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. Author manuscript; available in PMC: 2011 Sep 1.
Published in final edited form as: Metab Eng. 2010 May 27;12(5):429–445. doi: 10.1016/j.ymben.2010.05.003

Table I.

Linear Physical Programming optimization results for a tri-objective system (NADPH synthesis, albumin synthesis and glutathione 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 NADPH 3.504 3.242 2.979 2.716 2.453 3.324
High Albumin 0.143 0.132 0.121 0.110 0.100 0.109
High GSH 14.900 13.782 12.665 11.547 10.430 10.430
2 High NADPH 3.504 3.242 2.979 2.716 2.453 3.442
High Albumin 0.143 0.132 0.121 0.110 0.100 0.143
Low GSH 1.000 0.750 0.501 0.251 0.001 4.920
3 Low NADPH 0.100 0.078 0.055 0.033 0.010 0.100
High Albumin 0.143 0.132 0.121 0.110 0.100 0.143
Low GSH 0.100 0.075 0.051 0.026 0.001 0.464
4 High NADPH 3.504 3.242 2.979 2.716 2.453 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
Low GSH 0.100 0.075 0.051 0.026 0.001 6.410
5 Low NADPH 0.100 0.078 0.055 0.033 0.010 0.532
Low Albumin 1.00·10−3 7.53·10−4 5.05·10−4 2.58·10−4 1.00·10−5 1.00·10−3
High GSH 14.900 13.782 12.665 11.547 10.430 14.859