We present computer simulations of the HIV infection based on a
sophisticated cellular automata model of the immune response. The
infection progresses following the well known three-phases dynamics
observed in patients, that is, acute, silent and acquired
immunodeficiency. Antigenic shift and selection of escape viral
mutants with low transcription rate explain the long-term course of
the asymptomatic phase, while the immunodeficiency status appears to
be the consequence of a drastic reduction in T helper cell
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