Biochemistry I Fall Term, 2001

Ligand Binding: Answer Sheet Example

Example Problem:

You are given a 4.0 mg/ml solution of a protein (Mr = 40,000 Da).
You do an equilibrium dialysis experiment at several concentrations of Ltotal.
a) Determine Kd and the stoichiometry of its binding to a ligand, L.
b) Submit your calculations and a graph of n/L. vs. n.
What we know from the problem:
1) Concentration of the protein = 4.0 mg/ml.
2) Protein Mr = 40,000 Da
What we found in the experiment:
Ltotal
(mM)
Lfree
(mM)
Lbound
(mM)
n
 
n/L
(mM-1)
 0.010
 0.020
 0.050
 0.075
 0.100
 0.150
 0.200
 0.400
 0.700
 1.000
0.005
0.011
0.029
0.045
0.061
0.103
0.142
0.333
0.625
0.901
0.005
0.009
0.021
0.030
0.039
0.047
0.058
0.067
0.075
0.099
0.05
0.09
0.21
0.30
0.39
0.47
0.58
0.67
0.75
0.99
10.00
 8.18
 7.24
 6.67
 6.39
 4.56
 4.08
 2.01
 1.20
 1.10
The protein concentration = (4 g/l)/(40,000 g/mol) = 0.10mM.
The last three columns were calculated using equations from the Ligand Binding page. 
 
Graph of the calculated results:

The Kd = 0.10 mM.
The stoichiometry, n = 0.95-1.0

The above Scatchard plot was used as an example in the Lecture 12 handout, Ligand Binding Curves

Binding.xls is the Excel spreadsheet used to calculate and graph these results; it can be copied to your disk.

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8.20.01