Biology – Quantitative Biology – Subcellular Processes
Scientific paper
2006-05-11
J. Math. Biol. 57 (2008), 841-861
Biology
Quantitative Biology
Subcellular Processes
16 pages, 6 figures; minor revision, new simulations; J Math Biol., in press
Scientific paper
A stochastic model for the activation of T-cells is analysed. T-cells are part of the immune system and recognize foreign antigens against a background of the body's own molecules. The model under consideration is a slight generalization of a model introduced by Van den Berg, Rand and Burroughs in 2001, and is capable of explaining how this recognition works on the basis of rare stochastic events. With the help of a refined large deviation theorem and numerical evaluation it is shown that, for a wide range of parameters, T-cells can distinguish reliably between foreign antigens and self-antigens.
Baake Ellen
Hollander Frank den
Zint Natali
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