Viability Control of Chemo-Immunotherapy and Radiotherapy by Set-Valued Analysis

Year 2023, Volume: 6 Issue: 1, 40 - 56, 16.06.2023

Amine Moustafid

https://doi.org/10.53508/ijiam.1211906

Cited By: 2

Abstract

In this paper we set-valued analyze the problem of asymptotic stabilizing the tumor size. A mathematical model of exponential tumor growing caused by carcinogenic substance is considered, with chemotherapy, immunotherapy, and radiotherapy effects. We control the model to be viable in therapeutic domains, and reverse the exponential growing of the tumor size. The obtained controls derive from the derivative cone of therapeutic domains as solution of minimizing problem.

Keywords

chemotherapy, immunotherapy, radiotherapy, anti-angiogenic therapy, virotherapy, viability theory, set-valued analysis, tube, exponential stability, contingent derivative, contingent cone, differential equations

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