This article summarizes a variety of physical mechanisms proposed in the literature, which
can generate micro-and nanodomains in multicomponent lipid bilayers and biomembranes …

We highlight some recent developments that widen the scope and reach of mesoscopic thin-
film (or long-wave) hydrodynamic models employed to describe the dynamics of thin films …

The lipid raft hypothesis presents insights into how the cell membrane organizes proteins
and lipids to accomplish its many vital functions. Yet basic questions remain about the …

In this paper we propose equations of motion for the dynamics of liquid films of surfactant
suspensions that consist of a general gradient dynamics framework based on an underlying …

Nanometer-scale domains in cholesterol-rich model membranes emulate lipid rafts in cell
plasma membranes (PMs). The physicochemical mechanisms that maintain a finite, small …

Ever since the raft model for biomembranes has been proposed, the traditional view of
biomembranes based on the fluid-mosaic model has been altered. In the raft model …

We present a theory of inhomogeneities in the plasma membrane, or rafts, that can exist in
both leaves of the plasma membrane. We note that although neither of the major …

This chapter illustrates how to apply continuation techniques in the analysis of a particular
class of nonlinear kinetic equations that describe the time evolution of a single scalar field …

We numerically investigate the phase separation dynamics of the non-reciprocal Allen–
Cahn model in which two non-conserved order parameters are coupled. The system exhibits …

A ternary mixture model is proposed to describe composition fluctuations in mixed
membranes composed of saturated, unsaturated, and hybrid lipids (with one saturated and …