states[27])-500.000*states[27] , True, -10.0000*states[27]])
rates[29] = custom_piecewise([greater(1.00000/(1.00000+constants[53]/states[24]) , constants[62]) & less(states[31] , 0.370000) & less(states[27] , 0.370000), 50000.0*(1.00000-states[29]) , True, -500.000*states[29]])
rates[30] = custom_piecewise([greater(states[29] , constants[63]) & less(states[30] , constants[63]), 50000.0*(1.00000-states[30]) , True, -500.000*states[30]])
rates[31] = custom_piecewise([greater(states[29] , constants[63]) & less(states[31] , constants[63]), 50000.0*(1.00000-states[31]) , True, -10.0000*states[31]])
algebraic[3] = 1.00000/(1.00000+exp(-(states[0]+14.0000)/10.8000))
algebraic[15] = 0.00370000+0.00610000/(1.00000+exp((states[0]+25.0000)/4.50000))
rates[12] = (algebraic[3]-states[12])/algebraic[15]
algebraic[4] = 1.00000/(1.00000+exp((states[0]+60.0000)/5.60000))
algebraic[16] = custom_piecewise([less_equal(states[0] , 0.00000), -0.000875000*states[0]+0.0120000 , True, 0.0120000])
rates[13] = (algebraic[4]-states[13])/algebraic[16]
algebraic[5] = 55.5000*exp(0.0554715*(states[0]-12.0000))
algebraic[17] = 2.35700*exp(-0.0365880*states[0])*10.5000
rates[17] = algebraic[17]*states[16]-algebraic[5]*states[17]
rates[16] = -(algebraic[17]+constants[24])*states[16]+algebraic[5]*states[17]+constants[25]*states[15]
algebraic[7] = 1.00000/(1.00000+exp(-(states[0]-1.50000)/16.7000))
algebraic[19] = 0.00100000/((7.19000e-05*(states[0]+30.0000))/(1.00000-exp(-0.148000*(states[0]+30.0000)))+(0.000131000*(states[0]+30.0000))/(exp(0.0687000*(states[0]+30.0000))-1.00000))
rates[19] = (algebraic[7]-states[19])/algebraic[19]
algebraic[8] = 1.00000/(1.00000+exp(-(states[0]-1.50000)/16.7000))
algebraic[20] = (4.00000*0.00100000)/((7.19000e-05*(states[0]+30.0000))/(1.00000-exp(-0.148000*(states[0]+30.0000)))+(0.000131000*(states[0]+30.0000))/(exp(0.0687000*(states[0]+30.0000))-1.00000))
rates[20] = (algebraic[8]-states[20])/algebraic[20]
algebraic[0] = 3802.00/(0.102700*exp(-states[0]/17.0000)+0.200000*exp(-states[0]/150.000))
algebraic[31] = 191.700*exp(-states[0]/20.3000)
rates[5] = algebraic[31]*states[4]-algebraic[0]*states[5]
algebraic[2] = 1.00000/(1.00000+exp((states[0]+32.0000)/8.00000))+0.600000/(1.00000+exp((50.0000-states[0])/20.0000))
algebraic[14] = 0.00100000/(0.0197000*exp(-(power(0.0337000*(states[0]+10.0000), 2.00000)))+0.0200000)
algebraic[26] = algebraic[2]/algebraic[14]
algebraic[33] = (1.00000-algebraic[2])/algebraic[14]
rates[11] = algebraic[26]*(1.00000-states[11])-algebraic[33]*states[11]
algebraic[6] = 65.5000*exp(0.0554715*(states[0]-36.0000))
algebraic[18] = 2.93570*exp(-0.0215800*states[0])*6.30000
algebraic[27] = (439.000*exp(-0.0235200*(states[0]+25.0000))*4.50000)/constants[21]
algebraic[34] = 656.000*exp(0.000942000*states[0])*(power(4.50000/constants[21], 0.300000))
rates[14] = -(algebraic[18]+algebraic[34])*states[14]+algebraic[6]*states[15]+algebraic[27]*states[18]
algebraic[9] = (10000.0*exp((states[0]-40.0000)/25.0000))/(1.00000+exp((states[0]-40.0000)/25.0000))
algebraic[21] = (10000.0*exp(-(states[0]+90.0000)/25.0000))/(1.00000+exp(-(states[0]+90.0000)/25.0000))
algebraic[28] = 1.00000/(algebraic[9]+algebraic[21])
algebraic[35] = algebraic[9]/(algebraic[9]+algebraic[21])
rates[21] = (algebraic[35]-states[21])/algebraic[28]
algebraic[10] = 15.0000/(1.00000+exp((states[0]+60.0000)/5.00000))
algebraic[22] = (100.000*exp((states[0]+25.0000)/5.00000))/(1.00000+exp((states[0]+25.0000)/5.00000))
algebraic[29] = 1.00000/(algebraic[10]+algebraic[22])
algebraic[36] = algebraic[10]/(algebraic[10]+algebraic[22])
rates[22] = (algebraic[36]-states[22])/algebraic[29]
algebraic[12] = 3802.00/(0.102700*exp(-states[0]/15.0000)+0.230000*exp(-states[0]/150.000))
algebraic[38] = 200.000*exp(-(states[0]-5.00000)/20.3000)
rates[4] = -(algebraic[31]+algebraic[12])*states[4]+algebraic[0]*states[5]+algebraic[38]*states[3]
algebraic[1] = states[0]+10.0000
algebraic[13] = 1.00000/(1.00000+exp(-algebraic[1]/6.24000))
algebraic[25] = custom_piecewise([less(fabs(algebraic[1]) , 1.00000e-05), 0.00100000/(0.0350000*6.24000) , True, (0.00100000*algebraic[13]*(1.00000-exp(-algebraic[1]/6.24000)))/(0.0350000*algebraic[1])])
algebraic[32] = algebraic[13]/algebraic[25]
algebraic[39] = (1.00000-algebraic[13])/algebraic[25]
rates[10] = algebraic[32]*(1.00000-states[10])-algebraic[39]*states[10]
algebraic[40] = (algebraic[27]*algebraic[18]*algebraic[6])/(algebraic[6]*algebraic[34])
rates[15] = -(constants[25]+algebraic[6]+algebraic[6])*states[15]+constants[24]*states[16]+algebraic[18]*states[14]+algebraic[40]*states[18]
rates[18] = -(algebraic[40]+algebraic[27])*states[18]+algebraic[6]*states[15]+algebraic[34]*states[14]
algebraic[24] = 3802.00/(0.102700*exp(-states[0]/12.0000)+0.250000*exp(-states[0]/150.000))
algebraic[42] = 220.000*exp(-(states[0]-10.0000)/20.3000)
algebraic[46] = 3.79330e-07*exp(-states[0]/5.20000)
algebraic[48] = 8.40000+0.0200000*states[0]
rates[3] = -(algebraic[38]+algebraic[24]+algebraic[48])*states[3]+algebraic[12]*states[4]+algebraic[42]*states[2]+algebraic[46]*states[6]
algebraic[44] = 9178.00*exp(states[0]/29.6800)
algebraic[50] = (algebraic[24]*algebraic[44]*algebraic[46])/(algebraic[42]*algebraic[48])
rates[2] = -(algebraic[44]+algebraic[42])*states[2]+algebraic[50]*states[6]+algebraic[24]*states[3]
algebraic[52] = algebraic[44]/100.000
algebraic[54] = algebraic[46]
rates[6] = -(algebraic[50]+algebraic[46]+algebraic[52])*states[6]+algebraic[48]*states[3]+algebraic[54]*states[7]+algebraic[44]*states[2]
rates[7] = algebraic[52]*states[6]-algebraic[54]*states[7]
algebraic[55] = ((constants[0]*constants[1])/constants[2])*log(constants[21]/states[9])
algebraic[56] = constants[66]*states[14]*(states[0]-algebraic[55])
algebraic[58] = 0.433000*(1.00000+0.600000/(1.00000+power(3.80000e-05/states[8], 1.40000)))
algebraic[57] = ((constants[0]*constants[1])/constants[2])*log((constants[21]+constants[26]*constants[10])/(states[9]+constants[26]*states[1]))
algebraic[59] = algebraic[58]*states[19]*states[20]*(states[0]-algebraic[57])
algebraic[60] = ((constants[0]*constants[1])/constants[2])*log(constants[21]/states[9])
algebraic[67] = 0.850000/(1.00000+power(constants[29]/states[1], constants[28]))
algebraic[68] = 0.800000-0.650000/(1.00000+exp((states[0]+125.000)/15.0000))
algebraic[69] = constants[68]*algebraic[67]*algebraic[68]*(states[0]-algebraic[60])
algebraic[70] = constants[77]*(states[0]-algebraic[60])
algebraic[71] = exp(states[0]/100.000)
algebraic[72] = constants[70]*(power(states[21], 3.00000))*states[22]*algebraic[71]*(states[0]-algebraic[60])
algebraic[61] = 1020.00/(1.00000+exp(0.238500*((states[0]-algebraic[60])-59.2150)))
algebraic[62] = (1000.00*(0.491240*exp(0.0803200*((states[0]-algebraic[60])+5.47600))+exp(0.0617500*((states[0]-algebraic[60])-594.310))))/(1.00000+exp(-0.514300*((states[0]-algebraic[60])+4.75300)))
algebraic[63] = algebraic[61]/(algebraic[61]+algebraic[62])
algebraic[64] = constants[67]*algebraic[63]*(states[0]-algebraic[60])
algebraic[65] = 1.00000/(1.00000+exp((7.48800-states[0])/5.98000))
algebraic[66] = constants[27]*algebraic[65]*(states[0]-algebraic[60])
algebraic[78] = 1.00000/(1.00000+0.124500*exp((-0.100000*states[0]*constants[2])/(constants[0]*constants[1]))+0.0365000*constants[71]*exp((-states[0]*constants[2])/(constants[0]*constants[1])))
algebraic[79] = (((constants[40]*algebraic[78]*1.00000)/(1.00000+power(constants[41]/states[1], 2.00000)))*constants[21])/(constants[21]+constants[42])
algebraic[43] = (((constants[17]*(power(1.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[13]*states[9]*exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[14]*constants[21]))/(exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[45] = 1.00000/(1.00000+states[8]/constants[22])
algebraic[51] = states[10]*states[11]*algebraic[45]*algebraic[43]
algebraic[81] = (((constants[72]*(power(1.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[13]*states[9]*exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[14]*constants[21]))/(exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[83] = (algebraic[81]*1.00000)/(1.00000+power(constants[43]/states[8], 3.00000))
rates[9] = (-(algebraic[51]+algebraic[56]+algebraic[59]+algebraic[64]+algebraic[66]+algebraic[69]+algebraic[70]+algebraic[72]+algebraic[83]+-algebraic[79]*2.00000)*constants[57])/(constants[76]*constants[2])
algebraic[11] = custom_piecewise([greater_equal(voi , constants[4]) & less_equal(voi , constants[5]) & less_equal((voi-constants[4])-floor((voi-constants[4])/constants[6])*constants[6] , constants[7]), constants[8] , True, 0.00000])
algebraic[23] = ((constants[0]*constants[1])/constants[2])*log(constants[10]/states[1])
algebraic[30] = constants[9]*states[2]*(states[0]-algebraic[23])
algebraic[37] = (((constants[15]*(power(2.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[18]*states[8]*exp((2.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[19]*constants[20]))/(exp((2.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[47] = states[10]*states[11]*algebraic[45]*algebraic[37]
algebraic[41] = (((constants[16]*(power(1.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[11]*states[1]*exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[12]*constants[10]))/(exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[49] = states[10]*states[11]*algebraic[45]*algebraic[41]
algebraic[53] = algebraic[47]+algebraic[51]+algebraic[49]
algebraic[75] = ((constants[0]*constants[1])/(2.00000*constants[2]))*log(constants[20]/states[8])
algebraic[76] = constants[23]*states[12]*states[12]*states[13]*(states[0]-algebraic[75])
algebraic[85] = (constants[44]*exp(((constants[46]-1.00000)*states[0]*constants[2])/(constants[0]*constants[1]))*(exp((states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[1], 3.00000))*constants[20]-(power(constants[10], 3.00000))*states[8]))/(1.00000+constants[45]*exp(((constants[46]-1.00000)*states[0]*constants[2])/(constants[0]*constants[1]))*(exp((states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[1], 3.00000))*constants[20]+(power(constants[10], 3.00000))*states[8]))
algebraic[73] = (constants[37]*states[8])/(constants[36]+states[8])
algebraic[74] = constants[38]*(states[0]-algebraic[23])
algebraic[77] = constants[39]*(states[0]-algebraic[75])
algebraic[80] = (((constants[72]*(power(1.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[11]*states[1]*exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[12]*constants[10]))/(exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[82] = (algebraic[80]*1.00000)/(1.00000+power(constants[43]/states[8], 3.00000))
algebraic[84] = algebraic[82]+algebraic[83]
rates[0] = (-1.00000/constants[3])*(algebraic[30]+algebraic[53]+algebraic[76]+algebraic[56]+algebraic[59]+algebraic[69]+algebraic[70]+algebraic[72]+algebraic[64]+algebraic[66]+algebraic[85]+algebraic[73]+algebraic[74]+algebraic[77]+algebraic[79]+algebraic[84]+algebraic[11])
rates[28] = custom_piecewise([greater(states[25] , 0.200000), (-constants[57]*(((algebraic[47]+algebraic[76])-algebraic[85])+algebraic[73]+algebraic[77]))/(2.00000*constants[76]*constants[2]) , greater(states[26] , 0.0100000) & less_equal(states[25] , 0.200000), 0.00000 , True, -500.000*states[28]])
rates[1] = (-(algebraic[30]+algebraic[49]+algebraic[74]+algebraic[82]+algebraic[85]*3.00000+algebraic[79]*3.00000)*constants[57])/(constants[76]*constants[2])
algebraic[86] = (-1.00000/constants[3])*(algebraic[30]+algebraic[53]+algebraic[76]+algebraic[56]+algebraic[59]+algebraic[69]+algebraic[70]+algebraic[72]+algebraic[64]+algebraic[66]+algebraic[85]+algebraic[73]+algebraic[74]+algebraic[77]+algebraic[79]+algebraic[84]+algebraic[11])
rates[25] = custom_piecewise([greater(algebraic[86] , 150000.), 100000.*(1.00000-states[25])-500.000*states[25] , True, -500.000*states[25]])
algebraic[87] = custom_piecewise([greater(states[28] , constants[51]), ((constants[47]*(states[28]-constants[51]))/((constants[50]+states[28])-constants[51]))*(1.00000-states[26])*states[26] , less_equal(states[28] , constants[51]) & greater(states[30] , 0.00000), constants[48]*(1.00000-states[30])*states[30] , True, 0.00000])
algebraic[88] = algebraic[87]*(states[23]-states[8])
algebraic[89] = (constants[55]*states[8])/(states[8]+constants[54])
algebraic[90] = constants[73]*states[24]
rates[8] = (1.00000/(1.00000+(constants[61]*constants[59])/(power(constants[59]+states[8], 2.00000))+(constants[60]*constants[58])/(power(constants[58]+states[8], 2.00000))))*((-constants[57]*(((algebraic[47]+algebraic[76])-2.00000*algebraic[85])+algebraic[73]+algebraic[77]))/(2.00000*constants[76]*constants[2])+(algebraic[88]*constants[78])/constants[76]+((algebraic[90]-algebraic[89])*constants[79])/constants[76])
algebraic[91] = (states[24]-states[23])/constants[49]
rates[23] = (1.00000/(1.00000+(constants[52]*constants[53])/(power(constants[53]+states[23], 2.00000))))*(algebraic[91]-algebraic[88])
rates[24] = ((-algebraic[91]*constants[78])/constants[79]-algebraic[90])+algebraic[89]
return(rates)
def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
algebraic[3] = 1.00000/(1.00000+exp(-(states[0]+14.0000)/10.8000))
algebraic[15] = 0.00370000+0.00610000/(1.00000+exp((states[0]+25.0000)/4.50000))
algebraic[4] = 1.00000/(1.00000+exp((states[0]+60.0000)/5.60000))
algebraic[16] = custom_piecewise([less_equal(states[0] , 0.00000), -0.000875000*states[0]+0.0120000 , True, 0.0120000])
algebraic[5] = 55.5000*exp(0.0554715*(states[0]-12.0000))
algebraic[17] = 2.35700*exp(-0.0365880*states[0])*10.5000
algebraic[7] = 1.00000/(1.00000+exp(-(states[0]-1.50000)/16.7000))
algebraic[19] = 0.00100000/((7.19000e-05*(states[0]+30.0000))/(1.00000-exp(-0.148000*(states[0]+30.0000)))+(0.000131000*(states[0]+30.0000))/(exp(0.0687000*(states[0]+30.0000))-1.00000))
algebraic[8] = 1.00000/(1.00000+exp(-(states[0]-1.50000)/16.7000))
algebraic[20] = (4.00000*0.00100000)/((7.19000e-05*(states[0]+30.0000))/(1.00000-exp(-0.148000*(states[0]+30.0000)))+(0.000131000*(states[0]+30.0000))/(exp(0.0687000*(states[0]+30.0000))-1.00000))
algebraic[0] = 3802.00/(0.102700*exp(-states[0]/17.0000)+0.200000*exp(-states[0]/150.000))
algebraic[31] = 191.700*exp(-states[0]/20.3000)
algebraic[2] = 1.00000/(1.00000+exp((states[0]+32.0000)/8.00000))+0.600000/(1.00000+exp((50.0000-states[0])/20.0000))
algebraic[14] = 0.00100000/(0.0197000*exp(-(power(0.0337000*(states[0]+10.0000), 2.00000)))+0.0200000)
algebraic[26] = algebraic[2]/algebraic[14]
algebraic[33] = (1.00000-algebraic[2])/algebraic[14]
algebraic[6] = 65.5000*exp(0.0554715*(states[0]-36.0000))
algebraic[18] = 2.93570*exp(-0.0215800*states[0])*6.30000
algebraic[27] = (439.000*exp(-0.0235200*(states[0]+25.0000))*4.50000)/constants[21]
algebraic[34] = 656.000*exp(0.000942000*states[0])*(power(4.50000/constants[21], 0.300000))
algebraic[9] = (10000.0*exp((states[0]-40.0000)/25.0000))/(1.00000+exp((states[0]-40.0000)/25.0000))
algebraic[21] = (10000.0*exp(-(states[0]+90.0000)/25.0000))/(1.00000+exp(-(states[0]+90.0000)/25.0000))
algebraic[28] = 1.00000/(algebraic[9]+algebraic[21])
algebraic[35] = algebraic[9]/(algebraic[9]+algebraic[21])
algebraic[10] = 15.0000/(1.00000+exp((states[0]+60.0000)/5.00000))
algebraic[22] = (100.000*exp((states[0]+25.0000)/5.00000))/(1.00000+exp((states[0]+25.0000)/5.00000))
algebraic[29] = 1.00000/(algebraic[10]+algebraic[22])
algebraic[36] = algebraic[10]/(algebraic[10]+algebraic[22])
algebraic[12] = 3802.00/(0.102700*exp(-states[0]/15.0000)+0.230000*exp(-states[0]/150.000))
algebraic[38] = 200.000*exp(-(states[0]-5.00000)/20.3000)
algebraic[1] = states[0]+10.0000
algebraic[13] = 1.00000/(1.00000+exp(-algebraic[1]/6.24000))
algebraic[25] = custom_piecewise([less(fabs(algebraic[1]) , 1.00000e-05), 0.00100000/(0.0350000*6.24000) , True, (0.00100000*algebraic[13]*(1.00000-exp(-algebraic[1]/6.24000)))/(0.0350000*algebraic[1])])
algebraic[32] = algebraic[13]/algebraic[25]
algebraic[39] = (1.00000-algebraic[13])/algebraic[25]
algebraic[40] = (algebraic[27]*algebraic[18]*algebraic[6])/(algebraic[6]*algebraic[34])
algebraic[24] = 3802.00/(0.102700*exp(-states[0]/12.0000)+0.250000*exp(-states[0]/150.000))
algebraic[42] = 220.000*exp(-(states[0]-10.0000)/20.3000)
algebraic[46] = 3.79330e-07*exp(-states[0]/5.20000)
algebraic[48] = 8.40000+0.0200000*states[0]
algebraic[44] = 9178.00*exp(states[0]/29.6800)
algebraic[50] = (algebraic[24]*algebraic[44]*algebraic[46])/(algebraic[42]*algebraic[48])
algebraic[52] = algebraic[44]/100.000
algebraic[54] = algebraic[46]
algebraic[55] = ((constants[0]*constants[1])/constants[2])*log(constants[21]/states[9])
algebraic[56] = constants[66]*states[14]*(states[0]-algebraic[55])
algebraic[58] = 0.433000*(1.00000+0.600000/(1.00000+power(3.80000e-05/states[8], 1.40000)))
algebraic[57] = ((constants[0]*constants[1])/constants[2])*log((constants[21]+constants[26]*constants[10])/(states[9]+constants[26]*states[1]))
algebraic[59] = algebraic[58]*states[19]*states[20]*(states[0]-algebraic[57])
algebraic[60] = ((constants[0]*constants[1])/constants[2])*log(constants[21]/states[9])
algebraic[67] = 0.850000/(1.00000+power(constants[29]/states[1], constants[28]))
algebraic[68] = 0.800000-0.650000/(1.00000+exp((states[0]+125.000)/15.0000))
algebraic[69] = constants[68]*algebraic[67]*algebraic[68]*(states[0]-algebraic[60])
algebraic[70] = constants[77]*(states[0]-algebraic[60])
algebraic[71] = exp(states[0]/100.000)
algebraic[72] = constants[70]*(power(states[21], 3.00000))*states[22]*algebraic[71]*(states[0]-algebraic[60])
algebraic[61] = 1020.00/(1.00000+exp(0.238500*((states[0]-algebraic[60])-59.2150)))
algebraic[62] = (1000.00*(0.491240*exp(0.0803200*((states[0]-algebraic[60])+5.47600))+exp(0.0617500*((states[0]-algebraic[60])-594.310))))/(1.00000+exp(-0.514300*((states[0]-algebraic[60])+4.75300)))
algebraic[63] = algebraic[61]/(algebraic[61]+algebraic[62])
algebraic[64] = constants[67]*algebraic[63]*(states[0]-algebraic[60])
algebraic[65] = 1.00000/(1.00000+exp((7.48800-states[0])/5.98000))
algebraic[66] = constants[27]*algebraic[65]*(states[0]-algebraic[60])
algebraic[78] = 1.00000/(1.00000+0.124500*exp((-0.100000*states[0]*constants[2])/(constants[0]*constants[1]))+0.0365000*constants[71]*exp((-states[0]*constants[2])/(constants[0]*constants[1])))
algebraic[79] = (((constants[40]*algebraic[78]*1.00000)/(1.00000+power(constants[41]/states[1], 2.00000)))*constants[21])/(constants[21]+constants[42])
algebraic[43] = (((constants[17]*(power(1.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[13]*states[9]*exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[14]*constants[21]))/(exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[45] = 1.00000/(1.00000+states[8]/constants[22])
algebraic[51] = states[10]*states[11]*algebraic[45]*algebraic[43]
algebraic[81] = (((constants[72]*(power(1.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[13]*states[9]*exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[14]*constants[21]))/(exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[83] = (algebraic[81]*1.00000)/(1.00000+power(constants[43]/states[8], 3.00000))
algebraic[11] = custom_piecewise([greater_equal(voi , constants[4]) & less_equal(voi , constants[5]) & less_equal((voi-constants[4])-floor((voi-constants[4])/constants[6])*constants[6] , constants[7]), constants[8] , True, 0.00000])
algebraic[23] = ((constants[0]*constants[1])/constants[2])*log(constants[10]/states[1])
algebraic[30] = constants[9]*states[2]*(states[0]-algebraic[23])
algebraic[37] = (((constants[15]*(power(2.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[18]*states[8]*exp((2.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[19]*constants[20]))/(exp((2.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[47] = states[10]*states[11]*algebraic[45]*algebraic[37]
algebraic[41] = (((constants[16]*(power(1.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[11]*states[1]*exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[12]*constants[10]))/(exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[49] = states[10]*states[11]*algebraic[45]*algebraic[41]
algebraic[53] = algebraic[47]+algebraic[51]+algebraic[49]
algebraic[75] = ((constants[0]*constants[1])/(2.00000*constants[2]))*log(constants[20]/states[8])
algebraic[76] = constants[23]*states[12]*states[12]*states[13]*(states[0]-algebraic[75])
algebraic[85] = (constants[44]*exp(((constants[46]-1.00000)*states[0]*constants[2])/(constants[0]*constants[1]))*(exp((states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[1], 3.00000))*constants[20]-(power(constants[10], 3.00000))*states[8]))/(1.00000+constants[45]*exp(((constants[46]-1.00000)*states[0]*constants[2])/(constants[0]*constants[1]))*(exp((states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[1], 3.00000))*constants[20]+(power(constants[10], 3.00000))*states[8]))
algebraic[73] = (constants[37]*states[8])/(constants[36]+states[8])
algebraic[74] = constants[38]*(states[0]-algebraic[23])
algebraic[77] = constants[39]*(states[0]-algebraic[75])
algebraic[80] = (((constants[72]*(power(1.00000, 2.00000))*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*(constants[11]*states[1]*exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-constants[12]*constants[10]))/(exp((1.00000*states[0]*constants[2])/(constants[0]*constants[1]))-1.00000)
algebraic[82] = (algebraic[80]*1.00000)/(1.00000+power(constants[43]/states[8], 3.00000))
algebraic[84] = algebraic[82]+algebraic[83]
algebraic[86] = (-1.00000/constants[3])*(algebraic[30]+algebraic[53]+algebraic[76]+algebraic[56]+algebraic[59]+algebraic[69]+algebraic[70]+algebraic[72]+algebraic[64]+algebraic[66]+algebraic[85]+algebraic[73]+algebraic[74]+algebraic[77]+algebraic[79]+algebraic[84]+algebraic[11])
algebraic[87] = custom_piecewise([greater(states[28] , constants[51]), ((constants[47]*(states[28]-constants[51]))/((constants[50]+states[28])-constants[51]))*(1.00000-states[26])*states[26] , less_equal(states[28] , constants[51]) & greater(states[30] , 0.00000), constants[48]*(1.00000-states[30])*states[30] , True, 0.00000])
algebraic[88] = algebraic[87]*(states[23]-states[8])
algebraic[89] = (constants[55]*states[8])/(states[8]+constants[54])
algebraic[90] = constants[73]*states[24]
algebraic[91] = (states[24]-states[23])/constants[49]
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)