Neck geometry and shape transitions in vesicles with co-existing fluid phases: Role of Gaussian curvature stiffness vs. spontaneous curvatureS. L. Das1, 2, J. T. Jenkins1 and T. Baumgart3
1 Theoretical and Applied Mechanics, Cornell University - Ithaca, NY 14853, USA
2 Department of Mathematics, Penn State University - University Park, PA 16802, USA
3 Department of Chemistry, University of Pennsylvania - Philadelphia, PA 19104, USA
received 25 February 2009; accepted in final form 29 April 2009; published May 2009
published online 29 May 2009
Lipid bilayer vesicles with fluid/fluid phase coexistence are promising model systems for biological cell membranes. They permit the investigation of the mechanical properties of lipid membranes that are important for understanding mechanistic aspects of biological membrane function. Comparison of experimentally obtained vesicle shapes to mechanical membrane theories has enabled us to determine the values of line tension and mean-curvature bending stiffness of liquid-ordered and -disordered membranes. An additional important parameter that controls membrane geometry is the spontaneous curvature, driven, for example, by peripheral protein coats or asymmetric lipid composition. We examine to what extent effects of differing spontaneous curvature and Gauss curvature stiffness between coexisting fluid phases can be distinguished by membrane shape analysis. We find that the equilibrium neck geometries of dumbbell-shaped vesicles and the shapes of vesicles close to budding are very similar for vesicles that differ in spontaneous curvature or Gauss curvature stiffness differences. However, the two parameters have qualitatively different influence on discontinuous budding transitions.
87.16.D- - Membranes, bilayers, and vesicles.
82.70.Uv - Surfactants, micellar solutions, vesicles, lamellae, amphiphilic systems, (hydrophilic and hydrophobic interactions).
87.10.-e - General theory and mathematical aspects.
© EPLA 2009