Hemodynamics · LIVE

Cardiac power output

CPO

Compute Fincke 2004 cardiac power output in watts from mean arterial pressure and cardiac output.

LIVE $0.005 USDC GET /api/calc/cpo

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

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

What it computes

Compute Fincke 2004 cardiac power output in watts from mean arterial pressure and cardiac output.

When to use

When an agent needs the published Fincke 2004 CPO (MAP × cardiac output / 451) and must not invent cardiac power index, a shock diagnosis, or a device threshold.

When not to use

• Not a medical device. Not a shock diagnosis or treatment target.
• Does not compute cardiac power index (W/m²). This tool returns cardiac power output in watts only and does not take body surface area.
• 0.53 W is the Fincke 2004 ROC cutpoint from the SHOCK trial registry, not a device threshold.
• Does not take systolic or diastolic pressure. Callers may send MAP from /api/calc/map. Fincke computed MAP as diastolic + (systolic−diastolic)/3.

Formula

cpo_watts = map_mm_hg * cardiac_output_l_min / 451

Citation

Title

Cardiac power is the strongest hemodynamic correlate of mortality in cardiogenic shock: a report from the SHOCK trial registry

Authors

Fincke R, Hochman JS, Lowe AM, et al.

Source

J Am Coll Cardiol. 2004;44(2):340-348

DOI

10.1016/j.jacc.2004.03.060

Worked example

Also searched as

• cardiac power output
• CPO watts
• Fincke CPO
• MAP times cardiac output
• cardiogenic shock CPO
• SHOCK registry CPO
• cardiac power

Try

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

/api/calc/cpo?map_mm_hg=90&cardiac_output_l_min=5

Full URL: https://api.magentlab.com/api/calc/cpo?map_mm_hg=90&cardiac_output_l_min=5

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/cpo?map_mm_hg=90&cardiac_output_l_min=5"

Parameters

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/cpo 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": [
    {
      "cardiac_output_l_min": "5",
      "map_mm_hg": "90"
    },
    {
      "cardiac_output_l_min": "5",
      "map_mm_hg": "90"
    }
  ]
}

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/cpo",
  "items": [
    {
      "band": ">0.53",
      "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": "Fincke R, Hochman JS, Lowe AM, et al.",
        "doi": "10.1016/j.jacc.2004.03.060",
        "id": "fincke-2004",
        "pmid": "15261929",
        "source": "J Am Coll Cardiol. 2004;44(2):340-348",
        "title": "Cardiac power is the strongest hemodynamic correlate of mortality in cardiogenic shock: a report from the SHOCK trial registry"
      },
      "formula": "cpo",
      "formula_expression": "cpo_watts = map_mm_hg * cardiac_output_l_min / 451",
      "cardiac_output_l_min": 5.0,
      "cpo_watts": 1.0,
      "map_mm_hg": 90.0
    },
    {
      "band": ">0.53",
      "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": "Fincke R, Hochman JS, Lowe AM, et al.",
        "doi": "10.1016/j.jacc.2004.03.060",
        "id": "fincke-2004",
        "pmid": "15261929",
        "source": "J Am Coll Cardiol. 2004;44(2):340-348",
        "title": "Cardiac power is the strongest hemodynamic correlate of mortality in cardiogenic shock: a report from the SHOCK trial registry"
      },
      "formula": "cpo",
      "formula_expression": "cpo_watts = map_mm_hg * cardiac_output_l_min / 451",
      "cardiac_output_l_min": 5.0,
      "cpo_watts": 1.0,
      "map_mm_hg": 90.0
    }
  ]
}

Response

Example JSON

Machine form of the same example. Frozen fixture. Not a live lookup.

{
  "band": ">0.53",
  "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": "Fincke R, Hochman JS, Lowe AM, et al.",
    "doi": "10.1016/j.jacc.2004.03.060",
    "id": "fincke-2004",
    "pmid": "15261929",
    "source": "J Am Coll Cardiol. 2004;44(2):340-348",
    "title": "Cardiac power is the strongest hemodynamic correlate of mortality in cardiogenic shock: a report from the SHOCK trial registry"
  },
  "formula": "cpo",
  "formula_expression": "cpo_watts = map_mm_hg * cardiac_output_l_min / 451",
  "cardiac_output_l_min": 5.0,
  "cpo_watts": 1.0,
  "map_mm_hg": 90.0
}

Client errors (HTTP 400)

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

Related tools

• MAP — Compute conventional estimated mean arterial pressure from cuff systolic and diastolic pressures.
• Shock index — Compute the Allgöwer–Burri shock index as heart rate in bpm divided by cuff systolic pressure in mm Hg.

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.