Modeling of growth kinetics for Pseudomonas spp. during benzene degradation

A modeling study was conducted on growth kinetics of three different strains of Pseudomonas spp. (Pseudomonas aeruginosa, Pseudomonas fluorescens, Pseudomonas putida) during benzene degradation to determine optimum substrate concentrations for most efficient biodegradation. Batch tests were performed for eight different initial substrate concentrations to observe cell growth and associated substrate degradation using benzene-adapted cells. Kinetic parameters of both inhibitory (Haldane–Andrews, Aiba–Edwards) and noninhibitory (Monod) models were fitted to the relationship between specific growth rate and substrate concentration obtained from the growth curves. Results showed that half-saturation constant of P. fluorescens was the highest among the three strains, indicating that this strain could grow well at high concentration, while P. putida could grow best at low concentration. The inhibition constant of P. aeruginosa was the highest, implying that it could tolerate high benzene concentration and therefore could grow at a wider concentration range. Estimated specific growth rate of P. putida was lower, but half-saturation constant was higher than those from literature study due to high substrate concentration range used in this study. These two kinetic parameters resulted in substantial difference between Monod- and Haldane-type models, indicating that distinction should be made in applying those models.     

Effects of high product and substrate inhibitions on the kinetics and biomass and product yields during ethanol batch fermentation

In ethanol fermentation, instantaneous biomass yield of the yeast Saccharmoyces cerevisiae was found to decrease (from 0.156 to 0.026) with increase in ethanol concentration (from 0 to 107 g/L), indicating a definite relationship between biomass yield and product inhibition. A suitable model was proposed to describe this decrease which incorporates the kinetic parameters of product inhibition rather than pure empirical constants. Substrate inhibition was found to occur when substrate concentration is above 150 g/L. A similar definite relationship was observed between substrate inhibition and instantaneous biomass yield. A simple empirical model is proposed to describe the declines in specfic growth rate and biomass yield due to substrate inhibition. It is observed that product inhibition does not have any effect on product yield whereas substrate inhibition significantly affects the product yield, reflecting a drop in overall product yield from 0.45 to 0.30 as the initial substrate concentration increases from 150 to 280 g/L. These results are expected to have a significant influence in formulating optimum fermentor design variables and in developing an effective control strategy for optimizing ethanol producitivity.     

Fermentation kinetics including product and substrate inhibitions plus biomass death: a mathematical analysis

We propose an analytical solution of the kinetic equations describing fermentations. Equations are solved in phase space, i.e. the biomass concentration is written explicitly as a function of the substrate concentration. These results hold even when cell death and an arbitrary number of substrate/product inhibitions are accounted for. Moreover, constant yield needs not be assumed.     

Modeling the kinetics of vinyl chloride cometabolism by an ethane-grown Pseudomonas sp

Pseudomonas sp strain EA1 was isolated under aerobic conditions using ethane as the sole organic carbon and electron donor source, with an observed yield of 0.99 mg total suspended solids/mg ethane (0.85 mg volatile suspended solids / mg ethane) and a maximum specific growth rate of 0.015 d(-1). When grown on ethane, EA1 cometabolizes vinyl chloride (VC) at a maximum rate of 0.350 micromol/mg volatile suspended solids/d and with a half saturation constant of 0.62 microM VC. The rate of VC use by EA1 is twice as high when ethane is also provided, even though consumption of ethane is almost completely inhibited until VC is consumed. The presence of ethane also reduces the total amount of VC cometabolized. A model was developed that adequately describes the batch kinetics of VC cometabolism in the presence and absence of ethane, as well as ethane metabolism in the presence and absence of VC. Terms are included that increase the initial rate of VC use in the presence of ethane (according to the ratio of initial ethane concentration to the half saturation coefficient) but decrease the total amount of VC cometabolized. Parameter estimates for the model were obtained using a step-wise experimental approach, with varying initial concentrations of VC and ethane. Strain EA1 completely dechlorinates VC in the presence and absence of ethane. Measurements of soluble chemical oxygen demand indicate that approximately 50% of the VC consumed is mineralized, with the balance released as soluble, nonchlorinated products. Ethene is not used as a substrate by EA1 but it does inhibit ethane metabolism and VC cometabolism. In mixtures containing all three compounds, more VC is degraded and at a faster rate compared to VC plus ethene. The results suggest that ethane-enhanced biodegradation of VC may contribute to VC removal at the aerobic fringe of groundwater plumes undergoing reductive dechlorination.     

Comparison of substrate utilization and growth kinetics between immobilized and suspended Pseudomonas cells

A methodology is described for measurement if immobilized and suspended cell growth and substrate utilization kinetics parameters. Substrate utilization and growth kinetics were compared between immobilized and suspended cells for toluene degrading Pseudomonas strains K3-2 and 2,4-dichlorophenoxyacetic acid (2,4-D) degrading strain DBO131(pR0101), respectively. Kinetic parameters were estimated using nonlinear parameter estimation methods and compared between the immobilized and suspended Pseudomonas cells to determine the effect of immobilization on cellular growth and substrate utilization. Factors influencing the experimental design included calculated oxygen flux rates, primary carbon substrate flux rates, and shear stresses on the immobilize cell. Statistical interpretation of the cellular reaction rate parameters indicates that only the growth kinetics of the toluene system were significantly altered upon immobilization. Substrate utilization kinetics remained unchanged upon immobilization. The substrate growth associated half-saturation constant (K(g)) for the toluene system increased by 30-fold and the maximum specific growth rate (mu(max)) decreased by 2-fold upon immobilization. Implication of these results for experimental determination of cellular kinetic parameters and for immobilization cell bioreactors design are discussed. (c) 1993 John Wiley & Sons, Inc.     

Batch production and growth kinetics of hybridomas

Batch cultures of mouse-mouse hybridoma cell lines were carried out and their growth and production kinetics investigated. Three main cell specific production patterns (expressed as pg IgG/cell x hour) were found, which can be used as a classification system for hybridoma cell lines (groups I–III). Cells showing the highest IgG-production at the beginning of the batch culture (during the lag and the onset of the log-phase) were classified as either group I and II. The difference was that cell lines of group II showed a second high cell specific production at the onset of the stationary and death phases. Cell lines of group III had a quite constant production of antibodies during their growth; but IgG secretion completely stopped after the beginning of the stationary phase. The implications of these three production patterns on the design of a production process are discussed.     

Batch culture kinetics of l-lactate fermentation employing Streptococcus sp. IO-1

We isolated a l-lactate producing cocci which grows at 37°C as the optimal temperature and pH of 7.0 that is capable of converting glucose to l-lactate with a conversion rate greater than 90%. No other stereochemical isomer of lactic acid was detected in the culture broth by enzymatic analysis. The fermentation exhibits typical end product inhibition and this was confirmed by culturing using medium to which 1% lactate was supplemented as the initial inhibitor. Numerical analysis of the cultures which were carried out at different initial sugar concentrations showed that the specific rates for growth, substrate consumption and lactate formation could be expressed using uncompetitive inhibition formulae. Using these equations, it may be possible to estimate the cell density, remaining sugar concentration and product formation at any phase of the batch fermentation without operation.     

Modeling of microbial substrate conversion,growth and product formation in a recycling fermentor

Paracoccus denitrificans and Bacillus licheniformis were grown in a carbon- and energy source-limited recycling fermentor with 100% biomass feedback. Experimental data for biomass accumulation and product formation as well as rates of carbon dioxide evolution and oxygen consumption were used in a parameter optimization procedure. This procedure was applied on a model which describes biomass growth as a linear function of the substrate consumption rate and the rate of product formation as a linear function of the biomass growth rate. The fitting procedure yielded two growth domains for P. denitrificans. In the first domain the values for the maximal growth yield and the maintenance coefficient were identical to those found in a series of chemostat experiments. The second domain could be described best with linear biomass increase, which is equal to a constant growth yield. Experimental data of a protease producing B. licheniformis also yielded two growth domains via the fitting procedure. Again, in the first domain, maximal growth yield and maintenance requirements were not significantly different from those derived from a series of chemostat experiments. Domain 2 behaviour was different from that observed with P. denitrificans. Product formation halts and more glucose becomes available for biomass formation, and consequently the specific growth rate increases in the shift from domain 1 to 2. It is concluded that for many industrial production processes, it is important to select organisms on the basis of a low maintenance coefficient and a high basic production of the desired product. It seems less important that the maximal production becomes optimized, which is the basis of most selection procedures.     

Modeling substrate inhibition of microbial growth

This article presents a general equation for substrate inhibition of microbial growth using a statistical thermodynamic approach. Existing empirical models adapted from enzyme kinetics, for example, the Haldane-Andrews equation, often criticized for not being physically based for microbial growth, are shown to derive from the general equation in this article, and their empirical parameters are shown to be well defined physically. Three sets of experimental data from the literature are used to test the modeling abilities of the general equation to represent experimental data. The results are compared with those obtained by fitting the same data set to a widely used empirical model existing in the literature. The general equation is found to represent all three experimental data sets better than the alternative model tested. In addition, a graphical method existing in enzyme kinetics is successfully adapted and further developed to determine the number of inhibition sites of a basic functional unit of a bacterial cell. (c) 1996 John Wiley & Sons, Inc.     

Secondary substrate utilization of methylene chloride by an isolated strain of Pseudomonas sp.

Secondary substrate utilization of methylene chloride was analyzed by using Pseudomonas sp. strain LP. Both batch and continuously fed reactors demonstrated that this strain was capable of simultaneously consuming two substrates at different concentrations: the primary substrate at the higher concentration (milligrams per liter) and the secondary substrate at the lower concentration (micrograms per liter). The rate of methylene chloride utilization at trace concentrations was greater in the presence of the primary substrate, acetate, than without it. However, when the substrate roles were changed, the acetate secondary substrate utilization rate was less when methylene chloride was present. Thus, substrate interactions are important in the kinetics of secondary substrate utilization. Pseudomonas sp. strain LP showed a preference toward degrading methylene chloride over acetate, whether it was the primary or secondary substrate, providing it was below an inhibitory concentration of ca. 10 mg/liter.     

Production of exopolysaccharide by Pseudomonas sp. ATCC 31461 (Pseudomonas elodea ) using whey as fermentation substrate

An improved strain of Pseudomonas sp. ATCC 31461 (Pseudomonas elodea), capable of producing broth viscosities of 11 000 and 4700 mPa s (cP) when grown in enriched whey permeate and enriched sweet whey broths respectively, was isolated. The isolation was by serial transfers of the parent on lactose-rich and sweet whey broths. Maximum viscosities and biopolymer production were observed in 25% (v/v) whey concentration. In whey concentrations of 50% (v/v) or greater, residual glucose was detected in the broth and biopolymer production was low. This strain is capable of totally utilising the lactose in up to 50% (v/v) whey in 64 h. Enzyme activities suggest that the transport of lactose in P. elodea is by the permease system as opposed to the phosphotransferase system. The location of β-galactosidase is mainly intracellular. The improved strain is able to utilise lactose better than the parent and produce 1.6 times more intracellular β-galactosidase activity compared to the parent. Received: 3 May 1996 / Received revision: 8 August 1996 / Accepted: 10 August 1996     

Influence of substrate and product diffusion on the heterogeneous kinetics of enzymic reversible reactions

When a reversible reaction is catalyzed by a surface bound enzyme, the diffusion of both substrate and product can considerably modify the kinetic properties of the reaction. According to this theoretical analysis, the enzyme activity is decreased due to the presence of substrate and product concentration gradients in the enzyme microenvironment, and the relative kinetic importance of the two diffusion steps mainly depend on the value of a dimensionless criterion inversely proportional to the equilibrium constant. Moreover diffusional effects increase with increasing bound enzyme activity, but decrease with increasing substrate and product concentration. Analytical expressions are established for the limiting values of substrate and product concentrations in the enzyme microenvironment, as well as for the increase in half-maximal-activity substrate concentration in the presence of substrate and product diffusional limitations.     

Extended monod kinetics for substrate, product, and cell inhibition

A generalized form of Monod kinetics is proposed to account for all kinds of product, cell, and substrate inhibition. This model assumes that there exists a critical inhibitor concentration above which cells cannot grow, and that the constants of the Monod equation are functions of this limiting inhibitor concentration. Methods for evaluating the constants of this rate form are presented. Finally the proposed kinetic form is compared with the available data in the literature, which unfortunately is very sparse. In all cases, this equation form fitted the data very well.     

Effects of medium and trace metals on kinetics of carbon tetrachloride transformation by Pseudomonas sp. strain KC.

Under denitrifying conditions, Pseudomonas sp. strain KC transforms carbon tetrachloride (CT) to carbon dioxide via a complex but as yet undetermined mechanism. Transformation rates were first order with respect to CT concentration over the CT concentration range examined (0 to 100 micrograms/liter) and proportional to protein concentration, giving pseudo-second-order kinetics overall. Addition of ferric iron (1 to 20 microM) to an actively transforming culture inhibited CT transformation, and the degree of inhibition increased with increasing iron concentration. By removing iron from the trace metals solution or by removing iron-containing precipitate from the growth medium, higher second-order rate coefficients were obtained. Copper also plays a role in CT transformation. Copper was toxic at neutral pH. By adjusting the medium pH to 8.2, soluble iron and copper levels decreased as a precipitate formed, and CT transformation rates increased. However, cultures grown at high pH without any added trace copper (1 microM) exhibited slower growth rates and greatly reduced rates of CT transformation, indicating that copper is required for CT transformation. The use of pH adjustment to decrease iron solubility, to avoid copper toxicity, and to provide a selective advantage for strain KC was evaluated by using soil slurries and groundwater containing high levels of iron. In samples adjusted to pH 8.2 and inoculated with strain KC, CT disappeared rapidly in the absence or presence of acetate or nitrate supplements. CT did not disappear in pH-adjusted controls that were not inoculated with strain KC.     

Optimal substrate feeding policy for a fed batch fermentation with substrate and product inhibition kinetics

The optimal substrate feeding policy for the fed batch fermentation which is governed by product and substrate inhibited kinetics is presented. The conjunction point between nonsingular and singular arcs and the feeding policy along the singular arc are derived analytically in terms of the concentrations of substrate and product and the liquid volume. Thus, it is possible to determine the feeding rate by monitoring the state variables (i.e., closed loop control). As a specific example, an optimization study of the fed batch fermentation for ethanol production by Saccharomyces cerevisiae is presented. It is shown that the optimal feeding patterns are heavily dependent upon the initial conditions. The point selectivity provides the guideline for predicting the optimal feeding patterns and explaining the results of rigorous mathematical analysis.     

Kinetics of growth and caffeine demethylase production of Pseudomonas sp. in bioreactor

The effect of various initial caffeine concentrations on growth and caffeine demethylase production by Pseudomonas sp. was studied in bioreactor. At initial concentration of 6.5 g l^?1 caffeine, Pseudomonas sp. showed a maximum specific growth rate of 0.2 h^?1, maximum degradation rate of 1.1 g h^?1, and caffeine demethylase activity of 18,762 U g CDW^?1 (CDW: cell dry weight). Caffeine degradation rate was 25 times higher in bioreactor than in shake flask. For the first time, we show highest degradation of 75 g caffeine (initial concentration 20 g l^?1) in 120 h, suggesting that the tested strain has potential for successful bioprocess for caffeine degradation. Growth kinetics showed substrate inhibition phenomenon. Various substrate inhibition models were fitted to the kinetic data, amongst which the double-exponential (R ² = 0.94), Luong (R ² = 0.92), and Yano and Koga 2 (R ² = 0.94) models were found to be the best. The Luedeking–Piret model showed that caffeine demethylase production kinetics was growth related. This is the first report on production of high levels of caffeine demethylase in batch bioreactor with faster degradation rate and high tolerance to caffeine, hence clearly suggesting that Pseudomonas sp. used in this study is a potential biocatalyst for industrial decaffeination.     

Analysis of cell growth kinetics and substrate diffusion in a polymer scaffold.

The cultivation of cartilage cells (chondrocytes) in polymer scaffolds leads to implants that may potentially be used to repair damaged joint cartilage or for reconstructive surgery. For this technique to be medically applicable, the physical parameters that govern cell growth in a polymer scaffold must be understood. This understanding of cell behavior under in vitro conditions, where diffusion is the primary mode of transport of nutrients, may aid in the scale-up of the cartilage generation process. A mathematical model of chondrocyte generation and nutrient consumption is developed here to analyze the behavior of cell growth in a biodegradable polymer matrix for a series of different thickness polymers. Recent literature has implied that the diffusion of nutrients is a major factor that limits cell growth (Freed et al., 1994). In the present paper, a mathematical model is developed to directly relate the effects of increasing cell mass in the polymer matrix on the transport of nutrients. Reaction and diffusion of nutrients in the cell-polymer system are described using the fundamental species continuity equations and the volume averaging method. The volume averaging method is utilized to derive a single averaged nutrient continuity equation that includes the effective transport properties. This approach allows for the derivation of effective diffusion and rate coefficients as functions of the cell volume fraction. The cell volume fraction as a function of time is determined by solution of a material balance on cell mass. Growth functions including the Moser, a modified Contois, and an nth-order heterogeneous growth kinetic model are evaluated through a parameter analysis, and the results are compared to experimental data found in the literature. The results indicate that cellular functions in conjunction with mass transfer processes can account partially for the general trends in the cell growth behavior for various thickness polymers. The Contois growth function appeared to describe the data more accurately in terms of the lag period at early times and the long time limits. However, all kinetic growth functions required variations in the kinetic parameters to fully describe the effects of polymer thickness. This result implies that restricted diffusion of nutrients is not the sole factor limiting cell growth when the thickness of the polymer is changed. Therefore, further experimental data and model improvements are needed to accurately describe the cell growth process.     

Maleylacetate reductase of Pseudomonas sp. strain B13: specificity of substrate conversion and halide elimination.

Maleylacetate reductase (EC 1.3.1.32) plays a major role in the degradation of chloroaromatic compounds by channelling maleylacetate and some chlorinated derivatives into the 3-oxoadipate pathway. Several substituted maleylacetates were prepared in situ by alkaline or enzymatic hydrolysis of dienelactones as the precursor. The conversion of these methyl-, chloro-, fluoro-, and bromo-substituted maleylacetates by malelacetate reductase from 3-chlorobenzoate-grown cells of Pseudomonas sp. strain B13 was studied. Two moles of NADH per mole of substrate was consumed for the conversion of maleylacetates which contain a halogen substituent in the 2 position. In contrast, only 1 mol of NADH was necessary to convert 1 mol of substrates without a halogen substituent in the 2 position. The conversion of 2-fluoro-, 2-chloro-, 2,3-dichloro-, 2,5-dichloro-, 2,3,5-trichloro-, 2-bromo-, 2,3-dibromo-, 2,5-dibromo-, 2-bromo-5-chloro-, 2-chloro-3-methyl-, and 2-chloro-5-methylmaleylacetate was accompanied by the elimination of halide from the 2 position and the temporary occurrence of the corresponding dehalogenated maleylacetate as an intermediate consuming the second mole equivalent of NADH. The properties of the halogen substituents influenced the affinity to the enzyme in the following manner. Km values increased with increasing van der Waals radii and with decreasing electronegativity of the halogen substituents (i.e., low steric hindrance and high electronegativity positively influenced the binding).The Km values obtained with 2-methyl-,3-methyl-, and 5-methylmaleylacetate showed that a methyl substituent negatively affected the affinity in the following order: 2 position >/ = 3 position >> 5 position. A reaction mechanism explaining the exclusive elimination of halogen substituents from the 2 position is proposed.