Stochastic model of domain kinetics in biological membranes

Abstract

A stochastic storage model based on the behavior of macroscopic variables of the system is used to describe the kinetics of raft-like domains in biological membranes. For a simple output model, we examine the features of the system behavior corresponding to the noise-induced nonequilibrium phase transitions. Characteristics of the behavior of the statistical system are obtained: an explicit form of the stationary distribution of the number of domains; ratios for the phase transition points; the expression for the first two moments of the random domain concentration, and the expression for the lifetime of membrane domains in the stationary state.