Tuesday, March 15, 2011
101 Stanley Thomas Hall
Tulane University (Uptown)
Refreshments will be served
Sookkyung Lim, Department of Mathematical Sciences, University of Cincinnati
Generalized immersed boundary method applied to mathematical modeling in biology
A generalized version of the immersed boundary (IB) method combined with the unconstrained Kirchhoff rod theory has been developed to study biological fluid mechanics in the filamentous structure such as bacterial flagella and DNA strand.
A thin elastic filament (rod) in the Kirchhoff model that resists bending and twisting can be modeled as a "three-dimensional space curve'' together with an orthonormal triad (material frame) at each point of the rod. The triad indicates how much the filament bends or twists. This is a well-established theory in the statics and dynamics of thin elastic filaments without fluid. Combining Kirchhoff rod theory with the standard models of viscous incompressible fluids will allow us to study the complicated hydrodynamics of bacterial swimming or DNA supercoiling.
Center for Computational Science, Stanley Thomas Hall 402, New Orleans, LA 70118 firstname.lastname@example.org