Abstract
A numerical procedure, suitable for parameter estimation in complex continuous cultivation was designed and is described here. We successfully tested the proposed algorithm that was based on a combination of direct and random search minimization of squares of residuals for multistage cultivation systems. As examples, the production of neutral solvents byClostridium acetobutylicum and chlortetracycline production byStreptomyces aureofaciens were selected.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
Abbreviations
- A i :
-
acetone concentration ini-th stage, g/L
- AA i :
-
acetic acid concentration ini-th stage, g/L
- B i :
-
butanol concentration ini-th stage, g/L
- BA i :
-
butyric acid concentration ini-th stage, g/L
- c * :
-
dissolved oxygen concentration ini-th stage, mg/L
- C i :
-
chlortetracycline concentration ini-th stage, g/L
- D :
-
dilution rate, 1/h
- e i :
-
activity of ATC-oxygenase ini-th stage, nkat/g
- E i :
-
ethanol concentration ini-th stage, g/L
- k La i :
-
aeration capacity ofi-th stage, 1/h
- k 1−k 6 :
-
parameters of the model of Table III
- K 1−K 11 :
-
parameters of the models of Tables I and II
- K s,K o,K n :
-
saturation constants, g/L
- K i,K iba,K p,K c :
-
inhibition constants, g/L
- μi :
-
specific growth rate ini-th stage; 1/h
- μmax :
-
maximum specific growth rate, 1/h
- N0 :
-
inlet concentration of nitrogen source, g/L
- O i :
-
dissolved oxygen concentration ini-th stage, mg/L
- P i :
-
phosphate concentration ini-th stage, mg/L
- P0 :
-
inlet phosphate concentration, mg/L
- S i :
-
substrate concentration ini-th stage, g/L
- S0 :
-
inlet concentration of carbon source, g/L
- t :
-
current time, h
- X i :
-
biomass concentration ini-th stage, g/L
- y :
-
relative RNA concentration, RNA/RNAmin
- Y s/x , Yo/x :
-
yield coefficients
- i, j :
-
indices
References
Branham R.L.:Scientific Data Analysis. An Introduction to Overdetermined Systems. Springer Verlag, New York 1990.
Dyr J., Protiva J., Praus J.: Formation of neutral solvents in continuous cultivation by means ofClostridium acetobutylicum, pp. 210–226 inContinuous Cultivation of Microorganisms. Academia, Prague (1958).
Holodniok M., Kl’ič A., Kub’iček M., Marek M.:The Methods of the Analysis of Nonlinear Dynamic Models. (In Czech) Academia, Prague 1986.
Hooke R., Jeeves E.A.: Direct search solution of numerical and statistical problems.J. Ass. Comp. Mach. 8, 212–229 (1961).
Monod J.:Recherches sur la Croissance des Cultures Bacteriennes. Herman et Cie., Paris 1942.
P’aca J., Gr’egr V.: Effect of viscosity on backflow coefficient and oxygen transfer rate in a multistage tower fermenter.J. Ferment. Technol. 55, 166–173 (1977).
Ross A., Schügerl K.: Tetracycline production byStreptomyces aureofaciens: the time lag of production.Appl. Microbiol. Biotechnol. 29, 174–180 (1988).
Shrivastava A.F.:Search for marker of Physiological State of Clostridium acetobutylicum. McGill University, Montreal 1990.
Sikyta B., Sleza J., Herold M.: Continuous chlortetracycline fermentation, inContinuous Cultivation of Microorganisms, 2nd Symposium, Prague 1962.
Volesky B., Votruba J.:Modeling and Optimization of Fermentations Processes. Elsevier, Amsterdam 1992.
Votruba J., Běhal V.: A mathematical model of the biosynthesis of tetracyclines.Appl. Microbiol. Biotechnol. 19, 153–156 (1984).
Ziglavskij A.A.:Mathematical Theory of Global Random Search. (In Russian) Leningrad University Press, Leningrad 1985.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Schwippel, J., Votruba, J. Identification of mathematical models of complex cultures of microorganisms in continuous cultivation—Numerical approach. Folia Microbiol 37, 427–432 (1992). https://doi.org/10.1007/BF02899901
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF02899901