| Graphical and Mathematical Summary of Michaelis-Menten and Allosteric Enzyme Kinetics |
|
|
Graphical
Formats: |
Michaelis-Menten
Rectangular
Hyperbolic Plot |
Lineweaver-Burke Double-Reciprocal
Plot |
Eisenthal-Cornish-Bowden Direct
Linear Plot |
| Y vs. X Empirical Variables |
V0
vs. [S]0 |
1/V0
vs. 1/[S]0 |
V0 vs. -[S]0
Vmax
& KM
are pseudo-variables. |
Functional Relationships
Y = f(X) |
| V0 |
= |
Vmax*[S]0h |
|
| [S]0h+KMh |
|
1/V0
= (KMh/(Vmax)*(1/[S]0h)
+ 1/Vmax |
Vmax=
(V0/[S]0h)*KMh
+ V0 |
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|
Graphical
Formats: |
Hill
Plot |
Scatchard
Plot |
| Y vs. X Empirical Variables |
log (V0/Vmax-V0) vs.
log [S]0 |
r/[S]0
vs. r
where r =
n*(V0/Vmax) |
Functional Relationships
Y = f(X) |
log
(V0/(Vmax-V0)) = log
([S]0/KM)h =
h*log ([S]0/KM) |
r/[S]0
=
([S]0h-1/KMh)*(n-r) |
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|
Constants and Definitions |
KM
= [S]50%
@ V0
= Vmax/2 |
h =
Hill
coefficient,
h = 1 for Michaelis-Menten Kinetics |
n =
# of identical catalytic sites per E molecule.
r = average # of S molecules converted
to P molecules per enzyme molecule per unit time. |