Date: Monday, November 24, 2014
Location: 3096 East Hall (2:30 PM to 3:30 PM)
Title: Fast, high-order algorithms for simulating vesicle flows through constrained geometries
Abstract: Locally inextensible vesicles and membranes suspended in a viscous fluid appear often in biological systems. Red blood cells, for example, share the same biconcave equilibrium conformation as vesicles and exhibit similar tank-treading and tumbling dynamics. Artificial vesicles are used in drug-delivery systems, and periodic cylindrical lipid bilayers are observed in cellular organelles such as mitochondria, chloroplasts, and endoplamic reticula. A boundary integral method based approach is provided for modeling these inextensible membranes. The numerical scheme is developed for the case of a 2D periodic lipid bilayer suspended in a viscous flow. In addition, a new algorithm is provided for modeling vesicle flows through arbitrary, periodic geometries.
Speaker: Gary Marple