Liver · LIVE

MELD (Kamath 2001)

MELD

Compute the Kamath 2001 model for end-stage liver disease (MELD) integer from creatinine, bilirubin, INR, and cholestatic or alcoholic etiology.

LIVE $0.005 USDC GET /api/calc/meld

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

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

What it computes

Compute the Kamath 2001 model for end-stage liver disease (MELD) integer from creatinine, bilirubin, INR, and cholestatic or alcoholic etiology.

When to use

When an agent needs the published Kamath 2001 MELD integer and must not apply UNOS lab floors, add dialysis, invent a listing order, or substitute MELD-Na.

When not to use

• Not a medical device.
• Not a transplant listing or allocation order.
• Kamath 2001 original MELD only. This is not MELD-Na (OPTN 2016) and not MELD 3.0.
• Does not floor bilirubin, INR, or creatinine at 1.0. Those floors are later UNOS/OPTN, not this paper. Kamath tables include bilirubin 0.8.
• Does not include dialysis. Dialysis is not in Kamath 2001.
• Does not include sodium. That is MELD-Na.

Formula

meld = round(3.8 * ln(bilirubin_mg_dL) + 11.2 * ln(INR) + 9.6 * ln(creatinine_mg_dL) + 6.4 * etiology)

Citation

Title

A model to predict survival in patients with end-stage liver disease

Authors

Kamath PS, Wiesner RH, Malinchoc M, Kremers W, Therneau TM, Kosberg CL, D'Amico G, Dickson ER, Kim WR

Source

Hepatology. 2001;33(2):464-470

DOI

10.1053/jhep.2001.22172

Worked example

Also searched as

• MELD
• model for end-stage liver disease
• Kamath MELD
• original MELD 2001
• Mayo end-stage liver disease
• cholestatic alcoholic MELD
• MELD etiology

Try

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

/api/calc/meld?creatinine_mg_dl=1.9&bilirubin_mg_dl=4.2&inr=1.2&cholestatic_or_alcoholic=true

Full URL: https://api.magentlab.com/api/calc/meld?creatinine_mg_dl=1.9&bilirubin_mg_dl=4.2&inr=1.2&cholestatic_or_alcoholic=true

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/meld?creatinine_mg_dl=1.9&bilirubin_mg_dl=4.2&inr=1.2&cholestatic_or_alcoholic=true"

Parameters

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/meld 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": [
    {
      "bilirubin_mg_dl": "4.2",
      "cholestatic_or_alcoholic": "true",
      "creatinine_mg_dl": "1.9",
      "inr": "1.2"
    },
    {
      "bilirubin_mg_dl": "4.2",
      "cholestatic_or_alcoholic": "true",
      "creatinine_mg_dl": "1.9",
      "inr": "1.2"
    }
  ]
}

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/meld",
  "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": "Kamath PS, Wiesner RH, Malinchoc M, Kremers W, Therneau TM, Kosberg CL, D'Amico G, Dickson ER, Kim WR",
        "doi": "10.1053/jhep.2001.22172",
        "id": "kamath-2001",
        "pmid": "11172350",
        "source": "Hepatology. 2001;33(2):464-470",
        "title": "A model to predict survival in patients with end-stage liver disease"
      },
      "formula": "kamath_meld_2001",
      "formula_expression": "meld = round(3.8 * ln(bilirubin_mg_dL) + 11.2 * ln(INR) + 9.6 * ln(creatinine_mg_dL) + 6.4 * etiology)",
      "inr": 1.2,
      "bilirubin_mg_dl": 4.2,
      "creatinine_mg_dl": 1.9,
      "etiology": 0,
      "meld": 14,
      "cholestatic_or_alcoholic": true
    },
    {
      "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": "Kamath PS, Wiesner RH, Malinchoc M, Kremers W, Therneau TM, Kosberg CL, D'Amico G, Dickson ER, Kim WR",
        "doi": "10.1053/jhep.2001.22172",
        "id": "kamath-2001",
        "pmid": "11172350",
        "source": "Hepatology. 2001;33(2):464-470",
        "title": "A model to predict survival in patients with end-stage liver disease"
      },
      "formula": "kamath_meld_2001",
      "formula_expression": "meld = round(3.8 * ln(bilirubin_mg_dL) + 11.2 * ln(INR) + 9.6 * ln(creatinine_mg_dL) + 6.4 * etiology)",
      "inr": 1.2,
      "bilirubin_mg_dl": 4.2,
      "creatinine_mg_dl": 1.9,
      "etiology": 0,
      "meld": 14,
      "cholestatic_or_alcoholic": true
    }
  ]
}

Response

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": "Kamath PS, Wiesner RH, Malinchoc M, Kremers W, Therneau TM, Kosberg CL, D'Amico G, Dickson ER, Kim WR",
    "doi": "10.1053/jhep.2001.22172",
    "id": "kamath-2001",
    "pmid": "11172350",
    "source": "Hepatology. 2001;33(2):464-470",
    "title": "A model to predict survival in patients with end-stage liver disease"
  },
  "formula": "kamath_meld_2001",
  "formula_expression": "meld = round(3.8 * ln(bilirubin_mg_dL) + 11.2 * ln(INR) + 9.6 * ln(creatinine_mg_dL) + 6.4 * etiology)",
  "inr": 1.2,
  "bilirubin_mg_dl": 4.2,
  "creatinine_mg_dl": 1.9,
  "etiology": 0,
  "meld": 14,
  "cholestatic_or_alcoholic": true
}

Client errors (HTTP 400)

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

Related tools

• MELD-Na — Compute OPTN/UNOS 2016 MELD and MELD-Na from creatinine, bilirubin, INR, sodium, and dialysis.
• Child–Pugh — Compute the Child–Turcotte–Pugh cirrhosis severity score from bilirubin, albumin, INR, encephalopathy, and ascites.
• UKELD — Compute the Barber 2011 United Kingdom end-stage liver disease (UKELD) integer from INR, creatinine, bilirubin, and sodium, with the UK elective-list 9% 1-year mortality threshold of 49.

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.
• 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.