Corpus ID: 227745261

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

@article{Elliott2020AFF,
  title={A formula for membrane mediated point particle interactions on near spherical biomembranes.},
  author={C. M. Elliott and P. J. Herbert},
  journal={arXiv: Analysis of PDEs},
  year={2020}
}
We consider a model of a biomembrane with attached proteins. The membrane is represented by a near spherical continuous surface and attached proteins are described as discrete rigid structures which attach to the membrane at a finite number of points. The resulting surface minimises a quadratic elastic energy (obtained by a perturbation of the Canham-Helfrich energy) subject to the point constraints which are imposed by the attachment of the proteins. We calculate the derivative of the energy… Expand

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