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122 2 Enzymes

mechanism:

(2.51)

In an “ordered mechanism” the binding during

the catalyzed reaction according to equation 2.49

is as follows:

(2.52)

Alcohol dehydrogenase reacts by an “ordered

mechanism”, although the order of the binding of

substrates NAD + and ethanol is decided by the

ethanol concentration. NAD + is absorbed first at

low concentrations (< 4 mmol/l):

In enzymatic reactions where functional group

transfers are involved, as a rule only binary

enzyme-substrate complexes are formed by the

so-called “ping pong mechanism”.

A substrate is adsorbed by enzyme, E, and reacts

during alteration of the enzyme (a change in

the oxidation state of the prosthetic group, a conformational

change, or only a change in covalent

binding of a functional group). The modified enzyme,

which is denoted F, binds the second substrate

and the second reaction occurs, which regenerates

the initial enzyme, E, and releases the

second product:

(2.54)

The glycolytic enzyme hexokinase reacts by

a “ping pong mechanism”:

(2.53)

When the ethanol concentration is increased to 7–

8 mmol/l, ethanol is absorbed first, followed by

the cosubstrate. The order of removal of products

(acetaldehyde and NADH) is, however, not

altered.

Polyphenol oxidase from potato tubers also reactsbyan“ordered

mechanism”. Oxygen is absorbed

first, followed by phenolic substrates. The

main substrates are chlorogenic acid and tyrosine.

Enzyme affinity for tyrosine is greater and

the reaction velocity is higher than for chlorogenic

acid. The ratio of chlorogenic acid to tyrosine

affects enzymatic browning to such an extent

that it is considered to be the major problem

in potato processing. The deep-brown colored

melanoidins are formed quickly from tyrosine

but not from chlorogenic acid. In assessing

the processing quality of potato cultivars, the differences

in phenol oxidase activity and the content

of ascorbic acid in the tubers should also be

considered in relation to “enzymatic browning”.

Ascorbic acid retards formation of melanoidins

by its ability to reduce o-quinone, the initial product

of enzymatic oxidation (cf. 18.1.2.5.8).

2.5.1.2.2 Rate Equations

for a Two-Substrate Reaction

(2.55)

Here the reaction rate is distinguished by

its dependence on two reactants, either two

molecules of the same compound or two different

compounds. The rate equations can be derived by

the same procedures as used for single-substrate

catalysis. Only the final forms of the equations

will be considered.

When the catalysis proceeds through a ternary

enzyme-substrate complex, EAB, the general

equation is:

v 0 =

V

1 + K a

(A 0 ) + K b

(B 0 ) + K ja · k b

(A 0 )(B 0 )

(2.56)

When compared to the rate equation for a singlesubstrate

reaction (Equation 2.41), the difference

becomes obvious when the equation for a single-

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