How is F (bioavailability) calculated from AUC values and dose?

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Multiple Choice

How is F (bioavailability) calculated from AUC values and dose?

Explanation:
Bioavailability is the fraction of the administered dose that reaches systemic circulation unchanged. To compare oral and intravenous routes, use the AUCs scaled by their doses. Under linear pharmacokinetics, AUC is proportional to dose times bioavailability (AUC ~ Dose × F). For the intravenous route, F is 1, so AUC_iv = Dose_iv / Cl, and for the oral route, AUC_po = F × Dose_po / Cl. Taking the ratio and solving for F gives F = (AUC_po / AUC_iv) × (Dose_iv / Dose_po). This matches the expression in the correct option, and it can be rewritten equivalently as F = (AUC_po × Dose_iv) / (AUC_iv × Dose_po). Remember, this relies on linear kinetics and complete AUC capture.

Bioavailability is the fraction of the administered dose that reaches systemic circulation unchanged. To compare oral and intravenous routes, use the AUCs scaled by their doses. Under linear pharmacokinetics, AUC is proportional to dose times bioavailability (AUC ~ Dose × F). For the intravenous route, F is 1, so AUC_iv = Dose_iv / Cl, and for the oral route, AUC_po = F × Dose_po / Cl. Taking the ratio and solving for F gives F = (AUC_po / AUC_iv) × (Dose_iv / Dose_po). This matches the expression in the correct option, and it can be rewritten equivalently as F = (AUC_po × Dose_iv) / (AUC_iv × Dose_po). Remember, this relies on linear kinetics and complete AUC capture.

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