Numerical Analysis Seminars: A modelling approach to bacteria infections in invertebrate animals
24 October 2008 14:15 in CG218
The immune system of invertebrate animals, which reacts to the presence of
pathogens (bacteria, virus, fungi) consists of the equivalent to the human
innate response. The major innate immune systems include receptor cells,
which detect invaders, and phagocytic cells, such as macrophage-like,
neutrophil-like, or dendritic cells, which ultimately engulf all the
non-self cells and then internalize, process, and kill them.
Therefore, in this sense, the bacterial infections in the invertebrate
species can be described as a competition between bacteria and their
By assuming, in my mathematical modeling approach, a macroscopic point of
view, I will give a qualitative description of such a competition by means
of some different models and in particular of a pair of nonlinear
reaction-diffusion PDE's with constant coefficients.
In the system it is also considered the presence of the Quorum Sensing
(Q.S.) phenomenon. Some qualitative properties together with the linear
and non-linear stability properties of the solutions are analyzed.
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