# Intravenous acetylcysteine

Intravenous acetylcysteine

Status: LIVE
Price: $0.005 USDC
`GET /api/calc/acetylcysteine_iv`
HTML: https://magentlab.com/docs/acetylcysteine-iv
Markdown: https://magentlab.com/docs/acetylcysteine-iv.md

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

## What it computes

Compute intravenous acetylcysteine milligrams from body weight using the Prescott 1979 paracetamol (acetaminophen) poisoning schedule: 150 mg/kg over 15 minutes, then 50 mg/kg over 4 hours, then 100 mg/kg over 16 hours (300 mg/kg over 20.25 hours).

## When to use

When an agent needs published Prescott 1979 intravenous acetylcysteine milligram-per-kilogram arithmetic and must not invent an oral protocol, a nomogram reading, or a prescription.

## When not to use

- Not a medical device. A licensed clinician remains responsible for interpretation.
- Not a prescription. magent does not choose a vial, concentration, or infusion pump setting.
- Not a Rumack–Matthew nomogram. magent does not plot a nomogram image.
- magent does not interpret a plasma acetaminophen (paracetamol) concentration and does not decide whether to treat.
- This is the Prescott 1979 intravenous 15-minute load, then 4 hours, then 16 hours. It is not an oral protocol.

## Formula

```
load_mg = weight_kg * 150; infusion_4h_mg = weight_kg * 50; infusion_16h_mg = weight_kg * 100; total_mg = weight_kg * 300; load_minutes = 15; infusion_4h_hours = 4; infusion_16h_hours = 16; total_hours = 20.25
```

## Citation

[Intravenous N-acetylcysteine: the treatment of choice for paracetamol poisoning](https://doi.org/10.1136/bmj.2.6198.1097)
Prescott LF, Illingworth RN, Critchley JA, Stewart MJ, Adam RD, Proudfoot AT
Br Med J. 1979;2(6198):1097-1100
DOI: [10.1136/bmj.2.6198.1097](https://doi.org/10.1136/bmj.2.6198.1097)

## Worked example

### 70 kg intravenous schedule

Given: `weight_kg=70`

1. load_mg = 70 * 150 = 10500.0 mg over 15 minutes
2. infusion_4h_mg = 70 * 50 = 3500.0 mg over 4 hours
3. infusion_16h_mg = 70 * 100 = 7000.0 mg over 16 hours
4. total_mg = 70 * 300 = 21000.0 mg over 20.25 hours


### 50 kg intravenous schedule

Given: `weight_kg=50`

1. load_mg = 50 * 150 = 7500.0 mg over 15 minutes
2. infusion_4h_mg = 50 * 50 = 2500.0 mg over 4 hours
3. infusion_16h_mg = 50 * 100 = 5000.0 mg over 16 hours
4. total_mg = 50 * 300 = 15000.0 mg over 20.25 hours


## Also searched as

- acetylcysteine dose
- intravenous acetylcysteine
- paracetamol poisoning acetylcysteine
- acetaminophen poisoning acetylcysteine
- Prescott acetylcysteine
- N-acetylcysteine infusion
- acetylcysteine loading dose

## Parameters

- `weight_kg` (number, required): Weight in kilograms (1-200).

## 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.

Method: `POST /api/calc/acetylcysteine_iv`
Max items: 25
Price: unit_amount + extra_item_amount * (n - 1) (unit 5000 atomic, extra 2000 atomic)
Status: 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:

```json
{
  "items": [
    {
      "weight_kg": "70"
    },
    {
      "weight_kg": "70"
    }
  ]
}
```

Human paywall (two-item fixture): https://api.magentlab.com/paywall/bulk/acetylcysteine-iv

Example 200:

```json
{
  "count": 2,
  "path": "/api/calc/acetylcysteine_iv",
  "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": "Prescott LF, Illingworth RN, Critchley JA, Stewart MJ, Adam RD, Proudfoot AT",
        "doi": "10.1136/bmj.2.6198.1097",
        "id": "prescott-1979",
        "pmid": "519312",
        "source": "Br Med J. 1979;2(6198):1097-1100",
        "title": "Intravenous N-acetylcysteine: the treatment of choice for paracetamol poisoning"
      },
      "formula": "acetylcysteine_iv",
      "formula_expression": "load_mg = weight_kg * 150; infusion_4h_mg = weight_kg * 50; infusion_16h_mg = weight_kg * 100; total_mg = weight_kg * 300; load_minutes = 15; infusion_4h_hours = 4; infusion_16h_hours = 16; total_hours = 20.25",
      "infusion_16h_hours": 16,
      "infusion_16h_mg": 7.0e3,
      "infusion_4h_hours": 4,
      "infusion_4h_mg": 3.5e3,
      "load_mg": 1.05e4,
      "load_minutes": 15,
      "total_hours": 20.25,
      "total_mg": 2.1e4,
      "weight_kg": 70.0
    },
    {
      "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": "Prescott LF, Illingworth RN, Critchley JA, Stewart MJ, Adam RD, Proudfoot AT",
        "doi": "10.1136/bmj.2.6198.1097",
        "id": "prescott-1979",
        "pmid": "519312",
        "source": "Br Med J. 1979;2(6198):1097-1100",
        "title": "Intravenous N-acetylcysteine: the treatment of choice for paracetamol poisoning"
      },
      "formula": "acetylcysteine_iv",
      "formula_expression": "load_mg = weight_kg * 150; infusion_4h_mg = weight_kg * 50; infusion_16h_mg = weight_kg * 100; total_mg = weight_kg * 300; load_minutes = 15; infusion_4h_hours = 4; infusion_16h_hours = 16; total_hours = 20.25",
      "infusion_16h_hours": 16,
      "infusion_16h_mg": 7.0e3,
      "infusion_4h_hours": 4,
      "infusion_4h_mg": 3.5e3,
      "load_mg": 1.05e4,
      "load_minutes": 15,
      "total_hours": 20.25,
      "total_mg": 2.1e4,
      "weight_kg": 70.0
    }
  ]
}
```

## Response fields

- `formula` (string): acetylcysteine_iv
- `formula_expression` (string): Exact expression used
- `weight_kg` (number): Input weight in kg
- `load_mg` (number): Loading dose in milligrams (150 mg/kg over 15 minutes), 1 decimal
- `infusion_4h_mg` (number): First infusion milligrams (50 mg/kg over 4 hours), 1 decimal
- `infusion_16h_mg` (number): Second infusion milligrams (100 mg/kg over 16 hours), 1 decimal
- `total_mg` (number): Total milligrams (300 mg/kg over 20.25 hours), 1 decimal
- `load_minutes` (integer): Loading infusion duration in minutes (15 as published)
- `infusion_4h_hours` (integer): First infusion duration in hours (4)
- `infusion_16h_hours` (integer): Second infusion duration in hours (16)
- `total_hours` (number): Total protocol duration in hours (20.25)
- `citation` (object): Prescott et al. 1979 citation
- `disclaimer` (string): Not-a-device notice

## Example JSON

Frozen fixture. Not a live lookup.

```json
{
  "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": "Prescott LF, Illingworth RN, Critchley JA, Stewart MJ, Adam RD, Proudfoot AT",
    "doi": "10.1136/bmj.2.6198.1097",
    "id": "prescott-1979",
    "pmid": "519312",
    "source": "Br Med J. 1979;2(6198):1097-1100",
    "title": "Intravenous N-acetylcysteine: the treatment of choice for paracetamol poisoning"
  },
  "formula": "acetylcysteine_iv",
  "formula_expression": "load_mg = weight_kg * 150; infusion_4h_mg = weight_kg * 50; infusion_16h_mg = weight_kg * 100; total_mg = weight_kg * 300; load_minutes = 15; infusion_4h_hours = 4; infusion_16h_hours = 16; total_hours = 20.25",
  "infusion_16h_hours": 16,
  "infusion_16h_mg": 7.0e3,
  "infusion_4h_hours": 4,
  "infusion_4h_mg": 3.5e3,
  "load_mg": 1.05e4,
  "load_minutes": 15,
  "total_hours": 20.25,
  "total_mg": 2.1e4,
  "weight_kg": 70.0
}
```

## Errors

- HTTP 400 `invalid_acetylcysteine`: Acetylcysteine inputs must match Prescott 1979 weight from that intravenous protocol. Returned before settlement; you are not charged.
- HTTP 400 `invalid_items`: POST body must be a JSON object with only an items array Returned before settlement; you are not charged.
- HTTP 400 `invalid_item_count`: items must be an array of 1 to 25 objects Returned before settlement; you are not charged.
- HTTP 400 `invalid_item`: each items entry must be a JSON object Returned before settlement; you are not charged.

Shared HTTP 402 and 503: https://magentlab.com/docs/payments

## Related tools

- [King's College criteria](https://magentlab.com/docs/kings-college) — Apply the O'Grady 1989 King's College poor-prognosis criteria for fulminant hepatic failure, with separate acetaminophen and non-acetaminophen trees using prothrombin time in seconds.
- [Fomepizole](https://magentlab.com/docs/fomepizole) — Compute adult IV fomepizole loading and maintenance milligrams from body weight using the AACT 1999 ethylene glycol guideline schedule, with a 12-hour or 4-hour interval from the hemodialysis flag.
- [Estimated ethanol](https://magentlab.com/docs/estimated-ethanol) — Estimate fasting theoretical blood ethanol (Co) from ingested ethanol grams and sex-specific Watson 1980 total body water, using the Watson 1981 Widmark update.

## 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.

- GET the tool with Accept: application/json (do not send Accept: text/html unless you want the human paywall).
- HTTP 402 means you have not paid. Decode the base64 PAYMENT-REQUIRED header. HTTP 503 is not a new quote.
- Sign accepts[0] (exact, EIP-3009) with validBefore = now + maxTimeoutSeconds (600 seconds), or accepts[1] (batch-settlement deposit/voucher) on product GET. Ping and POST {items} stay exact. Magent retries transient facilitator 429/5xx before answering.
- Retry the same URL with PAYMENT-SIGNATURE (base64 JSON of accepted and payload). Magent attaches canonical extensions.bazaar on CDP verify/settle; echoing 402 bazaar is optional.
- Success is HTTP 200 JSON plus PAYMENT-RESPONSE. exact settles before the tool. batch-settlement verifies (and deposit-settles) before the tool and commits the charge after HTTP 2xx. HTTP 503: retry the same PAYMENT-SIGNATURE. Mint a new exact nonce only after a new HTTP 402.

- offered `exact` on eip155:8453: Fixed-price USDC on Base. The buyer authorizes the advertised amount (EIP-3009). magent settles before the tool runs (paymentFlow upfront). extra.assetTransferMethod=eip3009 extra.paymentFlow=upfront.
- offered `batch-settlement` on eip155:8453: Payment-channel vouchers claimed later in batches. Exact stays accepts[0]. Same-path POST {items} is still exact. extra.assetTransferMethod=eip3009 extra.paymentFlow=authorization.

- not offered `upto`: Not offered. Usage-based: buyer authorizes a ceiling, seller settles the actual amount after work. Reserved for a future metered tool. Not for current calculators or code search.

Same-path POST {items} is still scheme exact: one EIP-3009 authorization for GET unit plus $0.002 per extra item. That is not x402 batch-settlement (payment channels / vouchers).

Shared HTTP 402 and 503 table: https://magentlab.com/docs/payments

Stdio MCP (one process per host): https://magentlab.com/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. HTTP 402 never includes the tool JSON.
- 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.
