Analysis of a mathematical model for interactions between T cells and 
macrophages

Rendall, Alan D.

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Analysis of a mathematical model for interactions between T cells and macrophages

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Rendall, Alan D.
Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1006.2527
(Preprint), 130KB

ejde_115_1_rendall.pdf
(Any fulltext), 196KB

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Citation

Rendall, A. D. (2010). Analysis of a mathematical model for interactions between T cells and macrophages. Electronic journal of differential equations, 2010: 115, pp. 1-10. Retrieved from http://arxiv.org/abs/1006.2527.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0012-C62A-C

Abstract

The aim of this paper is to carry out a mathematical analysis of a system of ordinary differential equations introduced by R. 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.