Stochastic niche structure and diversity maintenance in the T cell repertoire.

The reliability of the immune response to pathogenic challenge depends critically on the size and diversity of the T cell repertoire. We study naïve T cell repertoire diversity maintenance by a stochastic model that incorporates the concept of competition between T cells for survival stimuli emanating from self-antigen presenting cells (APCs). In the mean field approximation we show that clonotype extinction is certain and compute mean extinction times. We introduce the concept of mean niche overlap and show that clones with a mean niche overlap greater than one have a short repertoire lifespan. This selection differential induces minimal recognition commonality between T cell receptors (TCRs) resulting in a diverse T cell repertoire.