Constrained Optimization of L-Lysine Production Based on Metabolic Flux Using a Mathematical Programming Method
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概要
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Constrained optimization for microbial fermentation was studied. For optimization, we used not the maximum principle but a nonlinear programming method because of the need to consider many metabolic reactions. In the case of L-lysine fermentation, the optimization problem in L-lysine production was formulated as a nonlinear programming problem. In general, the state equations based on material balances are represented as differential equations, but such equations which are dependent on time can not be applied to a nonlinear programming problem. Therefore, the state equations were made discrete in a time base, and a new single vector which is not dependent on time was substituted. From these formulae, the objective function and the constraints using nonlinear programming problem were defined as the amount of L-lysine produced, and as a metabolic reaction model and empirical equations, respectively. Computer program was developed to solve this constrained nonlinear programming problem. The applied algorithm of the computer programming was a sequential quadratic programming method(SQP method). When the constrained nonlinear programming problem is solved using the SQP method, the maximum amount of L-lysine produced and the optimal feeding rate of L-threonine could be calculated. From the calculated results, it was clear that introduction of the equality and inequality constraints was easy. L-Lysine at a concentration up to 75.3 g/l could be produced when the fermentation was carried out under optimal conditions.
- 社団法人日本生物工学会の論文
- 2001-04-25
著者
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Omasa Takeshi
Department of Biotechnology, Graduate School of Engineering, Osaka University
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岸本 通雅
京都工芸繊維大学工芸科学研究科
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Kishimoto Michimasa
Department of Chemistry and Materials Technology, Kyoto Institute of Technology
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KATAKURA YOSHIO
Department of Biotechnology, Graduate School of Engineering, Osaka University
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Omasa Takeshi
Department Of Biotechnology Graduate School Of Engineering Osaka University
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Kurokawa Yuji
Department Of Environmental Technology And Urban Planning Graduate School Of Engineering Nagoya Inst
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SUGA KEN-ICHI
Department of Biotechnology, Faculty of Engineering, Osaka University
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Katakura Yoshio
Department Of Agricultural Chemistry Faculty Of Agriculture The University Of Tokyo
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TADA KIYOSHI
Department of Biotechnology, Graduate School of Engineering, Osaka University
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Suga K
Osaka Univ. Osaka Jpn
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Suga K
Department Of Biotechnology Graduate School Of Engineering Osaka University
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Suga K
Osaka Univ. Osaka
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Suga Ken-ichi
Department Of Biological Science And Technology Science University Of Tokyo
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Kishimoto Michimasa
Deparmtnet Of Biotechnology Osaka University
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Kurokawa Y
Division Of Cellular & Molecular Toxicology National Institute Of Health Sciences
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Kawasaki Yasushi
National Institute Of Health Sciences
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Omasa Takeshi
Department Of Biological Science And Technology Institute Of Technology And Science The University O
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Katakura Yoshio
Department Of Life Science And Bioengineering Faculty Of Chemistry Materials And Bioengineering Kans
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岸本 通雅
京都工芸繊維大学大学院工芸科学研究科
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Omasa Takeshi
Department Of Biological Science And Technology Biosystems Engineering Institute Of Technology And Science The University Of Tokushima
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Tada Kiyoshi
Department of Biotechnology and Environmental Chemistry, Kitami Institute of Technology
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