Calculate expected pCO₂ for metabolic acidosis using Winters' formula. Full ABG acid-base analysis with anion gap (albumin-corrected), delta-delta ratio, compensation assessment, and MUDPILES diff...
Winters' formula is the cornerstone of metabolic acidosis evaluation, predicting the expected respiratory compensation (pCO₂) for a given degree of bicarbonate reduction. If the measured pCO₂ matches the predicted value, the patient has a simple metabolic acidosis with appropriate respiratory compensation. If pCO₂ is lower than expected, a concurrent respiratory alkalosis exists; if higher, a concurrent respiratory acidosis is present — indicating a "mixed" acid-base disorder that may require different management.
Systematic ABG interpretation follows a structured five-step approach: (1) identify the pH direction (acidemia vs alkalemia), (2) identify the primary disturbance (metabolic vs respiratory), (3) assess compensation adequacy using Winters' formula or other compensation rules, (4) calculate the anion gap (with albumin correction — every 1 g/dL drop in albumin raises the "normal" AG by 2.5), and (5) if the anion gap is elevated, apply the delta-delta ratio to detect concurrent metabolic alkalosis or non-anion gap metabolic acidosis superimposed on the AGMA.
This calculator performs all five steps automatically: it applies Winters' formula, calculates both raw and albumin-corrected anion gaps, determines the delta-delta ratio with interpretation, and provides structured tables for compensation rules and AGMA differential diagnosis (MUDPILES mnemonic). The result is a complete acid-base assessment from a single set of lab values.
Mixed acid-base disorders are easily missed when relying on intuition rather than systematic calculation. A patient with DKA (AGMA) who also has diarrhea (NAGMA) and has been vomiting (metabolic alkalosis) can have three simultaneous acid-base disorders that are only detectable by calculating the delta-delta ratio. This calculator performs the complete five-step analysis in seconds, catching mixed disorders that manual assessment frequently overlooks.
Winters' Formula: Expected pCO₂ = 1.5 × [HCO₃⁻] + 8 ± 2 Anion Gap: AG = Na⁺ - Cl⁻ - HCO₃⁻ Albumin-corrected AG = AG + 2.5 × (4.0 - albumin) Delta-Delta = (AG - 12) / (24 - HCO₃⁻) <1: mixed AGMA + NAGMA | 1-2: pure AGMA | >2: AGMA + metabolic alkalosis
Result: Expected pCO₂: 24-28 mmHg → Measured 28 ✓ Appropriate. AG = 23 (elevated). Delta-delta = 0.92 → Mixed AGMA + NAGMA
Winters': 1.5 × 12 + 8 = 26 ± 2 → range 24-28. Measured pCO₂ 28 is within range — appropriate compensation. AG = 140 - 105 - 12 = 23 (elevated, normal ≤12). Delta-delta = (23-12)/(24-12) = 11/12 = 0.92 — the AG increase doesn't fully account for the HCO₃ decrease, suggesting a concurrent NAGMA (e.g., diarrhea + DKA).
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Winters' formula applies ONLY to metabolic acidosis (low pH + low HCO₃ as the primary disorder). It should not be used for metabolic alkalosis (use pCO₂ = 0.7 × HCO₃ + 21 ± 2), respiratory acidosis, or respiratory alkalosis. Each primary disorder has its own compensation formula.
This indicates inadequate respiratory compensation — the patient has a concurrent respiratory acidosis on top of the metabolic acidosis. Common causes: COPD patient with DKA (cannot hyperventilate adequately), respiratory muscle fatigue, CNS depression, or mechanical ventilation with insufficient minute ventilation.
Albumin is an unmeasured anion that normally contributes to the AG. Hypoalbuminemia (common in critically ill, cirrhotic, and malnourished patients) lowers the AG — potentially masking an AGMA. For every 1 g/dL albumin below 4.0, add 2.5 to the AG. Without this correction, you might miss lactic acidosis or DKA in a hypoalbuminemic patient.
A ratio > 2 means the AG has risen more than the HCO₃ has fallen — there is "excess" bicarbonate that should have been depleted by the acid load. This indicates a concurrent metabolic alkalosis (e.g., a patient with DKA who has been vomiting, or a septic patient with lactic acidosis who also receives bicarbonate).
No — respiratory compensation for metabolic acidosis never fully normalizes pH. The pH will always remain below 7.40 if metabolic acidosis is the only primary disorder. A "normal" pH of 7.40 with a low HCO₃ and low pCO₂ indicates a concurrent respiratory alkalosis — not just compensation.
This is a quick bedside check: in a simple metabolic acidosis, the pCO₂ should approximately equal the last two digits of the pH (e.g., pH 7.25 → pCO₂ ~25). This is a rough approximation of Winters' formula and is useful for rapid assessment before doing formal calculations.