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Magent Free Water Deficit Calculator
x402
Magent Free Water Deficit Calculator is a paid API for AI agents from api.magentlab.com, paid per call via x402, $0.005/call, status unknown (last checked 2026-09-15).
Calculates free water deficit from patient weight, sex, and measured serum sodium using the Adrogué–Madias TBW formula
Price / call$0.005
Success—
StatusUnknown
How this service works
Free water deficit from weight, sex, and measured Na using Adrogué–Madias TBW (0.6 male / 0.5 female). Deterministic published arithmetic with citation; not a water-replacement infusion protocol.
Output
Returns the computed free water deficit in liters based on Adrogué–Madias total body water fractions (0.6 × weight for males, 0.5 × weight for females), the measured serum sodium, and the desired target sodium. Includes the arithmetic breakdown and citation. Does not provide an infusion rate or replacement protocol.
Example use cases
ICU hypernatremia workup
“My ICU patient is a 65 kg female with a serum sodium of 162 mmol/L. What's her free water deficit using the Adrogué–Madias formula, targeting sodium of 140?”
ED hypernatremia triage
“Quick calc: male patient, 195 lbs, sodium came back at 152 mmol/L — what's the free water deficit?”
Nephrology consult documentation
“I need the Adrogué–Madias free water deficit for a 90 kg male with sodium of 168 mmol/L so I can document it in the consult note.”
Technical details
Endpoint
GEThttps://api.magentlab.com/api/calc/free_water_deficitWhen to prefer
Use this endpoint when you need a deterministic, citation-backed Adrogué–Madias free water deficit calculation for a hypernatremic patient and only have weight, sex, and serum sodium available. Prefer this over general clinical decision support tools when you need reproducible arithmetic tied to a published formula rather than an advisory system or infusion protocol generator.
Side effects
- Missing required parameters (sex or sodium_mmol_l) returns a 400-level error
- Sodium value outside hypernatremic range (below 146 mmol/L) may be rejected or flagged as out-of-range
- Weight not provided (neither weight_kg nor weight_lb) causes calculation failure
- Desired sodium >= measured sodium returns an error since no deficit exists
- Payment not included or insufficient USDC returns a 402 Payment Required response
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Output
Schema · Response
{
"type": "json",
"example": {
"path": "/api/calc/free_water_deficit",
"count": 2,
"items": [
{
"sex": "male",
"tbw_l": 42,
"formula": "adrogue_madias",
"citation": {
"id": "adrogue-madias-hypernatremia-2000",
"doi": "10.1056/NEJM200005183422006",
"title": "Hypernatremia",
"source": "N Engl J Med. 2000;342(20):1493-1499",
"authors": "Adrogué HJ, Madias NE"
},
"weight_kg": 70,
"disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.",
"sodium_mmol_l": 160,
"desired_na_mmol_l": 140,
"formula_expression": "TBW_L = 0.6 * weight_kg (male) or 0.5 * weight_kg (female); free_water_deficit_l = TBW_L * (sodium_mmol_l / desired_na_mmol_l - 1)",
"free_water_deficit_l": 6
},
{
"sex": "male",
"tbw_l": 42,
"formula": "adrogue_madias",
"citation": {
"id": "adrogue-madias-hypernatremia-2000",
"doi": "10.1056/NEJM200005183422006",
"title": "Hypernatremia",
"source": "N Engl J Med. 2000;342(20):1493-1499",
"authors": "Adrogué HJ, Madias NE"
},
"weight_kg": 70,
"disclaimer": "Not a medical device. Deterministic published-formula or published-code output for autonomous agents. A licensed clinician remains responsible for patient care and billing submissions.",
"sodium_mmol_l": 160,
"desired_na_mmol_l": 140,
"formula_expression": "TBW_L = 0.6 * weight_kg (male) or 0.5 * weight_kg (female); free_water_deficit_l = TBW_L * (sodium_mmol_l / desired_na_mmol_l - 1)",
"free_water_deficit_l": 6
}
]
}
}Tags
x402
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