Title: Vignettes from transport in complex fluids 

Abstract: Complex fluids comprised of entangled or cross-linked polymeric proteins, often called biogels, are ubiquitous throughout biology and physiology: from the human GI tract to the internal structure of individual cells. Consequently, transport of diffuse species through biogels is a phenomenon with broad biological consequence. However, transport through such complex materials often introduces extra complications or non-linearities that a mathematical model must incorporate and numerics must contend with. This talk will be a survey of some work addressing these numerical challenges. I will also discuss some applications to modelling human stomach health, as well as pattern formation in motile eukaryotic cells.