AMP for binding to phosphorylase and, in doing so, pre-
vents the relative motions of the three polypeptide seg-
ments required for phosphorylase activation.
The above allosteric interactions are superimposed on
an even more sophisticated control system involving cova-
lent modifications (phosphorylation/dephosphorylation) of
glycogen phosphorylase and glycogen synthase.These mod-
ifications alter the structures of the enzymes so as to change
their responses to allosteric regulators. We shall therefore
discuss the general concept of covalent modification and
how it increases the sensitivity of a metabolic system to ef-
fector concentration changes.We subsequently consider the
functions of such modifications in glycogen metabolism.
Only then will we be in a position to take up the detailed
consideration of allosteric control in glycogen metabolism.
B. Covalent Modification of Enzymes by Cyclic
Cascades: Effector “Signal” Amplification
Glycogen synthase and glycogen phosphorylase can each be
enzymatically interconverted between two forms with differ-
ent kinetic and allosteric properties through a complex
series of reactions known as a cyclic cascade. The intercon-
version of these different enzyme forms involves distinct,
enzyme-catalyzed covalent modification and demodifica-
tion reactions.
Compared with other regulatory enzymes, enzymati-
cally interconvertible enzyme systems:
1. Can respond to a greater number of allosteric stimuli.
2. Exhibit greater flexibility in their control patterns.
3. Possess enormous amplification potential in their re-
sponses to variations in effector concentrations.
This is because the enzymes that modify and demodify a tar-
get enzyme are themselves under allosteric control. It is
therefore possible for a small change in concentration of an
allosteric effector of a modifying enzyme to cause a large
change in the concentration of an active, modified target en-
zyme. Such a cyclic cascade is diagrammed in Fig. 18-12.
a. Description of a General Cyclic Cascade
Figure 18-12a shows a general scheme for a cyclic cascade
where, by convention, the more active target enzyme form
has the subscript a and the less active form has the subscript
b. Here, modification, in this case, phosphorylation, activates
the enzyme. Note that the modifying enzymes, F and R, are
active only when they have bound their respective allosteric
effectors e
1
and e
2
.The kinetic mechanisms for the intercon-
version of the unmodified and modified forms of the target
enzyme, E
b
and E
a
, are indicated in Fig. 18-12b.
In the steady state, the fraction of E in the active form,
[E
a
]冫[E]
T
(where [E]
T
[E
a
] [E
b
] is the total enzyme con-
centration),determines the rate of the reaction catalyzed by
E. This fraction is a function of the total concentrations of
the modifying enzymes, [F]
T
and [R]
T
, the concentrations of
their allosteric effectors, e
1
and e
2
, the dissociation constants
of these effectors, K
1
and K
2
, and the substrate dissociation
constants, K
f
and K
r
, of the target enzymes, as well as the
rate constants, k
f
and k
r
,for the interconversions themselves
(Fig. 18-12). This relationship is obviously quite complex.
Nevertheless, it can be shown that, in a cyclic cascade, a rel-
atively small change in the concentration of e
1
, the allosteric
effector of the modifying enzyme F, can result in a much
larger change in [E
a
]冫[E]
T
, the fraction of E in the active
form. In other words, the cascade functions to amplify the
sensitivity of the system to an allosteric effector.
We have so far considered the covalent modification of
only one enzyme, a monocyclic cascade. Imagine a bicyclic
cascade involving the covalent modification of one of the
modifying enzymes (F), as well as the metabolic target en-
zyme (E) (Fig. 18-13). As you might expect, the amplifica-
tion potential of a “signal,” e
1
, as well as the control flexibil-
ity of such a system, is enormous.
650 Chapter 18. Glycogen Metabolism
Figure 18-12 A monocyclic enzyme cascade. (a) General
scheme, where F and R are, respectively, the modifying and
demodifying enzymes.These are allosterically converted from
their inactive to their active conformations on binding their
respective effectors, e
1
and e
2
.The target enzyme, E, is more
E
b
E
b
E
b
ATP F • e
1
F
• e
1
• ATP • F • e
1
K
f
P
i
k
f
k
r
R
R
R
e
2
e
2
e
2
(b)
ADP
E
a
E
a
E
a
K
r
P
P
P
•
•
•
•
E
b
P
i
k
r
R
R
R
e
2
e
2
e
2
E
a
E
a
K
r
P
P
•
•
•
•
E
b
E
a
K
1
K
2
P
i
R
F
e
2
e
1
(a)
ADP
ATP
H
2
O
R • e
2
F • e
1
P
More
active
More
active
More
active
Less
active
Less
active
Less
active
active in the modified form (E
a
) and less active in the unmodified
form (E
b
). Dashed arrows symbolize catalysis of the indicated
reactions. (b) Chemical equations for the interconversion of the
target enzyme’s unmodified and modified forms E
b
and E
a
.
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