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Hemodynamics · LIVE

Diastolic shock index

Compute the Ospina-Tascón diastolic shock index as heart rate in bpm divided by cuff diastolic pressure in mm Hg.

LIVE $0.005 USDC GET /api/calc/dsi

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

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

What it computes

Compute the Ospina-Tascón diastolic shock index as heart rate in bpm divided by cuff diastolic pressure in mm Hg.

When to use

When an agent needs the published heart-rate / diastolic-pressure ratio and must not invent a DSI cutoff or copy systolic shock-index bands.

When not to use

  • Not a medical device. Not a diagnosis of shock and not a treatment target.
  • Ospina-Tascón 2020 did not include a control group of normal subjects, so recognizing a DSI cutoff to identify abnormality could be misleading.
  • This is heart rate divided by diastolic pressure, not the Allgöwer–Burri shock index (HR/SBP).

Formula

dsi = heart_rate_bpm / diastolic_mm_hg

Citation

Title
Diastolic shock index and clinical outcomes in patients with septic shock.
Authors
Ospina-Tascón GA, Teboul JL, Hernandez G, et al.
Source
Ann Intensive Care. 2020;10(1):41
DOI
10.1186/s13613-020-00658-8

Worked example

HR 80, DBP 80

Given: diastolic_mm_hg=80heart_rate_bpm=80

  1. dsi = 80 / 80 = 1.00

HR 120, DBP 80

Given: diastolic_mm_hg=80heart_rate_bpm=120

  1. dsi = 120 / 80 = 1.50

Also searched as

  • diastolic shock index
  • DSI heart rate DBP
  • HR over DBP
  • heart rate diastolic ratio
  • Ospina-Tascon DSI
  • diastolic SI
  • HR divided by diastolic

Try

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

/api/calc/dsi?heart_rate_bpm=80&diastolic_mm_hg=80

Full URL: https://api.magentlab.com/api/calc/dsi?heart_rate_bpm=80&diastolic_mm_hg=80

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/dsi?heart_rate_bpm=80&diastolic_mm_hg=80"

Parameters

Name Type Required Description
heart_rate_bpm integer required Heart rate in beats per minute (integer 30-220).
diastolic_mm_hg number required Cuff diastolic blood pressure in mm Hg (20-160).

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/dsi 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": [
    {
      "diastolic_mm_hg": "80",
      "heart_rate_bpm": "80"
    },
    {
      "diastolic_mm_hg": "80",
      "heart_rate_bpm": "80"
    }
  ]
}

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/dsi",
  "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": "Ospina-Tascón GA, Teboul JL, Hernandez G, et al.",
        "doi": "10.1186/s13613-020-00658-8",
        "id": "ospina-tascon-2020",
        "pmid": "32296976",
        "source": "Ann Intensive Care. 2020;10(1):41",
        "title": "Diastolic shock index and clinical outcomes in patients with septic shock."
      },
      "formula": "dsi",
      "formula_expression": "dsi = heart_rate_bpm / diastolic_mm_hg",
      "diastolic_mm_hg": 80.0,
      "heart_rate_bpm": 80,
      "dsi": 1.0
    },
    {
      "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": "Ospina-Tascón GA, Teboul JL, Hernandez G, et al.",
        "doi": "10.1186/s13613-020-00658-8",
        "id": "ospina-tascon-2020",
        "pmid": "32296976",
        "source": "Ann Intensive Care. 2020;10(1):41",
        "title": "Diastolic shock index and clinical outcomes in patients with septic shock."
      },
      "formula": "dsi",
      "formula_expression": "dsi = heart_rate_bpm / diastolic_mm_hg",
      "diastolic_mm_hg": 80.0,
      "heart_rate_bpm": 80,
      "dsi": 1.0
    }
  ]
}

Response

Field Type Description
formula string dsi
formula_expression string Exact expression used
heart_rate_bpm integer Heart rate used, bpm
diastolic_mm_hg number Diastolic pressure used, mm Hg
dsi number Heart rate divided by diastolic pressure, 2 decimals
citation object Ospina-Tascón 2020 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": "Ospina-Tascón GA, Teboul JL, Hernandez G, et al.",
    "doi": "10.1186/s13613-020-00658-8",
    "id": "ospina-tascon-2020",
    "pmid": "32296976",
    "source": "Ann Intensive Care. 2020;10(1):41",
    "title": "Diastolic shock index and clinical outcomes in patients with septic shock."
  },
  "formula": "dsi",
  "formula_expression": "dsi = heart_rate_bpm / diastolic_mm_hg",
  "diastolic_mm_hg": 80.0,
  "heart_rate_bpm": 80,
  "dsi": 1.0
}

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_diastolic_bp diastolic_mm_hg must be a number from 20 to 160. 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

  • Shock index — Compute the Allgöwer–Burri shock index as heart rate in bpm divided by cuff systolic pressure in mm Hg.
  • CPO — Compute Fincke 2004 cardiac power output in watts from mean arterial pressure and cardiac output.

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.