# Non compartment Analysis IV Administration

A drug follows first order (i.e. linear) pharmacokinetics. A 50 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.

 Timehr Cpmg/L ΔAUCmg.hr/L AUCmg.hr/L Cp • tmg.hr/L ΔAUMCmg.hr2/L AUMCmg.hr2/L 0 0.502 0 0 0 0 0 0.25 0.367 0.109 0.109 0.0918 0.0115 0.0115 0.5 0.304 0.0839 0.193 0.152 0.0305 0.0419 0.75 0.271 0.0719 0.264 0.203 0.0444 0.0863 1 0.251 A C 0.251 0.0568 0.143 1.25 0.238 B 0.391 0.298 0.0686 0.212 1.5 0.227 0.0581 0.449 0.341 D F 2 0.21 0.109 0.558 0.42 E 0.482 4 0.156 0.366 0.924 0.624 1.04 1.53 6 0.116 0.272 1.2 0.696 1.32 2.85 9 0.0743 0.285 1.48 0.669 2.05 4.89 12 0.0476 0.183 1.66 0.571 1.86 6.75 24 0.00802 0.334 2 0.192 4.58 11.3 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 tlast 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 tlast 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, Vss

Last update: Sat 28 Nov 2015 09:52:07 am