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Noninferior periodic operation of bioreactor systems

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Biotechnics/Wastewater

Part of the book series: Advances in Biochemical Engineering/Biotechnology ((ABE,volume 51))

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Abstract

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.

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Abbreviations

bi (i=1∼4):

temperature dependent parameters

EJi :

Ji-extreme point

Ji :

components of an objective function

Ki:

inhibition constant [kg m−3]

Ks:

saturation constant [kg m−3]

m:

maintenance coefficient

p(pm):

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

q(qF):

(feed) flow rate [m−3 h−1]

RB:

repeated batch operation

RFB:

repeated fed-batch operation

s(sF):

(feed) substrate concentration [kg m−3]

SS:

steady-state operation or continuous operation

t:

time [h]

TL :

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

v(vm):

(maximum) working volume [m3]

x:

cell concentration [kg m−3]

X:

≡ vx

Y, Y* :

yield coefficients

z:

≡ p/(sF−s)

α:

constant in Eq. (11)

Î’:

constant in Eq. (11)

δ:

Dirac's delta function

ε:

≡ V*/V

η:

volume fraction of product draw-off

λ:

constant for the evaluation of growth-lag period

θ:

cultivation temperature [‡C]

Μ (Μm):

(maximum) specific growth rate [h−1]

ξ:

volume fraction of the initial feed of substrate

Ï€:

specific production rate of metabolite [h−1]

Φ:

distribution (partition) coefficient

Τ:

period [h]

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Author information

Authors and Affiliations

  1. Biotechnology Research Laboratory, Tosoh Corporation, 1-7-7 Akasaka, Minato-ku, 107, Tokyo, Japan

    S. Hasegawa

  2. Department of Biochemical Engineering and Science, Kyushu Institute of Technology, Iizuka, 820, Fukuoka, Japan

    K. Shimizu

Authors
  1. S. Hasegawa
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  2. K. Shimizu
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© 1994 Springer-Verlag

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Hasegawa, S., Shimizu, K. (1994). Noninferior periodic operation of bioreactor systems. In: Biotechnics/Wastewater. Advances in Biochemical Engineering/Biotechnology, vol 51. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0008735

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  • DOI: https://doi.org/10.1007/BFb0008735

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-57319-7

  • Online ISBN: 978-3-540-48062-4

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