MAGENT

Body size · LIVE

Nadler blood volume

Compute Nadler 1962 predicted blood volume in liters and milliliters from height, weight, and sex.

LIVE $0.005 USDC GET /api/calc/nadler

Markdown: /docs/nadler.md · Canonical: https://magentlab.com/docs/nadler

Not a medical device. Not a diagnosis, dose, or listing recommendation.

What it computes

Compute Nadler 1962 predicted blood volume in liters and milliliters from height, weight, and sex.

When to use

When an agent needs published Nadler blood volume and must not invent liters, apply 70 mL/kg, or silently use Lemmens–Bernstein–Brodsky.

When not to use

  • Adults as published. Nadler 1962 did not take age; this tool does not take age.
  • Not a transfusion order. magent does not choose a product, rate, or threshold.
  • Nadler 1962 only. Not Lemmens–Bernstein–Brodsky and not a 70 mL/kg rule of thumb.

Formula

BV_L = 0.3669 * H^3 + 0.03219 * W + 0.6041 (male); BV_L = 0.3561 * H^3 + 0.03308 * W + 0.1833 (female); H meters, W kg

Citation

Title
Prediction of blood volume in normal human adults
Authors
Nadler SB, Hidalgo JH, Bloch T
Source
Surgery. 1962;51(2):224-232
DOI
none

Worked example

Male 170 cm, 70 kg

Given: height_cm=170sex=maleweight_kg=70

  1. H = 170 / 100 = 1.7 m; H^3 = 4.913
  2. BV_L = 0.3669 * 4.913 + 0.03219 * 70 + 0.6041 = 4.660 L
  3. blood_volume_ml = round(4.660 * 1000) = 4660 mL

Also searched as

  • Nadler blood volume
  • estimated blood volume
  • EBV Nadler
  • predicted blood volume
  • Nadler formula
  • blood volume liters
  • male female blood volume

Try

Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.

/api/calc/nadler?height_cm=170&weight_kg=70&sex=male

Full URL: https://api.magentlab.com/api/calc/nadler?height_cm=170&weight_kg=70&sex=male

Call

Expect HTTP 402 until you retry with PAYMENT-SIGNATURE. Incomplete query params return HTTP 400 before any quote or charge.

curl -i -H "Accept: application/json" "https://api.magentlab.com/api/calc/nadler?height_cm=170&weight_kg=70&sex=male"

Parameters

Name Type Required Description
height_cm number optional Height in centimeters. Provide height_cm or height_in.
height_in number optional Height in inches. Converted as cm = in * 2.54.
weight_kg number optional Weight in kilograms. Provide weight_kg or weight_lb.
weight_lb number optional Weight in pounds. Converted as kg = lb * 0.45359237.
sex string required · female, male Sex used by Nadler 1962 (separate male and female equations).

Bulk (POST)

POST the same path with a JSON items array. The first item is the GET unit; each additional item is $0.002. Invalid items return HTTP 400 before settlement.

POST /api/calc/nadler Max 25 unit_amount + extra_item_amount * (n - 1) extra $0.002 PREVIEW

  • 1 to 25 items. Each item uses the same keys as the GET query parameters.
  • POST of 1 item costs the same as GET. Lists longer than 25: chunk into multiple POSTs. Extra items still execute; do not pad dummy rows.
  • The first invalid item fails the whole request (index in the 400 JSON). You are not charged.
  • HTTP 200 is {count, path, items}. Each items[i] is the GET 200 body for that row.
  • Catalog misses (empty matches, found=false) stay paid 200s inside that slot.
  • x402 resource URL is this path plus n and body_sha256. Browsers that prefer text/html get the same paywall as GET; Pay retries POST with the same items.

Example request (fixture)

{
  "items": [
    {
      "height_cm": "170",
      "sex": "male",
      "weight_kg": "70"
    },
    {
      "height_cm": "170",
      "sex": "male",
      "weight_kg": "70"
    }
  ]
}

Open bulk paywall →

Opens a two-item fixture on the API host. Unpaid browsers get the same MetaMask paywall as GET; Pay retries POST with those items.

Example 200 (fixture)

{
  "count": 2,
  "path": "/api/calc/nadler",
  "items": [
    {
      "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.",
      "citation": {
        "authors": "Nadler SB, Hidalgo JH, Bloch T",
        "id": "nadler-1962",
        "pmid": "21936146",
        "source": "Surgery. 1962;51(2):224-232",
        "title": "Prediction of blood volume in normal human adults"
      },
      "formula": "nadler",
      "formula_expression": "BV_L = 0.3669 * H^3 + 0.03219 * W + 0.6041 (male); BV_L = 0.3561 * H^3 + 0.03308 * W + 0.1833 (female); H meters, W kg",
      "sex": "male",
      "weight_kg": 70.0,
      "height_cm": 170.0,
      "blood_volume_l": 4.66,
      "blood_volume_ml": 4660
    },
    {
      "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.",
      "citation": {
        "authors": "Nadler SB, Hidalgo JH, Bloch T",
        "id": "nadler-1962",
        "pmid": "21936146",
        "source": "Surgery. 1962;51(2):224-232",
        "title": "Prediction of blood volume in normal human adults"
      },
      "formula": "nadler",
      "formula_expression": "BV_L = 0.3669 * H^3 + 0.03219 * W + 0.6041 (male); BV_L = 0.3561 * H^3 + 0.03308 * W + 0.1833 (female); H meters, W kg",
      "sex": "male",
      "weight_kg": 70.0,
      "height_cm": 170.0,
      "blood_volume_l": 4.66,
      "blood_volume_ml": 4660
    }
  ]
}

Response

Field Type Description
formula string nadler
formula_expression string Exact male and female expressions
sex string female or male
height_cm number Normalized height in cm
weight_kg number Normalized weight in kg
blood_volume_l number Predicted blood volume in liters, 3 decimals
blood_volume_ml integer Predicted blood volume in milliliters, integer
citation object Nadler Surgery 1962 citation
disclaimer string Not-a-device notice

Example JSON

Machine form of the same example. Frozen fixture. Not a live lookup.

{
  "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.",
  "citation": {
    "authors": "Nadler SB, Hidalgo JH, Bloch T",
    "id": "nadler-1962",
    "pmid": "21936146",
    "source": "Surgery. 1962;51(2):224-232",
    "title": "Prediction of blood volume in normal human adults"
  },
  "formula": "nadler",
  "formula_expression": "BV_L = 0.3669 * H^3 + 0.03219 * W + 0.6041 (male); BV_L = 0.3561 * H^3 + 0.03308 * W + 0.1833 (female); H meters, W kg",
  "sex": "male",
  "weight_kg": 70.0,
  "height_cm": 170.0,
  "blood_volume_l": 4.66,
  "blood_volume_ml": 4660
}

Client errors (HTTP 400)

Invalid params return 400 without charge. Shared HTTP 402 and 503 meanings: Payments.

HTTP Code When
400 invalid_height height_cm (50-250) or height_in (20-98) is required Returned before settlement; you are not charged.
400 invalid_weight weight_kg (1-500) or weight_lb (2-1100) is required Returned before settlement; you are not charged.
400 invalid_sex sex must be female or male Returned before settlement; you are not charged.
400 invalid_items POST body must be a JSON object with only an items array Returned before settlement; you are not charged.
400 invalid_item_count items must be an array of 1 to 25 objects Returned before settlement; you are not charged.
400 invalid_item each items entry must be a JSON object Returned before settlement; you are not charged.

Related tools

  • BMI — Compute Keys/Quetelet body-mass index from height and weight, plus a WHO adult band.
  • Devine IBW — Compute Devine ideal body weight and 0.4 adjusted body weight from height, sex, and actual weight.
  • Mosteller BSA — Compute Mosteller body surface area in m^2 from height and weight.

Payment

Unpaid requests return HTTP 402 even if query parameters or POST items are missing or invalid, so CDP and agents can index the path. After a PAYMENT-SIGNATURE, invalid params return HTTP 400 JSON before settlement. magent does not charge. Fix the params, then request a new 402 quote for that complete URL. Catalog misses (empty matches, found=false) are valid paid 200s. Unpaid valid requests return HTTP 402 with a base64 PAYMENT-REQUIRED header. HTTP 503 is not a new quote: retry the same PAYMENT-SIGNATURE. Full handshake and shared payment errors: Payments. Stdio MCP: /docs/mcp.

Guarantees

  • HTTP 402 is unpaid, including a missing query. After PAYMENT-SIGNATURE, invalid parameters return HTTP 400 before settlement. You are not charged.
  • exact: settlement finishes before the tool (paymentFlow upfront). batch-settlement: verify/deposit before the tool; chargedCumulativeAmount commits after HTTP 2xx. Uncertain or failed settlement fails closed (HTTP 503). Retry the same PAYMENT-SIGNATURE.
  • HTTP 402 is unpaid only. Do not sign a second authorization because of a 503.
  • Execution is timeout-bounded and concurrency-capped.
  • Calculator inputs are stored encrypted for allowlisted operators (Magent Console). They are not in public logs, SSH lookups, catalog, or rollups. Request logs store path without query.