A Cancer Model Including Tumor Angiogenesis Agents
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Abstract
Vascular tumor growth is a dangerous stage of cancer diseases. The growth of solid tumors beyond the critical size does indeed depend on angiogenesis. The angiogenesis process causes metastasis which leads to tumor migration. In this paper, a cancer model considering the role of tumor angiogenesis agents is developed to highlight better these chemical substances in the trend of vascular tumor growth. The proposed model comprises four variables: endothelial cells, tumor angiogenesis agents, tumor cells, and effector immune cells. This paper investigates the avascular and vascular stages of tumor growth with the chaotic analysis of the model dynamics. The results show that the proposed model with the existence of tumor angiogenesis agents could capture the states of tumor growth and angiogenesis. It is also shown that the tumor-secreted inhibitor factors are necessary to regulate the angiogenesis; however, an increase of inhibitor factors would be effective in the termination of vascularization.