Stability and multiphase dynamics of a Michaelis–Menten tumor immune model with radiation matter interaction support

Sahmurova A., Ozdogan H., ŞAHMUROV V.

Radiation Physics and Chemistry, vol.249, 2026 (SCI-Expanded, Scopus)

  • Publication Type: Article / Article
  • Volume: 249
  • Publication Date: 2026
  • Doi Number: 10.1016/j.radphyschem.2026.114196
  • Journal Name: Radiation Physics and Chemistry
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Chemical Abstracts Core, Chimica, Compendex, EMBASE, INSPEC, Academic Search Ultimate (EBSCO), Engineering Source (EBSCO)
  • Keywords: Cancer tumor model, Equilibrium point, Immune system, Mathematical modeling, Monte Carlo simulation, Radiation interaction parameters, Stability of dynamical systems
  • Azerbaijan State University of Economics (UNEC) Affiliated: Yes

Abstract

Here, we investigate Michaelis–Menten type dynamics of phase-space analysis to a mathematical model of tumor growth with an immune responses. Because tumor cells begin as itself the immune system may not respond in an effective way to eradicate them. Adoptive cellular immunotherapy can potentially restore or enhance these effects. We illustrate through mathematical modeling the dynamics between tumor cells, immune-effector cells, and IL-2. We then explore the effects of adaptive cellular immunotherapy on the model and describe under what circumstances the tumor can be eliminated. We show that the solutions of the model with a time-varying drug term approach can be evaluated by a more fruitful way in down to earth style. This is the solutions of the system without drug treatment, in the condition of stimulated immune processes. Mathematical analysis of the Michaelis–Menten type equations, regarding to nature of equilibria, local and global stability, Monte Carlo simulation and Radiation interaction parameters have been investigated. We studied some features of behavior of one of three-dimensional tumor growth models with dynamics described in terms of densities of three cells populations: tumor cells, healthy host cells and effector immune cells. Here, cases of the small tumor mass and healthy equilibrium points have been examined. Biological implications of our results are discussed.