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 = 32
sizeStates = 24
sizeConstants = 142
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 (minute)"
legend_constants[0] = "k_rel_TPI in component parameters (dimensionless)"
legend_constants[1] = "k_rel_GAPDH in component parameters (dimensionless)"
legend_constants[2] = "SUMAXP in component parameters (mM)"
legend_constants[3] = "CO2 in component extracellular (mM)"
legend_constants[4] = "ETOH in component extracellular (mM)"
legend_constants[5] = "SUCC in component extracellular (mM)"
legend_constants[6] = "GLY in component extracellular (mM)"
legend_constants[7] = "GLCo in component extracellular (mM)"
legend_constants[8] = "cytoplasm in component cytoplasm (liter)"
legend_states[0] = "P in component cytoplasm (mM)"
legend_states[1] = "G6P in component cytoplasm (mM)"
legend_states[2] = "F6P in component cytoplasm (mM)"
legend_states[3] = "F16P in component cytoplasm (mM)"
legend_states[4] = "NADH in component cytoplasm (mM)"
legend_states[5] = "NAD in component cytoplasm (mM)"
legend_states[6] = "BPG in component cytoplasm (mM)"
legend_states[7] = "P3G in component cytoplasm (mM)"
legend_states[8] = "P2G in component cytoplasm (mM)"
legend_states[9] = "PEP in component cytoplasm (mM)"
legend_states[10] = "PYR in component cytoplasm (mM)"
legend_states[11] = "ACE in component cytoplasm (mM)"
legend_constants[9] = "X in component cytoplasm (mM)"
legend_states[12] = "GA3P in component cytoplasm (mM)"
legend_states[13] = "DHAP in component cytoplasm (mM)"
legend_states[14] = "D6PGluconoLactone in component cytoplasm (mM)"
legend_states[15] = "D6PGluconate in component cytoplasm (mM)"
legend_states[16] = "NADP in component cytoplasm (mM)"
legend_states[17] = "NADPH in component cytoplasm (mM)"
legend_states[18] = "Ribulose5P in component cytoplasm (mM)"
legend_states[19] = "Ribose5P in component cytoplasm (mM)"
legend_states[20] = "Xyl5P in component cytoplasm (mM)"
legend_states[21] = "Seduhept7P in component cytoplasm (mM)"
legend_states[22] = "Erythrose4P in component cytoplasm (mM)"
legend_states[23] = "GLCi in component cytoplasm (mM)"
legend_constants[10] = "F26BP in component cytoplasm (mM)"
legend_algebraic[0] = "vGLK in component vGLK (mmol_per_min)"
legend_algebraic[2] = "vPGI in component vPGI (mmol_per_min)"
legend_algebraic[10] = "vPFK in component vPFK (mmol_per_min)"
legend_algebraic[11] = "vALD in component vALD (mmol_per_min)"
legend_algebraic[12] = "vG3PDH in component vG3PDH (mmol_per_min)"
legend_algebraic[13] = "vGAPDH in component vGAPDH (mmol_per_min)"
legend_algebraic[14] = "vPGK in component vPGK (mmol_per_min)"
legend_algebraic[16] = "vPGM in component vPGM (mmol_per_min)"
legend_algebraic[18] = "vENO in component vENO (mmol_per_min)"
legend_algebraic[20] = "vPYK in component vPYK (mmol_per_min)"
legend_algebraic[22] = "vPDC in component vPDC (mmol_per_min)"
legend_algebraic[26] = "vSUC in component vSUC (mmol_per_min)"
legend_algebraic[28] = "vADH in component vADH (mmol_per_min)"
legend_algebraic[23] = "vATP in component vATP (mmol_per_min)"
legend_algebraic[15] = "vTPI in component vTPI (mmol_per_min)"
legend_algebraic[17] = "vG6PDH in component vG6PDH (mmol_per_min)"
legend_algebraic[19] = "v6PGL in component v6PGL (mmol_per_min)"
legend_algebraic[21] = "vGluDH in component vGluDH (mmol_per_min)"
legend_algebraic[24] = "vPPI in component vPPI (mmol_per_min)"
legend_algebraic[27] = "vTransk1 in component vTransk1 (mmol_per_min)"
legend_algebraic[29] = "vR5PI in component vR5PI (mmol_per_min)"
legend_algebraic[30] = "vTransald in component vTransald (mmol_per_min)"
legend_algebraic[31] = "vTransk2 in component vTransk2 (mmol_per_min)"
legend_algebraic[25] = "vNADPH in component vNADPH (mmol_per_min)"
legend_algebraic[3] = "vGLT in component vGLT (mmol_per_min)"
legend_algebraic[1] = "ratio_NADPH_NADP in component rules (dimensionless)"
legend_constants[11] = "VmGLK in component vGLK (mM_per_min)"
legend_constants[12] = "KeqAK in component vGLK (dimensionless)"
legend_constants[13] = "KeqGLK in component vGLK (dimensionless)"
legend_constants[14] = "KmGLKATP in component vGLK (mM)"
legend_constants[15] = "KmGLKGLCi in component vGLK (mM)"
legend_constants[16] = "KmGLKG6P in component vGLK (mM)"
legend_constants[17] = "KmGLKADP in component vGLK (mM)"
legend_constants[18] = "VmPGI in component vPGI (mM_per_min)"
legend_constants[19] = "KmPGIG6P in component vPGI (mM)"
legend_constants[20] = "KeqPGI in component vPGI (dimensionless)"
legend_constants[21] = "KmPGIF6P in component vPGI (mM)"
legend_algebraic[4] = "numerator1 in component vPFK (mmol_mM2_per_minute)"
legend_algebraic[5] = "numerator2 in component vPFK (dimensionless)"
legend_algebraic[9] = "denominator in component vPFK (mM2)"
legend_algebraic[6] = "denom1 in component vPFK (dimensionless)"
legend_algebraic[7] = "denom2 in component vPFK (dimensionless)"
legend_algebraic[8] = "denom3 in component vPFK (dimensionless)"
legend_constants[22] = "gR in component vPFK (dimensionless)"
legend_constants[23] = "VmPFK in component vPFK (mM_per_min)"
legend_constants[24] = "KeqAK in component vPFK (dimensionless)"
legend_constants[25] = "KmPFKF6P in component vPFK (mM)"
legend_constants[26] = "KmPFKATP in component vPFK (mM)"
legend_constants[27] = "L0 in component vPFK (dimensionless)"
legend_constants[28] = "CPFKF26BP in component vPFK (dimensionless)"
legend_constants[29] = "KPFKF26BP in component vPFK (mM)"
legend_constants[30] = "CPFKF16BP in component vPFK (dimensionless)"
legend_constants[31] = "KPFKF16BP in component vPFK (mM)"
legend_constants[32] = "CPFKAMP in component vPFK (dimensionless)"
legend_constants[33] = "KPFKAMP in component vPFK (mM)"
legend_constants[34] = "CiPFKATP in component vPFK (dimensionless)"
legend_constants[35] = "KiPFKATP in component vPFK (mM)"
legend_constants[36] = "CPFKATP in component vPFK (dimensionless)"
legend_constants[37] = "VmALD in component vALD (mM_per_min)"
legend_constants[38] = "KeqTPI in component vALD (dimensionless)"
legend_constants[39] = "KeqALD in component vALD (mM)"
legend_constants[40] = "KmALDF16P in component vALD (mM)"
legend_constants[41] = "KmALDDHAP in component vALD (mM)"
legend_constants[42] = "KmALDGAP in component vALD (mM)"
legend_constants[43] = "KmALDGAPi in component vALD (mM)"
legend_constants[44] = "VmG3PDH in component vG3PDH (mM_per_min)"
legend_constants[45] = "KeqG3PDH in component vG3PDH (dimensionless)"
legend_constants[46] = "KeqTPI in component vG3PDH (dimensionless)"
legend_constants[47] = "KmG3PDHDHAP in component vG3PDH (mM)"
legend_constants[48] = "KmG3PDHNADH in component vG3PDH (mM)"
legend_constants[49] = "KmG3PDHNAD in component vG3PDH (mM)"
legend_constants[50] = "KmG3PDHGLY in component vG3PDH (mM)"
legend_constants[51] = "VmGAPDHr in component vGAPDH (mM_per_min)"
legend_constants[52] = "KmGAPDHBPG in component vGAPDH (mM)"
legend_constants[53] = "KmGAPDHNADH in component vGAPDH (mM)"
legend_constants[54] = "KeqTPI in component vGAPDH (dimensionless)"
legend_constants[55] = "VmGAPDHf in component vGAPDH (mM_per_min)"
legend_constants[56] = "KmGAPDHGAP in component vGAPDH (mM)"
legend_constants[57] = "KmGAPDHNAD in component vGAPDH (mM)"
legend_constants[58] = "KeqGAPDH in component vGAPDH (dimensionless)"
legend_constants[59] = "VmPGK in component vPGK (mM_per_min)"
legend_constants[60] = "KeqPGK in component vPGK (dimensionless)"
legend_constants[61] = "KeqAK in component vPGK (dimensionless)"
legend_constants[62] = "KmPGKATP in component vPGK (mM)"
legend_constants[63] = "KmPGKP3G in component vPGK (mM)"
legend_constants[64] = "KmPGKADP in component vPGK (mM)"
legend_constants[65] = "KmPGKBPG in component vPGK (mM)"
legend_constants[66] = "VmPGM in component vPGM (mM_per_min)"
legend_constants[67] = "KmPGMP3G in component vPGM (mM)"
legend_constants[68] = "KeqPGM in component vPGM (dimensionless)"
legend_constants[69] = "KmPGMP2G in component vPGM (mM)"
legend_constants[70] = "VmENO in component vENO (mM_per_min)"
legend_constants[71] = "KmENOP2G in component vENO (mM)"
legend_constants[72] = "KeqENO in component vENO (dimensionless)"
legend_constants[73] = "KmENOPEP in component vENO (mM)"
legend_constants[74] = "VmPYK in component vPYK (mM_per_min)"
legend_constants[75] = "KmPYKPEP in component vPYK (mM)"
legend_constants[76] = "KmPYKADP in component vPYK (mM)"
legend_constants[77] = "KeqAK in component vPYK (dimensionless)"
legend_constants[78] = "KeqPYK in component vPYK (dimensionless)"
legend_constants[79] = "KmPYKPYR in component vPYK (mM)"
legend_constants[80] = "KmPYKATP in component vPYK (mM)"
legend_constants[81] = "VmPDC in component vPDC (mM_per_min)"
legend_constants[82] = "nPDC in component vPDC (dimensionless)"
legend_constants[83] = "KmPDCPYR in component vPDC (mM)"
legend_constants[84] = "KSUCC in component vSUC (per_min)"
legend_constants[85] = "VmADH in component vADH (mM_per_min)"
legend_constants[86] = "KiADHNAD in component vADH (mM)"
legend_constants[87] = "KmADHETOH in component vADH (mM)"
legend_constants[88] = "KeqADH in component vADH (dimensionless)"
legend_constants[89] = "KmADHNAD in component vADH (mM)"
legend_constants[90] = "KmADHNADH in component vADH (mM)"
legend_constants[91] = "KiADHNADH in component vADH (mM)"
legend_constants[92] = "KmADHACE in component vADH (mM)"
legend_constants[93] = "KiADHACE in component vADH (mM)"
legend_constants[94] = "KiADHETOH in component vADH (mM)"
legend_constants[95] = "KATPASE in component vATP (per_min)"
legend_constants[96] = "KeqAK in component vATP (dimensionless)"
legend_constants[97] = "KmGA3P in component vTPI (mM)"
legend_constants[98] = "KmDHAP in component vTPI (mM)"
legend_constants[99] = "VmDHAP in component vTPI (mM_per_min)"
legend_constants[100] = "VmGA3P in component vTPI (mM_per_min)"
legend_constants[101] = "VmG6PDH in component vG6PDH (mM_per_min)"
legend_constants[102] = "KmG6P in component vG6PDH (mM)"
legend_constants[103] = "KmNADP in component vG6PDH (mM)"
legend_constants[104] = "KiNADPH in component vG6PDH (mM)"
legend_constants[105] = "Vm6PGL in component v6PGL (mM_per_min)"
legend_constants[106] = "Km6PGL in component v6PGL (mM)"
legend_constants[107] = "VmGluDH in component vGluDH (mM_per_min)"
legend_constants[108] = "KmGluconate in component vGluDH (mM)"
legend_constants[109] = "KmNADP in component vGluDH (mM)"
legend_constants[110] = "KiNADPH in component vGluDH (mM)"
legend_constants[111] = "VmPPIf in component vPPI (mM_per_min)"
legend_constants[112] = "VmPPIr in component vPPI (mM_per_min)"
legend_constants[113] = "KmRibu5P in component vPPI (mM)"
legend_constants[114] = "KmRibo5P in component vPPI (mM)"
legend_constants[115] = "VmTransk1f in component vTransk1 (mM_per_min)"
legend_constants[116] = "VmTransk1r in component vTransk1 (mM_per_min)"
legend_constants[117] = "KmRibose5P in component vTransk1 (mM)"
legend_constants[118] = "KmXyl5P in component vTransk1 (mM)"
legend_constants[119] = "KmGA3P in component vTransk1 (mM)"
legend_constants[120] = "KmSeduhept in component vTransk1 (mM)"
legend_constants[121] = "VmR5PIf in component vR5PI (mM_per_min)"
legend_constants[122] = "VmR5PIr in component vR5PI (mM_per_min)"
legend_constants[123] = "KmRibu5P in component vR5PI (mM)"
legend_constants[124] = "KmXyl in component vR5PI (mM)"
legend_constants[125] = "VmTransaldf in component vTransald (mM_per_min)"
legend_constants[126] = "VmTransaldr in component vTransald (mM_per_min)"
legend_constants[127] = "KmGA3P in component vTransald (mM)"
legend_constants[128] = "KmSeduhept in component vTransald (mM)"
legend_constants[129] = "KmF6P in component vTransald (mM)"
legend_constants[130] = "KmEry4P in component vTransald (mM)"
legend_constants[131] = "VmTransk2f in component vTransk2 (mM_per_min)"
legend_constants[132] = "VmTransk2r in component vTransk2 (mM_per_min)"
legend_constants[133] = "KmXyl5P in component vTransk2 (mM)"
legend_constants[134] = "KmEry4P in component vTransk2 (mM)"
legend_constants[135] = "KmF6P in component vTransk2 (mM)"
legend_constants[136] = "KmGA3P in component vTransk2 (mM)"
legend_constants[137] = "kNADPH in component vNADPH (per_min)"
legend_constants[138] = "VmGLT in component vGLT (mM_per_min)"
legend_constants[139] = "KeqGLT in component vGLT (dimensionless)"
legend_constants[140] = "KmGLTGLCo in component vGLT (mM)"
legend_constants[141] = "KmGLTGLCi in component vGLT (mM)"
legend_rates[0] = "d/dt P in component cytoplasm (mM)"
legend_rates[1] = "d/dt G6P in component cytoplasm (mM)"
legend_rates[2] = "d/dt F6P in component cytoplasm (mM)"
legend_rates[3] = "d/dt F16P in component cytoplasm (mM)"
legend_rates[4] = "d/dt NADH in component cytoplasm (mM)"
legend_rates[5] = "d/dt NAD in component cytoplasm (mM)"
legend_rates[6] = "d/dt BPG in component cytoplasm (mM)"
legend_rates[7] = "d/dt P3G in component cytoplasm (mM)"
legend_rates[8] = "d/dt P2G in component cytoplasm (mM)"
legend_rates[9] = "d/dt PEP in component cytoplasm (mM)"
legend_rates[10] = "d/dt PYR in component cytoplasm (mM)"
legend_rates[11] = "d/dt ACE in component cytoplasm (mM)"
legend_rates[12] = "d/dt GA3P in component cytoplasm (mM)"
legend_rates[13] = "d/dt DHAP in component cytoplasm (mM)"
legend_rates[14] = "d/dt D6PGluconoLactone in component cytoplasm (mM)"
legend_rates[15] = "d/dt D6PGluconate in component cytoplasm (mM)"
legend_rates[16] = "d/dt NADP in component cytoplasm (mM)"
legend_rates[17] = "d/dt NADPH in component cytoplasm (mM)"
legend_rates[18] = "d/dt Ribulose5P in component cytoplasm (mM)"
legend_rates[19] = "d/dt Ribose5P in component cytoplasm (mM)"
legend_rates[20] = "d/dt Xyl5P in component cytoplasm (mM)"
legend_rates[21] = "d/dt Seduhept7P in component cytoplasm (mM)"
legend_rates[22] = "d/dt Erythrose4P in component cytoplasm (mM)"
legend_rates[23] = "d/dt GLCi in component cytoplasm (mM)"
return (legend_states, legend_algebraic, legend_voi, legend_constants)
def initConsts():
constants = [0.0] * sizeConstants; states = [0.0] * sizeStates;
constants[0] = 1
constants[1] = 1
constants[2] = 4.1
constants[3] = 1
constants[4] = 50
constants[5] = 0.1
constants[6] = 0.15
constants[7] = 50
constants[8] = 1
states[0] = 5
states[1] = 1.39
states[2] = 0.28
states[3] = 0.1
states[4] = 0.39
states[5] = 1.2
states[6] = 0.1
states[7] = 0.1
states[8] = 0.1
states[9] = 0.1
states[10] = 3.36
states[11] = 0.04
constants[9] = 0.1
states[12] = 0.05
states[13] = 1
states[14] = 0.1
states[15] = 0.1
states[16] = 0.4
states[17] = 1.6
states[18] = 0.1
states[19] = 0.1
states[20] = 0.1
states[21] = 0.1
states[22] = 0
states[23] = 0.087
constants[10] = 0.02
constants[11] = 226.452
constants[12] = 0.45
constants[13] = 3800
constants[14] = 0.15
constants[15] = 0.08
constants[16] = 30
constants[17] = 0.23
constants[18] = 339.677
constants[19] = 1.4
constants[20] = 0.314
constants[21] = 0.3
constants[22] = 5.12
constants[23] = 182.903
constants[24] = 0.45
constants[25] = 0.1
constants[26] = 0.71
constants[27] = 0.66
constants[28] = 0.0174
constants[29] = 0.000682
constants[30] = 0.397
constants[31] = 0.111
constants[32] = 0.0845
constants[33] = 0.0995
constants[34] = 100
constants[35] = 0.65
constants[36] = 3
constants[37] = 322.258
constants[38] = 0.045
constants[39] = 0.069
constants[40] = 0.3
constants[41] = 2.4
constants[42] = 2
constants[43] = 10
constants[44] = 70.15
constants[45] = 4300
constants[46] = 0.045
constants[47] = 0.4
constants[48] = 0.023
constants[49] = 0.93
constants[50] = 1
constants[51] = 6549.68
constants[52] = 0.0098
constants[53] = 0.06
constants[54] = 0.045
constants[55] = 1184.52
constants[56] = 0.21
constants[57] = 0.09
constants[58] = 0.005
constants[59] = 1306.45
constants[60] = 3200
constants[61] = 0.45
constants[62] = 0.3
constants[63] = 0.53
constants[64] = 0.2
constants[65] = 0.003
constants[66] = 2525.81
constants[67] = 1.2
constants[68] = 0.19
constants[69] = 0.08
constants[70] = 365.806
constants[71] = 0.04
constants[72] = 6.7
constants[73] = 0.5
constants[74] = 1088.71
constants[75] = 0.14
constants[76] = 0.53
constants[77] = 0.45
constants[78] = 6500
constants[79] = 21
constants[80] = 1.5
constants[81] = 174.194
constants[82] = 1.9
constants[83] = 4.33
constants[84] = 21.4
constants[85] = 810
constants[86] = 0.92
constants[87] = 17
constants[88] = 6.9e-5
constants[89] = 0.17
constants[90] = 0.11
constants[91] = 0.031
constants[92] = 1.11
constants[93] = 1.1
constants[94] = 90
constants[95] = 39.5
constants[96] = 0.45
constants[97] = 1.27
constants[98] = 1.23
constants[99] = 10900
constants[100] = 555
constants[101] = 4
constants[102] = 0.04
constants[103] = 0.02
constants[104] = 0.017
constants[105] = 4
constants[106] = 0.8
constants[107] = 4
constants[108] = 0.02
constants[109] = 0.03
constants[110] = 0.03
constants[111] = 3458
constants[112] = 3458
constants[113] = 1.6
constants[114] = 1.6
constants[115] = 4
constants[116] = 2
constants[117] = 0.1
constants[118] = 0.15
constants[119] = 0.1
constants[120] = 0.15
constants[121] = 1039
constants[122] = 1039
constants[123] = 1.5
constants[124] = 1.5
constants[125] = 55
constants[126] = 10
constants[127] = 0.22
constants[128] = 0.18
constants[129] = 0.32
constants[130] = 0.018
constants[131] = 3.2
constants[132] = 43
constants[133] = 0.16
constants[134] = 0.09
constants[135] = 1.1
constants[136] = 2.1
constants[137] = 2
constants[138] = 97.264
constants[139] = 1
constants[140] = 1.1918
constants[141] = 1.1918
return (states, constants)
def computeRates(voi, states, constants):
rates = [0.0] * sizeStates; algebraic = [0.0] * sizeAlgebraic
algebraic[0] = (constants[8]*constants[11]*((-states[1]*(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[12]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[12]*(power(states[0], 2.00000)), 1.0/2)))/((1.00000-4.00000*constants[12])*constants[13])+(states[23]*(((-constants[2]+states[0])-4.00000*constants[12]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[12]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[12]*(power(states[0], 2.00000)), 1.0/2)))/(2.00000-8.00000*constants[12])))/(constants[14]*constants[15]*(1.00000+states[1]/constants[16]+states[23]/constants[15])*(1.00000+(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[12]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[12]*(power(states[0], 2.00000)), 1.0/2))/((1.00000-4.00000*constants[12])*constants[17])+(((-constants[2]+states[0])-4.00000*constants[12]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[12]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[12]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[12])*constants[14])))
algebraic[3] = (constants[8]*constants[138]*(constants[7]-states[23]/constants[139]))/(constants[140]*(1.00000+constants[7]/constants[140]+states[23]/constants[141]+(0.910000*constants[7]*states[23])/(constants[141]*constants[140])))
rates[23] = (algebraic[3]-algebraic[0])/constants[8]
algebraic[4] = constants[8]*constants[22]*constants[23]*states[2]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))
algebraic[5] = 1.00000+states[2]/constants[25]+(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[24])*constants[26])+(constants[22]*states[2]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2)))/((2.00000-8.00000*constants[24])*constants[26]*constants[25])
algebraic[6] = (power(1.00000+(constants[28]*constants[10])/constants[29]+(constants[30]*states[3])/constants[31], 2.00000))*(power(1.00000+(2.00000*constants[32]*constants[24]*(power(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2), 2.00000)))/((-1.00000+4.00000*constants[24])*constants[33]*(((constants[2]-states[0])+4.00000*constants[24]*states[0])-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))), 2.00000))
algebraic[7] = (power(1.00000+(constants[34]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2)))/((2.00000-8.00000*constants[24])*constants[35]), 2.00000))*(power(1.00000+(constants[36]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2)))/((2.00000-8.00000*constants[24])*constants[26]), 2.00000))
algebraic[8] = (power(1.00000+constants[10]/constants[29]+states[3]/constants[31], 2.00000))*(power(1.00000+(2.00000*constants[24]*(power(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2), 2.00000)))/((-1.00000+4.00000*constants[24])*constants[33]*(((constants[2]-states[0])+4.00000*constants[24]*states[0])-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))), 2.00000))*(power(1.00000+(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[24])*constants[35]), 2.00000))
algebraic[9] = (2.00000-8.00000*constants[24])*constants[26]*constants[25]*((constants[27]*algebraic[6]*algebraic[7])/algebraic[8]+power(1.00000+states[2]/constants[25]+(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[24])*constants[26])+(constants[22]*states[2]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2)))/((2.00000-8.00000*constants[24])*constants[26]*constants[25]), 2.00000))
algebraic[10] = (algebraic[4]*algebraic[5])/algebraic[9]
algebraic[11] = (((constants[8]*constants[37]*states[3])/constants[40])*(1.00000-(states[13]*states[12])/(states[3]*constants[39])))/(1.00000+states[3]/constants[40]+states[13]/constants[41]+states[12]/constants[42]+(states[3]*states[12])/(constants[40]*constants[43])+(states[13]*states[12])/(constants[41]*constants[42]))
rates[3] = (algebraic[10]-algebraic[11])/constants[8]
algebraic[13] = (((constants[8]*constants[1]*constants[55]*states[12]*states[5])/(constants[56]*constants[57]))*(1.00000-(states[6]*states[4])/(states[12]*states[5]*constants[58])))/((1.00000+states[12]/constants[56]+states[6]/constants[52])*(1.00000+states[5]/constants[57]+states[4]/constants[53]))
algebraic[14] = (1.00000*constants[8]*constants[59]*((constants[60]*states[6]*(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[61]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[61]*(power(states[0], 2.00000)), 1.0/2)))/(1.00000-4.00000*constants[61])-((((-constants[2]+states[0])-4.00000*constants[61]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[61]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[61]*(power(states[0], 2.00000)), 1.0/2))*states[7])/(2.00000-8.00000*constants[61])))/(constants[62]*constants[63]*(1.00000+(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[61]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[61]*(power(states[0], 2.00000)), 1.0/2))/((1.00000-4.00000*constants[61])*constants[64])+(((-constants[2]+states[0])-4.00000*constants[61]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[61]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[61]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[61])*constants[62]))*(1.00000+states[6]/constants[65]+states[7]/constants[63]))
rates[6] = (algebraic[13]-algebraic[14])/constants[8]
algebraic[12] = (constants[8]*constants[44]*((-constants[6]*states[5])/constants[45]+(states[4]*states[13])/(1.00000+constants[46])))/(constants[47]*constants[48]*(1.00000+states[5]/constants[49]+states[4]/constants[48])*(1.00000+constants[6]/constants[50]+states[13]/((1.00000+constants[46])*constants[47])))
algebraic[15] = (constants[8]*constants[0]*((constants[99]*states[12])/constants[97]-(constants[100]*states[13])/constants[98]))/(1.00000+states[12]/constants[97]+states[13]/constants[98])
rates[13] = ((algebraic[11]-algebraic[12])+algebraic[15])/constants[8]
algebraic[2] = (((constants[8]*constants[18])/constants[19])*(states[1]-states[2]/constants[20]))/(1.00000+states[1]/constants[19]+states[2]/constants[21])
algebraic[17] = ((constants[8]*constants[101]*states[1]*states[16])/(constants[102]*constants[103]))/((1.00000+states[1]/constants[102]+states[17]/constants[104])*(1.00000+states[16]/constants[103]))
rates[1] = ((algebraic[0]-algebraic[2])-algebraic[17])/constants[8]
algebraic[16] = (((constants[8]*constants[66])/constants[67])*(states[7]-states[8]/constants[68]))/(1.00000+states[7]/constants[67]+states[8]/constants[69])
rates[7] = (algebraic[14]-algebraic[16])/constants[8]
algebraic[18] = (((constants[8]*constants[70])/constants[71])*(states[8]-states[9]/constants[72]))/(1.00000+states[8]/constants[71]+states[9]/constants[73])
rates[8] = (algebraic[16]-algebraic[18])/constants[8]
algebraic[19] = (constants[8]*constants[105]*states[14])/(constants[106]+states[14])
rates[14] = (algebraic[17]-algebraic[19])/constants[8]
algebraic[20] = (((constants[8]*constants[74])/(constants[75]*constants[76]))*((states[9]*(constants[2]-power(((power(states[0], 2.00000)-4.00000*constants[77]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[77]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2)))/(1.00000-4.00000*constants[77])-((states[10]*(((states[0]-4.00000*constants[77]*states[0])-constants[2])+power(((power(states[0], 2.00000)-4.00000*constants[77]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[77]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2)))/(2.00000-8.00000*constants[77]))/constants[78]))/((1.00000+states[9]/constants[75]+states[10]/constants[79])*(1.00000+((((states[0]-4.00000*constants[77]*states[0])-constants[2])+power(((power(states[0], 2.00000)-4.00000*constants[77]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[77]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2))/(2.00000-8.00000*constants[77]))/constants[80]+((constants[2]-power(((power(states[0], 2.00000)-4.00000*constants[77]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[77]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2))/(1.00000-4.00000*constants[77]))/constants[76]))
rates[9] = (algebraic[18]-algebraic[20])/constants[8]
algebraic[21] = ((constants[8]*constants[107]*states[15]*states[16])/(constants[108]*constants[109]))/((1.00000+states[15]/constants[108]+states[17]/constants[110])*(1.00000+states[16]/constants[109]))
rates[15] = (algebraic[19]-algebraic[21])/constants[8]
algebraic[23] = (constants[8]*constants[95]*(((states[0]-4.00000*constants[96]*states[0])-constants[2])+power(((power(states[0], 2.00000)-4.00000*constants[96]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[96]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2)))/(2.00000-8.00000*constants[96])
rates[0] = (((algebraic[14]-(algebraic[0]+algebraic[10]))+algebraic[20])-algebraic[23])/constants[8]
algebraic[22] = ((constants[8]*constants[81]*(power(states[10], constants[82])))/(power(constants[83], constants[82])))/(1.00000+(power(states[10], constants[82]))/(power(constants[83], constants[82])))
rates[10] = (algebraic[20]-algebraic[22])/constants[8]
algebraic[25] = constants[8]*constants[137]*states[17]
rates[16] = (algebraic[25]-(algebraic[17]+algebraic[21]))/constants[8]
rates[17] = ((algebraic[17]+algebraic[21])-algebraic[25])/constants[8]
algebraic[24] = (constants[8]*((constants[111]*states[18])/constants[113]-(constants[112]*states[19])/constants[114]))/(1.00000+states[18]/constants[113]+states[19]/constants[114])
algebraic[27] = (constants[8]*((constants[115]*states[19]*states[20])/(constants[117]*constants[118])-(constants[116]*states[12]*states[21])/(constants[119]*constants[120])))/((1.00000+states[19]/constants[117]+states[12]/constants[119])*(1.00000+states[20]/constants[118]+states[21]/constants[120]))
rates[19] = (algebraic[24]-algebraic[27])/constants[8]
algebraic[26] = constants[8]*constants[84]*states[11]
algebraic[28] = (((constants[8]*-constants[85])/(constants[86]*constants[87]))*(states[5]*constants[4]-(states[4]*states[11])/constants[88]))/(1.00000+states[5]/constants[86]+(constants[89]*constants[4])/(constants[86]*constants[87])+(constants[90]*states[11])/(constants[91]*constants[92])+states[4]/constants[91]+(states[5]*constants[4])/(constants[86]*constants[87])+(constants[90]*states[5]*states[11])/(constants[86]*constants[91]*constants[92])+(constants[89]*constants[4]*states[4])/(constants[86]*constants[87]*constants[91])+(states[4]*states[11])/(constants[91]*constants[92])+(states[5]*constants[4]*states[11])/(constants[86]*constants[87]*constants[93])+(constants[4]*states[4]*states[11])/(constants[94]*constants[91]*constants[92]))
rates[4] = (((algebraic[13]-algebraic[12])+3.00000*algebraic[26])-algebraic[28])/constants[8]
rates[5] = (((algebraic[12]-algebraic[13])-3.00000*algebraic[26])+algebraic[28])/constants[8]
rates[11] = ((algebraic[22]-2.00000*algebraic[26])-algebraic[28])/constants[8]
algebraic[29] = (constants[8]*((constants[121]*states[18])/constants[123]-(constants[122]*states[20])/constants[124]))/(1.00000+states[18]/constants[123]+states[20]/constants[124])
rates[18] = ((algebraic[21]-algebraic[24])-algebraic[29])/constants[8]
algebraic[30] = (constants[8]*((constants[125]*states[12]*states[21])/(constants[127]*constants[128])-(constants[126]*states[2]*states[22])/(constants[129]*constants[130])))/((1.00000+states[12]/constants[127]+states[2]/constants[129])*(1.00000+states[21]/constants[128]+states[22]/constants[130]))
rates[21] = (algebraic[27]-algebraic[30])/constants[8]
algebraic[31] = (constants[8]*((constants[131]*states[22]*states[20])/(constants[134]*constants[133])-(constants[132]*states[2]*states[12])/(constants[135]*constants[136])))/((1.00000+states[20]/constants[133]+states[12]/constants[136])*(1.00000+states[22]/constants[134]+states[2]/constants[135]))
rates[2] = ((algebraic[2]-algebraic[10])+algebraic[30]+algebraic[31])/constants[8]
rates[12] = (((((algebraic[11]-algebraic[13])-algebraic[15])+algebraic[27])-algebraic[30])+algebraic[31])/constants[8]
rates[20] = ((algebraic[29]-algebraic[27])-algebraic[31])/constants[8]
rates[22] = (algebraic[30]-algebraic[31])/constants[8]
return(rates)
def computeAlgebraic(constants, states, voi):
algebraic = array([[0.0] * len(voi)] * sizeAlgebraic)
states = array(states)
voi = array(voi)
algebraic[0] = (constants[8]*constants[11]*((-states[1]*(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[12]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[12]*(power(states[0], 2.00000)), 1.0/2)))/((1.00000-4.00000*constants[12])*constants[13])+(states[23]*(((-constants[2]+states[0])-4.00000*constants[12]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[12]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[12]*(power(states[0], 2.00000)), 1.0/2)))/(2.00000-8.00000*constants[12])))/(constants[14]*constants[15]*(1.00000+states[1]/constants[16]+states[23]/constants[15])*(1.00000+(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[12]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[12]*(power(states[0], 2.00000)), 1.0/2))/((1.00000-4.00000*constants[12])*constants[17])+(((-constants[2]+states[0])-4.00000*constants[12]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[12]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[12]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[12])*constants[14])))
algebraic[3] = (constants[8]*constants[138]*(constants[7]-states[23]/constants[139]))/(constants[140]*(1.00000+constants[7]/constants[140]+states[23]/constants[141]+(0.910000*constants[7]*states[23])/(constants[141]*constants[140])))
algebraic[4] = constants[8]*constants[22]*constants[23]*states[2]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))
algebraic[5] = 1.00000+states[2]/constants[25]+(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[24])*constants[26])+(constants[22]*states[2]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2)))/((2.00000-8.00000*constants[24])*constants[26]*constants[25])
algebraic[6] = (power(1.00000+(constants[28]*constants[10])/constants[29]+(constants[30]*states[3])/constants[31], 2.00000))*(power(1.00000+(2.00000*constants[32]*constants[24]*(power(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2), 2.00000)))/((-1.00000+4.00000*constants[24])*constants[33]*(((constants[2]-states[0])+4.00000*constants[24]*states[0])-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))), 2.00000))
algebraic[7] = (power(1.00000+(constants[34]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2)))/((2.00000-8.00000*constants[24])*constants[35]), 2.00000))*(power(1.00000+(constants[36]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2)))/((2.00000-8.00000*constants[24])*constants[26]), 2.00000))
algebraic[8] = (power(1.00000+constants[10]/constants[29]+states[3]/constants[31], 2.00000))*(power(1.00000+(2.00000*constants[24]*(power(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2), 2.00000)))/((-1.00000+4.00000*constants[24])*constants[33]*(((constants[2]-states[0])+4.00000*constants[24]*states[0])-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))), 2.00000))*(power(1.00000+(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[24])*constants[35]), 2.00000))
algebraic[9] = (2.00000-8.00000*constants[24])*constants[26]*constants[25]*((constants[27]*algebraic[6]*algebraic[7])/algebraic[8]+power(1.00000+states[2]/constants[25]+(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[24])*constants[26])+(constants[22]*states[2]*(((-constants[2]+states[0])-4.00000*constants[24]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[24]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[24]*(power(states[0], 2.00000)), 1.0/2)))/((2.00000-8.00000*constants[24])*constants[26]*constants[25]), 2.00000))
algebraic[10] = (algebraic[4]*algebraic[5])/algebraic[9]
algebraic[11] = (((constants[8]*constants[37]*states[3])/constants[40])*(1.00000-(states[13]*states[12])/(states[3]*constants[39])))/(1.00000+states[3]/constants[40]+states[13]/constants[41]+states[12]/constants[42]+(states[3]*states[12])/(constants[40]*constants[43])+(states[13]*states[12])/(constants[41]*constants[42]))
algebraic[13] = (((constants[8]*constants[1]*constants[55]*states[12]*states[5])/(constants[56]*constants[57]))*(1.00000-(states[6]*states[4])/(states[12]*states[5]*constants[58])))/((1.00000+states[12]/constants[56]+states[6]/constants[52])*(1.00000+states[5]/constants[57]+states[4]/constants[53]))
algebraic[14] = (1.00000*constants[8]*constants[59]*((constants[60]*states[6]*(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[61]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[61]*(power(states[0], 2.00000)), 1.0/2)))/(1.00000-4.00000*constants[61])-((((-constants[2]+states[0])-4.00000*constants[61]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[61]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[61]*(power(states[0], 2.00000)), 1.0/2))*states[7])/(2.00000-8.00000*constants[61])))/(constants[62]*constants[63]*(1.00000+(constants[2]-power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[61]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[61]*(power(states[0], 2.00000)), 1.0/2))/((1.00000-4.00000*constants[61])*constants[64])+(((-constants[2]+states[0])-4.00000*constants[61]*states[0])+power(((power(constants[2], 2.00000)-2.00000*constants[2]*states[0])+8.00000*constants[61]*constants[2]*states[0]+power(states[0], 2.00000))-4.00000*constants[61]*(power(states[0], 2.00000)), 1.0/2))/((2.00000-8.00000*constants[61])*constants[62]))*(1.00000+states[6]/constants[65]+states[7]/constants[63]))
algebraic[12] = (constants[8]*constants[44]*((-constants[6]*states[5])/constants[45]+(states[4]*states[13])/(1.00000+constants[46])))/(constants[47]*constants[48]*(1.00000+states[5]/constants[49]+states[4]/constants[48])*(1.00000+constants[6]/constants[50]+states[13]/((1.00000+constants[46])*constants[47])))
algebraic[15] = (constants[8]*constants[0]*((constants[99]*states[12])/constants[97]-(constants[100]*states[13])/constants[98]))/(1.00000+states[12]/constants[97]+states[13]/constants[98])
algebraic[2] = (((constants[8]*constants[18])/constants[19])*(states[1]-states[2]/constants[20]))/(1.00000+states[1]/constants[19]+states[2]/constants[21])
algebraic[17] = ((constants[8]*constants[101]*states[1]*states[16])/(constants[102]*constants[103]))/((1.00000+states[1]/constants[102]+states[17]/constants[104])*(1.00000+states[16]/constants[103]))
algebraic[16] = (((constants[8]*constants[66])/constants[67])*(states[7]-states[8]/constants[68]))/(1.00000+states[7]/constants[67]+states[8]/constants[69])
algebraic[18] = (((constants[8]*constants[70])/constants[71])*(states[8]-states[9]/constants[72]))/(1.00000+states[8]/constants[71]+states[9]/constants[73])
algebraic[19] = (constants[8]*constants[105]*states[14])/(constants[106]+states[14])
algebraic[20] = (((constants[8]*constants[74])/(constants[75]*constants[76]))*((states[9]*(constants[2]-power(((power(states[0], 2.00000)-4.00000*constants[77]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[77]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2)))/(1.00000-4.00000*constants[77])-((states[10]*(((states[0]-4.00000*constants[77]*states[0])-constants[2])+power(((power(states[0], 2.00000)-4.00000*constants[77]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[77]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2)))/(2.00000-8.00000*constants[77]))/constants[78]))/((1.00000+states[9]/constants[75]+states[10]/constants[79])*(1.00000+((((states[0]-4.00000*constants[77]*states[0])-constants[2])+power(((power(states[0], 2.00000)-4.00000*constants[77]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[77]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2))/(2.00000-8.00000*constants[77]))/constants[80]+((constants[2]-power(((power(states[0], 2.00000)-4.00000*constants[77]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[77]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2))/(1.00000-4.00000*constants[77]))/constants[76]))
algebraic[21] = ((constants[8]*constants[107]*states[15]*states[16])/(constants[108]*constants[109]))/((1.00000+states[15]/constants[108]+states[17]/constants[110])*(1.00000+states[16]/constants[109]))
algebraic[23] = (constants[8]*constants[95]*(((states[0]-4.00000*constants[96]*states[0])-constants[2])+power(((power(states[0], 2.00000)-4.00000*constants[96]*(power(states[0], 2.00000)))-2.00000*states[0]*constants[2])+8.00000*constants[96]*states[0]*constants[2]+power(constants[2], 2.00000), 1.0/2)))/(2.00000-8.00000*constants[96])
algebraic[22] = ((constants[8]*constants[81]*(power(states[10], constants[82])))/(power(constants[83], constants[82])))/(1.00000+(power(states[10], constants[82]))/(power(constants[83], constants[82])))
algebraic[25] = constants[8]*constants[137]*states[17]
algebraic[24] = (constants[8]*((constants[111]*states[18])/constants[113]-(constants[112]*states[19])/constants[114]))/(1.00000+states[18]/constants[113]+states[19]/constants[114])
algebraic[27] = (constants[8]*((constants[115]*states[19]*states[20])/(constants[117]*constants[118])-(constants[116]*states[12]*states[21])/(constants[119]*constants[120])))/((1.00000+states[19]/constants[117]+states[12]/constants[119])*(1.00000+states[20]/constants[118]+states[21]/constants[120]))
algebraic[26] = constants[8]*constants[84]*states[11]
algebraic[28] = (((constants[8]*-constants[85])/(constants[86]*constants[87]))*(states[5]*constants[4]-(states[4]*states[11])/constants[88]))/(1.00000+states[5]/constants[86]+(constants[89]*constants[4])/(constants[86]*constants[87])+(constants[90]*states[11])/(constants[91]*constants[92])+states[4]/constants[91]+(states[5]*constants[4])/(constants[86]*constants[87])+(constants[90]*states[5]*states[11])/(constants[86]*constants[91]*constants[92])+(constants[89]*constants[4]*states[4])/(constants[86]*constants[87]*constants[91])+(states[4]*states[11])/(constants[91]*constants[92])+(states[5]*constants[4]*states[11])/(constants[86]*constants[87]*constants[93])+(constants[4]*states[4]*states[11])/(constants[94]*constants[91]*constants[92]))
algebraic[29] = (constants[8]*((constants[121]*states[18])/constants[123]-(constants[122]*states[20])/constants[124]))/(1.00000+states[18]/constants[123]+states[20]/constants[124])
algebraic[30] = (constants[8]*((constants[125]*states[12]*states[21])/(constants[127]*constants[128])-(constants[126]*states[2]*states[22])/(constants[129]*constants[130])))/((1.00000+states[12]/constants[127]+states[2]/constants[129])*(1.00000+states[21]/constants[128]+states[22]/constants[130]))
algebraic[31] = (constants[8]*((constants[131]*states[22]*states[20])/(constants[134]*constants[133])-(constants[132]*states[2]*states[12])/(constants[135]*constants[136])))/((1.00000+states[20]/constants[133]+states[12]/constants[136])*(1.00000+states[22]/constants[134]+states[2]/constants[135]))
algebraic[1] = states[17]/states[16]
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)