What does a modified-Fibonacci dose-escalation actually correspond to?

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Abstract

Background: In most phase I oncology trials, it is often stated that the dose increments follow a "modified- Fibonacci sequence". This term, however, is vague. Methods: To better characterize this sequence, we reviewed 81 phase I trials based on this concept. Results: Out of 198 phase I oncology trials, 81 (41%) are based on modified-Fibonacci series. Actual incremental ratios varied in a large range from 0.80 to 2.08. The median of actual increments was about 2.00, 1.50, 1.33, 1.33, 1.33, 1.33, 1.30, 1.35. . .. The "modified Fibonacci-sequence" gathers heterogeneous variation of the genuine sequence, which does not tend to a constant number at higher dose-levels. Conclusion: This confusing term should be avoided. © 2012 Penel and Kramar; licensee BioMed Central Ltd.

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Penel, N., & Kramar, A. (2012). What does a modified-Fibonacci dose-escalation actually correspond to? BMC Medical Research Methodology, 12. https://doi.org/10.1186/1471-2288-12-103

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