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(a = alpha) et al. (1) estimated an average diversity 9 * 10⁵ different b chains and 4. 5 * 10⁵ different a chains in the human nai¨ve T repertoire. To calculate the total T cell diversity, the b-chain diversity was within a certain variable (V) gene, Va12^+, comprising 2. 5% of the total -chain repertoire. Finding in this particular an estimated total of 6 * 105 different ß chains (i. e. , two-thirds of the total ß-chain), Arstila et al. suggested that the T cell receptor (TCR) diversity comprises least (6 * 105) * 40 = 2. 4 * 10⁷ aß combinations (1). The authors that this is only a lower bound, the calculation assumes that the ß that do bind at least one Va12 chain only one of the 4. 5 * 10⁵ different a in the Va12^+ family. If each ß chain within the Va12^+ family were to bind average of n different Va12 chains instead, total estimated TCR diversity would be -fold higher than this lower bound.
Keşmir et al. (2000) studied this question.