Estimate serum sodium change from IV fluid infusion using the Adrogue-Madias formula across common crystalloid and hypertonic fluids.
Managing sodium disorders often starts with estimating how a chosen intravenous fluid could shift the serum sodium. The Adrogue-Madias formula is the classic bedside estimate for the expected sodium change per liter of a given fluid. It uses the patient's total body water (TBW), the sodium concentration of the infusate, and the current serum sodium.
This calculator covers common IV fluids (D5W, quarter-normal, half-normal, normal saline, lactated Ringer's, Plasma-Lyte, 3% and 5% hypertonic saline) and allows a custom sodium concentration. It predicts the sodium change for a selected infusion volume, shows a volume-for-target table, and compares the estimate against common 24-hour correction limits.
Overcorrection of hyponatremia risks osmotic demyelination syndrome (ODS), while overly rapid hypernatremia correction risks cerebral edema. The calculator is best used as a worksheet: it shows the likely direction and size of change, but repeat labs and the bedside context still control the real plan.
IV fluid choice changes serum sodium in predictable but clinically important ways. This calculator keeps the fluid sodium, infusion volume, and current serum sodium together so the expected change can be checked before a fluid plan is adjusted.
Adrogue-Madias: ΔNa = (Infusate Na⁺ − Serum Na⁺) / (TBW + 1) per liter of infusate. TBW = body weight × factor (Male <65y: 0.6; Male ≥65y: 0.5; Female <65y: 0.5; Female ≥65y: 0.45). Total change = ΔNa × volume(L).
Result: ΔNa = +4.5 mEq/L; Predicted Na⁺ = 124.5 mEq/L
TBW = 70 × 0.6 = 42 L. ΔNa per liter = (513 − 120) / (42 + 1) = 9.14. For 500 mL: 9.14 × 0.5 = +4.57 mEq/L. That estimated change stays within the usual 24-hour worksheet limit for severe hyponatremia.
Hypertonic saline appears dramatic in the table because its sodium concentration is so high, not because the calculator is trying to issue a treatment instruction. The useful part of the worksheet is seeing how strongly a hypertonic fluid can move the projected sodium compared with isotonic or hypotonic options.
The Adrogue-Madias formula assumes a relatively closed system. Real patients are not closed systems. Urine output, potassium replacement, free-water intake, ongoing GI losses, and changing ADH physiology can all make the actual sodium change differ from the predicted one.
The three most frequent errors are: forgetting that the formula assumes no renal free-water excretion, not accounting for concurrent potassium replacement, and treating the first estimate like a promise instead of recalculating after follow-up labs.
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This worksheet estimates the expected sodium shift from a single infusion using the Adrogué-Madias framework and a TBW factor based on sex and age. It is intended for trend planning, not for replacing repeat labs or the clinical correction pathway.
It predicts the expected change in serum sodium per liter of IV fluid based on the difference between the infusate sodium and serum sodium, divided by total body water plus one. Published by Adrogue and Madias in 2000, it is the most widely used bedside formula for sodium management.
The +1 accounts for the volume of the infused liter itself distributing into total body water. Each liter of infusate expands the volume of distribution by approximately 1 liter.
For chronic hyponatremia (≥48h or unknown duration), many references use 8–10 mEq/L in 24 hours as the outer limit, with stricter caps in high-risk patients. Acute hyponatremia is often handled differently, which is why the calculator shows correction context but does not try to act as a protocol.
ODS (formerly central pontine myelinolysis) occurs when chronic hyponatremia is corrected too rapidly. Brain cells that adapted to low osmolality are suddenly surrounded by hypertonic extracellular fluid, causing demyelination. Symptoms (dysarthria, dysphagia, quadriparesis) appear 2–6 days after overcorrection.
The standard Adrogue-Madias formula does not include potassium. However, potassium is an effective osmole — giving KCl raises serum sodium similarly to NaCl. A modified version adds infusate K⁺ to Na⁺ in the numerator: ΔNa = (infusate Na + infusate K − serum Na) / (TBW + 1). Keep this in mind for patients receiving KCl simultaneously.
Studies show the formula overestimates sodium change by 15–20% in practice because it doesn't account for ongoing renal free water excretion, insensible losses, or potassium shifts. Always recheck sodium after each liter and recalculate. The formula is a guide, not a guarantee.