Mathematical Biology Seminar: Alan Perelson (Los Alamos)

I will provide an overview of recent modeling work on acute HIV infection stimulated by new experimental findings. I will discuss new deterministic models that incorporate a time-varying infectivity parameter. I will also discuss stochastic models of early infection and show how one can compute the probability of the infection going extinct. Alternatively, when the infection "takes" the model allows one to compute the delay from time virus enters to the time of appearance of detectable viremia. Unlike deterministic (ODE) models the stochastic model has different formulations depending upon whether virus production occurs continuously or if it occurs in a burst at the end of an infected cell's lifespan. Both will be dicussed.