Enzyme Kinetics and Inhibition Flashcards
(70 cards)
Irreversible Reactions
A –> P
Rate of P formation equals rate of A disappearance
Rate of P formation is directly proportional to the concentration of reactant
V= dp/dt= k[A]
V= -dA/dt= k[A]
Characteristics of 1st order reactions
Exponent is 1
Units: s^-1
Bimolecular irreversible reaction
A + B –> P
Rate of P formation equals rate of disappearance of A OR B
Rate of P formation (or A/B disappearance) is directly proportional to concentration of reactants
V= dp/dt = k [A] [B]
Unimolecular reversible reaction
A P
V= dp/dt = k1[A] - k2[P]
^rate of P formation and rate of A disappearance
Rate gained = rate loss AT EQUILIBRIUM
Equilibrium constant: Keq
K1/k2 = [P]/ [A]
Steady state Assumption for Michaelis Menten
[ES] assumed to be unchanging
Michaelis Constant=
Km= (k2 +k3)/k1 > [E] and ES formation has negligible effect on S… [S]= constant = [S]t
Formula for [ES] under steady state
[ES]= [E][S]/ Km = ([E]t [S])/ (Km + [S])
Maximal Velocity
When E is saturate with S
[ES] = [E]t
Vo= k3 [ES] = k3 [E]t = Vm
Michaelis Menten equation
V = Vm [S]/ (Km + [S])
~ hyperbolic curve ~
of active sites are filled
[ES]/ [E]t = v/Vm = [S]/ (Km + [S])
Michaelis Menten Assumptions
- Formation of ES complex between enzyme and substrate
- no back reaction from product buildup (k4=0)
- initial velocities used for analysis (t=0)
- steady state for [ES]
- negligible depletion of substrate [S]»_space; [E]
Michaelis constant
Km= (k2 + k3)/ k1
Larger Km
Has a smaller v at the same [S]
Graph levels off at the same Vm but reaches it slower
Weak binding of the [ES] –> low affinity
Vm=k3[E]t
Maximum rate when [ES] = [E]t
Proportional to k3
Turnover number= k3=kcat
- Catalytic ability
- Typical values: 1-10^4 s^-1
- Number of S molecules converted to P by one E molecule in unit time under saturation conditions
- larger kcat –> larger v –> faster reaction
Catalytic Efficiency- what happens when [S]
Typical physiological conditions
Plot of v versus [S] is learn with an apparent second order rate constant: k3/Km = kcat/Km –> proportional to that initial slope Vm/Km
What is catalytic efficiency?
Kcat/Km –> how well an enzyme reacts with dilute amounts of substrate
Kcat/Km
Combines attributes of kcat and Km (characteristics of E-S interaction)
Perfect enzymes
Have the highest kcat/Km values
Limited only by the rate of diffusion of substrate to enzyme
10^8 - 10^9
Slowest step of the enzyme reaction
Diffusion of substrate to enzyme
However overall reaction is fast
Ideal substrate range
1/3 [KM] 2 [KM]
Line-weaver Burke
Take double reciprocal of the MM equation
1/v = Km/Vm (1/[S] + 1/Vm
Slope= Km/Vm = Km/(kcat [E]t)
Y-intercept= 1/Vm
X-intercept= -1/Km
Low slope has a better catalytic efficiency
Dis-advantages to the Lineweaver Burk Plot
Distorts errors at low [S]
Compresses data at high [S]
Sequential Mechanism
Substrate bind to form a ternary complex with the enzyme before product is release