Pharmacology & Dosage
Intermediate

Bioavailability

Fraction of an oral dose that reaches systemic circulation compared with an IV dose.

Formula

F=AUCoralAUCIV×100F = \frac{AUC_{oral}}{AUC_{IV}} \times 100

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Variables

FBioavailability (%)
AUC_{oral}Area under the curve for oral route
AUC_{IV}Area under the curve for IV route

Example

AUCoral = 80, AUCIV = 100 → F = 80 %

How it works

Bioavailability tells you how much of an orally taken drug actually gets into the bloodstream compared with the same drug given directly into a vein. The AUC, or area under the concentration–time curve, measures total body exposure to the drug over time, so comparing oral AUC with IV AUC shows how much exposure is lost because of incomplete absorption and first-pass metabolism. IV administration is treated as the reference because it delivers the full dose straight into systemic circulation, so its AUC represents 100% availability for the same amount administered.

When to use it

Use this formula when comparing oral and IV formulations of the same drug, or when estimating how efficiently an oral dose reaches systemic circulation. It is especially useful in pharmacokinetics, drug development, and dose conversion problems.

Worked example, step by step

Given: AUC_oral = 45 and AUC_IV = 120 Step 1: Substitute into the formula: F = (AUC_oral / AUC_IV) × 100 Step 2: F = (45 / 120) × 100 Step 3: F = 0.375 × 100 Step 4: F = 37.5% Final answer: The oral bioavailability is 37.5%.

Common mistakes to avoid

  • Using drug dose values instead of AUC values
  • Forgetting to multiply by 100 to convert the ratio into a percentage
  • Comparing AUCs from different doses without accounting for dose differences

Did You Know?

IV drugs have 100 % bioavailability by definition — they skip the gut and liver first-pass effect entirely.

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Reviewed & maintained by the FormulaWon editorial teamLast reviewed September 2026