Topological defects in thin films coating a deformed substrate interact with the underlying
curvature. This coupling mechanism influences the shape of biological structures and …

Recent theoretical advances in elasticity of membranes following Helfrich's famous
spontaneous curvature model are summarized in this review. The governing equations …

Shape transformations of epithelial tissues in three dimensions, which are crucial for
embryonic development or in vitro organoid growth, can result from active forces generated …

We present a method for simulating fluid vesicles with in-plane orientational ordering. The
method involves computation of local curvature tensor and parallel transport of the …

On mesoscopic scales, lipid membranes are well described by continuum theories whose
main ingredients are the curvature of a membrane's reference surface and the tilt of its lipid …

Polymer vesicles are stable robust vesicles made from block copolymer amphiphiles.
Recent progress in the chemical design of block copolymers opens up the exciting …

The elastic properties of lipid membranes can be measured by monitoring their thermal
fluctuations. For instance, comparing the power spectra of membrane shape or lipid director …

Complex morphologies in lipid membranes typically arise due to chemical heterogeneity,
but in the tilted gel phase, complex shapes can form spontaneously even in a membrane …

The interaction between particles and lipid biomembranes plays an essential role in many
fields such as endocytosis, drug delivery, and intracellular traffic. Here we conduct a …

Lipid bilayer membranes under biologically relevant conditions are flexible thin laterally fluid
films consisting of two unimolecular layers (monolayers) each about 2 nm thick. On spatial …