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 …

Parametric finite elements lead to very efficient numerical methods for surface evolution
equations. We introduce several computational techniques for curvature driven evolution …

Fluid deformable surfaces are ubiquitous in cell and tissue biology, including lipid bilayers,
the actomyosin cortex or epithelial cell sheets. These interfaces exhibit a complex interplay …

Governing equations of motion for a viscous incompressible material surface are derived
from the balance laws of continuum mechanics. The surface is treated as a time-dependent …

Remodeling of membranes in living systems is almost universally coupled to self-assembly
of soluble proteins. Proteins assemble into semi-rigid shells that reshape attached …

The behaviour of a single droplet in an immiscible external fluid, submitted to shear flow is
investigated using numerical simulations. The surface of the droplet is modelled by a …

We introduce a modelling and simulation framework for cell aggregates in three dimensions
based on interacting active surfaces. Cell mechanics is captured by a physical description of …

The inertialess fluid–structure interactions of active and passive inextensible filaments and
slender-rods are ubiquitous in nature, from the dynamics of semi-flexible polymers and …

Vesicles and many biological membranes are made of two monolayers of lipid molecules
and form closed lipid bilayers. The dynamical behavior of vesicles is very complex and a …

We develop a finite element scheme to approximate the dynamics of two and three
dimensional fluidic membranes in Navier–Stokes flow. Local inextensibility of the membrane …