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The impact of multiple T cell - APC encounters and the role of anergy

Publication ,  Journal Article
Chan, C; Stark, J; George, AJT
Published in: Journal of Computational and Applied Mathematics
December 1, 2005

The activation of a T cell is a stochastic process, and depends on the integrated strength of signals 1 and 2 resulting from its encounter with an antigen presenting cell. The net outcome of thymic selection and peripheral circulation over many such encounters in the presence of mechanisms for both central and peripheral tolerance is difficult to deduce by intuition alone. We therefore introduce a simple mathematical model that allows us to explore the roles and interaction of different thresholds, costimulation and anergy, as well as make predictions about expected immune system behaviour. We show that stochastic activation in the context of repeated encounters results in lowering the apparent activation threshold for T cells. This effect may contribute significantly to the efficiency of negative selection, although a low avidity subset of auto-reactive thymocytes can still be exported. A simple peripheral mechanism for peripheral tolerance is shown to be highly effective at dealing with this low avidity subset. Finally, the trade-offs between sensitivity and specificity are examined. © 2005 Elsevier B.V. All rights reserved.

Duke Scholars

Published In

Journal of Computational and Applied Mathematics

DOI

ISSN

0377-0427

Publication Date

December 1, 2005

Volume

184

Issue

1

Start / End Page

101 / 120

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 4613 Theory of computation
  • 0906 Electrical and Electronic Engineering
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics
 

Citation

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Chan, C., Stark, J., & George, A. J. T. (2005). The impact of multiple T cell - APC encounters and the role of anergy. Journal of Computational and Applied Mathematics, 184(1), 101–120. https://doi.org/10.1016/j.cam.2004.07.036
Chan, C., J. Stark, and A. J. T. George. “The impact of multiple T cell - APC encounters and the role of anergy.” Journal of Computational and Applied Mathematics 184, no. 1 (December 1, 2005): 101–20. https://doi.org/10.1016/j.cam.2004.07.036.
Chan C, Stark J, George AJT. The impact of multiple T cell - APC encounters and the role of anergy. Journal of Computational and Applied Mathematics. 2005 Dec 1;184(1):101–20.
Chan, C., et al. “The impact of multiple T cell - APC encounters and the role of anergy.” Journal of Computational and Applied Mathematics, vol. 184, no. 1, Dec. 2005, pp. 101–20. Scopus, doi:10.1016/j.cam.2004.07.036.
Chan C, Stark J, George AJT. The impact of multiple T cell - APC encounters and the role of anergy. Journal of Computational and Applied Mathematics. 2005 Dec 1;184(1):101–120.
Journal cover image

Published In

Journal of Computational and Applied Mathematics

DOI

ISSN

0377-0427

Publication Date

December 1, 2005

Volume

184

Issue

1

Start / End Page

101 / 120

Related Subject Headings

  • Numerical & Computational Mathematics
  • 4903 Numerical and computational mathematics
  • 4901 Applied mathematics
  • 4613 Theory of computation
  • 0906 Electrical and Electronic Engineering
  • 0103 Numerical and Computational Mathematics
  • 0102 Applied Mathematics