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

Authors : Amine MOUSTAFİD

Pages : 40-56

Doi:10.53508/ijiam.1211906

View : 33 | Download : 36

Publication Date : 2023-06-16

Article Type : Research Paper

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, ordinary differential equations, partial differential equations, fractional differential equations, delayed differential equations, viability theory, set valued analysis, tube, exponenti