Enzymes 2 - kinetics Spencer Flashcards
chemical kinetics is the study of…
rates of chemical reactions
enzyme kinetics is the study of…
rates of enzyme catalyzed reactions
A -> P
what is the rate v
what is the order
what are the units of the rate constant
v = ∆P / dt = -∆A / dt = k[A]
1st order rxn
k = s^-1
what are the units of reaction rate, or velocity v
M/s
moles per second
A + B -> P
what is the rate v
what is the order
what are the units of the rate constant
v = ∆P/dt = -∆A/dt = -∆B/dt = k[A][B] 2nd order (1st in A, 1st in B) k = M^-1 s^-1
A = P what is the rate v what is the order what are the units of the rate constant equilibrium constant
v = ∆P / dt = -∆A / dt = k1[A] - k2[P]
1st order rxn
k = s^-1
Keq = k1/k2 = [P]/[A]
what is the equilibrium constant for a reversible reaction
Keq = [products]/[reactants]
= kforward/kreverse
for 1-substrate enzyme kinetics, what do the following graphs look like
[P] vs t
v0 vs [S]
- [P] vs t is hyperbolic, with slope (v0) initially linear, and greater [P] plateaus with greater [S]initial
- v0 vs [S] is hyperbolic
what is the general reaction equation for michelis-menten kinetics
k1 k3
E + S ES -> E + P
k2
what is the michelis constant
Km = (k2+k3)/k1
when [S] = Km, v0 = .5Vm
michelis menten equation
v0 = Vm [S] / Km + [S]
what are 5 assumptions of michelis-menten kinetics
- t = 0 (initial velocities only)
- k4 = 0 at t ~ 0 (no back reaction from P)
- negligible S depletion [S]»_space; [E]
- ES complex formed
- [ES] is at steady state
[S]»_space; Km, v0 =
v0 = Vm = k3[E]t
all active sites saturated
zero order… v0 independent of S
[S] = Km, v0 =
v0 = 1/2 Vm
50% active sites filled
[S] «_space;Km, v0 =
v0 = VmS / Km = k3EtS / Km
v0 is proportional to [S]
Vm =
k3[E]t
all active sites saturated
zero order… v0 independent of S
what are the units of a first order rate constant
s^-1
what are the units of a second order rate constant
M^-1 s^-1
michelis-menten Kd =
k2/k1 = [reactants]/[products] = [E][S]/[ES]
Km = Kd when…
k2»_space; k3
how can you increase Vm?
increase [E]t
Vm = k3Et
mechelis-menten kcat =
k3
catalytic ability of the enzyme