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An analytical and numerical approach to chemo-radiotherapy model for the treatment of brain tumor

  • S. Sujitha,
  • T. Jayakumar,
  • D. Maheskumar,
  • E. Vargees Kaviyan

摘要

Chemotherapy is a standard cancer treatment that can be provided alone or with other therapies. Recent research has revealed that combined therapy can successfully remove malignancies when chemotherapy alone cannot. A six-compartmental nonlinear mathematical model is proposed for treating brain tumors based on glial cells, sensitive glioma cells, resistant glioma cells, and neurons with chemo-radiotherapy treatment. Nonlinear differential equations can be analytically solved by variation of constant parameter formula. The system’s stability analysis is discussed across different treatment categories. Numerical simulation results for the suggested model, considering various treatment procedures, help to understand the therapy’s effect. Finally, the validity of the system is verified through a comparison of the analytical technique and numerical simulation.