michaelis menten Flashcards

1
Q

Km

A

Km = [s] when v is 1/2 Vmax
steady state constant

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2
Q

small Km

A

max catalytic efficiency at low S

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3
Q

uncompetitive vs allosteric

A

allosteric based on a different kinetic model.
UI only binds to ES, AI could bind to E or ES

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4
Q

initial rate of reaction occurs when…

A

steady state is achieved.
why? This is following the pre steady state where enzyme is encountering substrate only sometimes…
- substrate concentration remains approximately constant, equal to the initial substrate concentration, while the enzyme-substrate complex concentration builds up.

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5
Q

What is the initial rate?

A
  • 10% of the rxn is used up and has achieved steady state
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6
Q

Chemical equation, following the assumptions of MM equation

A

E + S >1> ES >2> E + P

1 = k1, k-1
2 = kcat.

Can ignore k2 step, due to k1 and k3 being fast.

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7
Q

kcat

A

kcat is essentially equal to k2, because k3 happens so fast.
(ES to EP)
It is the apparent rate constant for the rate determining conversion (k2) of substrate to product.
But, because k2 is happening so slowly, we are saying that is is k3.

(time required by an enzyme molecule to “turn over” one substrate molecule)

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8
Q

Michaelis menten.
- 1) what is it
- 2) equilibrium state assumptions, what does it yield
- 3) Role of k2?

A
  1. E and S associate reversible to form an ES complex E+S <-k1,-1-> ES <-k2-> E+P
  2. Assume ES is in rapid equilibrium with free E (k1 time E+S = k-1 times ES… helps us determine Ks (ES dissociation constant)
  3. Breakdown of ES to form P is slower than ES formation, also slower than ES forming E+S.
    k2««k-1,k1
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9
Q

Vmax

A
  • maximum rate
  • occurs when all enzyme saturated
  • all E is in [ES]
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10
Q

rate determining step

A

k2 is the rate determining step, it is when [S] is high enough to convert all E to ES
(kcat) is the apparent rate constant for ES to EP.

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11
Q

Why is overall rate unafected when more S is added at saturation?

A

there is no enzyme to bind to the S, all enzyme is already bound at saturation

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12
Q

rate of product formation

A

v = kcat[ES]
(ES <–> E + P)

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13
Q

why cant you measure E or ES but can measure Etotal?

A

We know how much enzyme is in the reaction, but we dont know how much of that enzyme is actually in ES complex or free E

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14
Q

Ks

A

dissociation constant,

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15
Q

when kcat &laquo_space;k-1

A

Ks = k-1/k1 = [E] [S] / [ES]
( E and S are in equilibrium with ES)
these are not truly in equilibrium, does not apply to everything, because some ES is always being converted to P, very slowly

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16
Q

Briggs haldane model

A

the more ES that is present, the faster ES will dissociate either to prod (kcat) or reactant (k-1).

Therefore, when first mixing E and S, [ES] builds fast but then reaches a steady state. This state persists until all substrate is used up

17
Q

steady state

A

formation and breakdown of ES are =
k1 [E] [S] = k-1 [ES] + kcat [ES]

formation of ES complex = diss. of ES + breakdown to E+P

18
Q

burst phase

A
  • presteady state
  • rapid formation of ES complexes why??
19
Q

Km equation

A

Km = (k-1 + kcat) / k1
substrate concentration when the velocity is 1/2 Vmax.
NOT a measure of affinity

20
Q

Michaelis menten equation

A

v = Vmax[S] / Km + [S]

21
Q

Km three definitions

A

complex rate constant
concentration of S when v is 1/2 Vmax
steady state constant

22
Q

Km varies with

A

enzyme, substrate, temp, pH

23
Q

enzyme efficiency

A

kcat /Km
large kcat (rapid turnover) or small Km (1/2 Vmax at low [S]) will make enzyme efficiency large

24
Q

kcat equation

A

Vmax / [E] total

25
Q

Vmax equation

A

Vmax = kcat [E]total

26
Q

diffusion controlled limit

A

(kcat/Km) corresponds to the second order rate constant for enzyme substrate combination under low [S] conditions.

this rate constant has a MAXIMUM value, which is determined by frequency of collision between E and S

this maximum value of collision (10^8, 10^9… GOVERNOR) is diffusion limited

27
Q

Catalytic perfection

A

when an enzyme has the maximum possible efficiency… P formed as soon as E collides with S.
E efficiency in range of 10^8 and 10^9.