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

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-C62A-C Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0012-C62D-6
Genre: Journal Article

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1006.2527 (Preprint), 130KB
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 Creators:
Rendall, Alan D.1, Author           
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1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Quantitative Biology, Cell Behavior, q-bio.CB
 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.

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 Dates: 2010-06-132010
 Publication Status: Issued
 Pages: 11 pages
 Publishing info: -
 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1006.2527
URI: http://arxiv.org/abs/1006.2527
 Degree: -

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Title: Electronic journal of differential equations
Source Genre: Journal
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Publ. Info: [San Marcos, Tex. : Published jointly by Southwest Texas State University and the University of North Texas
Pages: - Volume / Issue: 2010 Sequence Number: 115 Start / End Page: 1 - 10 Identifier: Other: 954926402639
Other: 1072-6691
CoNE: https://pure.mpg.de/cone/journals/resource/954926402639