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Abstract: The aim of this paper is to carry out a mathematical analysis of a system ofordinary differential equations introduced by R. Lev Bar-Or to model theinteractions between T cells and macrophages. Under certain restrictions on theparameters of the model, theorems are proved about the number of stationarysolutions and their stability. In some cases the existence of periodicsolutions or heteroclinic cycles is ruled out. Evidence is presented that thesame biological phenomena could be equally well described by a simpler model.



Autor: Alan D. Rendall

Fuente: https://arxiv.org/







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