HIV-1 eradication from infected individuals has not been achieved with the prolonged use of
highly active antiretroviral therapy (HAART). The cellular reservoir for HIV-1 in resting …

Mathematical models in epidemiology have been studied in the literature to understand the
mechanism that underlies AIDS-related cancers, providing us with a better insight towards …

Uncertainty quantification serves a central role for simulation-based analysis of physical,
engineering, and biological applications using mechanistic models. From a broad …

Exploiting the fact that standard models of within-host viral infections of target cell
populations by HIV, developed by Perelson and Nelson [SIAM Rev., 41 (1999), pp. 3--44] …

By mathematically describing early hepatitis C virus (HCV) RNA decay after initiation of
interferon (IFN)‐based antiviral therapy, crucial parameters of the in vivo viral kinetics have …

Modeling and Inverse Problems in the Presence of Uncertainty collects recent research—
including the authors' own substantial projects—on uncertainty propagation and …

We consider a two-dimensional model of cell-to-cell spread of HIV-1 in tissue cultures,
assuming that infection is spread directly from infected cells to healthy cells and neglecting …

In this paper we analyse a stochastic model representing HIV internal virus dynamics. The
stochasticity in the model is introduced by parameter perturbation which is a standard …

Although potent combination therapy is usually able to suppress plasma viral loads in HIV-1
patients to below the detection limit of conventional clinical assays, a low level of viremia …

We present an overview of some concepts and methodologies we believe useful in
modeling HIV pathogenesis. After a brief discussion of motivation for and previous efforts in …