Uncertainty quantification for a model of HIV-1 patient response to antiretroviral therapy interruptions

We consider a model for in-host HIV-1 infection dynamics developed and validated with patient data in earlier work [1]. We revisit the earlier model in light of progress over the last several years in understanding of HIV-1 progression in humans. We then consider statistical models to describe the data and use these with residual plots in weighted least squares problems to develop accurate descriptions of the proper weights for the data. Bootstrapping is then used to develop confidence intervals for the resulting parameter estimates and establish absence of correlation in the estimated parameters.