Enzyme Kinetics and Inhibition Flashcards
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
Order sequential
Specific order for substrate binding and product leaving
“A has to go in first”
Random sequential
Random order for substrate binding and product leaving
“Either A or B can go into the reaction first”
Ping-Pong Mechanism (double replacement)
One substrate binds and release product before second substrate binds and release product
A goes in P comes out * enzyme intermediate* B goes in and Q comes out
Reversible inhibition
Bind the enzyme with noncovalent interactions
Dissociate rapidly
Allow the enzyme to recover its original activity