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Combination of virotherapy and chemotherapy with optimal control for combating cancer

Author

Listed:
  • Das, Anusmita
  • Sarmah, Hemanta Kr.
  • Bhattacharya, Debashish
  • Dehingia, Kaushik
  • Hosseini, Kamyar

Abstract

The purpose of this paper is to study the behaviors shown by a modified mathematical model representing interactions between immune cells, un-infected tumor cells, infected tumor cells, and normal cells when subjected initially to chemotherapy and virotherapy alone and subsequently a combination of both. Stability analysis is carried out for all steady states in each treatment model. Conditions are derived under which recurrence of tumors can be prevented when the amount of applied drugs are reduced. Analysis of the model shows that the tumor can be eliminated with a lower dose of chemotherapy if it is combined with virotherapy. The existence of an optimal control set, and optimality of the model are discussed. The optimal control problem relative to the model is designed in a way to reduce the number of tumor cells and the amount of chemotherapeutic drugs and at the same time to increase the positive effect of virotherapy to improve the immune system, thereby causing a reduction in patient’s recovery time.

Suggested Citation

  • Das, Anusmita & Sarmah, Hemanta Kr. & Bhattacharya, Debashish & Dehingia, Kaushik & Hosseini, Kamyar, 2022. "Combination of virotherapy and chemotherapy with optimal control for combating cancer," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 460-488.
    • Handle: RePEc:eee:matcom:v:194:y:2022:i:c:p:460-488
    DOI: 10.1016/j.matcom.2021.12.004
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