Max-Planck-Institut für Gravitationsphysik
Albert-Einstein-Institut
Am Mühlenberg 1, 14476 Potsdam, Germany
email: rendall@aei.mpg.de
Alan D. Rendall
Abstract:
The aim of this article is to carry out a mathematical analysis
of a system of ordinary differential equations introduced by
Lev Bar-Or to model the interactions between T cells and
macrophages. Under certain restrictions on the parameters of
the model, theorems are proved about the number of stationary
solutions and their stability. In some cases the existence of
periodic solutions or heteroclinic cycles is ruled out.
Evidence is presented that the same biological phenomena could
be equally well described by a simpler model.
Submitted August 5, 2010. Published August 19, 2010.
Math Subject Classifications: 37N25, 92C37.
Key Words: Dynamical systems; qualitative behaviour; immunology.
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Alan D. Rendall Max-Planck-Institut für Gravitationsphysik Albert-Einstein-Institut Am Mühlenberg 1, 14476 Potsdam, Germany email: rendall@aei.mpg.de |
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