{"uid":"cap_e1b0ODcuQIxYVly3xvs7_","slug":"magent-bed-calculator-fowler-1989-a3c25c19","name":"magent BED Calculator (Fowler 1989)","description":"Fowler 1989 BED without a time or repopulation term: BED = n * d * (1 + d / (alpha/beta)). n equal fractions (1-50), d Gy per fraction (0.5-30), caller-assigned tissue alpha/beta (1-20 Gy). Rounds to 1 decimal. Rejects non-positive n*d or alpha/beta. No T_k/T_pot, no EQD2. Not a radiotherapy prescription. magent does not plan radiotherapy. Not a medical device.","url":"https://api.magentlab.com/api/calc/bed","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":["n","d_gy","alpha_beta"],"properties":{"n":{"type":"integer","description":"Number of equal fractions (integer 1-50, magent clamp; Fowler 1989 does not publish an input band). Caller supplies n. magent does not plan a fraction schedule."},"d_gy":{"type":"number","description":"Dose per fraction in Gy (0.5-30, magent clamp). Caller supplies d. magent does not prescribe dose."},"alpha_beta":{"type":"number","description":"Caller-assigned tissue α/β in Gy (1-20, magent clamp). magent does not assign α/β from a tissue table."}}}},"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_BNNw2H86Hvu4Z1cb9aRRU","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 Biologically Effective Dose (BED) using the Fowler 1989 formula: BED = n × d × (1 + d / (α/β)), given number of fractions, dose per fraction, and tissue alpha/beta ratio.","exampleAgentPrompt":"Calculate the BED using the Fowler 1989 formula for 25 fractions of 2 Gy per fraction with an alpha/beta ratio of 10 Gy.","exampleUseCases":[{"title":"Prostate SBRT BED evaluation","prompt":"What's the BED for a prostate SBRT schedule of 5 fractions at 7.25 Gy each, using an alpha/beta of 1.5 Gy?"},{"title":"Palliative bone metastasis fractionation check","prompt":"Calculate the BED for a palliative bone met treatment: 10 fractions of 3 Gy, with an alpha/beta of 10 Gy."},{"title":"Comparing conventional vs hypofractionated breast radiotherapy","prompt":"Give me the BED for a conventional breast RT schedule of 25 fractions at 2 Gy, with alpha/beta of 4 Gy."}],"resultDescription":"Returns a single BED value in Gy, rounded to 1 decimal place, computed as n × d × (1 + d / (α/β)). The API validates inputs and rejects non-positive values for n, d_gy, or alpha_beta, and enforces parameter clamps (n: 1–50, d_gy: 0.5–30, alpha_beta: 1–20).","failureModes":["Non-positive n or d_gy or alpha_beta — request rejected with error","n outside 1–50 range — clamped or rejected","d_gy outside 0.5–30 Gy range — clamped or rejected","alpha_beta outside 1–20 Gy range — clamped or rejected","Missing required query parameters — returns validation error","Payment not included or insufficient — x402 payment required response"],"whenToPreferThis":"Use this endpoint when you need a fast, formula-exact BED computation based strictly on the Fowler 1989 model (no time correction, no repopulation, no EQD2 conversion). Prefer this over general radiobiology tools when you need a lightweight, auditable single-formula result without tissue-table lookups or prescription logic.","instructions":null,"reviewSummary":null,"reviewSummaryHighlights":null,"reviewSummaryConcerns":null,"reviewSummaryGeneratedAt":null,"activationCount":0,"lastUsedAt":null,"lastSuccessfullyRanAt":null,"lastHealthCheckAt":"2026-09-14T06:49:38.638Z","isFirstParty":false}