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    Eect of temperature on lactic acid production from cheese

    whey using Lactobacillus helveticus under batch conditions

    M.S.A. Tango, A.E. Ghaly *

    Biological Engineering Department, Dalhousie University, P.O. Box 1000, Halifax, Nova Scotia, Canada, B3J 2X4

    Received 29 December 1997; received in revised form 9 July 1998; accepted 17 July 1998

    Abstract

    A 5 L continuous mix, batch bioreactor was used to investigate the eect of temperature on the growth of

    Lactobacillus helveticus and production of lactic acid from lactose. The temperature levels used were 238C (no

    control), 378C (no control), 378C (controlled) and 428C (controlled). No pH control was provided. The temperature

    and pH were monitored during the fermentation process. The pH steadily decreased from the initial value of 4.4 to

    less than 3.0, due to the lactic acid formation. Increasing the fermentation temperature from 238C to 428C (with no

    pH control), enhanced the lactose utilization and lactic acid production by 26.6 % and 6.2 g L1, respectively.

    Maximum specic growth rate, lactose utilization and lactic acid production were 0.25 h1, 60.6 % (of initial

    concentration), and 10.0 g L1 respectively, for fermentation with temperature control at 428C. The results showed

    the need for controling both temperature and pH during batch lactic acid fermentation from cheese whey to avoid

    yield losses. # 1999 Elsevier Science Ltd. All rights reserved.

    Keywords: Batch fermentation; Cheese whey; Lactose; Lactic acid; Lactobacillus helveticus; PH; Temperature; Cell growth

    1. Introduction

    Lactic acid is a natural organic acid which has

    many applications in pharmaceutical, food and

    chemical industries. These include: uses as an

    acidulant, preservative and as a substrate for the

    production of biodegradable plastics (polylactidepolymers, polyhydroxybutryate) and some other

    organic acids [1]. Lactic acid can be produced by

    fermentation from a variety of sugar containing

    substrates. Such a substrate is cheese whey.

    Cheese whey is a by-product of the cheese-

    making process. It contains about 93% water,

    5% lactose, 0.9% nitrogen compounds, 0.6%

    minerals and vitamins, 0.3% fat and 0.2% lactic

    acid. There is continued interest in utilizing lac-

    tose from cheese whey for the production of

    value added end products. Several researcheshave utilized anaerobes or facultative anaerobes

    to ferment lactose to single cell protein, ethanol,

    biogas, lactic acid and acetate [210].

    Lactobacillus helveticus has been chosen for the

    production of lactic acid from cheese whey

    because it appears to be among the most pro-

    ductive bacteria for lactic acid production from

    Biomass and Bioenergy 16 (1999) 6178

    0961-9534/98/$ - see front matter # 1998 Elsevier Science Ltd. All rights reserved.

    P I I : S 0 9 6 1 -9 5 3 4 (9 8 )0 0 0 6 2 -2

    PERGAMON

    * Corresponding author.

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    lactose [11, 12]. It is a thermophilic and acido-

    philic bacterium, that will grow under conditions

    inhibitory for most contaminant microorganisms

    [13, 14]. Temperature and pH are the key en-

    vironmental parameters that aect the lactic acid

    fermentation process. It is, therefore, important

    to determine the temperature regimes at which

    optimum microbial growth is achieved. Better

    understanding of the temperature eects on lac-

    tose fermentation will facilitate improvement of

    the process. In addition, the rates of substrate

    utilization and lactic acid production during the

    lag, growth, stationary and death phases of

    Lactobacillus helveticus under batch culture oper-

    ation need to be quantied.

    2. Objective

    The main aim of this study was to investigate

    the eect of temperature on the production of

    lactic acid from acid cheese whey using

    Lactobacillus helveticus in a continuous mix

    batch bioreactor and to evaluate the performance

    characteristics of the fermentation process as

    measured by microbial growth rate, lactic acid

    production and lactose conversion eciency.

    3. Materials and methods

    3.1. Substrate collection and preparation

    Cheese whey was obtained from Farmers

    Cooperative Dairy Plant in Truro, Nova Scotia,

    Canada in 40 L plastic bags. The cheese whey

    bags were kept in a storage facility (Associate

    freezers of Canada, Dartmouth, Nova Scotia) at

    258C to minimize microbial and enzymatic

    degradation. The amount required for the exper-

    iments was pasteurized in 4 L glass bottles

    according to the procedure described by Ghalyand El-Taweel [5]. The bottles were immersed in

    water bath (Fisher Scientic, Model No. 4391,

    Montreal, Canada,) for 45 min at 708C. They

    were then cooled suddenly to 08C in an ice bath

    for 30 min and then kept at room temperature

    (208C) for 24 h. This process of alternating heat-

    ing, cooling and warming up was repeated three

    times. The pasteurized cheese whey stock was

    then stored in refrigerator at 48C. Some of the

    characteristics of cheese whey used in this study

    are shown in Table 1.

    3.2. Inoculum preparation

    Lactobacillus helveticus (ATCC 15009) was

    obtained from the American Type Culture

    Collection (Rockville, Maryland). The bacteria

    was revived and maintained in tomato juice-yeast

    extract broth (ATCC medium 17) which con-

    tained skim milk (100 g/L), tomato juice (100

    mL/L) and yeast extract (5 g/L). The medium

    was sterilized at 1218C and 103.4 kPa for 15 min

    in an autoclave (Market Forge Sterilmatic,Model No. STM-E, New York). The rehydated

    bacterial culture was grown in the incubator

    (Precision Scientic Co., Model 815, Chicago,

    Illinois) in Petri dishes with fresh agar containing

    skim milk (100 g/L), tomato juice (100 mL/L),

    yeast extract (5 g/L) and agar (15 g/L) at 378C

    for 3 days. The pasteurized cheese whey was

    transferred to several 250 mL sterilized

    Erlenmeyer asks (150 mL/ask). Inoculum

    (10% v/v) for batch fermentation came from a

    culture grown at 378C for 48 h in the pasteurized

    cheese whey. The Lactobacillus helveticus were

    transferred from the stock culture to the 150 mL

    of pasteurized cheese whey in each sterilized

    Erlenmeyer ask (from two Petri dishes of pure

    culture). The asks were capped with cotton

    plugs and mounted on a controlled environment

    reciprocating shaker (Incubator Shaker, Series

    25, New Brunswick Scientic Co. Inc., New

    Jersey). The temperature in the shaker chamber

    was maintained at 378C and the shaker was oper-

    ated at 200 rpm for 48 h. The contents of the

    asks were transferred to one large sterilized con-

    tainer and thoroughly mixed, then refrigerated at

    48C until ready for use.

    3.3. Experimental apparatus

    The experimental apparatus (Fig. 1) consisted

    of (a) four bioreactors each with a mixing system

    (b) a temperature control system and (d) a data

    acquisition system.

    M.S.A. Tango, A.E. Ghaly / Biomass and Bioenergy 16 (1999) 617862

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    A 5 L batch bioreactor was used in this study.

    The fermenter was constructed from a plexiglas

    cylinder of 5 mm thickness. Its dimensions are as

    shown in Fig. 2. Four vertical baes (positioned

    at 908 apart) made from plexiglas were used in

    the fermenter to improve the top to bottom turn-

    over and to reduce vortex eect. Provisions were

    made on the cover for mounting the temperature

    probe, pH probe, dissolved oxygen probe and

    mixing shaft. In addition, two ports for sample

    collection and pressure release were incorporated.

    Agitation was facilitated by a mixing system

    which consists of an electric motor (DaytonElectric MFG Co., model 4Z142, Chicago,

    Illinois) with a controller and a mixing shaft. The

    motor was mounted onto the top of the reactor

    cover and was connected to the motor with a

    exible coupling collar. The mixing shaft had

    two at-bladed impellers of 75 mm diameter,

    mounted at 148 mm apart with the bottom

    impeller being 30 mm from the fermenter oor.

    The mixing speed was maintained at 150 rpm.

    The fermentation temperature was controlled

    using a 1080 260 370 mm well insulated

    water bath. The water bath was constructed from

    a double wall stainless steel sheet (1 mm thick-

    ness) with 20 mm thick styrofoam sheet placed in

    between. Water ow rate within the water bath

    was controlled by a submersible pump

    (Tecumseh Products Co., Model 1-MAT, Cat.

    No. 521286, Oklahoma City, Oklahoma) inserted

    in the water bath and discharges water to the

    heater unit. Uniform distribution of water fromthe heater unit was facilitated by holes around a

    steel tube containing a heater element (2.0 kW).

    Temperature sensor was used to detect the water

    temperature and the control unit regulated the

    temperature at a preset value.

    The data acquisition system consisted of a

    data logger, pH probes, dissolved oxygen probes,

    Table 1

    Some characteristics of cheese whey

    Characteristics Measured value Units

    Total solids 68 298.00 mg L1

    Fixed solids 6748.00 mg L1

    Volatile solids 61 550.00 mg L1

    Percent volatile solids 90.12 %

    Percent xed solids 9.88 %

    Suspended solids 25 160.00 mg L1

    Fixed solids 225.00 mg L1

    Volatile solids 24 935.00 mg L1

    Percent volatile solids 99.11 %

    Percent xed solids 0.89 %

    Total Kjeldahl nitrogen 1560.00 mg L1

    Ammonium nitrogen 263.00 mg L1

    Organic nitrogen 1297.00 mg L1

    Percent organic nitrogen 83.14 %Percent ammonium nitrogen 13.92 %

    Total chemical oxygen demand 81 050.00 mg L1

    Soluble chemical oxygen demand 68 050.00 mg L1

    Insoluble chemical oxygen demand 13 000.00 mg L1

    Percent soluble chemical oxygen demand 84.96 %

    Percent insoluble chemical oxygen demand 16.04 %

    Lactose 4.82 %

    Lactic acid 0.22 %

    Potassium 1670.00 mg L1

    Sulfur 154.00 mg L1

    Phosphorus 483.00 mg L1

    pH 4.90

    M.S.A. Tango, A.E. Ghaly / Biomass and Bioenergy 16 (1999) 6178 63

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    Fig.

    1.

    Schematicdiagram

    ofexperimentalapparatusforbatchoperation.

    M.S.A. Tango, A.E. Ghaly / Biomass and Bioenergy 16 (1999) 617864

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    Fig. 2. Diagram of batch bioreactor.

    M.S.A. Tango, A.E. Ghaly / Biomass and Bioenergy 16 (1999) 6178 65

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    thermocouples, signal conditioning unit and a

    personal computer. The data logger (Syscon

    International Inc., Model 525 S.SYSCON, South

    Bend, Indiana) was connected to the signal con-

    ditioning unit and to IBM PS2 personal compu-

    ter through a serial communication port. Four

    pH probes (Fisher Scientic, Model No. 13-620-

    104, Montreal, Canada) and four dissolved oxy-

    gen probes (Cole-Parmer, Model No. 25643-04,

    Chicago, Illinois) were connected to the data

    data logger through the signal conditioning unit

    whereas four type-T thermocouple sensors (Cole

    Parmer, Cat. No. L-08530-74, Chicago, Illinois)

    were directly connected to the data logger. All

    probes were calibrated prior to each experimental

    run. The temperature of the medium was moni-tored (for this study only) using four ther-

    mometers (Fisher Scientic, Cat. No. 14-983-10B,

    Montreal, Canada, ) to an accuracy of20.58C

    while pH measurements were recorded using pH

    probes (Fisher Scientic, Cat. No. 13-620-104,

    Montreal, Canada,) attached to a microprocessor

    based pH tester BNC (OAKTON, Cat. No. WD-

    35624-10). A Quick Basic environment was used

    to develop the software and operate the data ac-

    quisition system.

    3.4. Experimental procedure

    In this study, four temperature levels (ambient

    temperature of 238C, initial temperature of 378C,

    continuous temperature control at 378C and con-

    tinuous temperature control at 428C) were used

    to investigate the growth of Lactobacillus helveti-

    cus, lactose utilization and lactic acid production.

    The bioreactor and its components were chemi-

    cally sterilized using 2% potassium metabisul-

    phite, then thoroughly cleaned by hot distilled

    water. The fermenter was lled with 4.32 L pas-

    teurized cheese whey and immediately 480 mL

    inoculum was added. At this moment the mixingmotor for each fermenter was turned on (150

    rpm), the data acquisition system and the compu-

    ter program were activated. The ambient tem-

    perature, medium temperature and pH were

    monitored throughout the fermentation process.

    For the runs at ambient temperature and no con-

    trol (238C), the fermenter with pasteurized cheese

    whey was placed at room temperature. For the

    runs at initial temperature of 378C and no con-

    trol, the fermenter with pasteurized cheese whey

    was rst immersed in water bath until steady

    temperature of medium was 378C then water was

    emptied from the bath. For the runs at tempera-

    tures of 37 and 428C and continuous temperature

    control, the fermenters with pasteurized cheese

    whey were maintained in the water bath at the

    preset temperatures. In all of the experimental

    runs, inoculum was separately brought to the in-

    dividual initial temperature conditions prior to

    addition to the respective fermenter.

    3.5. Samples and analyses

    Samples of about 5 mL each were collected

    throughout the experiment for cell number, lac-

    tose and lactic acid analyses. The samples were

    collected at zero hour, initially every after 2 h

    until 12 h, and thereafter at intervals of 4 h

    (between 12 to 24 h), 6 h (between 24 to 48 h)

    and 8 h (between 48 to 64 h). The cell concen-

    tration was determined using plate count pro-

    cedure and dehydrogenase activity according to

    the procedure described by Ghaly and Ben

    Hassan [15]. Lactose concentrations were deter-

    mined using sugar analyzer (YSI Model 27,

    Yellow Springs, Ohio), while lactic acid concen-

    trations were determined using glucose/L-lactate

    analyzer (YSI Model 2000, Yellow Springs,

    Ohio).

    4. Results and discussions

    4.1. pH

    The results of pH measurements are shown in

    Fig. 3. The initial pH of the fermenter medium

    (after the addition of inoculum) was 4.4. Therewas a steady decrease in the pH of the medium

    during the fermentation of cheese whey with no

    temperature control (room temperature) until it

    reached a value of 3.4 at the end of the fermenta-

    tion process. For the experiment with an initial

    temperature of 378C (no temperature control),

    the pH of the medium decreased from 4.4 to 2.9

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    within the rst 20 h and then decreased slowly

    reaching 2.8 at the end of the experiment. In the

    case of continuously controlled temperatures at

    both 37 and 428C, the respective pH of the med-

    ium dropped at a fast rate to 2.7 and 3.6 within

    the rst 10 h, and then decreased gradually

    reaching a steady values of 2.7 and 3.0 at the end

    of the experiments.

    The correlation between the pH versus operat-

    ing temperature tted the following parabolic

    function (R 2=0.998):

    pH 15X31 0X74 T 0X011 T

    2

    1where T is the fermentation temperature (8C).

    Similarly, the correlation between the pH ver-

    sus cell number tted the following equation

    (R 2=0.980):

    pH 11X01 4X91N

    N0 20X4 ln

    N

    N0

    2

    where N0 is the initial cell number (106 cells

    mL1); N is the cell number at time t (106 cells

    mL1).

    Since the temperature has a direct eect on the

    cell number, which in turn has a direct eect on

    the pH of the medium due to cell activities, the

    eect of both temperature and cell number on

    pH can be deduced in the following general ex-

    pression:

    pH fTxfNyX 3

    Substituting the expressions for f(T) and f(N)from Eqs. (1) and (2) into Eq. (3), the following

    equation was obtained (R 2=0.985):

    pH 15X31 0X74 T 0X011 T2h i1X11

    11X01 4X91N

    N0 20X4 ln

    N

    N0

    !0X15X 4

    Fig. 3. pH changes during batch fermentation.

    M.S.A. Tango, A.E. Ghaly / Biomass and Bioenergy 16 (1999) 6178 67

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    The above expression was tested at various tem-

    perature levels (20, 30 and 408C) and cell survival

    ratios (N/N0) of 2, 5 and 10. The pH of the med-

    ium decreased as the N/N0 and/or the tempera-

    ture increased. The model was more sensitive to

    changes in the temperature than those in the cell

    survival ratios (N/N0) within the ranges tested.

    The pH values at which maximum specic

    growth rate occurred were 4.2, 3.5, 3.4, and 4.0

    for the experiments with room temperature (no

    control), initial temperature of 378C (no control),

    continuously controlled at 37 and 428C, respect-

    ively. Ghaly and El-Taweel [5] mentioned that

    the decrease in pH could be attributed to the for-

    mation of lactic acid, conversion of carbon diox-

    ide to carbonic acid and the buer capacity ofthe inorganic salts present in the cheese whey. A

    reduced pH is usually desirable as microbial cul-

    tures are less susceptible to microbial contami-

    nation. Another point of view is that, if better

    fermentation performance (high specic growth

    rate, high lactic acid yield and ecient lactose

    utilization) was obtained at such low pH levels,

    then the task of pH control would be unnecess-

    ary, thus, avoiding the related costs. Apparently,

    the results of this study showed that bacterial ac-

    tivity was signicantly reduced at such low pH

    values caused by acid formation and, thus, the

    need for pH control is justied.

    4.2. Temperature

    The temperature results are shown in Fig. 4. The

    rst experiment was conducted at a controlled

    room temperature and, thus, the initial temperature

    of the medium remained relatively constant

    (23.020.58C) until the end of the experiment.

    During the experiment in which the initial tempera-

    ture of the medium was raised to 378C, a fastdecrease in the medium temperature from the initial

    value of 378Ctoavalueof258C occurred within the

    rst 8 h. Then, a slow decrease of temperature (from

    25 to 238C) was observed during the next 12 h.

    Thereafter, no change in temperatures was observed

    until the end of the fermentation process. For the

    continuous temperature controlled experiments,

    Fig. 4. Room and fermenter temperatures measured during batch fermentation.

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    the medium temperatures were successfully main-

    tainedat 3720.58Cand4220.58C, respectively.

    In industrial fermentation processes, the oper-

    ating temperature of the fermenter is often raised

    to optimum level to increase microbial activity.

    There is a maximum temperature at which the

    growth rate is highest and that depends on the

    characteristics of the microorganism used as well

    as on the environmental conditions. However,

    when the temperature of the medium is above or

    below that required for optimum growth, the mi-

    crobial activity is substanstially reduced and the

    organisms may eventually die [16, 17]. Roy et

    al. [11] reported that for Lactobacillus helveticus,

    the optimum range for growth is 42458C. Roy et

    al. [8] observed high specic growth rate (m) of0.639 h1 for Lactobacillus helveticus at a tem-

    perature of 428C. Simulated studies by Peleg [18]

    have demonstrated that the bacterial growth rate

    improved by about two-fold when the operating

    temperature was increased from 15 to 458C. In

    this study, higher cell growth, higher lactose util-

    ization and higher lactic acid production were

    obtained at continuously controlled temperature

    experiments (37 and 428C). In biological systems,

    the temperature aects the rate of biochemical

    reactions, the activity of extracellular enzymes,

    the generation time, and the activity of the micro-

    organisms involved. Tchobanoglous [19] reported

    that the rate of reaction for microorganisms

    increases with increasing temperature (doubling

    with every 108C rise in temperature) until a limit-

    ing maximum temperature is reached, after which

    the growth rate decreases very rapidly. It is, there-

    fore, important that the fermentation temperature

    be maintained as constant as possible since bac-

    teria grow optimally within a narrow temperature

    range and are adversely aected by sudden tem-

    perature unctuations.

    4.3. Cell growth

    The eect of temperature on the microbial

    growth during batch fermentation is shown in

    Fig. 5. The four distinct growth phases (lag

    phase, during which the cell growth rate was

    zero; exponential phase, during which the cell

    growth rate was maximum; stationary phase,

    during which the cell growth rate was zero; and

    death phase, during which the cell death rate was

    maximum) were observed. These four phases

    were interconnected by transition intervals where

    the growth rate changed continuously. The cell

    number obtained from each of the experiment

    were plotted on a semilogarithmic ordinate scale

    to linearize the exponential portions of the

    growth curves to ascertain the specic growth

    rate and length of lag period.

    Table 2 shows some of the kinetic parameters

    of the batch culture obtained from this study.

    The shortest lag period was 1.9 h and the longest

    one was 4.7 h for continuously controlled tem-

    perature at 428C and room temperature (238C),

    respectively. The results showed that the lagperiod decreased (from 4.7 to 1.9 h), the expo-

    nential phase decreased (from 11.6 to 5.9 h), no

    remarkable change in the stationary phases, and

    slight increase in death phase (7.011.2 h) as the

    temperature of the medium was increased from

    room temperature (238C with no control) to con-

    tinuously controlled temperature at 428C. The

    lowest and maximum ratios of nal cell number

    to maximum cell number of 0.24 and 0.61 were

    obtained during continuously controlled tempera-

    ture at 378C and room temperature (238C and no

    control), respectively.The specic growth rates (m) of the

    Lactobacillus were found to be 0.090, 0.010,

    0.210 and 0.250 h1 for fermentations at room

    temperature (238C with no control), initial tem-

    perature of 378C (no control), and continuously

    controlled temperatures of 378C and 428C, re-

    spectively (Fig. 6). These values were low com-

    pared to those obtained by Roy et al. [8] which

    ranged from 0.146 h1 (at 348C) to 0.492 h1 (at

    428C). Mercier et al. [20] obtained a maximum

    specic growth rate of 0.310 h1 (at pH 5.4) and

    0.400 h1

    (at pH 6.5). Similarly, Venkatesh etal. [13] and Siebold et al. [21], using initial sub-

    strate concentrations of 50 and 30 gL1, reported

    specic growth rates of 0.310 h1 (at pH 5.6) and

    0.490 h1 (at pH 6.0), respectively. These results

    suggest that the specic growth rate of the micro-

    organisms is signicantly improved for pH con-

    trolled experiments in the range of 5.4 to 6.5.

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    Ghaly et al. [22] reported that the length of lag

    phase usually depends on the extent to which the

    new medium and environmental factors (pH, and

    temperature) are dierent from those at which

    inoculum was prepared. In this study, the pH

    level was the highest (4.04.5) at the initial stage

    Fig. 5. Eect of temperature on cell number during batch fermentation.

    Table 2

    Some kinetic parameters of the batch culture

    Temperature

    No control Control

    Parameter 238C 378C 378C 428C

    Lag phase (h) 4.7 2.8 2.4 1.9Exponential phase (h) 11.6 12.2 7.6 5.9

    Specic growth rate, m (h1) 0.09 0.10 0.21 0.25

    Stationary phase (h) 6.7 7.5 6.3 5.0

    Specic cell death rate, Kd (h1) 0.040 0.060 0.080 0.090

    Death phase (h) 7.0 9.5 11.7 11.2

    Initial cell number (106 cells mL1) 13.0 14.0 13.5 14.0

    Maximum cell number (106 cells mL1) 41.0 60.0 82.0 83.0

    Final cell number (106 cells mL1) 25.0 30.0 20.0 24.0

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    controlled experiment at 428C, while the lowest

    Kd value of 0.040 h1 was deduced for exper-

    iment at room temperature with no temperature

    control (Fig. 6). The specic growth and death

    rates at dierent temperature conditions during

    fermentation appear to increase as fermentation

    temperature was increased from room tempera-

    ture with no control to continuously controlled

    temperature at 428C. Roy et al. [11] mentioned

    that after the exponential growth phase (8 h), cell

    death rate increased at higher pH values (4.7

    6.3). This death phase of organisms occur when

    lactic acid concentration in the broth is greater

    than 20 g L1.

    4.4. Lactose utilization

    Fig. 7 displays the lactose concentration in the

    medium with the initial value of 48.0 g L1. The

    residual lactose concentrations were found to be

    31.8, 29.5 25.0 and 19.0 g L1 indicating that

    34.0, 37.9, 47.9 and 60.6% of the initial lactose

    concentrations were utilized during the fermenta-

    tion process at room temperature (at 238C and

    no control), an initial temperature of 378C (no

    control), a continuous temperature control at 37and at 428C, respectively. Table 3 shows the per-

    cent of lactose utilization and specic lactose

    uptake rate during the four growth phases.

    About 2.7 and 29.7% of the initial lactose con-

    centration were utilized during lag and exponen-

    tial phases during the fermentation with

    temperature controlled at 428C (corresponding to

    specic lactose uptake rates of 0.047 109 and

    0.076 109 g lactose cell1 h1 during lag and

    exponential phases), respectively. During the

    growth phases, the lactose utilization rate

    increased from 29.3 to 53.2% as the fermentationtemperature was increased from room tempera-

    ture (with no control) to that continuously con-

    trolled one at 428C.

    General correlations between lactose utilization

    and each of the pH, cell number, and tempera-

    ture tted the following equations (R 2=0.985,

    0.960, and 0.995):

    Fig. 7. Lactose concentration during batch fermentation.

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    Lu 251X55 166X05pH

    36X45pH2 2X66pH3Y 9

    Lu 5X16 5X13N

    N0 0X59 ln

    N

    N0Y 10

    Lu 99X8

    1 exp11X78 0X14 T 1a4X64 X 11

    where: Lu is the cumulative lactose utilization (g

    L1).

    Lactose utilization as a function of pH, tem-

    perature and cell number can be determined by

    the following general expression:

    Lu fpHp1 fNp2 fTp3 X 12

    Substituting the expressions for f(pH), f(N) and

    f(T) from Eqs. (9)(11) into Eq. (12), the follow-

    ing equation is obtained (R 2=0.995):

    Lu

    251X55 166X05pH 36X45pH2

    2X66pH30X337

    5X16 5X13N

    N0 0X59 ln

    N

    N0

    0X003

    99X8

    1 exp11X78 0X14 T 1a4X64

    Hd Ie1X700X 13Evaluating Eq. (13) revealed that the lactose util-

    ization increased when the cell survival ratio (N/

    No) increased from 2 to 10, at the optimum pH

    of 6 and the optimum temperature of 408C. The

    lactose utilization decreased when the pH varied

    from 6 to 5 or 7, at the cell survival ratio (N/No)of 5 and the temperature of 408C. However, the

    lactose utilization increased by three-fold (7.3

    20.3 g L1) when the temperature increased from

    20 to 408C, at the pH of 6 and the cell survival

    ratio (N/No) of 5, thus indicating that the model

    was sensitive to changes in temperature than

    those in pH and cell ratio.

    Higher values of lactose utilization ranging

    from 4493% when nutrient supplements were

    added have been reported by other

    investigators [11]. Similar work by Chiriani et

    al. [23] on whey ultraltrate containing 30 g L1

    initial lactose concentration using Lactobacillus

    helveticus at temperature of 428C and pH of 5.7

    gave a sugar conversion of 94.07% after 48 h.

    For continuous pH control (at pH = 5.6), about

    89.7% of lactose was converted to lactic acid

    after 95 h of fermentation; whereas, under no pH

    control conditions, using Lactobacillus bulgaricus,

    46.2% of the initial lactose concentration (30 g

    L1) was converted to lactic acid during 40 h of

    fermentation [24]. According to the authors, the

    low initial lactose concentration and optimum

    pH level (pH 5.65.7) at which the fermentation

    were conducted, have contributed to such highsugar conversion levels. The results of this study

    showed that a maximum lactose utilization of

    53.2% was achieved at continuously controlled

    temperature of 428C. The lactose conversion was

    low compared to other studies, due to the fact

    that the fermentation experiments were con-

    ducted at pH in the low range of 2.74.0.

    Table 3

    The lactose utilization rate and specic lactose uptake rate during the growth phases

    TemperatureNo control Control

    238C 378C 378C 428C

    Phase (%) (g cell1h1) 109 (%) (g cell1h1) 109 (%) (g cell1h1) 109 (%) (g cell1h1) 109

    Lag phase 3.1 0.023 2.5 0.029 3.5 0.051 2.7 0.047

    Growth phase 13.5 0.022 18.9 0.020 21.0 0.038 29.7 0.076

    Stationary phase 7.9 0.014 5.7 0.006 7.7 0.007 8.7 0.009

    Death phase 4.8 0.010 9.0 0.010 10.8 0.010 13.1 0.010

    Total 29.3 36.1 43.0 53.2

    M.S.A. Tango, A.E. Ghaly / Biomass and Bioenergy 16 (1999) 6178 73

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    4.5. Lactic acid

    The chemical reactions involved during conver-

    sion of lactose to lactic acid (using bacteria)

    under anaerobic conditions are as follows:

    (a) Product formation and respiration:

    90 C12H22O11 360 H2O 4bacteria 270 C3H6O3

    270 CO2 1080 H EnergyX 14

    (b) Growth (Synthesis):

    10 C12H22O11 24 NH4 4

    bacteria24 C5H7NO2

    62 H2O 24 HX 15

    The net chemical reaction of the above two

    equations can be written as follows:

    100 C12H22O11 24 NH4 360 H2O 4

    bacteria

    270 C3H6O3 24 C5H7NO2 270 CO2

    61 H2O 1104 H EnergyX 16

    From Eq. (16), the stoichiometric lactic acid

    yield (YP/S) was estimated to be 0.71 g lactic

    acid/g lactose and the cell yield (YX/S) was found

    to be 0.08 g cell/g lactose.

    The results (Fig. 8) revealed that the initial

    lactic acid concentration in the cheese whey

    was about 2.2 g L1 whereas the nal lactic acid

    Fig. 8. Eect of temperature on lactic acid production.

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    Table4

    Lacticacidproductionandyieldduringtheduringthegrowthphasesasafunctionoffourtemperaturelevels

    Temperature

    Nocontrol

    Control

    238C

    378C

    378C

    428C

    Phase

    P

    (g/L)YP/N

    (gLA/cell)

    109

    YP/S

    (gLA/glac)

    P

    (g/L)YP/N

    (gLA/cell)

    109

    YP/S

    (gLA/glac)

    P

    (g/L)YP/N

    (gLA/cell)1

    09

    YP/S

    (gLA/glac)

    P

    (g/L)YP/N

    (gLA/cell)

    109

    YP/S

    (gLA/glac)

    Lag

    0.2

    0

    0.0

    14

    0.1

    3

    0.1

    7

    0.0

    11

    0.1

    5

    0.2

    2

    0.0

    15

    0.1

    3

    0.2

    2

    0.0

    15

    0.1

    7

    Growth

    1.5

    1

    0.0

    60

    0.2

    3

    2.5

    0

    0.0

    67

    0.2

    8

    3.5

    2

    0.1

    00

    0.3

    4

    3.7

    4

    0.1

    15

    0.2

    6

    Stationary

    0.5

    7

    0.0

    14

    0.1

    5

    1.3

    3

    0.0

    23

    0.4

    9

    2.2

    8

    0.0

    28

    0.6

    2

    2.8

    4

    0.0

    35

    0.6

    8

    Death

    0.6

    5

    0.0

    19

    0.2

    8

    1.1

    0

    0.0

    24

    0.2

    6

    2.4

    7

    0.0

    54

    0.4

    7

    2.5

    0

    0.0

    45

    0.4

    0

    Total

    2.9

    3

    0.2

    0

    5.1

    0

    0.2

    9

    8.4

    9

    0.4

    0

    9.3

    0

    0.3

    6

    P=

    thelacticacidconcen

    tration(g/L);YP/N=theproductyieldcoe

    cient(glacticacid/cell);YP/S=theproductyieldcoecient(glacticacid/glactose)

    concentration was in the range of 6.012.3 g L1.

    Thus, the lactic acid production varied from 3.8

    to 10.1 g L1.

    Table 4 shows the summary of some kinetic

    parameters of lactic acid production and yield

    during the various phases of growth. The maxi-

    mum lactic acid yield (lactic acid production/lac-

    tose utilization) was 36.0%, which was obtained

    during the fermentation with continuous tem-

    perature control (at 428C). Thus, the maximum

    lactose conversion eciency (lactic acid yield/

    stoichiometric lactic acid yield) of the batch fer-

    mentation process was found to be 50.7%. Fig. 9

    summarizes the eect of fermentation tempera-

    ture on lactic acid production during the various

    growth phases of Lactobacillus helveticus. The

    minimum and maximum lactic acid productions

    were eected during the lag and exponential

    phases respectively. Comparable amounts of

    lactic acid were produced during stationary and

    death phases for each temperature level. These

    results indicate that at pH in the range of

    4.53.5, the lactic acid produced was mainly by

    growth associated mechanism, whereas, at low

    pH it was due to cell maintenance. For no

    pH control conditions, about 30% of the lactic

    acid produced was due to growth associated

    Eq. (13).The experimental data for the lactic acid con-

    centration and the transient pH of the medium

    was curve tted and found to conform to

    Weibull distribution. The general correlation

    obtained was of the form shown below

    (R 2=0.985):

    P 9X364X58 103 exp 359X3pH2X88

    17

    where P is the lactic acid concentration (g L1);

    pH is the pH of the medium ().

    In the same manner, the correlation betweenthe lactic acid concentration and the fermenta-

    tion temperature tted the following sigmoid

    equation (R 2=0.950):

    P 9X54

    1 exp11X45 0X33 T 1a3X29 X 18

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    The correlation between cell number and the lac-

    tic acid concentration tted the following ex-

    pression (R 2=0.998):

    P 24X53 24X31 exp 0X01N

    N0

    2X074 519

    where N/N0 is the cell survival ratio ().

    Similarly, the correlation between the lactic

    acid concentration and the lactose utilization can

    be described by the following expression

    (R 2=0.997):

    P 9X50 9X0exp 0X001Lu2X41

    h iX 20

    The lactic acid production as a function of the

    temperature, cell survival ratio and lactose utiliz-

    ation can be expressed as follows (R 2=0.991):

    p 9X54

    1 exp11X45 0X33 T 1a3X29

    VX

    WaY

    0X950

    24X53 24X31exp

    40X01

    N

    N0

    2X075VX

    WaY

    0X002

    9X50 9X0exp

    h0X001 Lu

    2X41

    i& '0X049

    21

    Eq. (21) showed that the lactic acid production

    increased when the cell survival ratio (N/N0) was

    increased from 2 to 10 (at the temperature and

    lactose utilization of 408C and 30 g L1, respect-

    ively) or when the lactose utilization was

    increased from 10 to 30 g L1 (at the temperature

    and the cell survival ratio of 408C and 5, respect-

    ively) or when the temperature was increased

    from 20 to 408C (at the cell survival ratio and

    the lactose utilization of 5 and 30 g L1, respect-

    ively). However, the increase in lactic acid pro-

    duction as a result of temperature increase was

    almost three-fold indicating that the model wasmore sensitive to changes in the temperature

    than those in cell survival ratio and the lactose

    utilization.

    Early inhibition conditions were noted during

    the fermentation process. Since the lactate con-

    centration was low in the initial period of fer-

    mentation, this inhibition was mainly due to

    lactic acid produced and the lactose concen-

    tration level at the prevailing pH of the medium.

    Roy et al . [11] observed death phases of

    Lactobacillus helveticus at lactic acid concen-

    tration higher than 20 g L1. Higher lactic acid

    concentration have been reported (3560 g L1)

    for initial lactose concentration varying from

    37.2 to 50 g L1 [19, 11]. Chiriani et al . [23]

    obtained a lactic acid yield of 26.0 g L1 using

    whey containing 30 g L1 lactose and

    Lactobacillus helveticus at a temperature of 428C

    and a pH of 5.7 after 48 h. Under a controlled

    pH of 5.9 and a temperature of 428C, Roy et

    al. [8] obtained high lactic acid production of

    about 30 g L1. The maximum lactic acid pro-

    duced in this study was only 10 g L1

    . This lowconcentration of lactic acid is due to the fact that

    the pH of the medium decreased as the fermenta-

    tion process proceeded reaching conditions un-

    favourable for the growth activity of the

    fermenting bacteria.

    5. Conclusions

    The eect of broth temperature on the per-

    formance characteristics of lactic acid fermenta-

    tion from cheese whey lactose was investigated in

    the absence of pH control. In all the four fermen-

    tation conditions studied, the pH value of the

    broth decreased from 4.4 to values less than 3.0

    as fermentation proceeded reaching conditions

    unfavourable for cell growth activity. The maxi-

    mum specic growth rate (m) obtained was

    0.25 h1 for fermentation conducted at the con-

    trolled temperature of 428C.

    Although considerable growth activity was

    noted during the fermentation process, this

    appears inadequate for better lactose utilization

    since only about 34.060.6% of the initial lactose

    concentration was utilized. For the four fermen-tation conditions studied, the lactic acid concen-

    tration was only about 6.012.3 g L1. The

    maximum lactic acid yield was 37.9%, which was

    obtained during fermentation with continuously

    controlled temperature at 428C. The correspond-

    ing lactose conversion eciency was 53.3%.

    Cell number, lactose consumption and lactic acid

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