University of Twente Student Theses


Stratified Breast Cancer Follow-Up Using a Continuous-state POMDP.

Otten, J.W.M. (2017) Stratified Breast Cancer Follow-Up Using a Continuous-state POMDP.

[img] PDF
Abstract:Frequency and duration of follow-up for patients with breast cancer is still under discussion. Current follow-up consists of annual mammography for the first five years after treatment and does not depend on the personal risk of developing a locoregional recurrence (LRR) or second primary tumor. Aim of this study is to formulate a continuous-state POMDP, in which at every epoch a decision is made whether or not to test, based on the personal risk factors of the patient. We show that the optimal value function of the POMDP is piece-wise linear and convex (PWLC). This result provides an alternative expression of the optimal value function, which leads to a solution algorithm for the POMDP. Under some conditions the optimal value function can be obtained by a simple solution algorithm. We present results for this case to illustrate how the model can be applied in practice.
Item Type:Essay (Master)
Faculty:EEMCS: Electrical Engineering, Mathematics and Computer Science
Subject:31 mathematics
Programme:Applied Mathematics MSc (60348)
Link to this item:
Export this item as:BibTeX
HTML Citation
Reference Manager


Repository Staff Only: item control page