Set-valued analysis of anti-angiogenic therapy and radiotherapy

Year 2022, , 187 - 196, 30.09.2022

Amine Moustafid

https://doi.org/10.53391/mmnsa.2022.015

Cited By: 3

Abstract

The aim of the paper is to study a cancer model based on anti-angiogenic therapy and radiotherapy. A set-valued analysis is carried out to control the tumor and carrying capacity of the vasculature, so in order to reverse tumor growth and augment tumor repair. The viability technique is used on an augmented model to solve the control problem. Obtained control is a selection of set-valued map of regulation and reduces tumor volume to around zero. A numerical simulation scheme with graphical representations and biological interpretations are given.

Keywords

Anti-angiogenic therapy, radiotherapy, viability theory, set-valued analysis

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