kinetics Flashcards
3 kinetic trends possible
linear
hyperbolic
sigmoidal
first order kinetics:
equation
graph
v = k[S]1 = k[S]
ln [S] / time
down right slope
second order kinetics:
equation
graph
equation: k[S]2 or k[SA] [SB]
graph: 1/[S] / time ; up-right slope
zero order kinetics:
equation:
graph:
equation: v = k[S]0 = 0
graph: [S] / time ; down-right slope
zero order kinetics:
substrate-independent interpretations
unimolecular reaction (not making/breaking bonds - something internal is changing) ; or don’t need an enzyme (uncatalyzed reaction)
enzyme is saturated
rate constant of substrate to products
k1
rate constant of products –> substrates
k-1
reversible reaction rate equation
v = k1[S]n - k-1[P]m
equilibrium reaction rate equation
k1[S] = k-1 [P]
KA
[P] / [S] or k1 / k-1
association constant (makes P)
KD
[S] / [P] = k-1 / k1 = 1 / KA
dissocation constant
michaelis-menton enzymes follow what order kinetics
first
michaelis-menton kinetics model
E + S <– k-1 k1 –> E * S – k2 –> E + P
Km
michaelis constant
[S] where reaction rate is half maximal OR half of the active sites are full
vmax
maximum velocity
maximum rate possible for a given [enzyme]
kcat
turnover number
number of substrate molecules converted per active site per time (first order rate constant)
Ks
a dissociation constant for substrate binding
kcat / Km
specificity constant
measure of enzyme performance by predicting the fate of E * S
(predicting if the E*S complex fall apart to substrate or fall apart to products)
first assumption of michaelis-menton equation
problems with first assumption
assume that binding of the substrate is at equilibirum
Problem: cannot measure [E] (free enzyme) but we know how much enzyme we added
second assumption of michaelis-menten equations
problems associated with second assumption
- when [S] >> [E] , delta S ~ 0
- formation of the E *S complex occurs at the same rate as its loss
- problem: cannot measure [E *S]
Michaelis-Menten Equation
v0 = vmax [S] / Km + [S]
vmax is reached when the enzyme is
fully saturated
laboratory conditions to remember
- [S] << Km
- [S] = Km
- [S] >> Km
- v0 = (vmax / Km ) [S}
- v0 = vmax / 2
- V0 = vmax
- a good enzyme would have kcat _____ k-1 and kcat / km ~ _____
- a poor enzyme would have kcat _____ k-1 and kcat / km ~ _____
- greater than and k1
- less than and 1 / km