A dynamic treatment regime is a set of decision rules for how to treat a patient at multiple time points. At each time point, a treatment decision is made depending on the patient's medical history up to that point. We consider the infinite-horizon setting in which the number of decision points is very large. Specifically, we consider long trajectories of patients' measurements recorded over time. At each time point, the decision whether to intervene or not is conditional on whether or not there was a change in the patient's trajectory. We present change-point detection tools and show how to use them in defining dynamic treatment regimes. The performance of these regimes is assessed using an extensive simulation study. We demonstrate the utility of the proposed change-point detection approach using two case studies: detection of sepsis in preterm infants in the intensive care unit and detection of a change in glucose levels of a diabetic patient.
Bibliographical noteFunding Information:
The author(s) disclosed receipt of the following financial support for the research, authorship, and/or publication of this article: Y. Goldberg was funded in part by NSF grant DMS-1407732. The work of M. Pollak was supported by the Marcy Bogen Chair of Statistics at the Hebrew University of Jerusalem and Israel Science Foundation Grant number 1450/13.
© The Author(s) 2017.
- Late-onset neonatal sepsis
- dynamic treatment regime
- infinite horizon
- personalized medicine
- sequential change-point detection