Interaction of Virus in Cancer Patients: A Theoretical Dynamic Model.
Veli B ShakhmurovMuhammet KurulayAida SahmurovaMustafa Can GursesliAntonio LanatàPublished in: Bioengineering (Basel, Switzerland) (2023)
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.
Keyphrases
- induced apoptosis
- cell cycle arrest
- immune response
- endoplasmic reticulum stress
- emergency department
- cell death
- molecular dynamics
- hiv infected
- signaling pathway
- molecular dynamics simulations
- inflammatory response
- toll like receptor
- liquid chromatography
- antiretroviral therapy
- adverse drug
- solid phase extraction
- tandem mass spectrometry