Comput Math Methods Med - Immune response to a variable pathogen: a stochastic model with two interlocked Darwinian entities.

Tópicos

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Resumo

This paper presents the modeling of a host immune system, more precisely the immune effector cell and immune memory cell population, and its interaction with an invading pathogen population. It will tackle two issues of interest; on the one hand, in defining a stochastic model accounting for the inherent nature of organisms in population dynamics, namely multiplication with mutation and selection; on the other hand, in providing a description of pathogens that may vary their antigens through mutations during infection of the host. Unlike most of the literature, which models the dynamics with first-order differential equations, this paper proposes a Galton-Watson type branching process to describe stochastically by whole distributions the population dynamics of pathogens and immune cells. In the first model case, the pathogen of a given type is either eradicated or shows oscillatory chronic response. In the second model case, the pathogen shows variational behavior changing its antigen resulting in a prolonged immune reaction.

Resumo Limpo

paper present model host immun system precis immun effector cell immun memori cell popul interact invad pathogen popul will tackl two issu interest one hand defin stochast model account inher natur organ popul dynam name multipl mutat select hand provid descript pathogen may vari antigen mutat infect host unlik literatur model dynam firstord differenti equat paper propos galtonwatson type branch process describ stochast whole distribut popul dynam pathogen immun cell first model case pathogen given type either erad show oscillatori chronic respons second model case pathogen show variat behavior chang antigen result prolong immun reaction

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