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    International Dairy Journal 17 (2007) 674–682

    Rheological properties and microstructure during rennet induced

    coagulation of UF concentrated skim milk

    A.O. Karlsson, R. Ipsen, Y. Ardo ¨

    Dairy Technology, Department of Food Science, Centre for Advanced Food Studies, The Royal Veterinary and Agricultural University,

    Rolighedsvej 305, 1958 Fredriksberg C, Denmark 

    Received 20 December 2005; accepted 10 August 2006

    Abstract

    Rennet induced coagulation of ultrafiltrated (UF) skim milk (19.8%, w/w casein) at pH 5.8 was studied and compared with

    coagulation of unconcentrated skim milk of the same pH. At the same rennet concentration (0.010 International Milk Clotting Units

    g1

    ), coagulation occurred at a slower rate in UF skim milk but started at a lower degree of  k-casein hydrolysis compared with the

    unconcentrated skim milk. Confocal laser scanning micrographs revealed that large aggregates developed in the unconcentrated skim

    milk during renneting. Following extensive microsyneresis the protein strands were shorter and thinner in gels from UF skim milk.

    Moreover, during storage up to 60 days (13 1C), the microstructure and the size of the protein strands of the UF gel changed only

    slightly. Hoelter–Foltmann plots suggested that the coagulation rate was reduced in the UF skim milk due to a high zero shear viscosity

    of the concentrate compared with the unconcentrated skim milk.

    r 2006 Elsevier Ltd. All rights reserved.

    Keywords:  Casein gel; Coagulation; Microstructure; Rennet; Rheology; Ultrafiltration

    1. Introduction

    Membrane processes are used in dairy plants to

    standardize or increase the protein content in milk and to

    separate bacteria and spores from milk. Shortly after the

    introduction of membrane processes for milk, the use of 

    concentrated ultrafiltrated (UF) milk for cheese production

    was initiated. A liquid pre-cheese (LPC) concept resulted in

    minimal whey drainage and therefore almost all whey

    proteins could be incorporated into the cheese and

    significantly increase the cheese yield (Maubois, Mocqout,

    & Vassal, 1969). However, cheese made from UF milk andespecially cast cheese made using the LPC concept

    generally have very different sensorial and functional

    properties compared with cheese from traditional cheese

    production (Mistry &  Maubois, 1993). The incorporation

    of whey proteins have been suggested to cause many of the

    differences between cheeses from UF milk and unconcen-

    trated milk (Bech, 1993). Whey proteins act as inert fillers

    in the casein matrix and increase the water binding of 

    cheese and causes UF cheeses to be softer than traditional

    cheeses. The presence of whey proteins has also

    been suggested to reduce the enzymatic proteolysis of 

    caseins during ripening of UF cheeses. UF is hence

    not used in the production of most cheese varieties.

    However, some cast-type cheese varieties with a low pH,

    i.e., Feta and Camembert types, have been accepted by

    consumers.

    The rennet induced coagulation of skim milk constitutes

    three phases: enzymatic hydrolysis of  k-casein, aggregation

    of renneted casein micelles and gel development. In thelatter phase a three-dimensional protein network develops

    and micro- and macrosyneresis, i.e., fusion of casein

    micelles and whey separation, respectively, occurs (Walstra

    & van Vliet, 1986). With increased casein concentration the

    coagulation properties of milk change. The coagulation

    time decreases (Sharma, Mittal, & Hill, 1994), the elasticity

    of the gel increases (Culioli &  Sherman, 1978), the level of 

    hydrolysed   k-casein at the coagulation point is lower

    (Sharma et al., 1994) and less water and whey proteins are

    expelled from the gel.

    ARTICLE IN PRESS

    www.elsevier.com/locate/idairyj

    0958-6946/$- see front matterr 2006 Elsevier Ltd. All rights reserved.

    doi:10.1016/j.idairyj.2006.08.002

    Corresponding author. Tel.: +45 3528 3253; fax: +45 3528 3190.

    E-mail address:  [email protected] (A.O. Karlsson).

    http://www.elsevier.com/locate/idairyjhttp://localhost/var/www/apps/conversion/tmp/scratch_1/dx.doi.org/10.1016/j.idairyj.2006.08.002mailto:[email protected]:[email protected]://localhost/var/www/apps/conversion/tmp/scratch_1/dx.doi.org/10.1016/j.idairyj.2006.08.002http://www.elsevier.com/locate/idairyj

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    Results presented by   Green, Marshall, and Glover

    (1981)   and  Hyldig (1993)   show that the protein network

    coarsens when the casein concentration is increased

    in casein gels and cheese. However, no physical explanation

    has been given for this behaviour and the microstructure

    of milk concentrates has not been studied during coagula-

    tion. Since the microstructure of mature casein gels(after syneresis) has been shown to be influenced by the

    aggregation kinetics (Green, 1990;   Wium, Pedersen,   &

    Qvist, 2003) it is important to study the microstructure

    during coagulation. Especially, coagulation of highly

    concentrated milk with no whey separation is

    interesting because this determines the microstructure of 

    cast cheese. This has generally received very little attention,

    and the changes occurring in the microstructure

    during longer storage, i.e., months, has not been empha-

    sized.

    In the present work we have investigated differences

    between rennet coagulation of highly concentrated

    (19.8%, w/w casein) and unconcentrated skim milk. The

    rheological properties during aggregation and coagulation

    were related to the enzymatic hydrolysis of  k-casein and the

    microstructure of developing aggregates in both unconcen-

    trated and concentrated skim milk. Development of 

    microstructure in gels from unconcentrated skim milk

    after extensive microsyneresis and gels from UF concen-

    trate after storage at 13 1C for up to 60 days were studied

    and compared.

    2. Materials and methods

     2.1. Preparation of UF concentrate

    The UF concentrate was produced as described by

    Karlsson, Ipsen, Schrader, and Ardo ¨   (2005). The UF

    process was stopped when the UF concentrate had reached

    a Brix value of 36.31, measured using a handheld

    refractometer (Atago Co., Tokyo, Japan). After produc-

    tion, the UF concentrate was poured into bottles (100 mL),

    heat treated (62 1C for 30 min), quickly cooled to approxi-

    mately 4 1C in an ice–water bath and stored in a freezer

    (23 1C). The frozen UF concentrate was used within one

    month. Compared with fresh UF concentrate, the coagula-

    tion properties of frozen UF concentrate stored or two

    months was shown not to be significantly different (results

    not shown).

    Prior to use in experiments, UF concentrate and

    unconcentrated skim milk was thawed in a water bath

    (30 1C) for 1 h. Thimerosal (0.02%, w/w; Merck, Darm-

    stadt, Germany) was added as a preservative to all samples

    to prevent microbial growth. The samples were equili-

    brated for 24h at 30 1C before glucono-d-lactone (GDL;

    Acros Organics, Geel, Belgium) was added to samples of 

    UF concentrate and unconcentrated skim milk in order to

    obtain a final pH of 5.8 after 24 h of storage at 30 1C after

    GDL addition.

     2.2. Chemical analysis of unconcentrated skim milk and the

    UF concentrate

    The pH was measured directly using a Knick Portamess

    (Knick Elektronische Messgera ¨ te, Berlin, Germany)

    equipped with a Hamilton Tiptrode (Hamilton Instru-

    ments, Bonaduz, Switzerland). Total solid contents weredetermined according to the International Dairy Federa-

    tion (IDF) standard method (IDF, 1991). Nitrogen was

    determined using a Kjeltec System 1026 Analyzer (Tecator,

    Ho ¨ gana ¨ s, Sweden). Total nitrogen (TN), non-casein

    nitrogen (NCN) and non-protein nitrogen (NPN) were

    determined according to the IDF standard methods (IDF,

    1993). The protein content was estimated by multiplying

    the nitrogen content for casein by 6.36 and whey protein by

    6.28 (van Boekel   &   Ribadeau-Dumas, 1987). Determina-

    tion of lactose was carried out with a Lactose/ D-Galactose

    Enzymatic BioAnalysis-kit (Scil Diagnostica, Martinsried,

    Germany) according to the manual of the manufacturer.

    All chemical analyses were performed at least in duplicate.

    Casein has been reported to be totally demineralized

    from colloidal calcium phosphate at pH 2.7 (Le Grae ¨t  &

    Gaucheron, 1999). Thus, by adjusting the pH to the

    interval 2.2–3.0 using 1 M HCl, all the colloidal calcium was

    dissolved in the serum phase of unconcentrated skim milk

    and UF concentrate. At pH 5.8, adjusted by GDL, only a

    part of the colloidal calcium is dissolved in the serum phase

    of skim milk and UF concentrate. Rennet (CHY-MAX

    Extra Liquid, Chr. Hansen A/S, Hørsholm, Denmark) was

    diluted 10 times and 2.5 mL g1 sample was added to

    samples 24 h after addition of HCl or GDL. The samples

    were then stirred for 1.5min. The samples coagulated in24 h (30 1C) and the serum phase could be separated from

    the gels by ultracentrifugation (100000g   for 60 min at

    30 1C) using a Beckman L8-70M Ultracentrifuge with a

    SW28 rotor (both from Beckman Instruments Inc.,

    Palo Alto, CA, USA). Following centrifugation,

    the supernatant was carefully removed and transferred to

    plastic tubes, which were placed in the freezer (23 1C)

    for later determination of calcium. Prior to analysis

    the supernatants were thawed in a water bath (20 1C).

    Two supernatants of every sample were individually

    prepared.

    The calcium concentration was determined using a

    Perkin Elmer Atomic Absorption Spectrometer (Perkin

    Elmer, Boston, MA, USA). A calibration curve was

    created by measuring standard solutions of CaCl2. Super-

    natant solutions from ultracentrifugation were diluted with

    double deionized H2O. Diluted supernatant solutions of 

    samples and standard solutions contained 0.02654 M LaCl3.

    Dilution of every solution was performed at two indepen-

    dent times to quantify the error of the sample preparation.

     2.3. Degree of  k-casein hydrolysis during renneting

    Different amounts of rennet [0.010–0.003 International

    Milk Clotting Units (IMCU) g1

    , CHY-MAX Extra

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    Liquid] were added to the samples (75 g each) of 

    UF concentrate and unconcentrated skim milk (both

    pH 5.8) 24h after addition of GDL. After rennet

    addition the samples were gently stirred for 1.5 min

    with a Stir-Pak laboratory mixer (Cole-Parmer Instru-

    ments, Chicago, IL, USA) equipped with a paddle blade

    stirrer.Degree of  k-casein hydrolysis in the UF concentrate and

    the unconcentrated skim milk was determined at appro-

    priate times after rennet addition as described by   van

    Hooydonk and Olieman (1982). Samples of ungelled or

    gelled milk were dissolved in trichloroacetic acid and the

    amount of glycomacropeptide (GMP), i.e., one of the

    products released following hydrolysis of   k-casein was

    quantified after separation on a RP-HPLC column

    (Nucleosil C18, Macherey-Nagel GmbH, Du ¨ ren, Ger-

    many). There was a higher concentration of casein in our

    UF concentrate as compared with the samples of   van

    Hooydonk and Olieman (1982), and the amounts of added

    chemicals and levels of dilution were consequently ad-

     justed.

     2.4. Rheological properties during renneting

    The rheological properties during rennet coagulation

    were monitored by small amplitude oscillatory shear

    (SAOS) in a stress controlled rheometer (Bohlin C-VOR,

    Malvern Instruments, Malvern, England) equipped with

    a measuring system consisting of two coaxial cylinders

    (14.0 and 15.4 mm in diameter, Malvern Instruments).

    The instrument recorded the elastic modulus (G 0),

    the viscous modulus (G 00

    ) and the phase angle (d) a t astrain (g) of 0.002 and a frequency ( f ) of 1 Hz. This strain

    was found to be well within the visco-elastic region for

    both the UF concentrate and the fully developed casein

    gels. All curves of the three measured parameters versus

    time were smoothed using the loess function in Mathcad

    2001i Professional (MathSoft Engineering & Education,

    Inc., 1986–2001, Cambridge, MA, USA) to compensate

    for small fluctuations defined as noise. The loess function

    generates a set of second order polynomials to fit the

    data over time (MathSoft Engineering &  Education, Inc.,

    2001). An appropriate number of second order polyno-

    mials were chosen in order not to over-fit the data.

    The coagulation time was defined as the time when

    G 0 exceeded   G 00 (Curcio et al., 2001). An inflection point

    in   G 0 appeared before the coagulation point and the

    time when this inflection point occurred was also deter-

    mined. After the coagulation point a maximum value in

    (dG 0/dt) was detected. At (dG 0/dt)max,   d   did not change

    with time and the mean value in this region was taken

    as   d   during gel firming. Means and standard deviations

    of coagulation time, time for inflection in   G 0 before

    coagulation and   d   at gel firming were all calculated

    from three measurements. Representative coagulation

    curves of some selected samples are graphically shown in

    this paper.

     2.5. Microstructure by confocal laser scanning microscopy

    (CLSM)

    For samples investigated with CLSM, 0.005% (w/w)

    Rhodamine B (Merck) was mixed with the milk sample

    after pH adjustment with GDL but before addition of 

    rennet. After rennet addition and 1.5 min of mixing(equipment as described above), smaller proportions of 

    the samples were transferred to a microscope slide with a

    polished cavity. The exposed sample surface was then

    covered by a cover slip and a thin sticky plastic film (i.e., to

    prevent evaporation) before the sample was left to

    coagulate at 30 1C for 24 h and then further storage at

    13 1C (up to 60 days).

    The microstructures of samples were examined during

    and after rennet coagulation by a Leica TCS 4D confocal

    laser scanner with a Leitz DM RB/E* microscope (Leica

    Microsystems, Heidelberg, Germany) equipped with a

    water-immersion optics (63 times magnification, numerical

    aperture 1.4). Two-dimensional images were recorded at a

    distance below the cover slip where the protein micro-

    structure did not appear to be affected by surface

    phenomena due to the presence of the cover slip. A

    568 nm laser was used to detect Rhodamine B stained

    protein and emitted light of wavelength 580–623 nm was

    recorded. Light intensity at recording was standardized by

    using the Glow-over function in the software (Leica TCS

    NT, version 1.6.587, Leica Microsystems).

    3. Results

    The chemical composition of skim milk and UFconcentrate confirmed that not only the caseins but also

    the whey proteins were fully retained by the UF membrane

    (Table 1). The UF permeate contained no proteins but a

    low content of NPN (results not shown). The UF

    concentrate had a slightly lower pH (6.52) than the

    unconcentrated raw material (6.66), which is in accordance

    with earlier observations (Walstra, Geurts, Noomen,

    Jellema, & van Boekel, 1999).

    3.1. Rennet coagulation and hydrolysis of  k-casein

    All coagulation experiments were made at pH of 5.8

    because the unrenneted UF concentrate has a low viscosity

    at this pH (Karlsson et al., 2005). In un-renneted UF

    concentrate at pH 5.8 the measured  G 00 was larger than  G 0

    (results not shown). In the interval pH 6.1–5.2, the

    rheological properties of UF concentrate are very variable

    and  G 00 does not always exceed  G 0 (Karlsson et al., 2005).

    With increased rennet concentration the coagulation

    time decreased and the maximum gel firming rate, i.e.,

    (dG 0/dt)max, after coagulation increased (Table 2). The

    maximum gel firming rate increased linearly (R240:99)

    with the rennet concentration. Initially   d  changed during

    renneting but it remained constant for all samples

    after (dG 0/dt)max   was reached and regardless of rennet

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    concentration this constant value was not significantly

    different between samples (Table 2). Similar data have been

    found in previous studies on both unconcentrated and

    concentrated skim milk (Culioli  &   Sherman, 1978;  Zoon,

    van Vliet,   &   Walstra, 1988). For comparison, 0.010 IM-

    CU g1 of rennet was added to both UF concentrate and

    unconcentrated skim milk (Fig. 1). The unconcentrated

    skim milk had a shorter coagulation time and a lower gel

    firming rate (Fig. 1) than the UF concentrate. In a

    relatively short time (i.e., 50 min),   G 0 and   G 00 of the

    unconcentrated skim milk reached plateau values.

    For all samples of UF concentrate in   Table 2, an

    inflection point in both moduli could be detected prior to

    the time where   G 0 exceeded   G 00. This is illustrated for a

    sample of UF concentrate shown in   Fig. 1. A similar

    inflection point in  G 0 could not be detected for unconcen-

    trated skim milk (Fig. 1, insert).

    It is expected for  k-casein to be hydrolysed to varying

    degrees in milks with different casein concentrations before

    a gel develops (Curcio et al., 2001). By plotting  G 0 and  G 00

    as function of  k-casein hydrolysis for the same samples as

    in   Fig. 1, it was estimated that less than 20% of the

    k-casein was hydrolysed by the rennet when the UF

    concentrate reached the coagulation point (Fig. 2). For the

    unconcentrated skim milk with the same concentration of 

    rennet approximately 50% of   k-casein was hydrolysed

    when G 0

    4G 00

    .For the samples of UF concentrate, as well as for those

    of unconcentrated skim milk, with different concentrations

    of added rennet, the time at inflection point in   G 0 and

    coagulation times were plotted as function of the inverse of 

    the rennet concentration (Fig. 3). Such plots are known as

    Hoelter–Foltmann plots (Foltmann, 1959). Linear regres-

    sions of data for time at inflection point in   G 0 and

    coagulation times for the UF concentrate resulted in

    similar intercepts on the   y-axis but in a higher slope for

    the linear equation of the coagulation time data. The

    coagulation times (i.e., when  G 0 became larger than G 00) of 

    the unconcentrated skim milk resulted in a linear equation

    with a lower slope and lower value of the intercept with the

     y-axis.

    3.2. Microstructure

    When the microstructure of unconcentrated skim milk

    and the UF concentrate was monitored during renneting

    using CLSM, major differences could be observed (Fig. 4).

    Larger aggregates of casein micelles were formed more

    rapidly and within a shorter time interval in the unconcen-

    trated skim milk. Also, due to the lower protein

    concentration, the non-protein areas constituted a larger

    fraction in the gels of the unconcentrated skim milk. Even

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    Table 1

    Composition of skim milk and UF concentrate

    Skim milk UF concentrate

    Total solids % (w/w) 9.1970.00a 30.8670.04a

    pH (30 1C) 6.66b 6.52b

    Casein (g 100 g1) 2.75b 19.81b

    Whey protein (g 100g1) 0.54b 3.48b

    Lactose (g 100g1) 5.1270.13c 4.2770.15c

    Total Ca (mg kg1) 1195716d 68077125d

    Ca in serum phase (pH 5.8) (mg kg1) 625725d 1423778d

    aValues are means and standard deviations of two replicates.bValues are means of three replicates.cValues are means and standard deviations of three replicates.dValues are means and standard deviations of two replicates measured

    two times.

    Table 2

    Time for inflection point in  G 0 before coagulation point, coagulation time

    (i.e., time when   G 0 became larger than   G 00), maximum gel firming rate(dG 0/dt)max   after coagulation point and value of phase angle after

    coagulation point (i.e., when phase angle did not change with time) at

    renneting of UF concentrate.a See text for further details

    Rennet

    concentration

    (IMCU g1)

    Time at

    inflection

    point in  G 0

    (min)

    Coagulation

    time (min)

    (dG 0/dt)max(Pamin1)

    Phase angle

    at gel firming

    (1)

    0.016 22.775.2 32.370.7 240.176.1 16.970.2

    0.013 23.873.1 35.770.8 199.873.3 16.970.1

    0.010 27.270.8 44.371.6 168.371.2 16.770.2

    0.008 42.271.5 57.270.3 134.375.6 17.3770.4

    0.005 45.971.8 79.475.1 95.2572.4 17.370.2

    0.003 71.970.4 131.277.2 66.871.4 16.870.4

    aValues are means and standard deviation of three replicates.

    Parameters are defined in the text.

    Fig. 1. Development of the elastic modulus (G 0, filled symbols) and

    viscous modulus (G 00, open symbols) during rennet coagulation of skim

    milk (circles) and UF concentrate (squares) at pH 5.8 after rennet addition

    (0.010IMCU g1

    ). Arrow indicates the approximate position of theinflection point (i.e., 27min) in   G 0 for UF concentrate before the

    coagulation point (G 04G 00). The coagulation temperature was 30 1C.

    The insert is a close-up showing data points ( G 0 and G 00) in the time region

    of skim milk coagulation.

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    after 45 min, which is close to the measured coagulation

    time of 44 min, no large aggregates were observed in the

    UF concentrate (Fig. 4F). At longer times (i.e., 54 min;

    Fig. 4G) the individual aggregates in the UF concentrate

    still appeared smaller and less dense compared to the

    aggregates found just after aggregation in the unconcen-

    trated skim milk. However, even though only small

    aggregates had formed in the UF concentrate a very firm

    gel had developed (Fig. 4G).

    After 24 h, extensive micro- and macrosyneresis resulted

    in a coarse protein network in the gel made from

    unconcentrated skim milk (Fig. 5A). The fusion of casein

    micelles and casein strands resulted in a microstructure

    where structures of casein, with a size of roughly 20–40 mm,

    were linked together. The size of the casein structures after

    24 h were approximately 4 times larger than the aggregates

    of casein micelles at the coagulation point (Fig. 4C). Such

    extensive changes in the microstructure were not apparent

    during firming of the gel made from UF concentrate. Infact, no visible differences were discerned between the

    microstructures of gels observed 215 min (Fig. 4H) and 24 h

    (Fig. 5B) after rennet addition. The gel microstructure had

    undergone microsyneresis but no macrosyneresis, i.e., whey

    separation from the gel, in the gels from UF concentrates

    after extended storage (i.e., 60 days; Fig. 5C). After 60 days

    (13 1C) larger structures had formed in the gel from UF

    concentrate but they were still much smaller than the

    structures in the gel from the unconcentrated skim milk

    24 h after rennet addition.

    4. Discussion

    4.1. Aggregation of casein micelles in UF concentrate

    In UF concentrate the distance between unrenneted

    casein micelles is smaller than the diameter of the micelles

    and they interact strongly over short distances, i.e.,

    approximately 7.9 nm at pH 5.8 (Karlsson et al., 2005).

    The moduli  G 0 and G 00 of the UF concentrate can hence be

    expected to be highly sensitive to changes in the sterical and

    electrostatic stability of the casein micelles caused by

    hydrolysis of  k-casein prior to coagulation (Karlsson et al.,

    2005). This was confirmed when both   G 0 and   G 00 initially

    decreased after rennet addition (Fig. 1). At approximately25 min   G 0 then started to increase slightly (Fig. 1). The

    slight increase in   G 0 can probably be referred to an

    aggregation and a creation of a loose network at a certain

    degree of  k-casein hydrolysis (Fig. 2). This resulted in the

    characteristic inflection point in G 0, which could be referred

    to an aggregation point although aggregation probably

    started somewhat earlier. A similar trend could not be

    detected in unconcentrated skim milk, in which the casein

    micelles interact over much longer distances (Walstra   &

    Jenness, 1984).

    4.2. Coagulation of UF concentrate and unconcentrated 

    skim milk 

    Much research has been performed on the coagulation of 

    different milk concentrates but only very limited work has

    been done on concentrates with casein concentrations

    approaching 20% (w/w), as in this study. Although

    previous studies have reported elastic properties, i.e.,   G 0,

    for rennet gels with a lower casein concentration, it has

    been clear that increased casein concentration results in

    larger   G 0 (Hyldig, 1993). Thus, the higher casein concen-

    tration made G 0 of the UF concentrate to rapidly exceeded

    G 0 of the gel from unconcentrated skim milk once the

    coagulation occurred (Fig. 1).

    ARTICLE IN PRESS

    Fig. 2. The elastic modulus (filled symbols) and viscous modulus (open

    symbols) as function of the degree of  k-casein hydrolysis during renneting

    at 30 1C for unconcentrated skim milk (circles) and UF concentrate

    (squares) of pH 5.8.

    Fig. 3. Hoelter–Foltmann plots of the time of inflection point in   G 0

    (i.e., aggregation time, J) and coagulation time (K) for UF concentrate;

    and coagulation time for unconcentrated skim milk (.) for different

    additions of rennet. All samples of pH 5.8. Linear regressions of the data

    showed in all cases  R240:98. The time of the inflection point in  G 0 and

    coagulation times where extracted from coagulation curves (such as in Fig.

    1). The coagulation time was when   G 04G 00. Bars indicate standard

    deviation of three replicates.

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    Fig. 4. Confocal images of skim milk (A–D) and UF concentrate (E–H) during renneting. The rennet concentration was 0.010IMCU g1 and the

    coagulation temperature 30 1C for both samples. Below each image, time after rennet addition and elastic modulus at that time is indicated. Proteins were

    labelled with Rhodamine B and appear white on micrographs.

    Fig. 5. Confocal images of rennet induced casein gels made from: (A) unconcentrated skim milk 24 h after rennet addition; (B) UF concentrate 24 h and

    (C) 60 days after rennet addition. Gels were let to develop at 30 1C for the first 24 h. At storage longer than 24 h, the temperature was 13 1C. Rennet

    concentration in all gels (A–C) was 0.010 IMCU g1. Proteins were labelled with Rhodamine B and appear white on micrographs.

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    Rennet coagulation of casein micelles in unconcentrated

    skim milk is known to involve three reactions: enzymatic

    hydrolysis of  k-casein, aggregation of casein micelles and

    creation of a gel network (Walstra and van Vliet, 1986).

    The three reactions are not separated in time at cheese

    making (Walstra and van Vliet, 1986) and this was seen for

    the unconcentrated skim milk (pH 5.8) in   Fig. 2, whereonly   50% of the   k-casein had been enzymatically

    hydrolysed when the coagulation occurred, i.e.,   G 04G 00.

    In a UF concentrate the same three reactions, i.e.,

    enzymatic reaction, aggregation and creation of a gel

    network, will take place as a consequence of renneting.

    Complete hydrolysis of the k-casein took more time due to

    lower rennet–casein ratio in the UF concentrate than in the

    unconcentrated skim milk. This explained why coagulation

    is achieved later for the UF concentrate (Fig. 1). However,

    it is evident that the coagulation point occurs at a lower

    degree of   k-casein hydrolysis in the UF concentrate

    compared to the unconcentrated skim milk (Fig. 2). This

    has been proposed by Sharma et al. (1994) to be caused by

    a smaller mean free distance between micelles, which

    increases the collision frequency, and higher concentrations

    of ionic calcium, which reduces the electrostatic repulsions,

    in UF concentrates.

    Hoelter–Foltmann plots (Foltmann, 1959) were used to

    estimate whether the coagulation was influenced by factors

    other than the hydrolysis of  k-casein. If the intercept in a

    Hoelter–Foltmann plot (Fig. 3) is zero, this indicates that

    coagulation occurs instantaneously at infinitely high rennet

    concentrations, i.e., only the enzymatic hydrolysis of   k-

    casein is the rate limiting reaction (Foltmann, 1959). Large

    values of the intercept indicate that other factors (e.g.,collision frequency and repulsion between micelles) are rate

    limiting for coagulation. Hoelter–Foltmann plots of our

    data indicated that coagulation was more limited by other

    factors than k-casein hydrolysis in UF concentrate than in

    unconcentrated skim milk (Fig. 3).   Sharma et al. (1994)

    suggested somewhat the opposite that factors like the small

    mean free distance between renneted micelles (i.e., giving

    high collision frequency) and the high concentration of 

    ionic calcium (i.e., screening of charges) in a concentrate

    would result in decrease of coagulation rate. However, the

    UF concentrate has a substantial zero shear viscosity

    (Karlsson et al., 2005) and hence a limited movement of 

    micelles and a concomitant reduced rate of coagulation.

    On the other hand, since coagulation took place at a lower

    degree of   k-casein hydrolysis in the UF concentrate

    (Fig. 2), the proportion of collisions between micelles

    resulting in aggregation during renneting can be assumed

    to be higher in the UF concentrate than in the unconcen-

    trated skim milk.

    There was significant difference in the microstructural

    appearance of the formed aggregates and protein network

    (Fig. 4) at the coagulation point between unconcentrated

    and concentrated skim milk. The microstructure of the

    unconcentrated skim milk during coagulation was clearly a

    result of diffusion of micelles and microsyneresis in the

    protein network (Fig. 4A–D). In the UF concentrate, the

    high zero shear viscosity and the early development of a

    loose network (as indicated by the increasing   G 0 prior to

    actual coagulation) resulted in a restricted diffusion of 

    micelles and aggregates. The micrographs clearly support

    that impaired diffusion hindered the growth of aggregates

    and incorporation of material into the protein network.

    4.3. Syneresis of gels from UF concentrate and 

    unconcentrated skim milk 

    Syneresis in casein gels comprises microsyneresis, i.e.,

    rearrangements of the casein network on a microstructural

    level, and macrosyneresis, i.e., separation of whey from the

    gel on a macroscopic level (Mellema, 2000). In the

    unconcentrated skim milk microsyneresis started just

    minutes after coagulation (Fig. 4C and D) whereas the

    results of the same process in the gel from UF concentrate

    were first apparent later, i.e., some 10min after the

    coagulation time (Fig. 4G). The reason for this observed

    delay in microsyneresis could be the reduced rate of 

    hydrolysis of   k-casein in the UF concentrate and the

    occurrence of coagulation at a lower degree of   k-casein

    hydrolysis when the micelles were still partially stabilized

    (Fig. 2). It took, in fact, approximately 9 h for all the  k-

    casein to be hydrolysed (results not shown). If the surface

    of casein particles are only partially covered with  k-casein

    the reactivity between them, i.e., ability to bind to each

    other, will be low (van Vliet, van Dijk, Zoon,  & Walstra,

    1991). This will in turn decrease the endogenous syneresis

    pressure in the gel, which is the main factor determining the

    rate of rearrangements in a casein gel (van Vliet et al.,1991). Rearrangements of the microstructure in a rennet

    gel gradually strengthens the protein strands and causes an

    increase in   G 0 after coagulation (Zoon et al., 1988). A

    strong correlation (R240:99) between the maximum gel

    firming rate (dG 0/dt)max  and the rennet concentration well

    illustrated that in our experiments the hydrolysis of 

    k-casein did indeed strongly influence the rate of rearran-

    gements (Table 2). This type of strong linear relationship

    has not been shown for unconcentrated skim milk at native

    pH where the structure of aggregates during the initial

    aggregation and gel formation has been suggested to

    influence the gel firming rate (Lomholt & Qvist, 1999).

    After one day of storage when all   k-casein was

    hydrolysed, the rearrangements in the protein network

    seemed to have ceased at a stage where the strands of 

    casein formed in the gel from UF concentrate appeared

    smaller (Fig. 5B) than in the gel from unconcentrated skim

    milk (Fig. 5A). Macrosyneresis was not detected in the gel

    from UF concentrate as is was in the gel from unconcen-

    trated skim milk.

    The endogenous syneresis pressure in the gel can break

    existing bonds within and between strands of proteins and

    facilitate formation of new bonds. When the bonds within

    the casein network are strong enough to resist the stress

    from the endogenous syneresis pressure, the pressure in the

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    gel will decrease and the rearrangements cease. The

    development of an endogenous syneresis pressure is

    dependent on the reactivity between casein particles,

    bending stiffness of protein strands and the relaxation

    times and number of bonds in the protein strands of a

    casein gel (van Vliet et al., 1991). The temperature in our

    experiments was always 301

    C and pH 5.8 of gels from bothUF concentrate and unconcentrated skim milk, thus, the

    reactivity between casein particles after all   k-casein had

    been hydrolysed was the same.   Zoon et al. (1988)   has

    shown that   d   (and hence the relaxation time) does not

    change due to increasing casein concentration and our

    results also indicated no significant difference in d  (at 1 Hz)

    between gels from UF concentrate and unconcentrated

    skim milk (Table 2). The higher density of casein, however,

    can be assumed to have caused a very rapid formation of 

    many strong bonds between strands of casein with a high

    bending stiffness in the gel from UF concentrate. The

    resultant strong protein strands could then presumably

    resist the endogenous syneresis pressure and hence the

    rearrangements ceased earlier than in unconcentrated skim

    milk.

    The microstructure was also well preserved upon longer

    storage of the gel. During 60 days of storage at 13 1C, some

    rearrangements in the casein network occurred (Fig. 5C).

    The very fine stranded protein network, i.e., large surface

    to volume ratio, in the gel made from UF concentrate

    could explain why cheese from concentrates can contain a

    relatively large amount of water.

    5. Conclusions

    In skim milk UF concentrate (pH 5.8) with a casein

    concentration of 19.8% (w/w), rennet coagulation occurred

    at a lower degree of hydrolysis of   k-casein than in

    unconcentrated skim milk with the same amount of rennet

    added and it took a longer time for the gel to develop

    maximum firmness. In a concentrate, it takes a longer time

    for all k-casein to hydrolyse, and this prolongs the stability

    of the casein micelles and delays completion of the gel

    ageing. The aggregation phase of the coagulation reaction

    was extended in the UF concentrate, possibly due to the

    higher zero shear viscosity retarding the diffusion rate and

    collision frequency between casein micelles.

    Compared to unconcentrated skim milk, the aggregates

    formed in the UF concentrate were much smaller and

    could not be detected with CLSM prior to coagulation

    point. Only about 10 min after the coagulation time, larger

    structures could be detected. Due to the higher volume

    fraction of casein micelles in the UF concentrate than in

    unconcentrated skim milk, the bonds between casein

    strands will strengthen rapidly preventing further rearran-

    gements in the gel microstructure. Thus, the casein network

    was less coarse in gels made from UF concentrate and the

    microstructure was preserved during storage at 13 1C for 60

    days. This is proposed to be one of the reasons for the high

    water content of cast cheese made using UF.

    Acknowledgements

    This study was initiated by Karsten Bruun Qvist (now

    present at Danisco A/S, Copenhagen) and was financially

    supported by the Danish Dairy Research Foundation and

    the Danish Governmental Research Program (FØTEK 3).

    The technical assistance from Anni Nielsen and VivianPedersen is gratefully acknowledged.

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