AI Article Synopsis
- The study analyzes a mathematical model of tumor growth that includes interactions among uninfected cells, infected cells, immune cells, and viruses using phase-space analysis.
- It explores the stability of the system and derives models for all endemic equilibrium points, focusing on the stability behavior and attraction ranges of these nonlinear systems.
- The research concludes with a simulation that illustrates the relationship between cancer cells and other components in the system, validating the model's findings on disease-free and endemic equilibria.
Article Abstract
This study reports on a phase-space analysis of a mathematical model of tumor growth with the interaction between virus and immune response. In this study, a mathematical determination was attempted to demonstrate the relationship between uninfected cells, infected cells, effector immune cells, and free viruses using a dynamic model. We revealed the stability analysis of the system and the Lyapunov stability of the equilibrium points. Moreover, all endemic equilibrium point models are derived. We investigated the stability behavior and the range of attraction sets of the nonlinear systems concerning our model. Furthermore, a global stability analysis is proved either in the construction of a Lyapunov function showing the validity of the concerned disease-free equilibria or in endemic equilibria discussed by the model. Finally, a simulated solution is achieved and the relationship between cancer cells and other cells is drawn.
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| http://www.ncbi.nlm.nih.gov/pmc/articles/PMC9952378 | PMC |
| http://dx.doi.org/10.3390/bioengineering10020224 | DOI Listing |
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