Optimal Control in a Model of Chemotherapy-induced Radiosensilisation

• Autorzy: Piotr Bajger , Krzysztof Fujarewicz , Andrzej Świerniak
• Języki publikacji: EN

Abstrakty

EN

  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.

Słowa kluczowe

EN

radiochemotherapy, optimal control, survival curves, radiosensilisation

• Wydawca: Polish Mathematical Society
• Czasopismo: Mathematica Applicanda
• Rocznik: 2019
• Tom: 47
• Numer: 1

Daty

wydano

2019

online

2019-07-11

Twórcy

autor

Piotr Bajger

autor

Krzysztof Fujarewicz

autor

Andrzej Świerniak

Identyfikatory

DOI

10.14708/ma.v47i1.6480