Example:

After an oral ampicillin dose of 500 mg the following conc were obtained:

  • at time 0 hrconc 0 mg/L
  • at time 1.0 hrconc 18 mg/L
  • at time 2.0 hrconc 14 mg/L
  • at time 4.0 hrconc 5 mg/L
  • at time 6.0 hrconc 1.6 mg/L

Calculate ampicillin AUC using the trapezoidal rule (ampicillin t1/2 is 1.2 hr)

0,0
1
1,18
2
2,14
3
4,5
4
6,1.6
tail

The area of a trapezoid =

(

Cpn+Cpn+1

2
) .(tn+1 - tn)
(

0+18

2
) .(1-0) = 9 mg-hr/L +
(

18+14

2
) .(2-1) = 16 mg-hr/L +
(

14+5

2
) .(4-2) = 19 mg-hr/L +
(

5+1.6

2
) .(6-4) = 6.6 mg-hr/L +
tail = (

1.6

0.693/1.2
) = 2.77 mg-hr/L +

AUC = 53.37 mg-hr/L

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