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Bioavailability Calculator (F = AUC_po · Dose_iv / AUC_iv · Dose_po)

· Last updated:2026-08-04

This tool is for informational purposes only and does not constitute medical, financial, or legal advice; consult a qualified professional for advice.

Calculate the absolute bioavailability F of an extravascular (typically oral) dose: F = (AUC_po · Dose_iv) / (AUC_iv · Dose_po), where AUC_po and AUC_iv are the areas under the concentration-time curve after oral and IV dosing, and the doses correct for any difference in amount administered. F is dimensionless and lies in [0, 1]; IV bioavailability is by definition 1, while oral F < 1 reflects incomplete absorption and/or first-pass metabolism. AUC can be in any consistent unit (e.g. mg·h/L) since it cancels out of the ratio. Valid only for linear pharmacokinetics, the same drug molecule, and doses within the linear range. Not medical advice.

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Written by the Elysia Tools team

Tool usage guide

Learn when to use this tool, what it supports, and how real users apply it.

Key facts

Category
Health
Input types
number
Output type
json
Sample coverage
4
API ready
Yes

Overview

Calculate absolute bioavailability (F) for an oral or other extravascular dose using dose-corrected oral and IV AUC values: F = (AUC_po × Dose_iv) / (AUC_iv × Dose_po). The result is dimensionless and shown as a fraction and percentage.

When to use

  • Compare systemic exposure after oral and IV administration of the same drug molecule.
  • Correct an oral-to-IV AUC comparison when the administered doses are different.
  • Estimate absolute bioavailability under linear pharmacokinetic conditions.

How it works

  1. 1Enter the positive oral AUC, IV AUC, oral dose, and IV dose values.
  2. 2The calculator applies F = (AUC_po × Dose_iv) / (AUC_iv × Dose_po).
  3. 3AUC units cancel when the oral and IV values use consistent units, such as mg·h/L.
  4. 4The result is reported as bioavailability F and as a percentage, with the selected number of decimal places.

Use cases

  • Pharmacokinetic studies comparing oral and IV exposure.
  • Dose-corrected evaluation of oral absorption and first-pass effects.
  • Teaching and checking absolute bioavailability calculations from AUC data.

Examples

1. Equal-dose oral bioavailability

Pharmacokinetics student

Background

A study reports an oral AUC of 100 mg·h/L and an IV AUC of 120 mg·h/L after equal 200 mg doses.

Problem

Calculate absolute bioavailability when the oral and IV doses are the same.

How to use

Enter aucPo = 100, aucIv = 120, dosePo = 200, and doseIv = 200.

Decimal places: 4

Outcome

The calculator returns F = 0.8333, or 83.33%. With equal doses, this equals 100 ÷ 120.

2. Dose-adjusted oral bioavailability

Drug development researcher

Background

An oral study uses a 300 mg dose and produces an AUC of 90 mg·h/L. The IV reference uses 100 mg and produces an AUC of 150 mg·h/L.

Problem

Account for the unequal doses when estimating absolute bioavailability.

How to use

Enter aucPo = 90, aucIv = 150, dosePo = 300, and doseIv = 100.

Decimal places: 4

FAQ

What does the bioavailability result represent?

It represents absolute bioavailability, or the fraction of an extravascular dose reaching systemic circulation relative to an IV dose.

Which inputs are required?

You need the oral AUC, IV AUC, oral dose, and IV dose. All four values must be positive.

Do the oral and IV doses need to be equal?

No. The formula adjusts for different doses. If the doses are equal, F simplifies to AUC_po divided by AUC_iv.

What units should I use for AUC?

Use any consistent AUC unit for both measurements, such as mg·h/L. The AUC units cancel in the ratio.

When is this calculation valid?

It is intended for the same drug molecule, linear pharmacokinetics, and doses within the linear range. It is not medical advice.

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Explore pharmacokinetic formulas, model assumptions, and result consistency for teaching or QA without giving medication dosing or clinical advice.

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Outcome

The dose-corrected result is F = 0.2, or 20%.