Process Biotechnology

Microbial Biotechnology

Electronic Journal of Biotechnology ISSN: 0717-3458 Vol. 13 No. 3, Issue of May 15, 2010
© 2010 by Pontificia Universidad Católica de Valparaíso -- Chile Received July 27, 2009 / Accepted November 10, 2009
DOI: 10.2225/vol13-issue3-fulltext-4 How to reference this article

Kinetic analysis and effect of culture medium and coating materials during free and immobilized cell cultures of Bifidobacterium animalis subsp. lactis Bb 12

Hasan Jalili
Department of Food Science, Technology and Engineering
Faculty of Biosystem Engineering
Agricultural Campus
University of Tehran
Karaj, Iran

Hadi Razavi*
Department of Food Science, Technology and Engineering
Faculty of Biosystem Engineering
Agricultural Campus
University of Tehran
Karaj, Iran

Mohammad Safari
Department of Food Science, Technology and Engineering
Faculty of Biosystem Engineering
Agricultural Campus
University of Tehran
Karaj, Iran

Abdeltif Amrane
Ecole Nationale Supérieure de Chimie de Rennes
Université de Rennes and
Université Européenne de Bretagne

*Corresponding author

Financial support: Department of Food Science and Engineering Faculty of Agricultural Engineering and Technology University of Tehran.

Keywords: Bifidobacterium, immobilization, kinetic models, medium composition.


A: growth-associated product formation coefficient (g lactic and acetic acid g-1 biomass)
B: non-growth-associated product formation coefficient (g lactic and acetic acid g biomass-1)
f: toxic power for product inhibition
h: toxic power for biomass inhibition
KS: monod constant (g lactose L-1)
ms: maintenance coefficient (g lactose g−1 biomass h-1)
p: lactic and acetic acid concentration (g L-1)
p’m: the maximum product concentration above which bacteria does not product acid
pm: the maximum product concentrationa bove which bacteria does not grow (gL-1)
s: substrate concentration (g L-1)
x: biomass concentration (g L-1)
xm: maximum biomass concentration
YP/S: product yield coefficient (g lactic and acetic acid g-1)
YX/S: biomass yield coefficient (g biomass g-1 lactose)
μ: specific growth rate (h-1)
μm: maximum specific growth rate (h-1)
Abstract   Reprint (PDF)

Microencapsulation technique appears helpful for more protection of Bifidobacteria against acid inhibitory effect. The effect of medium composition and product inhibitory in free cell culture, as well as the effect of the coating materials in immobilized cells, on biomass growth, acid production and substrate utilization kinetics of Bifidobacterium animalis subsp. lactis Bb 12 in uncontrolled batch fermentation was examined. The Monod and the Luedeking and Piret equations with a product inhibition term involving toxic power terms improved model efficiency for both growth and production. The model showed that media and coating materials had an effect on toxic power terms. Cell immobilization had a positive impact on B. animalis culture. Kinetic analysis revealed the permeability of the coating material had a major impact on culture parameters; permeability increased in the following way: Gellan xanthan < Alginate chitosan < K-Carageenan-locust been, and hence growth parameters xm, maximum specific growth rate (h-1) (µm) and monod constant (g lactose L-1) (KS) followed the same trend as well as the linking between growth and production. The link between the microbial environment and cell growth was highlighted by the model. It was shown that for an increasing protect effect of coating materials against environmental deleterious factors, namely a decrease of the permeability, transport limitation occurred, which was disadvantageous for cell formation.


  • Microorganisms
  • Culture media
  • Immobilization techniques
  • Culture conditions
  • Biomass determination
  • High performance liquid chromatography
    Model development
  • Growth kinetics
  • Statistical analysis
  • Results and Discussion
  • Free cell kinetics
  • Immobilized cell kinetics
  • Concluding Remarks
    Figure 1
    Figure 2
    Table 1
    Table 2

    Owing to the rapid increase concerning the knowledge of intestinal microbiota and modulation factors, interest in supplementing various types of food products with probiotic bacteria has grown significantly. Predominant group of the colonic microflora are bifidobacteria that can account for up to 25% of the total number of present bacteria (Macfarlane and Macfarlane, 1997). Bifidobacteria are gram-positive, non spore forming, non motile, saccharoclasic and usually catalase-negetive anaerobes with various shapes (Gomes and Malcata, 1999). Bifidabacteria have heterofermentative nature and can degrade carbohydrate to acetic acid and lactic acid as major metabolites through fructose-6-phosphate shunt (van der Meulen et al. 2006). These bacteria have several benefits for their host, like human, such as vitamin production, anticarcinogenic activity immunostimulating effect, lowering the cholesterol level and inhibiting the growth of pathogenic bacteria with shift in intestinal pH induced by the acidic metabolites during carbohydrate fermentation (Bozanic and Tratnik, 2001; Dunne and Shanahan, 2002). Bifidobacterium animalis subsp. Lactis is one of the most usual industrial strains due to its industrial properties such as tolerance to oxygen and acid resistance (Janer et al. 2005).

    Bifidobacteria are fastidious bacteria that require complex and expensive media for propagation, such as MRS medium with the addition of growth promoting factors due to their stringent growth requirements. For this reason these bacteria show poor growth in milk, and hence several substances such as whey permeate and yeast extract have been studied for their potential growth-stimulating activity, with the aim of finding a suitable nutrient supplement to incorporate into culture media (Doleyres et al. 2002; Ghaly et al. 2003; Janer et al. 2004).

    Microencapsulation is a process in which cells are retained within an encapsulating matrix or membrane. Microencapsulation of probiotics has been investigated for improving their viability in food products and intestinal tract because microencapsulation leads to better tolerance against high concentration of toxic compounds and toxic loading than free cells (Doleyres and Lacroix, 2005). A variety of polymers, such as alginate, chitosan, locust been gum, K-carageenan, gellan and xanthan have been used to make probiotic microcapsules (Krasaekoopt et al. 2004).

    During Bifidobacteria fermentation, accumulated lactic and acetic acids cause media acidification, which inhibit Bifidobacteria growth, leading to an acidification of membrane cytoplasm, which causes inhibition in nutrient transport by motive force collapse (Desjardins et al. 1990; Balannec et al. 2007). To overcome this inhibition, the pH is maintained during culture at its optimal value for Bifidobacteria growth.

    Mathematical modeling is an important tool to optimize fermentation processes. Several studies are available to describe the effect of lactic acid inhibitory effect on growth and acid production in controlled and uncontrolled pH of lactic acid bacteria (Monteagudo et al. 1997; Altiok et al. 2006; Balannec et al. 2007). However, no model seems to be available in the literature to describe the linking between growth and production rate and the inhibitory effect of organic acids production during uncontrolled pH fermentation for free and microencapsulated Bifidobacteria.

    The purpose of this paper was to (1) investigate the effect of medium composition and product inhibitory effect on kinetics of Bifidobacterium animalis subsp. lactis Bb 12 in uncontrolled batch fermentation. In this aim, for free cell cultivation media three levels of whey permeate was added to skim milk and 10 g L-1 yeast extract; (2) examine the effect of microencapsulation and type of coating materials on kinetics of the organism in uncontrolled bath fermentation. Hence Bifidobacterium animalis subsp. lactis Bb 12 encapsulated in alginate-chitosan, k-carrageenan-locust been and gellan-xanthan gums as coating materials and cultivated in complex medium containing whey permeate, skim milk and yeast extract.



    Bifidobacterium animalis subsp. lactis Bb 12 was obtained from Christian Hansen (HØrsholm, Denmark).

    Culture media

    Complex Commercial whey and skim milk powder were supplied by local factory (Zarin Laban Pars, Karaj, Iran) and rehydrated with distilled water to prepare 6 and 10% total soluble solid solutions respectively. Culture media were prepared from 10 g L-1 yeast extract (Sigma-Aldrich UK) and various amounts of these solutions according to Table 1, which showed that rehydrated whey and skim milk, were added to have a total content (the sum of both) of 90% for the three media used. Therefore, three levels of whey amounts were tested: low (LCWP), medium (MCWP) and high (HCWP) WP concentrations. To avoid any effect of the lactose content, its concentration was adjusted to 55 g L-1 by adding lactose (Merck, Germany, Darmstadt).

    Immobilization techniques

    The method of (Audet et al. 1988) was used for K-carrageenan-locust been gum (Fluka, USA) microencapsulation. Briefly, K-carrageenan-locust been gum powders by 2:1 ratio was prepared and suspended in 350 mL physiological saline (0.85% NaC1) to produce a 3% w/w solution of total polymer. To dissolve the polymer, this solution was heated to 80ºC with magnetic stirring. Following this process the solution was deaerated by autoclaving at 121ºC for 15 min. The solution was then cooled to 45ºC and mixed with 7 mL concentrated B. animalis suspension under aseptic conditions. 650 mL sterile maize oil at 40ºC was mixed with this mixture in stirred reactor at 700-1000 rpm for 2 min. For gelation of small drop cell-polymer, the suspension was cooled to 25ºC. The formed bead was washed and soaked with 0.3 M KCl sterile solution for 2 hrs. Separation of large beads with 0.5-1.0 mm diameter was done by adding 0.3 M KC1 solution wet sieving.

    The technique of (Krasaekoopt et al. 2004) with small modification was used for alginate-chitosan (Fluka, USA) microencapsulation. The cultures were suspended in 20 mL of sterile 0.1% peptone solution to prepare concentrated cell suspension, and 80 mL of 2% (w/v) sterilized sodium alginate solution at 121ºC for 15 min was mixed with the above cell suspension. The cell suspension was injected into sterile 0.05 M CaCl2 by 1 mm needle and formed bead remained 30 min in the same solution for gelation. The beads were rinsed and next kept in sterile 0.1% peptone solution at 4ºC.

    Solution was prepared with dissolved 1.6 g low-molecular-weight chitosan in 360 mL distilled water. Acidification was done by adding 0.4 mL of glacial acetic acid to achieve a final concentration of 0.4% (w/v). The pH was then adjusted to 5.7-6 by adding 1 M NaOH. The volume of solution was adjusted to 400 mL before autoclaving at 121ºC for 15 min. Then, 60 g of washed beads were submerged in 100 mL of chitosan solution and shaken at 100 rpm for 40 min on an orbital shaker for coating. The chitosan-coated beads were washed and kept in 0.1% peptone solution at 4ºC.

    For gellan-xanthan gum (Fluka, USA) immobilization, polymer powder was dispersed in 80ºC deionized water by low stirring. This mixture was kept at 80ºC for 1 hr. After this time, for complete hydration of the polymer, the temperature was raised to 90ºC. Solutions were next autoclaved for 15 min at 121ºC. Concentrated cell suspension prepared with 0.1% peptone water was then mixed with the above polymer solution. The polymer cell mixture was dropped by 1 mm needle to 0.1 M CaCl2 under low stirring. The formed beads were kept 1 hr into CaCl2 solution for hardening.

    Culture conditions

    Free cells. Bifidobacterium animalis subsp. lactis Bb 12 was propagated routinely at 37ºC for 10-12 hrs in MRS broth (Difco, Detroit, Mich) containing 0.5 g L-1 cysteine hydrochloride (Merck, Germany, Darmstadt) (Doleyres et al. 2002). This culture was incubated under anaerobic conditions (glass jar with gas pack); then 1 mL of active culture was used to inoculate 30 mL of the same culture media, and incubated 10-12 hrs at 37ºC under anaerobic conditions and then used as pre-culture.

    A glass bioreactor (BIOFLO, New Brunswick Scientific Co., NJ, Edison USA) was used. After sterilization (at 121ºC for 15 min), the bioreactor was filled with 800 mL of heated medium (5 min at 121ºC, cooled for 5 hrs at room temperature and reheated in the same conditions). The medium was then inoculated with 16 mL of pre-culture. The temperature was controlled at 37 ± 1ºC, while pH was uncontrolled. Agitation was set to 60 rpm and cultures were conducted in anaerobic condition with CO2 purged for 24 hrs. Samples were taken every 2 hrs.

    Immobilized cells. 16 mL beads from each coated cells (measured by displacement in a 50 mL graduated cylinder) were separated and inoculated as pre-culture. Immobilized cells fermentation was performed in the same bioreactor containing HCWP medium and in the same conditions as free cells culture.

    Biomass determination

    Free cells. The method of (Desjardins et al. 1990) was used for the estimation of the biomass concentration.

    Immobilized cells. The concentration of microbial cells in microencapsulated culture was measured by OD 620 nm units using visible spectrophotometer (Beckman coulter USA) after broken up beads using chemical and mechanical methods in combination (Zhou et al. 1998). For K-carrageenan-locust been gum, collected beads were soaked in 0.85% saline solution and shaken with glass beads for 15 min at 45ºC to suspend the immobilized cells (Audet et al. 1988). The absorbance of the mixture of cells and microcapsule broken up solution was measured at 620 nm and the biomass concentration was deduced from a calibration curve. Liquefied cell-free beads were used as reference for optical density measurement. For alginate-chitosan beads, they were first blended for 1 min in stomacher and then stand 10 min in sterile solution citrate (1% W/V) at pH 6.0 and lightly shaken for dissolution (Krasaekoopt et al. 2004). Gellan-xanthan beads were softened in 0.1 M sodium solution phosphate buffer, pH 7 for 10 min; blended process was then done with stomacher for 2 min. Method for optical density and biomass calculation was as the same as K-carrageenan-locust been gum procedure.

    High performance liquid chromatography

    The method of Tormo and Izco (2004) was used for the determination of organic acids (lactic and acetic acids) concentrations by HPLC analysis (Cecil 1100 U.K, Cambridge) with a C18 (Waters, USA) column, UV detector and gradient eluent. Lactose concentration was measured using the same HPLC system but with a Eurokat H column (Waters, USA) and RI detector at 65oC using water at pH = 2 as eluent. Flow rate was 1 mL min-1 and pH of water was adjusted by adding H2SO4 (Merck, Germany, Darmstadt).

    Model development

    Growth kinetics

    The relation between specific growth rate (μ) and essential substrate concentration was given by the Monod equation:

    μ = μm[s/(KS + s)]

                                        [Equation 1]


    dx/dt =μm[s/(KS+s)] x

                                        [Equation 2]

    μm was the maximum achievable growth rate and KS was the Monod (substrate saturation) constant (Dutta et al. 1996).

    Levenspiel proposed the following simple generalization of the Monod equation to account for the inhibitory product effect (Velizarov and Beschkov, 1998):

    dx/dt = μx(1-p/pm)h

                                        [Equation 3]

    pm and h were the maximum product concentration above which bacteria did not grow and the toxic power, respectively. This term characterized the manner in which the upper concentration limit is approached for the inhibitory product pm. An increasing of the toxic power h led to an increase of the inhibitory effect. Therefore, equation 3 predicted a continuous decrease of the growth rate as product concentration rises. During Bifidobacterium growth, it could be assumed that inhibition resulted from the sum of lactic and acetic acid effects (Desjardins et al. 1990).

    Lactic acid fermentation by L. delbrueckii indicated that the product formation kinetics combined growth-associated and non growth-associated contributions as follows (Altiok et al. 2006):

    dp/dt = Adx/dt + Bx

                                        [Equation 4]

    This two-parameter kinetics expression, often termed Luedeking-Piret kinetics, proved to be very useful in fitting product formation, not only for lactic acid fermentation, but for a wide range of fermentative organic acid productions. Monteagudo et al. (1997) developed Equation 5 involving a product inhibition factor as below:

    dp/dt = (Adx/dt + Bx)(1-p/p’m)

                                                    [Equation 5]

    This model may be improved by the addition of terms to express the dependence of the rate of lactic and acetic acids production on the inhibitory concentration as follows:

    dp/dt = (Adx/dt + Bx)(1-p/p’m)f

                                                    [Equation 6]

    In this equation p’m was the maximum product concentration above which bacteria did not product lactic and acetic acids and f was the toxic power. An increase of the toxic power f led to an increase of the inhibitory effect. Therefore, Equation 6 predicted a continuous decrease of the production rate as product concentration rose.

    Stoichiometrically, the rate of substrate utilization was related to the biomass and product formation. Substrate consumption for maintenance was usually proposed to be first order as biomass concentration, msx. So, the substrate utilization kinetic can be expressed as follows (Monteagudo et al. 1997):

    ds/dt = -(1/YX/S)dx/dt - (1/YP/S)dp/dt - msx

                                                                            [Equation 7]

    Bioreactor fermentations with two replicates for free cells and three replicates for immobilized cells were performed in order to determine the kinetic parameters of Equations 3, Equation 6 and Equation 7. Experimental data were fitted to Equations 3, Equation 6 and Equation 7 using a computer model program (Microsoft excel, 2007) and compared to batch fermentation data in order to minimize the difference between the calculated and the experimental values. Nonlinear regression analysis based on the Runge-Kutta method for differential equations was used to obtain the best fitting rate equations (Altiok et al. 2006). For comparison, the same procedure was applied to Equations 3, Equation 6 and Equation 7 without h and f toxic power, and the efficiency was compared based on total sum squares (Dutta et al. 1996).

    Statistical analysis

    The Duncan Multiple Range test was used to compare the mean values in different treatments using SPSS software (version 16); the significance level used was P < 0.05.

    Results and Discussion

    Experimental and calculated data are shown in Figure 1 and Figure 2, and the corresponding estimated parameters are collected in Table 2.

    Free cell kinetics

    Examination of the experimental data revealed that Equations 3, Equation 6 and Equation 7 can describe growth, acid production and substrate utilization kinetics (Figure 1). Table 2 shows that the addition of the toxic powers h and f clearly improved the fitting, since in all cases the addition of a toxic power led to lower total sum squares. xm, KS and μm increased for increasing whey permeate concentration (Table 2). The toxic power h for growth kinetic appeared affected by media composition. Irrespective of the medium used, lactose was not the limiting substrate owing to the large residual amounts (Figure 1), and hence the “usable” nitrogen was most likely the limiting factor (Amrane and Prigent, 1997), especially in LCWP medium. Consequently, minimum culture parameter values (amount of biomass x, μm, YX/S, product yield coefficient (g lactic and acetic acid g-1) (YP/S), h, growth-associated product formation coefficient (g lactic and acetic acid g-1 biomass) (A) and product concentration p) belonged to this medium. Maximum h value (1.1) was found for MCWP medium. This increase of the h value illustrated a greater organic acid inhibition effect in the case of growth. In lactic acid bacteria, substrate limitation leads to disturbance between catabolism and anabolism, resulting in a shift from anabolism to catabolism (Garrigues et al. 2001). This phenomenon corresponds to a direct use of the available energy towards maintenance rather than growth for Bifidobacteria, and hence this shift causes an increase of the production of acids, which resulted in the dissipation of the proton gradient that is maintained across the cell membrane, and hence bacteria require maintenance energy to regulate this pH gradient (Beal and Corrieu, 1995). MCWP whey protein content was higher than LCWP (Table 1), however not at a level which allowed avoiding any nutritional limitation. Consequently, higher h, A, non-growth-associated product formation coefficient (g lactic and acetic acid g biomass-1) (B), maintenance coefficient (g lactose g−1 biomass h-1) (ms), lactic and acetic acid concentrations and YP/S values were recorded for MCWP medium (Table 2 and Figure 1). High concentrations of hydrogen ions that are in part supplied by the acidic metabolic products like lactic and acetic acids functioning as auto inhibitors and proliferation of these products caused a decrease of the growth kinetics (Akerberg et al. 1998). Some researchers reported that initial lactate and acetate concentrations above 10 g L-1 caused a rapid decrease of the growth rate of B. longurn YT 4021, or cessation of growth occurred in media containing more than 18 g L-1 both lactate and acetate (Desjardins et al. 1990). According to our results, the pm value varied with the medium used (Table 2). Variation in pm can be related to the redox potential. Skim milk and whey permeate have sulfur-containing amino acids and liberates these amino acids during heat treatment, which could decrease media redox potential and neutralize acidic inhibitory effect (Dave and Shah, 1998). Modifying these amounts can cause modifications of the redox potential, and hence the higher pm value was most likely related to the higher redox potential. Moreover, whey permeate contains available nitrogen component considered as promote growth factor for Bifidobacteriaum (Janer et al. 2004). Subsequently, higher xm, μm, KS, YX/S and log phase belonged to HCWP medium which contained the higher whey concentration (Table 2 and Figure 1).

    Similarly to growth (factor h), the toxic power factor f for production appeared also affected by media composition. Similarly to growth, MCWP led to the higher f value. Lower f values if compared to the h values indicated that lactic and acetic acid concentrations had lower inhibitory effect on acid production than growth. To our knowledge, the effect of organic acids on cessation of acid production during Bifidobacteria growth has not been reported in the available literature. Organic acids (lactic and acetic acids) production took place not only during growth but also during the stationary phase, even though in lower amounts, as can be seen in Table 2 and Figure 1. From Table 2, the ratio of the growth- and non growth-associated production A/B were 5, 8 and 25 for LCWP, MCWP and HCWP respectively, showing that larger amounts of lactic and acetic acids were produced during growth if compared to stationary phase; contrarily, (Desjardins et al. 1990) reported 70%-75% lactic and acetic acids produced during stationary phase of Bifidobacteria culture. The higher A and B values were 4 and 0.5 recorded during growth on MCWP. Irrespective of the medium used, final production p’m occurred in the late stage of the stationary phase and the higher value belonged to MCWP medium.

    Substrate concentration time-courses are also shown in Figure 1. The model (Equation 7) was found to match experimental data. Fairly similar amounts of organic acids and biomass were produced during culture on MCWP and HCWP media (Figure 1b and Figure 1c), leading to nearly similar lactose consumption found for both media, while this consumption decreased for LMWE (Figure 1a).

    Immobilized cell kinetics

    Assessment of experimental data revealed that the model can also depict immobilized cell growth, acid production and substrate utilization time-courses (Figure 2). Encapsulation protect microorganism from its environment and the link between the microbial environment and cell growth was highlighted by the model. Similarly to free cells culture, the absence of toxic power in the model led to higher total sum squares (Table 2). Kinetic parameter values varied compared to free cells growing on HCWP medium and also varied with the type of coating material. Both toxic powers h and f increased in the same way: Gellan xanthan < Alginate chitosan < K-Carageenan-locust been. These variations could have two reasons: 1- As a result of widespread surface growth, cells are continuously released from the gel bead into the fermentation medium, leading to decreasing cell population in the beads (Dembczynski and Jankowski, 2002) and hence a higher biomass release from a microcapsule resulted in lower cells amount inside the beads. However, results showed negligible release from immobilized cells after 24 hrs culture, irrespective of the coating material used. 2- It has been reported for alginate beads with entrapped L. lactis that the pH gradient was caused by lactic acid accumulation inside beads, leading to the inactivation of cells in the core of the beads (Klinkenberg et al. 2001). Therefore, coating materials with more protection against external components results in a lower permeability for external and internal mass transfer and hence a higher inside inhibition factor, leading to a smaller amount of biomass produced. In this study, the latter reason could be assumed for the observed disparities between coating materials. However, from the amounts of acids produced during growth and stationary phases (Figure 2), it can be concluded in an absence of shift of cell metabolism from anabolism to catabolism due to the effect of the above factors owing to the low B values and hence the low maintenance production (Table 2) (Garrigues et al. 2001; van Bodegom, 2007). As a result gellan-xanthat had less permeability for external and internal mass transfer in this medium compare to the other biopolymers, leading to the lowest parameter values, xm, μm, h and KS. The permeability of the K-carageenan-locust was higher, leading to the highest xm, μm and KS values (Table 2). Audet et al. (1988) reported that S. salivarius subsp. thermophilis entrapped in k-carageenan-locust been showed long log phase compare to free cells, while immobilized and free Lactobacillus delbrueckii subsp. bulgaricus cells showed similar log phases. The present work showed greater log phase for immobilized cells if compared to HCWP free cells. Coating materials did not affect final acids production, leading to similar pm values recorded for all coating material types.

    As was the case for free cells, an inhibitory effect of p’m occurred at late stationary phase. As for the h parameter, biopolymers permeability had also an effect on the f toxic power, (Table 2). From this, gellan-xanthan showed the lowest f toxic power and k-carageenan-locust been beads showed the higher f value (Table 2). Medium composition can affect the structure of the biopolymer. Audet et al. (1988) reported that alginate gels suffer from instability with phosphate and lactate ions, since calcium ion that stabilized the gel move with lactate during lactic acid bacteria fermentation. This change in structure and accordingly physical properties of biopolymers can occur during cultures without pH control on complex media as it was the case in this work. Therefore permeability of biopolymers changed during fermentation and at late stage of stationary phase an accumulation of deleterious factors inside beads can cause cessation of lactic and acetic acids production. As a result k-carageenan-locust been showed the higher A/B ratio, while similar A/B ratio was recorded for gellan-xanthan and alginate-chitosan (Table 2). High A/B ratios indicated small amount of organic acids produced at stationary phase if compared to free cells (Table 2), in agreement with the comparison of Figure 1c and Figure 2. Contrarily, Morin et al. (1992) reported uncoupling for growth and lactic acid production occurring in Lactococcus lactis subsp. cremoris encapsulated in calcium alginate beads. It can be noted that nearly similar amounts of acids were produced for all coating materials used (Figure 2).

    YX/S and YP/S values did not varied really significantly with the biopolymer used (Table 2). The ms factor is related to the non-growth metabolism (Garrigues et al. 2001; van Bodegom, 2007) and hence maximum stationary acid production (2.8 g L-1 - Figure 2) was found for K-carageenan-locust been beads owing to the higher ms value recorded (Table 2). This phenomenon can be related to the decrease of K-Carageenan-locust been permeability at late stage of fermentation. For the three tested coating materials the ms values were lower than those found during free cells culture, showing the protection effect of the coating materials (Table 2).

    Concluding Remarks

    A model was developed and validated for free and immobilized cells growth, total acid production and substrate utilization. The biomass and production model was considered advantageous since the inhibitory effect could be adjusted by modifying the toxic powers which are affected by environmental conditions, and hence the model appeared applicable for a wide range of culture conditions. Kinetic analysis showed differences in behavior between free and immobilized cells. Indeed, medium composition and the type of coating material affected significantly kinetic data, and hence the appeared helpful for primary estimation of nutrition limitations or the suitability of coating materials against deleterious factors. However, further studies are needed dealing with physical properties of biopolymers as coating materials and the modifications of their properties during fermentation in complex media with or without pH control. The above results showed that for increasing protect effect of coating materials against environmental deleterious factors, transport limitation occurred, which is disadvantageous for cell formation. New methods to produce applicable coating materials appear therefore as an important task.


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