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 = 80
sizeStates = 34
sizeConstants = 102
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_mole_kelvin)"
legend_constants[1] = "T in component membrane (kelvin)"
legend_constants[2] = "F in component membrane (coulomb_per_millimole)"
legend_constants[3] = "C_sc in component membrane (microF_per_cm2)"
legend_algebraic[10] = "i_Stim in component membrane (microA_per_microF)"
legend_algebraic[26] = "i_Na in component fast_sodium_current (microA_per_microF)"
legend_algebraic[49] = "i_Ca in component L_type_Ca_current (microA_per_microF)"
legend_algebraic[50] = "i_Ca_K in component L_type_Ca_current (microA_per_microF)"
legend_algebraic[31] = "i_Kr in component rapid_activating_delayed_rectifiyer_K_current (microA_per_microF)"
legend_algebraic[33] = "i_Ks in component slow_activating_delayed_rectifiyer_K_current (microA_per_microF)"
legend_algebraic[34] = "i_to1 in component transient_outward_potassium_current (microA_per_microF)"
legend_algebraic[36] = "i_K1 in component time_independent_potassium_current (microA_per_microF)"
legend_algebraic[38] = "i_Kp in component plateau_potassium_current (microA_per_microF)"
legend_algebraic[39] = "i_NaCa in component Na_Ca_exchanger (microA_per_microF)"
legend_algebraic[41] = "i_NaK in component sodium_potassium_pump (microA_per_microF)"
legend_algebraic[43] = "i_p_Ca in component sarcolemmal_calcium_pump (microA_per_microF)"
legend_algebraic[45] = "i_Ca_b in component calcium_background_current (microA_per_microF)"
legend_algebraic[46] = "i_Na_b in component sodium_background_current (microA_per_microF)"
legend_algebraic[79] = "i_K_ATP in component ATP_sensitive_potassium_current (microA_per_microF)"
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 (second)"
legend_constants[7] = "stim_duration in component membrane (second)"
legend_constants[8] = "stim_amplitude in component membrane (microA_per_microF)"
legend_algebraic[21] = "E_Na in component fast_sodium_current (millivolt)"
legend_constants[9] = "g_Na in component fast_sodium_current (milliS_per_microF)"
legend_constants[10] = "Na_o in component extracellular_ion_concentrations (millimolar)"
legend_states[1] = "Na_i in component intracellular_ion_concentrations (millimolar)"
legend_states[2] = "m in component fast_sodium_current_m_gate (dimensionless)"
legend_states[3] = "h in component fast_sodium_current_h_gate (dimensionless)"
legend_states[4] = "j in component fast_sodium_current_j_gate (dimensionless)"
legend_algebraic[11] = "alpha_m in component fast_sodium_current_m_gate (per_second)"
legend_algebraic[22] = "beta_m in component fast_sodium_current_m_gate (per_second)"
legend_algebraic[0] = "E0_m in component fast_sodium_current_m_gate (millivolt)"
legend_algebraic[1] = "alpha_h in component fast_sodium_current_h_gate (per_second)"
legend_algebraic[12] = "beta_h in component fast_sodium_current_h_gate (per_second)"
legend_algebraic[2] = "alpha_j in component fast_sodium_current_j_gate (per_second)"
legend_algebraic[13] = "beta_j in component fast_sodium_current_j_gate (per_second)"
legend_algebraic[29] = "E_K in component rapid_activating_delayed_rectifiyer_K_current (millivolt)"
legend_constants[11] = "g_Kr in component rapid_activating_delayed_rectifiyer_K_current (milliS_per_microF)"
legend_constants[99] = "f_K_o in component rapid_activating_delayed_rectifiyer_K_current (dimensionless)"
legend_algebraic[30] = "R_V in component rapid_activating_delayed_rectifiyer_K_current (dimensionless)"
legend_constants[12] = "K_o in component extracellular_ion_concentrations (millimolar)"
legend_states[5] = "K_i in component intracellular_ion_concentrations (millimolar)"
legend_states[6] = "X_kr in component rapid_activating_delayed_rectifiyer_K_current_X_kr_gate (dimensionless)"
legend_algebraic[3] = "K12 in component rapid_activating_delayed_rectifiyer_K_current_X_kr_gate (dimensionless)"
legend_algebraic[14] = "K21 in component rapid_activating_delayed_rectifiyer_K_current_X_kr_gate (dimensionless)"
legend_algebraic[23] = "X_kr_inf in component rapid_activating_delayed_rectifiyer_K_current_X_kr_gate (dimensionless)"
legend_algebraic[27] = "tau_X_kr in component rapid_activating_delayed_rectifiyer_K_current_X_kr_gate (second)"
legend_constants[13] = "tau_factor in component rapid_activating_delayed_rectifiyer_K_current_X_kr_gate (dimensionless)"
legend_constants[14] = "g_Ks in component slow_activating_delayed_rectifiyer_K_current (milliS_per_microF)"
legend_algebraic[32] = "E_Ks in component slow_activating_delayed_rectifiyer_K_current (millivolt)"
legend_states[7] = "X_ks in component slow_activating_delayed_rectifiyer_K_current_X_ks_gate (dimensionless)"
legend_algebraic[15] = "tau_X_ks in component slow_activating_delayed_rectifiyer_K_current_X_ks_gate (second)"
legend_algebraic[4] = "X_ks_infinity in component slow_activating_delayed_rectifiyer_K_current_X_ks_gate (dimensionless)"
legend_constants[15] = "g_to1 in component transient_outward_potassium_current (milliS_per_microF)"
legend_states[8] = "X_to1 in component transient_outward_potassium_current_X_to1_gate (dimensionless)"
legend_states[9] = "Y_to1 in component transient_outward_potassium_current_Y_to1_gate (dimensionless)"
legend_algebraic[5] = "alpha_X_to1 in component transient_outward_potassium_current_X_to1_gate (per_second)"
legend_algebraic[16] = "beta_X_to1 in component transient_outward_potassium_current_X_to1_gate (per_second)"
legend_algebraic[6] = "alpha_Y_to1 in component transient_outward_potassium_current_Y_to1_gate (per_second)"
legend_algebraic[17] = "beta_Y_to1 in component transient_outward_potassium_current_Y_to1_gate (per_second)"
legend_constants[16] = "g_K1 in component time_independent_potassium_current (milliS_per_microF)"
legend_constants[17] = "K_mK1 in component time_independent_potassium_current (millimolar)"
legend_algebraic[35] = "K1_infinity_V in component time_independent_potassium_current_K1_gate (dimensionless)"
legend_constants[18] = "g_Kp in component plateau_potassium_current (milliS_per_microF)"
legend_algebraic[37] = "Kp_V in component plateau_potassium_current_Kp_gate (dimensionless)"
legend_constants[19] = "K_mCa in component Na_Ca_exchanger (millimolar)"
legend_constants[20] = "K_mNa in component Na_Ca_exchanger (millimolar)"
legend_constants[21] = "K_NaCa in component Na_Ca_exchanger (microA_per_microF)"
legend_constants[22] = "K_sat in component Na_Ca_exchanger (dimensionless)"
legend_constants[23] = "eta in component Na_Ca_exchanger (dimensionless)"
legend_states[10] = "Ca_i in component intracellular_ion_concentrations (millimolar)"
legend_constants[24] = "Ca_o in component extracellular_ion_concentrations (millimolar)"
legend_constants[25] = "I_NaK in component sodium_potassium_pump (microA_per_microF)"
legend_algebraic[40] = "f_NaK in component sodium_potassium_pump (dimensionless)"
legend_constants[26] = "K_mNa_i in component sodium_potassium_pump (millimolar)"
legend_constants[27] = "K_mK_o in component sodium_potassium_pump (millimolar)"
legend_constants[100] = "sigma in component sodium_potassium_pump (dimensionless)"
legend_algebraic[42] = "i_p_Ca_winslow in component sarcolemmal_calcium_pump (microA_per_microF)"
legend_constants[28] = "K_mpCa in component sarcolemmal_calcium_pump (millimolar)"
legend_constants[29] = "I_pCa in component sarcolemmal_calcium_pump (microA_per_microF)"
legend_states[11] = "MgATP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_constants[30] = "MgATP_i0 in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_constants[31] = "g_Cab in component calcium_background_current (milliS_per_microF)"
legend_algebraic[44] = "E_Ca in component calcium_background_current (millivolt)"
legend_constants[32] = "g_Nab in component sodium_background_current (milliS_per_microF)"
legend_constants[33] = "P_Ca in component L_type_Ca_current (cm_per_second)"
legend_constants[34] = "p_prime_k in component L_type_Ca_current (cm_per_second)"
legend_algebraic[48] = "f_Ca in component L_type_Ca_current (dimensionless)"
legend_algebraic[47] = "P_rom in component L_type_Ca_current (dimensionless)"
legend_constants[35] = "k_MgATP_ss in component L_type_Ca_current (millimolar)"
legend_algebraic[7] = "alpha in component L_type_Ca_current (per_second)"
legend_algebraic[18] = "beta in component L_type_Ca_current (per_second)"
legend_algebraic[8] = "gamma in component L_type_Ca_current (per_second)"
legend_algebraic[24] = "v_gamma in component L_type_Ca_current (per_second)"
legend_algebraic[25] = "alpha_prime in component L_type_Ca_current (per_second)"
legend_algebraic[28] = "beta_prime in component L_type_Ca_current (per_second)"
legend_constants[36] = "a in component L_type_Ca_current (dimensionless)"
legend_constants[37] = "b in component L_type_Ca_current (dimensionless)"
legend_constants[38] = "g in component L_type_Ca_current (per_second)"
legend_constants[39] = "f in component L_type_Ca_current (per_second)"
legend_algebraic[19] = "v_omega in component L_type_Ca_current (per_second)"
legend_constants[40] = "omega in component L_type_Ca_current (per_second)"
legend_constants[101] = "x in component L_type_Ca_current (dimensionless)"
legend_states[12] = "z in component L_type_Ca_current (dimensionless)"
legend_states[13] = "v in component L_type_Ca_current (dimensionless)"
legend_states[14] = "w in component L_type_Ca_current (dimensionless)"
legend_states[15] = "Ca_ss in component intracellular_ion_concentrations (millimolar)"
legend_states[16] = "MgATP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_states[17] = "y in component L_type_Ca_current_y_gate (dimensionless)"
legend_algebraic[9] = "y_infinity in component L_type_Ca_current_y_gate (dimensionless)"
legend_algebraic[20] = "tau_y in component L_type_Ca_current_y_gate (second)"
legend_algebraic[75] = "g_K_ATP in component ATP_sensitive_potassium_current (milliS_per_microF)"
legend_constants[41] = "G_K_ATP in component ATP_sensitive_potassium_current (milliS_per_microF)"
legend_algebraic[73] = "f_K_ATP in component ATP_sensitive_potassium_current (dimensionless)"
legend_algebraic[69] = "f_ATP in component ATP_sensitive_potassium_current (dimensionless)"
legend_constants[42] = "k_ATP in component ATP_sensitive_potassium_current (millimolar)"
legend_constants[43] = "k_MgADP in component ATP_sensitive_potassium_current (millimolar)"
legend_constants[44] = "K_o_normal in component ATP_sensitive_potassium_current (millimolar)"
legend_algebraic[51] = "f_MgADP_ in component ATP_sensitive_potassium_current (dimensionless)"
legend_algebraic[53] = "f_MgADP in component ATP_sensitive_potassium_current (dimensionless)"
legend_algebraic[52] = "c_MgADP in component ATP_sensitive_potassium_current (dimensionless)"
legend_constants[45] = "go in component ATP_sensitive_potassium_current (dimensionless)"
legend_constants[46] = "gd in component ATP_sensitive_potassium_current (dimensionless)"
legend_algebraic[68] = "ATP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_states[18] = "MgADP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_algebraic[54] = "J_rel in component RyR_channel (millimolar_per_second)"
legend_constants[47] = "v1 in component RyR_channel (per_second)"
legend_constants[48] = "k_a_plus in component RyR_channel (millimolar4_per_second)"
legend_constants[49] = "k_a_minus in component RyR_channel (per_second)"
legend_constants[50] = "k_b_plus in component RyR_channel (millimolar3_per_second)"
legend_constants[51] = "k_b_minus in component RyR_channel (per_second)"
legend_constants[52] = "k_c_plus in component RyR_channel (per_second)"
legend_constants[53] = "k_c_minus in component RyR_channel (per_second)"
legend_states[19] = "P_O1 in component RyR_channel (dimensionless)"
legend_states[20] = "P_O2 in component RyR_channel (dimensionless)"
legend_states[21] = "P_C1 in component RyR_channel (dimensionless)"
legend_states[22] = "P_C2 in component RyR_channel (dimensionless)"
legend_constants[54] = "n in component RyR_channel (dimensionless)"
legend_constants[55] = "m in component RyR_channel (dimensionless)"
legend_states[23] = "Ca_JSR in component intracellular_ion_concentrations (millimolar)"
legend_algebraic[58] = "J_up in component SERCA2a_pump (millimolar_per_second)"
legend_algebraic[57] = "J_up_winslow in component SERCA2a_pump (millimolar_per_second)"
legend_constants[56] = "K_fb in component SERCA2a_pump (millimolar)"
legend_constants[57] = "K_rb in component SERCA2a_pump (millimolar)"
legend_algebraic[55] = "fb in component SERCA2a_pump (dimensionless)"
legend_algebraic[56] = "rb in component SERCA2a_pump (dimensionless)"
legend_constants[58] = "Vmaxf in component SERCA2a_pump (millimolar_per_second)"
legend_constants[59] = "Vmaxr in component SERCA2a_pump (millimolar_per_second)"
legend_constants[60] = "K_SR in component SERCA2a_pump (dimensionless)"
legend_constants[61] = "N_fb in component SERCA2a_pump (dimensionless)"
legend_constants[62] = "N_rb in component SERCA2a_pump (dimensionless)"
legend_states[24] = "Ca_NSR in component intracellular_ion_concentrations (millimolar)"
legend_algebraic[60] = "J_tr in component intracellular_Ca_fluxes (millimolar_per_second)"
legend_algebraic[59] = "J_xfer in component intracellular_Ca_fluxes (millimolar_per_second)"
legend_algebraic[64] = "J_trpn in component intracellular_Ca_fluxes (millimolar_per_second)"
legend_constants[63] = "tau_tr in component intracellular_Ca_fluxes (second)"
legend_constants[64] = "tau_xfer in component intracellular_Ca_fluxes (second)"
legend_states[25] = "HTRPNCa in component intracellular_Ca_fluxes (millimolar)"
legend_states[26] = "LTRPNCa in component intracellular_Ca_fluxes (millimolar)"
legend_algebraic[62] = "J_HTRPNCa in component intracellular_Ca_fluxes (millimolar_per_second)"
legend_algebraic[63] = "J_LTRPNCa in component intracellular_Ca_fluxes (millimolar_per_second)"
legend_constants[65] = "HTRPN_tot in component intracellular_Ca_fluxes (dimensionless)"
legend_constants[66] = "LTRPN_tot in component intracellular_Ca_fluxes (dimensionless)"
legend_constants[67] = "k_htrpn_plus in component intracellular_Ca_fluxes (per_millimolar_second)"
legend_constants[68] = "k_htrpn_minus in component intracellular_Ca_fluxes (per_second)"
legend_constants[69] = "k_ltrpn_plus in component intracellular_Ca_fluxes (per_millimolar_second)"
legend_constants[70] = "k_ltrpn_minus in component intracellular_Ca_fluxes (per_second)"
legend_constants[71] = "A_cap in component intracellular_ion_concentrations (cm2)"
legend_constants[72] = "V_myo in component intracellular_ion_concentrations (microlitre)"
legend_constants[73] = "V_JSR in component intracellular_ion_concentrations (microlitre)"
legend_constants[74] = "V_NSR in component intracellular_ion_concentrations (microlitre)"
legend_constants[75] = "V_ss in component intracellular_ion_concentrations (microlitre)"
legend_constants[76] = "K_mCMDN in component intracellular_ion_concentrations (millimolar)"
legend_constants[77] = "K_mEGTA in component intracellular_ion_concentrations (millimolar)"
legend_constants[78] = "K_mCSQN in component intracellular_ion_concentrations (millimolar)"
legend_constants[79] = "CMDN_tot in component intracellular_ion_concentrations (millimolar)"
legend_constants[80] = "EGTA_tot in component intracellular_ion_concentrations (millimolar)"
legend_constants[81] = "CSQN_tot in component intracellular_ion_concentrations (millimolar)"
legend_algebraic[65] = "beta_i in component intracellular_ion_concentrations (dimensionless)"
legend_algebraic[66] = "beta_SS in component intracellular_ion_concentrations (dimensionless)"
legend_algebraic[61] = "beta_JSR in component intracellular_ion_concentrations (dimensionless)"
legend_constants[82] = "k_plus_CaATP in component Ca_and_Mg_buffering_by_ATP (per_millimolar_second)"
legend_constants[83] = "k_minus_CaATP in component Ca_and_Mg_buffering_by_ATP (per_second)"
legend_constants[84] = "k_plus_CaADP in component Ca_and_Mg_buffering_by_ATP (per_millimolar_second)"
legend_constants[85] = "k_minus_CaADP in component Ca_and_Mg_buffering_by_ATP (per_second)"
legend_states[27] = "CaADP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_states[28] = "CaADP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_states[29] = "CaATP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_algebraic[74] = "ADP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_algebraic[70] = "ADP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_algebraic[67] = "ATP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_states[30] = "CaATP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_states[31] = "Mg_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_states[32] = "Mg_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_states[33] = "MgADP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_constants[86] = "ATP_tot in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_constants[87] = "k_plus_MgATP in component Ca_and_Mg_buffering_by_ATP (per_millimolar_second)"
legend_constants[88] = "k_minus_MgATP in component Ca_and_Mg_buffering_by_ATP (per_second)"
legend_algebraic[71] = "Jxfer_CaATP in component Ca_and_Mg_buffering_by_ATP (millimolar_per_second)"
legend_algebraic[72] = "Jxfer_MgATP in component Ca_and_Mg_buffering_by_ATP (millimolar_per_second)"
legend_algebraic[76] = "Jxfer_Mg in component Ca_and_Mg_buffering_by_ATP (millimolar_per_second)"
legend_constants[89] = "tau_xfer_CaATP in component Ca_and_Mg_buffering_by_ATP (second)"
legend_constants[90] = "tau_xfer_MgATP in component Ca_and_Mg_buffering_by_ATP (second)"
legend_constants[91] = "tau_xfer_Mg in component Ca_and_Mg_buffering_by_ATP (second)"
legend_constants[92] = "ADP_tot in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_constants[93] = "k_plus_MgADP in component Ca_and_Mg_buffering_by_ATP (per_millimolar_second)"
legend_constants[94] = "k_minus_MgADP in component Ca_and_Mg_buffering_by_ATP (per_second)"
legend_algebraic[77] = "Jxfer_CaADP in component Ca_and_Mg_buffering_by_ATP (millimolar_per_second)"
legend_algebraic[78] = "Jxfer_MgADP in component Ca_and_Mg_buffering_by_ATP (millimolar_per_second)"
legend_constants[95] = "tau_xfer_CaADP in component Ca_and_Mg_buffering_by_ATP (second)"
legend_constants[96] = "tau_xfer_MgADP in component Ca_and_Mg_buffering_by_ATP (second)"
legend_constants[97] = "V_myo in component model_parameters (microlitre)"
legend_constants[98] = "V_ss in component model_parameters (microlitre)"
legend_rates[0] = "d/dt V in component membrane (millivolt)"
legend_rates[2] = "d/dt m in component fast_sodium_current_m_gate (dimensionless)"
legend_rates[3] = "d/dt h in component fast_sodium_current_h_gate (dimensionless)"
legend_rates[4] = "d/dt j in component fast_sodium_current_j_gate (dimensionless)"
legend_rates[6] = "d/dt X_kr in component rapid_activating_delayed_rectifiyer_K_current_X_kr_gate (dimensionless)"
legend_rates[7] = "d/dt X_ks in component slow_activating_delayed_rectifiyer_K_current_X_ks_gate (dimensionless)"
legend_rates[8] = "d/dt X_to1 in component transient_outward_potassium_current_X_to1_gate (dimensionless)"
legend_rates[9] = "d/dt Y_to1 in component transient_outward_potassium_current_Y_to1_gate (dimensionless)"
legend_rates[13] = "d/dt v in component L_type_Ca_current (dimensionless)"
legend_rates[14] = "d/dt w in component L_type_Ca_current (dimensionless)"
legend_rates[12] = "d/dt z in component L_type_Ca_current (dimensionless)"
legend_rates[17] = "d/dt y in component L_type_Ca_current_y_gate (dimensionless)"
legend_rates[21] = "d/dt P_C1 in component RyR_channel (dimensionless)"
legend_rates[19] = "d/dt P_O1 in component RyR_channel (dimensionless)"
legend_rates[20] = "d/dt P_O2 in component RyR_channel (dimensionless)"
legend_rates[22] = "d/dt P_C2 in component RyR_channel (dimensionless)"
legend_rates[25] = "d/dt HTRPNCa in component intracellular_Ca_fluxes (millimolar)"
legend_rates[26] = "d/dt LTRPNCa in component intracellular_Ca_fluxes (millimolar)"
legend_rates[10] = "d/dt Ca_i in component intracellular_ion_concentrations (millimolar)"
legend_rates[1] = "d/dt Na_i in component intracellular_ion_concentrations (millimolar)"
legend_rates[5] = "d/dt K_i in component intracellular_ion_concentrations (millimolar)"
legend_rates[15] = "d/dt Ca_ss in component intracellular_ion_concentrations (millimolar)"
legend_rates[23] = "d/dt Ca_JSR in component intracellular_ion_concentrations (millimolar)"
legend_rates[24] = "d/dt Ca_NSR in component intracellular_ion_concentrations (millimolar)"
legend_rates[29] = "d/dt CaATP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[16] = "d/dt MgATP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[30] = "d/dt CaATP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[11] = "d/dt MgATP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[28] = "d/dt CaADP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[33] = "d/dt MgADP_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[27] = "d/dt CaADP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[18] = "d/dt MgADP_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[31] = "d/dt Mg_ss in component Ca_and_Mg_buffering_by_ATP (millimolar)"
legend_rates[32] = "d/dt Mg_i in component Ca_and_Mg_buffering_by_ATP (millimolar)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)
def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
states[0] = -96.1638
constants[0] = 8.314472
constants[1] = 310
constants[2] = 96.4853415
constants[3] = 0.001
constants[4] = 0.1
constants[5] = 100000000
constants[6] = 1
constants[7] = 0.0005
constants[8] = -100.0
constants[9] = 12.8
constants[10] = 138
states[1] = 10
states[2] = 0.0328302
states[3] = 0.988354
states[4] = 0.99254
constants[11] = 0.0034
constants[12] = 4
states[5] = 159.48
states[6] = 0.51
constants[13] = 1
constants[14] = 0.0027134
states[7] = 0.264
constants[15] = 0.23815
states[8] = 2.63
states[9] = 0.99
constants[16] = 2.8
constants[17] = 13
constants[18] = 0.002216
constants[19] = 1.38
constants[20] = 87.5
constants[21] = 0.3
constants[22] = 0.2
constants[23] = 0.35
states[10] = 8.464E-5
constants[24] = 2
constants[25] = 0.693
constants[26] = 10
constants[27] = 1.5
constants[28] = 0.00005
constants[29] = 0.05
states[11] = 6.4395
constants[30] = 2.888
constants[31] = 0.0003842
constants[32] = 0.0031
constants[33] = 3.594e-4
constants[34] = 6.658e-7
constants[35] = 1.4
constants[36] = 2
constants[37] = 2
constants[38] = 2000
constants[39] = 300
constants[40] = 10
states[12] = 0.1
states[13] = 0.1
states[14] = 0.1
states[15] = 1.315E-4
states[16] = 6.4395
states[17] = 0.798
constants[41] = 0.05
constants[42] = 0.6
constants[43] = 0.4
constants[44] = 4.5
constants[45] = 0.08
constants[46] = 0.89
states[18] = 0.298E-2
constants[47] = 1800
constants[48] = 1.215e13
constants[49] = 576
constants[50] = 4.05e9
constants[51] = 1930
constants[52] = 100
constants[53] = 0.8
states[19] = 0
states[20] = 0
states[21] = 0.47
states[22] = 0.53
constants[54] = 4
constants[55] = 3
states[23] = 0.2616
constants[56] = 0.000168
constants[57] = 3.29
constants[58] = 0.0813
constants[59] = 0.318
constants[60] = 1
constants[61] = 1.2
constants[62] = 1
states[24] = 0.2620
constants[63] = 0.0005747
constants[64] = 0.0267
states[25] = 0.98
states[26] = 0.078
constants[65] = 0.14
constants[66] = 0.07
constants[67] = 20000
constants[68] = 0.066
constants[69] = 40000
constants[70] = 40
constants[71] = 0.0001534
constants[72] = 0.00002584
constants[73] = 0.00000016
constants[74] = 0.0000021
constants[75] = 0.0000000012
constants[76] = 0.00238
constants[77] = 0.00015
constants[78] = 0.8
constants[79] = 0.05
constants[80] = 0
constants[81] = 15
constants[82] = 225000.0
constants[83] = 45000.0
constants[84] = 125000.0
constants[85] = 193500
states[27] = 0.11E-6
states[28] = 0.13E-6
states[29] = 0.25E-3
states[30] = 0.237E-3
states[31] = 1.0
states[32] = 1.0
states[33] = 0.298E-2
constants[86] = 7.0
constants[87] = 125000.0
constants[88] = 10875.0
constants[89] = 0.0534
constants[90] = 0.0534
constants[91] = 0.0267
constants[92] = 0.005
constants[93] = 125000.0
constants[94] = 84500.0
constants[95] = 0.0534
constants[96] = 0.0534
constants[97] = 0.00002584
constants[98] = 0.0000000012
constants[99] = power(constants[12]/4.00000, 1.0/2)
constants[100] = (1.00000/7.00000)*(exp(constants[10]/67.3000)-1.00000)
constants[101] = constants[39]/(constants[39]+constants[38])
return (states, constants)
def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
rates[21] = -constants[48]*(power(states[15], constants[54]))*states[21]+constants[49]*states[19]
rates[19] = (constants[48]*(power(states[15], constants[54]))*states[21]-(constants[49]*states[19]+constants[50]*(power(states[15], constants[55]))*states[19]+constants[52]*states[19]))+constants[51]*states[20]+constants[53]*states[22]
rates[20] = constants[50]*(power(states[15], constants[55]))*states[19]-constants[51]*states[20]
rates[22] = constants[52]*states[19]-constants[53]*states[22]
algebraic[1] = custom_piecewise([less(states[0] , -40.0000), 135.000*exp((80.0000+states[0])/-6.80000) , True, 0.00000])
algebraic[12] = custom_piecewise([less(states[0] , -40.0000), 3560.00*exp(0.0790000*states[0])+310000.*exp(0.350000*states[0]) , True, 1000.00/(0.130000*(1.00000+exp((states[0]+10.6600)/-11.1000)))])
rates[3] = algebraic[1]*(1.00000-states[3])-algebraic[12]*states[3]
algebraic[2] = custom_piecewise([less(states[0] , -40.0000), (1000.00*-(127140.*exp(0.244400*states[0])+3.47400e-05*exp(-0.0439100*states[0]))*(states[0]+37.7800))/(1.00000+exp(0.311000*(states[0]+79.2300))) , True, 0.00000])
algebraic[13] = custom_piecewise([less(states[0] , -40.0000), (121.200*exp(-0.0105200*states[0]))/(1.00000+exp(-0.137800*(states[0]+40.1400))) , True, (300.000*exp(-2.53500e-07*states[0]))/(1.00000+exp(-0.100000*(states[0]+32.0000)))])
rates[4] = algebraic[2]*(1.00000-states[4])-algebraic[13]*states[4]
algebraic[15] = 0.00100000/((7.19000e-05*(states[0]-10.0000))/(1.00000-exp(-0.148000*(states[0]-10.0000)))+(0.000131000*(states[0]-10.0000))/(exp(0.0687000*(states[0]-10.0000))-1.00000))
algebraic[4] = 1.00000/(1.00000+exp(-(states[0]-24.7000)/13.6000))
rates[7] = (algebraic[4]-states[7])/algebraic[15]
algebraic[5] = 45.1600*exp(0.0357700*states[0])
algebraic[16] = 98.9000*exp(-0.0623700*states[0])
rates[8] = algebraic[5]*(1.00000-states[8])-algebraic[16]*states[8]
algebraic[6] = (5.41500*exp(-(states[0]+33.5000)/5.00000))/(1.00000+0.0513350*exp(-(states[0]+33.5000)/5.00000))
algebraic[17] = (5.41500*exp((states[0]+33.5000)/5.00000))/(1.00000+0.0513350*exp((states[0]+33.5000)/5.00000))
rates[9] = algebraic[6]*(1.00000-states[9])-algebraic[17]*states[9]
algebraic[7] = 400.000*exp((states[0]+2.00000)/10.0000)
algebraic[18] = 50.0000*exp(-(states[0]+2.00000)/13.0000)
rates[13] = algebraic[7]*(1.00000-states[13])-algebraic[18]*states[13]
algebraic[9] = 0.800000/(1.00000+exp((states[0]+12.5000)/5.00000))+0.200000
algebraic[20] = (20.0000+600.000/(1.00000+exp((states[0]+20.0000)/9.50000)))/1000.00
rates[17] = (algebraic[9]-states[17])/algebraic[20]
algebraic[0] = states[0]+47.1300
algebraic[11] = custom_piecewise([less(fabs(algebraic[0]) , 1.00000e-05), 320.000/(0.100000-0.00500000*algebraic[0]) , True, (320.000*algebraic[0])/(1.00000-exp(-0.100000*algebraic[0]))])
algebraic[22] = 80.0000*exp(-states[0]/11.0000)
rates[2] = custom_piecewise([greater_equal(states[0] , -90.0000), algebraic[11]*(1.00000-states[2])-algebraic[22]*states[2] , True, 0.00000])
algebraic[8] = (103.750*states[15])/1.00000
algebraic[24] = algebraic[8]*((power(constants[36], 0.00000))*(power(states[13], 0.00000))*(power(1.00000-states[13], 4.00000-0.00000))+(power(constants[36], 1.00000))*(power(states[13], 1.00000))*(power(1.00000-states[13], 4.00000-1.00000))+(power(constants[36], 2.00000))*(power(states[13], 2.00000))*(power(1.00000-states[13], 4.00000-2.00000))+(power(constants[36], 3.00000))*(power(states[13], 3.00000))*(power(1.00000-states[13], 4.00000-3.00000))+(power(constants[36], 4.00000))*(power(states[13], 4.00000))*(power(1.00000-states[13], 4.00000-4.00000))+-((power(constants[36], 4.00000))*(power(states[13], 4.00000))*constants[101]))
algebraic[19] = constants[40]*((power(constants[37], -0.00000))*(power(states[14], 0.00000))*(power(1.00000-states[14], 4.00000-0.00000))+(power(constants[37], -1.00000))*(power(states[14], 1.00000))*(power(1.00000-states[14], 4.00000-1.00000))+(power(constants[37], -2.00000))*(power(states[14], 2.00000))*(power(1.00000-states[14], 4.00000-2.00000))+(power(constants[37], -3.00000))*(power(states[14], 3.00000))*(power(1.00000-states[14], 4.00000-3.00000))+(power(constants[37], -4.00000))*(power(states[14], 4.00000))*(power(1.00000-states[14], 4.00000-4.00000)))
rates[12] = algebraic[19]*(1.00000-states[12])-algebraic[24]*states[12]
algebraic[3] = exp(-5.49500+0.169100*states[0])
algebraic[14] = exp(-7.67700-0.0128000*states[0])
algebraic[23] = algebraic[3]/(algebraic[3]+algebraic[14])
algebraic[27] = 0.00100000/(algebraic[3]+algebraic[14])+constants[13]*0.0270000
rates[6] = (algebraic[23]-states[6])/algebraic[27]
algebraic[25] = algebraic[7]*constants[36]
algebraic[28] = algebraic[18]/constants[37]
rates[14] = algebraic[25]*(1.00000-states[14])-algebraic[28]*states[14]
algebraic[21] = ((constants[0]*constants[1])/constants[2])*log(constants[10]/states[1])
algebraic[26] = constants[9]*(power(states[2], 3.00000))*states[3]*states[4]*(states[0]-algebraic[21])
algebraic[39] = ((constants[21]*5000.00)/((power(constants[20], 3.00000)+power(constants[10], 3.00000))*(constants[19]+constants[24])*(1.00000+constants[22]*exp(((constants[23]-1.00000)*states[0]*constants[2])/(constants[0]*constants[1])))))*(exp((constants[23]*states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[1], 3.00000))*constants[24]-exp(((constants[23]-1.00000)*states[0]*constants[2])/(constants[0]*constants[1]))*(power(constants[10], 3.00000))*states[10])
algebraic[40] = 1.00000/(1.00000+0.124500*exp((-0.100000*states[0]*constants[2])/(constants[0]*constants[1]))+0.0365000*constants[100]*exp((-states[0]*constants[2])/(constants[0]*constants[1])))
algebraic[41] = (((constants[25]*algebraic[40])/(1.00000+power(constants[26]/states[1], 1.50000)))*constants[12])/(constants[12]+constants[27])
algebraic[46] = constants[32]*(states[0]-algebraic[21])
rates[1] = (-0.00000*(algebraic[26]+algebraic[46]+algebraic[39]*3.00000+algebraic[41]*3.00000)*constants[71]*1.00000)/(constants[72]*constants[2])
rates[25] = constants[67]*states[10]*(1.00000-states[25])-constants[68]*states[25]
algebraic[55] = power(states[10]/constants[56], constants[61])
algebraic[56] = power(states[24]/constants[57], constants[62])
algebraic[57] = (constants[60]*(constants[58]*algebraic[55]-constants[59]*algebraic[56]))/(1.00000+algebraic[55]+algebraic[56])
algebraic[58] = (states[11]/constants[30])*algebraic[57]
algebraic[60] = (states[24]-states[23])/constants[63]
rates[24] = (algebraic[58]*constants[72])/constants[74]-(algebraic[60]*constants[73])/constants[74]
algebraic[54] = constants[47]*(states[19]+states[20])*(states[23]-states[15])
algebraic[61] = 1.00000/(1.00000+(constants[81]*constants[78])/(power(constants[78]+states[23], 2.00000)))
rates[23] = algebraic[61]*(algebraic[60]-algebraic[54])
rates[26] = constants[69]*states[10]*(1.00000-states[26])-constants[70]*states[26]
algebraic[48] = 1.00000/(1.00000+power(constants[35]/states[16], 2.60000))
algebraic[47] = (power(states[13], 4.00000))*states[17]*states[12]*(constants[39]/(constants[39]+constants[38]))
algebraic[49] = algebraic[48]*(constants[33]/(1.00000*constants[3]))*((4.00000*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*((0.00100000*exp((constants[2]*states[0])/(constants[0]*constants[1]))-0.340000*constants[24])/(exp((constants[2]*states[0])/(constants[0]*constants[1]))-1.00000))*algebraic[47]
algebraic[59] = (states[15]-states[10])/constants[64]
algebraic[66] = 1.00000/(1.00000+(constants[79]*constants[76])/(power(constants[76]+states[15], 2.00000))+(constants[80]*constants[77])/(power(constants[77]+states[15], 2.00000)))
algebraic[70] = constants[92]-(states[28]+states[33])
algebraic[67] = constants[86]-(states[29]+states[16])
rates[15] = algebraic[66]*(((algebraic[54]*constants[73])/constants[75]+constants[83]*states[29]+constants[85]*states[28])-((algebraic[59]*constants[72])/constants[75]+algebraic[49]*((constants[71]*1.00000)/(2.00000*constants[75]*constants[2]))+constants[82]*states[15]*algebraic[67]+constants[84]*states[15]*algebraic[70]))
algebraic[71] = (states[29]-states[30])/constants[89]
rates[29] = constants[82]*states[15]*algebraic[67]-(algebraic[71]*(constants[97]/constants[98])+constants[83]*states[29])
algebraic[72] = (states[16]-states[11])/constants[90]
rates[16] = constants[87]*states[31]*algebraic[67]-(algebraic[72]*(constants[97]/constants[98])+constants[88]*states[16])
algebraic[68] = constants[86]-(states[30]+states[11])
rates[30] = (algebraic[71]+constants[82]*states[10]*algebraic[68])-constants[83]*states[30]
rates[11] = (algebraic[72]+constants[87]*states[32]*algebraic[68])-constants[88]*states[11]
algebraic[42] = (constants[29]*states[10])/(constants[28]+states[10])
algebraic[43] = (states[11]/constants[30])*algebraic[42]
algebraic[44] = ((constants[0]*constants[1])/(2.00000*constants[2]))*log(constants[24]/states[10])
algebraic[45] = constants[31]*(states[0]-algebraic[44])
algebraic[62] = rates[25]
algebraic[63] = rates[26]
algebraic[64] = constants[65]*algebraic[62]+constants[66]*algebraic[63]
algebraic[65] = 1.00000/(1.00000+(constants[79]*constants[76])/(power(constants[76]+states[10], 2.00000))+(constants[80]*constants[77])/(power(constants[77]+states[10], 2.00000)))
algebraic[74] = constants[92]-(states[27]+states[18])
rates[10] = algebraic[65]*((algebraic[59]-(algebraic[58]+algebraic[64]))+-(((algebraic[43]+algebraic[45])-2.00000*algebraic[39])*((constants[71]*constants[3])/(2.00000*constants[72]*constants[2])))+((constants[83]*states[30]+constants[85]*states[27])-(constants[82]*states[10]*algebraic[68]+constants[84]*states[10]*algebraic[74])))
algebraic[77] = (states[28]-states[27])/constants[95]
rates[28] = constants[84]*states[15]*algebraic[70]-(algebraic[77]*(constants[97]/constants[98])+constants[85]*states[28])
algebraic[78] = (states[33]-states[18])/constants[96]
rates[33] = constants[93]*states[31]*algebraic[70]-(algebraic[78]*(constants[97]/constants[98])+constants[94]*states[33])
rates[27] = (algebraic[77]+constants[84]*states[10]*algebraic[74])-constants[85]*states[27]
rates[18] = (algebraic[78]+constants[93]*states[32]*algebraic[74])-constants[94]*states[18]
algebraic[76] = (states[31]-states[32])/constants[91]
rates[31] = (constants[88]*states[16]+constants[94]*states[33])-(constants[87]*states[31]*algebraic[67]+constants[93]*states[31]*algebraic[70]+algebraic[76]*(constants[97]/constants[98]))
rates[32] = (algebraic[76]+constants[88]*states[11]+constants[94]*states[18])-(constants[87]*states[32]*algebraic[68]+constants[93]*states[32]*algebraic[74])
algebraic[10] = 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[50] = 1.00000*algebraic[48]*(constants[34]/constants[3])*algebraic[47]
algebraic[29] = ((constants[0]*constants[1])/constants[2])*log(constants[12]/states[5])
algebraic[30] = 1.00000/(1.00000+1.49450*exp(0.0446000*states[0]))
algebraic[31] = constants[11]*constants[99]*algebraic[30]*states[6]*(states[0]-algebraic[29])
algebraic[32] = ((constants[0]*constants[1])/constants[2])*log((constants[12]+0.0183300*constants[10])/(states[5]+0.0183300*states[1]))
algebraic[33] = constants[14]*(power(states[7], 2.00000))*(states[0]-algebraic[32])
algebraic[34] = constants[15]*states[8]*states[9]*(states[0]-algebraic[29])
algebraic[35] = 1.00000/(2.00000+exp(((1.50000*constants[2])/(constants[0]*constants[1]))*(states[0]-algebraic[29])))
algebraic[36] = ((constants[16]*algebraic[35]*constants[12])/(constants[12]+constants[17]))*(states[0]-algebraic[29])
algebraic[37] = 1.00000/(1.00000+exp((7.48800-states[0])/5.98000))
algebraic[38] = constants[18]*algebraic[37]*(states[0]-algebraic[29])
algebraic[69] = power(1.00000-algebraic[68]/(algebraic[68]+constants[42]), 4.00000)
algebraic[51] = power(states[18]/(states[18]+constants[43]), 2.00000)
algebraic[52] = 1.00000-algebraic[51]
algebraic[53] = 1.00000-power(algebraic[52], 4.00000)
algebraic[73] = constants[45]*algebraic[69]*(1.00000-algebraic[53])+constants[46]*algebraic[69]*algebraic[53]
algebraic[75] = constants[41]*algebraic[73]*(power(constants[12]/constants[44], 0.240000))
algebraic[79] = algebraic[75]*(states[0]-algebraic[29])
rates[0] = (-1.00000*1.00000*(algebraic[26]+algebraic[49]+algebraic[50]+algebraic[31]+algebraic[33]+algebraic[34]+algebraic[36]+algebraic[38]+algebraic[39]+algebraic[41]+algebraic[43]+algebraic[46]+algebraic[45]+algebraic[79]+algebraic[10]))/constants[3]
rates[5] = (-0.00000*(algebraic[50]+algebraic[31]+algebraic[33]+algebraic[36]+algebraic[38]+algebraic[34]+algebraic[79]+algebraic[41]*-2.00000)*constants[71]*1.00000)/(constants[72]*constants[2])
return(rates)
def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
algebraic[1] = custom_piecewise([less(states[0] , -40.0000), 135.000*exp((80.0000+states[0])/-6.80000) , True, 0.00000])
algebraic[12] = custom_piecewise([less(states[0] , -40.0000), 3560.00*exp(0.0790000*states[0])+310000.*exp(0.350000*states[0]) , True, 1000.00/(0.130000*(1.00000+exp((states[0]+10.6600)/-11.1000)))])
algebraic[2] = custom_piecewise([less(states[0] , -40.0000), (1000.00*-(127140.*exp(0.244400*states[0])+3.47400e-05*exp(-0.0439100*states[0]))*(states[0]+37.7800))/(1.00000+exp(0.311000*(states[0]+79.2300))) , True, 0.00000])
algebraic[13] = custom_piecewise([less(states[0] , -40.0000), (121.200*exp(-0.0105200*states[0]))/(1.00000+exp(-0.137800*(states[0]+40.1400))) , True, (300.000*exp(-2.53500e-07*states[0]))/(1.00000+exp(-0.100000*(states[0]+32.0000)))])
algebraic[15] = 0.00100000/((7.19000e-05*(states[0]-10.0000))/(1.00000-exp(-0.148000*(states[0]-10.0000)))+(0.000131000*(states[0]-10.0000))/(exp(0.0687000*(states[0]-10.0000))-1.00000))
algebraic[4] = 1.00000/(1.00000+exp(-(states[0]-24.7000)/13.6000))
algebraic[5] = 45.1600*exp(0.0357700*states[0])
algebraic[16] = 98.9000*exp(-0.0623700*states[0])
algebraic[6] = (5.41500*exp(-(states[0]+33.5000)/5.00000))/(1.00000+0.0513350*exp(-(states[0]+33.5000)/5.00000))
algebraic[17] = (5.41500*exp((states[0]+33.5000)/5.00000))/(1.00000+0.0513350*exp((states[0]+33.5000)/5.00000))
algebraic[7] = 400.000*exp((states[0]+2.00000)/10.0000)
algebraic[18] = 50.0000*exp(-(states[0]+2.00000)/13.0000)
algebraic[9] = 0.800000/(1.00000+exp((states[0]+12.5000)/5.00000))+0.200000
algebraic[20] = (20.0000+600.000/(1.00000+exp((states[0]+20.0000)/9.50000)))/1000.00
algebraic[0] = states[0]+47.1300
algebraic[11] = custom_piecewise([less(fabs(algebraic[0]) , 1.00000e-05), 320.000/(0.100000-0.00500000*algebraic[0]) , True, (320.000*algebraic[0])/(1.00000-exp(-0.100000*algebraic[0]))])
algebraic[22] = 80.0000*exp(-states[0]/11.0000)
algebraic[8] = (103.750*states[15])/1.00000
algebraic[24] = algebraic[8]*((power(constants[36], 0.00000))*(power(states[13], 0.00000))*(power(1.00000-states[13], 4.00000-0.00000))+(power(constants[36], 1.00000))*(power(states[13], 1.00000))*(power(1.00000-states[13], 4.00000-1.00000))+(power(constants[36], 2.00000))*(power(states[13], 2.00000))*(power(1.00000-states[13], 4.00000-2.00000))+(power(constants[36], 3.00000))*(power(states[13], 3.00000))*(power(1.00000-states[13], 4.00000-3.00000))+(power(constants[36], 4.00000))*(power(states[13], 4.00000))*(power(1.00000-states[13], 4.00000-4.00000))+-((power(constants[36], 4.00000))*(power(states[13], 4.00000))*constants[101]))
algebraic[19] = constants[40]*((power(constants[37], -0.00000))*(power(states[14], 0.00000))*(power(1.00000-states[14], 4.00000-0.00000))+(power(constants[37], -1.00000))*(power(states[14], 1.00000))*(power(1.00000-states[14], 4.00000-1.00000))+(power(constants[37], -2.00000))*(power(states[14], 2.00000))*(power(1.00000-states[14], 4.00000-2.00000))+(power(constants[37], -3.00000))*(power(states[14], 3.00000))*(power(1.00000-states[14], 4.00000-3.00000))+(power(constants[37], -4.00000))*(power(states[14], 4.00000))*(power(1.00000-states[14], 4.00000-4.00000)))
algebraic[3] = exp(-5.49500+0.169100*states[0])
algebraic[14] = exp(-7.67700-0.0128000*states[0])
algebraic[23] = algebraic[3]/(algebraic[3]+algebraic[14])
algebraic[27] = 0.00100000/(algebraic[3]+algebraic[14])+constants[13]*0.0270000
algebraic[25] = algebraic[7]*constants[36]
algebraic[28] = algebraic[18]/constants[37]
algebraic[21] = ((constants[0]*constants[1])/constants[2])*log(constants[10]/states[1])
algebraic[26] = constants[9]*(power(states[2], 3.00000))*states[3]*states[4]*(states[0]-algebraic[21])
algebraic[39] = ((constants[21]*5000.00)/((power(constants[20], 3.00000)+power(constants[10], 3.00000))*(constants[19]+constants[24])*(1.00000+constants[22]*exp(((constants[23]-1.00000)*states[0]*constants[2])/(constants[0]*constants[1])))))*(exp((constants[23]*states[0]*constants[2])/(constants[0]*constants[1]))*(power(states[1], 3.00000))*constants[24]-exp(((constants[23]-1.00000)*states[0]*constants[2])/(constants[0]*constants[1]))*(power(constants[10], 3.00000))*states[10])
algebraic[40] = 1.00000/(1.00000+0.124500*exp((-0.100000*states[0]*constants[2])/(constants[0]*constants[1]))+0.0365000*constants[100]*exp((-states[0]*constants[2])/(constants[0]*constants[1])))
algebraic[41] = (((constants[25]*algebraic[40])/(1.00000+power(constants[26]/states[1], 1.50000)))*constants[12])/(constants[12]+constants[27])
algebraic[46] = constants[32]*(states[0]-algebraic[21])
algebraic[55] = power(states[10]/constants[56], constants[61])
algebraic[56] = power(states[24]/constants[57], constants[62])
algebraic[57] = (constants[60]*(constants[58]*algebraic[55]-constants[59]*algebraic[56]))/(1.00000+algebraic[55]+algebraic[56])
algebraic[58] = (states[11]/constants[30])*algebraic[57]
algebraic[60] = (states[24]-states[23])/constants[63]
algebraic[54] = constants[47]*(states[19]+states[20])*(states[23]-states[15])
algebraic[61] = 1.00000/(1.00000+(constants[81]*constants[78])/(power(constants[78]+states[23], 2.00000)))
algebraic[48] = 1.00000/(1.00000+power(constants[35]/states[16], 2.60000))
algebraic[47] = (power(states[13], 4.00000))*states[17]*states[12]*(constants[39]/(constants[39]+constants[38]))
algebraic[49] = algebraic[48]*(constants[33]/(1.00000*constants[3]))*((4.00000*states[0]*(power(constants[2], 2.00000)))/(constants[0]*constants[1]))*((0.00100000*exp((constants[2]*states[0])/(constants[0]*constants[1]))-0.340000*constants[24])/(exp((constants[2]*states[0])/(constants[0]*constants[1]))-1.00000))*algebraic[47]
algebraic[59] = (states[15]-states[10])/constants[64]
algebraic[66] = 1.00000/(1.00000+(constants[79]*constants[76])/(power(constants[76]+states[15], 2.00000))+(constants[80]*constants[77])/(power(constants[77]+states[15], 2.00000)))
algebraic[70] = constants[92]-(states[28]+states[33])
algebraic[67] = constants[86]-(states[29]+states[16])
algebraic[71] = (states[29]-states[30])/constants[89]
algebraic[72] = (states[16]-states[11])/constants[90]
algebraic[68] = constants[86]-(states[30]+states[11])
algebraic[42] = (constants[29]*states[10])/(constants[28]+states[10])
algebraic[43] = (states[11]/constants[30])*algebraic[42]
algebraic[44] = ((constants[0]*constants[1])/(2.00000*constants[2]))*log(constants[24]/states[10])
algebraic[45] = constants[31]*(states[0]-algebraic[44])
algebraic[62] = rates[25]
algebraic[63] = rates[26]
algebraic[64] = constants[65]*algebraic[62]+constants[66]*algebraic[63]
algebraic[65] = 1.00000/(1.00000+(constants[79]*constants[76])/(power(constants[76]+states[10], 2.00000))+(constants[80]*constants[77])/(power(constants[77]+states[10], 2.00000)))
algebraic[74] = constants[92]-(states[27]+states[18])
algebraic[77] = (states[28]-states[27])/constants[95]
algebraic[78] = (states[33]-states[18])/constants[96]
algebraic[76] = (states[31]-states[32])/constants[91]
algebraic[10] = 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[50] = 1.00000*algebraic[48]*(constants[34]/constants[3])*algebraic[47]
algebraic[29] = ((constants[0]*constants[1])/constants[2])*log(constants[12]/states[5])
algebraic[30] = 1.00000/(1.00000+1.49450*exp(0.0446000*states[0]))
algebraic[31] = constants[11]*constants[99]*algebraic[30]*states[6]*(states[0]-algebraic[29])
algebraic[32] = ((constants[0]*constants[1])/constants[2])*log((constants[12]+0.0183300*constants[10])/(states[5]+0.0183300*states[1]))
algebraic[33] = constants[14]*(power(states[7], 2.00000))*(states[0]-algebraic[32])
algebraic[34] = constants[15]*states[8]*states[9]*(states[0]-algebraic[29])
algebraic[35] = 1.00000/(2.00000+exp(((1.50000*constants[2])/(constants[0]*constants[1]))*(states[0]-algebraic[29])))
algebraic[36] = ((constants[16]*algebraic[35]*constants[12])/(constants[12]+constants[17]))*(states[0]-algebraic[29])
algebraic[37] = 1.00000/(1.00000+exp((7.48800-states[0])/5.98000))
algebraic[38] = constants[18]*algebraic[37]*(states[0]-algebraic[29])
algebraic[69] = power(1.00000-algebraic[68]/(algebraic[68]+constants[42]), 4.00000)
algebraic[51] = power(states[18]/(states[18]+constants[43]), 2.00000)
algebraic[52] = 1.00000-algebraic[51]
algebraic[53] = 1.00000-power(algebraic[52], 4.00000)
algebraic[73] = constants[45]*algebraic[69]*(1.00000-algebraic[53])+constants[46]*algebraic[69]*algebraic[53]
algebraic[75] = constants[41]*algebraic[73]*(power(constants[12]/constants[44], 0.240000))
algebraic[79] = algebraic[75]*(states[0]-algebraic[29])
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)