Abstract
Refinement constitutes the last of the three main steps in the crystallographic establishment of a molecular structure, which are fast, crystal growth and data collection; second, phase determination and calculation of electron density maps; and third, model building and refinement. This final part is necessary because the structural models arrived at after the first two steps are approximate and usually contain errors in the tracing of the macromolecular chain. During the crystallographic refinement process, the macromolecular model is changed so that the agreement between the measured diffraction intensities and those calculated improves. This improved agreement between observed and calculated structure factors leads to better phases and, concomitantly, to improved electron density maps. The refinement process is monitored by the conventional crystallographic R factor, defined by the equation:
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Branden, C-I, and Jones, T. A. (1990) Between Objectivity and Subjectivity Nature 343, 687–689
Dunitz, J D (1979) X-Ray Analysis and the Structure of Organic Molecules Cornell University Press, Ithaca
Blundell, T L. and Johnson, L. (1976) Protein Crystallography Academic, London
Waser, J (1963) Least-squares refinement with subsidiary conditions. Acta Cryst 16, 1091–1094
Sussman, J. L. (1985) Constrained-restrained least-squares (CORELS) refinement of proteins and nucleic acids. Methods Enzymol 115, 271–303
Hendrickson, W. A (1985) Stereochemically restrained refinement of macromolecular structures. Methods Enzymol 115, 252–270
Westhof, E., Dumas, P, and Moras, D (1985) Crystallographic refinement of yeast aspartic acid transfer RNA. J Mol. Biol. 184, 119–145.
Westhof, E, Dumas, P, and Moras, D. (1988) Restrained refinement of two crystalline forms of yeast aspartic acid and phenylalanine transfer RNA crystals. Acta Cryst A44, 112–123
Jack, A., and Levitt, M (1978) Refinement of large structures by simultaneous minimization of energy and R factor. Acta Cryst A34, 931–935
Deisenhofer, J, Remington, S J., and Steigemann, W (1985) Experiences with various techniques for the refinement of protein structures. Methods Enzymol 115, 303–323
Brunger, A T, Kuriyan, J, and Karplus, M. (1987) Crystallographic R factor refinement by molecular dynamics. Science 235, 458–460
Brunger, A. T (1988) Crystallographic refinement by simulated annealing. J Mol Biol 203, 803–816
Fujinaga, M., Gros, P, and Van Gunsteren, W F (1989) Testing the method of crystallographic refinement using molecular dynamics. J Appl Cryst 22, 1–8
Jones, T. A (1985) Interactive computer graphics FRODO. Methods Enzymol 115, 157–171
Pflugrath, J W, Saper, M. A., and Quiocho, F. A. (1984) in. Methods and Applications zn Crystallographic Computing (Hall, S and Ashida, T, eds), Oxford University Press, London, pp 404–407
Cambillau, C. and Horjales, E (1987) TOM. a FRODO subpackage for protein-ligand fitting with interactive energy minimization. J Mol Graphics 5, 174–177
Luzzati, V. (1952) Traitement statistique des erreurs dans la determination des structures cristallines. Acta Cyst 5, 802–810
Rees, D., Bilwes, A, Samama, J P., and Moras, D. (1990) Cardiotoxin VII4 from Najka mossambica. The refined crystal structure. J Mol Biol 214, 281–297.
Read, R. (1990) Structure-factor probabilities for related structures. Acta Cryst A46, 900–912
Westhof, E (1987) Re-refinement of the B-dodecamer d(CGCGAATTCGCG) with a comparative analysis of the solvent in it and in the Z-hexamer d(5BrCGSBrCGSBrCG). J Biomol Struct Dyn 5, 581–600
Yu, H, Karplus, M., and Hendrickson, W. A. (1985) Restraints in temperature factor refinement for macromolecules: an evaluation by molecular dynamics. Acta Cryst. B41, 191–201.
Westhof, E, Chevrier, B, Gallion, S. L, Weiner, P K, and Levy, R. M. (1986) Temperature-dependent molecular dynamics and restrained X-ray refinement simulations of a Z-DNA hexamer. J Mol. Biol 191, 699–712
Kennard, O, Cruse, W T B, Nachman, J., Prangé, T, Shakked, Z, and Rabinovich, D (1986) Ordered water structure in an A-DNA octamer at 1 7 Å resolution. J Biomol Struct Dynamics 3, 623–647
Savage, H. and Wlodawer, A (1986) Determination of water structure around biomolecules using X-Ray and neutron diffraction methods. Methods Enzymol 127, 162–183
Westhof, E (1988) Water An integral part of nucleic acid structure. Ann Rev Biophys Biophys 17, 125–144
Richards, F M (1968) The matching of physical models to 3-dimensional electron density maps a simple optical device. J Mol Biol 37, 225–230
Bush, B L (1984) Interactive modeling of enzyme-inhibitor complexes at Merck macromolecular modeling graphics facility. Comput Chem 8, 1–6
FRODO from MRC (Cambridge, GB) by Phil Evans. FRODO from IBMC (Strasbourg, France) with some nucleic acids specificity by B Amerein, M Bergdoll, P Dumas, R Ripp FRODO from EMBL (Heidelberg, RFA) by C Carlsson, H Bosshard
Jones, T A and Thirup, S (1986) Using known substructures in protein model building and crystallography. EMBO J 5, 819–822
Jones, T A, Zou, J Y, Cowan, S W, and Kjeldgaard, M (1991) Improved methods for the building of protein models in electron density maps and the location of errors in these models. Acta Cyst A47, 110–119
Greer, J (1974) 3D pattern recognition. an approach to automated interpretation of electron density maps of proteins. J Mol Biol 82, 279–302
Richardson, J (1981) The anatomy and taxonomy of protein structure. Adv Prot Chem 34, 167–339
Amerein, B, Ripp, R., and Dumas, P (1987) PUCK a real-time modification of sugar pucker on a PS300. J Mol. Graphics 5, 184–189.
Kim, Y, Grable, J C, Love, R, Greene, P. J., and Rosenberg, J. M (1990) Refinement of EcoRI endonuclease crystal structure. a revised protein chain tracing. Science 249, 1307–1309
Janin, J (1990) Errors in three dimensions. Biochimie 72, 705–709.
Holm, L. and Sander, C (1991) Database algorithm for generating protein backbone and side-chain co-ordinates from a C-alpha trace Application to model building and detection of co-ordinate errors. J Mol Biol 218, 183–194
Tuffery, P, Etchebest, C., Hazout, S, and Lavery, R (1991) A new approach to the rapid determination of protein side chain conformations. J Biomol Struct Dynamics 8, 1267–1289
Abad-Zapatero, C, Griffith, J P, Sussmann, J L, and Rossmann, M G (1987) Refined crystal structure of dogfish M4 apo-lactate dehydrogenase. J Mol Biol 198, 445–467.
Brunger, A (1992) Free R value a novel statistical quantity for assessing the accuracy of crystal structures. Nature 355, 472–475
Story, R M., Weber, I T, and Steitz, T. A (1992) The structure of the E co1i recA protein monomer and polymer. Nature 355, 318–325
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Westhof, E., Dumas, P. (1996). Refinement of Protein and Nucleic Acid Structures. In: Jones, C., Mulloy, B., Sanderson, M.R. (eds) Crystallographic Methods and Protocols. Methods in Molecular Biology™, vol 56. Humana Press. https://doi.org/10.1385/0-89603-259-0:227
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DOI: https://doi.org/10.1385/0-89603-259-0:227
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