MAGENT

WEDGE

ANC

Compute absolute neutrophil count from WBC and neutrophil plus band percents, plus a Bodey 1966 granulocyte band.

WEDGE $0.005 USDC GET /api/calc/anc

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

Title
Quantitative relationships between circulating leukocytes and infection in patients with acute leukemia
Authors
Bodey GP, Buckley M, Sathe YS, Freireich EJ
Source
Ann Intern Med. 1966;64(2):328-340
DOI
10.7326/0003-4819-64-2-328

Worked example

6.0 K/µL, 50% segs, 3% bands

Given: band_percent=3neutrophil_percent=50wbc_k_ul=6.0

  1. wbc_per_uL = 6.0 × 1000 = 6000
  2. fraction = (50 + 3) / 100 = 0.53
  3. ANC = 6000 × 0.53 = 3180
  4. Bodey band >1500

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

x402 V2 curl

Expect HTTP 402 and a PAYMENT-REQUIRED header 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"

Cursor mcp.json

Intended config for @magent/mcp. This is not npm @x402/fetch (a payment fetch wrapper).

{
  "mcpServers": {
    "magent": {
      "args": [
        "-y",
        "@magent/mcp"
      ],
      "command": "npx",
      "env": {
        "X402_PRIVATE_KEY": "0xYOUR_SPENDING_KEY"
      }
    }
  }
}

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. Price is n times the GET unit. Invalid items return HTTP 400 before settlement.

POST /api/calc/anc Max 25 unit_amount * n PREVIEW

  • 1 to 25 items. Each item uses the same keys as the GET query parameters.
  • 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"
    }
  ]
}

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/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
}

Errors

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.
402 payment_required Missing or invalid PAYMENT-SIGNATURE; decode the PAYMENT-REQUIRED header
409 payment_in_progress The same authorization nonce is already being settled; retry shortly
429 rate_limited Too many requests from this client
503 settlement_uncertain Settlement is unconfirmed; retry with the same PAYMENT-SIGNATURE
503 facilitator_unavailable Payment facilitator unavailable
503 facilitator_misconfigured Payment facilitator is not configured
503 facilitator_unauthorized Payment facilitator rejected credentials
503 ledger_unavailable Payment ledger unavailable
503 payment_unavailable Payment processing unavailable

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Also searched as

  • absolute neutrophil count
  • ANC
  • neutropenia count
  • segs and bands
  • granulocyte count

Payment

Required query parameters must be present and valid. 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. Retry the same URL with PAYMENT-SIGNATURE. Settlement completes before the tool runs. Full handshake and shared payment errors: Payments.

Guarantees

  • Invalid query parameters return HTTP 400 before settlement. You are not charged.
  • Settlement finishes before the tool executes. Uncertain settlement fails closed (HTTP 503).
  • Execution is timeout-bounded and concurrency-capped.
  • Calculator inputs are not persisted. Request logs store path without query.