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Milan criteria

Milan

Apply Mazzaferro 1996 Milan criteria and return whether the published size, count, vascular-invasion, and extrahepatic rules all hold (meets_milan).

LIVE $0.005 USDC GET /api/calc/milan

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

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

What it computes

Apply Mazzaferro 1996 Milan criteria and return whether the published size, count, vascular-invasion, and extrahepatic rules all hold (meets_milan).

When to use

When an agent already has tumor count, largest diameter in centimetres, and preoperative vascular-invasion and extrahepatic flags as in Mazzaferro 1996, and needs the published eligibility result. magent does not interpret imaging.

When not to use

  • Not a medical device.
  • Not a transplant listing or organ-allocation order.
  • magent does not interpret imaging. tumor_count and largest_cm are caller-assigned.
  • This tool is Mazzaferro 1996 Milan criteria only. Not UCSF criteria, not up-to-7, and not OPTN downstaging.

Formula

meets_milan iff no vascular_invasion and no extrahepatic and ((tumor_count == 1 and largest_cm <= 5) or (tumor_count in 2..3 and largest_cm <= 3))

Citation

Title
Liver transplantation for the treatment of small hepatocellular carcinomas in patients with cirrhosis
Authors
Mazzaferro V, Regalia E, Doci R, Andreola S, Pulvirenti A, Bozzetti F, Montalto F, Ammatuna M, Morabito A, Gennari L
Source
N Engl J Med. 1996;334(11):693-699
DOI
10.1056/NEJM199603143341104

Worked example

Single tumor 5 cm, no invasion, no extrahepatic disease

Given: extrahepatic=falselargest_cm=5tumor_count=1vascular_invasion=false

  1. vascular_invasion is false and extrahepatic is false
  2. tumor_count is 1 and largest_cm 5.0 is <= 5
  3. meets_milan is true

Also searched as

  • Milan criteria
  • Mazzaferro criteria
  • HCC transplant criteria
  • Milan HCC
  • Mazzaferro 1996
  • small hepatocellular carcinoma
  • Milan listing criteria
  • liver transplant HCC size

Try

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

/api/calc/milan?tumor_count=1&largest_cm=5&vascular_invasion=false&extrahepatic=false

Full URL: https://api.magentlab.com/api/calc/milan?tumor_count=1&largest_cm=5&vascular_invasion=false&extrahepatic=false

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/milan?tumor_count=1&largest_cm=5&vascular_invasion=false&extrahepatic=false"

Parameters

Name Type Required Description
tumor_count integer required Number of HCC nodules (integer 1-20) as assigned by the caller. A single tumor may be up to 5 cm; two or three nodules must each be 3 cm or less. Four or more nodules fail Milan. magent does not interpret imaging.
largest_cm number required Largest tumor diameter in centimetres (0.1-30). Single tumor meets at 5.0 cm and fails at 5.1. Two or three nodules meet at 3.0 cm and fail at 3.1. magent does not interpret imaging.
vascular_invasion boolean required Preoperative vascular (vessel) invasion as assigned by the caller. true fails Milan (Mazzaferro 1996 excluded preoperative vessel invasion). true or false. magent does not interpret imaging.
extrahepatic boolean required Evident or suspected extrahepatic or lymph-node disease as assigned by the caller. true fails Milan (Mazzaferro 1996 excluded extrahepatic disease). true or false. magent does not interpret imaging.

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/milan 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": [
    {
      "extrahepatic": "false",
      "largest_cm": "5",
      "tumor_count": "1",
      "vascular_invasion": "false"
    },
    {
      "extrahepatic": "false",
      "largest_cm": "5",
      "tumor_count": "1",
      "vascular_invasion": "false"
    }
  ]
}

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/milan",
  "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": "Mazzaferro V, Regalia E, Doci R, Andreola S, Pulvirenti A, Bozzetti F, Montalto F, Ammatuna M, Morabito A, Gennari L",
        "doi": "10.1056/NEJM199603143341104",
        "id": "mazzaferro-1996",
        "pmid": "8594428",
        "source": "N Engl J Med. 1996;334(11):693-699",
        "title": "Liver transplantation for the treatment of small hepatocellular carcinomas in patients with cirrhosis"
      },
      "formula": "milan",
      "formula_expression": "meets_milan iff no vascular_invasion and no extrahepatic and ((tumor_count == 1 and largest_cm <= 5) or (tumor_count in 2..3 and largest_cm <= 3))",
      "criteria": [
        {
          "factor": "no_vascular_invasion",
          "met": true
        },
        {
          "factor": "no_extrahepatic",
          "met": true
        },
        {
          "factor": "size_and_count",
          "met": true
        }
      ],
      "extrahepatic": false,
      "largest_cm": 5.0,
      "meets_milan": true,
      "tumor_count": 1,
      "vascular_invasion": false
    },
    {
      "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": "Mazzaferro V, Regalia E, Doci R, Andreola S, Pulvirenti A, Bozzetti F, Montalto F, Ammatuna M, Morabito A, Gennari L",
        "doi": "10.1056/NEJM199603143341104",
        "id": "mazzaferro-1996",
        "pmid": "8594428",
        "source": "N Engl J Med. 1996;334(11):693-699",
        "title": "Liver transplantation for the treatment of small hepatocellular carcinomas in patients with cirrhosis"
      },
      "formula": "milan",
      "formula_expression": "meets_milan iff no vascular_invasion and no extrahepatic and ((tumor_count == 1 and largest_cm <= 5) or (tumor_count in 2..3 and largest_cm <= 3))",
      "criteria": [
        {
          "factor": "no_vascular_invasion",
          "met": true
        },
        {
          "factor": "no_extrahepatic",
          "met": true
        },
        {
          "factor": "size_and_count",
          "met": true
        }
      ],
      "extrahepatic": false,
      "largest_cm": 5.0,
      "meets_milan": true,
      "tumor_count": 1,
      "vascular_invasion": false
    }
  ]
}

Response

Field Type Description
formula string milan
formula_expression string Mazzaferro 1996: no vascular invasion, no extrahepatic disease, and single tumor <=5 cm or 2-3 nodules each <=3 cm
meets_milan boolean true only when all published Milan conditions hold. Not a transplant listing.
tumor_count integer Echo of the caller-assigned nodule count (1-20)
largest_cm number Echo of the caller-assigned largest diameter in centimetres
vascular_invasion boolean Echo of the caller-assigned preoperative vascular-invasion flag
extrahepatic boolean Echo of the caller-assigned extrahepatic or lymph-node disease flag
criteria array Per-factor rows with factor and met; met is true when that Milan condition holds
citation object Mazzaferro 1996 N Engl J Med 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": "Mazzaferro V, Regalia E, Doci R, Andreola S, Pulvirenti A, Bozzetti F, Montalto F, Ammatuna M, Morabito A, Gennari L",
    "doi": "10.1056/NEJM199603143341104",
    "id": "mazzaferro-1996",
    "pmid": "8594428",
    "source": "N Engl J Med. 1996;334(11):693-699",
    "title": "Liver transplantation for the treatment of small hepatocellular carcinomas in patients with cirrhosis"
  },
  "formula": "milan",
  "formula_expression": "meets_milan iff no vascular_invasion and no extrahepatic and ((tumor_count == 1 and largest_cm <= 5) or (tumor_count in 2..3 and largest_cm <= 3))",
  "criteria": [
    {
      "factor": "no_vascular_invasion",
      "met": true
    },
    {
      "factor": "no_extrahepatic",
      "met": true
    },
    {
      "factor": "size_and_count",
      "met": true
    }
  ],
  "extrahepatic": false,
  "largest_cm": 5.0,
  "meets_milan": true,
  "tumor_count": 1,
  "vascular_invasion": false
}

Client errors (HTTP 400)

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

HTTP Code When
400 invalid_tumor_count tumor_count must be an integer from 1 to 20 (Mazzaferro 1996). Returned before settlement; you are not charged.
400 invalid_largest_cm largest_cm must be a number from 0.1 to 30 (Mazzaferro 1996). Returned before settlement; you are not charged.
400 invalid_flag boolean clinical flags must be true or false 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

  • Fong — Sum the five Fong 1999 preoperative criteria for colorectal liver metastases and return the 0–5 clinical score and whether it is potentially favorable (≤2).

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.