Mathematical Biology Seminar

Paul Atzberger
UC Santa Barbara
Friday Feb. 12, 2010
3:05pm in LCB 215
Stochastic Eulerian-Lagrangian Methods for the Study of Soft Biological Materials.

Abstract: A modeling and simulation formalism is presented for the study of soft biological materials. The formalism takes into account microstructure elasticity, hydrodynamic interactions, and thermal fluctuations. As a specific motivation we consider lipid bilayer membranes and gel-like polymeric materials. The approach couples a Lagrangian description of the microstructures (lipid molecules / polymers) with an Eulerian description of the hydrodynamics. Thermal fluctuations are incorporated in the formalism by an appropriate stochastic forcing of the resulting equations in accordance with the principles of statistical mechanics. The overall approach extends previous work on the Stochastic Immersed Boundary Method. Simulation studies are presenting showing applications of the methodology in the study of lipid flow in bilayer membranes, the shear viscosity of a gel-like material,and the diffusivity of particles in soft materials.