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Kim 2008 MELD-Na

Compute Kim 2008 NEJM MELD and MELD-Na from creatinine, bilirubin, INR, sodium, and dialysis using then-current UNOS lab bounds and sodium 125–140.

LIVE $0.005 USDC GET /api/calc/kim_meldna

Markdown: /docs/kim-meldna.md · Canonical: https://magentlab.com/docs/kim-meldna

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

What it computes

Compute Kim 2008 NEJM MELD and MELD-Na from creatinine, bilirubin, INR, sodium, and dialysis using then-current UNOS lab bounds and sodium 125–140.

When to use

When an agent needs the Kim 2008 wait-list MELD-Na integer and must not substitute OPTN 2016 MELD-Na or Kim 2021 MELD 3.0, or invent a listing order.

When not to use

• Not a medical device.
• Not a transplant listing or allocation order.
• Kim 2008 NEJM MELD-Na only. This is not OPTN 2016 MELD-Na (sodium 125–137, applied only when MELD>11) and not Kim 2021 MELD 3.0.
• Applies then-current UNOS creatinine 1.0–4.0 (dialysis sets 4.0) and bilirubin and INR floors of 1.0.
• Bounds sodium at 125–140 mmol/L for the sodium term at every MELD.

Formula

MELD = round(10 * (0.957*ln(Cr) + 0.378*ln(bili) + 1.120*ln(INR) + 0.643)); MELDNa = round(MELD - Na - 0.025*MELD*(140 - Na) + 140); dialysis sets Cr 4.0 else Cr clamp 1.0-4.0; bili and INR floor 1.0; Na bound 125-140. Kim 2008 NEJM, not OPTN 2016, not MELD 3.0

Citation

Title

Hyponatremia and mortality among patients on the liver-transplant waiting list

Authors

Kim WR, Biggins SW, Kremers WK, Wiesner RH, Kamath PS, Benson JT, Edwards E, Therneau TM

Source

N Engl J Med. 2008;359(10):1018-1026

DOI

10.1056/NEJMoa0801209

Worked example

Also searched as

• Kim 2008 MELD-Na
• MELD sodium Kim NEJM
• hyponatremia MELD waitlist
• Kim MELDNa
• not OPTN MELD-Na
• wait-list MELD-Na 2008

Try

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

/api/calc/kim_meldna?creatinine_mg_dl=1.2&bilirubin_mg_dl=1.1&inr=1.1&sodium_mmol_l=125&dialysis=false

Full URL: https://api.magentlab.com/api/calc/kim_meldna?creatinine_mg_dl=1.2&bilirubin_mg_dl=1.1&inr=1.1&sodium_mmol_l=125&dialysis=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/kim_meldna?creatinine_mg_dl=1.2&bilirubin_mg_dl=1.1&inr=1.1&sodium_mmol_l=125&dialysis=false"

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/kim_meldna 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": "1.1",
      "creatinine_mg_dl": "1.2",
      "dialysis": "false",
      "inr": "1.1",
      "sodium_mmol_l": "125"
    },
    {
      "bilirubin_mg_dl": "1.1",
      "creatinine_mg_dl": "1.2",
      "dialysis": "false",
      "inr": "1.1",
      "sodium_mmol_l": "125"
    }
  ]
}

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/kim_meldna",
  "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": "Kim WR, Biggins SW, Kremers WK, Wiesner RH, Kamath PS, Benson JT, Edwards E, Therneau TM",
        "doi": "10.1056/NEJMoa0801209",
        "id": "kim-2008-meldna",
        "pmid": "18768945",
        "source": "N Engl J Med. 2008;359(10):1018-1026",
        "title": "Hyponatremia and mortality among patients on the liver-transplant waiting list"
      },
      "formula": "kim_meldna_2008",
      "formula_expression": "MELD = round(10 * (0.957*ln(Cr) + 0.378*ln(bili) + 1.120*ln(INR) + 0.643)); MELDNa = round(MELD - Na - 0.025*MELD*(140 - Na) + 140); dialysis sets Cr 4.0 else Cr clamp 1.0-4.0; bili and INR floor 1.0; Na bound 125-140. Kim 2008 NEJM, not OPTN 2016, not MELD 3.0",
      "bilirubin_mg_dl": 1.1,
      "creatinine_mg_dl": 1.2,
      "inr": 1.1,
      "sodium_mmol_l": 125.0,
      "meld": 10,
      "bilirubin_used_mg_dl": 1.1,
      "creatinine_used_mg_dl": 1.2,
      "dialysis": false,
      "inr_used": 1.1,
      "meld_na": 21,
      "sodium_used_mmol_l": 125.0
    },
    {
      "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": "Kim WR, Biggins SW, Kremers WK, Wiesner RH, Kamath PS, Benson JT, Edwards E, Therneau TM",
        "doi": "10.1056/NEJMoa0801209",
        "id": "kim-2008-meldna",
        "pmid": "18768945",
        "source": "N Engl J Med. 2008;359(10):1018-1026",
        "title": "Hyponatremia and mortality among patients on the liver-transplant waiting list"
      },
      "formula": "kim_meldna_2008",
      "formula_expression": "MELD = round(10 * (0.957*ln(Cr) + 0.378*ln(bili) + 1.120*ln(INR) + 0.643)); MELDNa = round(MELD - Na - 0.025*MELD*(140 - Na) + 140); dialysis sets Cr 4.0 else Cr clamp 1.0-4.0; bili and INR floor 1.0; Na bound 125-140. Kim 2008 NEJM, not OPTN 2016, not MELD 3.0",
      "bilirubin_mg_dl": 1.1,
      "creatinine_mg_dl": 1.2,
      "inr": 1.1,
      "sodium_mmol_l": 125.0,
      "meld": 10,
      "bilirubin_used_mg_dl": 1.1,
      "creatinine_used_mg_dl": 1.2,
      "dialysis": false,
      "inr_used": 1.1,
      "meld_na": 21,
      "sodium_used_mmol_l": 125.0
    }
  ]
}

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": "Kim WR, Biggins SW, Kremers WK, Wiesner RH, Kamath PS, Benson JT, Edwards E, Therneau TM",
    "doi": "10.1056/NEJMoa0801209",
    "id": "kim-2008-meldna",
    "pmid": "18768945",
    "source": "N Engl J Med. 2008;359(10):1018-1026",
    "title": "Hyponatremia and mortality among patients on the liver-transplant waiting list"
  },
  "formula": "kim_meldna_2008",
  "formula_expression": "MELD = round(10 * (0.957*ln(Cr) + 0.378*ln(bili) + 1.120*ln(INR) + 0.643)); MELDNa = round(MELD - Na - 0.025*MELD*(140 - Na) + 140); dialysis sets Cr 4.0 else Cr clamp 1.0-4.0; bili and INR floor 1.0; Na bound 125-140. Kim 2008 NEJM, not OPTN 2016, not MELD 3.0",
  "bilirubin_mg_dl": 1.1,
  "creatinine_mg_dl": 1.2,
  "inr": 1.1,
  "sodium_mmol_l": 125.0,
  "meld": 10,
  "bilirubin_used_mg_dl": 1.1,
  "creatinine_used_mg_dl": 1.2,
  "dialysis": false,
  "inr_used": 1.1,
  "meld_na": 21,
  "sodium_used_mmol_l": 125.0
}

Client errors (HTTP 400)

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

Related tools

• MELD — Compute the Kamath 2001 model for end-stage liver disease (MELD) integer from creatinine, bilirubin, INR, and cholestatic or alcoholic etiology.
• MELD-Na — Compute OPTN/UNOS 2016 MELD and MELD-Na from creatinine, bilirubin, INR, sodium, and dialysis.
• MELD 3.0 — Compute the Kim 2021 MELD 3.0 integer from sex, bilirubin, INR, creatinine, sodium, albumin, and dialysis.

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.