Diabetic Ketoacidosis Calculator
Estimate your diabetic ketoacidosis with our free diabetes calculator. See reference ranges, risk factors, and next-step guidance.
Reviewed by Rahul Singh, Health & Wellness Specialist
Formula
Anion Gap = Na - (Cl + HCO3) | Corrected Na = Na + 1.6 x ((Glucose - 100)/100)
The anion gap identifies unmeasured anions (ketoacids in DKA). Corrected sodium adjusts for the dilutional effect of hyperglycemia. Effective osmolality = 2xNa + Glucose/18 measures true tonicity. DKA severity is classified by pH, bicarbonate level, and mental status according to ADA criteria.
Worked Examples
Example 1: Mild DKA Assessment
Problem:A Type 1 diabetic presents with glucose 320 mg/dL, pH 7.28, bicarbonate 16 mEq/L, Na 138, K 4.5, Cl 102, BUN 18, positive ketones, alert mental status.
Solution:Anion Gap = 138 - (102 + 16) = 20 mEq/L (elevated)\nCorrected Na = 138 + 1.6 x ((320 - 100)/100) = 138 + 3.5 = 141.5 mEq/L\nEffective Osmolality = 2(138) + 320/18 = 276 + 17.8 = 293.8 mOsm/kg\nDKA criteria: Glucose > 250 (yes), Acidosis pH < 7.3 (yes), Ketones positive (yes), AG > 12 (yes)\nSeverity: pH 7.28 (7.25-7.30), HCO3 16 (15-18), Alert = Mild DKA
Result:Mild DKA | AG: 20 | Corrected Na: 141.5 | Start IV fluids, insulin, K+ replacement
Example 2: Severe DKA Assessment
Problem:A patient presents with glucose 580 mg/dL, pH 6.95, bicarbonate 5 mEq/L, Na 128, K 5.8, Cl 95, BUN 35, positive ketones, obtunded.
Solution:Anion Gap = 128 - (95 + 5) = 28 mEq/L (markedly elevated)\nCorrected Na = 128 + 1.6 x ((580 - 100)/100) = 128 + 7.7 = 135.7 mEq/L\nEffective Osmolality = 2(128) + 580/18 = 256 + 32.2 = 288.2 mOsm/kg\nSerum Osmolality = 288.2 + 35/2.8 = 300.7 mOsm/kg\nDelta-Delta = (28 - 12)/(24 - 5) = 16/19 = 0.84 (pure AGMA)\nSeverity: pH 6.95 (< 7.0), HCO3 5 (< 10), Obtunded = Severe DKA\nK+ 5.8: Do not supplement, recheck in 2 hours
Result:Severe DKA | AG: 28 | ICU admission required | Aggressive IV fluids + insulin drip
Frequently Asked Questions
What is diabetic ketoacidosis and what causes it?
Diabetic ketoacidosis (DKA) is a serious and potentially life-threatening complication of diabetes characterized by the triad of hyperglycemia (blood glucose typically above 250 mg/dL), metabolic acidosis (pH below 7.3 or bicarbonate below 18 mEq/L), and ketonemia or ketonuria. It occurs when there is insufficient insulin to allow glucose to enter cells for energy, forcing the body to break down fat rapidly as an alternative fuel source. This fat metabolism produces ketone bodies (acetoacetate, beta-hydroxybutyrate, and acetone) that accumulate in the blood, causing acidosis. Common triggers include infection (the most frequent precipitant, accounting for 30-40% of cases), insulin omission or pump failure, new-onset Type 1 diabetes, myocardial infarction, stroke, medications like corticosteroids, and substance abuse. DKA requires emergency medical treatment with insulin, fluids, and electrolyte replacement.
References
- Kitabchi AE et al. Hyperglycemic Crises in Adult Patients with Diabetes - Diabetes Care 2009
- American Diabetes Association - Hyperglycemic Crises: Diabetic Ketoacidosis and Hyperglycemic Hyperosmolar State
- Dhatariya KK et al. The Management of Diabetic Ketoacidosis in Adults - Joint British Diabetes Societies 2023
Reviewed by Rahul Singh, Health & Wellness Specialist · Editorial policy