Alveolar-Arterial (A-a) Gradient
The A-a gradient differentiates pulmonary from extrapulmonary causes of hypoxemia:
A-a Gradient Calculation
Step 1: Calculate alveolar oxygen (PAO2):
PAO2 = (FiO2 × [Patm - PH2O]) - (PaCO2 / 0.8)
At sea level on room air: PAO2 = (0.21 × [760 - 47]) - (PaCO2 / 0.8) = 150 - (PaCO2 / 0.8)
Step 2: Calculate A-a gradient:
A-a gradient = PAO2 - PaO2
Normal A-a gradient: (Age / 4) + 4 mmHg
Example: 60-year-old → (60/4) + 4 = 19 mmHg
A-a Gradient Interpretation
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| A-a Gradient |
Interpretation |
Causes |
| Normal (<20 mmHg in young adults) |
Extrapulmonary cause |
Hypoventilation, low FiO2 (altitude) |
| Elevated (>normal for age) |
Pulmonary gas exchange abnormality |
V/Q mismatch, shunt, diffusion impairment |
| Severely elevated (>50 mmHg) |
Severe gas exchange impairment |
ARDS, severe pneumonia, large shunt |
Normal A-a Gradient Rule of Thumb
A-a gradient = (Age / 4) + 4. For a 40-year-old: (40/4) + 4 = 14 mmHg. For an 80-year-old: (80/4) + 4 = 24 mmHg. This adjusts for normal age-related decline in gas exchange. A-a gradient >normal indicates pulmonary pathology (not just hypoventilation or altitude).
P/F Ratio (PaO2/FiO2 Ratio)
The P/F ratio normalizes PaO2 for inspired oxygen concentration, essential for ARDS diagnosis and assessment of oxygenation on supplemental O2:
P/F Ratio Calculation
P/F Ratio = PaO2 / FiO2
Example 1: PaO2 90 mmHg on room air (FiO2 0.21)
P/F Ratio = 90 / 0.21 = 429 (normal)
Example 2: PaO2 90 mmHg on 50% oxygen (FiO2 0.50)
P/F Ratio = 90 / 0.50 = 180 (severe ARDS)
P/F Ratio Interpretation - ARDS (Berlin Criteria)
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| ARDS Severity |
P/F Ratio |
Clinical Significance |
| Normal |
>400 |
Normal oxygenation |
| Mild ARDS |
200-300 |
Mild oxygenation impairment with PEEP ≥5 |
| Moderate ARDS |
100-200 |
Moderate oxygenation impairment with PEEP ≥5 |
| Severe ARDS |
<100 |
Severe oxygenation impairment with PEEP ≥5 |
ARDS Berlin Criteria (2012)
P/F ratio <300 with bilateral infiltrates on CXR, within 1 week of known insult, respiratory failure not fully explained by cardiac failure or fluid overload. PEEP ≥5 cmH2O required for classification. Severity impacts mortality: Mild (27%), Moderate (32%), Severe (45%).
Oxygen-Hemoglobin Dissociation Curve
The sigmoid-shaped curve describes the relationship between PaO2 and hemoglobin oxygen saturation (SaO2):
Key Features of the Curve
- Plateau phase (PaO2 60-100 mmHg): SaO2 remains >90%; steep decline below PaO2 60 mmHg
- P50 (normal = 27 mmHg): PaO2 at which hemoglobin is 50% saturated; indicates oxygen affinity
- Clinical significance: Large PaO2 drops from 100→80 mmHg cause minimal SaO2 change, but 60→40 mmHg drops SaO2 dramatically
Rightward Shift (Decreased Oxygen Affinity - Easier O2 Release)
- Effect: Lower SaO2 at same PaO2; hemoglobin releases oxygen more readily to tissues
- Causes: Acidosis (↓pH), hypercapnia (↑CO2), hyperthermia (fever), increased 2,3-DPG
- Mnemonic: "CADET, face RIGHT" = CO2, Acidosis, 2,3-DPG, Exercise (lactic acid), Temperature
- Clinical benefit: Improves tissue oxygen delivery despite same PaO2
Leftward Shift (Increased Oxygen Affinity - Harder O2 Release)
- Effect: Higher SaO2 at same PaO2; hemoglobin binds oxygen tightly and releases less to tissues
- Causes: Alkalosis (↑pH), hypocapnia (↓CO2), hypothermia, decreased 2,3-DPG, fetal hemoglobin, carbon monoxide
- Clinical problem: Despite normal SaO2, tissues receive less oxygen (impaired unloading)
- CO poisoning: Leftward shift plus direct SaO2 reduction creates severe tissue hypoxia despite normal PaO2
Clinical Application of Curve Shifts
In septic shock with lactic acidosis and fever, rightward shift helps compensate by enhancing tissue oxygen extraction. In contrast, hypothermic patients post-cardiac arrest have leftward shift, impairing oxygen delivery despite adequate PaO2. Avoid hyperventilation causing hypocapnia and leftward shift in TBI patients.