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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).
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
- 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
Worked example
Single tumor 5 cm, no invasion, no extrahepatic disease
Given:
extrahepatic=falselargest_cm=5tumor_count=1vascular_invasion=false
- vascular_invasion is false and extrahepatic is false
- tumor_count is 1 and largest_cm 5.0 is <= 5
- 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.
- 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"
}
]
}
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.