Body size · LIVE
Nadler blood volume
Compute Nadler 1962 predicted blood volume in liters and milliliters from height, weight, and sex.
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
- 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
- H = 170 / 100 = 1.7 m; H^3 = 4.913
- BV_L = 0.3669 * 4.913 + 0.03219 * 70 + 0.6041 = 4.660 L
- 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.
- 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"
}
]
}
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.