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Moledina AIN risk

AIN risk

Compute the Moledina 2022 development-model logistic probability of biopsy-proven acute interstitial nephritis from serum creatinine, BUN:creatinine ratio, urine dipstick specific gravity, and dipstick protein.

LIVE $0.005 USDC GET /api/calc/ain_risk

Markdown: /docs/ain-risk.md · Canonical: https://magentlab.com/docs/ain-risk

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

What it computes

Compute the Moledina 2022 development-model logistic probability of biopsy-proven acute interstitial nephritis from serum creatinine, BUN:creatinine ratio, urine dipstick specific gravity, and dipstick protein.

When to use

When an agent needs the published Moledina 2022 EHR-model probability and must not invent a biopsy decision, a diagnosis, urine cytokine inputs, or a low/high cutoff.

When not to use

  • Not a medical device. Not a diagnosis and not a kidney biopsy.
  • Moledina 2022 development-model coefficients only (Table 4 intercept and supplement weights). This is not the urine IL-9 and TNF-α biomarker model.
  • magent does not apply a later intercept-correction for local AIN prevalence.
  • Moledina 2022 does not publish a named low or high probability cutoff; magent does not invent one.
  • protein is the published binary dipstick category (0 or 1+ versus 2+ or higher) as assigned by the caller. magent does not interpret the dipstick.
  • Derived and validated in patients selected for native-kidney biopsy. External validity outside that population is unknown.

Formula

L = 0.770398 + 0.8367518*ln(creatinine_mg_dl) - 0.9181938*ln(bun_cr_ratio) - 0.0501203*1000*(specific_gravity - 1) + protein (Moledina 2022 development model; Table 4 aORs / supplement weights); protein le_1 (0 or 1+) 0.9360127, ge_2 (2+ or higher, reference) 0; estimated_probability_percent = 100 * exp(L) / (1 + exp(L))

Citation

Title
Development and external validation of a diagnostic model for biopsy-proven acute interstitial nephritis using electronic health record data
Authors
Moledina DG, Eadon MT, Calderon F, et al.
Source
Nephrol Dial Transplant. 2022;37(11):2214-2222
DOI
10.1093/ndt/gfab346

Worked example

Creatinine 2.1 mg/dL, BUN:Cr 15, SG 1.015, protein 0 or 1+

Given: bun_cr_ratio=15creatinine_mg_dl=2.1protein=le_1specific_gravity=1.015

  1. L = 0.770398 + 0.8367518×ln(2.1) − 0.9181938×ln(15) − 0.0501203×15 + 0.9360127 (le_1)
  2. estimated_probability_percent = 100 × e^L / (1 + e^L) from the unrounded logit

Creatinine 4.0 mg/dL, BUN:Cr 15, SG 1.015, protein 0 or 1+

Given: bun_cr_ratio=15creatinine_mg_dl=4.0protein=le_1specific_gravity=1.015

  1. L = 0.770398 + 0.8367518×ln(4.0) − 0.9181938×ln(15) − 0.0501203×15 + 0.9360127 (le_1)
  2. estimated_probability_percent from the unrounded logit, two decimals

Creatinine 2.1 mg/dL, BUN:Cr 25, SG 1.015, protein 0 or 1+

Given: bun_cr_ratio=25creatinine_mg_dl=2.1protein=le_1specific_gravity=1.015

  1. L = 0.770398 + 0.8367518×ln(2.1) − 0.9181938×ln(25) − 0.0501203×15 + 0.9360127 (le_1)
  2. estimated_probability_percent from the unrounded logit, two decimals

Creatinine 2.1 mg/dL, BUN:Cr 15, SG 1.010, protein 0 or 1+

Given: bun_cr_ratio=15creatinine_mg_dl=2.1protein=le_1specific_gravity=1.010

  1. L = 0.770398 + 0.8367518×ln(2.1) − 0.9181938×ln(15) − 0.0501203×10 + 0.9360127 (le_1)
  2. estimated_probability_percent from the unrounded logit, two decimals

Creatinine 2.1 mg/dL, BUN:Cr 15, SG 1.015, protein 2+ or higher

Given: bun_cr_ratio=15creatinine_mg_dl=2.1protein=ge_2specific_gravity=1.015

  1. L = 0.770398 + 0.8367518×ln(2.1) − 0.9181938×ln(15) − 0.0501203×15 + 0 (ge_2)
  2. estimated_probability_percent from the unrounded logit, two decimals

Also searched as

  • AIN risk
  • acute interstitial nephritis probability
  • Moledina AIN model
  • biopsy-proven AIN
  • AIN diagnostic model
  • tubulointerstitial nephritis
  • AIN EHR model
  • acute tubulointerstitial nephritis

Try

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

/api/calc/ain_risk?creatinine_mg_dl=2.1&bun_cr_ratio=15&specific_gravity=1.015&protein=le_1

Full URL: https://api.magentlab.com/api/calc/ain_risk?creatinine_mg_dl=2.1&bun_cr_ratio=15&specific_gravity=1.015&protein=le_1

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/ain_risk?creatinine_mg_dl=2.1&bun_cr_ratio=15&specific_gravity=1.015&protein=le_1"

Parameters

Name Type Required Description
creatinine_mg_dl number required Serum creatinine in mg/dL (0.1-20). Moledina 2022 Table 4: +0.8367518 per natural log. µmol/L is not accepted on this tool. magent does not assay creatinine.
bun_cr_ratio number required BUN:creatinine ratio (mg/dL : mg/dL, 0.5-200) as computed by the caller. Moledina 2022 Table 4: -0.9181938 per natural log. magent does not compute BUN from other labs.
specific_gravity number required Urine dipstick specific gravity (1.000-1.050) as assigned by the caller, e.g. 1.015. Moledina 2022 Table 4: -0.0501203 per 0.001 unit. magent does not read the dipstick.
protein string required · le_1, ge_2 Moledina 2022 dipstick protein category as assigned by the caller: le_1 (0 or 1+, +0.9360127) or ge_2 (2+ or higher, reference, 0). magent does not interpret the dipstick.

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/ain_risk 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": [
    {
      "bun_cr_ratio": "15",
      "creatinine_mg_dl": "2.1",
      "protein": "le_1",
      "specific_gravity": "1.015"
    },
    {
      "bun_cr_ratio": "15",
      "creatinine_mg_dl": "2.1",
      "protein": "le_1",
      "specific_gravity": "1.015"
    }
  ]
}

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/ain_risk",
  "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": "Moledina DG, Eadon MT, Calderon F, et al.",
        "doi": "10.1093/ndt/gfab346",
        "id": "moledina-2022",
        "pmid": "34865148",
        "source": "Nephrol Dial Transplant. 2022;37(11):2214-2222",
        "title": "Development and external validation of a diagnostic model for biopsy-proven acute interstitial nephritis using electronic health record data"
      },
      "formula": "ain_risk",
      "formula_expression": "L = 0.770398 + 0.8367518*ln(creatinine_mg_dl) - 0.9181938*ln(bun_cr_ratio) - 0.0501203*1000*(specific_gravity - 1) + protein (Moledina 2022 development model; Table 4 aORs / supplement weights); protein le_1 (0 or 1+) 0.9360127, ge_2 (2+ or higher, reference) 0; estimated_probability_percent = 100 * exp(L) / (1 + exp(L))",
      "creatinine_mg_dl": 2.1,
      "bun_cr_ratio": 15.0,
      "estimated_probability_percent": 28.68,
      "logit": -0.9111,
      "protein": "le_1",
      "specific_gravity": 1.015
    },
    {
      "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": "Moledina DG, Eadon MT, Calderon F, et al.",
        "doi": "10.1093/ndt/gfab346",
        "id": "moledina-2022",
        "pmid": "34865148",
        "source": "Nephrol Dial Transplant. 2022;37(11):2214-2222",
        "title": "Development and external validation of a diagnostic model for biopsy-proven acute interstitial nephritis using electronic health record data"
      },
      "formula": "ain_risk",
      "formula_expression": "L = 0.770398 + 0.8367518*ln(creatinine_mg_dl) - 0.9181938*ln(bun_cr_ratio) - 0.0501203*1000*(specific_gravity - 1) + protein (Moledina 2022 development model; Table 4 aORs / supplement weights); protein le_1 (0 or 1+) 0.9360127, ge_2 (2+ or higher, reference) 0; estimated_probability_percent = 100 * exp(L) / (1 + exp(L))",
      "creatinine_mg_dl": 2.1,
      "bun_cr_ratio": 15.0,
      "estimated_probability_percent": 28.68,
      "logit": -0.9111,
      "protein": "le_1",
      "specific_gravity": 1.015
    }
  ]
}

Response

Field Type Description
formula string ain_risk
formula_expression string Moledina 2022 development-model logistic expression
creatinine_mg_dl number Input serum creatinine in mg/dL
bun_cr_ratio number Input BUN:creatinine ratio (mg/dL : mg/dL)
specific_gravity number Input urine dipstick specific gravity
protein string le_1 (0 or 1+) or ge_2 (2+ or higher)
logit number Moledina 2022 development-model linear predictor L, 4 decimal places
estimated_probability_percent number 100 * exp(L) / (1 + exp(L)) from the unrounded logit, 2 decimal places. A probability, not a biopsy and not a diagnosis.
citation object Moledina et al. Nephrol Dial Transplant 2022 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": "Moledina DG, Eadon MT, Calderon F, et al.",
    "doi": "10.1093/ndt/gfab346",
    "id": "moledina-2022",
    "pmid": "34865148",
    "source": "Nephrol Dial Transplant. 2022;37(11):2214-2222",
    "title": "Development and external validation of a diagnostic model for biopsy-proven acute interstitial nephritis using electronic health record data"
  },
  "formula": "ain_risk",
  "formula_expression": "L = 0.770398 + 0.8367518*ln(creatinine_mg_dl) - 0.9181938*ln(bun_cr_ratio) - 0.0501203*1000*(specific_gravity - 1) + protein (Moledina 2022 development model; Table 4 aORs / supplement weights); protein le_1 (0 or 1+) 0.9360127, ge_2 (2+ or higher, reference) 0; estimated_probability_percent = 100 * exp(L) / (1 + exp(L))",
  "creatinine_mg_dl": 2.1,
  "bun_cr_ratio": 15.0,
  "estimated_probability_percent": 28.68,
  "logit": -0.9111,
  "protein": "le_1",
  "specific_gravity": 1.015
}

Client errors (HTTP 400)

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

HTTP Code When
400 invalid_ain_risk AIN risk needs Moledina 2022 creatinine, BUN:creatinine, urine specific gravity, and dipstick protein in published ranges. 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

  • AKIN — Apply Mehta 2007 Table 2 AKIN staging and return stage 0-3 as the worse of the creatinine and urine-output limbs, with initiated renal replacement therapy mapping to stage 3.

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.