The story so far: Using Mathematics to predict HIV/AIDS dynamics

Anthony Yartel


Clinicians do not yet have a definite agreement on the course of HIV infection. However four main stages of disease progression have been identified. Initial innoculum isthe first stage and refers to when the virus is first introduced into the body. The initial transient is a relatively short period -- 2 to 10 weeks -- when there is a great flux of T cell and virus populations. Clinical latency refers to the steady state of the disease when there is a significantly large numbers of T cells and virus undergoing several dynamics. Then there is the final stage when the population of T cells nears zero and the virus grows with little or no bound. This final stage will be the focus in this paper. It is what is known to many of us as AIDS.

I'll look at current mathematical models that attempt to explain the viral/immune system dynamics. By understanding such models, one can appreciate their use in determining appropriate drug therpaies for HIV patients. Of particular interest will be the subject of combination therapy: what we have, how it works, and the potential of this form of therapy as a true cure for AIDS.



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