Automatic recovery of missing amplitudes and phases in tilt-limited electron crystallography of two-dimensional crystals

Bryant R. Gipson, Daniel J. Masiel, Nigel D. Browning, John Spence, Kaoru Mitsuoka, Henning Stahlberg

Research output: Contribution to journalArticle

18 Scopus citations

Abstract

Electron crystallography of 2D protein crystals provides a powerful tool for the determination of membrane protein structure. In this method, data is acquired in the Fourier domain as randomly sampled, uncoupled, amplitudes and phases. Due to physical constraints on specimen tilting, those Fourier data show a vast un-sampled "missing cone" of information, producing resolution loss in the direction perpendicular to the membrane plane. Based on the flexible language of projection onto sets, we provide a full solution for these problems with a projective constraint optimization algorithm that, for sufficiently oversampled data, produces complete recovery of unmeasured data in the missing cone. We apply this method to an experimental data set of Bacteriorhodopsin and show that, in addition to producing superior results compared to traditional reconstruction methods, full, reproducible, recovery of the missing cone from noisy data is possible. Finally, we present an automatic implementation of the refinement routine as open source, freely distributed, software that will be included in our 2dx software package.

Original languageEnglish (US)
Article number011916
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume84
Issue number1
DOIs
StatePublished - Jul 22 2011

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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