2008
DOI: 10.1007/s00285-008-0191-1
|View full text |Cite
|
Sign up to set email alerts
|

How T-cells use large deviations to recognize foreign antigens

Abstract: 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 [18], 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 ran… Show more

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...
2
1
1
1

Citation Types

1
22
0

Year Published

2009
2009
2018
2018

Publication Types

Select...
5
1

Relationship

0
6

Authors

Journals

citations
Cited by 9 publications
(23 citation statements)
references
References 24 publications
1
22
0
Order By: Relevance
“…Earlier attempts have considered probabilistic models of encounters aiming at distinguishing self from not-self, exploiting proofreading to detect long tails in detection events (23). Detection of mixture of ligands is a more challenging problem, which has so far only been considered in refs.…”
Section: Discussionmentioning
confidence: 99%
“…Earlier attempts have considered probabilistic models of encounters aiming at distinguishing self from not-self, exploiting proofreading to detect long tails in detection events (23). Detection of mixture of ligands is a more challenging problem, which has so far only been considered in refs.…”
Section: Discussionmentioning
confidence: 99%
“…The graph of this function (P(w i j > ω) in dependence of ω), called the "activation curve," is a visual representation of the degeneracy of the TCR clonotype at hand. It has previously been established how P(w i j > ω) can be calculated as a function of ω by combining three key ingredients: (i) the kinetics; (ii) the triggering probability; and (iii) a distribution for the TCR/pMHCI dissociation rate 8,31,33,34 . Appendix B and Fig.…”
Section: Characterisation Of Tcr Degeneracymentioning
confidence: 99%
“…Computational models of broader scope have helped to interpret how CTL killing depends on cell density within lymph nodes (12,13). Stochastic models have helped to formulate a probabilistic treatment of T-cell activation in terms of the APP: for instance, (14) modelled the idea that infections are detected when the sum of the stimuli received by a T-cell from the interactions between its TCR and the pMHCs on the APC, exceeds a given threshold. The ability of T-cells of distinguishing between self and non-self is a consequence of a higher copy number of foreign peptides in comparison with self on the APC surface (probabilistic recognition).…”
Section: Introductionmentioning
confidence: 99%