{"uid":"cap_oPB82D-GLMgAFBciuH6NU","slug":"magent-psa-density-calculator-benson-1992-2e906acf","name":"magent PSA Density Calculator (Benson 1992)","description":"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.","url":"https://api.magentlab.com/api/calc/psad","method":"GET","headers":{},"bodySchema":{"type":"object","$schema":"https://json-schema.org/draft/2020-12/schema","required":["input"],"properties":{"input":{"type":"object","required":["type","method"],"properties":{"type":{"type":"string","const":"http"},"method":{"enum":["GET","HEAD","DELETE"],"type":"string"},"headers":{"type":"object","additionalProperties":{"type":"string"}},"queryParams":{"type":"object","required":["psa_ng_ml"],"properties":{"depth_cm":{"type":"number","description":"Prostate depth (D3) in cm (1-20). Required with length_cm and width_cm when prostate_volume_ml is omitted."},"width_cm":{"type":"number","description":"Prostate width (D2) in cm (1-20). Required with length_cm and depth_cm when prostate_volume_ml is omitted."},"length_cm":{"type":"number","description":"Prostate length (D1) in cm (1-20). Required with width_cm and depth_cm when prostate_volume_ml is omitted. Benson volume = L×W×D×0.5."},"psa_ng_ml":{"type":"number","description":"Serum prostate-specific antigen in ng/ml (0.01-10000, magent clamp). magent does not assay PSA."},"prostate_volume_ml":{"type":"number","description":"Caller-supplied prostate volume in ml (1-500). Provide this or length_cm, width_cm, and depth_cm, not both. magent does not measure the gland."}}}},"additionalProperties":false},"output":{"type":"object","required":["type"],"properties":{"type":{"type":"string"},"example":{"type":"object"}}}}},"responseSchema":null,"example":null,"exampleRequest":null,"tags":["x402"],"displayCostAmount":"0.005","displayCostAsset":"USDC","priceDynamic":false,"priceHint":null,"priceStatus":"priced","priceSource":"probe","requiresHandshake":false,"reviewCount":0,"rating":{"score":"0.00","successRate":"0.00","reviews":0,"stars":null,"state":"unrated"},"availabilityStatus":"unknown","priceObserved":null,"sessionDeposit":null,"pricing":{"kind":"static","summary":"$0.005/call","primary":{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.005","per":"call","confidence":"exact"},"accepted":[{"kind":"static","protocol":"x402","network":"base","amountUsd":"0.005","per":"call","confidence":"exact"}]},"paymentMethods":[{"uid":"pm_js0Swmig9HcNwFKrjxvuR","protocol":"x402","methodType":"crypto","chain":"base","mode":"charge","costAmount":"0.005","costPer":"request","priority":0,"asset":"0x833589fCD6eDb6E08f4c7C32D4f71b54bdA02913","unit":"request","depositMicros":null,"planRef":null}],"brandName":null,"brandSlug":null,"brandBaseUrl":null,"brandDocsUrl":null,"whatItDoes":"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.","exampleAgentPrompt":"Calculate the PSA density for a patient with a serum PSA of 6.4 ng/mL and prostate dimensions of 4.5 cm length, 3.8 cm width, and 3.2 cm depth using the Benson 1992 formula, and tell me which clinical band it falls into.","exampleUseCases":[{"title":"Urology clinic PSAD workup","prompt":"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?"},{"title":"Prostate dimension-based PSAD from MRI","prompt":"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?"},{"title":"Automated PSAD flagging in EHR pipeline","prompt":"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."}],"resultDescription":"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.","failureModes":["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"],"whenToPreferThis":"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.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T07:00:46.212Z","isFirstParty":false}