Speaker:Andrew Samuelson, George Mason University
Title: Mathematical Modeling and Analysis for Fluid-Structure Interaction Applications to Aneurysms

Abstract: In this talk, we will present analytical and computational models for understanding soft tissue mechanics, fluid dynamics, and their interaction. Despite major advances in this area, there is still a need for more sophisticated models which provide better insight into understanding the biomechanics of aneurysms. Towards this end, this talk will present the development of a hyperelastic membrane model; a fully three-dimensional elastic model; stability analysis of the governing equations derived for the membrane and elastic models; and computational algorithms using the finite element method to substantiate the results from analytical models. We will also discuss the influence of viscoelasticity and anisotropy on these proposed models.

Time: Friday, Mar. 11, 2011, 1:30-2:30 p.m.

Place: Science and Tech I, Room 242

Department of Mathematical Sciences
George Mason University
4400 University Drive, MS 3F2
Fairfax, VA 22030-4444
http://math.gmu.edu/
Tel. 703-993-1460, Fax. 703-993-1491