A mathematical model for interaction macrophages, T Lymphocytes and Cytokines at infection of mycobacterium tuberculosis with age influence

Pagalay, Usman (2014) A mathematical model for interaction macrophages, T Lymphocytes and Cytokines at infection of mycobacterium tuberculosis with age influence. International Journal of Science and Technology, 3 (3). pp. 5-14. ISSN 2252-5297

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Abstract

Tuberculosis (TB) is still a health problem in the world, because of the increasing prevalence and treatment outcomes are less satisfactory. This is presumably due to a complete lack of understanding of the role of the immune system to infecti on Mycobacterium tuberculosis (Mtb). Currently it is known that the immune response plays a role in controlling the development of the germ cells are macrophages, T lymphocytes and cytokines. This study has made a mathematical model of the interaction between macrophages, T lymphocytes and cytokines with Mtb infection in the lungs. Effect of age was observed through disparate data, young (3 months) and old (18 months). Runge Kutta method order-4 is used to solve the system of non-linear differential equations of the first order. Growth of bacteria (extracellular and intracellular) tends to increase up to 3 months, either in old mice and young mice. Behavior of T cells dropped drastically. Concentration of IL-2 and IL-4 is likely to increase at the beginning of infection, TNF-a , IL-10, IFN-g and IL-12 increased. Resting macrophages tend to fall, infected macrophages tended to rise and activated macrophages fluctuate in the first 3 months.

Item Type:	Journal Article
Keywords:	mathematical models; Mycobacterium tuberculosis; macrophages; T lymphocytes; cytokines
Subjects:	01 MATHEMATICAL SCIENCES > 0102 Applied Mathematics > 010202 Biological Mathematics
Divisions:	Faculty of Mathematics and Sciences > Department of Mathematics
Depositing User:	Usman Pagalay
Date Deposited:	10 Aug 2017 11:53

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