The Dynamic Behavior Possibilities of Raft-Like Domains in Biological Membranes

Abstract

A possible scenario of the behavior of a raft-like domain system oscillating near the phase transition point of the Verchulst transition type, when the form of the stationary distribution for the concentration of domains changes stepwise, has been considered. A stationary state of the system is also possible at the indicated phase transition point, as well as fluctuations in the state of the system between the modes of extinction and survival, if the analogy with the Verhulst model is applied. The system behavior is explored in the framework of the stochastic storage model. This model is compared with the Verhulst model of a biological population. Similarities and differences between the models are highlighted. There are no bifurcations and transition to chaos in the domain system. Other features and characteristics of the dynamic behavior and stationary states of the raft-like domain system are considered.