# Size of variable arrays:
sizeAlgebraic = 52
sizeStates = 18
sizeConstants = 52
from math import *
from numpy import *

def createLegends():
    legend_states = [""] * sizeStates
    legend_rates = [""] * sizeStates
    legend_algebraic = [""] * sizeAlgebraic
    legend_voi = ""
    legend_constants = [""] * sizeConstants
    legend_voi = "time in component environment (second)"
    legend_constants[0] = "q_ATP_init in component environment (fmol)"
    legend_constants[1] = "q_AC_init in component environment (fmol)"
    legend_constants[2] = "q_cAMP_init in component environment (fmol)"
    legend_constants[3] = "q_AC_ATP_init in component environment (fmol)"
    legend_constants[4] = "q_FSK_init in component environment (fmol)"
    legend_constants[5] = "q_FSK_AC_init in component environment (fmol)"
    legend_constants[6] = "q_FSK_AC_ATP_init in component environment (fmol)"
    legend_constants[7] = "q_Gsa_GTP_init in component environment (fmol)"
    legend_constants[8] = "q_Gsa_GTP_AC_init in component environment (fmol)"
    legend_constants[9] = "q_Gsa_GTP_AC_ATP_init in component environment (fmol)"
    legend_constants[10] = "q_PDE_init in component environment (fmol)"
    legend_constants[11] = "q_PDEinh_init in component environment (fmol)"
    legend_constants[12] = "q_PDE_cAMP_init in component environment (fmol)"
    legend_constants[13] = "q_IBMX_init in component environment (fmol)"
    legend_constants[14] = "q_five_AMP_init in component environment (fmol)"
    legend_constants[15] = "q_Gia_GTP_init in component environment (fmol)"
    legend_constants[16] = "q_ACinh_init in component environment (fmol)"
    legend_constants[17] = "q_PPi_init in component environment (fmol)"
    legend_algebraic[8] = "ATP_T in component cAMP (fmol)"
    legend_algebraic[9] = "AC_T in component cAMP (fmol)"
    legend_algebraic[17] = "Gs_T in component cAMP (fmol)"
    legend_algebraic[12] = "cAMP_T in component cAMP (fmol)"
    legend_algebraic[0] = "q_ATP in component environment (fmol)"
    legend_algebraic[1] = "q_cAMP in component environment (fmol)"
    legend_algebraic[2] = "q_AC in component environment (fmol)"
    legend_algebraic[3] = "q_AC_ATP in component environment (fmol)"
    legend_algebraic[4] = "q_Gsa_GTP_AC in component environment (fmol)"
    legend_algebraic[5] = "q_Gsa_GTP_AC_ATP in component environment (fmol)"
    legend_algebraic[6] = "q_FSK_AC in component environment (fmol)"
    legend_algebraic[7] = "q_FSK_AC_ATP in component environment (fmol)"
    legend_algebraic[10] = "q_PDE in component environment (fmol)"
    legend_algebraic[11] = "q_PDE_cAMP in component environment (fmol)"
    legend_algebraic[13] = "q_five_AMP in component environment (fmol)"
    legend_algebraic[14] = "q_IBMX in component environment (fmol)"
    legend_algebraic[15] = "q_PDEinh in component environment (fmol)"
    legend_algebraic[16] = "q_Gsa_GTP in component environment (fmol)"
    legend_algebraic[18] = "q_FSK in component environment (fmol)"
    legend_algebraic[19] = "q_Gia_GTP in component environment (fmol)"
    legend_algebraic[20] = "q_ACinh in component environment (fmol)"
    legend_algebraic[21] = "q_PPi in component environment (fmol)"
    legend_states[0] = "q_ATP in component cAMP (fmol)"
    legend_states[1] = "q_cAMP in component cAMP (fmol)"
    legend_states[2] = "q_AC in component cAMP (fmol)"
    legend_states[3] = "q_AC_ATP in component cAMP (fmol)"
    legend_states[4] = "q_Gsa_GTP_AC in component cAMP (fmol)"
    legend_states[5] = "q_Gsa_GTP_AC_ATP in component cAMP (fmol)"
    legend_states[6] = "q_FSK_AC in component cAMP (fmol)"
    legend_states[7] = "q_FSK_AC_ATP in component cAMP (fmol)"
    legend_states[8] = "q_PDE in component cAMP (fmol)"
    legend_states[9] = "q_PDE_cAMP in component cAMP (fmol)"
    legend_states[10] = "q_five_AMP in component cAMP (fmol)"
    legend_states[11] = "q_IBMX in component cAMP (fmol)"
    legend_states[12] = "q_PDEinh in component cAMP (fmol)"
    legend_states[13] = "q_Gsa_GTP in component cAMP (fmol)"
    legend_states[14] = "q_FSK in component cAMP (fmol)"
    legend_states[15] = "q_Gia_GTP in component cAMP (fmol)"
    legend_states[16] = "q_ACinh in component cAMP (fmol)"
    legend_states[17] = "q_PPi in component cAMP (fmol)"
    legend_constants[18] = "kappa_1a in component cAMP_parameters (fmol_per_sec)"
    legend_constants[19] = "kappa_1b in component cAMP_parameters (fmol_per_sec)"
    legend_constants[20] = "kappa_2a in component cAMP_parameters (fmol_per_sec)"
    legend_constants[21] = "kappa_2b in component cAMP_parameters (fmol_per_sec)"
    legend_constants[22] = "kappa_3a in component cAMP_parameters (fmol_per_sec)"
    legend_constants[23] = "kappa_3b in component cAMP_parameters (fmol_per_sec)"
    legend_constants[24] = "kappa_4a in component cAMP_parameters (fmol_per_sec)"
    legend_constants[25] = "kappa_4b in component cAMP_parameters (fmol_per_sec)"
    legend_constants[26] = "kappa_5 in component cAMP_parameters (fmol_per_sec)"
    legend_constants[27] = "kappa_6 in component cAMP_parameters (fmol_per_sec)"
    legend_constants[28] = "kappa_7 in component cAMP_parameters (fmol_per_sec)"
    legend_constants[29] = "kappa_GiAC in component cAMP_parameters (fmol_per_sec)"
    legend_constants[30] = "K_ATP in component cAMP_parameters (per_fmol)"
    legend_constants[31] = "K_cAMP in component cAMP_parameters (per_fmol)"
    legend_constants[32] = "K_AC in component cAMP_parameters (per_fmol)"
    legend_constants[33] = "K_AC_ATP in component cAMP_parameters (per_fmol)"
    legend_constants[34] = "K_Gsa_GTP_AC in component cAMP_parameters (per_fmol)"
    legend_constants[35] = "K_Gsa_GTP_AC_ATP in component cAMP_parameters (per_fmol)"
    legend_constants[36] = "K_FSK_AC in component cAMP_parameters (per_fmol)"
    legend_constants[37] = "K_FSK_AC_ATP in component cAMP_parameters (per_fmol)"
    legend_constants[38] = "K_PDE in component cAMP_parameters (per_fmol)"
    legend_constants[39] = "K_PDE_cAMP in component cAMP_parameters (per_fmol)"
    legend_constants[40] = "K_five_AMP in component cAMP_parameters (per_fmol)"
    legend_constants[41] = "K_IBMX in component cAMP_parameters (per_fmol)"
    legend_constants[42] = "K_PDEinh in component cAMP_parameters (per_fmol)"
    legend_constants[43] = "K_Gsa_GTP in component cAMP_parameters (per_fmol)"
    legend_constants[44] = "K_FSK in component cAMP_parameters (per_fmol)"
    legend_constants[45] = "K_Gia_GTP in component cAMP_parameters (per_fmol)"
    legend_constants[46] = "K_ACinh in component cAMP_parameters (per_fmol)"
    legend_constants[47] = "K_PPi in component cAMP_parameters (per_fmol)"
    legend_constants[48] = "R in component constants (J_per_K_per_mol)"
    legend_constants[49] = "T in component constants (kelvin)"
    legend_algebraic[40] = "v1a in component cAMP (fmol_per_sec)"
    legend_algebraic[41] = "v1b in component cAMP (fmol_per_sec)"
    legend_algebraic[42] = "v2a in component cAMP (fmol_per_sec)"
    legend_algebraic[43] = "v2b in component cAMP (fmol_per_sec)"
    legend_algebraic[44] = "v3a in component cAMP (fmol_per_sec)"
    legend_algebraic[45] = "v3b in component cAMP (fmol_per_sec)"
    legend_algebraic[46] = "v4a in component cAMP (fmol_per_sec)"
    legend_algebraic[48] = "v4b in component cAMP (fmol_per_sec)"
    legend_algebraic[50] = "v5 in component cAMP (fmol_per_sec)"
    legend_algebraic[47] = "v6 in component cAMP (fmol_per_sec)"
    legend_algebraic[49] = "v7 in component cAMP (fmol_per_sec)"
    legend_algebraic[51] = "vGiAC in component cAMP (fmol_per_sec)"
    legend_algebraic[22] = "mu_ATP in component cAMP (J_per_mol)"
    legend_algebraic[24] = "mu_AC in component cAMP (J_per_mol)"
    legend_algebraic[23] = "mu_cAMP in component cAMP (J_per_mol)"
    legend_algebraic[25] = "mu_AC_ATP in component cAMP (J_per_mol)"
    legend_algebraic[36] = "mu_FSK in component cAMP (J_per_mol)"
    legend_algebraic[28] = "mu_FSK_AC in component cAMP (J_per_mol)"
    legend_algebraic[29] = "mu_FSK_AC_ATP in component cAMP (J_per_mol)"
    legend_algebraic[35] = "mu_Gsa_GTP in component cAMP (J_per_mol)"
    legend_algebraic[26] = "mu_Gsa_GTP_AC in component cAMP (J_per_mol)"
    legend_algebraic[27] = "mu_Gsa_GTP_AC_ATP in component cAMP (J_per_mol)"
    legend_algebraic[30] = "mu_PDE in component cAMP (J_per_mol)"
    legend_algebraic[34] = "mu_PDEinh in component cAMP (J_per_mol)"
    legend_algebraic[31] = "mu_PDE_cAMP in component cAMP (J_per_mol)"
    legend_algebraic[33] = "mu_IBMX in component cAMP (J_per_mol)"
    legend_algebraic[32] = "mu_five_AMP in component cAMP (J_per_mol)"
    legend_algebraic[37] = "mu_Gia_GTP in component cAMP (J_per_mol)"
    legend_algebraic[38] = "mu_ACinh in component cAMP (J_per_mol)"
    legend_algebraic[39] = "mu_PPi in component cAMP (J_per_mol)"
    legend_constants[50] = "vol in component cAMP (pL)"
    legend_constants[51] = "F in component constants (C_per_mol)"
    legend_rates[0] = "d/dt q_ATP in component cAMP (fmol)"
    legend_rates[2] = "d/dt q_AC in component cAMP (fmol)"
    legend_rates[3] = "d/dt q_AC_ATP in component cAMP (fmol)"
    legend_rates[1] = "d/dt q_cAMP in component cAMP (fmol)"
    legend_rates[14] = "d/dt q_FSK in component cAMP (fmol)"
    legend_rates[6] = "d/dt q_FSK_AC in component cAMP (fmol)"
    legend_rates[7] = "d/dt q_FSK_AC_ATP in component cAMP (fmol)"
    legend_rates[13] = "d/dt q_Gsa_GTP in component cAMP (fmol)"
    legend_rates[4] = "d/dt q_Gsa_GTP_AC in component cAMP (fmol)"
    legend_rates[5] = "d/dt q_Gsa_GTP_AC_ATP in component cAMP (fmol)"
    legend_rates[9] = "d/dt q_PDE_cAMP in component cAMP (fmol)"
    legend_rates[8] = "d/dt q_PDE in component cAMP (fmol)"
    legend_rates[11] = "d/dt q_IBMX in component cAMP (fmol)"
    legend_rates[12] = "d/dt q_PDEinh in component cAMP (fmol)"
    legend_rates[10] = "d/dt q_five_AMP in component cAMP (fmol)"
    legend_rates[15] = "d/dt q_Gia_GTP in component cAMP (fmol)"
    legend_rates[16] = "d/dt q_ACinh in component cAMP (fmol)"
    legend_rates[17] = "d/dt q_PPi in component cAMP (fmol)"
    return (legend_states, legend_algebraic, legend_voi, legend_constants)

def initConsts():
    constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
    constants[0] = 190
    constants[1] = 1.889E-03
    constants[2] = 3.212E-02
    constants[3] = 1e-18
    constants[4] = 3.8e-5
    constants[5] = 1e-18
    constants[6] = 1e-18
    constants[7] = 9.519E-04
    constants[8] = 1e-18
    constants[9] = 1e-18
    constants[10] = 1.482E-03
    constants[11] = 1e-18
    constants[12] = 1e-18
    constants[13] = 3.80E-06
    constants[14] = 1e-18
    constants[15] = 4.81E-04
    constants[16] = 1e-18
    constants[17] = 1e-18
    states[0] = 1e-16
    states[1] = 1e-16
    states[2] = 1e-16
    states[3] = 1e-16
    states[4] = 1e-16
    states[5] = 1e-16
    states[6] = 1e-16
    states[7] = 1e-16
    states[8] = 1e-16
    states[9] = 1e-16
    states[10] = 1e-16
    states[11] = 1e-16
    states[12] = 1e-16
    states[13] = 1e-16
    states[14] = 1e-16
    states[15] = 1e-16
    states[16] = 1e-16
    states[17] = 1e-16
    constants[18] = 9.47329e+06
    constants[19] = 0.00197793
    constants[20] = 176000
    constants[21] = 0.047492
    constants[22] = 5.07667e+08
    constants[23] = 5.9031e-17
    constants[24] = 36084.5
    constants[25] = 0.138787
    constants[26] = 751.564
    constants[27] = 556.617
    constants[28] = 160555
    constants[29] = 685.521
    constants[30] = 9.19362e-06
    constants[31] = 0.0102598
    constants[32] = 9.02358
    constants[33] = 2.93942
    constants[34] = 52.2258
    constants[35] = 5.20284
    constants[36] = 0.181058
    constants[37] = 0.0492449
    constants[38] = 2.28256
    constants[39] = 1.04728
    constants[40] = 0.0102598
    constants[41] = 0.01642
    constants[42] = 38.679
    constants[43] = 0.420618
    constants[44] = 1.32565e-05
    constants[45] = 0.013661
    constants[46] = 42.4053
    constants[47] = 2.60488e-05
    constants[48] = 8.31
    constants[49] = 310
    constants[50] = 38.0
    constants[51] = 96485
    return (states, constants)

def computeRates(voi, states, constants):
    rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
    algebraic[0] = states[0]+constants[0]
    algebraic[22] = constants[48]*constants[49]*log(constants[30]*algebraic[0])
    algebraic[2] = states[2]+constants[1]
    algebraic[24] = constants[48]*constants[49]*log(constants[32]*algebraic[2])
    algebraic[3] = states[3]+constants[3]
    algebraic[25] = constants[48]*constants[49]*log(constants[33]*algebraic[3])
    algebraic[40] = constants[18]*(exp((algebraic[24]+algebraic[22])/(constants[48]*constants[49]))-exp(algebraic[25]/(constants[48]*constants[49])))
    algebraic[1] = states[1]+constants[2]
    algebraic[23] = constants[48]*constants[49]*log(constants[31]*algebraic[1])
    algebraic[21] = states[17]+constants[17]
    algebraic[39] = constants[48]*constants[49]*log(constants[47]*algebraic[21])
    algebraic[41] = constants[19]*(exp(algebraic[25]/(constants[48]*constants[49]))-exp((algebraic[24]+algebraic[23]+algebraic[39])/(constants[48]*constants[49])))
    rates[3] = algebraic[40]-algebraic[41]
    algebraic[4] = states[4]+constants[8]
    algebraic[26] = constants[48]*constants[49]*log(constants[34]*algebraic[4])
    algebraic[5] = states[5]+constants[9]
    algebraic[27] = constants[48]*constants[49]*log(constants[35]*algebraic[5])
    algebraic[42] = constants[20]*(exp((algebraic[26]+algebraic[22])/(constants[48]*constants[49]))-exp(algebraic[27]/(constants[48]*constants[49])))
    algebraic[43] = constants[21]*(exp(algebraic[27]/(constants[48]*constants[49]))-exp((algebraic[26]+algebraic[23]+algebraic[39])/(constants[48]*constants[49])))
    rates[5] = algebraic[42]-algebraic[43]
    algebraic[6] = states[6]+constants[5]
    algebraic[28] = constants[48]*constants[49]*log(constants[36]*algebraic[6])
    algebraic[7] = states[7]+constants[6]
    algebraic[29] = constants[48]*constants[49]*log(constants[37]*algebraic[7])
    algebraic[44] = constants[22]*(exp((algebraic[28]+algebraic[22])/(constants[48]*constants[49]))-exp(algebraic[29]/(constants[48]*constants[49])))
    rates[0] = (-algebraic[40]-algebraic[44])-algebraic[42]
    algebraic[45] = constants[23]*(exp(algebraic[29]/(constants[48]*constants[49]))-exp((algebraic[28]+algebraic[23]+algebraic[39])/(constants[48]*constants[49])))
    rates[7] = algebraic[44]-algebraic[45]
    algebraic[10] = states[8]+constants[10]
    algebraic[30] = constants[48]*constants[49]*log(constants[38]*algebraic[10])
    algebraic[11] = states[9]+constants[12]
    algebraic[31] = constants[48]*constants[49]*log(constants[39]*algebraic[11])
    algebraic[46] = constants[24]*(exp((algebraic[30]+algebraic[23])/(constants[48]*constants[49]))-exp(algebraic[31]/(constants[48]*constants[49])))
    rates[1] = (algebraic[41]+algebraic[45]+algebraic[43])-algebraic[46]
    algebraic[16] = states[13]+constants[7]
    algebraic[35] = constants[48]*constants[49]*log(constants[43]*algebraic[16])
    algebraic[47] = constants[27]*(exp((algebraic[24]+algebraic[35])/(constants[48]*constants[49]))-exp(algebraic[26]/(constants[48]*constants[49])))
    rates[13] = -algebraic[47]
    rates[4] = (algebraic[47]-algebraic[42])+algebraic[43]
    algebraic[18] = states[14]+constants[4]
    algebraic[36] = constants[48]*constants[49]*log(constants[44]*algebraic[18])
    algebraic[49] = constants[28]*(exp((algebraic[36]+algebraic[24])/(constants[48]*constants[49]))-exp(algebraic[28]/(constants[48]*constants[49])))
    rates[14] = -algebraic[49]
    rates[6] = (algebraic[49]+algebraic[45])-algebraic[44]
    algebraic[13] = states[10]+constants[14]
    algebraic[32] = constants[48]*constants[49]*log(constants[40]*algebraic[13])
    algebraic[48] = constants[25]*(exp(algebraic[31]/(constants[48]*constants[49]))-exp((algebraic[30]+algebraic[32])/(constants[48]*constants[49])))
    rates[9] = algebraic[46]-algebraic[48]
    rates[10] = algebraic[48]
    algebraic[19] = states[15]+constants[15]
    algebraic[37] = constants[48]*constants[49]*log(constants[45]*algebraic[19])
    algebraic[20] = states[16]+constants[16]
    algebraic[38] = constants[48]*constants[49]*log(constants[46]*algebraic[20])
    algebraic[51] = constants[29]*(exp((algebraic[24]+algebraic[37])/(constants[48]*constants[49]))-exp(algebraic[38]/(constants[48]*constants[49])))
    rates[2] = (((algebraic[41]-algebraic[40])-algebraic[47])-algebraic[49])-algebraic[51]
    algebraic[15] = states[12]+constants[11]
    algebraic[34] = constants[48]*constants[49]*log(constants[42]*algebraic[15])
    algebraic[14] = states[11]+constants[13]
    algebraic[33] = constants[48]*constants[49]*log(constants[41]*algebraic[14])
    algebraic[50] = constants[26]*(exp((algebraic[30]+algebraic[33])/(constants[48]*constants[49]))-exp(algebraic[34]/(constants[48]*constants[49])))
    rates[8] = (algebraic[48]-algebraic[46])-algebraic[50]
    rates[11] = -algebraic[50]
    rates[12] = algebraic[50]
    rates[15] = -algebraic[51]
    rates[16] = algebraic[51]
    rates[17] = algebraic[51]
    return(rates)

def computeAlgebraic(constants, states, voi):
    algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
    states = array(states)
    voi = array(voi)
    algebraic[0] = states[0]+constants[0]
    algebraic[22] = constants[48]*constants[49]*log(constants[30]*algebraic[0])
    algebraic[2] = states[2]+constants[1]
    algebraic[24] = constants[48]*constants[49]*log(constants[32]*algebraic[2])
    algebraic[3] = states[3]+constants[3]
    algebraic[25] = constants[48]*constants[49]*log(constants[33]*algebraic[3])
    algebraic[40] = constants[18]*(exp((algebraic[24]+algebraic[22])/(constants[48]*constants[49]))-exp(algebraic[25]/(constants[48]*constants[49])))
    algebraic[1] = states[1]+constants[2]
    algebraic[23] = constants[48]*constants[49]*log(constants[31]*algebraic[1])
    algebraic[21] = states[17]+constants[17]
    algebraic[39] = constants[48]*constants[49]*log(constants[47]*algebraic[21])
    algebraic[41] = constants[19]*(exp(algebraic[25]/(constants[48]*constants[49]))-exp((algebraic[24]+algebraic[23]+algebraic[39])/(constants[48]*constants[49])))
    algebraic[4] = states[4]+constants[8]
    algebraic[26] = constants[48]*constants[49]*log(constants[34]*algebraic[4])
    algebraic[5] = states[5]+constants[9]
    algebraic[27] = constants[48]*constants[49]*log(constants[35]*algebraic[5])
    algebraic[42] = constants[20]*(exp((algebraic[26]+algebraic[22])/(constants[48]*constants[49]))-exp(algebraic[27]/(constants[48]*constants[49])))
    algebraic[43] = constants[21]*(exp(algebraic[27]/(constants[48]*constants[49]))-exp((algebraic[26]+algebraic[23]+algebraic[39])/(constants[48]*constants[49])))
    algebraic[6] = states[6]+constants[5]
    algebraic[28] = constants[48]*constants[49]*log(constants[36]*algebraic[6])
    algebraic[7] = states[7]+constants[6]
    algebraic[29] = constants[48]*constants[49]*log(constants[37]*algebraic[7])
    algebraic[44] = constants[22]*(exp((algebraic[28]+algebraic[22])/(constants[48]*constants[49]))-exp(algebraic[29]/(constants[48]*constants[49])))
    algebraic[45] = constants[23]*(exp(algebraic[29]/(constants[48]*constants[49]))-exp((algebraic[28]+algebraic[23]+algebraic[39])/(constants[48]*constants[49])))
    algebraic[10] = states[8]+constants[10]
    algebraic[30] = constants[48]*constants[49]*log(constants[38]*algebraic[10])
    algebraic[11] = states[9]+constants[12]
    algebraic[31] = constants[48]*constants[49]*log(constants[39]*algebraic[11])
    algebraic[46] = constants[24]*(exp((algebraic[30]+algebraic[23])/(constants[48]*constants[49]))-exp(algebraic[31]/(constants[48]*constants[49])))
    algebraic[16] = states[13]+constants[7]
    algebraic[35] = constants[48]*constants[49]*log(constants[43]*algebraic[16])
    algebraic[47] = constants[27]*(exp((algebraic[24]+algebraic[35])/(constants[48]*constants[49]))-exp(algebraic[26]/(constants[48]*constants[49])))
    algebraic[18] = states[14]+constants[4]
    algebraic[36] = constants[48]*constants[49]*log(constants[44]*algebraic[18])
    algebraic[49] = constants[28]*(exp((algebraic[36]+algebraic[24])/(constants[48]*constants[49]))-exp(algebraic[28]/(constants[48]*constants[49])))
    algebraic[13] = states[10]+constants[14]
    algebraic[32] = constants[48]*constants[49]*log(constants[40]*algebraic[13])
    algebraic[48] = constants[25]*(exp(algebraic[31]/(constants[48]*constants[49]))-exp((algebraic[30]+algebraic[32])/(constants[48]*constants[49])))
    algebraic[19] = states[15]+constants[15]
    algebraic[37] = constants[48]*constants[49]*log(constants[45]*algebraic[19])
    algebraic[20] = states[16]+constants[16]
    algebraic[38] = constants[48]*constants[49]*log(constants[46]*algebraic[20])
    algebraic[51] = constants[29]*(exp((algebraic[24]+algebraic[37])/(constants[48]*constants[49]))-exp(algebraic[38]/(constants[48]*constants[49])))
    algebraic[15] = states[12]+constants[11]
    algebraic[34] = constants[48]*constants[49]*log(constants[42]*algebraic[15])
    algebraic[14] = states[11]+constants[13]
    algebraic[33] = constants[48]*constants[49]*log(constants[41]*algebraic[14])
    algebraic[50] = constants[26]*(exp((algebraic[30]+algebraic[33])/(constants[48]*constants[49]))-exp(algebraic[34]/(constants[48]*constants[49])))
    algebraic[8] = algebraic[0]+algebraic[3]+algebraic[7]+algebraic[5]
    algebraic[9] = algebraic[2]+algebraic[3]+algebraic[6]+algebraic[7]+algebraic[4]+algebraic[5]
    algebraic[12] = algebraic[1]+algebraic[11]+states[10]
    algebraic[17] = algebraic[16]+algebraic[4]+algebraic[5]
    return algebraic

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)