Dergiler / International Journal of Informatics and Applied Mathematics / 2023 / Cilt: 6 Sayı: 1

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

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

Amine MOUSTAFİD

Sayfa
40–56
DOI
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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.

Anahtar kelimeler: chemotherapy, immunotherapy, radiotherapy, anti-angiogenic therapy, virotherapy, ordinary differential equations, partial differential equations, fractional differential equations, delayed differential equations, viability theory, set-valued analysis, tube, exponential stability, contingent derivative, contingent cone