A Variational Approach to Particles in Lipid Membranes
arXiv:1512.02375 · doi:10.1007/s00205-016-1016-9
Abstract
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.
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- On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models
- A formula for membrane mediated point particle interactions on near spherical biomembranes