Optimal Control in a Model of Chemotherapy-induced Radiosensilisation

Piotr Bajger, Krzysztof Fujarewicz, and Andrzej Świerniak. "Optimal Control in a Model of Chemotherapy-induced Radiosensilisation." Mathematica Applicanda 47.1 (2019): null. <http://eudml.org/doc/295505>.

@article{PiotrBajger2019,
abstract = {  In this work, we consider a simple mathematical model of radiochemotherapy which includes a term responsible for radiosensitization. We focus on finding theoretically optimal controls which maximise tumour cure probability for a finite, fixed therapeutic horizon. We prove that the optimal controls for both therapies are of 0-bang type, a result which is not altered by the inclusion of the radiosensilization term. By means of numerical simulations, we show that optimal control offers a moderate increase in survival time over a sequential treatment. We then revisit in more detail a question of measuring the synergy between the therapies by means of isobolograms, a common experimental technique for measuring the additivity of two treatments.},
author = {Piotr Bajger, Krzysztof Fujarewicz, Andrzej Świerniak},
journal = {Mathematica Applicanda},
keywords = {radiochemotherapy, optimal control, survival curves, radiosensilisation},
language = {eng},
number = {1},
pages = {null},
title = {Optimal Control in a Model of Chemotherapy-induced Radiosensilisation},
url = {http://eudml.org/doc/295505},
volume = {47},
year = {2019},
}

TY - JOUR
AU - Piotr Bajger
AU - Krzysztof Fujarewicz
AU - Andrzej Świerniak
TI - Optimal Control in a Model of Chemotherapy-induced Radiosensilisation
JO - Mathematica Applicanda
PY - 2019
VL - 47
IS - 1
SP - null
AB -   In this work, we consider a simple mathematical model of radiochemotherapy which includes a term responsible for radiosensitization. We focus on finding theoretically optimal controls which maximise tumour cure probability for a finite, fixed therapeutic horizon. We prove that the optimal controls for both therapies are of 0-bang type, a result which is not altered by the inclusion of the radiosensilization term. By means of numerical simulations, we show that optimal control offers a moderate increase in survival time over a sequential treatment. We then revisit in more detail a question of measuring the synergy between the therapies by means of isobolograms, a common experimental technique for measuring the additivity of two treatments.
LA - eng
KW - radiochemotherapy, optimal control, survival curves, radiosensilisation
UR - http://eudml.org/doc/295505
ER -