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Xu Gongxian, Bi-objective Optimization of Biochemical Systems by Linear Programming, Applied Mathematics and Computation, 2012, 218(14): 7562-7572.
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FN Thomson Reuters Web of Knowledge
VR 1.0
PT  J
AU  Xu, GX
AF  Xu, Gongxian
TI  Bi-objective optimization of biochemical systems by linear programming
SO  APPLIED MATHEMATICS AND COMPUTATION
LA  English
DT  Article
DE  Bi-objective optimization; Linear programming; S-system; Minimax problem; Biochemical systems
ID  METABOLIC REACTION NETWORKS; POWER-LAW APPROXIMATION; CITRIC-ACID PRODUCTION; SACCHAROMYCES-CEREVISIAE; FERMENTATION PATHWAY; GLOBAL OPTIMIZATION; ASPERGILLUS-NIGER; MODEL DEFINITION; DESIGN; MAXIMIZATION
AB  This paper proposes an iterative strategy to address the bi-objective optimization of biochemical systems. The biochemical system is firstly represented by the S-system formalism that steady-states can be explicitly represented as systems of linear algebraic equations. Then a minimax method is used iteratively to maximize the performance of a biochemical system while minimizing its cost. To illustrate the effectiveness of our theoretical results, the fermentation pathway in Saccharomyces cerevisiae is analyzed. Compared with existing optimization results in the literature, we also show that our results are better than existing ones with this illustrative biochemical system. (C) 2012 Elsevier Inc. All rights reserved.
C1  Bohai Univ, Dept Math, Jinzhou 121000, Peoples R China.
RP  Xu, GX (reprint author), Bohai Univ, Dept Math, Jinzhou 121000, Peoples R China
EM  dutxugx@yahoo.com.cn
FU  National Natural Science Foundation of China[11101051, 61070242]; Liaoning Province Doctor Startup Fund of China[20101001]; Liaoning Provincial Natural Science Foundation of China[20102003]
FX  This work was supported by the National Natural Science Foundation of China (Nos. 11101051 and 61070242), Liaoning Province Doctor Startup Fund of China (No. 20101001) and Liaoning Provincial Natural Science Foundation of China (No. 20102003).
NR  37
TC  0
Z9  0
PU  ELSEVIER SCIENCE INC
PI  NEW YORK
PA  360 PARK AVE SOUTH, NEW YORK, NY 10010-1710 USA
SN  0096-3003
J9  APPL MATH COMPUT
JI  Appl. Math. Comput.
PD  MAR 15
PY  2012
VL  218
IS  14
BP  7562
EP  7572
DI  10.1016/j.amc.2012.01.023
PG  11
WC  Mathematics, Applied
SC  Mathematics
GA  899AJ
UT  WOS:000300783300021
ER  

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