Optimal control for a combination of cancer therapies in a model of cell competition - Université Côte d'Azur
Conference Papers Year : 2024

Optimal control for a combination of cancer therapies in a model of cell competition

Abstract

We present a simple mathematical model of ordinary differential equations that describes the interaction between a healthy cell population and cancerous cell population. This model includes the effects on cell populations of chemotherapy and targeted therapy, which are two bounded control variables. We study this model and seek to optimize the fraction of healthy cells within the total cell population over a given therapy period. We apply the Pontryagin Maximum Principle (PMP) and establish the expressions of singular solutions in different interaction cases between healthy and cancer cells. Then, we use a direct optimization method to validate and illustrate our theoretical results.
Fichier principal
Vignette du fichier
CDC24_1234_FI.pdf (1.71 Mo) Télécharger le fichier
Origin Files produced by the author(s)

Dates and versions

hal-04721156 , version 1 (04-10-2024)

Identifiers

  • HAL Id : hal-04721156 , version 1

Cite

Pauline Mazel, Walid Djema, Frédéric Grognard. Optimal control for a combination of cancer therapies in a model of cell competition. CDC 2024 - 63rd IEEE Conference on Decision and Control, IEEE Control Systems Society, Dec 2024, Milan, Italy. ⟨hal-04721156⟩
135 View
34 Download

Share

More