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An Extension of the Continual Reassessment Method Using Decision Theory by Denis Heng‐Yan Leung; You‐Gan Wang is a Mathematics article available to read on EtoBox.

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## Abstract The primary goal of a phase I trial is to find the maximally tolerated dose (MTD) of a treatment. The MTD is usually defined in terms of a tolerable probability, __q__^\*^, of toxicity. Our objective is to find the highest dose with toxicity risk that does not exceed __q__^\*^, a criterion that is often desired in designing phase I trials. This criterion differs from that of finding the dose with toxicity risk closest to __q__^\*^, that is used in methods such as the continual reassessment method. We use the theory of decision processes to find optimal sequential designs that maximize the expected number of patients within the trial allocated to the highest dose with toxicity not exceeding __q__^\*^, among the doses under consideration. The proposed method is very general in the sense that criteria other than the one considered here can be optimized and that optimal dose assignment can be defined in terms of patients within or outside the trial. It includes as an important special case the continual reassessment method. Numerical study indicates the strategy compares favourably with other phase I designs. Copyright © 2002 John Wiley & Sons, Ltd.

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Author

Denis Heng‐Yan Leung; You‐Gan Wang

Publisher

John Wiley and Sons; Wiley (John Wiley & Sons); John Wiley & Sons Inc.; Wiley (ISSN 0277-6715)

Published

2001

Language

EN

Field

Mathematics (Physical Sciences)