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Title: Reconstruction from limited single-particle diffraction data via simultaneous determination of state, orientation, intensity, and phase

Free-electron lasers now have the ability to collect X-ray diffraction patterns from individual molecules; however, each sample is delivered at unknown orientation and may be in one of several conformational states, each with a different molecular structure. Hit rates are often low, typically around 0.1%, limiting the number of useful images that can be collected. Determining accurate structural information requires classifying and orienting each image, accurately assembling them into a 3D diffraction intensity function, and determining missing phase information. Additionally, single particles typically scatter very few photons, leading to high image noise levels. We develop a multitiered iterative phasing algorithm to reconstruct structural information from singleparticle diffraction data by simultaneously determining the states, orientations, intensities, phases, and underlying structure in a single iterative procedure. We leverage real-space constraints on the structure to help guide optimization and reconstruct underlying structure from very few images with excellent global convergence properties. We show that this approach can determine structural resolution beyond what is suggested by standard Shannon sampling arguments for ideal images and is also robust to noise.
Authors:
 [1] ;  [2] ;  [3]
  1. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Dept. of Applied Mathematics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Center for Advanced Mathematics for Energy Research Applications
  2. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Dept. of Applied Mathematics; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Center for Advanced Mathematics for Energy Research Applications; Univ. of California, Berkeley, CA (United States). Dept. of Mathematics
  3. Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Center for Advanced Mathematics for Energy Research Applications; Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States). Molecular Biophysics and Integrated Bioimaging Division
Publication Date:
Grant/Contract Number:
AC02-05CH11231
Type:
Published Article
Journal Name:
Proceedings of the National Academy of Sciences of the United States of America
Additional Journal Information:
Journal Volume: 114; Journal Issue: 28; Journal ID: ISSN 0027-8424
Publisher:
National Academy of Sciences, Washington, DC (United States)
Research Org:
Lawrence Berkeley National Lab. (LBNL), Berkeley, CA (United States)
Sponsoring Org:
USDOE Office of Science (SC), Advanced Scientific Computing Research (ASCR) (SC-21); National Institutes of Health (NIH)
Country of Publication:
United States
Language:
English
Subject:
97 MATHEMATICS AND COMPUTING; structure determination; multitiered iterative phasing; single-particle imaging
OSTI Identifier:
1366768
Alternate Identifier(s):
OSTI ID: 1379908