Noninferior periodic operation of bioreactor systems

  • S. Hasegawa
  • K. Shimizu
Part of the Advances in Biochemical Engineering/Biotechnology book series (ABE, volume 51)


In the optimal design and operation of bioreactor systems, a single objective function has been extensively employed in the past.

Here, we formulate the optimization problem as a multi-objective programming problem which determines the noninferior solutions with respect to performance indexes. This approach has proved itself to be quite useful in getting insight into the well-balanced performance evaluation for a variety of bioreactor systems. Furthermore, we consider the optimization problem in the framework of generalized periodic operation since it contains various operations as its special cases.


Bioreactor System Periodic Operation Batch Operation Oleyl Alcohol Repeated Batch 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

List of Abbreviations and Symbols

bi (i=1∼4)

temperature dependent parameters


Ji-extreme point


components of an objective function


inhibition constant [kg m−3]


saturation constant [kg m−3]


maintenance coefficient


(maximum) concentration of the metabolite [kg m−3]


(feed) flow rate [m−3 h−1]


repeated batch operation


repeated fed-batch operation


(feed) substrate concentration [kg m−3]


steady-state operation or continuous operation


time [h]


cultivation period counted after cell concentration reached 95% of maximum cell concentration


(maximum) working volume [m3]


cell concentration [kg m−3]


≡ vx

Y, Y*

yield coefficients


≡ p/(sF−s)


constant in Eq. (11)


constant in Eq. (11)


Dirac's delta function


≡ V*/V


volume fraction of product draw-off


constant for the evaluation of growth-lag period


cultivation temperature [‡C]

Μ (Μm)

(maximum) specific growth rate [h−1]


volume fraction of the initial feed of substrate


specific production rate of metabolite [h−1]


distribution (partition) coefficient


period [h]


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Copyright information

© Springer-Verlag 1994

Authors and Affiliations

  • S. Hasegawa
    • 1
  • K. Shimizu
    • 2
  1. 1.Biotechnology Research LaboratoryTosoh CorporationTokyoJapan
  2. 2.Department of Biochemical Engineering and ScienceKyushu Institute of TechnologyFukuokaJapan

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