Before revision:  Using a mean-field approximation to the solution of a regulated birth-death-immigration model  , we systematically quantify how TCR-dependent heterogeneities in immigration and proliferation rates affect the shape of clone abundance distributions (the number of different clones that are represented by a specific number of cells  ).
After revision:  Using a mean-field approximation to the solution of a regulated birth-death-immigration model and a modification arising from sampling , we systematically quantify how TCR-dependent heterogeneities in immigration and proliferation rates affect the shape of clone abundance distributions (the number of different clones that are represented by a specific number of cells ).