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Matematicheskaya Biologiya i Bioinformatika, 2015, Volume 10, Issue 2, Pages 508–525
DOI: https://doi.org/10.17537/2015.10.508
(Mi mbb241)
 

This article is cited in 5 scientific papers (total in 5 papers)

Mathematical Modeling

The use of connected masks for reconstructing the single particle image from X-ray diffraction data. II. The dependence of the accuracy of the solution on the sampling step of experimental data

N. L. Luninaa, T. E. Petrovaa, A. G. Urzhumtsevbc, V. Yu. Lunina

a Institute of Mathematical Problems of Biology, Pushchino, Moscow Region, Russia
b Institut de Génétique et Biologie Moléculaire et Cellulaire, Illkirch, France
c Université de Lorraine, Vandoeuvre-lès-Nancy, France
References:
Abstract: Advances in the methodology of the X-ray diffraction experiments leads to a possibility to register the rays scattered by large isolated biological particles (viruses and individual cells) but not only by crystalline samples. The experiment with an isolated particle provides researchers with the intensities of the scattered rays for the continuous spectrum of scattering vectors. Such experiment gives much more experimental data than an experiment with a crystalline sample where the information is limited to a set of Bragg reflections. This opens up additional opportunities in solving underlying problem of X-ray crystallography, namely, calculating phase values for the scattered waves needed to restore the structure of the object under study. In practice, the original continuous diffraction pattern is sampled, reduced to the values at grid points in the space of scattering vectors (in the reciprocal space). The sampling step determines the amount of the information involved in solving the phase problem and the complexity of the necessary calculations. In this paper, we investigate the effect of the sampling step on the accuracy of the phase problem solution obtained by the method proposed earlier by the authors. It is shown that an expected improvement of the accuracy of the solution with the reducing the sampling step continues even after crossing the Nyquist limit defined as the inverse of the double size of the object under study.
Key words: X-ray crystallography, phase problem, XFEL, single particle diffraction.
Funding agency Grant number
Russian Foundation for Basic Research 13-04-00118_а
Received 24.11.2015, Published 03.12.2015
Document Type: Article
UDC: 577.3
Language: Russian
Citation: N. L. Lunina, T. E. Petrova, A. G. Urzhumtsev, V. Yu. Lunin, “The use of connected masks for reconstructing the single particle image from X-ray diffraction data. II. The dependence of the accuracy of the solution on the sampling step of experimental data”, Mat. Biolog. Bioinform., 10:2 (2015), 508–525
Citation in format AMSBIB
\Bibitem{LunPetUrz15}
\by N.~L.~Lunina, T.~E.~Petrova, A.~G.~Urzhumtsev, V.~Yu.~Lunin
\paper The use of connected masks for reconstructing the single particle image from X-ray diffraction data. II. The dependence of the accuracy of the solution on the sampling step of experimental data
\jour Mat. Biolog. Bioinform.
\yr 2015
\vol 10
\issue 2
\pages 508--525
\mathnet{http://mi.mathnet.ru/mbb241}
\crossref{https://doi.org/10.17537/2015.10.508}
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  • https://www.mathnet.ru/eng/mbb/v10/i2/p508
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    This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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