A fluid lipid membrane transmits stresses and torques that are fully determined by its
geometry. They can be described by a stress-and torque-tensor, respectively, which yield …

How nanoparticles interact with biomembranes is central for understanding their bioactivity.
Biomembranes wrap around nanoparticles if the adhesive interaction between the …

A fundamental understanding of cell-nanomaterial interaction is of essential importance to
nanomedicine and safe applications of nanotechnology. Here we investigate the adhesive …

Abstract Proteins containing a Bin/Amphiphysin/Rvs (BAR) domain regulate membrane
curvature in the cell. Recent simulations have revealed that BAR proteins assemble into …

Motivated by the motion of biopolymers and membranes in solution, this article presents a
formulation of the equations of motion for curves and surfaces in a viscous fluid. The focus is …

How nanoparticles interact with biomembranes is central for understanding their bioactivity.
In this Letter, we report novel tubular membrane structures induced by adsorbed spherical …

Particles binding to a fluid lipid membrane can induce bilayer deformations, for instance
when these particles are curved. Since the energy of two overlapping warp fields depends …

A fundamental understanding of cell-nanomaterial interaction is essential for biomedical
diagnostics, therapeutics, and nanotoxicity. Here, we perform a theoretical analysis to …

General contact conditions are developed for lipid membranes interacting with curved
substrates along their edges. These include the anchoring conditions familiar from liquid …

Symmetry restrictions due to fluidity require the strain energy in the Helfrich theory of lipid
membranes to be locally isotropic in nature. Although this framework is suitable for modeling …