Anisotropic spontaneous curvatures in lipid membranes.

نویسندگان

  • Nikhil Walani
  • Jennifer Torres
  • Ashutosh Agrawal
چکیده

Symmetry restrictions due to fluidity require the strain energy in the Helfrich theory of lipid membranes to be locally isotropic in nature. Although this framework is suitable for modeling the interaction of membranes with proteins that generate spherical curvature such as clathrin, there are other important membrane-bending proteins such as BIN-amphiphysin-Rvs proteins that form a cylindrical coat with different curvatures in the longitudinal and the circumferential directions. In this work, we present a detailed mathematical treatment of the theory of lipid membranes incorporating anisotropic spontaneous curvatures. We derive the associated Euler-Lagrange equations and the edge conditions in a generalized setting that allows spatial heterogeneities in the properties of the membrane-protein system. We employ this theory to model the constriction of a membrane tubule by a cylindrical scaffold. In particular, we highlight the role of the equilibrium equation in the tangential plane in regulating the spatial variation of the surface tension field.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Spontaneous tubulation of membranes and vesicles reveals membrane tension generated by spontaneous curvature.

Recent experimental studies on supported lipid bilayers and giant vesicles have shown that uni-lamellar membrane systems can undergo spontaneous tubulation, i.e., can form membrane tubules or nanotubes without the application of external forces. In the case of supported lipid bilayers, the tube formation was induced by the adsorption of antimicrobial peptides. In the case of giant vesicles, spo...

متن کامل

Towards two-component lipid bilayer membranes: snapping elastic curves

Studying a one-dimensional analogue of the spontaneous curvature model for twocomponent lipid bilayer membranes we consider planar curves that are made of a material with two phases. Each phase induces a different preferred curvature, and these curvatures as well as phase boundaries may cause the curves to develop kinks. We introduce a family of models for smooth curves and phase fields that ap...

متن کامل

Shape Deformations of Multi-Component Vesicles

Deformations of cell membranes, such as fusion, adhesion, budding, and pore formation, play important roles in the maintenance of living cell systems. In cell systems, the membrane deformations are managed by complex interplays between membrane proteins and lipids. It is hypothesized that one role of the membrane proteins is to introduce a local spontaneous curvature by interacting with the mem...

متن کامل

Monolayer spontaneous curvature of raft-forming membrane lipids

Monolayer spontaneous curvatures for cholesterol, DOPE, POPE, DOPC, DPPC, DSPC, POPC, SOPC, and egg sphingomyelin were obtained using small-angle X-ray scattering (SAXS) on inverted hexagonal phases (HII). Spontaneous curvatures of bilayer forming lipids were estimated by adding controlled amounts to a HII forming template following previously established protocols. Spontaneous curvatures of bo...

متن کامل

Bending stiffness of lipid bilayers. II. Spontaneous curvature of the monolayers

In the classical formulation of the elastic bending energy stored in a bilayer, the spontaneous curvatures of the monolayers enter via their sum. Accounting for the

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:
  • Physical review. E, Statistical, nonlinear, and soft matter physics

دوره 89 6  شماره 

صفحات  -

تاریخ انتشار 2014