A Dual-Aggressive Model of Tumor-Immune System Interactions

Authors

  • Abdulkareem Ibrahim Afolabi Mathematical Science Department, Universiti Tecknologi Malaysia Federal Polytechnic Kaura-Namoda, Zamfara State, Nigeria
  • Normah Maan Mathematical Science Department, Universiti Tecknologi Malaysia

DOI:

https://doi.org/10.3991/ijoe.v15i10.10877

Keywords:

Tumor, Immune System, Immunoediting, Immunosurveillance, Prey-Predator Model and Competitive Model

Abstract


Biomedical literature suggested that the tumor-immune system physical phenomenon usually climaxes into either tumor elimination or escape. In retort to the phenomenological mechanics of tumor-immune system interaction, researchers had used Mathematical models mostly prey-predator and competitive extensively, to model the dynamics of tumor immune system interaction. However, these models had not accounted for total elimination and, or escape of tumor as hypothesizes by immunoediting hypotheses. In this work, we propose a dual aggressive model based on the biological narration of tumor-immune system interactions. The stability analyses of tumor-negative steady state are stable if the rate at which body cells dies is less than their proliferation rate a confirmation of biological listed causes of the tumor. The tumor-positive steady state is always unstable and saddle with the likelihood of either elimination or escape of tumor. Numerical analysis validates our analytical results and provides insight into the dynamics of the benignant and malignant tumor. The immunosuppression by tumor is not only visible but also validated by both analytical and numerical analysis.

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Published

2019-06-27

How to Cite

Afolabi, A. I., & Maan, N. (2019). A Dual-Aggressive Model of Tumor-Immune System Interactions. International Journal of Online and Biomedical Engineering (iJOE), 15(10), pp. 155–161. https://doi.org/10.3991/ijoe.v15i10.10877

Issue

Section

Short Papers