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. 1996 Aug;71(2):648–656. doi: 10.1016/S0006-3495(96)79265-2

Interaction between inclusions embedded in membranes.

H Aranda-Espinoza 1, A Berman 1, N Dan 1, P Pincus 1, S Safran 1
PMCID: PMC1233522  PMID: 8842204

Abstract

We calculate the membrane-induced interaction between inclusions, in terms of the membrane stretching and bending moduli and the spontaneous curvature. We find that the membrane-induced interaction between inclusions varies nonmonotonically as a function of the inclusion spacing. The location of the energy minimum depends on the spontaneous curvature and the membrane perturbation decay length, where the latter is set by the membrane moduli. The membrane perturbation energy increases with the inclusion radius. The Ornstein-Zernike theory, with the Percus-Yevick closure, is used to calculate the radial distribution function of inclusions. We find that when the spontaneous curvature is zero, the interaction between inclusions due to the membrane deformation is qualitatively similar to the hard-core interaction. However, in the case of finite spontaneous curvature, the effective interaction is dramatically modified.

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Selected References

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  1. Bloom M., Evans E., Mouritsen O. G. Physical properties of the fluid lipid-bilayer component of cell membranes: a perspective. Q Rev Biophys. 1991 Aug;24(3):293–397. doi: 10.1017/s0033583500003735. [DOI] [PubMed] [Google Scholar]
  2. Chen Y. S., Hubbell W. L. Temperature- and light-dependent structural changes in rhodopsin-lipid membranes. Exp Eye Res. 1973 Dec 24;17(6):517–532. doi: 10.1016/0014-4835(73)90082-1. [DOI] [PubMed] [Google Scholar]
  3. Elliott J. R., Needham D., Dilger J. P., Haydon D. A. The effects of bilayer thickness and tension on gramicidin single-channel lifetime. Biochim Biophys Acta. 1983 Oct 26;735(1):95–103. doi: 10.1016/0005-2736(83)90264-x. [DOI] [PubMed] [Google Scholar]
  4. Fattal D. R., Ben-Shaul A. A molecular model for lipid-protein interaction in membranes: the role of hydrophobic mismatch. Biophys J. 1993 Nov;65(5):1795–1809. doi: 10.1016/S0006-3495(93)81249-9. [DOI] [PMC free article] [PubMed] [Google Scholar]
  5. Helfrich P., Jakobsson E. Calculation of deformation energies and conformations in lipid membranes containing gramicidin channels. Biophys J. 1990 May;57(5):1075–1084. doi: 10.1016/S0006-3495(90)82625-4. [DOI] [PMC free article] [PubMed] [Google Scholar]
  6. Helfrich W. Elastic properties of lipid bilayers: theory and possible experiments. Z Naturforsch C. 1973 Nov-Dec;28(11):693–703. doi: 10.1515/znc-1973-11-1209. [DOI] [PubMed] [Google Scholar]
  7. Huang H. W. Deformation free energy of bilayer membrane and its effect on gramicidin channel lifetime. Biophys J. 1986 Dec;50(6):1061–1070. doi: 10.1016/S0006-3495(86)83550-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
  8. James R., Branton D. Lipid- and temperature-dependent structural changes in Acholeplasma laidlawii cell membranes. Biochim Biophys Acta. 1973 Oct 25;323(3):378–390. doi: 10.1016/0005-2736(73)90183-1. [DOI] [PubMed] [Google Scholar]
  9. Lewis B. A., Engelman D. M. Bacteriorhodopsin remains dispersed in fluid phospholipid bilayers over a wide range of bilayer thicknesses. J Mol Biol. 1983 May 15;166(2):203–210. doi: 10.1016/s0022-2836(83)80006-0. [DOI] [PubMed] [Google Scholar]
  10. Marcelja S. Lipid-mediated protein interaction in membranes. Biochim Biophys Acta. 1976 Nov 11;455(1):1–7. doi: 10.1016/0005-2736(76)90149-8. [DOI] [PubMed] [Google Scholar]
  11. Netz RR, Pincus P. Inhomogeneous fluid membranes: Segregation, ordering, and effective rigidity. Phys Rev E Stat Phys Plasmas Fluids Relat Interdiscip Topics. 1995 Oct;52(4):4114–4128. doi: 10.1103/physreve.52.4114. [DOI] [PubMed] [Google Scholar]
  12. Owicki J. C., McConnell H. M. Theory of protein-lipid and protein-protein interactions in bilayer membranes. Proc Natl Acad Sci U S A. 1979 Oct;76(10):4750–4754. doi: 10.1073/pnas.76.10.4750. [DOI] [PMC free article] [PubMed] [Google Scholar]
  13. Pearson L. T., Chan S. I., Lewis B. A., Engelman D. M. Pair distribution functions of bacteriorhodopsin and rhodopsin in model bilayers. Biophys J. 1983 Aug;43(2):167–174. doi: 10.1016/S0006-3495(83)84337-9. [DOI] [PMC free article] [PubMed] [Google Scholar]
  14. Pearson L. T., Edelman J., Chan S. I. Statistical mechanics of lipid membranes. Protein correlation functions and lipid ordering. Biophys J. 1984 May;45(5):863–871. doi: 10.1016/S0006-3495(84)84232-0. [DOI] [PMC free article] [PubMed] [Google Scholar]
  15. Sackmann E. The seventh Datta Lecture. Membrane bending energy concept of vesicle- and cell-shapes and shape-transitions. FEBS Lett. 1994 Jun 6;346(1):3–16. doi: 10.1016/0014-5793(94)00484-6. [DOI] [PubMed] [Google Scholar]
  16. Safran S. A., Pincus P., Andelman D. Theory of spontaneous vesicle formation in surfactant mixtures. Science. 1990 Apr 20;248(4953):354–356. doi: 10.1126/science.248.4953.354. [DOI] [PubMed] [Google Scholar]

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