Nonequilibrium Membrane Dynamics Induced by Active Protein Interactions and Chemical Reactions: A Review

Abstract

Biomembranes wrapping cells and organelles are not only the partitions that separate the insides but also dynamic fields for biological functions accompanied by membrane shape changes. In this review, we discuss the spatiotemporal patterns and fluctuations of membranes under nonequilibrium conditions. In particular, we focus on theoretical analyses and simulations. Protein active forces enhance or suppress the membrane fluctuations; the membrane height spectra are deviated from the thermal spectra. Protein binding or unbinding to the membrane is activated or inhibited by other proteins and chemical reactions, such as ATP hydrolysis. Such active binding processes can induce traveling waves, Turing patterns, and membrane morphological changes. They can be represented by the continuum reaction-diffusion equations and discrete lattice/particle models with state flips. The effects of structural changes in amphiphilic molecules on the molecular-assembly structures are also discussed.

arXiv comment11 pages, 7 figures

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• Curvature-sensing and generation by membrane proteins: a review
• Spatiotemporal patterns in the active cyclic Potts model
• Spatiotemporal Patterns in Active Four-State Potts Models
• A mass conserved reaction-diffusion system reveals switching between coexisting polar and oscillatory cell motility states
• Spatiotemporal pattern formation of membranes induced by surface molecular binding/unbinding
• Dynamic modes of active Potts models with factorizable numbers of states