Neurology · LIVE
ABC/2 ICH volume (Kothari)
ABC/2
Compute the Kothari 1996 ABC/2 ellipsoid ICH volume as (a_cm × b_cm × c_cm) / 2 from caller-supplied diameters in centimeters.
Markdown: /docs/abc2.md · Canonical: https://magentlab.com/docs/abc2
Not a medical device. Not a diagnosis, dose, or listing recommendation.
What it computes
Compute the Kothari 1996 ABC/2 ellipsoid ICH volume as (a_cm × b_cm × c_cm) / 2 from caller-supplied diameters in centimeters.
When to use
When an agent needs the published ABC/2 volume and must not invent the ICH Score or pick A, B, or C from a scan.
When not to use
- Not a diagnosis. magent does not diagnose intracerebral hemorrhage.
- Volume estimate only. This is the Kothari 1996 ABC/2 ellipsoid formula, not a volumetric segmentation.
- This is not the ICH Score.
- magent does not read imaging or choose A/B/C on the scan. The caller supplies a_cm, b_cm, and c_cm.
Formula
volume_ml = (a_cm * b_cm * c_cm) / 2
Citation
- Authors
- Kothari RU, Brott T, Broderick JP, et al.
- Source
- Stroke. 1996;27(8):1304-1305
Worked example
2 cm cube
Given:
a_cm=2b_cm=2c_cm=2
- volume_ml = (2 × 2 × 2) / 2 = 4.0
Asymmetric 6 × 4 × 3 cm
Given:
a_cm=6b_cm=4c_cm=3
- volume_ml = (6 × 4 × 3) / 2 = 36.0
Also searched as
- ABC/2
- ABC2 volume
- Kothari ABC/2
- ICH volume ABC/2
- hemorrhage volume ABC/2
- ABC over 2
Try
Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.
/api/calc/abc2?a_cm=2&b_cm=2&c_cm=2
Full URL: https://api.magentlab.com/api/calc/abc2?a_cm=2&b_cm=2&c_cm=2
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/abc2?a_cm=2&b_cm=2&c_cm=2"
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
a_cm |
number | required | Largest diameter A in cm (0.1-20). Caller-assigned; magent does not read a scan. |
b_cm |
number | required | Largest diameter B perpendicular to A, in cm (0.1-20). Caller-assigned. |
c_cm |
number | required | C in cm (0.1-20): number of slices times slice thickness. Caller-assigned. |
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": [
{
"a_cm": "2",
"b_cm": "2",
"c_cm": "2"
},
{
"a_cm": "2",
"b_cm": "2",
"c_cm": "2"
}
]
}
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/abc2",
"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": "Kothari RU, Brott T, Broderick JP, et al.",
"doi": "10.1161/01.STR.27.8.1304",
"id": "kothari-1996",
"source": "Stroke. 1996;27(8):1304-1305",
"title": "The ABCs of measuring intracerebral hemorrhage volumes"
},
"formula": "abc2",
"formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2",
"a_cm": 2.0,
"b_cm": 2.0,
"c_cm": 2.0,
"volume_ml": 4.0
},
{
"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": "Kothari RU, Brott T, Broderick JP, et al.",
"doi": "10.1161/01.STR.27.8.1304",
"id": "kothari-1996",
"source": "Stroke. 1996;27(8):1304-1305",
"title": "The ABCs of measuring intracerebral hemorrhage volumes"
},
"formula": "abc2",
"formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2",
"a_cm": 2.0,
"b_cm": 2.0,
"c_cm": 2.0,
"volume_ml": 4.0
}
]
}
Response
| Field | Type | Description |
|---|---|---|
formula |
string | abc2 |
formula_expression |
string | Exact expression used |
a_cm |
number | Largest diameter A used, cm |
b_cm |
number | Perpendicular diameter B used, cm |
c_cm |
number | Slice count times thickness C used, cm |
volume_ml |
number | ABC/2 volume in mL, 1 decimal |
citation |
object | Kothari 1996 Stroke 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": "Kothari RU, Brott T, Broderick JP, et al.",
"doi": "10.1161/01.STR.27.8.1304",
"id": "kothari-1996",
"source": "Stroke. 1996;27(8):1304-1305",
"title": "The ABCs of measuring intracerebral hemorrhage volumes"
},
"formula": "abc2",
"formula_expression": "volume_ml = (a_cm * b_cm * c_cm) / 2",
"a_cm": 2.0,
"b_cm": 2.0,
"c_cm": 2.0,
"volume_ml": 4.0
}
Client errors (HTTP 400)
Invalid params return 400 without charge. Shared HTTP 402 and 503 meanings: Payments.
| HTTP | Code | When |
|---|---|---|
| 400 | invalid_abc2_dimension |
a_cm, b_cm, and c_cm must each be a number from 0.1 to 20. 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
- ICH Score — Compute the Hemphill 2001 ICH Score from caller-assigned GCS, age, infratentorial origin, ICH volume, and IVH.
Payment
Required query parameters must be present and valid. 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
- Invalid query parameters return HTTP 400 before settlement. You are not charged.
- Settlement finishes before the tool executes (paymentFlow upfront). 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.