Burroughs, Nigel John, Ferreira, M. (Miguel), Oliveira, Bruno M. P. M. and Pinto, Alberto Adrego. (2011) A transcritical bifurcation in an immune response model. Journal of Difference Equations and Applications, Vol.17 (No.7). pp. 1101-1106. ISSN 1023-6198

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Abstract

The consequences of regulatory T cell (Treg) inhibition of interleukine 2 secretion are examined by mathematical modelling. We find a transcritical bifurcation that might explain two alternative scenarios: in one case the appearance of autoimmune responses and in another the suppression of the immune response.

Item Type:	Journal Article
Subjects:	Q Science > QA Mathematics Q Science > QR Microbiology > QR180 Immunology
Divisions:	Faculty of Science > Mathematics Faculty of Science > Centre for Systems Biology
Library of Congress Subject Headings (LCSH):	T cells, Immune response -- Mathematical models, Bifurcation theory, T cells -- Receptors, Immune response -- Regulation
Journal or Publication Title:	Journal of Difference Equations and Applications
Publisher:	Taylor & Francis Inc.
ISSN:	1023-6198
Date:	2011
Volume:	Vol.17
Number:	No.7
Page Range:	pp. 1101-1106
Identification Number:	10.1080/10236190903095291
Status:	Peer Reviewed
Publication Status:	Published
Funder:	Fundação para a Ciência e a Tecnologia (FCT), Portugal. Ministério da Ciência, Tecnologia e Ensino Superior (MCTES), Fundação Calouste Gulbenkian (FCG), Universidade do Minho (UdM), Universidade do Porto (UP)
References:	[1] N.J. Burroughs, M. Ferreira, B.M.P.M. Oliveira, and A.A. Pinto, Autoimmunity arising from bystander proliferation of T cells in an immune response model, Math. Comput. Model. (2010a), (to appear) pp. 1–5. [2] N.J. Burroughs, B.M.P.M. Oliveira, A.A. Pinto, and M. Ferreira, Immune response Dynamics. Math. Comput. Model. (2010b), (to appear) pp. 1–10. [3] N.J. Burroughs, B.M.P.M. Oliveira, and A.A. Pinto, Regulatory T cell adjustment of quorum growth thresholds and the control of local immune responses, J. Theor. Biol. 241 (2006), pp. 134–141. [4] R.J. de Boer and P. Hogeweg, Immunological discrimination between self and non-self by precursor depletion and memory accumulation, J. Theor. Biol. 124 (1987), p. 343. [5] C.-S. Hsieh, Y. Liang, A.J. Tyznik, S.G. Self, D. Liggitt, and A.Y. Rudensky, Recognition of the peripheral self by naturally arising CD25þ CD4þ T cell receptors, Immunity 21 (2004), pp. 267–277. [6] A.R. McLean, Modelling T cell memory, J. Theor. Biol. 170 (1994), pp. 63–74. [7] P.R. Rogers, C. Dubey, and S.L. Swain, Qualitative changes accompany memory T cell generation: Faster, more effective responses at lower doses of antigen, J. Immunol. (Baltimore, MD: 1950) 164(5) (2000), pp. 2338–2346. [8] S. Sakaguchi, Naturally arising CD4þ regulatory T cells for immunological self-tolerance and negative control of immune responses, Annu. Rev. Immunol. 22 (2004), pp. 531–562. [9] E.M. Shevach, R.S. McHugh, C.A. Piccirillo, and A.M. Thornton, Control of T-cell activation by CD4(þ) CD25(þ) suppressor T cells, Immunol. Rev. 182 (2001), pp. 58–67. [10] A.M. Thornton and E.M. Shevach, CD4þCD25þ immunoregulatory T cells suppress polyclonal T cell activation in vitro by inhibiting interleukine 2 production, J. Exp. Med. 188(2) (1998), pp. 287–296. 1106 N.J. Burroughs et al. Downloaded
URI:	http://wrap.warwick.ac.uk/id/eprint/38595

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