A Dual-Aggressive Model of Tumor-Immune System Interactions

International journal of online engineering

Normah Maan¹  Abdulkareem Ibrahim Afolabi² 

[1] Mathematical Science Department, Universiti Tecknologi Malaysia;Mathematical Science Department, Universiti Tecknologi MalaysiaFederal Polytechnic Kaura-Namoda, Zamfara State, Nigeria

关键词: Tumor;    Immune System;    Immunoediting;    Immunosurveillance;    Prey-Predator Model and Competitive Model;   

DOI  :  

学科分类：社会科学、人文和艺术（综合）

来源: International Association of Online Engineering

【 摘 要 】

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.

【 授权许可】

Unknown