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http://dx.doi.org/10.7858/eamj.2016.014

A MATHEMATICAL MODEL OF IMMUNE-MEDIATED DISORDER IN INFLAMMATORY BOWEL DISEASE  

Park, Anna (Department of Mathematics, Pusan National University)
Jung, Il Hyo (Department of Mathematics, Pusan National University)
Publication Information
East Asian mathematical journal / v.32, no.1, 2016 , pp. 139-152 More about this Journal
Abstract
Inflammatory Bowel Disease(IBD) is chronic, relapsing, immune mediated disorder. The exact cause of IBD is still unknown. The immune system is known to play important role in the dynamics of IBD. We focus on relation between T cells and cytokines in immune system that leads to IBD. In this paper, we propose a mathematical model describing IBD under considering immune mediated disorder by using ordinary differential equations. The existence and stability of the model are established, where an applicable basin of attraction are calculated and examined. Some numerical simulations are presented to verify the proposed results and as changing parameter values given by sensitivity analysis, we show how to change dynamic behaviors of the model.
Keywords
IBD model; Immune system; Stability; Sensitivity; Numerical simulation;
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