Lecture 12 - Enzyme rate (Inhibition & Activation) Flashcards
The Michaelis-Menten equation
describes The V vs. [S] curve
V = Vmax [S] / Km + [S]
based on model reaction
model reaction
E + S ⟷ ES ⟶ E + P
⟷
- K1
- K-1
⟶
- K2
Vmax
how fast it can go if all enzyme is in ES complex
The more ES complex
faster it will go
Lineweaver - Burk Plot
X intercept
Y intercept
Double reciprocal
1 / S concentration vs 1 / V (kinetic rate)
Linear
-1 / Km
1 / Vmax
Significance of KM
substrate concentration needed to reach half Vmax
units mmol/ L
Characterises one enzyme-substrate pair (if an enzyme can act on different substrates, it will have different KM values for each).
For many enzymes k 2 «_space;k -1 , so approximation neglects k 2 :
Km = K-1 / K1
the ES dissociation constant
Low KM
high affinity between E and S;
high KM
low affinity between E and S;
Physiological significance of KM
in enzyme-substrate interaction,
[S] is below the KM.
rate will rise to accommodate more substrate, tending to maintain steady state.
KM: substrate preference and response
KM for each isozyme and substrate is same or different?
different
Isozyme glucokinase
stores energy as glycogen in the liver.
Turnover number, kcat
number of substrate molecules converted to product, per enzyme, per unit of time, when E is saturated with substrate.
define the activity of one enzyme molecule – a measure of catalytic activity.
If the Michaelis-Menten model fits , kcat = k2
kcat describes
the ‘rate limiting’ step.
Vmax = kcat [E]T
most effective enzymes should have…
A high kcat
A low KM
kcat / KM measure
enzyme efficiency;
the higher the better.
A high kcat
(ability to turnover a lot of substrate into product, per second).
A low KM
(low substrate concentration required to achieve near Vmax; high affinity for the substrate under the Michaelis-Menten assumptions).
kcat, KM and “catalytic perfection”
The upper limit for kcat / KM is the
diffusion-controlled limit; i.e. the rate at which enzyme and substrate diffuse together.
Viscosity of water sets an absolute upper limit at
~10^9 s-1 M-1.
Enzymes with kcat / KM above 10^8 s-1 M-1 are referred
to as
‘perfect’ catalysts.