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DAS28-ESR (Prevoo 1995)
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.
Markdown: /docs/das28-esr.md · Canonical: https://magentlab.com/docs/das28-esr
Not a medical device. Not a diagnosis, dose, or listing recommendation.
What it computes
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.
When to use
When an agent already has 28-joint tender and swollen counts, ESR in mm/h, and a 0-100 mm patient global and needs the Prevoo 1995 DAS28-ESR arithmetic, not SDAI, not CDAI, not DAS28-CRP, and not later EULAR 2.6/3.2/5.1 cutoffs.
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 ESR. tjc28, sjc28, esr_mm_h, and gh are caller-assigned. GH is millimetres on a 0-100 VAS, not 0-10 cm CDAI/SDAI.
- Prevoo 1995 publishes this 28-joint DAS and discriminates high vs low activity by rheumatologist decision. It does not publish the later EULAR 2.6 / 3.2 / 5.1 cutoffs. magent returns the score only.
- Not SDAI. Not CDAI. Not DAS28-CRP.
Formula
DAS28-ESR = 0.56*sqrt(tjc28) + 0.28*sqrt(sjc28) + 0.70*ln(esr_mm_h) + 0.014*gh; Prevoo 1995; TJC28 and SJC28 integers 0-28; ESR mm/h strictly >0 (typical 1-150, natural log); GH 0-100 mm VAS (not 0-10 CDAI/SDAI); magent does not count joints or assay ESR; no EULAR 2.6/3.2/5.1 cutoffs
Citation
- Authors
- Prevoo ML, van 't Hof MA, Kuper HH, van Leeuwen MA, van de Putte LB, van Riel PL
- Source
- Arthritis Rheum. 1995;38(1):44-48
Worked example
Zero joints, ESR 10 mm/h, GH 0
Given:
esr_mm_h=10gh=0sjc28=0tjc28=0
- sqrt(tjc28) and sqrt(sjc28) are 0; 0.014*gh is 0
- score = 0.70*ln(10) = 1.6118
GH 50 mm with ESR 1 mm/h isolates the 0-100 VAS term
Given:
esr_mm_h=1gh=50sjc28=0tjc28=0
- ln(1) = 0; joint sqrt terms are 0
- score = 0.014*50 = 0.7 (GH is 0-100 mm, not 0-10 cm)
Also searched as
- DAS28-ESR
- 28-joint disease activity score ESR
- Prevoo DAS28
- DAS28 erythrocyte sedimentation rate
- RA DAS28 ESR
- modified DAS 28-joint
Try
Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.
/api/calc/das28_esr?tjc28=0&sjc28=0&esr_mm_h=10&gh=0
Full URL: https://api.magentlab.com/api/calc/das28_esr?tjc28=0&sjc28=0&esr_mm_h=10&gh=0
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/das28_esr?tjc28=0&sjc28=0&esr_mm_h=10&gh=0"
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
tjc28 |
integer | required | Caller-assigned tender joint count on the 28-joint set (Prevoo 1995). Integer 0-28. magent does not count joints. |
sjc28 |
integer | required | Caller-assigned swollen joint count on the 28-joint set (Prevoo 1995). Integer 0-28. magent does not count joints. |
esr_mm_h |
number | required | Caller-assigned erythrocyte sedimentation rate in mm/h. Strictly >0 (typical 1-150 magent clamp). Natural log in the formula. magent does not assay ESR. |
gh |
number | required | Caller-assigned patient general health on a 0-100 mm VAS (Prevoo 1995). Number 0-100. Not 0-10 CDAI/SDAI centimetres. 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.
- 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": [
{
"esr_mm_h": "10",
"gh": "0",
"sjc28": "0",
"tjc28": "0"
},
{
"esr_mm_h": "10",
"gh": "0",
"sjc28": "0",
"tjc28": "0"
}
]
}
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/das28_esr",
"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": "Prevoo ML, van 't Hof MA, Kuper HH, van Leeuwen MA, van de Putte LB, van Riel PL",
"doi": "10.1002/art.1780380107",
"id": "prevoo-1995",
"pmid": "7818570",
"source": "Arthritis Rheum. 1995;38(1):44-48",
"title": "Modified disease activity scores that include twenty-eight-joint counts. Development and validation in a prospective longitudinal study of patients with rheumatoid arthritis"
},
"formula": "das28_esr",
"formula_expression": "DAS28-ESR = 0.56*sqrt(tjc28) + 0.28*sqrt(sjc28) + 0.70*ln(esr_mm_h) + 0.014*gh; Prevoo 1995; TJC28 and SJC28 integers 0-28; ESR mm/h strictly >0 (typical 1-150, natural log); GH 0-100 mm VAS (not 0-10 CDAI/SDAI); magent does not count joints or assay ESR; no EULAR 2.6/3.2/5.1 cutoffs",
"score": 1.6118,
"sjc28": 0,
"tjc28": 0,
"gh": 0.0,
"esr_mm_h": 10.0
},
{
"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": "Prevoo ML, van 't Hof MA, Kuper HH, van Leeuwen MA, van de Putte LB, van Riel PL",
"doi": "10.1002/art.1780380107",
"id": "prevoo-1995",
"pmid": "7818570",
"source": "Arthritis Rheum. 1995;38(1):44-48",
"title": "Modified disease activity scores that include twenty-eight-joint counts. Development and validation in a prospective longitudinal study of patients with rheumatoid arthritis"
},
"formula": "das28_esr",
"formula_expression": "DAS28-ESR = 0.56*sqrt(tjc28) + 0.28*sqrt(sjc28) + 0.70*ln(esr_mm_h) + 0.014*gh; Prevoo 1995; TJC28 and SJC28 integers 0-28; ESR mm/h strictly >0 (typical 1-150, natural log); GH 0-100 mm VAS (not 0-10 CDAI/SDAI); magent does not count joints or assay ESR; no EULAR 2.6/3.2/5.1 cutoffs",
"score": 1.6118,
"sjc28": 0,
"tjc28": 0,
"gh": 0.0,
"esr_mm_h": 10.0
}
]
}
Response
| Field | Type | Description |
|---|---|---|
formula |
string | das28_esr |
formula_expression |
string | Exact expression used |
score |
number | Prevoo 1995 DAS28-ESR, 4 decimals. No EULAR 2.6/3.2/5.1 activity-state cutoffs. |
tjc28 |
integer | Tender 28-joint count used |
sjc28 |
integer | Swollen 28-joint count used |
esr_mm_h |
number | ESR in mm/h used |
gh |
number | Patient general health 0-100 mm VAS used |
citation |
object | Prevoo et al. Arthritis Rheum 1995 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": "Prevoo ML, van 't Hof MA, Kuper HH, van Leeuwen MA, van de Putte LB, van Riel PL",
"doi": "10.1002/art.1780380107",
"id": "prevoo-1995",
"pmid": "7818570",
"source": "Arthritis Rheum. 1995;38(1):44-48",
"title": "Modified disease activity scores that include twenty-eight-joint counts. Development and validation in a prospective longitudinal study of patients with rheumatoid arthritis"
},
"formula": "das28_esr",
"formula_expression": "DAS28-ESR = 0.56*sqrt(tjc28) + 0.28*sqrt(sjc28) + 0.70*ln(esr_mm_h) + 0.014*gh; Prevoo 1995; TJC28 and SJC28 integers 0-28; ESR mm/h strictly >0 (typical 1-150, natural log); GH 0-100 mm VAS (not 0-10 CDAI/SDAI); magent does not count joints or assay ESR; no EULAR 2.6/3.2/5.1 cutoffs",
"score": 1.6118,
"sjc28": 0,
"tjc28": 0,
"gh": 0.0,
"esr_mm_h": 10.0
}
Client errors (HTTP 400)
Invalid params return 400 without charge. Shared HTTP 402 and 503 meanings: Payments.
| HTTP | Code | When |
|---|---|---|
| 400 | invalid_das28_esr |
DAS28-ESR inputs must match Prevoo 1995 28-joint counts, ESR, and 0-100 general health. 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
- 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 — 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.
- 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.