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 …

Cell membranes are vital to shield a cell's interior from the environment. At the same time
they determine to a large extent the cell's mechanical resistance to external forces. In recent …

We study the effect of membrane viscosity in the dynamics of liquid membranes—possibly
with free or internal boundaries—driven by conservative forces (curvature elasticity and line …

Diffuse interface (phase field) models are developed for multi-component vesicle
membranes with different lipid compositions and membranes with free boundary. These …

We present FreeDTS software for performing computational research on biomembranes at
the mesoscale. In this software, a membrane is represented by a dynamically triangulated …

This paper, originally motivated by a question raised by Wood and Hanna [Soft Matter, 2019,
15, 2411], shows that pure measures of bending for soft plates can be defined by introducing …

The purpose of this paper is to study the shapes and stabilities of bio-membranes within the
framework of exterior differential forms. After a brief review of the current status of theoretical …

Clathrin-mediated endocytosis (CME) is the major endocytosis pathway for the specific
internalization of large compounds, growth factors, and receptors. Formation of internalized …

Lipid membrane with freely exposed edge is regarded as smooth surface with curved
boundary. Exterior differential forms are introduced to describe the surface and the boundary …

Consider a closed lipid membrane (vesicle), modelled as a two-dimensional surface,
described by a geometrical Hamiltonian that depends on its extrinsic curvature. The …