kt =
1
B
½ 0 − A
½ 0
ln
B
½ A
½ 0
B
½ 0 A
½
3. Apply the steady-state approximation to the
mechanism below and obtain an expression for
k obs .
A + B + C⇌
k 1
k −1
I⇌
k 2
k −2
P
4. The reversible binding data of the drug labetalol
to a nanofilm of the protein bovine serum
albumin (BSA) is shown in the table below. The
first two columns show the mass bound on the
BSA surface as a function of time, and the last
two columns show the loss of the drug from
the BSA surface upon rinsing.
Binding of Drug to
BSA (Adsorption)
Loss of Drug from
BSA (Desorption)
Time
(s)
Mass of
Drug on
Surface
(ng)
Time
(s)
Mass of
Drug on
Surface
(ng)
0
0
0
253.11
5
5.31
5
249.57
15
8.85
10
242.49
20
15.93
15
242.49
25
26.55
20
233.64
30
47.79
25
208.86
35
77.88
30
182.31
40
107.97
35
145.14
45
143.37
40
109.74
50
177.00
45
79.65
55
205.32
50
51.33
60
224.79
55
33.63
65
238.95
60
26.55
70
244.26
65
24.78
75
246.03
70
21.24
80
249.57
75
17.70
85
253.11
80
15.93
Estimate the binding constant of the drug to BSA.
5. Ethidium bromide is a common fluorescent
stain used for detecting and visualizing DNA for
microscopy and electrophoresis-based assays.
The total dye concentration [L] 0 and fraction of
dye bound is tabulated below as a function of
total DNA base pair concentration [M] 0 .
Dye
Concentration
[L] 0 (M)
Base Pair
Concentration
[M] 0 (M)
f
(Fraction
of Dye
Bound)
1.01 × 10
–4
0.00 × 10
0
0.00
1.01 × 10
–4
1.80 × 10
–5
0.07
9.98 × 10
–5
3.55 × 10
–5
0.14
9.91 × 10
–5
5.27 × 10
–5
0.20
9.83 × 10
–5
6.94 × 10
–5
0.26
9.75 × 10
–5
8.58 × 10
–5
0.31
9.68 × 10
–5
1.02 × 10
–4
0.38
9.61 × 10
–5
1.17 × 10
–4
0.42
9.53 × 10
–5
1.33 × 10
–4
0.47
9.46 × 10
–5
1.48 × 10
–4
0.51
9.39 × 10
–5
1.62 × 10
–4
0.54
9.32 × 10
–5
1.77 × 10
–4
0.58
9.26 × 10
–5
1.91 × 10
–4
0.61
9.12 × 10
–5
2.18 × 10
–4
0.65
9.06 × 10
–5
2.31 × 10
–4
0.68
8.99 × 10
–5
2.44 × 10
–4
0.70
Using the identical-site binding model, K A ¼
½ML
½L½M
,
where [L] is the concentration of the free dye
and [M ] is the concentration of binding sites
on the DNA, perform a Scatchard analysis to
determine the affinity constant K A and number
of binding sites per DNA base pair, n.
6. Calculate the diffusion coefficient of 1-, 10-,
100-, and 1000-nm nanoparticles in water at
20
o
C. What is the displacement of these
END OF CHAPTER QUESTIONS
93
1
B
½ 0 − A
½ 0
ln
B
½ A
½ 0
B
½ 0 A
½
3. Apply the steady-state approximation to the
mechanism below and obtain an expression for
k obs .
A + B + C⇌
k 1
k −1
I⇌
k 2
k −2
P
4. The reversible binding data of the drug labetalol
to a nanofilm of the protein bovine serum
albumin (BSA) is shown in the table below. The
first two columns show the mass bound on the
BSA surface as a function of time, and the last
two columns show the loss of the drug from
the BSA surface upon rinsing.
Binding of Drug to
BSA (Adsorption)
Loss of Drug from
BSA (Desorption)
Time
(s)
Mass of
Drug on
Surface
(ng)
Time
(s)
Mass of
Drug on
Surface
(ng)
0
0
0
253.11
5
5.31
5
249.57
15
8.85
10
242.49
20
15.93
15
242.49
25
26.55
20
233.64
30
47.79
25
208.86
35
77.88
30
182.31
40
107.97
35
145.14
45
143.37
40
109.74
50
177.00
45
79.65
55
205.32
50
51.33
60
224.79
55
33.63
65
238.95
60
26.55
70
244.26
65
24.78
75
246.03
70
21.24
80
249.57
75
17.70
85
253.11
80
15.93
Estimate the binding constant of the drug to BSA.
5. Ethidium bromide is a common fluorescent
stain used for detecting and visualizing DNA for
microscopy and electrophoresis-based assays.
The total dye concentration [L] 0 and fraction of
dye bound is tabulated below as a function of
total DNA base pair concentration [M] 0 .
Dye
Concentration
[L] 0 (M)
Base Pair
Concentration
[M] 0 (M)
f
(Fraction
of Dye
Bound)
1.01 × 10
–4
0.00 × 10
0
0.00
1.01 × 10
–4
1.80 × 10
–5
0.07
9.98 × 10
–5
3.55 × 10
–5
0.14
9.91 × 10
–5
5.27 × 10
–5
0.20
9.83 × 10
–5
6.94 × 10
–5
0.26
9.75 × 10
–5
8.58 × 10
–5
0.31
9.68 × 10
–5
1.02 × 10
–4
0.38
9.61 × 10
–5
1.17 × 10
–4
0.42
9.53 × 10
–5
1.33 × 10
–4
0.47
9.46 × 10
–5
1.48 × 10
–4
0.51
9.39 × 10
–5
1.62 × 10
–4
0.54
9.32 × 10
–5
1.77 × 10
–4
0.58
9.26 × 10
–5
1.91 × 10
–4
0.61
9.12 × 10
–5
2.18 × 10
–4
0.65
9.06 × 10
–5
2.31 × 10
–4
0.68
8.99 × 10
–5
2.44 × 10
–4
0.70
Using the identical-site binding model, K A ¼
½ML
½L½M
,
where [L] is the concentration of the free dye
and [M ] is the concentration of binding sites
on the DNA, perform a Scatchard analysis to
determine the affinity constant K A and number
of binding sites per DNA base pair, n.
6. Calculate the diffusion coefficient of 1-, 10-,
100-, and 1000-nm nanoparticles in water at
20
o
C. What is the displacement of these
END OF CHAPTER QUESTIONS
93