# Levothyroxine (LT4) replacement dose

Levothyroxine dose

Status: LIVE
Price: $0.005 USDC
`GET /api/calc/levothyroxine_dose`
HTML: https://magentlab.com/docs/levothyroxine-dose
Markdown: https://magentlab.com/docs/levothyroxine-dose.md

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

## What it computes

Estimate an adult full-replacement daily levothyroxine (LT4) dose from body weight using the ATA 2014 average of approximately 1.6 μg/kg per day.

## When to use

When an agent needs the published ATA adult full-replacement estimate and must not invent TSH-guided titration, a tablet strength, a pediatric dose, or pregnancy-specific dosing.

## When not to use

- Not a prescription, TSH-guided titration, pediatric dose, or pregnancy-specific dose. The ATA guideline notes adjustments in pregnancy; this tool is the adult full-replacement estimate only.
- The estimate may need lean-body-mass adjustment (ATA). Elderly and cardiac patients often start lower; magent does not invent a second formula for those groups.
- magent does not choose a tablet strength. Not a medical device.

## Formula

```
daily_lt4_mcg = weight_kg * 1.6
```

## Citation

[Guidelines for the treatment of hypothyroidism: prepared by the American Thyroid Association task force on thyroid hormone replacement](https://doi.org/10.1089/thy.2014.0028)
Jonklaas J, Bianco AC, Bauer AJ, et al.
Thyroid. 2014;24(12):1670-1751
DOI: [10.1089/thy.2014.0028](https://doi.org/10.1089/thy.2014.0028)

## Worked example

### 70 kg adult full replacement

Given: `weight_kg=70`

1. daily_lt4_mcg = 70 * 1.6 = 112.0 mcg


### 50 kg adult full replacement

Given: `weight_kg=50`

1. daily_lt4_mcg = 50 * 1.6 = 80.0 mcg


### 154 lb adult full replacement

Given: `weight_lb=154`

1. weight_kg = Params.weight_kg: 154 lb * 0.45359237, rounded to 4 decimals
2. daily_lt4_mcg = weight_kg * 1.6, rounded to 1 decimal


## Also searched as

- levothyroxine dose
- LT4 replacement
- thyroxine replacement dose
- hypothyroidism replacement
- 1.6 mcg/kg levothyroxine
- ATA levothyroxine dose
- T4 full replacement

## Parameters

- `weight_kg` (number, optional): Weight in kilograms (1-500). Provide weight_kg or weight_lb.
- `weight_lb` (number, optional): Weight in pounds (2-1100). Converted as kg = lb * 0.45359237.

## 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/levothyroxine_dose`
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/levothyroxine-dose

Example 200:

```json
{
  "count": 2,
  "path": "/api/calc/levothyroxine_dose",
  "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": "Jonklaas J, Bianco AC, Bauer AJ, et al.",
        "doi": "10.1089/thy.2014.0028",
        "id": "jonklaas-2014",
        "pmid": "25266247",
        "source": "Thyroid. 2014;24(12):1670-1751",
        "title": "Guidelines for the treatment of hypothyroidism: prepared by the American Thyroid Association task force on thyroid hormone replacement"
      },
      "formula": "levothyroxine_dose",
      "formula_expression": "daily_lt4_mcg = weight_kg * 1.6",
      "weight_kg": 70.0,
      "daily_lt4_mcg": 112.0
    },
    {
      "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": "Jonklaas J, Bianco AC, Bauer AJ, et al.",
        "doi": "10.1089/thy.2014.0028",
        "id": "jonklaas-2014",
        "pmid": "25266247",
        "source": "Thyroid. 2014;24(12):1670-1751",
        "title": "Guidelines for the treatment of hypothyroidism: prepared by the American Thyroid Association task force on thyroid hormone replacement"
      },
      "formula": "levothyroxine_dose",
      "formula_expression": "daily_lt4_mcg = weight_kg * 1.6",
      "weight_kg": 70.0,
      "daily_lt4_mcg": 112.0
    }
  ]
}
```

## Response fields

- `formula` (string): levothyroxine_dose
- `formula_expression` (string): Exact expression used
- `weight_kg` (number): Normalized weight in kg
- `daily_lt4_mcg` (number): Adult full-replacement levothyroxine (LT4) estimate in mcg/day, 1 decimal
- `citation` (object): Jonklaas et al. ATA 2014 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": "Jonklaas J, Bianco AC, Bauer AJ, et al.",
    "doi": "10.1089/thy.2014.0028",
    "id": "jonklaas-2014",
    "pmid": "25266247",
    "source": "Thyroid. 2014;24(12):1670-1751",
    "title": "Guidelines for the treatment of hypothyroidism: prepared by the American Thyroid Association task force on thyroid hormone replacement"
  },
  "formula": "levothyroxine_dose",
  "formula_expression": "daily_lt4_mcg = weight_kg * 1.6",
  "weight_kg": 70.0,
  "daily_lt4_mcg": 112.0
}
```

## Errors

- HTTP 400 `invalid_weight`: weight_kg (1-500) or weight_lb (2-1100) is required 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

- [Phenytoin correction](https://magentlab.com/docs/phenytoin-correction) — Estimate an albumin-adjusted total-equivalent phenytoin concentration from observed total phenytoin and albumin, with an optional renal binding-factor change.
- [Glucocorticoid dose conversion](https://magentlab.com/docs/steroid-conversion) — Convert a glucocorticoid dose among hydrocortisone, prednisone, and dexamethasone using Meikle 1977 equivalent doses (20 mg : 5 mg : 0.75 mg).

## 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.
