A Phase Field Model for Cell Shapes: Gamma Convergence and Numerical Methods

Timothy Banham
Department of Mathematics and Center for Theoretical Biological Physics
UC San Diego


ABSTRACT


We will look how to model cells (or more precisely vesicles) with energy functionals. We will also look at the sharp interface limit of one such phase field model constructed by Shao, Rappel, and Levine. Finally we will look at some numerical simulations based on Shao-Rappel-Levine model and other models.