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

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.

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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.

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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.).

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Correspondence to Jose-Maria Carazo.

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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.

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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

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