Date: Friday, April 12, 2013
Location: 1084 East Hall (3:00 PM to 4:00 PM)
Title: Nonlinear dynamics of a lipid membrane under a DC field
Abstract: Cells are enveloped by a lipid membrane, which is impermeable to ions and acts as a capacitor when an electric field is applied. In this work we present a long-wave model for the nonlinear dynamics of a planar (unsupported) lipid membrane under a DC field. The lipid membrane is modeled as an interface with a constant area. The governing equations for the non-linear long-wave dynamics are derived under different conditions. Analysis on the equilibrium profile shows the existence of multiple equilibrium profiles. Numerical simulations of the nonlinear dynamics illustrate various novel behaviors, and elucidate the importance of charge distribution on the membrane. We will also examine the possible effects of tangential electric field on the membrane dynamics.
This work is a collaboration with Michael Miksis (Northwestern University) and Shravan Veerapaneni (University of Michigan, Ann Arbor).
Speaker: Yuan Young
Institution: New Jersey Institute of Technology
Event Organizer: Shravan Veerapaneni shravan@umich.edu
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