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Enzyme Kinetics
.
Enzyme activity
Enzyme activity:It is defined as the amount of enzyme thatwill convert a certain amount of S to P in a specified period
of time under conditions of constant temperature and pH.
The international enzyme commission (IEC) have adapted astandard unit of enzyme activity called The InternationalUnit (IU).
The International Unit (IU) is defined as the amount ofenzyme that can convert one mole of substrate intoproduct per minute at 25C.(1 mole = 1 x 10-6moles)
Katal : is defined as the number of moles of substratetransformed into product per second at 25C.
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.
Specific activity: It is defined as the number of
enzyme units per milligram of protein
(mole/min/mg of protein)(mole.min-1.mg
of protein-1)This is valuable during enzyme
purification.As enzyme become pure, specific
activity increases.
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Turnover number: It is the number of moles of substratetransformed per minute per mole of enzyme (Units permole of active site or catalytic center under optimumconditions).
This tells how many S molecules are converted to productby each enzyme molecule.
It tells us how fast an enzyme work or turnover S into P.e.g. for catalase:turnover number is 5 x 106for -amylaseit is 1.9 x 104This indicates that catalase is ~ 250times more active than amylase
Turnover number
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Enzyme Kinetics
-The study of reaction rates and how they
change in response to changes in
experimental parameters in known as Kinetics.
-Kinetics is that branch of enzymology that deals
with the factors that affect the rate of enzyme
catalysed reactions.
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Factors affecting Enzyme Reaction
Velocity
(i)Enzyme concentration.
(ii)Substrate concentration.
(iii)Temperature
(iv)pH.(v)Activators.
(vi)Inhibitors
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Effect of Enzyme concentration on rate of Enzymic
reaction
The rate of E catalysedreaction is proportionalto the Enzyme concentration(provided S issaturating E)
v [E]; v = k [E]
As E increases rate of reaction increases in alinear manner.
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Effect of Enzyme concentration on rate of Enzymicreaction
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Effect of Enzyme concentration on rate of Enzymic
reaction
some deviations occur:
(a) upward curve
(b) downward curver [E]
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Upward curvev against [E] curve:
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Reasons for upward curve
1.Presence of highly toxic impurity in the reaction inthe reaction mixture (not in E solution).So when Eis in small amount it is inhibited, but as itsconcentration is increased, it overcomes the toxicimpurity and rate increases.[E]v
2.Presence of a dissociable activator or coenzyme inthe enzyme preparation.
(e.g. some proteases)
3.Some E become active as they aggregate at highconcentration.
(e.g. 6-phosphofructokinase)
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Downward Curve
This is more common.
As E concentration is increased beyond a
certain point, the rate decreases.
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Downward curve for v against[E]
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Reasons for downward curve
1.limitation in the capacity of the method of estimation.This is not a true decrease, but occurs as the assaymethod cannot give higher reading. (e.g. inspectrophotometer the maximum O.D. is 2.0).
2.The coenzyme may be limited and as the E remains asApoE and loses activity.
3.Substrate may be used up.
4.Presence of a reversible inhibitor in the enzymepreparation.
As E concentration increases, I increases and inhibits E.
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Effect of Substrate Concentration on the rate of E
catalysed reaction
S most important factor in determining velocity of E reaaction
At Low S concentration rate of reaction is low and r[S]. A straight lineis obtained. As S concentration is increased a mixed order reaction isobtained and the curve reaction is obtained.
As S is increased further the rate does not change and becomesconstant. This is because E active sites are all filled and E is saturatedwith S. At this point the velocity is equal to Maximum Velocity(Vmax).
The S concentration at half Vmax (Vmax/2) is called MichaelisConstant(Km). This is a constant for an E and a specific substrate. Itgives the affinity between E and S.
High Km indicates low affinityLow Km indicates high affinity.
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Effect of Substrate Concentration on the rate of E
catalysed reaction
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V against [S] curve
The E which give hyperbolic curve with S obey Miichaelis-Menten kinetics.
However, some E do not obey Michaelis-Menten kineticsand do not give a hyperbolic curve, but give a Sigmoidcurve. These are allosteric enzymes. These areregulatory enzymes and have a quarternary structure.
Sigmoid curve indicates cooperative effect
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Allosteric Enzymes
Allosteric Enzymes have multiple binding sites:
Active sites: binds S and converts to P.
Modulatory site:binds S and other modulatory
molecules and this binding affects the activity
of active site. Modulators may be:+veModulators activity
-veModulators activity.
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Effect of Temperature on E catalysed reactions:
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Effect of Temperature on E catalysed
reactions:At very low temperature e.g. OC the rate of reaction may be almostzero.
As temperature is increased rate of reaction increases.
This occurs as the kinetic energy of the molecules increases.
For every 10C rise of temperature the rate is doubled. This is Q10 orTemperature Coefficient.
But this occurs only upto a specific temperature which is known asOptimum temperature.
Beyond this temperature, the rate decreases sharply. This occurs asthe enzyme is denatured and the catalytic activity is lost.
For most E, optimal temperature are at or slightly above those of thecell in which the E occurs. Some E in bacteria which survive in hotsprings have high optimal temperature
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Effect of pH on E catalysed reaction.
When E actvity is measured at several pH values,
optimal activity is generally observed between
pH values of 5-9. However, some E such as
pepsin have low pH optimum ( 2.0) which
others have high pH optimum (e.g. Alkaline
Phosphatase(pH ~ 9.5).
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pH activity curve
The shape of pH activity curve is determined by the following:
(i)E is denaturedat high or low pH.
(ii)Alteration in the charge state of the E or S or both.
For E pH can affect activity by changing the structure or by changingthe charge on a.a. which are functional in S binding or catalysis
e.g. Enz-+ SH+Enz.SH
loses its negative charge,andprotonatedis:EnzymepHLowAt#
Enz-+ SH+ Enz-SH
positive chargesubstrate loses its proton andThe:high pHAt#SH+S-+ H+
So Enz-+ S-No reaction
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Effect of pH on enzyme catalysedreactions
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(v) Effect of Inhibitors on rate of E
catalysed reaction:
Inhibitors are substances that combine with E
and decrease its activity.
Presence of I decreases the rate of E catalysed
reaction.
Inhibitors may be:
i. Irreversible inhibitorii. Reversible inhibitors
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Irreversible inhibitor
E + IEI
-This inhibitor cannot be removed by dialysis or
other means:
-Inhibition increases with time.
Examples of irreversible inhibitors
CN inhibits xanthine oxidase.
Nerve gas inhibits cholinesterase.Iodoacetamide, heavy metal ions
(Hg++),oxidising agents.25 Dr.Saba Abdi
Reversible inhibitor
E + IEI
-The reaction is reversible and the I can be
removed by dialysis or other means.
Reversible inhibitors are of three types:
1. Competitive
2.Noncompetitive
3.Uncompetitive
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Reversible inhibitor
Examples of reversible inhibitors:
Inhibition of succinate dehydrogenase by
malonate.
Inhibition of methanol dehydrogenase by
ethanol.
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(v)Effect of Activators on rate of E
catalysed reactions.
Some E require activators to increase the rate of reaction.
Activators cause activation of E-catalysed
reaction by either altering the velocity of the reaction or the
equilibrium reached or both.
e.g.:
: Essential for the reaction to proceed. TheseactivatorsEssential
are recognised as substrate that is not changed in the reaction
e.g. metal ion such as Mg++for kinases.
: Activator may act to promote a reactionessential activatorsNon
which is capable of proceeding at a appreciable rate in the
absence of activator.
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