Set-valued analysis of anti-angiogenic therapy and radiotherapy

Authors

DOI:

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

Keywords:

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

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.

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Published

2022-09-29
CITATION METRICS
DOI: 10.53391/mmnsa.2022.015

How to Cite

Moustafid, A. (2022). Set-valued analysis of anti-angiogenic therapy and radiotherapy. Mathematical Modelling and Numerical Simulation With Applications, 2(3), 187–196. https://doi.org/10.53391/mmnsa.2022.015

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Research Articles