# HACOR score (Duan)

HACOR

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

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

## What it computes

Sum Duan 2017 HACOR (ESM Table 2) points from heart rate, pH, GCS, PaO2/FiO2, and respiratory rate and return low (≤5) or high (>5).

## When to use

When an agent needs the published HACOR total and ≤5 vs >5 band at 1 hour of NIV and must not invent an intubation or NIV-failure order or use GCS 10–12 / ≤9 tables.

## When not to use

- Not a medical device and not an intubation or NIV-failure order. magent does not read an ABG, GCS the patient, or a ventilator.
- Weights follow Duan 2017 ESM Table 2 only (max 25). GCS 15 → 0, 13–14 → 2, 11–12 → 5, ≤10 → 10. Do not use secondary tables that fold 10 into the 11–12 band.
- The paper compared ≤5 vs >5 at 1 hour of NIV in hypoxemic patients. The band is not an intubation order.
- Heart rate, pH, GCS, PaO2/FiO2, and respiratory rate are caller-supplied. magent does not measure them.

## Formula

```
HACOR = HR(≤120→0, ≥121→1) + pH(≥7.35→0, 7.30–7.34→2, 7.25–7.29→3, <7.25→4) + GCS(15→0, 13–14→2, 11–12→5, ≤10→10) + P/F(≥201→0, 176–200→2, 151–175→3, 126–150→4, 101–125→5, ≤100→6) + RR(≤30→0, 31–35→1, 36–40→2, 41–45→3, ≥46→4); Duan 2017 ESM Table 2; max 25; low ≤5, high >5
```

## Citation

[Assessment of heart rate, acidosis, consciousness, oxygenation, and respiratory rate to predict noninvasive ventilation failure in hypoxemic patients](https://doi.org/10.1007/s00134-016-4601-3)
Duan J, Han X, Bai L, Zhou L, Huang S
Intensive Care Med. 2017;43(2):192-199
DOI: [10.1007/s00134-016-4601-3](https://doi.org/10.1007/s00134-016-4601-3)

## Worked example

### All zero-point bands

Given: `gcs=15, heart_rate_bpm=80, pf_ratio=300, ph=7.40, respiratory_rate=18`

1. HR 80 → 0; pH 7.40 → 0; GCS 15 → 0; P/F 300 → 0; RR 18 → 0
2. Score = 0 (max 25); hacor_band = low (≤5)


### GCS 10 on an otherwise zero baseline

Given: `gcs=10, heart_rate_bpm=80, pf_ratio=300, ph=7.40, respiratory_rate=18`

1. GCS 10 → 10 (ESM Table 2 ≤10); remaining factors 0
2. Score = 10 (max 25); hacor_band = high (>5). Not an intubation order.


## Also searched as

- HACOR
- HACOR score
- Duan HACOR
- NIV failure score
- heart rate acidosis consciousness oxygenation respiratory rate
- HACOR NIV
- Duan 2017 HACOR
- hypoxemic NIV failure

## Parameters

- `heart_rate_bpm` (integer, required): Heart rate in beats/min (integer 30-220). Duan 2017 ESM Table 2: ≤120 → 0, ≥121 → 1.
- `ph` (number, required): Arterial pH (6.80-7.80). Duan 2017 ESM Table 2: ≥7.35 → 0, 7.30-7.34 → 2, 7.25-7.29 → 3, <7.25 → 4. magent does not read an ABG.
- `gcs` (integer, required): Total Glasgow Coma Scale 3-15 as assigned by the caller. Duan 2017 ESM Table 2: 15 → 0, 13-14 → 2, 11-12 → 5, ≤10 → 10. Not a GCS 10-12 / ≤9 table. magent does not GCS the patient.
- `pf_ratio` (number, required): PaO2/FiO2 ratio (20-800). Duan 2017 ESM Table 2: ≥201 → 0, 176-200 → 2, 151-175 → 3, 126-150 → 4, 101-125 → 5, ≤100 → 6. magent does not read an ABG or a ventilator.
- `respiratory_rate` (integer, required): Respiratory rate in breaths/min (integer 4-80). Duan 2017 ESM Table 2: ≤30 → 0, 31-35 → 1, 36-40 → 2, 41-45 → 3, ≥46 → 4.

## 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/hacor`
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": [
    {
      "gcs": "15",
      "heart_rate_bpm": "80",
      "pf_ratio": "300",
      "ph": "7.40",
      "respiratory_rate": "18"
    },
    {
      "gcs": "15",
      "heart_rate_bpm": "80",
      "pf_ratio": "300",
      "ph": "7.40",
      "respiratory_rate": "18"
    }
  ]
}
```

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

Example 200:

```json
{
  "count": 2,
  "path": "/api/calc/hacor",
  "items": [
    {
      "components": [
        {
          "value": 80,
          "factor": "heart_rate_bpm",
          "points": 0,
          "present": false
        },
        {
          "value": 7.4,
          "factor": "ph",
          "points": 0,
          "present": false
        },
        {
          "value": 15,
          "factor": "gcs",
          "points": 0,
          "present": false
        },
        {
          "value": 300.0,
          "factor": "pf_ratio",
          "points": 0,
          "present": false
        },
        {
          "value": 18,
          "factor": "respiratory_rate",
          "points": 0,
          "present": false
        }
      ],
      "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": "Duan J, Han X, Bai L, Zhou L, Huang S",
        "doi": "10.1007/s00134-016-4601-3",
        "id": "duan-2017",
        "pmid": "27812731",
        "source": "Intensive Care Med. 2017;43(2):192-199",
        "title": "Assessment of heart rate, acidosis, consciousness, oxygenation, and respiratory rate to predict noninvasive ventilation failure in hypoxemic patients"
      },
      "formula": "hacor",
      "formula_expression": "HACOR = HR(≤120→0, ≥121→1) + pH(≥7.35→0, 7.30–7.34→2, 7.25–7.29→3, <7.25→4) + GCS(15→0, 13–14→2, 11–12→5, ≤10→10) + P/F(≥201→0, 176–200→2, 151–175→3, 126–150→4, 101–125→5, ≤100→6) + RR(≤30→0, 31–35→1, 36–40→2, 41–45→3, ≥46→4); Duan 2017 ESM Table 2; max 25; low ≤5, high >5",
      "max_score": 25,
      "score": 0,
      "heart_rate_bpm": 80,
      "gcs": 15,
      "hacor_band": "low",
      "pf_ratio": 300.0,
      "ph": 7.4,
      "respiratory_rate": 18
    },
    {
      "components": [
        {
          "value": 80,
          "factor": "heart_rate_bpm",
          "points": 0,
          "present": false
        },
        {
          "value": 7.4,
          "factor": "ph",
          "points": 0,
          "present": false
        },
        {
          "value": 15,
          "factor": "gcs",
          "points": 0,
          "present": false
        },
        {
          "value": 300.0,
          "factor": "pf_ratio",
          "points": 0,
          "present": false
        },
        {
          "value": 18,
          "factor": "respiratory_rate",
          "points": 0,
          "present": false
        }
      ],
      "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": "Duan J, Han X, Bai L, Zhou L, Huang S",
        "doi": "10.1007/s00134-016-4601-3",
        "id": "duan-2017",
        "pmid": "27812731",
        "source": "Intensive Care Med. 2017;43(2):192-199",
        "title": "Assessment of heart rate, acidosis, consciousness, oxygenation, and respiratory rate to predict noninvasive ventilation failure in hypoxemic patients"
      },
      "formula": "hacor",
      "formula_expression": "HACOR = HR(≤120→0, ≥121→1) + pH(≥7.35→0, 7.30–7.34→2, 7.25–7.29→3, <7.25→4) + GCS(15→0, 13–14→2, 11–12→5, ≤10→10) + P/F(≥201→0, 176–200→2, 151–175→3, 126–150→4, 101–125→5, ≤100→6) + RR(≤30→0, 31–35→1, 36–40→2, 41–45→3, ≥46→4); Duan 2017 ESM Table 2; max 25; low ≤5, high >5",
      "max_score": 25,
      "score": 0,
      "heart_rate_bpm": 80,
      "gcs": 15,
      "hacor_band": "low",
      "pf_ratio": 300.0,
      "ph": 7.4,
      "respiratory_rate": 18
    }
  ]
}
```

## Response fields

- `formula` (string): hacor
- `formula_expression` (string): Exact expression used
- `score` (integer): HACOR points 0-25
- `max_score` (integer): Always 25
- `hacor_band` (string): low when score is ≤5, high when score is >5 (Duan 2017 comparison at 1 h of NIV). Not an intubation or NIV-failure order.
- `heart_rate_bpm` (integer): Heart rate used, bpm
- `ph` (number): Arterial pH used
- `gcs` (integer): Caller-assigned total GCS used
- `pf_ratio` (number): PaO2/FiO2 used
- `respiratory_rate` (integer): Respiratory rate used, breaths/min
- `components` (array): Per-factor points
- `citation` (object): Duan 2017 Intensive Care Med citation
- `disclaimer` (string): Not-a-device notice

## Example JSON

Frozen fixture. Not a live lookup.

```json
{
  "components": [
    {
      "value": 80,
      "factor": "heart_rate_bpm",
      "points": 0,
      "present": false
    },
    {
      "value": 7.4,
      "factor": "ph",
      "points": 0,
      "present": false
    },
    {
      "value": 15,
      "factor": "gcs",
      "points": 0,
      "present": false
    },
    {
      "value": 300.0,
      "factor": "pf_ratio",
      "points": 0,
      "present": false
    },
    {
      "value": 18,
      "factor": "respiratory_rate",
      "points": 0,
      "present": false
    }
  ],
  "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": "Duan J, Han X, Bai L, Zhou L, Huang S",
    "doi": "10.1007/s00134-016-4601-3",
    "id": "duan-2017",
    "pmid": "27812731",
    "source": "Intensive Care Med. 2017;43(2):192-199",
    "title": "Assessment of heart rate, acidosis, consciousness, oxygenation, and respiratory rate to predict noninvasive ventilation failure in hypoxemic patients"
  },
  "formula": "hacor",
  "formula_expression": "HACOR = HR(≤120→0, ≥121→1) + pH(≥7.35→0, 7.30–7.34→2, 7.25–7.29→3, <7.25→4) + GCS(15→0, 13–14→2, 11–12→5, ≤10→10) + P/F(≥201→0, 176–200→2, 151–175→3, 126–150→4, 101–125→5, ≤100→6) + RR(≤30→0, 31–35→1, 36–40→2, 41–45→3, ≥46→4); Duan 2017 ESM Table 2; max 25; low ≤5, high >5",
  "max_score": 25,
  "score": 0,
  "heart_rate_bpm": 80,
  "gcs": 15,
  "hacor_band": "low",
  "pf_ratio": 300.0,
  "ph": 7.4,
  "respiratory_rate": 18
}
```

## Errors

- HTTP 400 `invalid_heart_rate`: heart_rate_bpm must be an integer from 30 to 220 Returned before settlement; you are not charged.
- HTTP 400 `invalid_ph`: ph must be a number from 6.80 to 7.80 (Duan 2017 HACOR). Returned before settlement; you are not charged.
- HTTP 400 `invalid_gcs_total`: gcs must be an integer from 3 to 15. Returned before settlement; you are not charged.
- HTTP 400 `invalid_pf_ratio`: pf_ratio must be a number from 20 to 800. Returned before settlement; you are not charged.
- HTTP 400 `invalid_respiratory_rate`: respiratory_rate must be an integer from 4 to 80. 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

- [ROX index](https://magentlab.com/docs/rox) — Compute the ROX index as pulse-oximetry SpO2 percent divided by inspired oxygen fraction, then divided by respiratory rate.
- [PaO2/FiO2 ratio](https://magentlab.com/docs/pf-ratio) — Compute the PaO2/FiO2 ratio as arterial PO2 in mm Hg divided by inspired oxygen fraction.
- [Rapid shallow breathing index](https://magentlab.com/docs/rsbi) — Compute the Yang and Tobin rapid shallow breathing index as respiratory rate in breaths/min divided by tidal volume in liters.

## 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.
- 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.
