On Study of Immune Response to Tumor Cells in Prey-Predator System
Author(s) -
Gurpreet Kaur,
Naseem Ahmad
Publication year - 2014
Publication title -
international scholarly research notices
Language(s) - English
Resource type - Journals
ISSN - 2356-7872
DOI - 10.1155/2014/346597
Subject(s) - generalization , immune system , tumor cells , predation , computer science , functional response , function (biology) , stability (learning theory) , predator , biology , biological system , ecology , immunology , mathematics , microbiology and biotechnology , cancer research , machine learning , mathematical analysis
This paper aims to develop the mathematical model that explores the immune response to a tumor system as a prey-predator system. A deterministic model defining the dynamics of tumor growth progression and regression has been analyzed. Our analysis indicates the tumor recurring and dormancy on the cellular level in combination with resting and hunting cells. The model considered in the present study is a generalization of El-Gohary (2008) by introducing the Michaelis-Menten function. This function describes the stimulation process of the resting cells by the tumor cells in the presence of tumor specific antigens. Local and global stability analysis have been performed along with the numerical simulation to support our findings.
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