Summary
The batch cultivation of Chaetomium cellulyticum on glucose was described by a structured model based on the experimental investigations of Hecht et al. (1982) and Rosen (1982). The Monod model did not give satisfactory results. The structured model takes into account the adaptation of the transport system of cells to the substrate supply. The model parameters identified are presented. The agreement between calculated and measured courses of cell growth is excellent.
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Abbreviations
- F :
-
(Force)
- IU :
-
(Activity)
- K :
-
(Temperature)
- L :
-
(Length)
- M :
-
(Mass)
- M M :
-
(Mol mass)
- T :
-
(Time)
- c(t) :
-
vector of intracellular cell state variables [1]
- D :
-
dilution rate [T -1]
- E :
-
concentration of free enzyme [ML -3]
- F :
-
flow rate [L 3 T -1]
- f :
-
function
- G :
-
glucose concentration [ML -3]
- G(z) :
-
vector of biological activities
- H :
-
Henry coefficient [FL -2] (H=4.81 · 104 bar)
- H * :
-
modified Henry coefficient [FLM M -1]
- K :
-
rate constant of intracellular reaction G→M1 [T -1]
- K IND :
-
constant of induction of permease system [T -1]
- KKZ :
-
decomposition rate of intracellular permease [T -1]
- K L a :
-
volumetric mass transfer coefficient [T -1]
- K LG :
-
alcaline consumption coefficient for the cell mass [L 3 M -1]
- K 0 :
-
Monod constant with regard to oxygen [ML -3]
- K S :
-
Monod constant with regard to substrate [ML -3]
- K1, K2:
-
synthesis rates of intracellular components [T -1]
- LG VER :
-
alcaline consumption [L 3]
- LG :
-
mean alcaline consumption rate [L 3 T -1]
- M I :
-
molecular weight of component I[MM M -1]
- M1, M2:
-
intracellular concentration of metabolites [-]
- O F :
-
dissolved oxygen concentration [ML -3]
- O + F :
-
OF at saturation [ML -3]
- O G :
-
oxygen concentration in gas phase [M M L -3]
- OTR :
-
oxygen transfer rate [ML -3 T -1]
- OUR :
-
oxygen uptake rate [ML -3 T -1]
- p :
-
pressure [FL -2]
- P :
-
parameter vector
- p O 2 :
-
partial oxygen pressure
- PER :
-
intracellular concentration of transport enzymes (permeases) [1]
- PROT :
-
minimum cell protein concentration [1]
- \({\text{Q}}_{CO_2 } \) :
-
CO2 production rate
- \({\text{Q}}_{O_2 } \) :
-
oxygen input rate [ML -3 T -1]
- R :
-
general gas constant [FLM M -1 K -1] [R=8.3143 J (kmol K)-1]
- RQ :
-
respiratory quotient [1]
- S :
-
substrate concentration [M M L -3] [ML -3]
- T :
-
temperature [K]
- U :
-
input vector
- V F :
-
volume of liquid phase of reactor [L 3]
- V G :
-
volume of gas phase [L 3]
- X :
-
cell mass concentration [ML -3]
- x CG :
-
CO2 mole fraction in gas [1]
- x OG :
-
O2 mole fraction in gas [1]
- Y M1/Osp :
-
special yield coefficient of metabolite M1 with regard to oxygen [1]
- Y X/G :
-
yield coefficient of cell mass with regard to glucose [1]
- Y X/Gsp :
-
special yield coefficient of cell mass with regard to glucose [1]
- Y X/O :
-
yield coefficient of cell mass with regard to oxygen [1]
- Y X/Osp :
-
special yield coefficient of cell mass with regard to oxygen [1]
- z :
-
state vector
- ZEPROT :
-
cell protein concentration [1]
- ɛ F :
-
relative liquid holdup [1]
- ɛ G :
-
relative gas holdup [1]
- μ:
-
specific cell mass increase rate [T -1]
- μmax :
-
maximum specific cell mass growth rate [T -1]
- μ D :
-
specific cell mass diminution rate [T -1]
- μ G :
-
specific growth rate [T -1]
- ϱ:
-
density [ML -3]
- A :
-
outlet
- E :
-
inlet
- R :
-
reservoir
- t :
-
total
- 0:
-
initial values
References
Bauermeister G (1978) German Patent P 28019–52
Chahal DS, Wang DLC (1978) Chaetomium cellulolyticum, growth behavior on cellulase and protein production. Mycologia 70: 160
Hecht V, Schügerl K, Scheiding W (1982) Conversion of cellulose into fungal cell mass. Eur J Appl Microbiol Biotechnol 16: 219–222
Hecht V, Schügerl K, Scheiding W (1983) Optimization of cellulose conversion into fungal cell mass. J Chem Techn Biotechnol 33B: 231–240
Rosen W (1982) Untersuchungen zum Wachstum von Chaetomium cellulolyticum in Submers- und Festbettkulturen. Diploma work
Scheiding W (1983) Modelltechnische Untersuchungen zur enzymatischen Hydrolyse von Cellulose. Dissertation, Universität Hannover
Scheiding W, Thoma M, Ross A, Schügerl K (1984) Modelling of enzymatic hydrolysis of cellbiose by a complex enzyme mixture of Trichoderma reesei QM 9414. Eur J Appl Microbiol Biotechnol 20: 176–182
Segel IH (1975) Behavior and analysis of rapid equilibrium and steady-state enzyme systems. In: Segel IH (ed) Enzyme kinetics. Wiley & Sons, New York, Chap 5, p 245
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Scheiding, W., Thoma, M., Hecht, V. et al. Growth of Chaetomium cellulolyticum on glucose substrate. Appl Microbiol Biotechnol 21, 299–308 (1985). https://doi.org/10.1007/BF00252708
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DOI: https://doi.org/10.1007/BF00252708