1. Global dynamics of a tumor-immune model with an immune checkpoint inhibitor.
- Author
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He, Fangfang, zhu, Huiyan, Lin, Jinzhang, and Ou, Yingchen
- Subjects
- *
PROGRAMMED cell death 1 receptors , *IMMUNE checkpoint inhibitors , *CELL populations , *CELL death , *T cells , *PROGRAMMED death-ligand 1 - Abstract
In this paper, a mathematical ordinary differential tumor-immune model is proposed based on an immune checkpoint inhibitor, which is an innovative method for tumor immunotherapies. Two important factors in tumor-immune response are the programmed cell death protein 1 (PD-1) and its ligand PD-L1. The model consists of three populations: tumor cells, activated T cells and anti-PD-1. By analyzing the dynamics of the model, it is found that there is always a unique tumor-free equilibrium and at most two tumor interior equilibria. The nonexistence of nontrivial positive periodic orbits is established by using the new Dulac function, and then a global dynamics of the model is obtained. The conclusions of our analysis show that increasing the possibility of T cells killing tumor cells (p), early detection of tumor cells, or the use of PD-1 inhibitors to activate T cells are effective in eliminating tumor cells. [ABSTRACT FROM AUTHOR]
- Published
- 2024
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