An Improved Geometric Programming Approach for Optimization of Biochemical Systems
Joint Authors
Source
Journal of Applied Mathematics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-06-01
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Xu, Gongxian& Wang, Lei. 2014. An Improved Geometric Programming Approach for Optimization of Biochemical Systems. Journal of Applied Mathematics،Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-493176
Modern Language Association (MLA)
Xu, Gongxian& Wang, Lei. An Improved Geometric Programming Approach for Optimization of Biochemical Systems. Journal of Applied Mathematics No. 2014 (2014), pp.1-10.
https://search.emarefa.net/detail/BIM-493176
American Medical Association (AMA)
Xu, Gongxian& Wang, Lei. An Improved Geometric Programming Approach for Optimization of Biochemical Systems. Journal of Applied Mathematics. 2014. Vol. 2014, no. 2014, pp.1-10.
https://search.emarefa.net/detail/BIM-493176
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-493176