# On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models

@article{Kies2017OnDO, title={On differentiability of the membrane-mediated mechanical interaction energy of discrete-continuum membrane-particle models}, author={Tobias Kies and C. Graser}, journal={arXiv: Analysis of PDEs}, year={2017} }

We consider a discrete-continuum model of a biomembrane with embedded particles. While the membrane is represented by a continuous surface, embedded particles are described by rigid discrete objects which are free to move and rotate in lateral direction. For the membrane we consider a linearized Canham-Helfrich energy functional and height and slope boundary conditions imposed on the particle boundaries resulting in a coupled minimization problem for the membrane shape and particle positions… Expand

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