{"term":{"id":"15131","title":"Weibull model","longtitle":"IUPAC Gold Book - Weibull model","doi":"10.1351\/goldbook.15131","code":"15131","status":"current","definitions":[{"id":1,"text":"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.","links":[{"term":"Dose–response","url":"https:\/\/goldbook.iupac.org\/\/terms\/view\/14604"}],"sources":["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)"]}],"altoutputs":{"html":"https:\/\/goldbook.iupac.org\/terms\/view\/15131\/html","xml":"https:\/\/goldbook.iupac.org\/terms\/view\/15131\/xml","plain":"https:\/\/goldbook.iupac.org\/terms\/view\/15131\/plain"},"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","license":"The IUPAC Gold Book is licensed under Creative Commons Attribution-ShareAlike CC BY-SA 4.0 International (https:\/\/creativecommons.org\/licenses\/by-sa\/4.0\/) for individual terms.","collection":"If you are interested in licensing the Gold Book for commercial use, please contact the IUPAC Executive Director at executivedirector@iupac.org .","disclaimer":"The International Union of Pure and Applied Chemistry (IUPAC) is continuously reviewing and, where needed, updating terms in the Compendium of Chemical Terminology (the IUPAC Gold Book). Users of these terms are encouraged to include the version of a term with its use and to check regularly for updates to term definitions that you are using.","accessed":"2026-06-13T22:54:35+00:00"}}