A Variational Approach to Particles in Lipid Membranes

作者:Elliott Charles M*; Graeser Carsten; Hobbs Graham; Kornhuber Ralf; Wolf Maren Wanda
来源:Archive for Rational Mechanics and Analysis, 2016, 222(2): 1011-1075.
DOI:10.1007/s00205-016-1016-9

摘要

A variety of models for the membrane-mediated interaction of particles in lipid membranes, mostly well-established in theoretical physics, is reviewed from a mathematical perspective. We provide mathematically consistent formulations in a variational framework, relate apparently different modelling approaches in terms of successive approximation, and investigate existence and uniqueness. Numerical computations illustrate that the new variational formulations are directly accessible to effective numerical methods.

  • 出版日期2016-11