Electrolytes / glucose · LIVE

Maximum normal ESR

Miller ESR

Compute the Miller 1983 adult maximum normal erythrocyte sedimentation rate in mm/h from age and sex. Men: age/2. Women: (age + 10)/2. Returns the threshold only.

LIVE $0.005 USDC GET /api/calc/miller_esr

Markdown: /docs/miller-esr.md · Canonical: https://magentlab.com/docs/miller-esr

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

What it computes

Compute the Miller 1983 adult maximum normal erythrocyte sedimentation rate in mm/h from age and sex. Men: age/2. Women: (age + 10)/2. Returns the threshold only.

When to use

When an agent needs the published adult maximum normal ESR and must not invent a measured-ESR comparison, CRP, or an elevated/normal diagnosis.

When not to use

• Not a medical device. Not a diagnosis of inflammation, infection, or vasculitis.
• magent does not measure ESR. This tool returns only the Miller 1983 maximum normal threshold (mm/h), not a comparison to a laboratory value.
• Miller 1983 is age and sex only. Does not apply Wener 2000 CRP, pediatric ESR, or later population-specific cutoffs.

Formula

men: max_normal_esr = age / 2; women: max_normal_esr = (age + 10) / 2

Citation

Title

Simple rule for calculating normal erythrocyte sedimentation rate

Authors

Miller A, Green M, Robinson D

Source

Br Med J (Clin Res Ed). 1983;286(6361):266

DOI

10.1136/bmj.286.6361.266

Worked example

Also searched as

• Miller ESR
• maximum normal ESR
• age adjusted ESR
• ESR upper limit of normal
• erythrocyte sedimentation rate miller
• Miller 1983 ESR rule

Try

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

/api/calc/miller_esr?age=40&sex=male

Full URL: https://api.magentlab.com/api/calc/miller_esr?age=40&sex=male

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/miller_esr?age=40&sex=male"

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/miller_esr 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": "40",
      "sex": "male"
    },
    {
      "age": "40",
      "sex": "male"
    }
  ]
}

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/miller_esr",
  "items": [
    {
      "age": 40,
      "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": "Miller A, Green M, Robinson D",
        "doi": "10.1136/bmj.286.6361.266",
        "id": "miller-1983",
        "pmid": "6402065",
        "source": "Br Med J (Clin Res Ed). 1983;286(6361):266",
        "title": "Simple rule for calculating normal erythrocyte sedimentation rate"
      },
      "formula": "miller_1983",
      "formula_expression": "men: max_normal_esr = age / 2; women: max_normal_esr = (age + 10) / 2",
      "sex": "male",
      "max_normal_esr": 20.0
    },
    {
      "age": 40,
      "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": "Miller A, Green M, Robinson D",
        "doi": "10.1136/bmj.286.6361.266",
        "id": "miller-1983",
        "pmid": "6402065",
        "source": "Br Med J (Clin Res Ed). 1983;286(6361):266",
        "title": "Simple rule for calculating normal erythrocyte sedimentation rate"
      },
      "formula": "miller_1983",
      "formula_expression": "men: max_normal_esr = age / 2; women: max_normal_esr = (age + 10) / 2",
      "sex": "male",
      "max_normal_esr": 20.0
    }
  ]
}

Response

Example JSON

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

{
  "age": 40,
  "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": "Miller A, Green M, Robinson D",
    "doi": "10.1136/bmj.286.6361.266",
    "id": "miller-1983",
    "pmid": "6402065",
    "source": "Br Med J (Clin Res Ed). 1983;286(6361):266",
    "title": "Simple rule for calculating normal erythrocyte sedimentation rate"
  },
  "formula": "miller_1983",
  "formula_expression": "men: max_normal_esr = age / 2; women: max_normal_esr = (age + 10) / 2",
  "sex": "male",
  "max_normal_esr": 20.0
}

Client errors (HTTP 400)

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

Related tools

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• ACR/EULAR RA — Apply the 2010 ACR/EULAR rheumatoid arthritis classification criteria (Aletaha Table 3): require definite clinical synovitis, sum joint involvement, serology, acute-phase reactants, and symptom duration (max 10), and return whether score ≥6 or typical RA erosions classify RA. Not a diagnosis.

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.