Wednesday, October 10, 2012 at 3:00 PM in SAS 4201 Paula A. Vasquez, UNC Chapel Hill Mathematical modeling of the mucus barrier in human lungs The first line of defense of human lungs against inhaled pathogens is mucus. Inhaled viruses, bacteria and particulates land on the mucus layer and diffuse within. These foreign particles are cleared if flow of the mucus layer toward the larynx dominates particle diffusion through the layer. Yet the flow and diffusive transport properties of mucus remain very poorly understood. In this lecture I will survey the mathematical challenges in characterizing mucus transport properties. The talk will focus on progress of our research group understanding remarkable nonlinear phenomena in the oscillatory flow of viscoelastic fluids, and explaining why dynamic and spatial microstructural characterization is essential in the understanding of mucus transport. These research projects involve collaborations at UNC that are either inspired by or directly related to experiments carried out in the Physics Department and Cystic Fibrosis Center.