A Mathematical Model For Interaction Macrophages, T Lymphocytes and Cytokines at Infection of Mycobacterium tuberculosis with Age Influence

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 infection 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-? , IL-10, IFN-? and IL-12 increased. Resting macrophages tend to fall, infected macrophages tended to rise and activated macrophages fluctuate in the first 3 months.