# Pediatric appendicitis score

Pediatric appendicitis score

Status: WEDGE
Price: $0.005 USDC
`GET /api/calc/pas`
HTML: https://magentlab.com/docs/pas
Markdown: https://magentlab.com/docs/pas.md

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

## What it computes

Compute the Samuel 2002 pediatric appendicitis score from eight caller-assigned findings in children aged 4-15.

## When to use

When an agent needs the published Samuel 2002 PAS total and must not invent fever or laboratory cutoffs, treat the total as an operating-room protocol, or substitute Alvarado 1986 (MANTRELS).

## When not to use

- Not a medical device and not a diagnosis or operating-room protocol.
- Samuel 2002 derivation ages 4-15 only. Age does not add points.
- This is Samuel 2002 PAS, not Alvarado 1986 (MANTRELS). Pyrexia, leukocytosis, and neutrophilia are caller-assigned flags; magent does not apply unpublished °C or WBC cutoffs.
- Findings are caller-assigned. magent does not examine the abdomen.

## Formula

```
PAS = 2*cough_percussion_hopping_rlq + anorexia + pyrexia + nausea_emesis + 2*rif_tenderness + leukocytosis + neutrophilia + migration; max 10
```

## Citation

[Pediatric appendicitis score](https://doi.org/10.1053/jpsu.2002.32893)
Samuel M
J Pediatr Surg. 2002;37(6):877-881
DOI: [10.1053/jpsu.2002.32893](https://doi.org/10.1053/jpsu.2002.32893)

## Worked example

### Age 10, all flags false

Given: `age=10, anorexia=false, cough_percussion_hopping_rlq=false, leukocytosis=false, migration=false, nausea_emesis=false, neutrophilia=false, pyrexia=false, rif_tenderness=false`

1. Age 10 (in 4-15). Eight flags false.
2. Score = 0; max 10. Age does not add points.


## Also searched as

- pediatric appendicitis score
- samuel
- pas
- appendicitis
- samuel 2002
- pediatric appendicitis

## Parameters

- `age` (integer, required): Age in years as an integer from 4 to 15 (Samuel 2002 derivation cohort). Age does not add points. 3 and 16 are rejected.
- `cough_percussion_hopping_rlq` (boolean, required): Cough, percussion, or hopping tenderness in the right lower quadrant (Samuel physical sign 1). true scores 2; false scores 0.
- `anorexia` (boolean, required): Anorexia (Samuel). true scores 1; false scores 0.
- `pyrexia` (boolean, required): Caller-assigned pyrexia (Samuel named pyrexia; the derivation paper does not publish a °C cutoff). true scores 1; false scores 0.
- `nausea_emesis` (boolean, required): Nausea or emesis (Samuel). true scores 1; false scores 0.
- `rif_tenderness` (boolean, required): Tenderness over the right iliac fossa (Samuel physical sign 5). true scores 2; false scores 0.
- `leukocytosis` (boolean, required): Caller-assigned leukocytosis (Samuel 2002; no published WBC cutoff). true scores 1; false scores 0.
- `neutrophilia` (boolean, required): Caller-assigned neutrophilia (Samuel 2002; no published percent or count cutoff). true scores 1; false scores 0.
- `migration` (boolean, required): Migration of pain (Samuel). true scores 1; false scores 0.

## 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/pas`
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": "10",
      "anorexia": "false",
      "cough_percussion_hopping_rlq": "false",
      "leukocytosis": "false",
      "migration": "false",
      "nausea_emesis": "false",
      "neutrophilia": "false",
      "pyrexia": "false",
      "rif_tenderness": "false"
    },
    {
      "age": "10",
      "anorexia": "false",
      "cough_percussion_hopping_rlq": "false",
      "leukocytosis": "false",
      "migration": "false",
      "nausea_emesis": "false",
      "neutrophilia": "false",
      "pyrexia": "false",
      "rif_tenderness": "false"
    }
  ]
}
```

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

Example 200:

```json
{
  "count": 2,
  "path": "/api/calc/pas",
  "items": [
    {
      "components": [
        {
          "factor": "cough_percussion_hopping_rlq",
          "points": 0,
          "present": false
        },
        {
          "factor": "anorexia",
          "points": 0,
          "present": false
        },
        {
          "factor": "pyrexia",
          "points": 0,
          "present": false
        },
        {
          "factor": "nausea_emesis",
          "points": 0,
          "present": false
        },
        {
          "factor": "rif_tenderness",
          "points": 0,
          "present": false
        },
        {
          "factor": "leukocytosis",
          "points": 0,
          "present": false
        },
        {
          "factor": "neutrophilia",
          "points": 0,
          "present": false
        },
        {
          "factor": "migration",
          "points": 0,
          "present": false
        }
      ],
      "age": 10,
      "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": "Samuel M",
        "doi": "10.1053/jpsu.2002.32893",
        "id": "samuel-2002",
        "pmid": "12037754",
        "source": "J Pediatr Surg. 2002;37(6):877-881",
        "title": "Pediatric appendicitis score"
      },
      "formula": "pas",
      "formula_expression": "PAS = 2*cough_percussion_hopping_rlq + anorexia + pyrexia + nausea_emesis + 2*rif_tenderness + leukocytosis + neutrophilia + migration; max 10",
      "max_score": 10,
      "score": 0
    },
    {
      "components": [
        {
          "factor": "cough_percussion_hopping_rlq",
          "points": 0,
          "present": false
        },
        {
          "factor": "anorexia",
          "points": 0,
          "present": false
        },
        {
          "factor": "pyrexia",
          "points": 0,
          "present": false
        },
        {
          "factor": "nausea_emesis",
          "points": 0,
          "present": false
        },
        {
          "factor": "rif_tenderness",
          "points": 0,
          "present": false
        },
        {
          "factor": "leukocytosis",
          "points": 0,
          "present": false
        },
        {
          "factor": "neutrophilia",
          "points": 0,
          "present": false
        },
        {
          "factor": "migration",
          "points": 0,
          "present": false
        }
      ],
      "age": 10,
      "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": "Samuel M",
        "doi": "10.1053/jpsu.2002.32893",
        "id": "samuel-2002",
        "pmid": "12037754",
        "source": "J Pediatr Surg. 2002;37(6):877-881",
        "title": "Pediatric appendicitis score"
      },
      "formula": "pas",
      "formula_expression": "PAS = 2*cough_percussion_hopping_rlq + anorexia + pyrexia + nausea_emesis + 2*rif_tenderness + leukocytosis + neutrophilia + migration; max 10",
      "max_score": 10,
      "score": 0
    }
  ]
}
```

## Response fields

- `formula` (string): pas
- `formula_expression` (string): Exact expression used
- `score` (integer): Total points 0-10
- `max_score` (integer): Always 10
- `age` (integer): Age in years used (4-15). Age does not add points.
- `components` (array): Per-factor Samuel 2002 points
- `citation` (object): Samuel 2002 citation
- `disclaimer` (string): Not-a-device notice

## Example JSON

Frozen fixture. Not a live lookup.

```json
{
  "components": [
    {
      "factor": "cough_percussion_hopping_rlq",
      "points": 0,
      "present": false
    },
    {
      "factor": "anorexia",
      "points": 0,
      "present": false
    },
    {
      "factor": "pyrexia",
      "points": 0,
      "present": false
    },
    {
      "factor": "nausea_emesis",
      "points": 0,
      "present": false
    },
    {
      "factor": "rif_tenderness",
      "points": 0,
      "present": false
    },
    {
      "factor": "leukocytosis",
      "points": 0,
      "present": false
    },
    {
      "factor": "neutrophilia",
      "points": 0,
      "present": false
    },
    {
      "factor": "migration",
      "points": 0,
      "present": false
    }
  ],
  "age": 10,
  "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": "Samuel M",
    "doi": "10.1053/jpsu.2002.32893",
    "id": "samuel-2002",
    "pmid": "12037754",
    "source": "J Pediatr Surg. 2002;37(6):877-881",
    "title": "Pediatric appendicitis score"
  },
  "formula": "pas",
  "formula_expression": "PAS = 2*cough_percussion_hopping_rlq + anorexia + pyrexia + nausea_emesis + 2*rif_tenderness + leukocytosis + neutrophilia + migration; max 10",
  "max_score": 10,
  "score": 0
}
```

## Errors

- HTTP 400 `invalid_pas_age`: age must be an integer from 4 to 15 (Samuel 2002). Returned before settlement; you are not charged.
- HTTP 400 `invalid_flag`: boolean clinical flags must be true or false 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

- [Alvarado score](https://magentlab.com/docs/alvarado) — Compute the Alvarado 1986 MANTRELS score from caller-assigned findings, temperature, WBC, and neutrophil percent.

## 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 echoing accepted, payload, and extensions when present).
- 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.
- 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.
