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

Aymen Laadhari (1) , Chaouqi Misbah (2) , Pierre Saramito (1)

1 EDP - Equations aux Dérivées Partielles
2 LSP - Laboratoire de Spectrométrie Physique

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 bases on some shape optimization tools. This approach is new and more concise than the tensorial tools previously used for this problem.

Mots clés: Vesicle shape; red cell membrane; Helfrich energy; shape optimization

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Biomécanique [physics.med-ph]; Biomécanique [physics.med-ph]; Equations aux dérivées partielles [math.AP]

Aymen Laadhari, Chaouqi Misbah, Pierre Saramito. On the equilibrium equation for a generalized biological membrane energy by using a shape optimization approach. Physica D: Nonlinear Phenomena, 2010, 239 (16), pp.1567-1572. ⟨10.1016/j.physd.2010.04.001⟩. ⟨hal-00388733⟩