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Title: Maximum likelihood density modification by pattern recognition of structural motifs

Patent ·
OSTI ID:1174811

An electron density for a crystallographic structure having protein regions and solvent regions is improved by maximizing the log likelihood of a set of structures factors {F.sub.h } using a local log-likelihood function: (x)+p(.rho.(x).vertline.SOLV)p.sub.SOLV (x)+p(.rho.(x).vertline.H)p.sub.H (x)], where p.sub.PROT (x) is the probability that x is in the protein region, p(.rho.(x).vertline.PROT) is the conditional probability for .rho.(x) given that x is in the protein region, and p.sub.SOLV (x) and p(.rho.(x).vertline.SOLV) are the corresponding quantities for the solvent region, p.sub.H (x) refers to the probability that there is a structural motif at a known location, with a known orientation, in the vicinity of the point x; and p(.rho.(x).vertline.H) is the probability distribution for electron density at this point given that the structural motif actually is present. One appropriate structural motif is a helical structure within the crystallographic structure.

Research Organization:
Los Alamos National Laboratory (LANL), Los Alamos, NM (United States)
Sponsoring Organization:
USDOE
DOE Contract Number:
W-7405-ENG-36
Assignee:
University Of California, The Regents Of
Patent Number(s):
6,721,664
Application Number:
09/769,612
OSTI ID:
1174811
Country of Publication:
United States
Language:
English

References (10)

Holographic methods in X-ray crystallography. IV. A fast algorithm and its application to macromolecular crystallography journal September 1995
A Bayesian statistical theory of the phase problem. I. A multichannel maximum-entropy formalism for constructing generalized joint probability distributions of structure factors journal July 1988
Holographic Methods in X-ray Crystallography. V. Multiple IsomorphousReplacement, Multiple Anomalous Dispersion and Non-crystallographic Symmetry journal May 1997
Maximum entropy and the foundations of direct methods journal July 1984
Simulated annealing for phasing using spatial constraints journal January 1995
Use of Statistical Information in X-ray Crystallography with Application to the Holographic Method journal September 1998
Holographic methods in X-ray crystallography. II. Detailed theory and connection to other methods of crystallography journal November 1993
Holographic methods in X-ray crystallography. III. First numerical results journal November 1993
Improvement of macromolecular electron-density maps by the simultaneous application of real and reciprocal space constraints journal January 1993
Electron-denisty histograms and the phase problem journal January 1993

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