A new method for the adaptive determination of optimum pH and temperature

An adaptive control algorithm for the on-line determination of optimal temperature or pH for biomass production in a continuous fermentor is presented. The algorithm requires no prior information and uses a dynamic Hammerstein model to identify parameters and to estimate an optimal steady-state control value. A check of the estimated performance measure second derivative is included to ensure that the target extremum is an optimum. The process is driven towards this optimum with a variable step size that depends on the quality of the on-line identified model. Numerical simulations are performed on a dynamic chemostat model that incorporates a metabolic time delay. The algorithm successfully finds the optimum temperature or pH values and maintains the reactor at the optimum steady state.     

Modeling growth,lipid accumulation and lipid turnover in submerged batch cultures of <Emphasis Type="Italic">Umbelopsis isabellina</Emphasis>

The production of lipids by oleaginous yeast and fungi becomes more important because these lipids can be used for biodiesel production. To understand the process of lipid production better, we developed a model for growth, lipid production and lipid turnover in submerged batch fermentation. This model describes three subsequent phases: exponential growth when both a C-source and an N-source are available, carbohydrate and lipid production when the N-source is exhausted and turnover of accumulated lipids when the C-source is exhausted. The model was validated with submerged batch cultures of the fungus Umbelopsis isabellina (formerly known as Mortierella isabellina) with two different initial C/N-ratios. Comparison with chemostat cultures with the same strain showed a significant difference in lipid production: in batch cultures, the initial specific lipid production rate was almost four times higher than in chemostat cultures but it decreased exponentially in time, while the maximum specific lipid production rate in chemostat cultures was independent of residence time. This indicates that different mechanisms for lipid production are active in batch and chemostat cultures. The model could also describe data for submerged batch cultures from literature well.     

Optimization of dilution rate, pH and oxygen supply on optical purity of 2, 3-butanediol produced by Paenibacillus polymyxa in chemostat culture

The optimum dilution rate for 2, 3-butanediol (BDL) production by Paenibacillus polymyxa was 0.2 h1 and the optical purity of BDL remained above 98 % at all dilution rates. With decreasing culture pH, ethanol and BDL production increased, whereas the optical purity of BDL decreased to 94 % at pH 5.7. In the chemostat culture at pH 6.3 and a 0.1 h1 dilution rate, the optimum air supply for BDL production was 200 ml min–1 in which the O2 uptake rate was 6.7 mmol l–1 h–1. Under this condition, the optical purity of BDL decreased to 93 %. © Rapid Science Ltd. 1998     

Kinetics of biphasic growth of yeast in continuous and fed-batch cultures

The influence of dilution rate on the production of biomass, ethanol, and invertase in an aerobic culture of Saccharomyces carlsbergensis was studied in a glucose-limited chemostat culture. A kinetic model was developed to analyze the biphasic growth of yeast on both the glucose remaining and the ethanol produced in the culture. The model assumes a double effect where glucose regulates the flux of glucose catabolism (respiration and aerobic fermentation) and the ethanol utilization in yeast cells. The model could successfully demonstrate the experimental results of a chemostat culture featuring the monotonic decrease of biomass concentration with an increase of dilution rate higher than 0.2 hr^?1 as well as the maximum ethanol concentration at a particular dilution rate around 0.5 hr^?1. Some supplementary data were collected from an ethanol-limited aerobic chemostat culture and a glucose-limited anaerobic chemostat culture to use in the model calculation. Some parametric constants of cell growth, ethanol production, and invertase formation were determined in batch cultures under aerobic and anaerobic states as summarized in a table in comparison with the chemostat data. Using the constants, a prediction of the optimal control of a glucose fed-batch yeast culture was conducted in connection with an experiment for harvesting a high yield of yeast cells with high invertase activity.     

Optimization and stability of glucoamylase production by recombinant strains of Aspergillus niger in chemostat culture

When grown on a medium containing 5 g maltodextrin L-1, Aspergillus niger transformant N402[pAB6-10]B1, which has an additional 20 copies of the glucoamylase (glaA) gene, produced 320 +/- 8 mg (mean +/- S.E.) glucoamylase (GAM) L-1 in batch culture and 373 +/- 9 mg GAM L-1 in maltodextrin-limited chemostat culture at a dilution rate of 0.13 h-1. These values correspond to specific production rates (qp) of 5.6 and 16.0 mg GAM [g biomass]-1 h-1, respectively. In maltodextrin-limited chemostat cultures grown at dilution rates from 0.06 to 0.14 h-1, GAM was produced by B1 in a growth-correlated manner, demonstrating that a continuous flow culture system operated at a high dilution rate is an efficient way of producing this enzyme. In chemostat cultures grown at high dilution rates, GAM production in chemostat cultures was repressed when the limiting nutrient was fructose or xylose, but derepressed when the limiting nutrient was glucose (qp, 12.0), potassium (6.2), ammonium (4.1), phosphate (2.0), magnesium (1.5) or sulphate (0.9). For chemostat cultures grown at a dilution rate of 0.13 h-1, the addition of 5 g mycopeptone L-1 to a glucose-mineral salts medium resulted in a 64% increase in GAM concentration (from 303 +/- 12 to 496 +/- 10 mg GAM L-1) and a 37% increase in specific production rate (from 12.0 +/- 0.4 to 16.4 +/- 1.6 mg GAM [g biomass]-1 h-1). However, although recombinant protein production was stable for at least 948 h (191 generations) when A. niger B1 was grown in chemostat culture on glucose-mineral salts medium, it was stable for less than 136 h (27 generations) on medium containing mycopeptone. The predominant morphological mutants occurring after prolonged chemostat culture were shown to have selective advantage in the chemostat over the parental strain. Compared to their parental strains, two morphological mutants had similar GAM production levels, while a third had a reduced production level. Growth tests and molecular analysis revealed that the number of glaA gene copies in this latter strain (B1-M) was reduced, which could explain its reduced GAM production. Shake-flask cultures carried out with the various morphological mutants revealed that in batch culture all three strains produced considerably less GAM than their parent strains and even less than N402. We show that physiological changes in these morphological mutants contribute to this decreased level of GAM production.     

Production of cell mass and pertussis toxin by Bordetella pertussis.

The cultivation of Bordetella pertussis affects production of pertussis toxin and biomass. Comparison of batch mode, chemostat operation and pHstat-turbidostatic control showed that productivities for the continuous process were greater than that for the batch operation. Continuous operation in balanced growth at the maximum specific growth rate, provided by the pHstat, resulted in the maximum specific production rate. Because of the strong association of pertussis toxin synthesis and cell growth, the concentration of toxin in the effluent of the continuous processes was greater than the maximum obtained in the batch bioprocess. An expanded Luedeking-Piret model of product formation kinetics fits the observed chemostat data and demonstrates that the production of pertussis toxin from the culture of B. pertussis is predominantly growth associated.     

Modeling lipid accumulation in oleaginous fungi in chemostat cultures. II: Validation of the chemostat model using yeast culture data from literature

A model that predicts cell growth, lipid accumulation and substrate consumption of oleaginous fungi in chemostat cultures (Meeuwse et al. in Bioproc Biosyst Eng. doi:, 2011) was validated using 12 published data sets for chemostat cultures of oleaginous yeasts and one published data set for a poly-hydroxyalkanoate accumulating bacterial species. The model could describe all data sets well with only minor modifications that do not affect the key assumptions, i.e. (1) oleaginous yeasts and fungi give the highest priority to C-source utilization for maintenance, second priority to growth and third priority to lipid accumulation, and (2) oleaginous yeasts and fungi have a growth rate independent maximum specific lipid production rate. The analysis of all data showed that the maximum specific lipid production rate is in most cases very close to the specific production rate of membrane and other functional lipids for cells growing at their maximum specific growth rate. The limiting factor suggested by Ykema et al. (in Biotechnol Bioeng 34:1268–1276, 1989), i.e. the maximum glucose uptake rate, did not give good predictions of the maximum lipid production rate.     

Optimal chemostat cascades for periplasmic protein production.

This theoretical work predicts the optimal system design for the steady-state production of secreted protein in a chemostat cascade, using bakers' yeast (Saccharomyces cerevisiae) as the host organism. The protein of interest, mutant invertase, is secreted to the periplasmic space instead of the culture medium on account of its large size. This work uses the secretion model developed and tested by Park and Ramirez (1988). It is shown that the highest productivity is achieved when the chemostat cascade contains two stages, although the improvement over the single-stage productivity is small. When no recycle is used, the advantage of two stages results from the tradeoff between maximizing the cell concentration and maximizing the rate of protein production per cell. When recycle is used, the cell concentration and protein productivity are increased, and the advantage of two stages results from the tradeoff between maximizing the specific protein production rate and maximizing the specific protein secretion rate. Cascades with three stages were also investigated, but these were found to have no improvement over the corresponding two-stage cascades.     

Production of extracellular protease and glucose uptake in Bacillus clausii in steady-state and transient continuous cultures

The production of the extracellular alkaline protease Savinase (EC 3.4.21.62) and glucose uptake in a non-sporulating strain of Bacillus clausii were investigated by analysing steady-state and transients during continuous cultivations. The specific production rate was found to have an optimum at a dilution rate between 0.14 and 0.17 h(-1), whereas the yield of Savinase on glucose was found to increase with decreasing specific growth rate. A linear relationship between the ribosomal RNA content and the specific production rate was found, indicating that the translational capacity may be limiting for product formation. The dynamics of the production of Savinase were studied during step changes in the dilution rate. During a step down in the dilution rate the specific production rate decreased immediately until it reached a new steady value. During a step-up an initial cease in the production rate was observed, but when glucose stopped to accumulate the production rate was regained. The glucose uptake was further investigated when chemostat cultures growing at different dilution rates were exposed to glucose pulses. The maximal glucose uptake capacity was found to be dependent on the initial specific growth rate. Furthermore, the adaptation to high glucose concentrations was faster at high dilution rates than at low dilution rates.     

Periodic optimization of continuous microbial growth processes

Steady-state operation of continuous bioreactors is not necessarily the optimum type of operation. The method of pi-criterion is used in this work to determine whether periodic variation of the dilution rate can enhance the performance of continuous fermentation processes. It is found that the presence of time delay in the dynamic response of the chemostat renders a periodic operation of bioreactors, used for biomass production, superior to any steady-state operation. Also, employing Williams' structured model it is shown that cycling improves the average protein productivity.     

Modeling lipid accumulation in oleaginous fungi in chemostat cultures: I. Development and validation of a chemostat model for Umbelopsis isabellina

Lipid-accumulating fungi may be able to produce biodiesel precursors from agricultural wastes. As a first step in understanding and evaluating their potential, a mathematical model was developed to describe growth, lipid accumulation and substrate consumption of the oleaginous fungus Umbelopsis isabellina (also known as Mortierella isabellina) in submerged chemostat cultures. Key points of the model are: (1) if the C-source supply rate is limited, maintenance has a higher priority than growth, which has a higher priority than lipid production; (2) the maximum specific lipid production rate of the fungus is independent of the actual specific growth rate. Model parameters were obtained from chemostat cultures of U. isabellina grown on mineral media with glucose and NH₄ ⁺. The model describes the results of chemostat cultures well for D > 0.04 h⁻¹, but it has not been validated for lower dilution rates because of practical problems with the filamentous fungus. Further validation using literature data for oleaginous yeasts is described in part II of this paper. Our model shows that not only the C/N-ratio of the feed, but also the dilution rate highly influences the lipid yield in chemostat cultures.     

Soluble microbial products (SMP) in anaerobic chemostats

The production of soluble microbial products (SMP) in anaerobic systems was evaluated using chemostat reactors. Results from steady-state and tracer experiments with (14)C-glucose and (14)C-acetate showed that significant amounts of SMP were produced during the acidogenesis of glucose, but that SMP did not accumulate during methanogenesis from acetate. In addition, at a retention time of 40 days, SMP comprised almost all of the effluent COD from the glucose-fed chemostat. For shorter retention times, as low as 10 days, the SMP concentration remained almost constant, but its significance in the effluent COD was reduced due to the accumulation of intermediate volatile fatty acids. The results from a (14)C-tracer experiment in the glucose-fed chemostat were used to evaluate the importance of including SMP formation and degradation in kinetic modeling of the methanogenic chemostats. Three models were evaluated: a model without SMP production, a model with SMP production but no degradation, and a model with SMP production and degradation, The results of this kinetic analysis indicate that the model that includes SMP production and degradation was the only one able to adequately represent the fate of (14)C in the tracer experiment. The kinetic parameters were successfully used to predict steady-state concentrations of SMP and to characterize the formation and degradation characteristics of the SMP. (c) 1994 John Wiley & Sons, Inc.     

Vancomycin production is enhanced in chemostat culture with biomass-recycle

Production of the glycopeptide antibiotic vancomycin by Amycolatopsis orientalis ATCC 19795 was examined in phosphate-limited chemostat cultures with biomass-recycle, employing an oscillating membrane separator, at a constant dilution rate (D= 0. 14 h-1). Experiments made under low agitation conditions (600 rpm) showed that the biomass concentration could be increased 3.9-fold with vancomycin production kinetics very similar to that of chemostat culture without biomass-recycle. The specific production rate (qvancomycin) was maximal when the biomass-recycle ratio (R) was 0.13 (D= 0.087 h-1). When the dissolved oxygen tension dropped below 20% (air saturation), the biomass and vancomycin concentrations decreased and an unidentified red metabolite was released into the culture medium. Using increased agitation (850 rpm), used to maintain the dissolved oxygen tension above 20% air saturation, maximum increases in biomass concentration (7.9-fold) and vancomcyin production 1.6-fold (0.6 mg/g dry weight/h) were obtained when R was 0.44 (D= 0.056 h -1) compared to chemostat culture without biomass-recycle. Moreover, at this latter recycle ratio the volumetric vancomycin production rate was 14.7 mg/L/h (a 7-fold increase compared to chemostat culture without biomass-recycle). These observations encourage further research on biomass-recycling as a means of optimising the production of antibiotics.     

The regulatory effect of fermentable sugar levels on the production of leukotoxin by Actinobacillus actinomycetemcomitans

The relationship between sugar availability and RTX (repeats in toxin) cytotoxin (leukotoxin) production in the periodontopathic bacterium, Actinobacillus actinomycetemcomitans, was investigated using a chemostat. A. actinomycetemcomitans 301-b produced significant amounts of leukotoxin in anaerobic fructose-limited chemostat cultures at a dilution rate of 0.15 h⁻¹ and at pH 7.0. When the growth limitation was relieved by pulsing the cultures with 50 or 150 mM fructose (final concentrations), leukotoxin production immediately stopped and the amount of cellular leukotoxin decreased until the culture was returned to fructose-limited conditions. Leukotoxin synthesis was also repressed in the chemostat cultures by pulsing with glucose but not with the non-fermentable sugar analog, α-methyl-d-glucoside. Leukotoxin production was also repressed by fructose in chemostat cultures of ATCC 33384, which is generally recognized as a non-leukotoxin-producing or minimally leukotoxic strain.     

Use of chemostat data for modelling extracellular-inulinase production by Kluyveromyces marxianus in a high-cell-density fed-batch process

Production of extracellular inulinase by low-cell-density (2 kg dry weight·m⁻³) sucrose-limited chemostat cultures of Kluyveromyces marxianus obeyed saturated kinetics at dilution rates ranging from 0.02 to 0.5 h⁻¹. A non-structured Monod-type equation, describing the relation between specific growth rate and specific extracellular-inulinase production rate, was used to fit experimental data. THis equation was subsequently incorporated in a model for the production of biomass and extracellular inulinase in a high-cell-density (> 100 kg dry weight·m⁻³) fed-batchculture of K. marxianus grown on sucrose. The model adequately described biomass production in the fed-batch culture. However, the production of extracellular inulinase in the fed-batch process was slightly higher than predicted by the model. This observation may be related to differences in growth conditions between in the chemostat and fed-batch cultures.     

Dynamics of chemostat in which one microbial population grows on multiple complementary nutrients

The equations of a chemostat in which one microbial population grows on multiple rate-limiting nutrients are formulated. The dynamics of a chemostat involving growth on complementary nutrients is studied through stability analysis of the system of equations. Some conditions are derived that relate the dynamic behavior of the chemostat to its operating conditions and can be applied to any model for the specific growth rate of the population. It is shown that, if maintenance of the population is neglected, the system exhibits no sustained or damped oscillations. If maintenance of the population is considered, damped oscillations are observed for some operating conditions.     

The kinetics of conjugative plasmid transmission: fit of a simple mass action model.

A mass action model for the infectious transmission of conjugative plasmids and procedures to estimate its parameters are presented. The suitability of this model as an analog of the kinetics of conjugative plasmid transmission is examined with batch and chemostat populations of Escherichia coli K-12 and three of its plasmids, F-lac-pro, R1 (Km-Cm-Ap), and R1-drd-19 (Km-Cm-Ap). Evidence is presented that this mass action model, with a unique and constant rate parameter, represents a reasonable analog of the kinetics of plasmid transfer for bacterial populations dividing at a constant rate in either exponentially growing cultures or at equilibrium in chemostats. As anticipated from this model magnitudes of the transfer rate constant for these plasmids appear to be relatively insensitive to both total cell density and the donor-recipient ratio. For all plasmids, the value of the transfer rate constant in rapidly dividing (exponentially growing) cultures is considerably greater than its corresponding value in slowly dividing, chemostat equilibrium cultures and the values of the transfer rate constant of the permanently derepressed plasmids F-lac-pro and R1-drd-19 are considerably greater than that of the wild-type, repressed transfer plasmid R1. The implications of this apparent fit to a mass action model are discussed and a recommendation is made to use the transfer rate constant as the measure of the fertility of conjugative plasmids.     

Modeling of olive oil degradation and oleic acid inhibition during chemostat and batch cultivation of Bacillus thermoleovorans IHI-91

Olive oil degradation by the thermophilic lipolytic strain Bacillus thermoleovorans IHI-91 in chemostat and batch culture was modeled to obtain a general understanding of the underlying principles and limitations of the process and to quantify its stoichiometry. Chemostat experiments with olive oil as the sole carbon source were successfully described using the Monod chemostat model extended by terms for maintenance requirements and wall growth. Maintenance requirements and biomass yield coefficients were in the range reported for mesophiles. For a chemostat experiment at D = 0.3 h(-1) the model was validated up to an olive oil feed concentration of about 3.0 g L(-1) above which an inhibitory effect occurred. Further analysis showed that the liberated oleic acid is the main cause for this inhibition. Using steady-state oleic acid concentrations measured in chemostat experiments with olive oil as substrate it was possible to derive a kinetic expression for oleic acid utilization, showing that a concentration of 430 mg L(-1) leads to a complete growth inhibition. Oleic acid accumulation observed during batch fermentations can be predicted using a model involving growth-associated lipase production and olive oil hydrolysis. Simulations confirmed that this accumulation is the cause for the sudden growth cessation occurring in batch fermentations with higher olive oil start concentrations. Further, an oscillatory behavior, as observed in some chemostat experiments, can also be predicted using the latter model. This work clearly demonstrates that thermophilic lipid degradation by Bacillus thermoleovorans IHI-91 is limited by long-chain fatty acid beta-oxidation rather than oil hydrolysis.     

Ammonium ion affecting tylosin production by Streptomyces fradiae NRRL 2702 in continuous culture

Nitrogen regulation in tylosin production by Streptomyces fradiae NRRL 2702 was studied in chemostat culture using a soluble synthetic medium. The maximum value of specific tylosin formation rate ( q _TYL) was 1·13 mg g⁻¹ h⁻¹ at the specific growth rate (μ) of 0·05 h⁻¹, and q _TYL decreased with increasing levels of the specific growth rate after reaching a rate of 0·1 h⁻¹. The optimum conditions for tylosin formation were that the specific ammonium ion uptake rate ( q _N) and μ were 0·13 mmol g⁻¹ h⁻¹ and 0·05 h⁻¹, respectively. The specific formation rates of threonine dehydratase (TDT) and tylosin were repressed by high levels of specific ammonium ion uptake rate. This study showed the adaptation to chemostat cultures of the nitrogen regulation of tylosin fermentations.     

Growth-rate-independent production of recombinant glucoamylase by Fusarium venenatum JeRS 325

Most recombinant proteins generated in filamentous fungi are produced in fed-batch cultures, in which specific growth rate normally decreases progressively with time. Because of this, such cultures are more suited to the production of products that are produced efficiently at low-growth rates (e.g., penicillin) than to products which are produced more efficiently at high-growth rates (e. g., glucoamylase). Fusarium venenatum A3/5 has been transformed (JeRS 325) to produce Aspergillus niger glucoamylase (GAM) under the control of the Fusarium oxysporum trypsin-like protease promoter. No glucoamylase was detected in the culture supernatant during exponential growth of F. venenatum JeRS 325 in batch culture. In glucose-limited chemostat cultures, GAM concentration increased with decrease in dilution rate, but the specific production rate of GAM (g GAM [g biomass](-1) h(-1)) remained approximately constant over the dilution-rate range 0.05 h to 0.19 h(-1), i.e., the recombinant protein was produced in a growth-rate-independent manner. The specific production rate decreased at dilution rates of 0.04 h(-1) and below. Specific production rates of 5.8 mg and 4.0 mg GAM [g biomass](-1) h(-1) were observed in glucose-limited chemostat cultures in the presence and absence of 1 g mycological peptone L(-1). Compared to production in batch culture, and for the same final volume of medium, there was no increase in glucoamylase production when cultures were grown in fed-batch culture. The results suggested that a chemostat operated at a slow dilution rate would be the most productive culture system for enzyme production under this trypsin-like promoter.