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Pulmonology / Respiratory
A-a Gradient

A-a Gradient Calculator

Pulmonology / Respiratory

The alveolar-arterial (A-a) oxygen gradient measures the difference between alveolar and arterial oxygen tension. It helps differentiate causes of hypoxemia and assess gas exchange efficiency.
Formula
PAO₂ = FiO₂ × (P_atm − P_H₂O) − PaCO₂ / 0.8
A-a Gradient = PAO₂ − PaO₂
Expected Normal = Age/4 + 4 (on room air)
Reference
A-a GradientInterpretationCommon Causes
≤ Age/4+4NormalHypoventilation only
Slightly elevatedMild elevationEarly V/Q mismatch
20–40 mmHgModerate elevationV/Q mismatch, PE
>40 mmHgSevere elevationShunt, severe V/Q mismatch
Clinical Notes
Normal A-a gradient with elevated PaCO₂: Pure hypoventilation — consider CNS depression, neuromuscular disease, or obesity hypoventilation syndrome.

Elevated A-a gradient: Indicates V/Q mismatch, intrapulmonary shunt, diffusion impairment, or pulmonary embolism. The A-a gradient increases with age and with higher FiO₂.
For educational use only. Not a substitute for clinical judgment.

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