Corpus ID: 88507275

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
2 Citations

Figures from this paper

A formula for membrane mediated point particle interactions on near spherical biomembranes.

References

SHOWING 1-10 OF 23 REFERENCES
The Effective Field Theory approach towards membrane-mediated interactions between particles.
Continuum descriptions of membranes and their interaction with proteins: Towards chemically accurate models.
The many-body problem for anisotropic membrane inclusions and the self-assembly of "saddle" defects into an "egg carton".
High-order power series expansion of the elastic interaction between conical membrane inclusions
Membrane-Mediated Interaction between Strongly Anisotropic Protein Scaffolds
Fluid lipid membranes: from differential geometry to curvature stresses.
  • M. Deserno
  • Chemistry, Medicine
  • Chemistry and physics of lipids
  • 2015
The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell.
  • P. Canham
  • Mathematics, Medicine
  • Journal of theoretical biology
  • 1970
...
1
2
3
...