Step 1: Understand the A-a (PAO2 – PaO2) gradient
- PAO2 = PiO2 – (PaCO2/R) = (FiO2)(PB-PH2O) – (PaCO2/R)
- PAO2 = Partial pressure of oxygen in the alveoli
- PiO2 = Partial pressure of oxygen in inhaled air
- FiO2 = Fraction of oxygen concentration in inhaled air
- PB = Barometric pressure (760 mmHg at sea level)
- PH2O = Water vapor pressure (47 mmHg)
- PaCO2 = Partial pressure of carbon dioxide in arterial blood
- R = Respiratory quotient (0.8)
- Thus, PAO2 = (FiO2)(760-47) – (PaCO2/0.8)
- Use the patient’s PaCO2 (from an ABG) and their FiO2 to calculate their PAO2
- A-a gradient = (PAO2 calculated as above) minus (PaO2 from patient’s ABG)
- Normal A-a gradient = (Age + 10) / 4
- A-a gradient tells you about gas exchange, and helps narrow the differential diagnosis, as below
Mechanisms of Hypoxemia

Reduced FiO2
- High altitude
Hypoventilation
- CNS depression
- Medications (opioids, benzodiazepines)
- Illicit drugs
- CNS lesions (ischemic or mass)
- PNS depression
- C-spine injury
- Phrenic nerve palsy
- Muscular
- Myasthenia Gravis
- Muscular Dystrophy
- Polymyositis
- Tetanus
- Hypothyroidism
- Skeletal/Structural
- Scoliosis
- Flail chest
- Obesity hypoventilation syndrome (“Pickwickian” syndrome)
V/Q mismatch
- Increased Dead Space
- Pulmonary hypertension
- Pulmonary embolism
- Intraalveolar Process – can be seen on chest radiography
- Alveolar filling
- Blood (trauma, autoimmune)
- Pus (infection)
- Water (heart failure, renal failure, ARDS)
- Cells (bronchoalveolar cell carcinoma, lymphoma)
- Alveolar collapsing
- Atelectasis
- Alveolar filling
- Shunt (extreme V/Q mismatch – blood passes from the right to the left side of the heart without being oxygenated)
- Anatomic shunt: Blood bypasses alveoli
- Intracardiac shunt (PFO, ASD, VSD)
- Pulmonary arteriovenous malformation
- Hepatopulmonary syndrome
- Physiologic shunt: Severe intraalveolar process in which no gas exchange is participating at the alveolar-pulmonary capillary interface
- Anatomic shunt: Blood bypasses alveoli
Diffusion limitation
- Impairment of diffusion of oxygen from alveolus to pulmonary capillary
- Interstitial Lung Disease