Non compartment Analysis IV Administration

A drug follows first order (i.e. linear) pharmacokinetics. A 75 mg dose was given by rapid IV administration to a patient and a number of plasma drug concentration were determined. The results are shown in the table below. A non compartmental analysis was completed and AUC and AUMC values calculated. As you can see some of these values are missing from the table. Complete the table and estimate MRT, CL, and Vss from these data.

Time
hr Cp
mg/L ΔAUC
mg.hr/L AUC
mg.hr/L Cp • t
mg.hr/L ΔAUMC
mg.hr²/L AUMC
mg.hr²/L

0 0.646 0 0 0 0 0
0.25 0.551 0.15 0.15 0.138 0.017 0.017
0.5 0.477 0.129 0.278 0.239 0.047 0.064
0.75 0.388 0.108 0.386 0.291 0.066 0.13
1 0.323 A C 0.323 0.077 0.207
1.25 0.307 B 0.554 0.384 0.088 0.296
1.5 0.304 0.076 0.63 0.456 D F
2 0.281 0.146 0.777 0.562 E 0.655
4 0.216 0.497 1.273 0.864 1.426 2.081
6 0.174 0.39 1.664 1.044 1.908 3.989
9 0.123 0.446 2.109 1.107 3.226 7.216
12 0.092 0.323 2.432 1.104 3.317 10.532
24 0.027 0.714 3.145 0.648 10.512 21.044
Infinity 0 G H 0 I J

NOTE: Clicking either of the button above
will prevent you getting credit for this problem

To get credit for this problem print this page, work the problem and

You will have one chance to submit your answers for this problem [# 1360638074]. You can try the homework problem more than once with different data to improve your grade. Your highest score is recorded. After submitting your answers you can use the browser back arrow to get back here and see how the compuer worked the problem.

Some Equations:

Equation 30.4.1 AUC for the segment from i-1 to i

Equation 30.4.2 AUC for the last segment from t_last to infinity

where λ_z is the slowest (z) rate constant. λ_z can be calculated from the terminal slope of Cp versus time on semi-log graph paper.

Equation 30.4.3 AUMC for the last segment from t_last to infinity

where λ_z is the slowest (z) rate constant. λ_z can be calculated from the terminal slope of Cp versus time on semi-log graph paper.

Equation 30.4.4 Mean Resident Time (MRT)

Equation 30.4.5 Clearance (CL)

Equation 30.4.6 Steady State Apparent Volume of Distribution, V_ss

Last update: Tue 25 Sep 2007 01:38:52 pm

Practice problem answers may not be available on occasion. These practice problems may be used for graded homework from time to time. For any given problem set this will probably be for one or two weeks at most. Please try later.

Time hr	Cp mg/L	ΔAUC mg.hr/L	AUC mg.hr/L	Cp • t mg.hr/L	ΔAUMC mg.hr²/L	AUMC mg.hr²/L
0	0.646	0	0	0	0	0
0.25	0.551	0.15	0.15	0.138	0.017	0.017
0.5	0.477	0.129	0.278	0.239	0.047	0.064
0.75	0.388	0.108	0.386	0.291	0.066	0.13
1	0.323	A	C	0.323	0.077	0.207
1.25	0.307	B	0.554	0.384	0.088	0.296
1.5	0.304	0.076	0.63	0.456	D	F
2	0.281	0.146	0.777	0.562	E	0.655
4	0.216	0.497	1.273	0.864	1.426	2.081
6	0.174	0.39	1.664	1.044	1.908	3.989
9	0.123	0.446	2.109	1.107	3.226	7.216
12	0.092	0.323	2.432	1.104	3.317	10.532
24	0.027	0.714	3.145	0.648	10.512	21.044
Infinity	0	G	H	0	I	J