🩺 MedCalcHub

A-a Gradient Calculator — Free Online Calculator

Input

%
mmHg
mmHg
years

A-a Gradient

About This Calculator

The alveolar-arterial (A-a) oxygen gradient measures the difference between the oxygen concentration in the alveoli and in arterial blood. It helps differentiate between causes of hypoxemia: a normal A-a gradient suggests hypoventilation or low FiO2, while an elevated gradient suggests V/Q mismatch, shunt, or diffusion impairment.

Formula

A-a Gradient = PAO₂ − PaO₂
PAO₂ (Alveolar O₂) = FiO₂ × (Patm − PH₂O) − PaCO₂ / 0.8
Patm = 760 mmHg (sea level), PH₂O = 47 mmHg
Expected A-a Gradient = (Age / 4) + 4

Interpretation

A-a GradientInterpretation
≤ Expected for ageNormal
> Expected for ageElevated — V/Q mismatch, shunt, or diffusion impairment

References

  1. Sarkar M, et al. Mechanisms of hypoxemia. Lung India. 2017;34(1):47-60.
  2. Mason RJ, et al. Murray and Nadel's Textbook of Respiratory Medicine. 6th ed. Elsevier; 2016.

Frequently Asked Questions

What does a high A-a gradient mean?

An elevated A-a gradient indicates impaired gas exchange in the lungs. Causes include V/Q mismatch (e.g., PE, pneumonia), diffusion impairment (e.g., pulmonary fibrosis), or right-to-left shunt. A normal A-a gradient with hypoxemia suggests hypoventilation or low FiO₂.

How do you calculate the expected A-a gradient?

The expected A-a gradient increases with age. A common approximation is: Expected A-a gradient = (Age ÷ 4) + 4, or alternatively (Age + 10) ÷ 4. Values significantly above the expected gradient suggest pathology.

What is a normal A-a gradient?

In a young, healthy adult breathing room air at sea level, the normal A-a gradient is 5–15 mmHg. It increases by about 1 mmHg for every 4 years of age. An A-a gradient above the age-adjusted expected value is abnormal.

Related Calculators

⚠ Medical Disclaimer

This tool is for educational and informational purposes only. It is not intended to replace professional medical advice, diagnosis, or treatment. Always consult a qualified healthcare professional for clinical decisions.