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Feedback inhibition and Precursor activation
Feedback Inhibition
• If the product of a series of enzymatic reactions, e.g., an amino acid, begins to accumulate within the cell, it may specifically inhibit the action of the first enzyme involved in its synthesis (red bar). Thus further production of the enzyme is halted.
Precursor Activation
• The accumulation of a substance within a cell may specifically activate (blue arrow) an enzyme that sets in motion a sequence of reactions for which that substance is the initial substrate. This reduces the concentration of the initial substrate.
• In the case if feedback inhibition and precursor activation, the activity of the enzyme is being regulated by a molecule which is not its substrate.
• In these cases, the regulator molecule binds to the enzyme at a different site than the one to which the substrate binds.
• When the regulator binds to its site, it alters the shape of the enzyme so that its activity is changed. This is called an allosteric effect.
• In feedback inhibition, the allosteric effect lowers the affinity of the enzyme for its substrate.
• In precursor activation, the
regulator molecule increases the affinity of the enzyme in the series for its substrate.
• The rate expression for allosteric enzymes is:
• Where n=co- operativity coefficient • n>1 indicates positive co-operativity(activator)• n<1 …inhibitor
• The co-operativity coefficient can be determined by rearranging the above eqn:
•
n
M
n
m
sK
sv
dt
dsv
*
n
m
nM svvsvK *
)(* vvsvKm
nM
nM
m
sKvv
v
*
)(
M
m
Ksnvv
v *lnln)(
ln
• These inhibitors are usually substrate analogs – compete with substrate to occupy the active site of the enzyme
• results in the formation of dead-end complex
• At high substrate concentrations the effect of the inhibitor will be reduced and the max. reaction rate will be obtained
• For example, malonic acid resembles succinic acid because both have two carboxyl groups.
• Malonic acid inhibits the action of succinic dehydrogenase on succinic acid by clogging the active site on the enzyme
Competitive Inhibition
PEESSE k
k
k 3
1
2
)()(0
eiesee
)(ei
eiK
I
)(3esk
dt
dpv
321
)()(
kkeseskdt
esd
321
)(0
,
kkesesk
assumptionPSSUnder
321
)( kkesesk
)(
1
32 essk
kke
)(ess
Ke M
)(1
.)(.
0es
K
iee
eqnaboveineiofvaluethesub
I
Competitive Inhibition
EI
II
Kproductno
)()(1
''''.
0
0
esess
K
K
ie
eineofvaluethesub
M
I
11)(
0 s
K
K
iese M
I
11
)( 0
s
K
K
i
ees
M
I
)(3esk
dt
dpv
sK
K
i
sek
M
I
1
03
sK
svv
M
m
*
M
I
M KK
iK
1*
Vm remains unchanged and KM is increased by a factor of
, thus decreases
the affinity of enzyme for substrate
IK
i1
COMPETITIVE INHIBITION………………….
*1/s
Vm remains unchanged and KM is increased by a factor of
IK
i1
• A special case of COMPETITIVE INHIBITION– Normally the competitive inhibitor bears
some structural similarity to the substrate and often is a reaction product Product inhibition
– In this case I = P– Therefore,
– e.g. Inhibition of lactase by galactose
sK
pK
svv
p
M
m
1
• Competitive inhibitiors -used as therapeutic agents in medicine or as insecticides & herbicides.
• Ethanol is Used Therapeutically as a Competitive Inhibitor to Treat Ethylene Glycol Poisoning.
• Ethylene glycol, a constituent of antifreeze
- itself is not lethally toxic - the harm is done by oxalic acid, the oxidation product of ethylene glycol.
• The kidneys - severely damaged by the deposition of oxalate crystals.
• The first committed step in this conversion is the oxidation of ethylene glycol to an aldehyde by alcohol dehydrogenase.
• This reaction can be effectively inhibited by administering a nearly intoxication dose of ethanol. The basis of this effect is the ethanol is a competing substrate and so it blocks the oxidation of ethylene glycol to aldehyde products.
• The ethylene glycol is then excreted harmlessly.
Competitive Inhibition
Competitive Inhibition
• Uncompetitive inhibitors bind to the ES complex only and have no affinity for the free enzyme itself…..
• i.e. the inhibitor can bind to the modified form of enzyme.
• This occurs when the inhibitor binds to a site which only becomes available after the substrate(s) has bound to the active site of the enzyme.
PEESSE k
k
k 3
1
2
)()(0
esiesee
)(
)(
esi
iesK
I
Un competitive Inhibition
IK
iesesee
eqnaboveinesiofvaluethesub
)()(
.)(.
0
I
M
K
i
s
Kes 1)(
)(
"")(
3eskv
vinesofvaluethesub
sK
iK
sek
I
M
1
03
sK
iK
sees
I
M
1
)( 0
sK
iK
sv
I
M
m
1
X
ESI
II
Kproductno
sK
svv
M
m
*
*
I
MM
I
mm
K
iKK
K
ivv
1*
1*
sK
iK
K
isv
K
ibysidesbothdevide
I
M
I
m
I
1
1
1
Vm and KM both are affected by a by a factor of
IK
i1
*
*
Vm and KM both are affected
1/s
A special case of UNCOMPETITIVE INHIBITION-----Substrate Inhibition
• This occurs at high substrate concentrations in about 20% of all know enzymes (e.g. invertase is inhibited by sucrose)
• It is primarily caused by more than one substrate molecule binding to an active site meant for just one.
• If the resultant complex is inactive, this type causes a reduction in the rate of reaction at high substrate concentrations.
Substrate Inhibition
productnoESS
S
PEESSE
sK
k
k
k
3
1
2
s
KK
svvX
knowwe
s
M
m
s
1
UNITYbecomesK
termthe
ionsconcentratsubstratelowat
s
s
1
.....
sK
svv
M
m
.. EqnMM
s
M
m
K
s
s
Ks
svv
ionsconcentratsubstratehighat
1
...
s
m
K
ss
sv
1
s
m
K
s
vv
1
‘v’ is inversely proportional to the
substrate concentration ‘s’
Substrate Inhibition
Optimum substrate concentration…
sK
sK
svv
knowwe
I
M
m
1
I
M
m
K
ssK
svv
2
22
2 21
''...
I
M
I
mm
I
M
K
ssK
K
ssvv
K
ssK
ds
dv
xtorweqnabovetheatedifferenti
0
ds
dv
I
opt
opt
I
opt
optM K
ss
K
ssK
22
2
0, ds
dvssfor
opt
I
opt
optmm
I
opt
optM K
ssvv
K
ssK
21
2
IMopt
I
opt
M
KKs
K
sK
2
2
IMoptKKs
• Noncompetitive inhibitors bind to the enzyme on sites other than the active site and reduce the enzyme affinity for the substrate.
• This inhibitor can combine with either the free enzyme or with the enzyme substrate complex to produce a dead-end complex
PEESSE k
MK
3
)(
)(;)(
'
esi
seiK
es
esK
MM
)(
)(;)(
'
esi
iesK
ei
eiK
II
'' &IIMM
KKKK
assumesimplicityfor
)()()(0
esieiesee
II
MM
K
i
sK
iK
s
Kes 1)(
II
MM K
ies
sK
iesKes
s
esK
)()()(
)(
IK(es)i
I
M K
eies
s
esKe )(
)(0
Noncompetitive Inhibition
ESI
IIK 'S
MK '
EI
II
K productno
)(
''
3esk
dt
dpv
vinsub
11
03
s
K
K
i
ekv
M
I
sKK
i
sek
M
I
1
03
sK
K
isv
M
I
m
1
sK
svv
M
m
*
I
mm K
ivv 1*
KM remains unchanged and Vm is changed
11)(
0 s
K
K
iese M
I
II
M
K
i
K
i
s
Kes 11)(
KM remains unchanged and Vm is changed
1/s
*
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