Table 3 Optimization results for the model of heat shock response in yeast
Objective function | V TRE | V NADPH | V ATP | Cost | V TRE | V NADPH | V ATP | Cost |
|---|---|---|---|---|---|---|---|---|
Goal (Maximize/Minimize) | Max | Max | Max | Min | Max | Max | Max | Min |
Constrains in[20] | No | No | No | No | Yes | Yes | Yes | Yes |
Enzymes (Chanfe-fold) | ||||||||
HTX | 20.00 | 20.00 | 20.00 | 1.00 | 10.66 | 12.77 | 19.21 | 4.52 |
GLK | 0.50 | 3.00 | 0.50 | 1.00 | 4.58 | 5.42 | 8.15 | 2.42 |
PFK | 0.25 | 0.25 | 20.00 | 1.00 | 1.00 | 1.00 | 2.34 | 1.00 |
TDH | 0.25 | 0.25 | 0.25 | 1.00 | 5.11 | 2.10 | 4.92 | 1.46 |
PYK | 20.00 | 20.00 | 20.00 | 1.00 | 10.54 | 5.54 | 11.78 | 3.07 |
TPS+GOL | 20.00 | 0.25 | 0.25 | 1.00 | 20.00 | 2.34 | 2.34 | 4.93 |
GADP | 0.25 | 20.00 | 0.25 | 1.00 | 1.71 | 20.00 | 1.71 | 1.79 |
Glycerol production | 0.25 | 0.25 | 0.25 | 1.00 | 1.00 | 1.00 | 1.00 | 1.00 |
ATPase | 0.25 | 0.25 | 20.00 | 1.00 | 1.81 | 0.62 | 2.04 | 1.00 |
Metabolites (mM) | ||||||||
Glucose (internal) | 0.75 | 0.08 | 22.67 | 0.06 | 0.04 | 0.04 | 0.04 | 0.04 |
Glucose-6-P | 278.04 | 160.28 | 0.02 | 0.23 | 20.22 | 20.22 | 20.22 | 7.95 |
Fructose-1,6-P | 669.48 | 510.46 | 164486.70 | 14.36 | 22.86 | 22.86 | 22.86 | 22.86 |
PEP | 0.00 | 4.9 × 10-4 | 1.7 × 10-3 | 3.5 × 10-3 | 0.01 | 8.3 × 10-3 | 0.01 | 0.01 |
ATP | 20.54 | 13.10 | 6.6 × 10-5 | 0.03 | 2.47 | 6.77 | 6.77 | 3.63 |
Fluxes (mM min -1 ) | ||||||||
V TRE | 2.08 | 0.02 | 1.3 × 10-5 | 3.6 × 10-4 | 0.26 | 0.03 | 0.03 | 0.03 |
V NADPH | 0.59 | 46.21 | 0.36 | 1.64 | 3.54 | 41.44 | 3.54 | 3.53 |
V ATP | 154.90 | 247.16 | 1755.86 | 49.05 | 620.09 | 281.06 | 658.84 | 180.47 |
V GLY | 0.00 | 0.01 | 877.66 | 22.22 | 1.00 | 0.40 | 0.44 | 0.73 |
Ψ | 5.00 | 0.06 | 5.00 | 1.00 | 20.00 | 2.34 | 5.48 | 4.93 |
Cost | 16.61 | 17.02 | 18.22 | 0.00 | 12.00 | 11.02 | 12.06 | 6.07 |
Computational details | ||||||||
Iterations | 4 | 4 | 4 | 1 | 1 | 4 | 5 | 3 |
LB (NLP) | 2.08 | 46.21 | 1755.86 | 0.00 | 0.26 | 41.44 | 658.84 | 6.07 |
UB (MILP) | 2.09 | 46.29 | 1757.87 | 0.00 | 0.26 | 41.48 | 659.74 | 6.06 |
Total time (s) | 1.06 | 1.83 | 2.54 | 0.43 | 0.22 | 0.97 | 2.12 | 1.19 |