title: Likelihood-enhanced fast translation functions.
abstract: 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).
authors.affiliation: Department of Haematology, University of Cambridge, Cambridge Institute for Medical Research, Wellcome Trust/MRC Building, Hills Road, Cambridge CB2 2XY, England.
authors.forename: Airlie J
authors.initials: AJ
authors.lastname: McCoy
authors.forename: Ralf W
authors.initials: RW
authors.lastname: Grosse-Kunstleve
authors.forename: Laurent C
authors.initials: LC
authors.lastname: Storoni
authors.forename: Randy J
authors.initials: RJ
authors.lastname: Read
mesh_terms: D001426:Bacterial Proteins / Q000737:chemistry; D003461:Crystallography / Q000379:methods*; D004546:Elapid Venoms / Q000737:chemistry; D016018:Least-Squares Analysis; D016013:Likelihood Functions; D012984:Software; D001618:beta-Lactamases / Q000737:chemistry
chemical_list: D001426:Bacterial Proteins; D004546:Elapid Venoms; C065596:beta-lactamase-inhibitor protein, Streptomyces; C020273:dendrotoxin; D001618:beta-Lactamases