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ABC/2 ICH volume (Kothari)

ABC/2

Compute the Kothari 1996 ABC/2 ellipsoid ICH volume as (a_cm × b_cm × c_cm) / 2 from caller-supplied diameters in centimeters.

LIVE $0.005 USDC GET /api/calc/abc2

Markdown: /docs/abc2.md · Canonical: https://magentlab.com/docs/abc2

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

What it computes

Compute the Kothari 1996 ABC/2 ellipsoid ICH volume as (a_cm × b_cm × c_cm) / 2 from caller-supplied diameters in centimeters.

When to use

When an agent needs the published ABC/2 volume and must not invent the ICH Score or pick A, B, or C from a scan.

When not to use

  • Not a diagnosis. magent does not diagnose intracerebral hemorrhage.
  • Volume estimate only. This is the Kothari 1996 ABC/2 ellipsoid formula, not a volumetric segmentation.
  • This is not the ICH Score.
  • magent does not read imaging or choose A/B/C on the scan. The caller supplies a_cm, b_cm, and c_cm.

Formula

volume_ml = (a_cm * b_cm * c_cm) / 2

Citation

Title
The ABCs of measuring intracerebral hemorrhage volumes
Authors
Kothari RU, Brott T, Broderick JP, et al.
Source
Stroke. 1996;27(8):1304-1305
DOI
10.1161/01.STR.27.8.1304

Worked example

2 cm cube

Given: a_cm=2b_cm=2c_cm=2

  1. volume_ml = (2 × 2 × 2) / 2 = 4.0

Asymmetric 6 × 4 × 3 cm

Given: a_cm=6b_cm=4c_cm=3

  1. volume_ml = (6 × 4 × 3) / 2 = 36.0

Also searched as

  • ABC/2
  • ABC2 volume
  • Kothari ABC/2
  • ICH volume ABC/2
  • hemorrhage volume ABC/2
  • ABC over 2

Try

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

/api/calc/abc2?a_cm=2&b_cm=2&c_cm=2

Full URL: https://api.magentlab.com/api/calc/abc2?a_cm=2&b_cm=2&c_cm=2

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/abc2?a_cm=2&b_cm=2&c_cm=2"

Parameters

Name Type Required Description
a_cm number required Largest diameter A in cm (0.1-20). Caller-assigned; magent does not read a scan.
b_cm number required Largest diameter B perpendicular to A, in cm (0.1-20). Caller-assigned.
c_cm number required C in cm (0.1-20): number of slices times slice thickness. Caller-assigned.

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/abc2 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": [
    {
      "a_cm": "2",
      "b_cm": "2",
      "c_cm": "2"
    },
    {
      "a_cm": "2",
      "b_cm": "2",
      "c_cm": "2"
    }
  ]
}

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/abc2",
  "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": "Kothari RU, Brott T, Broderick JP, et al.",
        "doi": "10.1161/01.STR.27.8.1304",
        "id": "kothari-1996",
        "source": "Stroke. 1996;27(8):1304-1305",
        "title": "The ABCs of measuring intracerebral hemorrhage volumes"
      },
      "formula": "abc2",
      "formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2",
      "a_cm": 2.0,
      "b_cm": 2.0,
      "c_cm": 2.0,
      "volume_ml": 4.0
    },
    {
      "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": "Kothari RU, Brott T, Broderick JP, et al.",
        "doi": "10.1161/01.STR.27.8.1304",
        "id": "kothari-1996",
        "source": "Stroke. 1996;27(8):1304-1305",
        "title": "The ABCs of measuring intracerebral hemorrhage volumes"
      },
      "formula": "abc2",
      "formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2",
      "a_cm": 2.0,
      "b_cm": 2.0,
      "c_cm": 2.0,
      "volume_ml": 4.0
    }
  ]
}

Response

Field Type Description
formula string abc2
formula_expression string Exact expression used
a_cm number Largest diameter A used, cm
b_cm number Perpendicular diameter B used, cm
c_cm number Slice count times thickness C used, cm
volume_ml number ABC/2 volume in mL, 1 decimal
citation object Kothari 1996 Stroke 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": "Kothari RU, Brott T, Broderick JP, et al.",
    "doi": "10.1161/01.STR.27.8.1304",
    "id": "kothari-1996",
    "source": "Stroke. 1996;27(8):1304-1305",
    "title": "The ABCs of measuring intracerebral hemorrhage volumes"
  },
  "formula": "abc2",
  "formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2",
  "a_cm": 2.0,
  "b_cm": 2.0,
  "c_cm": 2.0,
  "volume_ml": 4.0
}

Client errors (HTTP 400)

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

HTTP Code When
400 invalid_abc2_dimension a_cm, b_cm, and c_cm must each be a number from 0.1 to 20. 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

  • ICH Score — Compute the Hemphill 2001 ICH Score from caller-assigned GCS, age, infratentorial origin, ICH volume, and IVH.

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. HTTP 503 is not a new quote: retry the same PAYMENT-SIGNATURE. Full handshake and shared payment errors: Payments. Stdio MCP: /docs/mcp.

Guarantees

  • Invalid query parameters return HTTP 400 before settlement. You are not charged.
  • Settlement finishes before the tool executes (paymentFlow upfront). 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.