Elliott, Charles M., Fritz, Hans and Hobbs, Graham (2017) Small deformations of Helfrich energy minimising surfaces with applications to biomembranes. Mathematical Models and Methods in Applied Sciences 27 (08), pp. 1547-1586.
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Other URL: http://doi.org/10.1142/S0218202517500269
Abstract
In this paper, we introduce a mathematical model for small deformations induced by external forces of closed surfaces that are minimisers of Helfrich-type energies. Our model is suitable for the study of deformations of cell membranes induced by the cytoskeleton. We describe the deformation of the surface as a graph over the undeformed surface. A new Lagrangian and the associated Euler-Lagrange ...
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| Item type: | Article | ||||
|---|---|---|---|---|---|
| Date: | 2017 | ||||
| Institutions: | Mathematics | ||||
| Identification Number: |
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| Keywords: | MEMBRANES; PROTRUSIONS; CURVATURE; DYNAMICS; VESICLES; WILLMORE; THEOREM; DRIVEN; FLOW; Surface deformations; Helfrich energy; point forces; PDEs on surfaces; existence and uniqueness of weak solutions; discretisation; surface finite element method | ||||
| Dewey Decimal Classification: | 500 Science > 510 Mathematics | ||||
| Status: | Published | ||||
| Refereed: | Yes, this version has been refereed | ||||
| Created at the University of Regensburg: | Yes | ||||
| Item ID: | 39417 |
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