Hematology · LIVE
Absolute neutrophil count (ANC)
ANC
Compute absolute neutrophil count from WBC and neutrophil plus band percents, plus a Bodey 1966 granulocyte band.
Markdown: /docs/anc.md · Canonical: https://magentlab.com/docs/anc
Not a medical device. Not a diagnosis, dose, or listing recommendation.
What it computes
Compute absolute neutrophil count from WBC and neutrophil plus band percents, plus a Bodey 1966 granulocyte band.
When to use
When an agent needs ANC from a CBC differential and must not invent cells/µL.
When not to use
- Not a diagnosis. Bodey bands are granulocyte strata from acute-leukemia hospital days, not a febrile-neutropenia treatment plan.
- Does not convert a three-part differential or an absolute neutrophil count already reported by the lab.
Formula
ANC_per_uL = wbc_per_uL * (neutrophil_percent + band_percent) / 100
Citation
- Authors
- Bodey GP, Buckley M, Sathe YS, Freireich EJ
- Source
- Ann Intern Med. 1966;64(2):328-340
Worked example
6.0 K/µL, 50% segs, 3% bands
Given:
band_percent=3neutrophil_percent=50wbc_k_ul=6.0
- wbc_per_uL = 6.0 × 1000 = 6000
- fraction = (50 + 3) / 100 = 0.53
- ANC = 6000 × 0.53 = 3180
- Bodey band >1500
Also searched as
- absolute neutrophil count
- ANC
- neutropenia count
- segs and bands
- granulocyte count
Try
Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.
/api/calc/anc?wbc_k_ul=6.0&neutrophil_percent=50&band_percent=3
Full URL: https://api.magentlab.com/api/calc/anc?wbc_k_ul=6.0&neutrophil_percent=50&band_percent=3
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/anc?wbc_k_ul=6.0&neutrophil_percent=50&band_percent=3"
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
wbc_k_ul |
number | optional | WBC in 10^3/µL (same as 10^9/L). Provide wbc_k_ul or wbc_ul. Range 0.01-500. |
wbc_ul |
number | optional | WBC in cells/µL (same as cells/mm^3). Provide wbc_k_ul or wbc_ul. Range 10-500000. |
neutrophil_percent |
number | required | Segmented neutrophils / PMNs as a percent of WBC (0-100). |
band_percent |
number | optional | Band neutrophils as a percent of WBC (0-100). Omitted treats bands as 0. segs+bands must be ≤100. |
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": [
{
"band_percent": "3",
"neutrophil_percent": "50",
"wbc_k_ul": "6.0"
},
{
"band_percent": "3",
"neutrophil_percent": "50",
"wbc_k_ul": "6.0"
}
]
}
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/anc",
"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": "Bodey GP, Buckley M, Sathe YS, Freireich EJ",
"doi": "10.7326/0003-4819-64-2-328",
"id": "bodey-1966",
"source": "Ann Intern Med. 1966;64(2):328-340",
"title": "Quantitative relationships between circulating leukocytes and infection in patients with acute leukemia"
},
"formula": "anc",
"formula_expression": "ANC_per_uL = wbc_per_uL * (neutrophil_percent + band_percent) / 100",
"wbc_per_ul": 6.0e3,
"anc_per_ul": 3180,
"band_percent": 3.0,
"bodey_granulocyte_band": ">1500",
"neutrophil_percent": 50.0
},
{
"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": "Bodey GP, Buckley M, Sathe YS, Freireich EJ",
"doi": "10.7326/0003-4819-64-2-328",
"id": "bodey-1966",
"source": "Ann Intern Med. 1966;64(2):328-340",
"title": "Quantitative relationships between circulating leukocytes and infection in patients with acute leukemia"
},
"formula": "anc",
"formula_expression": "ANC_per_uL = wbc_per_uL * (neutrophil_percent + band_percent) / 100",
"wbc_per_ul": 6.0e3,
"anc_per_ul": 3180,
"band_percent": 3.0,
"bodey_granulocyte_band": ">1500",
"neutrophil_percent": 50.0
}
]
}
Response
| Field | Type | Description |
|---|---|---|
formula |
string | anc |
formula_expression |
string | Exact expression used |
wbc_per_ul |
number | Normalized WBC in cells/µL |
neutrophil_percent |
number | Segmented neutrophil percent used |
band_percent |
number | Band percent used (0 when omitted) |
anc_per_ul |
integer | Absolute neutrophil count in cells/µL |
bodey_granulocyte_band |
string | Bodey 1966 granulocyte strata (cells/mm^3 = cells/µL): <100, 100-500, 500-1000, 1000-1500, >1500. Not a diagnosis. |
citation |
object | Ann Intern Med 1966 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": "Bodey GP, Buckley M, Sathe YS, Freireich EJ",
"doi": "10.7326/0003-4819-64-2-328",
"id": "bodey-1966",
"source": "Ann Intern Med. 1966;64(2):328-340",
"title": "Quantitative relationships between circulating leukocytes and infection in patients with acute leukemia"
},
"formula": "anc",
"formula_expression": "ANC_per_uL = wbc_per_uL * (neutrophil_percent + band_percent) / 100",
"wbc_per_ul": 6.0e3,
"anc_per_ul": 3180,
"band_percent": 3.0,
"bodey_granulocyte_band": ">1500",
"neutrophil_percent": 50.0
}
Client errors (HTTP 400)
Invalid params return 400 without charge. Shared HTTP 402 and 503 meanings: Payments.
| HTTP | Code | When |
|---|---|---|
| 400 | invalid_wbc |
wbc_k_ul (0.01-500) or wbc_ul (10-500000) is required Returned before settlement; you are not charged. |
| 400 | invalid_neutrophil_percent |
neutrophil_percent must be a number from 0 to 100 Returned before settlement; you are not charged. |
| 400 | invalid_band_percent |
band_percent must be a number from 0 to 100 Returned before settlement; you are not charged. |
| 400 | invalid_differential |
neutrophil_percent + band_percent must be 0 to 100 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
- Mosteller BSA — Agents must not invent BSA from model memory. This endpoint computes published Mosteller body surface area in m^2 from height and weight; pay per request with x402 USDC on Base.
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. HTTP 402 never includes the tool JSON.
- 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.