Title: Weibull model
Long Title: IUPAC Gold Book - Weibull model
DOI: 10.1351/goldbook.15131
Status: current

Definition
Dose–response model of the form \[P(d) = \gamma + (1 - \gamma)(1 - e^{-\beta d^{\alpha}})\] where \(P(d)\) is the probability of a tumor (or other response) from lifetime, continuous exposure at dose \(d\) until age \(t\) (when tumor is fatal), \(\alpha\) is a fitted dose parameter (sometimes called the Weibull parameter), \(\beta\) is a fitted dose parameter, and \(\gamma\) is the background response rate.

Related Term
- Dose–response: https://goldbook.iupac.org//terms/view/14604

Source
- PAC, 2009, 81, 829. 'Glossary of terms used in ecotoxicology (IUPAC Recommendations 2009)' on page 963 (https://doi.org/10.1351/PAC-REC-08-07-09)

Other Outputs
- html: https://goldbook.iupac.org/terms/view/15131/html
- json: https://goldbook.iupac.org/terms/view/15131/json
- xml: https://goldbook.iupac.org/terms/view/15131/xml

Citation: Citation: 'Weibull model' in IUPAC Compendium of Chemical Terminology, 5th ed. International Union of Pure and Applied Chemistry; 2025. Online version 5.0.0, 2025. 10.1351/goldbook.15131
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Accessed: 2026-06-13T22:54:34+00:00