# DAS28-CRP (28-joint Disease Activity Score)

DAS28-CRP

Status: LIVE
Price: $0.005 USDC
`GET /api/calc/das28_crp`
HTML: https://magentlab.com/docs/das28-crp
Markdown: https://magentlab.com/docs/das28-crp.md

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

## What it computes

Compute the Wells 2009 28-joint Disease Activity Score based on C-reactive protein from caller-assigned TJC28, SJC28, CRP in mg/L, and 0–100 mm general health, including the +0.96 constant, and return DAS28-defined remission when the score is <2.6.

## When to use

When an agent already has caller-assigned 28-joint tender and swollen counts, CRP in mg/L, and general health on a 0–100 mm VAS and needs the published Wells 2009 DAS28(CRP), not DAS28-ESR, not SDAI (CRP mg/dL and 0–10 globals), and not CDAI.

## When not to use

- Not a medical device and not a rheumatoid arthritis diagnosis or a treatment order.
- magent does not count joints or assay CRP. tjc28, sjc28, crp_mg_l, and gh are caller-assigned. CRP is mg/L as published, not mg/dL (SDAI). GH is 0–100 mm VAS, not 0–10 cm. The 0–500 CRP range is a magent clamp.
- Computes DAS28(CRP) only, including the +0.96 constant. Does not compute DAS28(ESR). Not SDAI. Not CDAI.
- Wells 2009 classifies DAS28-defined remission as a score <2.6. EULAR good/moderate/none response in that paper needs a prior DAS28 and is not this tool. magent does not apply 3.2/5.1 as single-visit activity bands.

## Formula

```
DAS28(CRP) = 0.56*sqrt(tjc28) + 0.28*sqrt(sjc28) + 0.014*gh + 0.36*ln(crp_mg_l+1) + 0.96; Wells 2009; CRP mg/L; GH 0-100 mm VAS; remission DAS28<2.6; not DAS28-ESR; not SDAI; not CDAI; magent does not count joints or assay CRP
```

## Citation

[Validation of the 28-joint Disease Activity Score (DAS28) and European League Against Rheumatism response criteria based on C-reactive protein against disease progression in patients with rheumatoid arthritis, and comparison with the DAS28 based on erythrocyte sedimentation rate](https://doi.org/10.1136/ard.2007.084459)
Wells G, Becker JC, Teng J, Dougados M, Schiff M, Smolen J, Aletaha D, van Riel PLCM
Ann Rheum Dis. 2009;68(6):954-960
DOI: [10.1136/ard.2007.084459](https://doi.org/10.1136/ard.2007.084459)

## Worked example

### TJC 0, SJC 0, CRP 1 mg/L, GH 0

Given: `crp_mg_l=1, gh=0, sjc28=0, tjc28=0`

1. sqrt(tjc28) and sqrt(sjc28) are 0; 0.014*gh is 0
2. 0.36*ln(1+1) + 0.96 = 0.36*ln(2)+0.96
3. score 1.21 (<2.6), das28_crp_band remission


### Clinical zeros isolate the +0.96 constant

Given: `crp_mg_l=0, gh=0, sjc28=0, tjc28=0`

1. ln(0+1) = 0; joint square roots 0; GH term 0
2. score = 0.96 (<2.6), das28_crp_band remission


## Also searched as

- DAS28 CRP
- DAS28-CRP
- 28-joint disease activity score CRP
- Wells DAS28 CRP
- DAS28 C-reactive protein
- RA DAS28 CRP
- DAS28 CRP remission

## Parameters

- `tjc28` (integer, required): Caller-assigned tender joint count on the 28-joint set (Wells 2009 DAS28-CRP). Integer 0-28. magent does not count joints.
- `sjc28` (integer, required): Caller-assigned swollen joint count on the 28-joint set (Wells 2009 DAS28-CRP). Integer 0-28. magent does not count joints.
- `crp_mg_l` (number, required): Caller-assigned C-reactive protein in mg/L (Wells 2009; not mg/dL SDAI). Number 0-500 is a magent clamp. magent does not assay CRP.
- `gh` (number, required): Caller-assigned general health (patient assessment) on a 0-100 mm VAS (Wells 2009; 0=best, 100=worst). Number 0-100. Not 0-10 cm SDAI PGA. magent does not examine the patient.

## 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/das28_crp`
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": [
    {
      "crp_mg_l": "1",
      "gh": "0",
      "sjc28": "0",
      "tjc28": "0"
    },
    {
      "crp_mg_l": "1",
      "gh": "0",
      "sjc28": "0",
      "tjc28": "0"
    }
  ]
}
```

Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/das28-crp

Example 200:

```json
{
  "count": 2,
  "path": "/api/calc/das28_crp",
  "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": "Wells G, Becker JC, Teng J, Dougados M, Schiff M, Smolen J, Aletaha D, van Riel PLCM",
        "doi": "10.1136/ard.2007.084459",
        "id": "wells-2009",
        "pmid": "18490431",
        "source": "Ann Rheum Dis. 2009;68(6):954-960",
        "title": "Validation of the 28-joint Disease Activity Score (DAS28) and European League Against Rheumatism response criteria based on C-reactive protein against disease progression in patients with rheumatoid arthritis, and comparison with the DAS28 based on erythrocyte sedimentation rate"
      },
      "formula": "das28_crp",
      "formula_expression": "DAS28(CRP) = 0.56*sqrt(tjc28) + 0.28*sqrt(sjc28) + 0.014*gh + 0.36*ln(crp_mg_l+1) + 0.96; Wells 2009; CRP mg/L; GH 0-100 mm VAS; remission DAS28<2.6; not DAS28-ESR; not SDAI; not CDAI; magent does not count joints or assay CRP",
      "score": 1.21,
      "crp_mg_l": 1.0,
      "sjc28": 0,
      "tjc28": 0,
      "das28_crp_band": "remission",
      "gh": 0.0
    },
    {
      "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": "Wells G, Becker JC, Teng J, Dougados M, Schiff M, Smolen J, Aletaha D, van Riel PLCM",
        "doi": "10.1136/ard.2007.084459",
        "id": "wells-2009",
        "pmid": "18490431",
        "source": "Ann Rheum Dis. 2009;68(6):954-960",
        "title": "Validation of the 28-joint Disease Activity Score (DAS28) and European League Against Rheumatism response criteria based on C-reactive protein against disease progression in patients with rheumatoid arthritis, and comparison with the DAS28 based on erythrocyte sedimentation rate"
      },
      "formula": "das28_crp",
      "formula_expression": "DAS28(CRP) = 0.56*sqrt(tjc28) + 0.28*sqrt(sjc28) + 0.014*gh + 0.36*ln(crp_mg_l+1) + 0.96; Wells 2009; CRP mg/L; GH 0-100 mm VAS; remission DAS28<2.6; not DAS28-ESR; not SDAI; not CDAI; magent does not count joints or assay CRP",
      "score": 1.21,
      "crp_mg_l": 1.0,
      "sjc28": 0,
      "tjc28": 0,
      "das28_crp_band": "remission",
      "gh": 0.0
    }
  ]
}
```

## Response fields

- `formula` (string): das28_crp
- `formula_expression` (string): Exact expression used
- `score` (number): Wells 2009 DAS28(CRP), 2 decimals. 0.56*sqrt(tjc28)+0.28*sqrt(sjc28)+0.014*gh+0.36*ln(crp_mg_l+1)+0.96
- `das28_crp_band` (string): Wells 2009 DAS28-defined remission when score < 2.6; otherwise not_remission. Does not apply EULAR 3.2/5.1 present-score cutoffs as single-visit activity bands.
- `tjc28` (integer): Tender 28-joint count used
- `sjc28` (integer): Swollen 28-joint count used
- `crp_mg_l` (number): CRP in mg/L used
- `gh` (number): General health 0-100 mm VAS used
- `citation` (object): Wells et al. Ann Rheum Dis 2009 citation
- `disclaimer` (string): Not-a-device notice

## Example JSON

Frozen fixture. Not a live lookup.

```json
{
  "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": "Wells G, Becker JC, Teng J, Dougados M, Schiff M, Smolen J, Aletaha D, van Riel PLCM",
    "doi": "10.1136/ard.2007.084459",
    "id": "wells-2009",
    "pmid": "18490431",
    "source": "Ann Rheum Dis. 2009;68(6):954-960",
    "title": "Validation of the 28-joint Disease Activity Score (DAS28) and European League Against Rheumatism response criteria based on C-reactive protein against disease progression in patients with rheumatoid arthritis, and comparison with the DAS28 based on erythrocyte sedimentation rate"
  },
  "formula": "das28_crp",
  "formula_expression": "DAS28(CRP) = 0.56*sqrt(tjc28) + 0.28*sqrt(sjc28) + 0.014*gh + 0.36*ln(crp_mg_l+1) + 0.96; Wells 2009; CRP mg/L; GH 0-100 mm VAS; remission DAS28<2.6; not DAS28-ESR; not SDAI; not CDAI; magent does not count joints or assay CRP",
  "score": 1.21,
  "crp_mg_l": 1.0,
  "sjc28": 0,
  "tjc28": 0,
  "das28_crp_band": "remission",
  "gh": 0.0
}
```

## Errors

- HTTP 400 `invalid_das28_crp`: DAS28-CRP inputs must match Wells 2009 28-joint counts, CRP mg/L, and 0-100 general health. 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

- [CDAI-RA](https://magentlab.com/docs/cdai-ra) — Sum caller-assigned 28-joint swollen and tender counts and 0–10 cm patient and evaluator globals and return the Aletaha 2005 Clinical Disease Activity Index. Does not add CRP and does not return activity-state cutoffs.
- [SDAI](https://magentlab.com/docs/sdai) — Sum caller-assigned 28-joint swollen and tender counts, 0–10 cm patient and evaluator globals, and CRP in mg/dL, and return the Aletaha 2005 SDAI with the newly proposed activity state.
- [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.

## 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.
