Hematology · LIVE
Reticulocyte index
Compute corrected reticulocyte count, a Hillman 1969 maturation-shift reticulocyte index, and optional absolute reticulocyte count from percent reticulocytes, hematocrit, and RBC.
Markdown: /docs/reticulocyte-index.md · Canonical: https://magentlab.com/docs/reticulocyte-index
Not a medical device. Not a diagnosis, dose, or listing recommendation.
What it computes
Compute corrected reticulocyte count, a Hillman 1969 maturation-shift reticulocyte index, and optional absolute reticulocyte count from percent reticulocytes, hematocrit, and RBC.
When to use
When an agent needs CRC, RI, or ARC from a CBC and must not invent a marrow-production diagnosis.
When not to use
- Not a diagnosis of hypoproliferative versus hemolytic anemia. Maturation days 1.0/1.5/2.0/2.5 are a discrete reading of Hillman 1969 shift versus hematocrit (≥40, ≥30, ≥20, else), not a measured marrow transit time.
- ARC is omitted unless rbc_million_ul is provided. Does not convert an automated absolute reticulocyte count already reported by the lab.
Formula
CRC = reticulocyte_percent * (hematocrit_percent / 45); RI = CRC / maturation_days; ARC_per_uL = reticulocyte_percent/100 * rbc_million_ul * 1e6 when RBC is given
Citation
- Title
- Characteristics of marrow production and reticulocyte maturation in normal man in response to anemia
- Authors
- Hillman RS
- Source
- J Clin Invest. 1969;48(3):443-453
Worked example
Retic 2%, Hct 45, RBC 5.0 million/µL
Given:
hematocrit_percent=45rbc_million_ul=5.0reticulocyte_percent=2.0
- CRC = 2.0 × (45/45) = 2.00
- maturation_days = 1.0 (Hct ≥40)
- RI = 2.00 / 1.0 = 2.00
- ARC = 0.02 × 5.0 × 1e6 = 100000 /µL
Retic 10%, Hct 25, RBC omitted
Given:
hematocrit_percent=25reticulocyte_percent=10.0
- CRC = 10.0 × (25/45) = 5.56
- maturation_days = 2.0 (Hct ≥20 and <30)
- RI = 5.56 / 2.0 = 2.78
- ARC omitted
Also searched as
- reticulocyte index
- corrected reticulocyte count
- absolute reticulocyte count
- ARC
- CRC
- Hillman reticulocyte
Try
Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.
/api/calc/reticulocyte_index?reticulocyte_percent=2.0&hematocrit_percent=45&rbc_million_ul=5.0
Full URL: https://api.magentlab.com/api/calc/reticulocyte_index?reticulocyte_percent=2.0&hematocrit_percent=45&rbc_million_ul=5.0
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/reticulocyte_index?reticulocyte_percent=2.0&hematocrit_percent=45&rbc_million_ul=5.0"
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
reticulocyte_percent |
number | required | Reticulocyte percent of RBC (0.1-30). |
hematocrit_percent |
number | required | Hematocrit as a percent (10-70). CRC uses Hct/45. Maturation days: ≥40 → 1.0; ≥30 → 1.5; ≥20 → 2.0; else 2.5 (Hillman 1969 shift discretized). |
rbc_million_ul |
number | optional | RBC count in 10^6/µL (1.0-8.0). When provided, ARC_per_uL is returned. Omitted omits ARC. |
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": [
{
"hematocrit_percent": "45",
"rbc_million_ul": "5.0",
"reticulocyte_percent": "2.0"
},
{
"hematocrit_percent": "45",
"rbc_million_ul": "5.0",
"reticulocyte_percent": "2.0"
}
]
}
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/reticulocyte_index",
"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": "Hillman RS",
"doi": "10.1172/JCI106002",
"id": "hillman-1969",
"source": "J Clin Invest. 1969;48(3):443-453",
"title": "Characteristics of marrow production and reticulocyte maturation in normal man in response to anemia"
},
"formula": "reticulocyte_index",
"formula_expression": "CRC = reticulocyte_percent * (hematocrit_percent / 45); RI = CRC / maturation_days; ARC_per_uL = reticulocyte_percent/100 * rbc_million_ul * 1e6 when RBC is given",
"corrected_reticulocyte_percent": 2.0,
"hematocrit_percent": 45.0,
"maturation_days": 1.0,
"reticulocyte_index": 2.0,
"reticulocyte_percent": 2.0,
"arc_per_ul": 100000
},
{
"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": "Hillman RS",
"doi": "10.1172/JCI106002",
"id": "hillman-1969",
"source": "J Clin Invest. 1969;48(3):443-453",
"title": "Characteristics of marrow production and reticulocyte maturation in normal man in response to anemia"
},
"formula": "reticulocyte_index",
"formula_expression": "CRC = reticulocyte_percent * (hematocrit_percent / 45); RI = CRC / maturation_days; ARC_per_uL = reticulocyte_percent/100 * rbc_million_ul * 1e6 when RBC is given",
"corrected_reticulocyte_percent": 2.0,
"hematocrit_percent": 45.0,
"maturation_days": 1.0,
"reticulocyte_index": 2.0,
"reticulocyte_percent": 2.0,
"arc_per_ul": 100000
}
]
}
Response
| Field | Type | Description |
|---|---|---|
formula |
string | reticulocyte_index |
formula_expression |
string | Exact expression used |
reticulocyte_percent |
number | Reticulocyte percent used |
hematocrit_percent |
number | Hematocrit percent used |
corrected_reticulocyte_percent |
number | CRC = retic% × (Hct/45), 2 decimals |
maturation_days |
number | Hillman-style shift: 1.0, 1.5, 2.0, or 2.5 days |
reticulocyte_index |
number | CRC / maturation_days, 2 decimals |
arc_per_ul |
integer | Absolute reticulocyte count in cells/µL when rbc_million_ul is provided |
citation |
object | Hillman 1969 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": "Hillman RS",
"doi": "10.1172/JCI106002",
"id": "hillman-1969",
"source": "J Clin Invest. 1969;48(3):443-453",
"title": "Characteristics of marrow production and reticulocyte maturation in normal man in response to anemia"
},
"formula": "reticulocyte_index",
"formula_expression": "CRC = reticulocyte_percent * (hematocrit_percent / 45); RI = CRC / maturation_days; ARC_per_uL = reticulocyte_percent/100 * rbc_million_ul * 1e6 when RBC is given",
"corrected_reticulocyte_percent": 2.0,
"hematocrit_percent": 45.0,
"maturation_days": 1.0,
"reticulocyte_index": 2.0,
"reticulocyte_percent": 2.0,
"arc_per_ul": 100000
}
Client errors (HTTP 400)
Invalid params return 400 without charge. Shared HTTP 402 and 503 meanings: Payments.
| HTTP | Code | When |
|---|---|---|
| 400 | invalid_reticulocyte_percent |
reticulocyte_percent must be a number from 0.1 to 30. Returned before settlement; you are not charged. |
| 400 | invalid_hematocrit |
hematocrit_percent must be a number from 10 to 70. Returned before settlement; you are not charged. |
| 400 | invalid_rbc_million_ul |
rbc_million_ul must be a number from 1.0 to 8.0 when provided. 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
- ANC — Compute absolute neutrophil count from WBC and neutrophil plus band percents, plus a Bodey 1966 granulocyte band.
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.