T19: AUC from K, dose and concentration

50. Pharmacokinetics 50.1) PK Basic parameters 50.1.3) Area Under Curve (AUC) AUC basic concepts Normal 1

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32.87 mg of a drug was administered to a patient as an IV push, which resulted the plasma concentration of 1.2 mg/L. The elimination rate constant of the drug is 0.128 h-1. Determine the AUC.

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lb equals 9.38 mg × h/L kg

    We know that, AUC may be calculated from dose (`X_{0}`) and clearance (`Cl`) OR initial concentration (`C_{0}`) and the elimination rate constant (`K`).

    ` AUC = (X_{0})/(Cl) = (C_{0})/K`.

    By plugging the values of initial concentration and K, we get,

    ` AUC = (C_{0})/K = (1.2 \quad (mg)/L)/(0.128 \quad h^{-1})=9.38 \quad (mg × h)/L`. Ans.