On the equilibrium equation for a generalized biological membrane energy by using a shape optimization approach

A. Laadhari; C. Misbah; P. Saramito

doi:10.1016/j.physd.2010.04.001

On the equilibrium equation for a generalized biological membrane energy by using a shape optimization approach

A. Laadhari
, C. Misbah
, P. Saramito

Mathematics

UJF-Grenoble 1/CNRS-INSU
Laboratoire Jean Kuntzmann (LJK)

Research output: Contribution to journal › Article › peer-review

28 Scopus citations

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.

Original language	British English
Pages (from-to)	1567-1572
Number of pages	6
Journal	Physica D: Nonlinear Phenomena
Volume	239
Issue number	16
DOIs	https://doi.org/10.1016/j.physd.2010.04.001
State	Published - 15 Aug 2010

Keywords

Helfrich energy
Red cell membrane
Shape optimization
Vesicle shape

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title = "On the equilibrium equation for a generalized biological membrane energy by using a shape optimization approach",

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 = "Helfrich energy, Red cell membrane, Shape optimization, Vesicle shape",

author = "A. Laadhari and C. Misbah and P. Saramito",

note = "Funding Information: The authors acknowledge the financial support from ANR (Agence National de la Recherche), project MOSICOB. C.M. is grateful to CNES (Centre National d{\textquoteright}Etudes Spatiales) for the financial support. ",

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AU - Laadhari, A.

AU - Misbah, C.

AU - Saramito, P.

N1 - Funding Information: The authors acknowledge the financial support from ANR (Agence National de la Recherche), project MOSICOB. C.M. is grateful to CNES (Centre National d’Etudes Spatiales) for the financial support.

PY - 2010/8/15

Y1 - 2010/8/15

N2 - 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.

AB - 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.

KW - Helfrich energy

KW - Red cell membrane

KW - Shape optimization

KW - Vesicle shape

UR - https://www.scopus.com/pages/publications/77953870224

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DO - 10.1016/j.physd.2010.04.001

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JO - Physica D: Nonlinear Phenomena

JF - Physica D: Nonlinear Phenomena

IS - 16

ER -

On the equilibrium equation for a generalized biological membrane energy by using a shape optimization approach

Abstract

Keywords

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