WEDGE
FENa
Compute fractional excretion of sodium from plasma and urine sodium and creatinine using Espinel 1976.
Markdown: /docs/fena.md · Canonical: https://magentlab.com/docs/fena
Not a medical device. Not a diagnosis, dose, or listing recommendation.
What it computes
Compute fractional excretion of sodium from plasma and urine sodium and creatinine using Espinel 1976.
When to use
When an agent needs Espinel FENa arithmetic and must not invent a prerenal versus ATN cutoff.
When not to use
- Not a diagnosis and not a treatment order. Espinel 1976 strata were described in oliguric acute renal failure; FENa <1 prerenal and FENa >3 ATN are paper cutoffs, not an AKI taxonomy.
- Diuretics, CKD, and non-oliguric injury confound FENa. This tool does not adjust for those states.
Formula
FENa_percent = 100 * (urine_sodium_mmol_l * plasma_creatinine_mg_dl) / (plasma_sodium_mmol_l * urine_creatinine_mg_dl)
Citation
- Title
- The FENa test. Use in the differential diagnosis of acute renal failure
- Authors
- Espinel CH
- Source
- JAMA. 1976;236(6):579-581
Worked example
UNa 20, PNa 140, UCr 100, PCr 2.0
Given:
creatinine_mg_dl=2.0sodium_mmol_l=140urine_creatinine_mg_dl=100urine_sodium_mmol_l=20
- FENa = 100 * (20 * 2.0) / (140 * 100) = 0.2857…
- Round to 2 decimals → 0.29
- Espinel 1976 stratum <1 → prerenal
Try
Opens the live endpoint. Unpaid browser requests show the paywall; agents should send Accept: application/json.
Full URL: https://api.magentlab.com/api/calc/fena?sodium_mmol_l=140&creatinine_mg_dl=2.0&urine_sodium_mmol_l=20&urine_creatinine_mg_dl=100
x402 V2 curl
Expect HTTP 402 and a PAYMENT-REQUIRED
header until you retry with PAYMENT-SIGNATURE. Incomplete query params return HTTP
400 before any quote or charge. HTTP 503 after a signature: retry the same
PAYMENT-SIGNATURE
— that is not a new 402.
curl -i -H "Accept: application/json" "https://api.magentlab.com/api/calc/fena?sodium_mmol_l=140&creatinine_mg_dl=2.0&urine_sodium_mmol_l=20&urine_creatinine_mg_dl=100"
Cursor mcp.json
Intended config for @magent/mcp. This is not npm @x402/fetch
(a payment fetch wrapper).
{
"mcpServers": {
"magent": {
"args": [
"-y",
"@magent/mcp"
],
"command": "npx",
"env": {
"X402_PRIVATE_KEY": "0xYOUR_SPENDING_KEY"
}
}
}
}
Parameters
| Name | Type | Required | Description |
|---|---|---|---|
sodium_mmol_l |
number | required | Plasma or serum sodium in mmol/L (110-160). |
creatinine_mg_dl |
number | optional | Plasma creatinine in mg/dL (0.1-20). Provide this or creatinine_umol_l. |
creatinine_umol_l |
number | optional | Plasma creatinine in µmol/L (9-1768). Converted as mg/dL = µmol/L / 88.42. |
urine_sodium_mmol_l |
number | required | Urine sodium in mmol/L (1-300). |
urine_creatinine_mg_dl |
number | optional | Urine creatinine in mg/dL (1-500). Provide this or urine_creatinine_umol_l. |
urine_creatinine_umol_l |
number | optional | Urine creatinine in µmol/L (88-44210). Converted as mg/dL = µmol/L / 88.42. |
Bulk (POST)
POST the same path with a JSON items array. Price is n times the GET unit. Invalid items return HTTP 400 before settlement.
- 1 to 25 items. Each item uses the same keys as the GET query parameters.
- 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": [
{
"creatinine_mg_dl": "2.0",
"sodium_mmol_l": "140",
"urine_creatinine_mg_dl": "100",
"urine_sodium_mmol_l": "20"
},
{
"creatinine_mg_dl": "2.0",
"sodium_mmol_l": "140",
"urine_creatinine_mg_dl": "100",
"urine_sodium_mmol_l": "20"
}
]
}
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/fena",
"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": "Espinel CH",
"doi": "10.1001/jama.1976.03270060029022",
"id": "espinel-1976",
"source": "JAMA. 1976;236(6):579-581",
"title": "The FENa test. Use in the differential diagnosis of acute renal failure"
},
"formula": "fena",
"formula_expression": "FENa_percent = 100 * (urine_sodium_mmol_l * plasma_creatinine_mg_dl) / (plasma_sodium_mmol_l * urine_creatinine_mg_dl)",
"sodium_mmol_l": 140.0,
"creatinine_mg_dl": 2.0,
"urine_creatinine_mg_dl": 100.0,
"espinel_stratum": "prerenal",
"fena_percent": 0.29,
"urine_sodium_mmol_l": 20.0
},
{
"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": "Espinel CH",
"doi": "10.1001/jama.1976.03270060029022",
"id": "espinel-1976",
"source": "JAMA. 1976;236(6):579-581",
"title": "The FENa test. Use in the differential diagnosis of acute renal failure"
},
"formula": "fena",
"formula_expression": "FENa_percent = 100 * (urine_sodium_mmol_l * plasma_creatinine_mg_dl) / (plasma_sodium_mmol_l * urine_creatinine_mg_dl)",
"sodium_mmol_l": 140.0,
"creatinine_mg_dl": 2.0,
"urine_creatinine_mg_dl": 100.0,
"espinel_stratum": "prerenal",
"fena_percent": 0.29,
"urine_sodium_mmol_l": 20.0
}
]
}
Response
| Field | Type | Description |
|---|---|---|
formula |
string | fena |
formula_expression |
string | Exact expression used |
sodium_mmol_l |
number | Plasma sodium in mmol/L |
creatinine_mg_dl |
number | Normalized plasma creatinine |
urine_sodium_mmol_l |
number | Urine sodium in mmol/L |
urine_creatinine_mg_dl |
number | Normalized urine creatinine in mg/dL |
fena_percent |
number | FENa in percent, 2 decimal places |
espinel_stratum |
string | Espinel 1976 oliguric ARF strata: prerenal (FENa <1), indeterminate (1-3), atn (FENa >3). Not a diagnosis. |
citation |
object | JAMA 1976 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": "Espinel CH",
"doi": "10.1001/jama.1976.03270060029022",
"id": "espinel-1976",
"source": "JAMA. 1976;236(6):579-581",
"title": "The FENa test. Use in the differential diagnosis of acute renal failure"
},
"formula": "fena",
"formula_expression": "FENa_percent = 100 * (urine_sodium_mmol_l * plasma_creatinine_mg_dl) / (plasma_sodium_mmol_l * urine_creatinine_mg_dl)",
"sodium_mmol_l": 140.0,
"creatinine_mg_dl": 2.0,
"urine_creatinine_mg_dl": 100.0,
"espinel_stratum": "prerenal",
"fena_percent": 0.29,
"urine_sodium_mmol_l": 20.0
}
Errors
| HTTP | Code | When |
|---|---|---|
| 400 | invalid_sodium |
sodium_mmol_l must be a number from 110 to 160 Returned before settlement; you are not charged. |
| 400 | invalid_creatinine |
creatinine_mg_dl (0.1-20) or creatinine_umol_l (9-1768) is required Returned before settlement; you are not charged. |
| 400 | invalid_urine_sodium |
urine_sodium_mmol_l must be a number from 1 to 300. Returned before settlement; you are not charged. |
| 400 | invalid_urine_creatinine |
urine_creatinine_mg_dl (1-500) or urine_creatinine_umol_l (88-44210) is required. 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. |
| 402 | payment_required |
Missing or invalid PAYMENT-SIGNATURE; decode the PAYMENT-REQUIRED header |
| 409 | payment_in_progress |
The same authorization nonce is already being settled; retry shortly |
| 429 | rate_limited |
Too many requests from this client |
| 503 | settlement_uncertain |
Settlement is unconfirmed; retry with the same PAYMENT-SIGNATURE |
| 503 | settle_failed |
Settlement failed; retry with the same PAYMENT-SIGNATURE shortly |
| 503 | facilitator_unavailable |
Payment facilitator unavailable |
| 503 | facilitator_misconfigured |
Payment facilitator is not configured |
| 503 | facilitator_unauthorized |
Payment facilitator rejected credentials |
| 503 | ledger_unavailable |
Payment ledger unavailable |
| 503 | payment_unavailable |
Payment processing unavailable |
Related tools
- Cockcroft–Gault CrCl — Compute Cockcroft–Gault creatinine clearance in mL/min using total body weight.
- CKD-EPI 2021 eGFR — Compute race-free CKD-EPI 2021 creatinine eGFR in mL/min/1.73m2.
- FEUrea — Compute fractional excretion of urea (FEUN) from BUN, urine urea nitrogen, plasma creatinine, and urine creatinine.
Also searched as
- fractional excretion of sodium
- FENa
- Espinel FENa test
- urine sodium fraction
- prerenal versus ATN
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.
Guarantees
- Invalid query parameters return HTTP 400 before settlement. You are not charged.
- Settlement finishes before the tool executes. 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 not persisted. Request logs store path without query.