6. Enzyme Kinetics Flashcards
What is enzyme kinetics? (1)
The study of reaction rates when enzymes are involved
Explain one-way first order reactions (3)
- S -> P
- Formula V = change in [P] (moles/L) /change in t (sec)
- For a very short time segment the formula is d[P]/dt
Explain first-order reactions (4)
- Reaction depends on the concentration of the substance (S to P)
- Formula V = K1[S]
K1 = rate constant (s-1)
[S] = concentration (mol/Ls)
Explain the reverse first-order reaction (5) - Net rate, equilibrium, Keq
- If the reaction can go both ways, the rate of reaction depends on the difference between the forward and backward reaction
- Forward rate (S to P): K1[S]
Backward rate (P to S): K-1[P] - Net rate: V = k1[S] - k-1[P]
- At equilibrium: net rate V= 0 so K1 = K-1
- Keq = K1/K-1
Explain one-way second order reaction (3)
- A+B = C
- Rate: V = k1[A][B]
- Units: L/mols*s
Explain reversible second order reaction (4)
- A + B = C and C = A + B
- V = k1[A][B]-k-1[C]
- units: L/mol*s
- reverse units: s-1
Explain how enzyme concentration affects enzyme-catalyzed reactions (3)
- Usually E < S (constant at start of a reaction)
- Time = 0 is a one way reaction (S-> P) so initial rate V0 = k[E][S] = k’[E]
- If [S] is constant, the initial rate only depends on [E].
If [S] is the same in each assay, a graph of V0 vs [E] is a straight line
Explain how substrate concentration affects enzyme-catalyzed reactions (4)
- The curve is hyperbolic
- At low [S], most of the E is unbound.
- As [S] increases, more and more ES forms and V0 increases
- At high [S], all the E is present as ES so adding S cannot increase V0 - the E is saturated with S at Vmax
What is the Michaelis Constant
Km = (K-1 + K2)/K1
What is the Michaelis-Menten equation and what does it describe?
V = Vmax[S]/Km+[S]
- Describes the relationship between V0 and [S]
- Vmax and Km are characteristics of particular enzymes
- Vmax is the maximum rate of reaction at a particular [Etot]
What is [Etot]?
When the enzyme is saturated [ES] = [Etot]
Explain this graph (5)
- Km is the substrate concentration at which the reaction rate V0 is half of Vmax (Vmax/2)
- At very low substrate concentrations, the enzyme works slowly.
- At very high substrate concentrations, the enzyme works as fast as it can (reaches Vmax).
- At low [S], the reaction rate V0 increases quickly with [S]
- As [S] continues to increase, the rate levels off, approaching Vmax (enzyme saturation)
What is the equilibrium Enzyme-Substrate dissociation constant (Ks/Km) (3)
- It measures the affinity of S for E
- Large Ks/Km = weak binding
- Small Ks/Km = strong binding
What are the 2 ways to determine Km and Vmax
- Non-linear least-squares fitting of MM
- Reciprocal plot of MM
Explain the reciprocal plot of MM (4)
1/V0 = K/Vmax * 1/[S] + 1/Vmax
Slope = Km/Vmax
Y-int = 1/Vmax
X-int = -1/Km