Open Access
2014 An Improved Geometric Programming Approach for Optimization of Biochemical Systems
Gongxian Xu, Lei Wang
J. Appl. Math. 2014: 1-10 (2014). DOI: 10.1155/2014/719496


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.


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Gongxian Xu. Lei Wang. "An Improved Geometric Programming Approach for Optimization of Biochemical Systems." J. Appl. Math. 2014 1 - 10, 2014.


Published: 2014
First available in Project Euclid: 2 March 2015

zbMATH: 07131820
Digital Object Identifier: 10.1155/2014/719496

Rights: Copyright © 2014 Hindawi

Vol.2014 • 2014
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