期刊
INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
卷 32, 期 6, 页码 -出版社
WORLD SCIENTIFIC PUBL CO PTE LTD
DOI: 10.1142/S0218127422300142
关键词
Cancer tumour; immunoediting; collateral effect; bifurcation; limit cycle
This article investigates the dynamics of cancer using a coupled system of three nonlinear ordinary differential equations. The study examines the evolution of the cancer tumor and determines the values of the immune cell activation parameter that cause changes in this evolution. The analysis reveals the range of immune cell activation that leads to tumor escape, tumor latency, or oscillatory behavior.
This article investigates the dynamics of cancer through a coupled system of three nonlinear ordinary differential equations. The evolution of the cancer tumour is examined under the variation of the immune cell activation parameter, and the study determines the values of this parameter that cause changes in the dynamics of this evolution; these changes are a consequence of two transcritical bifurcations and a supercritical Hopf bifurcation that exist in the system. These results reveal the range of immune cell activation for which tumour escape or tumour latency, or oscillatory behavior due to the appearance of limit cycles, is achieved. In addition, an optimal value is distinguished for which a minimum number of active immune response cells is sufficient to bring the tumour to a latent state.
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