Accommodation of multiple groups
The model discussed so far assumes that all patients are grouped together, implying that the MTD is expected to be the same for all of them. However, there are circumstances where patients need to be treated in different groups, leading to different MTDs across these groups. Simultaneously, given the limited sample size inherent to dose-finding problems in phase I studies, it is desirable to estimate these MTDs using a single model that allows information to be shared across different groups. The objective within this formulation is to maximize the therapeutic effect of a treatment for individual patients/groups, which is referred to as personalized maximum tolerated doses (MTDs) [Our framework can be extended to estimate MTDs for multiple groups. To illustrate, we consider two groups, labeled as A and B, with the goal of estimating MTDs denoted as 