112
chapter7 
Enzymes 11: Regulation
FIGURE 7-1
Relationship between the initial velocity (v) and the substrate 
concentration [S] for an allosteric enzyme that shows a homotropic effect. 
The substrate functions as a positive modulator. The profile is sigmoidal, 
and during the steep part of the profile, small changes in [S] can cause 
large changes in v. A'o.s represents the substrate concentration 
corresponding to half-maximal velocity.
binding site greatly enhances binding of the substrate 
at the other sites. As the substrate concentration 
increases, there is a large increase in the velocity of 
the reaction.
2. Owing to the above effect, the shape of the curve is 
sigmoidal.
3. The value of the substrate concentration 
corresponding to half-maximal velocity is designated 
as 
K0.5
and not 
Km
since the allosteric kinetics do not 
follow the hyperbolic Michaelis-Menten relationship.
4. Maximum velocity (Vmax) is attainable at a rather high 
substrate concentration, implying saturation of the 
catalytic site of the enzyme.
The v versus [S] plot for heterotropic enzymes is more 
complex. The kinetic profiles can be divided into two 
classes, depending upon whether the allosteric effector 
alters 
Kq,s
and maintains a constant Vmax or alters Vmax 
and maintains a nearly constant A'o.s. The v versus [S] 
profile of an allosteric enzyme that follows the former 
set of properties is shown in Figure 7-2. In the absence 
of any modulators, the profile is sigmoidal (curve a). In 
the presence of a positive modulator (curve b), the value 
for 
K05
is decreased; i.e., a lower substrate concentra-
tion is required to attain half-maximal velocity. Curve 
b is more hyperbolic than sigmoidal. Curve c obtained 
with a negative modulator is more sigmoidal than curve 
a, and the ATo.s value is increased, reflecting a decreased 
affinity for the substrate, i.e., a higher substrate concen-
tration is required to attain half-maximal velocity. Regula-
tion of the enzyme is achieved through positive and nega-
tive modulators. Thus, at a given substrate concentration 
(e.g., steady-state level), the activity of the enzyme
FIGURE 7-2
Relationship between the initial velocity (v) and the substrate 
concentration [S] for an allosteric enzyme that shows a heterotropic effect 
with constant Vmax but with varying A'o.s. Curve 
a
is obtained in the 
absence of any modulators, curve 
b
in the presence of a positive modulator, 
and curve 
c
in the presence of a negative modulator. Regulation is achieved 
by modulation of A'o.s without change in Vmax.
can be turned on or off with appropriate modulators. 
Figure 7-3 shows v versus [S] plots for allosteric enzymes 
modulated by changes in Vmax but retaining an essentially 
constant 
Ko.5.
This type of modulation is less common than 
the two previous cases considered. The positive modulator 
increases Vmax (curve b), whereas the negative modulator 
decreases Vmax (curve c).
Examples of Allosteric Proteins
We will consider two specific examples of allosteric 
proteins—one an enzyme and the other an oxygen 
transport protein.
FIGURE 7-3
Relationship between the initial velocity (v) and the substrate 
concentration [S] for an allosteric enzyme that shows a heterotropic effect 
with constant A'o.s but with varying VmaX. Curve a is obtained in the 
absence of any modulator, curve b in the presence of a positive modulator, 
and curve c in the presence of a negative modulator. Regulation is achieved 
by modulation of Vmax without change in A'o.s.