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A mathematical model of T lymphocyte proliferation controlled by interleukin-2 internalization.

A mathematical model of the first in vitro IL-2-controlled division cycle of T lymphocytes is presented. The model describes the population dynamics of T cells at different stages of the cell cycle and introduces "molecular" equations for the G1-S phase control. These equations are based on the current knowledge of the biochemical mechanisms of ligand-receptor binding, ligand and receptor synthesis, and internalization of the ligand-receptor complexes. The temporal order in the biosynthesis of IL-2 and IL-2R during the G1a and G1b phases is investigated. We show numerically that the maximum number of cells in the S-phase depends on the reversibility of the G1a-G1b transitions, on the rates of ligand-receptor binding, ligand and receptor synthesis, and internalization of the ligand-receptor complexes. The phase portraits for different hypotheses on the temporal order of the IL-2 and high affinity receptor synthesis at the G1 phase of the cell cycle are qualitatively different. On this basis, simple kinetic experiments to distinguish between these alternatives are proposed.