Open AccessLikelihood‐enhanced fast translation functions
Author(s) -
McCoy Airlie J.,
GrosseKunstleve Ralf W.,
Storoni Laurent C.,
Read Randy J.
Publication year - 2005
Publication title -
acta crystallographica section d
Language(s) - English
Resource type - Journals
ISSN - 1399-0047
DOI - 10.1107/s0907444905001617
Subject(s) - translation (biology) , taylor series , rotation (mathematics) , likelihood function , maximum likelihood , series (stratigraphy) , algorithm , quadratic equation , function (biology) , restricted maximum likelihood , computer science , toolbox , fast fourier transform , mathematics , statistics , artificial intelligence , mathematical analysis , geometry , paleontology , biochemistry , chemistry , evolutionary biology , biology , messenger rna , gene , programming language
This paper is a companion to a recent paper on fast rotation functions [Storoni et al. (2004), Acta Cryst. D 60 , 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 ).