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magent PSA Density Calculator (Benson 1992)
x402
magent PSA Density Calculator (Benson 1992) is a paid API for AI agents from api.magentlab.com, paid per call via x402, $0.005/call, status unknown (last checked 2026-09-14).
Calculates PSA density (PSAD) using the Benson 1992 formula from serum PSA and prostate volume (or three gland dimensions), and classifies the result into standard clinical bands.
Price / call$0.005
Success—
StatusUnknown
How this service works
Benson 1992 PSA density: psa_ng_ml / prostate volume (ml). Volume is length_cm × width_cm × depth_cm × 0.5 (D1×D2×D3×1/2), not π/6. Provide PSA with prostate_volume_ml (1-500) or three dimensions (1-20 cm each), not both. Reports dimensionless psad to 3 decimals and retrospective bands <=0.05, 0.05-0.10, >=0.10. magent does not measure the gland or diagnose cancer. Not a medical device.
Output
Returns a dimensionless PSAD value rounded to 3 decimal places and a retrospective band classification — ≤0.05 (low), 0.05–0.10 (intermediate), or ≥0.10 (elevated) — based on the Benson 1992 definition. Does not diagnose cancer or measure the prostate gland.
Example use cases
Urology clinic PSAD workup
“My patient has a PSA of 8.1 ng/mL and a prostate volume measured at 52 mL on ultrasound — can you calculate their PSA density and tell me which Benson band it falls into?”
Prostate dimension-based PSAD from MRI
“I have prostate measurements from an MRI: length 4.2 cm, width 3.5 cm, depth 3.0 cm, and the PSA is 5.7 ng/mL. What's the PSA density using the Benson 1992 formula?”
Automated PSAD flagging in EHR pipeline
“For each patient record, compute PSA density from their reported PSA in ng/mL and prostate volume in mL, and flag any result in the ≥0.10 band for clinical review.”
Technical details
Endpoint
GEThttps://api.magentlab.com/api/calc/psadWhen to prefer
Choose this endpoint when you need a fast, standards-referenced PSAD computation using the Benson 1992 ellipsoid-like volume formula (L×W×D×0.5) rather than π/6, and you want automatic band classification alongside the raw ratio. Ideal for urology or clinical decision-support agents that already have PSA lab values and either a direct volume measurement or three gland dimensions from ultrasound or MRI.
Side effects
- Missing psa_ng_ml parameter — required for all calls
- Supplying both prostate_volume_ml and dimension parameters simultaneously — mutually exclusive inputs
- Out-of-range PSA value (outside 0.01–10000 ng/mL clamped range)
- Out-of-range prostate volume (outside 1–500 mL)
- Out-of-range dimension (any of length/width/depth outside 1–20 cm)
- Providing only one or two of the three required dimensions without prostate_volume_ml — all three must be supplied together
- Payment failure — endpoint requires $0.005 USDC via x402 protocol
Input
Schema · Request body
| Field | Type | Description |
|---|---|---|
| inputrequired | object | |
| output | object |
Tags
x402
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