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58 1 Amino Acids, Peptides, Proteins

Table 1.27. Denaturation of β-lactoglobulins A and B

(β-LG-A, β-LG-B) and of α-lactalbumin (a-LA)

Protein n ϑ E a ln(k o ) ΔS≠

( ◦ C) (kJmol −1 )(s −1 ) (kJmol −1 )

K −1

β-LG-A 1.5 70–90 265.21 84.16 0.445

95–150 54.07 14.41 − 0.136

β-LG-B 1.5 70–90 279.96 89.43 0.487

95–150 47.75 12.66 − 0.150

α-LA 1.0 70–80 268.56 84.92 0.452

85–150 69.01 16.95 − 0.115

n: reaction order, δ: temperature, E a : activation energy,

k o : reaction rate constant, ΔS≠: activation entropy.

The values in Table 1.27 determined for activation

entropy also support the above mentioned

attribution. In the temperature range of 70–90 ◦ C,

S # is always positive, which indicates a state

of greater disorder than should be expected

with the predominance of the folding reaction.

On the other hand, the negative S # values at

95–105 ◦ C indicate a state of greater order than

should be expected considering that aggregation

predominates in this temperature range. Detailed

studies of the kind described above allow optimal

control of thermal processes. In the case of

milk processing, the data have made it possible,

for example, to avoid the separation of whey

proteins in heating equipment and to optimize

the properties of yogurt gels (cf. 10.1.3.3

and 10.2.1.2).

Figure 1.32 shows the denaturation of β-LG

in a diagram that combines the heating period

with the temperature (cf. 2.5.4.3) in the

form of straight lines of equal denaturation

degrees. This allows us to read directly the

time/temperature combinations required for

a certain desired effect. At 85 ◦ C/136 s for

example, only 60% of the β-LG-B are folded,

so that only 60% can aggregate, although 90%

would be potentially able to aggregate: at this

temperature, the folding determines the overall

reaction, as shown above. Conversely, 90% of

the protein is potentially folded at 95 ◦ C/21 s

while only 60% can be aggregated. At this

temperature, aggregation determines the overall

reaction.

Denaturation of biologically active proteins is

usually associated with loss of activity. The fact

Fig. 1.32. Lines of equal denaturation degrees of

β-lactoglobulin B. [The steeper lines correspond to the

folding (60%, 90%), the flatter lines to aggregation

(60%, 90%); at point a, 60% are folded and 90% can

be aggregated, corresponding to an overall reaction

of 60%; at point b, 90% are folded and 60% can be aggregated,

corresponding to an overall reaction of 60%;

according to Kessler, 1988]

that denatured proteins are more readily digested

by proteolytic enzymes is also of interest.

1.4.3 Physical Properties

1.4.3.1 Dissociation

Proteins, like amino acids, are amphoteric.

Depending on pH, they can exist as polyvalent

cations, anions or zwitter ions. Proteins differ

in their α-carboxyl and α-amino groups – since

these groups are linked together by peptide

bonds, the uptake or release of protons is limited

to free terminal groups. Therefore, most of the

dissociable functional groups are derived from

side chains. Table 1.28 lists pK values of some

protein groups. In contrast to free amino acids,

these values fluctuate greatly for proteins since

the dissociation is influenced by neighboring

groups in the macromolecule. For example, in

lysozyme the γ-carboxyl group of Glu 35 has a pK

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