Measurement of the bending rigidity and spontaneous curvature of fluid membranes in simulations

Abstract

Several numerical methods for measuring the bending rigidity and the spontaneous curvature of fluid membranes are studied using two types of meshless membrane models. The bending rigidity is estimated from the thermal undulations of planar and tubular membranes and the axial force of tubular membranes. We found a large dependence of its estimate value from the thermal undulation analysis on the upper-cutoff frequency q_{cut} of the least squares fit. The inverse power-spectrum fit with an extrapolation to q_{cut} -> 0 yields the smallest estimation error among the investigated methods. The spontaneous curvature is estimated from the axial force of tubular membranes and the average curvature of bent membrane stripes. The results of these methods show good agreement with each other.

14 pages, 16 figures

References in corpus (4)

• Biological and synthetic membranes: What can be learned from a coarse-grained description?
• A novel method for measuring the bending rigidity of model lipid membranes by simulating tethers
• Anisotropic surface tension of buckled fluid membrane
• Solvent-free coarse-grained lipid model for large-scale simulations

Cited by in corpus (29)

• Membrane tubule formation by banana-shaped proteins with or without transient network structure
• Monte Carlo study of the frame, fluctuation and internal tensions of fluctuating membranes with fixed area
• Two- or three-step assembly of banana-shaped proteins coupled with shape transformation of lipid membranes
• Formation of polyhedral vesicles and polygonal membrane tubes induced by banana-shaped proteins
• Binding of thermalized and active membrane curvature-inducing proteins
• Acceleration and suppression of banana-shaped-protein-induced tubulation by addition of small membrane inclusions of isotropic spontaneous curvatures
• Structure formation in binary mixtures of surfactants: vesicle opening-up to bicelles and octopus-like micelles
• Determination of Elastic Parameters of Lipid Membranes with Molecular Dynamics: A Review of Approaches and Theoretical Aspects
• Shape transition from elliptical to cylindrical membrane tubes induced by chiral crescent-shaped protein rods
• Shape deformation of lipid membranes by banana-shaped protein rods: Comparison with isotropic inclusions and membrane rupture
• Membrane shape deformation induced by curvature-inducing proteins consisting of chiral crescent binding and intrinsically disordered domains
• Cup-to-vesicle transition of a fluid membrane with spontaneous curvature
• Binding of anisotropic curvature-inducing proteins onto membrane tubes
• Non-uniqueness of local stress of three-body potentials in molecular simulations
• Morphological changes of amphiphilic molecular assemblies induced by chemical reaction
• Mechanical properties and microdomain separation of fluid membranes with anchored polymers
• Line tension of branching junctions of bilayer membranes
• Binding of Curvature-Inducing Proteins onto Biomembranes
• Structure formation in binary mixtures of lipids and detergents: Self-assembly and vesicle division
• Binding of curvature-inducing proteins onto tethered vesicles
• Structure formation of surfactant membranes under shear flow
• Nonequilibrium Membrane Dynamics Induced by Active Protein Interactions and Chemical Reactions: A Review
• Detachment of fluid membrane from substrate and vesiculation
• Membrane domain formation induced by binding/unbinding of curvature-inducing molecules onto both membrane surfaces
• Entropy-driven aggregation in multilamellar membranes
• Virtual bending method to calculate bending rigidity, saddle-splay modulus, and spontaneous curvature of thin fluid membrane
• Local stress in cylindrically curved lipid membrane: insights into local versus global lateral fluidity models
• Spatiotemporal pattern formation of membranes induced by surface molecular binding/unbinding
• Growth and shrinkage of tissue sheets on substrates: buds, buckles, and pores