Non compartment Analysis IV Administration

A drug follows first order (i.e. linear) pharmacokinetics. A 1000 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 11 0 0 0 0 0
0.25 8.02 2.38 2.38 2.01 0.251 0.251
0.5 6.29 1.79 4.17 3.15 0.644 0.894
0.75 5.24 1.44 5.61 3.93 0.884 1.78
1 4.6 A C 4.6 1.07 2.85
1.25 4.18 B 7.94 5.23 1.23 4.07
1.5 3.89 1.01 8.94 5.84 D F
2 3.51 1.85 10.8 7.02 E 8.67
4 2.66 6.17 17 10.6 17.7 26.3
6 2.06 4.72 21.7 12.4 23 49.3
9 1.4 5.19 26.9 12.6 37.4 86.8
12 0.957 3.54 30.4 11.5 36.1 123
24 0.206 6.98 37.4 4.94 98.6 221
Infinity 0 G H 0 I J

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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 k' is the slowest rate constant. k' 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 k' is the slowest rate constant. k' 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 1 Oct 2024 04:08:16 pm

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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	11	0	0	0	0	0
0.25	8.02	2.38	2.38	2.01	0.251	0.251
0.5	6.29	1.79	4.17	3.15	0.644	0.894
0.75	5.24	1.44	5.61	3.93	0.884	1.78
1	4.6	A	C	4.6	1.07	2.85
1.25	4.18	B	7.94	5.23	1.23	4.07
1.5	3.89	1.01	8.94	5.84	D	F
2	3.51	1.85	10.8	7.02	E	8.67
4	2.66	6.17	17	10.6	17.7	26.3
6	2.06	4.72	21.7	12.4	23	49.3
9	1.4	5.19	26.9	12.6	37.4	86.8
12	0.957	3.54	30.4	11.5	36.1	123
24	0.206	6.98	37.4	4.94	98.6	221
Infinity	0	G	H	0	I	J