Table 3.

Optimization results for the model of heat shock response in yeast

Objective function	VTRE	VNADPH	VATP	Cost	VTRE	VNADPH	VATP	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)
VTRE	2.08	0.02	1.3 × 10-5	3.6 × 10-4	0.26	0.03	0.03	0.03
VNADPH	0.59	46.21	0.36	1.64	3.54	41.44	3.54	3.53
VATP	154.90	247.16	1755.86	49.05	620.09	281.06	658.84	180.47
VGLY	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

Constraints correspond to those in Table 2. For details on the model and on the meaning of Ψ and Cost the reader is referred to [20] and to Additional File 1.