Curren'S Math For Meds: Dosages & Sol
Curren'S Math For Meds: Dosages & Sol
11th Edition
ISBN: 9781305143531
Author: CURREN
Publisher: Cengage
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Kinetics: One-Compartment First-Order Absorption

1. In vivo testing provides valuable insight into a drug’s kinetics. Assessing drug kinetics following multiple routes of administration provides greater insight than a single route of administration alone. The following data was collected in 250-g rats following bolus IV, oral (PO), and intraperitoneal (ip) administration. 

Using this data and set of graphs, determine:(calculate for each variable)

(a) k, C0, V, and AUC* for the bolus iv data 

(b) k, ka, B1, and AUC* for the po data 

c) k, ka, B1, and AUC* for the ip data 

(d) relative bioavailability for po vs ip, Fpo/Fip 

(e)absolute ip bioavailability, Fip 

(f) absolute po bioavailability, Fpo  

In(C)
5.00
4.00
3.00
2.00
1.00
0.00
-1.00
-2.00
In(R)
In(C)
Oral (po) Terminal Line Regression
5.00
4.00
3.00
y=-0.468x+3.395
R2 0.9999
D
2.00
1.00
0.00
-1.00
-2.00
0
2
3
4
5
6
t (hr)
Oral (po) Residual Line Regression
y -2.1135x+3.4547
R²=0.9912
3
S
t (hr)
Intraperitoneal (ip) Terminal Line Regression
y -0.5171x+4.038
R2=0.9999-
5.00
4.00
3.00
D
°
2.00
1.00
0.00
-1.00
-2.00
0
2
3
t (hr)
5.00
4.00
3.00
2.00
1.00
0.00
-1.00
In(R)
-2.00
Intraperitoneal (ip) Residual Line Regression
y=-1.7873x+4.0604
R2 0.9983
0
2
3
t (hr)
expand button
Transcribed Image Text:In(C) 5.00 4.00 3.00 2.00 1.00 0.00 -1.00 -2.00 In(R) In(C) Oral (po) Terminal Line Regression 5.00 4.00 3.00 y=-0.468x+3.395 R2 0.9999 D 2.00 1.00 0.00 -1.00 -2.00 0 2 3 4 5 6 t (hr) Oral (po) Residual Line Regression y -2.1135x+3.4547 R²=0.9912 3 S t (hr) Intraperitoneal (ip) Terminal Line Regression y -0.5171x+4.038 R2=0.9999- 5.00 4.00 3.00 D ° 2.00 1.00 0.00 -1.00 -2.00 0 2 3 t (hr) 5.00 4.00 3.00 2.00 1.00 0.00 -1.00 In(R) -2.00 Intraperitoneal (ip) Residual Line Regression y=-1.7873x+4.0604 R2 0.9983 0 2 3 t (hr)
1. In vivo testing provides valuable insight into a drug's kinetics. Assessing drug kinetics
following multiple different routes of administration provides greater insight than just a single
route of administration alone. The following data was collected in 250 g rats following bolus
iv, oral (po), and intraperitoneal (ip) administration.
10 mg/kg bolus iv
500 mg/kg po or ip
Time (hr) Civ (mg/L)
Time (hr)
Cpo (mg/L)
Cip (mg/L)
0.083
2.679
0.00
0.00
0.00
0.50
1.988
0.25
7.87
12.73
1.0
1.359
0.50
11.19
18.98
2.0
0.730
1.0
15.07
24.32
3.0
0.401
2.0
11.64
20.02
3.0
7.32
12.02
4.0
4.63
7.27
6.0
1.79
2.53
From this data, the following graphs were created and linear regression lines determined. You
should practice making these graphs, but are not required to make them.
In(C)
Bolus IV Terminal Line Regression
5.00
4.00
3.00
2.00
1.00
y -0.6489x+1.0045
R²=0.9979
0.00
-1.00
-2.00
0
1
2
3
5
6
t (hr)
expand button
Transcribed Image Text:1. In vivo testing provides valuable insight into a drug's kinetics. Assessing drug kinetics following multiple different routes of administration provides greater insight than just a single route of administration alone. The following data was collected in 250 g rats following bolus iv, oral (po), and intraperitoneal (ip) administration. 10 mg/kg bolus iv 500 mg/kg po or ip Time (hr) Civ (mg/L) Time (hr) Cpo (mg/L) Cip (mg/L) 0.083 2.679 0.00 0.00 0.00 0.50 1.988 0.25 7.87 12.73 1.0 1.359 0.50 11.19 18.98 2.0 0.730 1.0 15.07 24.32 3.0 0.401 2.0 11.64 20.02 3.0 7.32 12.02 4.0 4.63 7.27 6.0 1.79 2.53 From this data, the following graphs were created and linear regression lines determined. You should practice making these graphs, but are not required to make them. In(C) Bolus IV Terminal Line Regression 5.00 4.00 3.00 2.00 1.00 y -0.6489x+1.0045 R²=0.9979 0.00 -1.00 -2.00 0 1 2 3 5 6 t (hr)
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