- Tytuł:
-
Optimal Control in a Model of Chemotherapy-induced Radiosensilisation
Optymalne sterowanie w modelu radiochemioterapii uwzględniającym uwrażliwienie - Autorzy:
-
Bajger, Piotr
Fujarewicz, Krzysztof
Świerniak, Andrzej - Powiązania:
- https://bibliotekanauki.pl/articles/953411.pdf
- Data publikacji:
- 2019
- Wydawca:
- Polskie Towarzystwo Matematyczne
- Tematy:
-
radiochemotherapy
optimal control
survival curves
radiosensilisation - Opis:
- 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.
- Źródło:
-
Mathematica Applicanda; 2019, 47, 1
1730-2668
2299-4009 - Pojawia się w:
- Mathematica Applicanda
- Dostawca treści:
- Biblioteka Nauki
Artykuł