Abstract
A novel operation strategy employing self-generated oscillation to imrpove the performances of bioreactors is proposed and applied to a model system consisting of two continuous stirredtank bioreators (CSTBs) connected in series. It is demonstrated via computation that the performance of the system (in terms of timeaveraged cell concentration) can be greatly enhanced by adopting the proposed strategy. The process concept presented and the results obtained in this paper are expected to have significant implications beyond the bioprocessing industry.
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Abbreviations
- D hr−1 :
-
dilution rate (F/V)
- F 1hr−1 :
-
volumetric flow rate
- f hr−1 :
-
oscillation frequency
- K s gl−1 :
-
Monod constant, Eq. (5)
- K′ s :
-
dimensionless Ks, K s/S0,Eq. (11)
- S gl−1 :
-
limiting substrate concentration
- ¯S gl−1 :
-
time-averaged S
- s :
-
dimensionless S, Eq. (14)
- ¯s :
-
time-averaged s
- t h:
-
time
- V l:
-
total (combined) bioreactor volume
- V i 1:
-
volume of ith biorector
- X gl−1 :
-
cell mass concentration
- X gl−1 :
-
time-averaged X
- x :
-
dimensionless X, Eq. (14)
- ¯x :
-
time-averaged x
- Y :
-
Y x/s(cell mass yield coefficient)
- y :
-
dimensionless Y, Eq. (12)
- α :
-
constant in yield coefficient, Eq. (6)
- β lg−1 :
-
constant in yield coefficient, Eq. (6)
- β′ :
-
dimensionless β, βS 0,Eq. (12)
- Δs :
-
amplitude of oscillatory s
- Δx :
-
amplitude of oscillatory x
- θ :
-
dimensionless time, Eq. (13)
- μ hr−1 :
-
specific growth rate
- μ m hr−1 :
-
maximum specific growth rate
- μ′ m :
-
dimensionless μ m, μmτ1,Eq. (11)
- v :
-
dimensionless μ, Eq. (11)
- τ hr:
-
mean residence time (V/F)
- 0 :
-
feed stream
- i (1 or 2):
-
ith bioreactor in series
- * :
-
initial conditions
References
Douglas, J. M.; Rippin, D. W. T.: Unsteady state process operation. Chem. Engng. Sci. 21 (1966) 305–315
Sterman, L. E.; Ydstie, B. E.: Periodic forcing of the CSTR: An application of the generalized π- criterion. AIChE J. 37 (1991) 986–996
Epstein, I. R.: Patterns in time and space generated by chemistry. C&EN. Mar. 30 (1987) 24–36
Borman, S.: Researchers find order, beauty in chaotic chemical systems. C&EN. Jan. 21 (1991) 18–29
Agrawal, P.; Lee, C.; Lim, H. C.; Ramakrishna, D.: Theoretical investigations of dynamic behavior of isothermal continuous stirred tank biological reactors. Chem. Engng. Sci. 37 (1982) 453–462
Borzani, W.: Gregori, R. E.; Vairo, M. L. R.: Some observation on oscillatory changes in the growth rate of Saccharomyces cerevisiae in aerobic continuous undisturbed culture. Biotech. Bioeng. 19 (1977) 1363–1374
Chen, Ching-I; McDonald, K.; Bisson, L.: Oscillatory behaviour of Saccharomyces cerevisiae in continuous culture: I. Effect of pH and nitrogen levels. Biotech. Bioeng. 36 (1990) 19–27
Clarke, K. G.; Hansford, G. S.; Jones, D. T.: Nature and significance of oscillatory behaviour during solvent production by Clostridium acetobutylicum in continuous culture. Biotech. Bioeng. 32 (1988) 538–544
Crooke, P. S.; Wei, C.; Tanner, R. D.: The effect of the specific growth rate and yield expressions on the existence of oscillatory behavior of a continuous fermentation model. Chem. Eng. Commun. 6 (1980) 333–347
Koizumi, J.; Aiba, S.: Oscillatory behavior of population density in continuous culture of genetic engineered Bacillus stearothermophilus. Biotech. Bioeng. 34 (1989) 750–754
Parulekar, S. J.; Semones, G. B.; Rolf, M. J.; Lievense, J. C.; Lim, H. C.: Induction and elimination of oscillations in continuous cultures of Saccharomyces cerevisiae. Biotech. Bioeng. 28 (1986) 700–710
Porro, D.; Martegani, E.; Ranzi, B. M.; Alberghina, L.: Oscillations in continuous cultures of budding yeast: A segregated parameter analysis. Biotech. Bioeng. 32 (1988) 411–417
Lazar, J. G.; Ross, J.: Changes in mean concentration phase shifts and dissipation in a forced oscillatory reaction. Science 247 (1990) 189–192
Weber, A.; San, K.: Dynamics of plasmid maintenance in a CSTR upon square wave perturbations in the dilution rate. Biotech. Bioeng. 34 (1989) 1104–1113
Villadsen, J.; Michelsen, M. L.: Solution of differential equation models by polynomial approximation, Prentice-Hall, Englewood Cliffs, 1978
Su, J.: Improvement of chemostat system performance via nonlinear oscillation. M. S. thesis, West Virginia University, 1992
Koga, S.; Humphrey, A. E.: Study of the dynamic behavior of the chemostat system. Biotech. Bioeng. 9 (1967) 375–386
Essajee, C. K.; Tanner, R. D.: The effect of extracellular variables on the stability of the continuous baker's yeast-ethanol fermentation process. Process Biochem. 14 (1979) 16–25
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Yang, R.Y.K., Su, J. Improvement of chemostat performance via nonlinear oscillations. Bioprocess Eng. 9, 97–102 (1993). https://doi.org/10.1007/BF00369037
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DOI: https://doi.org/10.1007/BF00369037