# Maximum normal ESR Miller ESR Status: LIVE Price: $0.005 USDC `GET /api/calc/miller_esr` HTML: https://magentlab.com/docs/miller-esr Markdown: https://magentlab.com/docs/miller-esr.md 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 [Simple rule for calculating normal erythrocyte sedimentation rate](https://doi.org/10.1136/bmj.286.6361.266) Miller A, Green M, Robinson D Br Med J (Clin Res Ed). 1983;286(6361):266 DOI: [10.1136/bmj.286.6361.266](https://doi.org/10.1136/bmj.286.6361.266) ## Worked example ### 40-year-old man Given: `age=40, sex=male` 1. max_normal_esr = 40 / 2 = 20 ### 40-year-old woman Given: `age=40, sex=female` 1. max_normal_esr = (40 + 10) / 2 = 25 ## Also searched as - Miller ESR - maximum normal ESR - age adjusted ESR - ESR upper limit of normal - erythrocyte sedimentation rate miller - Miller 1983 ESR rule ## Parameters - `age` (integer, required): Age in years (integer 20-90). Miller 1983 adult range. - `sex` (string, required): Sex for the published rule (female or male). ## 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. Method: `POST /api/calc/miller_esr` Max items: 25 Price: unit_amount + extra_item_amount * (n - 1) (unit 5000 atomic, extra 2000 atomic) Status: 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: ```json { "items": [ { "age": "40", "sex": "male" }, { "age": "40", "sex": "male" } ] } ``` Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/miller-esr Example 200: ```json { "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 fields - `formula` (string): miller_1983 - `formula_expression` (string): Exact expression used - `age` (integer): Age in years used - `sex` (string): male or female - `max_normal_esr` (number): Adult maximum normal ESR in mm/h (Miller 1983 98th percentile approximation). Integer or one decimal. - `citation` (object): Miller 1983 BMJ citation - `disclaimer` (string): Not-a-device notice ## Example JSON Frozen fixture. Not a live lookup. ```json { "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 } ``` ## Errors - HTTP 400 `invalid_miller_age`: age must be an integer from 20 to 90 (Miller 1983 adult ESR rule). Returned before settlement; you are not charged. - HTTP 400 `invalid_sex`: sex must be female or male Returned before settlement; you are not charged. - HTTP 400 `invalid_items`: POST body must be a JSON object with only an items array Returned before settlement; you are not charged. - HTTP 400 `invalid_item_count`: items must be an array of 1 to 25 objects Returned before settlement; you are not charged. - HTTP 400 `invalid_item`: each items entry must be a JSON object Returned before settlement; you are not charged. Shared HTTP 402 and 503: https://magentlab.com/docs/payments ## Related tools - [DAS28-ESR](https://magentlab.com/docs/das28-esr) — Compute the Prevoo 1995 28-joint DAS with ESR from caller-assigned tender and swollen 28-joint counts, ESR in mm/h, and patient general health on a 0-100 mm VAS. Returns the published score only. - [ACR/EULAR RA](https://magentlab.com/docs/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. - GET the tool with Accept: application/json (do not send Accept: text/html unless you want the human paywall). - HTTP 402 means you have not paid. Decode the base64 PAYMENT-REQUIRED header. HTTP 503 is not a new quote. - Sign accepts[0] (exact, EIP-3009) with validBefore = now + maxTimeoutSeconds (600 seconds), or accepts[1] (batch-settlement deposit/voucher) on product GET. Ping and POST {items} stay exact. Magent retries transient facilitator 429/5xx before answering. - Retry the same URL with PAYMENT-SIGNATURE (base64 JSON of accepted and payload). Magent attaches canonical extensions.bazaar on CDP verify/settle; echoing 402 bazaar is optional. - Success is HTTP 200 JSON plus PAYMENT-RESPONSE. exact settles before the tool. batch-settlement verifies (and deposit-settles) before the tool and commits the charge after HTTP 2xx. HTTP 503: retry the same PAYMENT-SIGNATURE. Mint a new exact nonce only after a new HTTP 402. - offered `exact` on eip155:8453: Fixed-price USDC on Base. The buyer authorizes the advertised amount (EIP-3009). magent settles before the tool runs (paymentFlow upfront). extra.assetTransferMethod=eip3009 extra.paymentFlow=upfront. - offered `batch-settlement` on eip155:8453: Payment-channel vouchers claimed later in batches. Exact stays accepts[0]. Same-path POST {items} is still exact. extra.assetTransferMethod=eip3009 extra.paymentFlow=authorization. - not offered `upto`: Not offered. Usage-based: buyer authorizes a ceiling, seller settles the actual amount after work. Reserved for a future metered tool. Not for current calculators or code search. Same-path POST {items} is still scheme exact: one EIP-3009 authorization for GET unit plus $0.002 per extra item. That is not x402 batch-settlement (payment channels / vouchers). Shared HTTP 402 and 503 table: https://magentlab.com/docs/payments Stdio MCP (one process per host): https://magentlab.com/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.