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Title: Reconstruction of a yeast cell from x-ray diffraction data

Journal Article · · Acta Crystallographica. Section A, Foundations of Crystallography
 [1];  [1];  [2];  [3];  [3]
  1. Cornell Univ., Ithaca, NY (United States)
  2. Stony Brook Univ., Stony Brook, NY (United States); Brookhaven National Lab., Upton, NY (United States)
  3. Stony Brook Univ., Stony Brook, NY (United States)

We provide details of the algorithm used for the reconstruction of yeast cell images in the recent demonstration of diffraction microscopy by Shapiro, Thibault, Beetz, Elser, Howells, Jacobsen, Kirz, Lima, Miao, Nieman & Sayre. Two refinements of the iterative constraint-based scheme are developed to address the current experimental realities of this imaging technique, which include missing central data and noise. A constrained power operator is defined whose eigenmodes allow the identification of a small number of degrees of freedom in the reconstruction that are negligibly constrained as a result of the missing data. To achieve reproducibility in the algorithm's output, a special intervention is required for these modes. Weak incompatibility of the constraints caused by noise in both direct and Fourier space leads to residual phase fluctuations. This problem is addressed by supplementing the algorithm with an averaging method. The effect of averaging may be interpreted in terms of an effective modulation transfer function, as used in optics, to quantify the resolution. The reconstruction details are prefaced with simulations of wave propagation through a model yeast cell. These show that the yeast cell is a strong-phase-contrast object for the conditions in the experiment.

Research Organization:
Stony Brook Univ., NY (United States)
Sponsoring Organization:
USDOE Office of Science (SC), Basic Energy Sciences (BES)
Grant/Contract Number:
FG02-04ER46128
OSTI ID:
1164140
Journal Information:
Acta Crystallographica. Section A, Foundations of Crystallography, Vol. 62, Issue 4; ISSN 0108-7673
Publisher:
International Union of CrystallographyCopyright Statement
Country of Publication:
United States
Language:
English
Citation Metrics:
Cited by: 123 works
Citation information provided by
Web of Science

Cited By (24)

Quantum Crystallography: Current Developments and Future Perspectives journal July 2018
X-ray Microscopy book January 2019
Single mimivirus particles intercepted and imaged with an X-ray laser journal February 2011
Direct single-shot phase retrieval from the diffraction pattern of separated objects journal February 2016
High-throughput imaging of heterogeneous cell organelles with an X-ray laser journal November 2014
X-ray nanotomography of coccolithophores reveals that coccolith mass and segment number correlate with grid size journal February 2019
X-ray ptychographic and fluorescence microscopy of frozen-hydrated cells using continuous scanning journal March 2017
Invited Article: A unified evaluation of iterative projection algorithms for phase retrieval journal January 2007
Quantitative biological imaging by ptychographic x-ray diffraction microscopy journal December 2009
Coherent and transient states studied with extreme ultraviolet and X-ray free electron lasers: present and future prospects journal April 2015
Coherent diffractive imaging using short wavelength light sources journal July 2010
A computational framework for ptychographic reconstructions journal December 2016
Multi-wavelength Bragg coherent X-ray diffraction imaging of Au particles journal February 2020
Refinement for single-nanoparticle structure determination from low-quality single-shot coherent diffraction data journal January 2020
Mask-based approach to phasing of single-particle diffraction data journal January 2016
Fresnel coherent diffraction tomography journal January 2010
Recording oscillations of sub-micron size cantilevers by extreme ultraviolet Fourier transform holography journal January 2014
Using convex optimization of autocorrelation with constrained support and windowing for improved phase retrieval accuracy journal January 2018
Ab initio phasing of the diffraction of crystals with translational disorder text January 2019
Toward unsupervised single-shot diffractive imaging of heterogeneous particles using X-ray free-electron lasers text January 2013
Coherent x-ray imaging of defects in colloidal crystals text January 2010
Quantum Crystallography: Current Developments and Future Perspectives text January 2018
X-ray microscopy journal July 1965
Using Convex Optimization of Autocorrelation with Constrained Support and Windowing for Improved Phase Retrieval Accuracy text January 2018

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