During the 1970s, the study of the variety of membrane shapes attainable in equilibrium was initiated in the biophysics community. Activity in this and related areas has grown rapidly over the intervening decades. The study of the shape and evolution of cell membranes provides a broad spectrum of challenging mathematical problems. Over the past several years there has been an increased interest in this topic among geometers, analysts, and numericists.
The purpose of this proposed workshop is to:
(1) bring together members of the various relevant mathematical subcommunities to gives tutorial lectures for graduate students, postdoctoral researchers, and junior faculty members,
(2) report on recent progress,
(3) engage in discussions with the goal of developing a comprehensive understanding of the most relevant questions and challenges and formulating approaches to making further advances.
Key words
Multiscale methods; nucleation; budding; fission; phase stability; curvature.