Diabetic Ketoacidosis Calculator – Anion Gap & DKA Severity

Calculate anion gap, delta gap, osmolal gap, and corrected sodium to assess DKA severity for emergency and critical-care management.

Enter the patient's electrolyte panel and glucose to compute key metabolic indicators and classify DKA severity according to ADA criteria.

Diabetic Ketoacidosis Calculator – Anion Gap & DKA Severity
Calculate anion gap, delta gap, osmolal gap, and corrected sodium to assess DKA severity for emergency and critical-care management.

About the diabetic ketoacidosis calculator

Diabetic ketoacidosis (DKA) is a life-threatening acute complication of diabetes mellitus, most commonly seen in Type 1 diabetes but increasingly recognised in Type 2 diabetes, particularly in patients of African, Hispanic, and Asian descent under the label 'ketosis-prone diabetes'. DKA arises when severe insulin deficiency — combined with counter-regulatory hormone excess (glucagon, cortisol, catecholamines, growth hormone) — leads to unrestrained lipolysis, beta-oxidation of fatty acids, and hepatic ketone body production at a rate exceeding peripheral utilisation and renal excretion. The biochemical hallmarks are hyperglycaemia (usually > 250 mg/dL), metabolic acidosis (pH < 7.30, bicarbonate < 15 mEq/L), and ketonaemia or ketonuria. Because ketone anions (predominantly beta-hydroxybutyrate in severe DKA) accumulate in the plasma and replace bicarbonate, the anion gap widens — a central diagnostic feature. The anion gap is calculated as Na − (Cl + HCO₃); a value above 12 mEq/L in the appropriate clinical context strongly supports high-anion-gap metabolic acidosis consistent with ketoacidosis. This DKA calculator computes four key derived values from a standard basic metabolic panel. First, the anion gap identifies whether a high-AG metabolic acidosis is present. Second, the delta ratio — (AG − 12) / (24 − HCO₃) — detects mixed acid-base disorders: a ratio of 1–2 indicates a pure high-AG acidosis, a ratio below 1 suggests a concurrent hyperchloremic acidosis, and a ratio above 2 points to a background metabolic alkalosis. Third, the corrected sodium accounts for the dilutional pseudohyponatraemia caused by hyperglycaemia, calculating: corrected Na = measured Na + 1.6 × (glucose − 100) / 100. Fourth, when measured osmolality is available, the osmolal gap (measured minus calculated osmolality) is reported; a gap exceeding 10 mOsm/kg raises the possibility of unmeasured osmoles such as toxic alcohols. DKA severity is classified using the ADA framework. Mild DKA is characterised by glucose > 250 mg/dL, pH 7.25–7.30, and bicarbonate 15–18 mEq/L — patients are typically alert and can often be managed with subcutaneous insulin protocols in a general medical setting. Moderate DKA (pH 7.00–7.24, HCO₃ 10–14) requires intravenous fluid resuscitation, intravenous insulin infusion, and close electrolyte monitoring. Severe DKA (pH < 7.00, HCO₃ < 10) demands intensive care unit admission, continuous cardiac telemetry for hyperkalaemia-related arrhythmias, and aggressive monitoring for cerebral oedema — the most feared complication, particularly in paediatric patients. Electrolyte management is critical throughout DKA treatment. Despite total body potassium depletion, serum potassium may be paradoxically normal or elevated on presentation due to acidosis-driven transcellular shift. Insulin therapy and fluid resuscitation will drive potassium back into cells, sometimes precipitously — intravenous potassium replacement is typically initiated before insulin if serum potassium is below 3.5 mEq/L. Phosphate, magnesium, and sodium levels similarly require serial monitoring. This calculator serves as a rapid computational aid for the key derived metrics that guide these clinical decisions.

DKA calculator examples

Four clinical scenarios illustrating normal values and escalating DKA severity.

Patient ParametersDKA SeverityKey Findings
Na 140, K 4.0, Cl 102, HCO₃ 24, Glucose 100, BUN 15, pH 7.4No DKAGlucose ≤ 250 classifies as No DKA. Anion gap = 14 (Na − Cl − HCO₃ without K); slightly above the 8–12 reference but glucose criterion prevents DKA classification.
Na 138, K 4.2, Cl 100, HCO₃ 18, Glucose 350, BUN 18, pH 7.30Mild DKAElevated anion gap 20, mild HCO₃ reduction, glucose > 250. pH at lower boundary of mild.
Na 135, K 4.8, Cl 95, HCO₃ 12, Glucose 500, BUN 25, pH 7.20Moderate DKAAnion gap 28, significantly reduced HCO₃, glucose markedly elevated, pH 7.20.
Na 130, K 5.5, Cl 90, HCO₃ 8, Glucose 650, BUN 35, pH 7.10Severe DKASevere anion gap 32, critical HCO₃ < 10, profound acidosis (pH < 7.10), hyperglycaemia.

How to use the DKA calculator

  1. Enter the patient's electrolyte values: sodium, potassium, chloride, and bicarbonate — all in mEq/L.
  2. Enter glucose in mg/dL and BUN in mg/dL from the same blood draw.
  3. Optionally enter arterial or venous pH and/or measured serum osmolality for additional derived metrics.
  4. Click 'Calculate' to see the anion gap, delta ratio, corrected sodium, calculated osmolality, and DKA severity classification.
  5. Use the severity result alongside pH, clinical signs, and urine/blood ketones to guide treatment decisions per your institution's DKA protocol.

DKA calculator FAQ

What is the anion gap and why does it matter in DKA?
The anion gap (AG) is the difference between measured cations (sodium) and measured anions (chloride + bicarbonate): AG = Na − (Cl + HCO₃). A normal AG is 8–12 mEq/L. In DKA, ketoacid accumulation raises the AG because the unmeasured ketone anions (beta-hydroxybutyrate, acetoacetate) are not measured but replace bicarbonate, widening the gap. An AG > 12 strongly supports high-anion-gap metabolic acidosis consistent with DKA.
How is DKA severity classified?
The American Diabetes Association classifies DKA into three severity grades based on blood glucose, blood pH, and serum bicarbonate. Mild DKA: glucose > 250 mg/dL, pH 7.25–7.30, HCO₃ 15–18 mEq/L. Moderate: glucose > 250, pH 7.00–7.24, HCO₃ 10–14 mEq/L. Severe: glucose > 250, pH < 7.00, HCO₃ < 10 mEq/L. When pH is not provided, this calculator uses the bicarbonate and glucose to estimate severity.
What is the delta ratio and how is it interpreted?
The delta ratio compares the rise in anion gap above normal (AG − 12) with the fall in bicarbonate below normal (24 − HCO₃). A ratio of 1–2 suggests a pure high-AG metabolic acidosis. A ratio < 1 indicates a concurrent normal-AG (hyperchloremic) acidosis, while a ratio > 2 suggests a pre-existing metabolic alkalosis is masking the bicarbonate drop. It helps detect mixed acid-base disorders that complicate clinical management.
Why is corrected sodium important in DKA?
Hyperglycaemia causes an osmotic shift of water from cells into the intravascular space, diluting serum sodium. The corrected sodium formula (measured Na + 1.6 × [glucose − 100] / 100) estimates the true sodium concentration that would exist if glucose were normal. This matters because apparent hyponatraemia in DKA is often pseudohyponatraemia; after insulin therapy lowers glucose, sodium will rise and may reveal hypernatraemia requiring careful fluid management.
What is the osmolal gap?
The osmolal gap is the difference between measured serum osmolality and calculated osmolality (2 × Na + Glucose/18 + BUN/2.8). A gap > 10 mOsm/kg suggests the presence of unmeasured osmoles such as ethanol, methanol, ethylene glycol, or mannitol. In DKA, an elevated osmolal gap may indicate concomitant alcohol ingestion or toxic alcohol poisoning, which substantially alters management.
Can this calculator replace clinical assessment?
No. This tool is a rapid computational aid for bedside calculations that are otherwise performed manually. Clinical management of DKA requires continuous reassessment of mental status, fluid balance, urine output, cardiac monitoring, and serial laboratory values every 1–4 hours. Always apply results within the full clinical context and follow your institution's DKA treatment protocol or relevant specialty guidelines.