Combined Therapeutic Strategies for Cancer: Integrating Oncolytic Viruses and Inhibitors in a Mathematical Model

  • Majda El Younoussi Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco
  • Khalid Hattaf Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco; Equipe de Recherche en Mod´elisation et Enseignement des Math´ematiques (ERMEM), Centre R´egional des M´etiers de l’Education et de la Formation (CRMEF), 20340 Derb Ghalef, Casablanca, Morocco
  • Noura Yousfi Laboratory of Analysis, Modeling and Simulation (LAMS), Faculty of Sciences Ben M’Sick, Hassan II University of Casablanca, P.O Box 7955 Sidi Othman, Casablanca, Morocco
Keywords: MAPK inhibitors, stability, Hopf bifurcation, mathematical modeling, oncolytic viruses

Abstract

The greatest cause of death worldwide continues to be cancer, a complicated set of diseases characterized by uncontrolled cell development. Although early identification and therapeutic approaches have improved, the incidence of the disease is still on the rise, demanding continued study into its underlying causes and cutting-edge treatment paradigms. For creative interventions and focused medicines, the variety of cancer kinds, which are influenced by genetics, way of life, and environmental variables, poses both difficulties and opportunities. In this paper, we present a mathematical model to treat cancer with combined therapies, oncolytic viruses and Mitogen-activated protein kinase inhibitors. We demonstrate that our model is both biologically and mathematically well-posed through the existence, the non-negativity and the boundedness of solutions. Furthermore, we study the equilibrium points as well as the stability of these equilibria. Finally, we use numerical simulations to illustrate the effect of this combined therapy on tumor cells.

Published
2024-04-02