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Maximum-Entropy and Bayesian Spectral Analysis and Estimation Problems pp 207–228Cite as

Maximum Entropy in Structural Molecular Biology: The Fiber Diffraction Phase Problem

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Part of the book series: Fundamental Theories of Physics ((FTPH,volume 21))

Abstract

The maximum entropy method of image processing is applied to the problem of calculating a map of electron density from its x-ray fiber diffraction pattern. Native and heavy atom derivative data, although insufficient for the usual multiple isomorphous replacement method, are used in combination with a constraint on the maximum particle radius, and with a constraint on the maximum electron density enforced by a “Fermi-Dirac” form of entropy. The problem is illustrated by application to the filamentous bacterial virus Pf1.

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Author information

Authors and Affiliations

  1. European Molecular Biology Laboratory, Meyerhofstrasse 1, 6900, Heidelberg, West Germany

    Richard K. Bryan

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  1. Richard K. Bryan
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Editor information

Editors and Affiliations

  1. U.S. Army Missile Command, Redstone Arsenal, Alabama, USA

    C. Ray Smith

  2. Department of Electrical Engineering, Seattle University, Seattle, Washington, USA

    Gary J. Erickson

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© 1987 D. Reidel Publishing Company

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Bryan, R.K. (1987). Maximum Entropy in Structural Molecular Biology: The Fiber Diffraction Phase Problem. In: Smith, C.R., Erickson, G.J. (eds) Maximum-Entropy and Bayesian Spectral Analysis and Estimation Problems. Fundamental Theories of Physics, vol 21. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-3961-5_12

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  • DOI: https://doi.org/10.1007/978-94-009-3961-5_12

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-8257-0

  • Online ISBN: 978-94-009-3961-5

  • eBook Packages: Springer Book Archive

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