Filling in the blanks.
Data after 250 mg I.V. Dose
|
Time (hr) |
Concentration (mg/L) |
|
AUC |
Time (hr) |
Cp*t |
|
AUMC |
|
0 |
13.51 |
0.00 |
0.00 |
0 |
0.00 |
0.00 |
0.00 |
|
0.5 |
11.75 |
6.32 |
6.32 |
0.5 |
5.87 |
1.47 |
1.47 |
|
1 |
10.21 |
5.49 |
11.81 |
1 |
10.21 |
4.02 |
5.49 |
|
2 |
7.72 |
8.97 |
20.77 |
2 |
15.44 |
12.83 |
18.32 |
|
4 |
4.41 |
12.13 |
32.90 |
4 |
17.64 |
33.07 |
51.39 |
|
6 |
2.52 |
6.93 |
39.88 |
6 |
15.11 |
32.75 |
84.14 |
|
9 |
1.09 |
5.41 |
45.24 |
9 |
9.79 |
37.35 |
121.48 |
|
|
0.00 |
3.88 |
49.12 |
|
0.00 |
48.82 |
170.30 |
Data After 400 mg Oral Dose
|
Time (hr) |
Conc (mg/L) |
|
AUC |
Time (hr) |
Cp*t |
|
AUMC |
|
0 |
0.00 |
0.00 |
0.00 |
0 |
0.00 |
0.00 |
0.00 |
|
0.5 |
10.84 |
2.71 |
2.71 |
0.5 |
5.42 |
1.36 |
1.36 |
|
1 |
13.72 |
6.14 |
8.85 |
1 |
13.72 |
4.79 |
6.14 |
|
2 |
12.53 |
13.13 |
21.98 |
2 |
25.06 |
19.39 |
25.53 |
|
4 |
7.47 |
20.00 |
41.98 |
4 |
29.87 |
54.93 |
80.47 |
|
6 |
4.27 |
11.74 |
53.72 |
6 |
25.64 |
55.51 |
135.98 |
|
9 |
1.84 |
9.18 |
62.90 |
9 |
16.60 |
63.37 |
199.34 |
|
|
0.00 |
6.59 |
69.49 |
|
0.00 |
82.83 |
282.18 |
Parameter Values
|
MRT(IV) |
3.47 |
hr |
|
MRT(PO) |
4.06 |
hr |
|
MAT |
0.59 |
hr |
|
F |
0.88 |
|
Results Cptn
where t = time since last dose and n = the number of doses
|
Cp01 |
5.41 |
mg/L |
|
Cp141 |
1.01 |
mg/L |
|
Cp02 |
4.05 |
mg/L |
|
Cp62 |
1.97 |
mg/L |
|
Cp23 |
1.92 |
mg/L |
|
|
|
|
|
Cptotal at 14 hours |
4.9 |
mg/L |
Equation for Bolus Dose: Cp = (Dose/V) * e-kel*t
Equation for Infusion Dose: Cp = (k0/kel*V)*(1 - e-kel*t)
Results
Solving simultaneous equations
|
Vm |
550 |
mg/day |
|
Km |
6 |
mg/L |
|
Dose |
393 |
mg/day |
|
Dose' |
400 |
mg/day |
|
Cp' |
16.0 |
mg/L |
Equation: DR = (Vm * Cp)/(Km + Cp)
First, Plot Cp versus Time (on semi-log plot)
Using Data from the Table below, plot Residual versus Time (as semi-log plot)
|
Time (hr) |
Concentration (mg/L) |
Cplate |
Residual |
|
0 |
|
|
|
|
0.25 |
15.0 |
7.70 |
7.30 |
|
0.5 |
12.5 |
7.32 |
5.18 |
|
0.75 |
10.5 |
6.96 |
3.54 |
|
1 |
9.0 |
6.61 |
2.39 |
|
2 |
5.9 |
5.40 |
0.50 |
|
3 |
4.5 |
|
|
|
4 |
3.6 |
|
|
|
6 |
2.4 |
|
|
|
9 |
1.3 |
|
|
|
12 |
0.7 |
|
|
Results
|
Parameter |
Value |
Units |
|
A |
10.9 |
mg/L |
|
B |
8.1 |
mg/L |
|
|
1.52 |
hr-1 |
|
|
0.203 |
hr-1 |
|
k21 |
0.764 |
hr-1 |
|
k12 |
0.555 |
hr-1 |
|
kel |
0.404 |
hr-1 |
|
V1 |
15.8 |
L |
|
Varea |
31.4 |
L |
Results
I.V. Bolus and I.V. Infusion Doses to provide 20 mg/L
|
V |
19.5 |
L |
|
kel |
0.122 |
hr-1 |
|
I.V. Bolus Dose |
390 |
mg |
|
I.V. Infusion Rate |
47.6 |
mg/hr |
Equation for I.V. Bolus: Dose = Cp * V
Equation for I.V. Infusion: k0 = Cp * V * kel
AUC
