The Library

A transcritical bifurcation in an immune response model

Tools

Burroughs, Nigel John, Ferreira, M. (Miguel), Oliveira, Bruno M. P. M. and Pinto, Alberto A.. (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

Full text not available from this repository.

Official URL: http://dx.doi.org/10.1080/10236190903095291

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

Official Date:

2011

Dates:

Date	Event
2011	Published

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