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On the equilibrium equation for a generalized biological membrane energy by using a shape optimization approach |
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| Authors: | A Laadhari C Misbah P Saramito |
| Institution: | a Laboratoire de Spectrométrie Physique, 140 avenue de la physique, Université Joseph Fourier, and CNRS, 38402, Saint Martin d’Hères, France b Laboratoire Jean Kuntzmann, Université Joseph Fourier and CNRS, B. P. 53, 38041 Grenoble Cedex 9, France |
| Abstract: | A mechanical equilibrium equation of a vesicle membrane under a generalized elastic bending energy is obtained in this paper. Moreover, the derivation of this equilibrium equation is based on some shape optimization tools. This approach is new and more concise than the tensorial tools used previously for this problem. |
| Keywords: | Vesicle shape Red cell membrane Helfrich energy Shape optimization |
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