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Adrogué–Madias Serum Sodium Change Calculator
x402
Adrogué–Madias Serum Sodium Change 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 the predicted change in serum sodium concentration after infusing 1 liter of a given fluid, using the Adrogué–Madias formula with population-appropriate total body water fractions.
Price / call$0.005
Success—
StatusUnknown
How this service works
Adrogué–Madias change in serum sodium after 1 L of infusate from TBW (child 0.6; adult male 0.6; adult female 0.5; elderly male 0.5; elderly female 0.45) and infusate Na plus K. Deterministic published arithmetic with citation; not a correction-rate order or infusion protocol.
Output
Returns the predicted delta in serum sodium (mmol/L) that would result from infusing exactly 1 liter of the specified fluid, calculated using the Adrogué–Madias equation with the appropriate total body water fraction for the patient's age, sex, and pediatric status. The result is a deterministic arithmetic output based on the published formula, not a clinical dosing recommendation.
Example use cases
Hyponatremia correction planning in ICU
“My ICU patient is a 65-year-old male weighing 80 kg with serum sodium of 122 mmol/L. How much will his sodium change per liter of 3% NaCl (513 mmol/L Na, no potassium added)?”
Pediatric hyponatremia with normal saline
“I have a 10-year-old child, 32 kg, with serum sodium of 128 mmol/L. Using the Adrogué–Madias formula, what sodium change would I expect from 1 liter of 0.9% normal saline (154 mmol/L Na)?”
Hypernatremia correction with free water
“Estimate the serum sodium change per liter of D5W (0 mmol/L sodium, 0 potassium) in a 75-year-old female weighing 55 kg with current sodium of 158 mmol/L — she is not pediatric.”
Technical details
Endpoint
GEThttps://api.magentlab.com/api/calc/adrogue_madiasWhen to prefer
Use this endpoint when you need a fast, deterministic Adrogué–Madias sodium change calculation with explicit support for different TBW fractions (child 0.6, adult male 0.6, adult female 0.5, elderly male 0.5, elderly female 0.45) and the ability to include potassium in the infusate. Prefer this over manual calculation when integrating clinical decision support into an automated workflow. It is not a correction-rate protocol or infusion order — it is a single-step arithmetic computation per the published citation.
Side effects
- Missing required parameters (sodium_mmol_l, infusate_na_mmol_l, sex, age, pediatric) return a 400 validation error
- Serum sodium outside the valid range 90–190 mmol/L is rejected
- Infusate sodium outside 0–1000 mmol/L or potassium outside 0–200 mmol/L is rejected
- Age outside the valid range for the chosen pediatric flag (e.g. age 5 with pediatric=false) causes a validation error
- Missing weight (neither weight_kg nor weight_lb provided) returns an error
- Payment not included or insufficient USDC balance causes 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/adrogue_madias",
"count": 2,
"items": [
{
"sex": "female",
"tbw_l": 35,
"formula": "adrogue_madias",
"citation": {
"id": "adrogue-madias-2000",
"doi": "10.1056/NEJM200005253422107",
"title": "Hyponatremia",
"source": "N Engl J Med. 2000;342(21):1581-1589",
"authors": "Adrogué HJ, Madias NE"
},
"age_years": 40,
"pediatric": false,
"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.",
"tbw_fraction": 0.5,
"sodium_mmol_l": 110,
"delta_na_mmol_l": 11.2,
"infusate_k_mmol_l": 0,
"formula_expression": "delta_na_mmol_l = (infusate_na_mmol_l + infusate_k_mmol_l - sodium_mmol_l) / (tbw_l + 1); tbw_l = tbw_fraction * weight_kg",
"infusate_na_mmol_l": 513
},
{
"sex": "female",
"tbw_l": 35,
"formula": "adrogue_madias",
"citation": {
"id": "adrogue-madias-2000",
"doi": "10.1056/NEJM200005253422107",
"title": "Hyponatremia",
"source": "N Engl J Med. 2000;342(21):1581-1589",
"authors": "Adrogué HJ, Madias NE"
},
"age_years": 40,
"pediatric": false,
"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.",
"tbw_fraction": 0.5,
"sodium_mmol_l": 110,
"delta_na_mmol_l": 11.2,
"infusate_k_mmol_l": 0,
"formula_expression": "delta_na_mmol_l = (infusate_na_mmol_l + infusate_k_mmol_l - sodium_mmol_l) / (tbw_l + 1); tbw_l = tbw_fraction * weight_kg",
"infusate_na_mmol_l": 513
}
]
}
}Tags
x402
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