Optimal duration and planning of switching treatments taking drug toxicity into account

Optimal duration and planning of switching treatments taking drug toxicity into account: a convex optimisation approach

Devia Pinzon, C.A. (TU Delft Team Tamas Keviczky)
Giordano, G. (TU Delft Team Tamas Keviczky)

2019

We consider a multi-compartment evolutionary model representing growth, mutation and migration of cancer cells, as well as the effect of drugs, and we design optimal switching targeted cancer therapies where a single drug, or suitable drug combination, is given at each time so as to minimise not only the overall tumor size over a finite horizon, but also drug-provoked side effects. The strong diagonally- dominant structure of the model allows to solve the problem via convex optimisation. We provide an algorithm that yields optimality throughout the whole treatment duration by solving the convex optimisation problem with different horizons, and show how dwell time can be enforced via heuristics. Also the optimal treatment duration can be computed via convex optimisation. The proposed approaches are applied to a model of ALK-rearranged lung carcinoma.

http://resolver.tudelft.nl/uuid:e3ca7658-b6a8-4725-9657-57eb3de2f38c

https://doi.org/10.1109/CDC40024.2019.9028881

IEEE, Piscataway, NJ, USA

978-1-7281-1398-2

Proceedings of the 58th IEEE Conference on Decision and Control

Accepted Author Manuscript

Institutional Repository

conference paper

© 2019 C.A. Devia Pinzon, G. Giordano