Estimate free water deficit for hypernatremia review with a TBW-based formula and Adrogue-Madias-style worksheet context for fluid planning.
Hypernatremia (serum sodium > 145 mEq/L) indicates a deficit of water relative to sodium, most commonly from inadequate water intake in patients who cannot drink independently — the elderly, obtunded, intubated, or cognitively impaired. The free water deficit formula estimates the volume of electrolyte-free water needed to restore serum sodium to normal by calculating the excess sodium load in total body water.
The critical safety concern in hypernatremia correction is the rate of correction. The brain adapts to chronic hypernatremia by generating intracellular osmolytes (idiogenic osmoles) over 24-48 hours. Rapid correction — dropping sodium faster than 10-12 mEq/L per 24 hours — can cause water to shift into brain cells faster than osmolytes can dissipate, resulting in cerebral edema, seizures, permanent neurological damage, or death. For chronic hypernatremia, the correction rate should not exceed 0.5 mEq/L per hour.
This calculator uses the standard free water deficit formula with age/sex/habitus-specific total body water fractions, applies the Adrogue-Madias formula to calculate the sodium change per liter of each fluid type, and generates a safe correction plan with specific IV rates, recheck intervals, and target sodium at each time point. It supports D5W, half-normal saline, quarter-normal saline, and oral free water.
Hypernatremia is easier to review when the estimated free-water deficit, the intended sodium target, and the chosen fluid are kept in one worksheet. This page helps organize those pieces, but the rate and fluid plan still need to be checked against the patient’s volume status, ongoing losses, and the surrounding clinical context.
TBW = Weight × TBW fraction (0.40-0.65 depending on sex, age, habitus) Free water deficit = TBW × [(Na_current / Na_target) - 1] Adrogue-Madias: ΔNa per 1L infusate = (Infusate Na - Serum Na) / (TBW + 1) Correction rate: ≤ 10-12 mEq/L per 24h (≤ 0.5 mEq/L per hour for chronic)
Result: Free water deficit 4.2 L, Safe rate ~87 mL/hr D5W for first 24h
TBW = 65 × 0.50 (elderly male) = 32.5 L. Free water deficit = 32.5 × (158/140 - 1) = 32.5 × 0.129 = 4.2 L. Adrogue-Madias: ΔNa per 1L D5W = (0 - 158)/(32.5 + 1) = -4.7 mEq/L per liter. To lower Na by 10 mEq/L in 24h: need 10/4.7 = 2.1 L over 24h = 87 mL/hr. Target Na at 24h: 148 mEq/L.
The calculated free-water deficit is an estimate of how much electrolyte-free water would be needed to move the current sodium concentration back toward the chosen target if the patient were otherwise stable. It is a starting frame for review, not the entire treatment plan.
Urine output, insensible losses, GI losses, and diabetes insipidus can change the sodium trajectory quickly. A technically correct static deficit can still mislead if the patient continues to lose water after the initial lab draw.
Hypernatremia management is usually iterative. The estimated deficit helps choose an initial approach, but repeat sodium checks and reassessment of fluid balance determine whether the pace is appropriate or needs to be slowed, accelerated, or re-framed entirely.
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This calculator estimates total body water from the entered demographics, calculates the free-water deficit against the chosen sodium target, and uses an Adrogue-Madias-style change-in-sodium approximation to show how different fluids may move the serum sodium over time. It presents that as a planning worksheet rather than as a stand-alone order set.
The result does not account for every ongoing loss or every clinical constraint automatically. Volume status, diabetes insipidus, osmotic diuresis, hyperglycemia, renal replacement therapy, and other factors can change the actual correction path materially.
In chronic hypernatremia (>48 hours), brain cells accumulate intracellular osmolytes (taurine, glutamine, sorbitol, myo-inositol) to prevent cellular dehydration. Rapid lowering of serum sodium causes water to rush into cells before these osmolytes can be cleared, causing cerebral edema. This is the reverse mechanism of osmotic demyelination in hyponatremia correction.
D5W (dextrose 5% water) provides pure free water after the glucose is metabolized and is the standard for IV correction. Half-normal saline (0.45% NS) is less hypotonic and may be preferred if the patient also has volume depletion. Oral free water (or NG tube) is ideal for chronic, mild hypernatremia in patients who can tolerate enteral intake.
No. The formula calculates the static deficit at the time of measurement. Ongoing insensible losses (~800 mL/day), urinary losses, and any pathological losses (diabetes insipidus, osmotic diuresis) must be added to the replacement volume. This is why serial Na monitoring every 4-6h is essential.
Use actual body weight but adjust the TBW fraction for body habitus. Obese patients have a lower TBW fraction (0.50 male / 0.40 female) because adipose tissue contains less water. Using an obese TBW fraction with actual weight provides a more accurate estimate than ideal body weight with a normal fraction.
Address hemodynamic instability first with isotonic saline (0.9% NS) for volume resuscitation — even though this is not free water. Once the patient is hemodynamically stable, switch to hypotonic fluids for sodium correction. Persistent hypotension suggests severe volume depletion may be the primary problem.
Suspect DI when the patient has polyuria (>3 L/day) with dilute urine (Osm < 300 mOsm/kg) in the setting of hypernatremia. Central DI responds to dDAVP (urine concentrates); nephrogenic DI does not. Check for recent neurosurgery, head trauma, lithium use, or hypercalcemia.