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These patterns match the predictions of our theory: concentration in the naive classes correlates with lack of antigenic variation.
Does competition primarily in the naive classes favor antigenic dominance by a single type, as our theory predicts?
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It turns out that Church's logic can interpret naive class theory and hence the system is suspiciously strong and expressive.
Despite the deficiency of CD8+ T cells in naive class I- mice, kidney allografts transplanted into class I- recipients developed significant reductions in renal blood flow and glomerular filtration rate to levels comparable to allograft controls.
Or does some other cause restrain antigenic variation and therefore restrict infections to the naive class?
In our formulation, lifespan means either death of an adult and recruitment of a newborn into the naive class, S0, or loss of immunological memory that reassigns a previously infected adult to the naive class (see Methods).
Those individuals who die are replaced with naive newborns; those individuals who lose their immunological memory also flow into the naive class, S0.
Equivalently, we may consider the influx into the naive class, S0, comprised of hosts that either die or lose their immunological memory.
If most infections occur among the naive class (small value of γ), then the effective immune memory of the host population will decay quickly, because the naive class is constantly replenished with newborns or, perhaps, with individuals who have lost immunological memory to prior infections.
The naive class, S0, often corresponds to newborns or younger individuals who have not yet been exposed to infection, whereas the classes with memory of prior exposure often correspond to older individuals who have been previously infected.
We can account for faster transmission among the naive class compared with the exposed classes by reducing the transmission of new infections to those who carry memory of past infections.
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