PharmaWallah

Pharmacokinetics

Bioavailability Calculator

Works out bioavailability (F) — the percentage of a dose that reaches the circulation — from AUC data, or estimates it from a typical value for the route.

Bioavailability (F)

50.0%

Good bioavailability – suitable for oral administration

Inputs

Labels the result and highlights the route in the comparison chart.

Test formulation

mg

Dose of the formulation being tested (e.g. oral).

mg·h/L

AUC measured after the test dose.

Reference (IV or standard)

mg

Dose of the IV or standard formulation.

mg·h/L

AUC measured after the reference dose.

Pharmacokinetic parameters (optional)

L/h

With Vd, gives the half-life.

L

t½ = 0.693 × Vd / CL.

Try an example drug (fills the AUC method)

Working

RouteORAL
F = (50 ÷ 100) ÷ (100 ÷ 100) × 10050.0%
Half-life (t½)Enter CL and Vd

Route comparison

Typical bioavailability by route (%). The Oral bar shows your result when the route is oral.

Typical bioavailability

IV100%
IM75–100%
Oral0–100%
Transdermal70–95%

Worked example: Absolute bioavailability with unequal doses

In a crossover study, volunteers receive Drug X as a 200 mg oral tablet and, on another occasion, as a 100 mg IV dose. The AUC₀–∞ is 36 mg·h/L after the tablet and 30 mg·h/L after the IV dose. Find the absolute oral bioavailability.

Route
Oral
Test dose Dₜ (oral)
200 mg
Test AUCₜ
36 mg·h/L
Reference dose Dᵣ (IV)
100 mg
Reference AUCᵣ
30 mg·h/L
Method
From AUC data
  1. Formula

    F = (AUCₜ ÷ Dₜ) ÷ (AUCᵣ ÷ Dᵣ) × 100

  2. Exposure per mg, oral

    36 mg·h/L ÷ 200 mg = 0.18 h/L per mg

  3. Exposure per mg, IV

    30 mg·h/L ÷ 100 mg = 0.30 h/L per mg

  4. Ratio

    F = 0.18 ÷ 0.30 × 100 = 60.0 %

F = 60.0 % (0.60 as a fraction) — absolute oral bioavailability.

Only 60 % of each oral milligram reaches the systemic circulation, through incomplete absorption, first-pass metabolism or both. Notice that the oral AUC is larger than the IV AUC here, yet F is below 100 % — because twice the dose was given. Always compare exposure per milligram. This is an educational calculation on illustrative study data, not a dose conversion for a patient.

Common mistakes

Comparing the AUCs without dividing each by its own dose. 36 ÷ 30 would suggest F = 120 %, when the dose-normalised answer is 60 %.
Mixing F as a percentage and as a fraction. This page prints a percentage; formulas such as LD = Cₚ × Vd ÷ F need the fraction (60 % → 0.60).
Using AUC to the last sample for one formulation and to infinity for the other. Both AUCs must be AUC₀–∞ (or both to the same time) and in the same units.
Calling the result absolute bioavailability when the reference was another oral product. Against an oral reference it is relative bioavailability.
Converting between routes the wrong way round. The oral dose is the IV dose ÷ F, not × F: with F = 0.6 the oral dose is larger.

Assumptions and limitations

Assumes clearance was the same in both study periods. If clearance changed between them, the AUC ratio no longer measures absorption alone.
Assumes linear pharmacokinetics, so AUC rises in proportion to dose. Saturable first-pass metabolism or absorption breaks dose normalisation.
The 'Estimate from dose' method applies one textbook F per route (oral 80 %, IM 95 %, SC 90 %, transdermal 85 %); a real drug's F can be anywhere from near 0 to 100 %.
A single F from mean AUCs hides the variability between individuals, which is large for drugs with extensive first-pass metabolism.

References

  1. Ducharme MP, Shargel L, editors. Shargel and Yu's Applied Biopharmaceutics & Pharmacokinetics. 8th ed. New York: McGraw Hill; 2022.
  2. Rowland and Tozer's Clinical Pharmacokinetics and Pharmacodynamics: Concepts and Applications. 5th ed. Philadelphia: Wolters Kluwer; 2019.

Common questions

Prepared by the PharmaWallah student team. Verify results with your textbook or instructor. Report an error · Editorial policy