One of the grand challenges of amphiphilic self‐assembly is the design of ordered structures
whose morphology or shape can be explicitly and dynamically controlled by adjusting the …

Polymer vesicles, also named polymersomes, are valuable candidates for drug delivery and
micro-or nanoreactor applications. As far as drug delivery is concerned, the shape of the …

In this paper, we review the theoretical analyses and simulations of the interactions between
curvature-inducing proteins and biomembranes. Laterally isotropic proteins induce spherical …

This paper presents a new finite element (FE) formulation for liquid shells that is based on
an explicit, 3D surface discretization using C 1-continuous finite elements constructed from …

We develop theory and computational methods to investigate particle inclusions embedded
within curved lipid bilayer membranes. We consider the case of spherical lipid vesicles …

SUMMARY A thin shell finite element approach based on Loop's subdivision surfaces is
proposed, capable of dealing with large deformations and anisotropic growth. To this end …

This chapter discusses the computational modeling of lipid bilayers based on the nonlinear
theory of thin shells. Several computational challenges are identified and various theoretical …

The behavior of a lipid membrane on mesoscopic scales is captured unusually accurately by
its geometrical degrees of freedom. Indeed, the membrane geometry is, very often, a direct …

Compact cylindrical and spherical invaginations are common structural motifs found in
cellular and developmental biology. To understand the basic physical mechanisms that …

The Canham-Helfrich-Evans models of biomembranes consist of a family of geometric
constrained variational problems. In this article, we compare two classes of numerical …