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2.5 Kinetics of Enzyme-Catalyzed Reactions 131

Table 2.12. Thermal inactivation of enzymes to prevent deterioration of food quality

Food product Enzyme Quality loss

Potato products, Monophenol Enzymatic browning

apple products oxidase

Semi-ripe peas Lipoxygenase, Flavor defects;

peroxidase bleaching

Fish products Proteinase, Texture (liquefaction),

thiaminase loss of vitamine B 1

Tomato purée Polygalacturonase Texture (liquefaction)

Apricot products β-Glucosidase Color defects

Oat flakes Lipase, Flavor defects

lipoxygenase (bitter taste)

Broccoli Cystathionine Off-flavor

Cauliflower β-Lyase

(cystine-lyase)

rioration caused by enzymes which can be eliminated

The co-called “D-value” represents the time

t = 2,3

k = D (2.83) (2.85)

e. g., by thermal inactivation.

needed to reduce the initial concentration

Temperature and time are two parameters responsible

for the effects of a thermal treatment. They

(activity, germ count) by one power of ten.

It refers to a certain temperature which has

should be selected carefully to make sure that all to be stated in each case. For example:

necessary changes, e. g., killing of pathogens, are Bacillus cereus D ◦ 121 C = 2.3s, Clostridium

guaranteed, but still all undesired changes such as

degradation of vitamins are kept as low as possible.

botulinum D ◦ 121 C = 12.25 s. For a heat treatment

process, the D-value allows the easy determination

of the holding time required to reduce

the germ count to a certain level. If the germ

count of B. cereus or Cl. botulinum in a certain

2.5.4.1 Time Dependence of Effects

food should be reduced by seven powers of ten,

the required holding times are 2.3 × 7 = 16.1s

The reaction rates for different types of enzymatic and 12.25 × 7 = 85.8s.

reactions have been discussed in section 2.5.1.

The inactivation of enzymes and the killing of microorganisms

can be depicted as a reaction of 1st 2.5.4.2 Temperature Dependence of Effects

order:

c t = c 0 e −kt (2.80)

A relationship exists for the dependence of reactionrateontemperature.Itisexpressedbyan

with c 0 and c t = concentrations (activities, germ

counts) at times 0 and t, and k = rate constant

for the reaction. For c t and t follows from equation

equation of Arrhenius:

k = A · e −E a/RT

(2.84)

2.80:

with k = rate constant for the reaction rate,

logc t = − k

E a = activation energy, R = general gas constant

2,3 · t + logc 0 (2.81) and A = Arrhenius factor. For the relationship

between k and T, the Arrhenius equation is only

t = 2,3

k log c 0

(2.82)

an approximation. According to the theory of

c t the transition state (cf. 2.2.1), A is transferred

via the active state A # into P. A and A # are in

c 0 /c t = 10 gives:

equilibrium.

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