Expansion and contraction of the cytotoxic T lymphocyte response--an optimal control approach.

The kinetics of the cytotoxic T lymphocyte (CTL) response against intracellular pathogens has been found to have many stereotypical features that appear to be programmed early in the infection. We explain these findings here in terms of CTL response kinetics that minimize the probability that a pathological symptom will occur in association with the infection and its eradication. We assume that both the infection and the CTLs contribute to this pathology. We find that contraction kinetics is influenced by the relative pathogenicities of infection and CTLs, as well as on the virulence of the infection and the efficiency of the CTLs, but not by the magnitude of expansion or the dose and duration of infection. Our analysis explains the finding that the duration of the CTL expansion is highly stereotypical, with the maximum expansion of the CTL response dependent on the dose of the infection. Finally, we show that the stereotypical nature of CTL kinetics relies upon stringent regulation of the rates at which CTLs proliferate and die.