# Magent Sodium Deficit Calculator (Adrogué–Madias) > Magent Sodium Deficit Calculator (Adrogué–Madias) 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 sodium deficit in mmol using the Adrogué–Madias total body water formula based on patient sex, weight, and measured serum sodium. ## Facts - Endpoint: GET https://api.magentlab.com/api/calc/sodium_deficit - Price: $0.005/call - Payment: x402 - Status: unknown - Last checked: 2026-09-15 - Activations on Zero: 0 - Tags: x402 - Canonical page: https://www.zero.xyz/c/magent-sodium-deficit-calculator-adrogu-madias-2a773aff - Structured record (JSON): https://api.zero.xyz/v1/capabilities/cap_ob6XPaRAHnaycT24Z59T5 Status and success rate cover calls made through Zero and Zero's own probes. Third-party monitors may report differently. ## How to call it through Zero Zero handles the 402 payment challenge and records the run. With the Zero CLI installed (`npm i -g @zeroxyz/cli`): ```sh zero fetch --capability magent-sodium-deficit-calculator-adrogu-madias-2a773aff ``` Example prompt: Calculate the sodium deficit for a male patient weighing 80 kg with a measured serum sodium of 118 mmol/L targeting 130 mmol/L, using the Adrogué–Madias method. ## When to prefer this Use this endpoint when you need a deterministic, citation-backed sodium deficit calculation using the Adrogué–Madias TBW formula for hyponatremic patients. Prefer this over manual calculation when integrating into clinical decision-support workflows or documentation pipelines where formula accuracy and provenance matter. This is a pure arithmetic endpoint — not a treatment protocol or infusion rate calculator. ## Known failure modes - Missing required sex or sodium_mmol_l parameters returns a 400 error - Serum sodium outside the valid hyponatremia range (90–135 mmol/L) may return a validation error - Neither weight_kg nor weight_lb provided may result in a missing weight error - Target sodium below measured sodium returns an error (target must exceed measured Na) - Target sodium outside 120–150 mmol/L range may be rejected ## How this service works Sodium deficit from weight, sex, and measured Na using Adrogué–Madias TBW (0.6 male / 0.5 female). Deterministic published arithmetic with citation; not a sodium infusion protocol. ## Output Returns the calculated sodium deficit in mmol based on Adrogué–Madias total body water (0.6 × weight for males, 0.5 × weight for females), the measured serum sodium, and the target serum sodium (default 140 mmol/L), along with a citation to the published formula. ## Request schema (JSON Schema) ```json { "type": "object", "$schema": "https://json-schema.org/draft/2020-12/schema", "required": [ "input" ], "properties": { "input": { "type": "object", "required": [ "type", "method" ], "properties": { "type": { "type": "string", "const": "http" }, "method": { "enum": [ "GET", "HEAD", "DELETE" ], "type": "string" }, "headers": { "type": "object", "additionalProperties": { "type": "string" } }, "queryParams": { "type": "object", "required": [ "sex", "sodium_mmol_l" ], "properties": { "sex": { "enum": [ "female", "male" ], "type": "string", "description": "Sex used for TBW: 0.6 × weight (male) or 0.5 × weight (female)." }, "weight_kg": { "type": "number", "description": "Weight in kilograms. Provide weight_kg or weight_lb." }, "weight_lb": { "type": "number", "description": "Weight in pounds. Converted as kg = lb * 0.45359237." }, "sodium_mmol_l": { "type": "number", "description": "Measured serum sodium in mmol/L. Range 90-135 (hyponatremia)." }, "desired_na_mmol_l": { "type": "number", "description": "Target serum sodium in mmol/L (120-150), must exceed measured Na. Omitted uses 140." } } } }, "additionalProperties": false }, "output": { "type": "object", "required": [ "type" ], "properties": { "type": { "type": "string" }, "example": { "type": "object" } } } } } ``` ## Response schema (JSON Schema) ```json { "type": "json", "example": { "path": "/api/calc/sodium_deficit", "count": 2, "items": [ { "sex": "male", "tbw_l": 42, "formula": "adrogue_madias", "citation": { "id": "adrogue-madias-hyponatremia-2000", "doi": "10.1056/NEJM200005253422107", "title": "Hyponatremia", "source": "N Engl J Med. 2000;342(21):1581-1589", "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": 120, "desired_na_mmol_l": 140, "formula_expression": "TBW_L = 0.6 * weight_kg (male) or 0.5 * weight_kg (female); sodium_deficit_mmol = TBW_L * (desired_na_mmol_l - sodium_mmol_l)", "sodium_deficit_mmol": 840 }, { "sex": "male", "tbw_l": 42, "formula": "adrogue_madias", "citation": { "id": "adrogue-madias-hyponatremia-2000", "doi": "10.1056/NEJM200005253422107", "title": "Hyponatremia", "source": "N Engl J Med. 2000;342(21):1581-1589", "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": 120, "desired_na_mmol_l": 140, "formula_expression": "TBW_L = 0.6 * weight_kg (male) or 0.5 * weight_kg (female); sodium_deficit_mmol = TBW_L * (desired_na_mmol_l - sodium_mmol_l)", "sodium_deficit_mmol": 840 } ] } } ``` ## More - Live health (JSON, refreshed every minute): https://www.zero.xyz/c/magent-sodium-deficit-calculator-adrogu-madias-2a773aff/health.json - [Zero catalog index](https://www.zero.xyz/llms.txt) - [Other services from api.magentlab.com](https://www.zero.xyz/host/api.magentlab.com/llms.txt)