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OSTA osteoporosis self-assessment

OSTA

Compute the Koh 2001 Osteoporosis Self-Assessment Tool for Asians (OSTA) as trunc(0.2 × (weight_kg − age)) toward zero, then the published low, intermediate, or high band.

LIVE $0.005 USDC GET /api/calc/osta

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

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

What it computes

Compute the Koh 2001 Osteoporosis Self-Assessment Tool for Asians (OSTA) as trunc(0.2 × (weight_kg − age)) toward zero, then the published low, intermediate, or high band.

When to use

When an agent has age and weight and needs the published Koh 2001 OSTA index and band, not FRAX, not a DXA order, and not a diagnosis of osteoporosis.

When not to use

  • Not a medical device. Not a diagnosis of osteoporosis. magent does not weigh the patient.
  • Not FRAX and not a DXA order. magent returns the Koh 2001 OSTA index and published band only.
  • Koh 2001 derivation was postmenopausal Asian women. magent does not restrict sex or ethnicity at input.

Formula

OSTA = trunc(0.2 * (weight_kg - age)); low if index > -1; intermediate if -1 to -4 inclusive; high if index < -4

Citation

Title
A simple tool to identify Asian women at increased risk of osteoporosis
Authors
Koh LKH, Sedrine WB, Torralba TP, Kung A, Fujiwara S, Chan SP, Huang QR, Rajatanavin R, Tsai KS, Park HM, Reginster JY, OSTA Research Group
Source
Osteoporos Int. 2001;12(8):699-705
DOI
10.1007/s001980170070

Worked example

66 years, 50 kg (trunc toward zero)

Given: age=66weight_kg=50

  1. (50 − 66) × 0.2 = −3.2
  2. trunc toward zero drops decimal digits → −3 (floor would be −4)
  3. index −3 is in −1 through −4 inclusive → intermediate

80 years, 45 kg (high)

Given: age=80weight_kg=45

  1. (45 − 80) × 0.2 = −7.0 → trunc −7
  2. index −7 < −4 → high

50 years, 70 kg (low)

Given: age=50weight_kg=70

  1. (70 − 50) × 0.2 = 4.0 → trunc 4
  2. index 4 > −1 → low

Also searched as

  • OSTA
  • OST
  • Osteoporosis Self-Assessment Tool
  • Osteoporosis Self-Assessment Tool for Asians
  • Koh OSTA
  • OSTA index
  • Asian osteoporosis screening
  • weight minus age osteoporosis

Try

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

/api/calc/osta?age=66&weight_kg=50

Full URL: https://api.magentlab.com/api/calc/osta?age=66&weight_kg=50

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/osta?age=66&weight_kg=50"

Parameters

Name Type Required Description
age integer required Age in years (18-120). Koh 2001 OSTA uses age as a whole number of years.
weight_kg number optional Weight in kilograms. Provide weight_kg or weight_lb.
weight_lb number optional Weight in pounds. Converted as kg = lb * 0.45359237.

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/osta 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": [
    {
      "age": "66",
      "weight_kg": "50"
    },
    {
      "age": "66",
      "weight_kg": "50"
    }
  ]
}

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/osta",
  "items": [
    {
      "age": 66,
      "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": "Koh LKH, Sedrine WB, Torralba TP, Kung A, Fujiwara S, Chan SP, Huang QR, Rajatanavin R, Tsai KS, Park HM, Reginster JY, OSTA Research Group",
        "doi": "10.1007/s001980170070",
        "id": "koh-2001",
        "pmid": "11580084",
        "source": "Osteoporos Int. 2001;12(8):699-705",
        "title": "A simple tool to identify Asian women at increased risk of osteoporosis"
      },
      "formula": "osta",
      "formula_expression": "OSTA = trunc(0.2 * (weight_kg - age)); low if index > -1; intermediate if -1 to -4 inclusive; high if index < -4",
      "weight_kg": 50.0,
      "risk": "intermediate",
      "osta_index": -3
    },
    {
      "age": 66,
      "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": "Koh LKH, Sedrine WB, Torralba TP, Kung A, Fujiwara S, Chan SP, Huang QR, Rajatanavin R, Tsai KS, Park HM, Reginster JY, OSTA Research Group",
        "doi": "10.1007/s001980170070",
        "id": "koh-2001",
        "pmid": "11580084",
        "source": "Osteoporos Int. 2001;12(8):699-705",
        "title": "A simple tool to identify Asian women at increased risk of osteoporosis"
      },
      "formula": "osta",
      "formula_expression": "OSTA = trunc(0.2 * (weight_kg - age)); low if index > -1; intermediate if -1 to -4 inclusive; high if index < -4",
      "weight_kg": 50.0,
      "risk": "intermediate",
      "osta_index": -3
    }
  ]
}

Response

Field Type Description
formula string osta
formula_expression string Exact Koh 2001 expression
age integer Age in years used in the index
weight_kg number Normalized weight in kg
osta_index integer Koh 2001 OSTA index: trunc(0.2 * (weight_kg - age)) toward zero. Integer; not FRAX.
risk string low (index > -1), intermediate (index -1 through -4 inclusive), or high (index < -4). Koh 2001 published band, not a diagnosis or DXA order.
citation object Koh 2001 Osteoporos Int citation
disclaimer string Not-a-device notice

Example JSON

Machine form of the same example. Frozen fixture. Not a live lookup.

{
  "age": 66,
  "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": "Koh LKH, Sedrine WB, Torralba TP, Kung A, Fujiwara S, Chan SP, Huang QR, Rajatanavin R, Tsai KS, Park HM, Reginster JY, OSTA Research Group",
    "doi": "10.1007/s001980170070",
    "id": "koh-2001",
    "pmid": "11580084",
    "source": "Osteoporos Int. 2001;12(8):699-705",
    "title": "A simple tool to identify Asian women at increased risk of osteoporosis"
  },
  "formula": "osta",
  "formula_expression": "OSTA = trunc(0.2 * (weight_kg - age)); low if index > -1; intermediate if -1 to -4 inclusive; high if index < -4",
  "weight_kg": 50.0,
  "risk": "intermediate",
  "osta_index": -3
}

Client errors (HTTP 400)

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

HTTP Code When
400 invalid_age age must be an integer from 18 to 120 Returned before settlement; you are not charged.
400 invalid_weight weight_kg (1-500) or weight_lb (2-1100) is required 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

  • MUST — Sum Stratton 2004 MUST (BMI, unplanned weight-loss percent, and acute disease with no nutritional intake >5 days) and return score 0–6 with risk low, medium, or high.
  • BMI — Compute Keys/Quetelet body-mass index from height and weight, plus a WHO adult band.

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.