Respiratory · LIVE
HACOR score (Duan)
HACOR
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).
Markdown: /docs/hacor.md · Canonical: https://magentlab.com/docs/hacor
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
- Authors
- Duan J, Han X, Bai L, Zhou L, Huang S
- Source
- Intensive Care Med. 2017;43(2):192-199
Worked example
All zero-point bands
Given:
gcs=15heart_rate_bpm=80pf_ratio=300ph=7.40respiratory_rate=18
- HR 80 → 0; pH 7.40 → 0; GCS 15 → 0; P/F 300 → 0; RR 18 → 0
- Score = 0 (max 25); hacor_band = low (≤5)
GCS 10 on an otherwise zero baseline
Given:
gcs=10heart_rate_bpm=80pf_ratio=300ph=7.40respiratory_rate=18
- GCS 10 → 10 (ESM Table 2 ≤10); remaining factors 0
- 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
Try
Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.
/api/calc/hacor?heart_rate_bpm=80&ph=7.40&gcs=15&pf_ratio=300&respiratory_rate=18
Full URL: https://api.magentlab.com/api/calc/hacor?heart_rate_bpm=80&ph=7.40&gcs=15&pf_ratio=300&respiratory_rate=18
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/hacor?heart_rate_bpm=80&ph=7.40&gcs=15&pf_ratio=300&respiratory_rate=18"
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
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.
- 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": [
{
"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"
}
]
}
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/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
| Field | Type | Description |
|---|---|---|
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
Machine form of the same example. Frozen fixture. Not a live lookup.
{
"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
}
Client errors (HTTP 400)
Invalid params return 400 without charge. Shared HTTP 402 and 503 meanings: Payments.
| HTTP | Code | When |
|---|---|---|
| 400 | invalid_heart_rate |
heart_rate_bpm must be an integer from 30 to 220 Returned before settlement; you are not charged. |
| 400 | invalid_ph |
ph must be a number from 6.80 to 7.80 (Duan 2017 HACOR). Returned before settlement; you are not charged. |
| 400 | invalid_gcs_total |
gcs must be an integer from 3 to 15. Returned before settlement; you are not charged. |
| 400 | invalid_pf_ratio |
pf_ratio must be a number from 20 to 800. Returned before settlement; you are not charged. |
| 400 | invalid_respiratory_rate |
respiratory_rate must be an integer from 4 to 80. 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
- ROX index — Compute the ROX index as pulse-oximetry SpO2 percent divided by inspired oxygen fraction, then divided by respiratory rate.
- PaO2/FiO2 ratio — Compute the PaO2/FiO2 ratio as arterial PO2 in mm Hg divided by inspired oxygen fraction.
- Rapid shallow breathing index — 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. 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.
- 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.