Skip to main content

Thank you for visiting nature.com. You are using a browser version with limited support for CSS. To obtain the best experience, we recommend you use a more up to date browser (or turn off compatibility mode in Internet Explorer). In the meantime, to ensure continued support, we are displaying the site without styles and JavaScript.

  • Letter
  • Published:

Aggregation and vesiculation of membrane proteins by curvature-mediated interactions

Abstract

Membrane remodelling1,2,3,4,5 plays an important role in cellular tasks such as endocytosis, vesiculation and protein sorting, and in the biogenesis of organelles such as the endoplasmic reticulum or the Golgi apparatus. It is well established that the remodelling process is aided by specialized proteins that can sense4 as well as create6 membrane curvature, and trigger tubulation7,8,9 when added to synthetic liposomes. Because the energy needed for such large-scale changes in membrane geometry significantly exceeds the binding energy between individual proteins and between protein and membrane, cooperative action is essential. It has recently been suggested10,11 that curvature-mediated attractive interactions could aid cooperation and complement the effects of specific binding events on membrane remodelling. But it is difficult to experimentally isolate curvature-mediated interactions from direct attractions between proteins. Moreover, approximate theories predict repulsion between isotropically curving proteins12,13,14,15. Here we use coarse-grained membrane simulations to show that curvature-inducing model proteins adsorbed on lipid bilayer membranes can experience attractive interactions that arise purely as a result of membrane curvature. We find that once a minimal local bending is realized, the effect robustly drives protein cluster formation and subsequent transformation into vesicles with radii that correlate with the local curvature imprint. Owing to its universal nature, curvature-mediated attraction can operate even between proteins lacking any specific interactions, such as newly synthesized and still immature membrane proteins in the endoplasmic reticulum.

This is a preview of subscription content, access via your institution

Access options

Buy this article

Prices may be subject to local taxes which are calculated during checkout

Figure 1: Illustration of the individual entities used in the simulation.
Figure 2: Successive stages of a vesiculation event driven by 36 large caps on a membrane containing 46,080 lipids.
Figure 3: Attraction and cooperative budding driven by 16 capsids on a membrane containing 40,960 lipids.
Figure 4: Force versus distance for two capsids.

Similar content being viewed by others

References

  1. Bannykh, S. I. & Balch, W. E. Membrane dynamics at the endoplasmic reticulum-Golgi interface. J. Cell Biol. 138, 1–4 (1997)

    Article  CAS  Google Scholar 

  2. Lippincott-Schwartz, J., Roberts, T. H. & Hirschberg, K. Secretory protein trafficking and organelle dynamics in living cells. Annu. Rev. Cell Dev. Biol. 16, 557–589 (2000)

    Article  CAS  Google Scholar 

  3. McMahon, H. T. & Gallop, J. L. Membrane curvature and mechanisms of dynamic cell membrane remodelling. Nature 438, 590–596 (2005)

    Article  ADS  CAS  Google Scholar 

  4. Vogel, V. & Sheetz, M. Local force and geometry sensing regulate cell functions. Nature Rev. Mol. Cell Biol. 7, 265–275 (2006)

    Article  CAS  Google Scholar 

  5. Voeltz, G. K., Prinz, W. A., Shibata, Y., Rist, J. M. & Rapoport, T. A. A class of membrane proteins shaping the tubular endoplasmic reticulum. Cell 124, 573–586 (2006)

    Article  CAS  Google Scholar 

  6. Zimmerberg, J. & Kozlov, M. M. How proteins produce cellular membrane curvature. Nature Rev. Mol. Cell Biol. 7, 9–19 (2006)

    Article  CAS  Google Scholar 

  7. Takei, K., Slepnev, V. I., Hauke, V. & De Camilli, P. Functional partnership between amphiphysin and dynamin in clathrin-mediated endocytosis. Nature Cell Biol. 1, 33–39 (1999)

    Article  CAS  Google Scholar 

  8. Farsad, K. et al. Generation of high curvature membranes mediated by direct endophilin bilayer interactions. J. Cell Biol. 155, 193–200 (2001)

    Article  CAS  Google Scholar 

  9. Itoh, T. et al. Dynamin and the actin cytoskeleton cooperatively regulate plasma membrane invagination by BAR and F-BAR proteins. Dev. Cell 9, 791–804 (2005)

    Article  CAS  Google Scholar 

  10. Blood, P. D. & Voth, G. A. Direct observation of Bin/amphiphysin/Rvs (BAR) domain-induced membrane curvature by means of molecular dynamics simulations. Proc. Natl Acad. Sci. USA 103, 15068–15072 (2006)

    Article  ADS  CAS  Google Scholar 

  11. Antonny, B. Membrane deformation by protein coats. Curr. Opin. Cell Biol. 18, 386–394 (2006)

    Article  CAS  Google Scholar 

  12. Goulian, M., Bruinsma, R. & Pincus, P. Long-range forces in heterogeneous fluid membranes. Europhys. Lett. 22, 145–150 (1993)

    Article  ADS  CAS  Google Scholar 

  13. Weikl, T. R., Kozlov, M. M. & Helfrich, W. Interaction of conical membrane inclusions: Effect of lateral tension. Phys. Rev. E 57, 6988–6995 (1998)

    Article  ADS  CAS  Google Scholar 

  14. Bartolo, D. & Fournier, J.-B. Elastic interaction between “hard” or “soft” pointwise inclusions on biological membranes. Eur. Phys. J. E 11, 141–146 (2003)

    Article  CAS  Google Scholar 

  15. Kim, K. S., Neu, J. & Oster, G. Curvature-mediated interactions between membrane proteins. Biophys. J. 75, 2274–2291 (1998)

    Article  CAS  Google Scholar 

  16. Helfrich, W. Elastic properties of lipid bilayers — Theory and possible experiments. Z. Naturforsch. C 28, 693–703 (1973)

    Article  CAS  Google Scholar 

  17. Zimmerberg, J. & McLaughlin, S. Membrane curvature: How BAR domains bend bilayers. Curr. Biol. 14, R250–R252 (2004)

    Article  CAS  Google Scholar 

  18. Koltover, I., Rädler, J. O. & Safinya, C. R. Membrane mediated attraction and ordered aggregation of colloidal particles bound to giant phospholipid vesicles. Phys. Rev. Lett. 82, 1991–1994 (1999)

    Article  ADS  CAS  Google Scholar 

  19. Chou, T., Kim, K. S. & Oster, G. Statistical thermodynamics of membrane bending-mediated protein-protein attractions. Biophys. J. 80, 1075–1087 (2001)

    Article  CAS  Google Scholar 

  20. Fournier, J.-B., Dommersnes, P. G. & Galatola, P. Dynamin recruitment by clathrin coats: A physical step? C. R. Biol. 326, 467–476 (2003)

    Article  CAS  Google Scholar 

  21. Cooke, I. R., Kremer, K. & Deserno, M. Tunable generic model for fluid bilayer membranes. Phys. Rev. E 72, 011506 (2005)

    Article  ADS  Google Scholar 

  22. Müller, M., Katsov, K. & Schick, M. Biological and synthetic membranes: What can be learned from a coarse-grained description? Phys. Rep. 434, 113–176 (2006)

    Article  ADS  Google Scholar 

  23. Venturoli, M., Sperotto, M. M., Kranenburg, M. & Smit, B. Mesoscopic models of biological membranes. Phys. Rep. 437, 1–54 (2006)

    Article  ADS  CAS  Google Scholar 

  24. Brannigan, G., Lin, L. C.-L. & Brown, F. L. H. Implicit solvent simulations for biomembranes. Eur. Biophys. J. 35, 104–124 (2006)

    Article  CAS  Google Scholar 

  25. Harmandaris, V. A. & Deserno, M. A novel method for measuring the bending rigidity of model lipid membranes by simulating tethers. J. Chem. Phys. 125, 204905 (2006)

    Article  ADS  Google Scholar 

  26. Goulding, D. & Hansen, J.-P. Attraction between like-charged colloidal particles induced by a surface: A density functional analysis. Europhys. Lett. 46, 407–413 (1999)

    Article  ADS  CAS  Google Scholar 

  27. Müller, M. M., Deserno, M. & Guven, J. Interface mediated interactions between particles — a geometrical approach. Phys. Rev. E 72, 061407 (2005)

    Article  ADS  MathSciNet  Google Scholar 

  28. Gottwein, E. et al. The Mason-Pfizer monkey virus PPPY and PSAP motifs both contribute to virus release. J. Virol. 77, 9474–9485 (2003)

    Article  CAS  Google Scholar 

  29. Müller, M. M., Deserno, M. & Guven, J. Geometry of surface mediated interactions. Europhys. Lett. 69, 482–488 (2005)

    Article  ADS  Google Scholar 

Download references

Acknowledgements

We enjoyed discussions with I. R. Cooke, Ch. Peter, E.-K. Sinner, J. Guven, H.-G. Kräusslich and all members of the ESPResSo team at the MPI-P. B.J.R. acknowledges financial support from the collaborative research centre ‘From single molecules to nanoscopically structured materials’ and M.D. from an Emmy Noether fellowship, both of the Deutsche Forschungsgemeinschaft. A grant for computer time within the DEISA programme is also acknowledged.

Author information

Authors and Affiliations

Authors

Corresponding authors

Correspondence to Kurt Kremer or Markus Deserno.

Ethics declarations

Competing interests

Reprints and permissions information is available at www.nature.com/reprints. The authors declare no competing financial interests.

Supplementary information

Supplementary Information

This file contains Supplementary Methods, Supplementary Discussion, Supplementary Figure 1 illustrating the pair-correlation function of the small and large caps, Supplementary Table 1 presenting parameters of non-bonded interactions, Supplementary Videos Legends and additional references. (PDF 400 kb)

Supplementary Video 1

This file contains Supplementary Video 1 which shows vesiculation event driven by 36 large caps (see Figure 1) on a membrane containing 46 080 lipids. First, only membrane fluctuations and clustering of the caps are visible, then after 40 000 ζ a large protein aggregate buckles the membrane and the formation of a bud is observed. The movie length is 70 700 ζ ˜ 1 ms. (MOV 12408 kb)

Supplementary Video 2

This file contains Supplementary Video 2 which shows vesiculation event driven by 36 extra large caps on a membrane containing 46 080 lipids. The caps are constructed from two layers of 106 particles which is about twice the number as the large caps in Movie S1. Aggregation of the caps into small buds can be seen. At the end of the movie, the membrane is peeled away so that the buds can be clearly seen. The movie length is 16 700 ζ ˜ 0.25 ms. (MOV 9150 kb)

Supplementary Video 3

This file contains Supplementary Video 3 which shows cooperative budding driven by 16 capsids on a membrane containing 40 960 lipids. The formation of capsid pairs is seen, followed by the budding of clusters of 3 or 4 capsids. At the end of the movie the membrane is peeled away so that the buds can be clearly seen. The movie length is 39 800 ζ ˜ 0.6 ms. (MOV 24184 kb)

Rights and permissions

Reprints and permissions

About this article

Cite this article

Reynwar, B., Illya, G., Harmandaris, V. et al. Aggregation and vesiculation of membrane proteins by curvature-mediated interactions. Nature 447, 461–464 (2007). https://doi.org/10.1038/nature05840

Download citation

  • Received:

  • Accepted:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nature05840

This article is cited by

Comments

By submitting a comment you agree to abide by our Terms and Community Guidelines. If you find something abusive or that does not comply with our terms or guidelines please flag it as inappropriate.

Search

Quick links

Nature Briefing

Sign up for the Nature Briefing newsletter — what matters in science, free to your inbox daily.

Get the most important science stories of the day, free in your inbox. Sign up for Nature Briefing