Geodesic
On differentiability of the membrane-mediated mechanical interaction energy of discrete–continuum membrane–particle models
Carsten Gräser1 orcid ; Tobias Kies1
1Freie Universität Berlin, Germany
Interfaces and free boundaries, Tome 23 (2021) no. 4, pp. 459-484

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DOI

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.
DOI : 10.4171/ifb/461
Classification : 35-XX, 49-XX, 74-XX
Mots-clés : Biomembranes, membrane–particle systems, topology optimization

Carsten Gräser  1   ; Tobias Kies  1

1 Freie Universität Berlin, Germany 
Carsten Gräser; Tobias Kies. On differentiability of the membrane-mediated mechanical interaction energy of discrete–continuum membrane–particle models. Interfaces and free boundaries, Tome 23 (2021) no. 4, pp. 459-484. doi: 10.4171/ifb/461
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     author = {Carsten Gr\"aser and Tobias Kies},
     title = {On differentiability of the membrane-mediated mechanical interaction energy of discrete{\textendash}continuum membrane{\textendash}particle models},
     journal = {Interfaces and free boundaries},
     pages = {459--484},
     year = {2021},
     volume = {23},
     number = {4},
     doi = {10.4171/ifb/461},
     url = {http://geodesic.mathdoc.fr/articles/10.4171/ifb/461/}
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