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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. ISSN 0001-5342
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Official URL: http://dx.doi.org/10.1007/s10441-010-9117-6
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 > Mathematics Faculty of Science > Centre for Systems Biology |
| Journal or Publication Title: | Acta Biotheoretica |
| Publisher: | Springer |
| ISSN: | 0001-5342 |
| Date: | December 2010 |
| Volume: | Vol.58 |
| Number: | No.4 |
| Number of Pages: | 14 |
| Page Range: | pp. 391-404 |
| Identification Number: | 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 |
| URI: | http://wrap.warwick.ac.uk/id/eprint/4817 |
Data sourced from Thomson Reuters' Web of Knowledge
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