Table II.

Linear Physical Programming optimization results for a tri-objective system (NADPH synthesis, albumin synthesis and urea synthesis) for hepatic metabolic network. HUD is highly undesirable, UD is undesirable, T is tolerable, D is desirable and HD is highly desirable preference values of objective functions.

Case #	Priority	Flux	t1 (HD)	t2 (D)	t3 (T)	t4 (UD)	t5 (HUD)	Optimal
1	High	Urea	34.869	31.818	28.767	25.716	22.665	23.724
	High	NADPH	3.504	3.198	2.891	2.585	2.278	2.278
	High	Albumin	0.143	0.130	0.118	0.105	0.093	0.130
2	High	Urea	34.869	33.125	31.382	29.638	27.895	29.706
	Low	NADPH	0.100	0.078	0.055	0.033	0.010	0.100
	High	Albumin	0.143	0.135	0.128	0.121	0.114	0.135
3	High	Urea	34.869	33.125	31.382	29.638	27.895	34.845
	Low	NADPH	0.100	0.078	0.055	0.033	0.010	0.311
	Low	Albumin	1.00·10−3	7.53·10−4	5.05·10−4	2.58·10−4	1.00·10−5	0.001
4	Low	Urea	1.000	0.750	0.500	0.250	1.00·10−5	1
	High	NADPH	3.504	3.329	3.154	2.979	2.804	3.442
	High	Albumin	0.143	0.135	0.128	0.121	0.114	0.143
5	Low	Urea	1.000	0.750	0.500	0.250	1.00·10−5	4.39
	High	NADPH	3.504	3.329	3.154	2.979	2.804	3.504
	Low	Albumin	1.00·10−3	7.53·10−4	5.05·10−4	2.58·10−4	1.00·10−5	0.100
6	Low	Urea	1.000	0.750	0.500	0.250	1.00·10−5	1
	Low	NADPH	0.100	0.078	0.055	0.033	0.010	0.100
	High	Albumin	0.143	0.135	0.128	0.121	0.114	0.143