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ÈçÏÂÂÛÎÄÊÇ·ñÒѾSCI¼ìË÷£¬·Ç³£¸Ðл£¡ Xu Gongxian, An Improved Geometric Programming Approach for Optimization of Biochemical Systems, Journal of Applied Mathematics, 2014, Volume 2014, Article ID 719496, 10 pages. |
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FN Thomson Reuters Web of Science™ VR 1.0 PT J AU Xu, GX Wang, L AF Xu, Gongxian Wang, Lei TI An Improved Geometric Programming Approach for Optimization of Biochemical Systems SO JOURNAL OF APPLIED MATHEMATICS LA English DT Article ID METABOLIC CONTROL-THEORY; POWER-LAW APPROXIMATION; SACCHAROMYCES-CEREVISIAE; FERMENTATION PATHWAY; NETWORKS; MAXIMIZATION; STABILITY; BACTERIA; STRATEGY; DESIGN AB This paper proposes an improved geometric programming approach to address the optimization of biochemical systems. In the proposed method we take advantage of a special and interesting class of nonlinear kinetic models known as generalized mass action (GMA) models. In most situations optimization problems with GMA models are nonconvex and difficult problems to solve for global optimality. To deal with this difficulty, in this work, some transformation strategy is first used to convert the optimization problem with GMA models into an equivalent problem. Then a convexification technique is applied to transform this resulting optimization problem into a series of standard geometric programming problems that can be solved to reach a global solution. Two case studies are presented to demonstrate the advantages of the proposed method in terms of computational efficiency. C1 [Xu, Gongxian; Wang, Lei] Bohai Univ, Dept Math, Jinzhou 121013, Peoples R China. RP Xu, GX (reprint author), Bohai Univ, Dept Math, Jinzhou 121013, Peoples R China. EM gxxu@bhu.edu.cn FU National Natural Science Foundation of China [11101051, 11371071]; Program for Liaoning Excellent Talents in University [LJQ2013115] FX This work was supported by the National Natural Science Foundation of China (nos. 11101051 and 11371071) and the Program for Liaoning Excellent Talents in University (no. LJQ2013115). NR 36 TC 0 Z9 0 PU HINDAWI PUBLISHING CORPORATION PI NEW YORK PA 410 PARK AVENUE, 15TH FLOOR, #287 PMB, NEW YORK, NY 10022 USA SN 1110-757X EI 1687-0042 J9 J APPL MATH JI J. Appl. Math. PY 2014 AR 719496 DI 10.1155/2014/719496 PG 10 WC Mathematics, Applied SC Mathematics GA AJ1GW UT WOS:000337405000001 ER EF |
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