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112 2 Enzymes

Fig. 2.13. Example of a transition state analog inhibitor a reaction of triosephosphate isomerase, TT: postulated

transition state; b inhibitor

2.4.2.2 Structural Complementarity

to Transition State

It is assumed that the active conformation of the

enzyme matches the transition state of the reaction.

This is supported by affinity studies which

show that a compound with a structure analogous

to the transition state of the reaction (“transition

state analogs”) is bound better than the substrate.

Hydroxamic acid, for example, is such a transition

state analog which inhibits the reaction of

triosephosphate isomerase (Fig. 2.13). Comparisons

between the Michaelis constant and the

inhibitor constant show that the inhibitor has

a 30 times higher affinity to the active site than

the substrate.

The active site is complementary to the transition

state of the reaction to be catalyzed. This assumption

is supported by a reversion of the concept.

It has been possible to produce catalytically active

monoclonal antibodies directed against transition

state analogs. The antibodies accelerate the

reaction approximating the transition state of the

analog. However, their catalytic activity is weaker

compared to enzymes because only the environment

of the antibody which is complementary to

the transistion state causes the acceleration of the

reaction.

Transition state analog inhibitors were used to

show that in the binding the enzyme displaces

the hydrate shell of the substrates. The reaction

rate can be significantly increased by removing

the hydrate shell between the participants.

Other important factors in catalytic reactions are

the distortion of bonds and shifting of charges.

The substrate’s bonds will be strongly polarized

by the enzyme, and thus highly reactive, through

the precise positioning of an acid or base group

or a metall ion (Lewis acid, cf. 2.3.3.1) (example

see Formula 2.15). These hypotheses are supported

by investigations using suitable transition

state analog inhibitors.

2.4.2.3 Entropy Effect

An interpretation in thermodynamic terms takes

into account that a loss of entropy occurs during

catalysis due to the loss of freedom of rotation

and translation of the reactants. This entropy

effect is probably quite large in the case

of the formation of an enzyme-substrate complex

since the reactants are fairly rigidly positioned before

the transition state is reached. Consequently,

the conversion of the enzyme-substrate complex

to the transition state is accompanied by little or

no change of entropy. As an example, a reaction

running at 27 ◦ C with a decrease in entropy

of 140 JK −1 mol −1 is considered. Calculations

indicate that this decrease leads to a reduction in

free activation energy by about 43 kJ. This value

falls in the range of the amount by which the activation

energy of a reaction is lowered by an enzyme

(cf. Table 2.1) and which can have the effect

of increasing the reaction rate by a factor of 10 8

The catalysis by chymotrypsin, for example,

shows how powerful the entropy effects can be.

In section 2.4.2.5 we will see that this catalysis is

a two-step event proceeding through an acylated

enzyme intermediate. Here we will consider

only the second step, deacylation, thereby

distinguishing the following intermediates:

a) N-acetyl-L-tyrosyl-chymotrypsin

b) Acetyl-chymotrypsin.

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