MAGENT

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.

LIVE $0.005 USDC GET /api/calc/reticulocyte_index

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
DOI
10.1172/JCI106002

Worked example

Retic 2%, Hct 45, RBC 5.0 million/µL

Given: hematocrit_percent=45rbc_million_ul=5.0reticulocyte_percent=2.0

  1. CRC = 2.0 × (45/45) = 2.00
  2. maturation_days = 1.0 (Hct ≥40)
  3. RI = 2.00 / 1.0 = 2.00
  4. ARC = 0.02 × 5.0 × 1e6 = 100000 /µL

Retic 10%, Hct 25, RBC omitted

Given: hematocrit_percent=25reticulocyte_percent=10.0

  1. CRC = 10.0 × (25/45) = 5.56
  2. maturation_days = 2.0 (Hct ≥20 and <30)
  3. RI = 5.56 / 2.0 = 2.78
  4. 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.

POST /api/calc/reticulocyte_index 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": [
    {
      "hematocrit_percent": "45",
      "rbc_million_ul": "5.0",
      "reticulocyte_percent": "2.0"
    },
    {
      "hematocrit_percent": "45",
      "rbc_million_ul": "5.0",
      "reticulocyte_percent": "2.0"
    }
  ]
}

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/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.