Likelihood-enhanced fast translation functions

Acta Crystallogr D Biol Crystallogr. 2005 Apr;61(Pt 4):458-64. doi: 10.1107/S0907444905001617. Epub 2005 Mar 24.


This paper is a companion to a recent paper on fast rotation functions [Storoni et al. (2004), Acta Cryst. D60, 432-438], which showed how a Taylor-series expansion of the maximum-likelihood rotation function leads to improved likelihood-enhanced fast rotation functions. In a similar manner, it is shown here how linear and quadratic Taylor-series expansions and least-squares approximations of the maximum-likelihood translation function lead to likelihood-enhanced translation functions, which can be calculated by FFT and which are more sensitive to the correct translation than the traditional correlation-coefficient fast translation function. These likelihood-enhanced translation targets for molecular-replacement searches have been implemented in the program Phaser using the Computational Crystallography Toolbox (cctbx).

Publication types

  • Research Support, N.I.H., Extramural
  • Research Support, Non-U.S. Gov't
  • Research Support, U.S. Gov't, P.H.S.

MeSH terms

  • Bacterial Proteins / chemistry
  • Crystallography / methods*
  • Elapid Venoms / chemistry
  • Least-Squares Analysis
  • Likelihood Functions*
  • Software
  • beta-Lactamases / chemistry


  • Bacterial Proteins
  • Elapid Venoms
  • beta-lactamase-inhibitor protein, Streptomyces
  • dendrotoxin
  • beta-Lactamases