Paper Details

Name: Baljit Singh
Country: India

Year: 2020
Volume: Volume-7, Issue-1 (January-June)
Page Number: 40-49

ABSTRACT.
Significant advancements have been achieved in understanding the complex behaviours of
tumor cells and their interactions with the immune system through theoretical, experimental,
and clinical approaches in recent years. These developments have accelerated the
development of crucial methods for treating cancer, including immunotherapy, chemotherapy,
targeted pharmacotherapy, and others. Simultaneously, significant progress has been made in
the fields of analytical and computer modeling, with the aim of understanding clinical
observations. In this paper, we introduces a tumorâĂŞimmune interaction model consisted of
tumor cells, activated T cells, and anti PD-1 drug, represented as three-dimensional Ordinary
differential equation model. We assume the tumor growth to be exponential, due to their
unrestrained growth in the absence of an immune response and drug therapy. In the absence
of drug application, the model has a tumor-free equilibrium and maximum one tumorous
equilibrium . We further discussed the stability analysis of the equilibrium and conducted
numerical simulations to validate the obtained findings.
Keywords: Tumor-immune system interaction model, Numerical approximation, Stability.