Sequential Search of an Optimal Dosage: Some Preliminary Results and Suggested Areas for Further Research
CASE WESTERN RESERVE UNIV CLEVELAND OHDEPT OF MATHEMATICS AND STATISTICS
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Sequential search procedures are described for determining an optimal dosage in the following biomedical problem. People are subjected to a certain chemotheraputic treatment and on the one hand it is desirable to give each individual the maximal possible dosage. On the other hand, high doses create undesirable toxicity, and it is undesirable to cross a certain limit of allowable toxicity level. The optimal dosage is defined as the maximal dose for which the proportion of patients in the population whose toxicity level will not cross the allowable limit is gamma. In the present paper the authors discuss Bayesian and non-Bayesian sequential procedures for the optimal dosage, assuming a linear regression between toxicity and dosage, and normal conditional distribution of the toxicity level at each dose, with a known variance.
- Medicine and Medical Research