Skip to main content
Log in

Disentangling conformational states of macromolecules in 3D-EM through likelihood optimization

  • Brief Communication
  • Published:

From Nature Methods

View current issue Submit your manuscript

Abstract

Although three-dimensional electron microscopy (3D-EM) permits structural characterization of macromolecular assemblies in distinct functional states, the inability to classify projections from structurally heterogeneous samples has severely limited its application. We present a maximum likelihood–based classification method that does not depend on prior knowledge about the structural variability, and demonstrate its effectiveness for two macromolecular assemblies with different types of conformational variability: the Escherichia coli ribosome and Simian virus 40 (SV40) large T-antigen.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Figure 1: Comparison of supervised and maximum-likelihood classifications for the ribosome data set.
Figure 2: Classification of the SV40 large T-antigen data set according to continuously varying bend of the molecule's long axis.

Similar content being viewed by others

References

  1. Frank, J. Three-dimensional Electron Microscopy of Macromolecular Assemblies (Oxford University Press, New York, 2006).

    Book  Google Scholar 

  2. Orlova, E.V. & Saibil, H.R. Curr. Opin. Struct. Biol. 14, 584–590 (2004).

    Article  CAS  Google Scholar 

  3. Heymann, J.B., Conway, J.F. & Steven, A.C. J. Struct. Biol. 147, 291–301 (2004).

    Article  CAS  Google Scholar 

  4. Gao, H., Valle, M., Ehrenberg, M. & Frank, J. J. Struct. Biol. 147, 283–290 (2004).

    Article  CAS  Google Scholar 

  5. Brink, J. et al. Structure 12, 185–191 (2004).

    Article  CAS  Google Scholar 

  6. Rice, J.A. Mathematical Statistics and Data Analysis (Duxbury Press, Belmost, 1995).

    Google Scholar 

  7. Sigworth, F.J. J. Struct. Biol. 122, 328–339 (1998).

    Article  CAS  Google Scholar 

  8. Yin, Z., Zheng, Y., Doerschuk, P.C., Natarajan, P. & Johnson, J.E. J. Struct. Biol. 144, 24–50 (2003).

    Article  Google Scholar 

  9. Scheres, S.H.W. et al. J. Mol. Biol. 348, 139–149 (2005).

    Article  CAS  Google Scholar 

  10. Scheres, S.H.W., Valle, M. & Carazo, J.M. Bioinformatics 21 (Suppl. 2), ii243–ii244 (2005).

    CAS  PubMed  Google Scholar 

  11. Dempster, A.P., Laird, N.M. & Rubin, D.B. J. Royal Statist. Soc. Ser. B 39, 1–38 (1977).

    Google Scholar 

  12. Valle, M. et al. EMBO J. 21, 3557–3567 (2002).

    Article  CAS  Google Scholar 

  13. Sorzano, C.O.S. et al. J. Struct. Biol. 148, 194–204 (2004).

    Article  CAS  Google Scholar 

  14. Gomez-Lorenzo, M.G. et al. EMBO J. 22, 6205–6213 (2003).

    Article  CAS  Google Scholar 

  15. Valle, M. et al. Cell 114, 123–134 (2003).

    Article  CAS  Google Scholar 

Download references

Acknowledgements

We thank the Department of Computer Architecture and Electronics of the University of Almeria, and the Barcelona Supercomputing Center (Centro Nacional de Supercomputación) for providing computing resources, and T. Elfving for his help with weighted least-squares minimization. This work was supported by grants from the European Union (FP6-502828 and EGEE2-031688 to JMC), US National Institutes of Health (HL70472 to G.T.H. and J.M.C., and P41 RR01219 to J.F.), Howard Hughes Medical Institute (to J.F.) and the Spanish Comisión Interministerial de Ciencia y Tecnología (BFU2004-00217 to J.M.C.).

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Jose-Maria Carazo.

Ethics declarations

Competing interests

The authors declare no competing financial interests.

Supplementary information

Supplementary Fig. 1

Preliminary reconstruction of the ribosome dataset.

Supplementary Fig. 2

Likelihood optimization for the ribosome dataset.

Supplementary Fig. 3

Supervised classification of the ribosome dataset.

Supplementary Fig. 4

Likelihood optimization for the large T-antigen dataset.

Supplementary Methods

Supplementary Note

Mathematical background and implementation details.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Scheres, S., Gao, H., Valle, M. et al. Disentangling conformational states of macromolecules in 3D-EM through likelihood optimization. Nat Methods 4, 27–29 (2007). https://doi.org/10.1038/nmeth992

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1038/nmeth992

  • Springer Nature America, Inc.

This article is cited by

Navigation