Chapter 11 Elasticity and Electrostatics of Amphiphilic Layers: Current State of the Theory and the Experiment

Advances in Planar Lipid Bilayers and Liposomes

Volumn 5, Issue , 2006, Pages 313-343

  Bivas, I ^a   Ermakov, Yu A ^b  

^a INSTITUTE OF SOLID STATE PHYSICS   (Bulgaria)

^b FRUMKIN INSTITUTE OF PHYSICAL CHEMISTRY AND ELECTROCHEMISTRY   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 47049089800     PISSN: 15544516     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1554-4516(06)05011-3     Document Type: Review

References (73)

1. Ermakov Yu.A., Makhmudova S.S., and Averbakh A.Z. Two components of boundary potentials at the lipid membrane surface: electrokinetic and complementary methods studies. Colloids Surf. A 140 (1998) 13-22
2. Adamson A.W. Physical Chemistry of Surfaces (1976), Wiley, New York
3. Petrov A.G. The Lyotropic State of Matter: Molecular Physics and Living Matter Physics (1999), Gordon and Breach, Amsterdam
4. Hianik T., and Passechnik V.I. Bilayer Lipid Membranes: Structure and Mechanical Properties (1999), Kluwer, Dordrecht
5. D. Andelman, Electrostatic properties of membranes: the Poisson-Boltzmann theory, in: R. Lipowsky, E. Sackmann (Eds.), Handbook of Biological Physics, Elsevier Science, B.V., Amsterdam, Vol. 1. 1995, pp. 603-642.
6. Marsh D. Lateral pressure in membranes. Biochim. Biophys. Acta - Rev. Biomemb. 1286 (1996) 183-223
7. Helfrich W. Elastic properties of lipid bilayers: theory and possible experiments. Z. Naturforsh. 28c (1973) 693-703
8. Canham P.B. The minimum energy of bending as a possible explanation of the biconcave shape of the human red blood cell. J. Theoret. Biol. 26 (1970) 61-81
9. Petrov A.G. Flexoelectric model for active transport. In: Vassileva J. (Ed). Physical and Chemical Bases of Biological Information Transfer (1975), Plenum Press, New York 111-125
10. Petrov A.G. Flexoelectricity of model and living membranes. Biochim. Biophys. Acta 1561 (2001) 1-25
11. Derzhanski A., Bivas I., and Petrov A.G. Latest theoretical and experimental investigations of the flexoeffect in membranes. Mol. Cryst. Liquid Cryst. 191 (1990) 97-108
12. Bivas I., Hanusse P., Bothorel P., Lalanne J., and Aguerre-Chariol O. An application of the optical microscopy to the determination of the curvature elastic modulus of biological and model membranes. J. Phys. (Paris) 48 (1987) 855-867
13. Evans E., and Rawicz W. Entropy-driven tension and Bending elasticity in condensed-fluid membranes. Phys. Rev. Lett. 64 (1990) 2094-2097
14. Bivas I., and Méléard P. Bending elasticity and bending fluctuations of lipid bilayer containing an additive. Phys. Rev. E 67 (2003) 012901
15. Helfrich W. Amphiphilic mesophases made of defects. In: Balian R., Kléman M., and Poirier J.-P. (Eds). Physics of Defects (1981), North-Holland, Amsterdam 716-755
16. Gouy G. Sur la constitution de la charge électrique à la surface d'un électrolyte. J. Phys. (Paris) 9 4 (1910) 457-468
17. Gouy G. Sur la fonction électrocapillaire. Ann. Phys. (Leipzig) 7 (1917) 129-183
18. Chapman D.L. A contribution to the theory of electrocapillarity. Philos. Mag. 25 (1913) 475-481
19. Borukhov I., Andelman D., and Orland H. Steric effects in electrolytes: a modified Poisson-Boltzmann equation. Phys. Rev. Lett. 79 (1997) 435-438
20. Bohinc K., Kralj-Iglič V., and Iglič A. Thickness of electrical double layer. Effect of ion size,. Electrochim. Acta 46 (2001) 3033-3040
21. Kozlov M.M., and Markin V.S. Effect of discreteness of charge on the potential distribution in bilayer lipid membranes. Biophysics 27 (1982) 652-658
22. Kozlov M.M., Chernyi V.V., Sokolov V.S., Ermakov Yu.A., and Markin V.S. Theory of adsorption of hydrophobic ions in the B.L.M. with reference of their lateral interactions and discreteness of charges,. Biophysics 28 (1983) 61-67
23. Grosberg A.Yu., Nguyen T.T., and Shklovskii B.I. Colloquium: the physics of charge inversion in chemical and biological systems. Rev. Mod. Phys. 74 (2002) 329-345
24. Verwey E.J.W., and Overbeek J.Th.G. Theory of the Stability of Lyophobic Colloids (1948), Elsevier, New York
25. Lekkerkerker H.N.W. Contribution of the electric double layer to the curvature elasticity of charged amphiphilic monolayers. Physika A 159 (1989) 319-328
26. Mitchell D.J., and Ninham B.W. Curvature elasticity of charged membranes. Langmuir 5 (1989) 1121-1123
27. Lekkerkerker H.N.W. The electric contribution to the curvature elastic moduli of charged fluid interfaces. Physika A 167 (1990) 384-394
28. Kralchevsky P.A., Gurkov T.D., and Ivanov I.B. The interfacial bending moment: thermodynamics and contributions of the electrostatic interactions. Colloids and Surf. 56 (1991) 149-176
29. I. Bivas, Electrostatic and mechanical properties of a flat lipid bilayer containing ionic lipids. Possibility for formation of domains with different surface charges, Colloids Surf. A 282-283 (2006) 423-434.
30. Ermakov Yu.A. The determination of the binding site density and association constants for monovalent cation adsorption onto liposomes made from mixtures of zwitterionic and charged lipids. Biochim. Biophys. Acta 1023 (1990) 91-97
31. Winterhalter M., and Helfrich W. Bending elasticity of electrically charged bilayers: coupled monolayers, neutral surfaces, and balancing stresses. J. Chem. Phys. 96 (1992) 327-330
32. Bivas I., and Kozlov M.M. Effect of flexoelectricity on the curvature elasticity of the membrane. Liquid Crystals 8 (1990) 813-817
33. Hristova K., Bivas I., Petrov A.G., and Derzhanski A. Influence of the electric double layers of the membrane on the value of its flexocoefficient. Mol. Cryst. Liquid Cryst. 200 (1991) 71-77
34. Faucon J.-F., Mitov M.D., Méléard P., Bivas I., and Bothorel P. Bending elasticity and thermal fluctuations of lipid membranes. Theoretical and experimental requirements,. J. Phys. (Paris) 50 (1989) 2389-2414
35. Ermakov Yu.A., Yusipovich A.I., Shapovalov V.I., and Sukharev S.I. Elastic properties of lipid membranes in the presence of inorganic blockers of mechanosensitive channels. Biophys. J. 78 (2000) 329A
36. McLaughlin S. The electrostatic properties of membranes. Annu. Rev. Biophys. Biophys. Chem. 18 (1989) 113-136
37. Ermakov Yu.A., Averbakh A.Z., Yusipovich A.I., and Sukharev S. Dipole potentials indicate restructuring of the membrane interface induced by gadolinium and beryllium ions. Biophys. J. 80 (2001) 1851-1862
38. Ermakov Yu.A., and Sokolov V.S. Boundary potentials of bilayer lipid membranes: methods and interpretations. In: Tien H.T., and Ottova A. (Eds). Planar Lipid Bilayers (BLMs) and Their Applications (2003), Elsevier 109-141
39. Smaby J.M., and Brockman H.L. Surface dipole moments of lipids at the argon-water interface. Similarities among glycerol-ester-based lipids,. Biophys. J. 58 (1990) 195-204
40. Brockman H. Dipole potential of lipid membranes. Chem. Phys. Lipids 73 (1994) 57-79
41. Gawrisch K., Ruston D., Zimmerberg J., Parsegian A., Rand R.P., and Fuller N. Membrane dipole potentials, hydration forces, and the ordering of water at membrane surfaces. Biophys. J. 61 (1992) 1213-1223
42. Ermakov Yu.A., and Yusipovich A.I. Boundary potential and tension of planar BLM in the presence of gadolinium. Measurements in the condition of instant perfusion of the cell,. Biologicheskie Membrani 19 (2002) 541-548 (in Russian)
43. Cevc G., Watts A., and Marsh D. Titration of the phase transition of phosphatidylserine membranes. Effects of pH, surface electrostatics, ion binding and head-group hydration. Biochemistry 20 (1981) 4955-4965
44. Cevc G., and Marsh D. Phospholipid Bilayers. Physical Principles and Models, (1987), Wiley-Interscience Publication, New York
45. Cevc G. How membrane chain melting properties are regulated by the polar surface of the lipid bilayer. Biochemistry 26 (1987) 6305-6310
46. Hauser H. Effect of inorganic cations on phase transitions. Chem. Phys. Lipids 57 (1991) 309-325
47. Song J., and Waugh R.E. Bilayer membrane bending stiffness by tether formation from mixed PC-PS lipid vesicles. J. Biomech. Eng. 112 (1990) 235-240
48. Bo L., and Waugh R.E. Determination of bilayer membrane bending stiffness by tether formation from giant, thin-walled vesicles. Biophys. J. 55 (1989) 509-517
49. Shoemaker S.D., and Vanderlick T.K. Intramembrane electrostatic interactions destabilize lipid vesicles. Biophys. J. 83 (2002) 2007-2014
50. Evans E., and Needham D. Physical properties of surfactant bilayer membranes: thermal transitions, elasticity, rigidity, cohesion, and colloidal interactions. J. Phys. Chem. 91 (1987) 4219-4228
51. Rowat A.C., Hansen P.L., and Ipsen J.H. Experimental evidence of the electrostatic contribution to membrane bending rigidity. Europhys. Lett. 67 (2004) 144-149
52. Pincus P., Joanny J.F., and Andelman D. Electrostatic interactions, curvature elasticity, and steric repulsion in multimembrane systems. Europhys. Lett. 11 (1990) 763-768
53. Vitkova V., Genova J., Finogenova O., Mitov M.D., Ermakov Yu., and Bivas I. Surface charge effect on the bending elasticity of lipid bilayers. Compt. rendus Acad. bulg. Sci. 57 11 (2004) 25-30
54. Bivas I., Vitkova V., Mitov M.D., Winterhalter M., Alargova R.G., Meleard P., and Bothorel P. Mechanical properties of lipid bilayers, containing modified lipids. In: Walde P., and Luisi P.-L. (Eds). Giant Vesicles (2000), Wiley, Chichester 207-219
55. May S. Curvature elasticity and thermodynamic stability of electrically charged membranes. J. Chem. Phys. 105 (1996) 8314-8323
56. Lee J.B., Petrov P.G., and Döbereiner H.-G. Curvature of zwitterionic membranes in transverse pH gradients. Langmuir 15 (1999) 8543-8546
57. Chou T., Jarić M.V., and Siggia E.D. Electrostatics of lipid bilayer bending. Biophys. J. 72 (1997) 2042-2055
58. Ha B.-Y. Effect of divalent counterions on asymmetrically charged lipid bilayers. Phys. Rev. E 67 (2003) 030901 R
59. Farago B., and Gradzielski M. The effect of the charge density of microemulsion droplets on the bending elasticity of their amphiphilic film. J. Chem. Phys. 114 (2001) 10105-10122
60. Fuller N., Benatti C.R., and Rand R.P. Curvature bending constants for phosphatidylserine-containing membranes. Biophys. J. 85 (2003) 1667-1674
61. Tsapis N., Ober R., and Urbach W. Modification of elastic constants by charge addition to a nonionic lamellar phase. Langmuir 16 (2000) 2968-2974
62. Petrache H.I., Tristram-Nagle S., Gawrisch K., Harries D., Parsegian V.A., and Nagle J.F. Structure and fluctuations of charged phosphatidylserine bilayers in the absence of salt. Biophys. J. 86 (2004) 1574-1586
63. Oberdisse J., Couve C., Appell J., Berret J.F., Ligoure C., and Porte G. Vesicles and onions from charged surfactant bilayers: a neutron scattering study. Langmuir 12 (1996) 1212-1218
64. Oberdisse J., and Porte G. Size of microvesicles from charged surfactant bilayers: neutron scattering data compared to an electrostatic model. Phys. Rev. E 56 (1997) 1965-1975
65. Oberdisse J. Transition from small to big charged unilamellar vesicles. Eur. Phys. J. B 3 (1998) 463-469
66. Fogden A., Mitchell D.J., and Ninham B.W. Undulations of charged membranes. Langmuir 6 (1990) 159-162
67. Fogden A., and Ninham B.W. The bending modulus of ionic lamellar phases. Langmuir 7 (1991) 590-595
68. Daicic J., Fogden A., Carlsson I., Wennerström H., and Jönsson B. Bending of ionic surfactant monolayers. Phys. Rev. E 54 (1996) 3984-3998
69. Fogden A., Daicic J., Mitchell D.J., and Ninham B.W. Electrostatic rigidity of charged membranes in systems without added salt. Physica A 234 (1996) 167-188
70. Fogden A., Daicic J., and Kidane A. Undulating charged fluid membranes and their bending constants. J. Phys. II (France) 7 (1997) 229-248
71. Fogden A., and Daicic J. Bending rigidity of ionic surfactant interfaces with variable surface charge density: the salt-free case. Colloids Surf. A 129-130 (1997) 157-165
72. Fogden A., Carlsson I., and Daicic J. Beyond the harmonic bending theory of ionic surfactant interfaces. Phys. Rev. E 57 (1998) 5694-5706
73. Fogden A., and Ninham B.W. Electrostatics of curved fluid membranes: the interplay of direct interactions and fluctuations in charged lamellar phases. Adv. Colloid Interf. Sci. 83 (1999) 85-110