T cell positive selection by a high density, low affinity ligand

Interaction of the αβ T cell receptor (TCR) with major histocompatibility (MHC) molecules occupied with any of a large collection of peptides derived from self proteins is a critical step in driving T cell “positive” selection in the thymus. Interaction with this same pool of self-peptide/MHC ligands deletes T cells with potential self-reactivity. To examine how T cells survive both of these processes to form a self-tolerant mature repertoire, mice were constructed whose entire class II MHC IEk specific repertoire was positively selected on a single peptide covalently attached to the IEk molecule. In these mice T cells were identified that could respond to a variant of the positively selecting peptide bound to IEk. The affinities of the TCRs from these T cells for the positively selecting ligand were extremely low and at least 10-fold less than those for the activating ligand. These results support the theory that positive selection is driven by TCR affinities lower than those involved in T cell deletion or activation and that, if present at high concentration, even very low affinity ligands can positively select.

A positivity result in the theory of Macdonald polynomials

We outline here a proof that a certain rational function Cn(q, t), which has come to be known as the “q, t-Catalan,” is in fact a polynomial with positive integer coefficients. This has been an open problem since 1994. Because Cn(q, t) evaluates to the Catalan number at t = q = 1, it has also been an open problem to find a pair of statistics a, b on the collection

Positive selection and rates of evolution in immunodeficiency viruses from humans and chimpanzees.

Evolutionary theory predicts the recent spread of primate immunodeficiency viruses (PIVs) to new human populations to be accompanied by positive selection in response to new host environments and/or by random genetic drift. I assess evidence for positive selection in human and chimpanzee PIVs type I (PIV1s), using ratios of synonymous to nonsynonymous nucleotide change based on branch lengths and outgroup rooting. Ratios are smaller for PIV1s from humans than for PIV1 from a chimpanzee for the pol, gag, and env glycoprotein 120 (gp120) regions, indicating greater effects of positive selection in PIV1s from humans. Parsimony-based relative rate tests for amino acid changes showed significant differences between PIV1s from humans and chimpanzees in 18 of 48 pairwise comparisons, with all 18 showing faster rates of change in PIV1s from humans. This study indicates that in some instances, the recent evolution of human PIV1s follows a speciational pattern, in which increased diversification of taxa is correlated with greater amounts of character change appearing and being maintained through time. This extends the generality of the speciational pattern to a group of organisms (viruses) having the fastest known rates of anagenetic change for nucleotide characters and indicates that comprehensive understanding of PIV1 evolution requires consideration of both anagenetic change within viral lineages and the relative historical success of different viral clades. Phylogenetic analyses show that neither PIV1s infecting humans nor those infecting chimpanzees represent monophyletic groups and suggest multiple host-species shifts for PIV1s.