Equilibrium shape equation and geometrically permissible condition for two-component lipid bilayer vesicles

Journal of Biological Physics

Volumn 31, Issue 2, 2005, Pages 135-143

  Dong, Ni ^a   Yajun, Yin ^a   Huiji, Shi ^a  

^a TSINGHUA UNIVERSITY   (China)

Author keywords

Amphiphile; Geometrically permissible condition; Lipid bilayer; Shape equation; Vesicles

Indexed keywords

AMPHOPHILE;

ANALYTIC METHOD; ARTICLE; CHEMICAL COMPOSITION; EXPERIMENT; GEOMETRY; LIPID BILAYER; LIPID VESICLE; MEMBRANE; PHENOMENOLOGY; PHYSICAL PARAMETERS; PREDICTION; PRIORITY JOURNAL; SURFACE PROPERTY;

EID: 23844557379     PISSN: 00920606     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10867-005-4307-1     Document Type: Article

References (22)

1. Canham, P.B.: The Minimum Energy of Bending as a Possible Explanation of the Biconcave Shape of the Human Red Blood Cell, J. Theor. Biol. 26 (1970), 61-81.
2. Helfrich, W.: Elastic Properties of Lipid Bilayers: Theory and Possible Experiments, Z. Naturforsch. C. 28 (1973), 693-703.
3. Deuling, H.J. and Helfrich, W.: The Curvature Elasticity of Fluid Membranes: A Catalogue of Vesicle Shapes, J. Phys. France. 37 (1976), 1335-1345.
4. Seifert, U., Berndl, K. and Lipowsky, R.: Shape Transformations of Vesicles: Phase Diagrams for Spontaneous Curvature and Bilayer-Coupling Models, Phys. Rev. A. 44 (1991), 1182-1202.
5. Leibler, S.: Curvature Instability in Membranes, J. Phys. France. 47 (1986), 507-516.
6. Seifert, U.: Configurations of Fluid Membranes and Vesicles, Adv. Phys. 46 (1997), 13-137.
7. Taniguchi, T., Kawasaki, K., Andlman, D. and Kawakatsu, T.: Equilibrium Shape Deformations of Two-Component Vesicles, J. Phys. II. France. 4 (1994), 1333-1362.
8. Chen, C.-M., Higgs, P.G. and Mackintosh, F.C.: Theory of Fission for Two-Component Lipid Vesicles, Phys. Rev. Lett. 79 (1997), 1579-1582.
9. Deuling, H.J. and Helfrich, W.: Red Blood Cell Shapes as Explained on the Basis of Curvature Elasticity, Biophys. J. 16 (1976), 861-868.
10. Brochard, F., DE Gennes, P.G. and Pfeuty, P.: Surface Tension and Deformations of Membrane Structures: Relation to Two-Dimensional Phase Transitions, J. Physique 37 (1976), 1099-1104.
11. Iglič, A.: A Possible Mechanism Determining the Stability of Spiculated Red Blood Cells, J. Biomech. 30 (1997), 35-40.
12. Evans, E. and Rawicz, W.: Entropy-Driven Tension and Bending Elasticity in Condensed-Fluid Membranes, Phys. Rev. Lett. 64 (1990), 2094-2097.
13. Fourcade, B., Miao, L., Rao, M. and Wortis, M.: Scaling Analysis of Narrow Necks in Curvature Models of Fluid Lipid-Bilayer Vesicles, Phys. Rev. E. 49 (1994), 5276-5286.
14. Mutz, M. and Bensimon, D.: Observation of Toroidal Vesicles, Phys. Rev. A. 43 (1991), 4525-4527.
15. Yin, Y., Chen, Y., Ni, D., Shi, H. and Fan, Q.: Shape Equations and Curvature Bifurcations Induced by Inhomogeneous Rigidities in Cell Membranes, J. Biomech (2004), in press.
16. Ou-Yang, Z.-C. and Helfrich, W.: Instability and Deformation of a Spherical Vesicle by Pressure, Phys. Rev. Lett. 59 (1987), 2486-2488.
17. Ou-Yang, Z.-C. and Helfrich, W.: Bending Energy of Vesicle Membranes: General Expressions for the First, Second and Third Variation of the Shape Energy and Applications to Spheres and Cylinders, Phys. Rev. A. 39 (1989), 5280-5288.
18. Yin, Y.: Integral Theorems Based on A New Gradient Operator Derived from Biomembranes (Part II): Deduced Transformations and Applications, Tsinghua Science & Technology, 10(3) (2005), in press.
19. Yin, Y. and Yin, J.: Geometrical Constraint Equations and Geometrically Permissible Phase Diagrams for Vesicles or Biomembranes, Chin. Phys. Lett. 21 (2004), 2057-2058.
20. Ou-Yang, Z.-C., Liu, J.-X. and Xie, Y.-Z.: Geometric Methods in the Elastic Theory of Membranes in Liquid Crystal Phases, World Scientific, Singapore, 1999.
21. Saitoh, A., Takiguchi, K., Tanaka, Y. and Hotani, H.: Opening-up of Liposomal Membranes by Talin, Proc. Natl. Acad. Sci. U.S.A. 95 (1998), 1026-1031.
22. Yin, Y.: Integral Theorems Based on a New Gradient Operator Derived from Biomembranes (Part II), Tsinghua Science & Technology, 10(3) (2005), in press.