Viral infection with HTLV-I -- Immune response and development of ATL

COBIAGA, ROMINA; REARTES, WALTER

CABA

Workshop; Workshop Internacional Programa RAÍCES, Red de Científicos Argentinos en el Noreste de EE.UU, ?La matemática como herramienta para entender la biología / La biología como fuente de problemas matemáticos?; 2015

Ministerio de Ciencia Tecnología e Innovación Productiva, FCEyN UBA, Instituto de Cálculo

We propose a mathematical model to describe the infection with human T-cell lymphotropic virus type I (HTLV-I). Immune response and the possible development of adult T-cell leukemia (ATL) are considered. This model is formulated by a set of six nonlinear ordinary differential equations, one for each of the different cell types involved. We study the equilibria and calculate the basic reproduction number R 0 . Solutions converging to the equilibrium and oscillatory solutions are also studied.Approximate expressions for them are obtained by the multistage homotopic analysis method (MSHAM) and compared with numerical solutions. Finally, we analyze a modification of the model to take into account the saturation effect on the growth of cytotoxic lymphocytes.