HOPE score (Pasquier 2018)

HOPE

Compute the Pasquier 2018 HOPE logistic survival probability after extracorporeal life support for hypothermic cardiac arrest from caller-assigned sex, asphyxia-related mechanism, age, potassium, CPR duration, and core temperature.

LIVE $0.005 USDC GET /api/calc/hope

Markdown: /docs/hope.md · Canonical: https://magentlab.com/docs/hope

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

What it computes

When to use

When an agent has Pasquier 2018 HOPE predictors and needs the published survival probability from the unrounded logit, not an ECLS cannulation or rewarming order and not a 2019-validation cutoff.

When not to use

Not a medical device. Not a diagnosis. Not an ECLS cannulation order or a rewarming protocol. magent does not cannulate or examine the patient.
Pasquier 2018 derivation logit only. magent does not apply 2019 external-validation cutoffs other than the derivation Table 2 HOPE >= 0.10 (10% survival probability) flag.
Sex is the published male coefficient (male = 1, female = 0), not race.
asphyxia is caller-assigned: head fully covered by water or snow AND cardiac arrest at extrication. magent does not classify the scene.
Potassium, CPR duration, and temperature are caller-supplied. CPR duration must be greater than 0. magent does not assay potassium or time the arrest.
estimated_survival_percent is a population probability from the unrounded logit, not an individual outcome.

Formula

logit = 2.44 - 1.55*male - 1.95*asphyxia - 0.0191*age - 2.07*log2(potassium_mmol_l) - 0.573*log2(cpr_duration_min) + 0.937*temperature_c - 0.0247*temperature_c^2; survival_probability = exp(logit)/(1+exp(logit)); estimated_survival_percent = 100 * survival_probability from the unrounded logit, 2 decimals; male is 1 if sex is male else 0; asphyxia is 1 if asphyxia-related (head fully covered by water or snow AND cardiac arrest at extrication) else 0; hope_ge_10_percent is true when survival_probability >= 0.10 (Pasquier 2018 Table 2)

Citation

Title: Hypothermia outcome prediction after extracorporeal life support for hypothermic cardiac arrest patients: The HOPE score
Authors: Pasquier M, Hugli O, Paal P, Darocha T, Blancher M, Husby P, Silfvast T, Carron PN, Rousson V
Source: Resuscitation. 2018;126:58-64
DOI: 10.1016/j.resuscitation.2018.02.026

Worked example

Female, no asphyxia, age 40, K 4.0, CPR 30 min, 28 C

Given: age=40asphyxia=falsecpr_duration_min=30potassium_mmol_l=4.0sex=femaletemperature_c=28

female → male = 0; asphyxia false → 0
log2(4.0) = 2; CPR duration 30 min enters as log2(30)
logit = 2.44 - 0.0191*40 - 2.07*2 - 0.573*log2(30) + 0.937*28 - 0.0247*28^2
estimated_survival_percent = 100 * exp(logit)/(1+exp(logit)) from the unrounded logit
hope_ge_10_percent is true when survival_probability >= 0.10 (Pasquier 2018 Table 2)

Male, otherwise the same row (published male coefficient)

Given: age=40asphyxia=falsecpr_duration_min=30potassium_mmol_l=4.0sex=maletemperature_c=28

male = 1 subtracts 1.55 from the female logit
percent from the unrounded logit; sex is a published coefficient, not race

Also searched as

HOPE score
Pasquier HOPE
hypothermic cardiac arrest survival
ECLS hypothermia survival
accidental hypothermia ECLS
HOPE potassium CPR temperature
Pasquier 2018 hypothermia logit

Try

Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.

/api/calc/hope?age=40&sex=female&asphyxia=false&cpr_duration_min=30&potassium_mmol_l=4.0&temperature_c=28

Full URL: https://api.magentlab.com/api/calc/hope?age=40&sex=female&asphyxia=false&cpr_duration_min=30&potassium_mmol_l=4.0&temperature_c=28

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/hope?age=40&sex=female&asphyxia=false&cpr_duration_min=30&potassium_mmol_l=4.0&temperature_c=28"

Parameters

Name	Type	Required	Description
`age`	integer	required	Age in years, integer 0-100. Pasquier 2018 coefficient -0.0191 per year. magent does not read an identity document.
`sex`	string	required · female, male	Sex used as the published Pasquier 2018 male coefficient (male = 1, female = 0). Not race. magent does not examine the patient.
`asphyxia`	boolean	required	true if the caller assigns an asphyxia-related mechanism: head fully covered by water or snow AND cardiac arrest at extrication (Pasquier 2018). true scores 1 in the logit; false scores 0. magent does not classify the scene.
`cpr_duration_min`	number	required	Duration of CPR in minutes from start of CPR to ECLS (1-480). Enters as log2. Must be greater than 0 (0 is invalid). Caller-supplied; magent does not time the arrest.
`potassium_mmol_l`	number	required	Serum potassium in mmol/L (0.5-20). Enters as log2. Must be greater than 0. Caller-supplied; magent does not assay potassium.
`temperature_c`	number	required	Core temperature in C (10-37). Linear and squared Pasquier 2018 terms. Caller-supplied; magent does not measure temperature or convert Fahrenheit.

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.

POST /api/calc/hope Max 25 unit_amount + extra_item_amount * (n - 1) extra $0.002 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 (fixture)

{
  "items": [
    {
      "age": "40",
      "asphyxia": "false",
      "cpr_duration_min": "30",
      "potassium_mmol_l": "4.0",
      "sex": "female",
      "temperature_c": "28"
    },
    {
      "age": "40",
      "asphyxia": "false",
      "cpr_duration_min": "30",
      "potassium_mmol_l": "4.0",
      "sex": "female",
      "temperature_c": "28"
    }
  ]
}

Open bulk paywall →

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/hope",
  "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": "Pasquier M, Hugli O, Paal P, Darocha T, Blancher M, Husby P, Silfvast T, Carron PN, Rousson V",
        "doi": "10.1016/j.resuscitation.2018.02.026",
        "id": "pasquier-2018",
        "pmid": "29481910",
        "source": "Resuscitation. 2018;126:58-64",
        "title": "Hypothermia outcome prediction after extracorporeal life support for hypothermic cardiac arrest patients: The HOPE score"
      },
      "formula": "hope",
      "formula_expression": "logit = 2.44 - 1.55*male - 1.95*asphyxia - 0.0191*age - 2.07*log2(potassium_mmol_l) - 0.573*log2(cpr_duration_min) + 0.937*temperature_c - 0.0247*temperature_c^2; survival_probability = exp(logit)/(1+exp(logit)); estimated_survival_percent = 100 * survival_probability from the unrounded logit, 2 decimals; male is 1 if sex is male else 0; asphyxia is 1 if asphyxia-related (head fully covered by water or snow AND cardiac arrest at extrication) else 0; hope_ge_10_percent is true when survival_probability >= 0.10 (Pasquier 2018 Table 2)",
      "age_years": 40,
      "sex": "female",
      "logit": 1.6,
      "temperature_c": 28.0,
      "potassium_mmol_l": 4.0,
      "asphyxia": false,
      "cpr_duration_min": 30.0,
      "estimated_survival_percent": 83.14,
      "hope_ge_10_percent": true
    },
    {
      "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": "Pasquier M, Hugli O, Paal P, Darocha T, Blancher M, Husby P, Silfvast T, Carron PN, Rousson V",
        "doi": "10.1016/j.resuscitation.2018.02.026",
        "id": "pasquier-2018",
        "pmid": "29481910",
        "source": "Resuscitation. 2018;126:58-64",
        "title": "Hypothermia outcome prediction after extracorporeal life support for hypothermic cardiac arrest patients: The HOPE score"
      },
      "formula": "hope",
      "formula_expression": "logit = 2.44 - 1.55*male - 1.95*asphyxia - 0.0191*age - 2.07*log2(potassium_mmol_l) - 0.573*log2(cpr_duration_min) + 0.937*temperature_c - 0.0247*temperature_c^2; survival_probability = exp(logit)/(1+exp(logit)); estimated_survival_percent = 100 * survival_probability from the unrounded logit, 2 decimals; male is 1 if sex is male else 0; asphyxia is 1 if asphyxia-related (head fully covered by water or snow AND cardiac arrest at extrication) else 0; hope_ge_10_percent is true when survival_probability >= 0.10 (Pasquier 2018 Table 2)",
      "age_years": 40,
      "sex": "female",
      "logit": 1.6,
      "temperature_c": 28.0,
      "potassium_mmol_l": 4.0,
      "asphyxia": false,
      "cpr_duration_min": 30.0,
      "estimated_survival_percent": 83.14,
      "hope_ge_10_percent": true
    }
  ]
}

Response

Field	Type	Description
`formula`	string	hope
`formula_expression`	string	Pasquier 2018 HOPE logit and survival probability
`age_years`	integer	Age in years used in the logit
`sex`	string	female or male
`asphyxia`	boolean	Caller-assigned asphyxia-related mechanism (head fully covered by water or snow AND cardiac arrest at extrication)
`potassium_mmol_l`	number	Serum potassium in mmol/L used in log2
`cpr_duration_min`	number	CPR duration in minutes used in log2
`temperature_c`	number	Core temperature in C used in the linear and squared terms
`logit`	number	Pasquier 2018 logit, 2 decimal places. Percent uses the unrounded logit.
`estimated_survival_percent`	number	100 * exp(logit)/(1+exp(logit)) from the unrounded logit, 2 decimals. A population probability, not an ECLS order.
`hope_ge_10_percent`	boolean	true when survival_probability >= 0.10 (Pasquier 2018 Table 2 HOPE >= 0.10). Not a 2019-validation cutoff.
`citation`	object	Pasquier 2018 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": "Pasquier M, Hugli O, Paal P, Darocha T, Blancher M, Husby P, Silfvast T, Carron PN, Rousson V",
    "doi": "10.1016/j.resuscitation.2018.02.026",
    "id": "pasquier-2018",
    "pmid": "29481910",
    "source": "Resuscitation. 2018;126:58-64",
    "title": "Hypothermia outcome prediction after extracorporeal life support for hypothermic cardiac arrest patients: The HOPE score"
  },
  "formula": "hope",
  "formula_expression": "logit = 2.44 - 1.55*male - 1.95*asphyxia - 0.0191*age - 2.07*log2(potassium_mmol_l) - 0.573*log2(cpr_duration_min) + 0.937*temperature_c - 0.0247*temperature_c^2; survival_probability = exp(logit)/(1+exp(logit)); estimated_survival_percent = 100 * survival_probability from the unrounded logit, 2 decimals; male is 1 if sex is male else 0; asphyxia is 1 if asphyxia-related (head fully covered by water or snow AND cardiac arrest at extrication) else 0; hope_ge_10_percent is true when survival_probability >= 0.10 (Pasquier 2018 Table 2)",
  "age_years": 40,
  "sex": "female",
  "logit": 1.6,
  "temperature_c": 28.0,
  "potassium_mmol_l": 4.0,
  "asphyxia": false,
  "cpr_duration_min": 30.0,
  "estimated_survival_percent": 83.14,
  "hope_ge_10_percent": true
}

Client errors (HTTP 400)

Invalid params return 400 without charge. Shared HTTP 402 and 503 meanings: Payments.

HTTP	Code	When
400	`invalid_hope`	HOPE needs Pasquier 2018 age, sex, asphyxia mechanism, CPR duration, potassium, and core temperature in published ranges. 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

SAVE-score — Sum Schmidt 2015 Table 4 SAVE-score cells including the published constant −6 and return class I–V with hospital survival percents.
GO-FAR — Sum the Ebell 2013 GO-FAR Table 3 integer score (beta × 10 rounded) from exclusive age and 12 caller-assigned prearrest flags, and return the published likelihood band for CPC 1 after in-hospital CPR.

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.