Mathematics Colloquium: Fluid mechanical models of ciliary and flagellar motility
4:10 pm Neill 5W
Abstract: Complex fluid-structure interactions are central to sperm motility and ciliary function. The transport of spermatozoa depends not only on the flagellar mechanisms of sperm motility, but also on the muscular contractions of the uterus and oviduct. Ciliary beating also drives fluid motion in the reproductive system as well as in the lungs. The dynamic shapes of these biostructures are determined by internal mechanics of the ciliary and flagellar axoneme as well as the interaction with the external fluid mechanics. In many of these systems, the fluid exhibits non-Newtonian characteristics. While much progress has been made in the development of mathematical models and numerical methods for fluid-structure interactions in a Newtonian fluid, much work needs to be done in the case of complex fluids. In this talk we will give an overview of the work in Newtonian fluid dynamics that has been applied to sperm and ciliary motility, We will also present recent work , based on an immersed boundary framework, that promise to provide insight into these complex, coupled dynamical systems.