Co-immobilized Nitrosomonas europaea and Nitrobacter agilis cells: validation of a dynamic model for simultaneous substrate conversion and growth in kappa-carrageenan gel beads

A dynamic model for two microbial species immobilized in a gel matrix is presented and validated with experiments. The model characterizes the nitrification of ammonia with Nitrosomonas europaea and Nitrobacter agilis co-immobilized in K-carrageenan gel beads. The model consists of kinetic equations for the microorganisms and mass transfer equations for the substrates and products inside and outside the gel beads. The model predicts reactor bulk concentrations together with the substrate consumption rate, product formation, and biomass growth inside the gel beads as a function of time. A 50-day experiment with immobilized cells in a 3.3-dm(3) air-lift loop reactor was carried out to validate the model. The parameter values for the model were obtained from literature and separate experiments. The experimentally determined reactor bulk concentrations and the biomass distribution of the two microorganisms in the gel beads were well predicted by the model. A sensitivity analysis of the model for the given initial values indicated the most relevant parameters to be the maximum specific growth rate of the microorganisms, the diffusion coefficient of oxygen, and the radius of the beads. The dynamic model provides a useful tool for further study and possible control of the nitrification process. (c) 1994 John Wiley & Sons, Inc.     

A new combined differential-discrete cellular automaton approach for biofilm modeling: application for growth in gel beads

The theoretical basis and quantitative evaluation of a new approach for modeling biofilm growth are presented here. Soluble components (e.g., substrates) are represented in a continuous field, whereas discrete mapping is used for solid components (e.g., biomass). The spatial distribution of substrate is calculated by applying relaxation methods to the reaction-diffusion mass balance. A biomass density map is determined from direct integration in each grid cell of a substrate-limited growth equation. Spreading and distribution of biomass is modeled by a discrete cellular automaton algorithm. The ability of this model to represent diffusion-reaction-microbial growth systems was tested for a well-characterized system: immobilized cells growing in spherical gel beads. Good quantitative agreement with data for global oxygen consumption rate was found. The calculated concentration profiles of substrate and biomass in gel beads corresponded to those measured. Moreover, it was possible, using the discrete spreading algorithm, to predict the spatial two- and three-dimensional distribution of microorganisms in relation to, for example, substrate flux and inoculation density. The new technique looks promising for modeling diffusion-reaction-microbial growth processes in heterogeneous systems as they occur in biofilms.     

Dynamic modeling of immobilized cell reactor: application to ethanol fermentation

A mathematical model has been developed for the unsteady-state operation of an immobilized cell reactor. The substrate solution flows through a mixed-flow reactor in which cells immobilized in gel beads are retained. The substrate diffuses from the external surface of the gel beads to some internal location where reaction occurs. The product diffuses from the gel beads into liquid medium which flows out of the reactor. The model combines simultaneous diffusion and reaction, as well as cell growth, and it can predict how the rates of substrate consumption, product formation, and cell growth vary with time and with initial conditions. Ethanol fermentation was chosen as a representative reaction in the immobilized cell reactor, and numerical calculations were carried out. Excellent agreement was observed between model predictions and experimental data available in the literature.     

Oxygen supply to immobilized cells: 5. Theoretical calculations and experimental data for the oxidation of glycerol by immobilized Gluconobacter oxydans cells with oxygen or p-benzoquinone as electron acceptor

Theoretical calculations of reaction kinetics were done for one-step reactions catalyzed by cells immobilized in spherical beads. The reactions catalyzed by free cells were assumed to obey Michaelis-Menten kinetics for a one-substrate reaction. Both external (outside the beads) and internal (inside the beads) mass transfer of the substrate were considered for the immobilized preparations. The theoretical calculations were compared with experimental data for the oxidation of glycerol to dihydroxyacetone by Gluconobacter oxydans cells immobilized in calcium alginate gel. Glycerol was present in excess so that the reaction rate was limited by oxygen. The correlation between experimental data and theoretical calculations was quite good. The calculations showed how the overall effectiveness factor was influenced by, for example, the particle size and the cell density in the beads. In most cases the reaction rate was mainly limited by internal mass transfer of the substrate (oxygen). As shown previously, p-benzoquinone can replace oxygen as the electron acceptor in this reaction. The same equations for reaction kinetics and mass transfer were used with p-benzoquinone as the rate-limiting substrate. Parameters such as diffusivity, maximal reaction rate, and K were, of course, different. In this case also, the correlation between the model and the experimental results was quite good. Much higher production rates were obtained with p-benzoquinone as the electron acceptor compared to when oxygen was used. The reasons for this fact were that p-benzoquinone gave a higher maximal reaction rate for free cells and the solubility of p-benzoquinone was higher than for oxygen. Different methods of increasing the rate of microbial oxidation reactions are discussed.     

l-serine production from methanol and glycine with an immobilized methylotroph

l-Serine production from methanol and glycine was attempted using immobilized resting cells of a methylotroph, Protomonas extorquens NR 1, under automatically controlled conditions. A Ca-alginate system was selected. The conditions for l-serine formation were optimized at 30°C. A concentration of glycine 100 g·l⁻¹ which was the optimum concentration for l-serine production by free resting cells was used in the reaction mixture. The optimum concentrations of methanol and dissolved oxygen were 20 g·l⁻¹ and 5 ppm, respectively. Under the optimum conditions, 11.3 g·l⁻¹ of l-serine was produced within 36 h. The selectivities (mole of l-serine/mole of substrate consumed) of l-serine from methanol and glycine were 4.5% and 95.1%, respectively. The size of gel beads affected the l-serine formation rate. The initial rate of l-serine formation decreased with an increase in the size of beads. However, the l-serine formation rate increased at elevated concentrations of dissolved oxygen, even with large sized beads. This result implies that the oxygen diffusion inside the gel beads limited the l-serine formation rate. The observed effectiveness factor of the immobilized cells could be estimated by the theoretical effectiveness factor of the zero-order reaction with respect to the dissolved oxygen.Repeated use was not feasible without reactivation of the immobilized cells. Reusability was examined by reactivation of the immobilized resting cells in appropriate media for 12 h. The reactivated immobilized resting cells were used again in the next cycle. By this procedure, several cycles of l-serine formation were made possible.     

Effect of initial biomass concentration on the growth of immobilized Nitrosomonas europaea

Nitrosomonas europaea was immobilized in carrageenan-gel beads with a low and a high biomass concentration (100-fold difference). Under growth conditions in a continuous air-lift loop reactor, a low initial concentration yielded a few large micro-colonies per bead, whereas a high initial biomass concentration resulted in many small micro-colonies per bead. The macroscopic consumption rate of the latter was three times higher under the circumstances applied. This is also predicted by our colony-expansion model when diffusion limitation over the micro-colonies is incorporated. This model also predicts that diffusion limitation over the ultimate colonies is negligible when the initial biomass concentration exceeds 0.5 kg·m^–3 of carrageenan gel.     

Influence of growth behaviour and physiology of alginate-entrapped microorganisms on the oxygen consumption

Summary The ability of alginate-entrapped microorganisms to supply oxygen was determined with regard to physiology and growth behavior of the cells. Oxygen diffusion through an alginate film containing different concentrations of Pseudomonas putida or Saccharomyces cerevisiae was measured. Oxygen diffusion decreased when the cell loading increased. Dependent on the physiological behavior of these organisms the course of the oxygen concentration under the gel film is quite different. In further experiments an Effectiveness-Factor of oxygen uptake of alginate beads with Saccharomyces cerevisiae or Aspergillus niger was determined in relation to the growth behavior of the organisms. The effectiveness factor is always higher when the biomass is concentrated in the outer region of the gel beads as if the microorganisms are distributed homogeneously in the alginate. Considering these results it is not possible to make a general statement on the ability of microorganisms in alginate to supply oxygen. The physiology and the growth behavior of the immobilized organisms have to be considered in any case.     

Effective diffusivity of galactose in calcium alginate gels containing immobilized Zymomonas mobilis.

The effective diffusivity of galactose was measured for calcium alginate gel membranes containing immobilized live Zymomonas mobilis cells at concentrations ranging from 0 to 150 g dry wt/L of gel. Since galactose is not taken up by living Z. mobilis organisms, the diffusion of this representative six-carbon sugar could be studied independently of sugar consumption. Various immobilized biomass loadings were achieved by two different techniques: addition of biomass at known concentrations to the sodium alginate solution before membrane formation and growth of cells in the gel to various biomass concentrations. The highest immobilized cell concentration, attained by in situ growth, corresponds to the maximum of this system, as growth beyond this maximum concentration led to disintegration of the gel membrane. The galactose effective diffusivity measurements for both methods of immobilized cell loading overlap within experimental error and follow the same general monotonic decline with entrapped biomass concentration. Most of the data fall below the upper bound predicted by Hashin and Shtrikman (1962) and show good agreement with the random pore model of Wakao and Smith (1962, 1964). Available effective diffusivity data from the literature provide evidence that the random pore model is an excellent predictor of sugar effective diffusivity in gel immobilized cell systems in general.     

Plasmid inheritability and biomass production: comparison between free and immobilized cell cultures of Escherichia coli BZ18(pTG201) without selection pressure.

Maintenance of the plasmid pTG201 in Escherichia coli BZ18 was studied for both free and immobilized cells during chemostat culture, in the absence of the antibiotic against which resistance was plasmid encoded. Electron microscopic observations of immobilized proliferant cells within carrageenan gel beads showed high cell concentrations and growth into distinct cavities. The plasmid which coded for the catechol 2,3-dioxygenase activity was stably maintained during 80 generations in the case of immobilized cells. A theoretical analysis founded on the compartmentalization resulting from the immobilized growth conditions was described. However, the model still showed a plasmid stability inferior to that determined experimentally. Hypotheses dealing with physiological changes of immobilized cells were presented. In addition, the high cell concentrations obtained in the outer 50 microns of the carrageenan gel beads gave a biomass productivity within this useful volume which was 20 times higher than in free-cell cultures.     

Studies on the respiration rate of free and immobilized cells of Cephalosporium acremonium in cephalosporin C production

Bioprocesses using filamentous fungi immobilized in inert supports present many advantages when compared to conventional free cell processes. However, assessment of the real advantages of the unconventional process demands a rigorous study of the limitations to diffusional mass transfer of the reagents, especially concerning oxygen. In this work, a comparative study was carried out on the cephalosporin C production process in defined medium containing glucose and sucrose as main carbon and energy sources, by free and immobilized cells of Cephalosporium acremonium ATCC 48272 in calcium alginate gel beads containing alumina. The effective diffusivity of oxygen through the gel beads and the effectiveness factors related to the respiration rate of the microorganism were determined experimentally. By applying Monod kinetics, the respiration kinetics parameters were experimentally determined in independent experiments in a complete production medium. The effectiveness factor experimental values presented good agreement with the theoretical values of the approximated zero‐order effectiveness factor, considering the dead core model. Furthermore, experimental results obtained with immobilized cells in a 1.7‐L tower bioreactor were compared with those obtained in 5‐L conventional fermentor with free cells. It could be concluded that it is possible to attain rather high production rates working with relatively large diameter gel beads (ca. 2.5 mm) and sucrose consumption‐based productivity was remarkably higher with immobilized cells, i.e., 0.33 gCPC/kg sucrose/h against 0.24 gCPC/kg sucrose/h in the aerated stirred tank bioreactor process. © 1999 John Wiley & Sons, Inc. Biotechnol Bioeng 63: 593–600, 1999.     

Diacetyl production by immobilized citrate-positiveLactococcus lactis subsp.lactis 3022 in the fibrous Ca-alginate gel

Summary Diacetyl production by (Citr^*)Lactococcus lactis subsp.lactis 3022 was found to be an oxygen-dependent reaction. The diacetyl production by the cells immobilized in conventional Ca-alginate gel beads (Diameter: 3 mm) was lower than that of the cells immobilized in Ca-alginate gel fibers (Diameter: 0.2 mm), probably because oxygen transfer to the immobilized cells is better in gel fibers than in gel beads.     

Effect of growing conditions of recombinantE.coli in carrageenan gel beads upon biomasse production and plasmid stability

Summary The biomass production and the plasmid stability of immobilizedE. coli cells in K-carrageenan gel beads were investigated in continuous cultures. Several factors, such as inoculum size, gel bead volume and gel concentration were examined in order to increase the cell concentration inside the immobilized cell reactor, and therefore to increase the overall productivity.     

Enhancement and stabilization of the production of glucoamylase by immobilized cells of Aureobasidium pullulans in a fluidized-bed reactor

Summary Glucoamylase production by Aureobasidium pollulans A-124 was compared in free-living cells, cells immobilized in calcium alginate gel beads aerated on a rotary shaker (agitation rate 150 rpm), and immobilized cells aerated in an air bubble column reactor. Fermentation conditions in the bioreactor were established for bead concentration, substrate (starch) concentration, calcium chloride addition to the fermentation medium, and rate of aeration. Production of glucoamylase was optimized at approximately 1.5 units of enzyme activity/ml medium in the bioreactor under the following conditions: aeration rate, 2.0 vol air per working volume of the bioreactor (280 ml) per minute; gel bead concentration, 30% of the working volume; substrate (starch) concentration, at 0.3% (w/v); addition of calcium chloride to the medium at a final concentration of 0.01 M. Productivity levels were stabilized through the equivalent of ten batches of medium with the original inoculum of immobilized beads. Offprint requests to: M. Petruccioli     

固定化好氧微生物细胞的供氧问题

<正> 固定化细胞由于有着独特的优点,正得到广泛的研究,有的取得了很好的成果,已应用于工业、医药、食品等方面,但也存在着一些问题,阻碍了该技术更广泛和有效地应用。对于用好氧微生物作为固定化细胞时,氧气的供应就是个关键性的问题,因为     

Quantitative determination of the spatial distribution of pure- and mixed-strain immobilized cells in gel beads by immunofluorescence

A new method was developed to detect and quantify two strains, Lactococcus lactis subsp. lactis biovar. diacetylactis MD and Bifidobacterium longum ATCC 15707, immobilized separately and co-immobilized in gel beads, using specific polyclonal antibodies and confocal laser-scanning microscopy. The establishment of biomass concentration profiles for each strain was measured during colonization of beads using successive pH-controlled batch fermentations. Growth occurred preferentially in 200- and 300-microm peripheral layers of the beads for L. diacetylactis and B. longum, respectively. Repeated-batch cultures with immobilized cells permitted the production of a mixed culture containing a non-competitive strain of bifidobacteria, as a result of immobilized-cell growth and high cell-release activity from the beads. During co-immobilized fermentations, there were no apparent interactions between the strains.     

Dynamics of artificially immobilized Nitrosomonas europaea: Effect of biomass decay

The dynamics of growth and death of immobilized Nitrosomonas europaea were studied. For this, the death rate of suspended cells was determined in the absence of ammonium or oxygen by following the loss of respiration activity and by fluorescein-diacetate (FDA)/lissamine-green staining techniques. The death rates obtained (1.06 x 10(-6) s(-1) or 4.97 x 10(-6) s(-1) in the absence of oxygen or ammonium, respectively) were incorporated in a dynamic growth model and the effects on the performance of the immobilized-cell process illustrated by model simulations.These model simulations and experimental validation show that if decay of biomass occurs the biomass concentration in the center of the bead decreases. As a result, the systems react slower to changes in substrate concentrations than if all cells remain viable.To show that cells in the center of the bead died, the FDA and lissamine-green staining techniques were adapted for immobilized cells. It was shown that biomass decay occurred, especially in the center of the bead; the amount of cells decreased there, and the remaining cells were all stained with lissamine green indicating cell death. After the substrate availability was decreased, also cells near the surface of the bead lost their viability. The number of viable cells increased again after increasing the substrate concentration as the result of cell multiplication. At low substrate concentrations and low hydraulic retention times, as for example in the treatment of domestic wastewater, the death rate of cells is thus an important parameter for the performance of the immobilized-cell system. (c) 1997 John Wiley & Sons, Inc. Biotechnol Bioeng 55: 630-641, 1997.     

Determination of diffusion coefficients and diffusion characteristics for chlorferon and diethylthiophosphate in Ca-alginate gel beads

Diffusion characteristics of chlorferon and diethylthiophosphate (DETP) in Ca-alginate gel beads were studied to assist in designing and operating bioreactor systems. Diffusion coefficients for chlorferon and DETP in Ca-alginate gel beads determined at conditions suitable for biodegradation studies were 2.70 x 10(-11) m(2)/s and 4.28 x 10(-11) m(2)/s, respectively. Diffusivities of chlorferon and DETP were influenced by several factors, including viscosity of the bulk solution, agitation speed, and the concentrations of diffusing substrate and immobilized cells. Diffusion coefficients increased with increasing agitation speed, probably due to poor mixing at low speed and some attrition of beads at high speeds. Diffusion coefficients also increased with decreasing substrate concentration. Increased cell concentration in the gel beads caused lower diffusivity. Theoretical models to predict diffusivities as a function of cell weight fraction overestimated the effective diffusivities for both chlorferon and DETP, but linear relations between effective diffusivity and cell weight fraction were derived from experimental data. Calcium-alginate gel beads with radii of 1.65-1.70 mm used in this study were not subject to diffusional limitations: external mass transfer resistances were negligible based on Biot number calculations and effectiveness factors indicated that internal mass transfer resistance was negligible. Therefore, the degradation rates of chlorferon and DETP inside Ca-alginate gel beads were reaction-limited.     

Cephalosporin C production by immobilized Cephalosporium acremonium cells in a repeated batch tower bioreactor

The industrial production of antibiotics with filamentous fungi is usually carried out in conventional aerated and agitated tank fermentors. Highly viscous non-Newtonian broths are produced and a compromise must be found between convenient shear stress and adequate oxygen transfer. In this work, cephalosporin C production by bioparticles of immobilized cells of Cephalosporium acremonium ATCC 48272 was studied in a repeated batch tower bioreactor as an alternative to the conventional process. Also, gas-liquid oxygen transfer volumetric coefficients, k(L)a, were determined at various air flow-rates and alumina contents in the bioparticle. The bioparticles were composed of calcium alginate (2.0% w/w), alumina ( < 44 micra), cells, and water. A model describing the cell growth, cephalosporin C production, oxygen, glucose, and sucrose consumption was proposed. To describe the radial variation of oxygen concentration within the pellet, the reaction-diffusion model forecasting a dead core bioparticle was adopted. The k(L)a measurements with gel beads prepared with 0.0, 1.0, 1.5, and 2.0% alumina showed that a higher k(L)a value is attained with 1.5 and 2.0%. An expression relating this coefficient to particle density, liquid density, and air velocity was obtained and further utilized in the simulation of the proposed model. Batch, followed by repeated batch experiments, were accomplished by draining the spent medium, washing with saline solution, and pouring fresh medium into the bioreactor. Results showed that glucose is consumed very quickly, within 24 h, followed by sucrose consumption and cephalosporin C production. Higher productivities were attained during the second batch, as cell concentration was already high, resulting in rapid glucose consumption and an early derepression of cephalosporin C synthesizing enzymes. The model incorporated this improvement predicting higher cephalosporin C productivity.