I now have all four compensation formulas with their interpretation rules. Here is the complete, organized answer:
How to Check Compensation Status on an ABG
The core principle: identify the primary disorder first, then apply the matching compensation formula. Calculate the expected value of the compensating parameter and compare it to the measured value. The result tells you whether compensation is appropriate (simple disorder), insufficient (mixed disorder), or excessive (mixed disorder).
Step-by-Step Logic
1. Identify primary disorder (from pH + the changed parameter)
2. Apply the compensation formula → get the EXPECTED value
3. Compare EXPECTED vs MEASURED
- MEASURED = EXPECTED → Appropriate compensation (simple disorder)
- MEASURED > EXPECTED → Additional acidifying process present
- MEASURED < EXPECTED → Additional alkalinizing process present
The 4 Primary Disorders & Their Compensation Formulas
1. Metabolic Acidosis
Primary change: pH ↓, HCO3- ↓
Compensates via: Lungs hyperventilate → CO2 blown off → PaCO2 ↓
Formula - Winter's Formula:
Expected PaCO2 = (1.5 × [HCO3-]) + 8 ± 2
| Measured PaCO2 vs Expected | Interpretation |
|---|
| Measured PaCO2 = Expected | Appropriate respiratory compensation (simple metabolic acidosis) |
| Measured PaCO2 > Expected | Concomitant respiratory acidosis (not blowing off enough CO2) |
| Measured PaCO2 < Expected | Concomitant respiratory alkalosis (blowing off too much CO2) |
Example: HCO3- = 14 mEq/L
Expected PaCO2 = (1.5 × 14) + 8 = 21 + 8 = 29 ± 2 mm Hg
- If measured PaCO2 = 29 → simple metabolic acidosis ✓
- If measured PaCO2 = 38 → mixed metabolic acidosis + respiratory acidosis
- If measured PaCO2 = 20 → mixed metabolic acidosis + respiratory alkalosis
2. Metabolic Alkalosis
Primary change: pH ↑, HCO3- ↑
Compensates via: Lungs hypoventilate → CO2 retained → PaCO2 ↑
Formula:
Expected PaCO2 = 0.7 × ([HCO3-] − 24) + 40 ± 2
| Measured PaCO2 vs Expected | Interpretation |
|---|
| Measured PaCO2 = Expected | Appropriate respiratory compensation (simple metabolic alkalosis) |
| Measured PaCO2 > Expected | Concomitant respiratory acidosis |
| Measured PaCO2 < Expected | Concomitant respiratory alkalosis |
Example: HCO3- = 34 mEq/L
Expected PaCO2 = 0.7 × (34 - 24) + 40 = 7 + 40 = 47 ± 2 mm Hg
3. Respiratory Acidosis
Primary change: pH ↓, PaCO2 ↑
Compensates via: Kidneys retain HCO3- → HCO3- ↑
(Kidney compensation is slow - takes 3-5 days, so acute vs chronic distinction is critical)
Formula:
Acute: For every ↑10 mm Hg in PaCO2 above 40 → HCO3- ↑ by 1 mEq/L
Chronic: For every ↑10 mm Hg in PaCO2 above 40 → HCO3- ↑ by 4-5 mEq/L
| Measured HCO3- vs Expected | Interpretation |
|---|
| Measured HCO3- = Expected | Appropriate compensation |
| Measured HCO3- > Expected | Concomitant metabolic alkalosis |
| Measured HCO3- < Expected | Concomitant metabolic acidosis |
Example (acute): PaCO2 = 60 mm Hg (↑20 above 40)
Expected HCO3- increase = 20/10 × 1 = 2 mEq/L → Expected HCO3- = 24 + 2 = 26 mEq/L
Example (chronic): PaCO2 = 60 mm Hg
Expected HCO3- increase = 20/10 × 4-5 = 8-10 mEq/L → Expected HCO3- = 32-34 mEq/L
4. Respiratory Alkalosis
Primary change: pH ↑, PaCO2 ↓
Compensates via: Kidneys excrete HCO3- → HCO3- ↓
Formula:
Acute: For every ↓10 mm Hg in PaCO2 below 40 → HCO3- ↓ by 2 mEq/L
Chronic: For every ↓10 mm Hg in PaCO2 below 40 → HCO3- ↓ by 4-5 mEq/L
| Measured HCO3- vs Expected | Interpretation |
|---|
| Measured HCO3- = Expected | Appropriate compensation |
| Measured HCO3- > Expected | Concomitant metabolic alkalosis |
| Measured HCO3- < Expected | Concomitant metabolic acidosis |
Example (acute): PaCO2 = 20 mm Hg (↓20 below 40)
Expected HCO3- decrease = 20/10 × 2 = 4 mEq/L → Expected HCO3- = 24 - 4 = 20 mEq/L
Quick Reference Summary Table
| Primary Disorder | Compensating Organ | Parameter That Changes | Formula |
|---|
| Metabolic Acidosis | Lungs | PaCO2 ↓ | PaCO2 = (1.5 × HCO3-) + 8 ± 2 |
| Metabolic Alkalosis | Lungs | PaCO2 ↑ | PaCO2 = 0.7 × (HCO3- - 24) + 40 ± 2 |
| Respiratory Acidosis (acute) | Kidneys | HCO3- ↑ | +1 mEq/L per ↑10 mm Hg CO2 |
| Respiratory Acidosis (chronic) | Kidneys | HCO3- ↑ | +4-5 mEq/L per ↑10 mm Hg CO2 |
| Respiratory Alkalosis (acute) | Kidneys | HCO3- ↓ | -2 mEq/L per ↓10 mm Hg CO2 |
| Respiratory Alkalosis (chronic) | Kidneys | HCO3- ↓ | -4-5 mEq/L per ↓10 mm Hg CO2 |
Key Rules to Remember
- Compensation never fully corrects pH - the pH always stays on the side of the primary disorder. If the pH is fully normal, suspect a mixed disorder.
- Metabolic disorders are compensated by the lungs (fast - minutes to hours).
- Respiratory disorders are compensated by the kidneys (slow - 3-5 days for full chronic compensation).
- Acute vs chronic matters only for respiratory disorders - the degree of expected renal compensation differs significantly.
- If measured compensation is more than expected → a second alkalinizing process is present alongside.
- If measured compensation is less than expected → a second acidifying process is present alongside.
Source: Frameworks for Internal Medicine; Barash, Cullen & Stoelting's Clinical Anesthesia, 9e