Pinto, A. A., Burroughs, Nigel John, Ferreira, M. and Oliveira, B. M. P. M. (2010) Dynamics of immunological models. Acta Biotheoretica, Vol.58 (No.4). pp. 391-404. doi:10.1007/s10441-010-9117-6 ISSN 0001-5342.

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Abstract

We analyse the effect of the regulatory T cells (Tregs) in the local control of the immune responses by T cells. We obtain an explicit formula for the level of antigenic stimulation of T cells as a function of the concentration of T cells and the parameters of the model. The relation between the concentration of the T cells and the antigenic stimulation of T cells is an hysteresis, that is unfold for some parameter values. We study the appearance of autoimmunity from cross-reactivity between a pathogen and a self antigen or from bystander proliferation. We also study an asymmetry in the death rates. With this asymmetry we show that the antigenic stimulation of the Tregs is able to control locally the population size of Tregs. Other effects of this asymmetry are a faster immune response and an improvement in the simulations of the bystander proliferation. The rate of variation of the levels of antigenic stimulation determines if the outcome is an immune response or if Tregs are able to maintain control due to the presence of a transcritical bifurcation for some tuning between the antigenic stimuli of T cells and Tregs. This behavior is explained by the presence of a transcritical bifurcation.

Item Type:	Journal Article
Subjects:	Q Science > QH Natural history > QH301 Biology
Divisions:	Faculty of Science, Engineering and Medicine > Science > Mathematics Faculty of Science, Engineering and Medicine > Research Centres > Warwick Systems Biology Centre
Journal or Publication Title:	Acta Biotheoretica
Publisher:	Springer
ISSN:	0001-5342
Official Date:	December 2010
Dates:	Date Event December 2010 Published
Volume:	Vol.58
Number:	No.4
Number of Pages:	14
Page Range:	pp. 391-404
DOI:	10.1007/s10441-010-9117-6
Status:	Peer Reviewed
Publication Status:	Published
Access rights to Published version:	Restricted or Subscription Access
Funder:	LIAAD-INESC Porto LA, Calouste Gulbenkian Foundation, FCT, Ministerio da Ciencia e da Tecnologia, Research Center of Mathematics of University of Minho, PRODYN-ESF, POCTI
Grant number:	SFRH/BD/27706/2006

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