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Volumn 46, Issue 2, 1999, Pages 117-129

Maximum entropy methods in electron crystallography

Author keywords

Direct methods; Electron microscopy; Entropy maximisation; Inorganic molecules; Likelihood; Membrane proteins; Organic molecules; Surfaces structures

Indexed keywords

BIOLOGICAL MEMBRANES; CRYSTAL STRUCTURE; MOLECULES; PROTEINS; SURFACE STRUCTURE;

EID: 0033566060     PISSN: 1059910X     EISSN: None     Source Type: Journal    
DOI: 10.1002/(SICI)1097-0029(19990715)46:2<117::AID-JEMT5>3.0.CO;2-Q     Document Type: Article
Times cited : (10)

References (54)
  • 2
    • 0024278917 scopus 로고
    • Images of purple membrane at 2.8Å resolution obtained by cryo-electron microscopy
    • Baldwin JM, Henderson R, Beckman E, Zemlin F. 1988. Images of purple membrane at 2.8Å resolution obtained by cryo-electron microscopy. J Mol Biol 202:585-591.
    • (1988) J Mol Biol , vol.202 , pp. 585-591
    • Baldwin, J.M.1    Henderson, R.2    Beckman, E.3    Zemlin, F.4
  • 4
    • 84944818276 scopus 로고
    • Maximum entropy and the foundations of direct methods
    • Bricogne G. 1984. Maximum entropy and the foundations of direct methods. Acta Crystallogr A40:410-445.
    • (1984) Acta Crystallogr , vol.A40 , pp. 410-445
    • Bricogne, G.1
  • 5
    • 14344270592 scopus 로고
    • A Bayesian statistical theory of the phase problem. I. A multichannel maximum entropy formalism for constructing generalized joint probability distributions of structure factors
    • Bricogne G. 1988a. A Bayesian statistical theory of the phase problem. I. A multichannel maximum entropy formalism for constructing generalized joint probability distributions of structure factors. Acta Crystallogr A44:517-545.
    • (1988) Acta Crystallogr , vol.A44 , pp. 517-545
    • Bricogne, G.1
  • 6
    • 2842553150 scopus 로고
    • Maximum entropy methods in the cryatallographic phase problem
    • Isaacs NW, Taylor MR, editors. Oxford: Clarendon Press
    • Bricogne G. 1988b. Maximum entropy methods in the cryatallographic phase problem. In: Isaacs NW, Taylor MR, editors. Crystallographic computing 4. Oxford: Clarendon Press. 60-79.
    • (1988) Crystallographic Computing , vol.4 , pp. 60-79
    • Bricogne, G.1
  • 7
    • 0000801550 scopus 로고
    • A multisolution method of phase determination by combined maximisation of entropy and likelihood. III Extension to powder diffraction data
    • Bricogne G. 1991a. A multisolution method of phase determination by combined maximisation of entropy and likelihood. III Extension to powder diffraction data. Acta Crystallogr A47:803-829.
    • (1991) Acta Crystallogr , vol.A47 , pp. 803-829
    • Bricogne, G.1
  • 8
    • 0039719131 scopus 로고
    • Maximum entropy as a common statistical basis for all phase determination methods
    • Moras D, Podjarny AD, Thierry JC, editors. Oxford: Oxford University Press
    • Bricogne G. 1991b. Maximum entropy as a common statistical basis for all phase determination methods. In: Moras D, Podjarny AD, Thierry JC, editors. Crystallographic computing 5: from chemistry to biology. Oxford: Oxford University Press. p 257-297.
    • (1991) Crystallographic Computing 5: From Chemistry to Biology , vol.5 , pp. 257-297
    • Bricogne, G.1
  • 9
    • 0003156837 scopus 로고
    • The X-ray crystallographic phase problem
    • Buck B, Macaulay VA, editors. Oxford: Oxford University Press
    • Bricogne G. 1991c. The X-ray crystallographic phase problem. In: Buck B, Macaulay VA, editors. Maximum entropy in action. Oxford: Oxford University Press. p 187-216.
    • (1991) Maximum Entropy in Action , pp. 187-216
    • Bricogne, G.1
  • 10
    • 0001936036 scopus 로고
    • Direct phase determination by entropy maximisation and likelihood ranking: Status report and perspectives
    • Bricogne G. 1993. Direct phase determination by entropy maximisation and likelihood ranking: status report and perspectives. Acta Crystallogr D49:37-60.
    • (1993) Acta Crystallogr , vol.D49 , pp. 37-60
    • Bricogne, G.1
  • 11
    • 0031045642 scopus 로고    scopus 로고
    • Efficient sampling methods for combinations of signs, phases, hyperphases and molecular orientations
    • Bricogne G. 1997b. Efficient sampling methods for combinations of signs, phases, hyperphases and molecular orientations. Methods Enzymol 276:424-448.
    • (1997) Methods Enzymol , vol.276 , pp. 424-448
    • Bricogne, G.1
  • 12
    • 84944813822 scopus 로고
    • A multisolution method of phase determination by combined maximisation of entropy and likelihood. I. Theory, algorithms and strategy
    • Bricogne G, Gilmore CJ. 1990. A multisolution method of phase determination by combined maximisation of entropy and likelihood. I. Theory, algorithms and strategy. Acta Crystallogr A46:284-297.
    • (1990) Acta Crystallogr , vol.A46 , pp. 284-297
    • Bricogne, G.1    Gilmore, C.J.2
  • 13
    • 0025734234 scopus 로고
    • Structural analysis of two-dimensional arrays of cholera toxin B-subunit
    • Brisson A, Moser J. 1991. Structural analysis of two-dimensional arrays of cholera toxin B-subunit. J Elect Microsc Tech 18:387-394.
    • (1991) J Elect Microsc Tech , vol.18 , pp. 387-394
    • Brisson, A.1    Moser, J.2
  • 14
    • 0001252885 scopus 로고
    • Structure analysis of single crystals by electron diffraction II disordered boric acid structure
    • Cowley JM. 1953. Structure analysis of single crystals by electron diffraction II Disordered boric acid structure. Acta Crystallogr 6:522-527.
    • (1953) Acta Crystallogr , vol.6 , pp. 522-527
    • Cowley, J.M.1
  • 15
    • 0031058188 scopus 로고    scopus 로고
    • Maximum likelihood heavy atom parameter refinement for multiple isomorphous replacement and multiwavelength anomalous diffraction methods
    • de la Fortelle E, Bricogne G. 1997. Maximum likelihood heavy atom parameter refinement for multiple isomorphous replacement and multiwavelength anomalous diffraction methods. Methods Enzymol 276:472-494.
    • (1997) Methods Enzymol , vol.276 , pp. 472-494
    • De La Fortelle, E.1    Bricogne, G.2
  • 17
    • 0026244998 scopus 로고
    • Is electron crystallography possible? The direct determination of organic crystal structures
    • Dorset DL. 1991a. Is electron crystallography possible? The direct determination of organic crystal structures. Ultramicroscopy 38: 23-40.
    • (1991) Ultramicroscopy , vol.38 , pp. 23-40
    • Dorset, D.L.1
  • 18
    • 0000423013 scopus 로고
    • Electron diffraction structure analysis of diketopiperazine - A direct phase determination
    • Dorset DL. 1991b. Electron diffraction structure analysis of diketopiperazine - a direct phase determination. Acta Crystallogr A47:510-515.
    • (1991) Acta Crystallogr , vol.A47 , pp. 510-515
    • Dorset, D.L.1
  • 19
    • 0025953695 scopus 로고
    • Electron crystallography of linear polymers: Direct structure analysis of poly(∈-caprolactone)
    • Dorset DL. 1991c. Electron crystallography of linear polymers: direct structure analysis of poly(∈-caprolactone). Proc Natl Acad Sci USA 88:5499-5502.
    • (1991) Proc Natl Acad Sci USA , vol.88 , pp. 5499-5502
    • Dorset, D.L.1
  • 20
    • 0344183137 scopus 로고
    • Direct phasing methods in electron crystallography
    • Dorset DL. 1993. Direct phasing methods in electron crystallography. MSA Bull 23:99-108.
    • (1993) MSA Bull , vol.23 , pp. 99-108
    • Dorset, D.L.1
  • 22
    • 0000149751 scopus 로고    scopus 로고
    • Electron crystallography
    • Dorset DL. 1996a. Electron crystallography. Acta Crystallogr B52:753-769.
    • (1996) Acta Crystallogr , vol.B52 , pp. 753-769
    • Dorset, D.L.1
  • 23
    • 0542431380 scopus 로고    scopus 로고
    • Direct phasing in protein crystallography - Phase extension and the prospects for ab initio determinations
    • Dorset DL. 1996b. Direct phasing in protein crystallography - Phase extension and the prospects for ab initio determinations. Acta Crystallogr A52:480-489.
    • (1996) Acta Crystallogr , vol.A52 , pp. 480-489
    • Dorset, D.L.1
  • 24
    • 0000903705 scopus 로고    scopus 로고
    • Direct determination of the modulated lamellar ripple phase of hydrated lecithin
    • Dorset DL, Gilmore CJ. 1998. Direct determination of the modulated lamellar ripple phase of hydrated lecithin. Z Krist 213:432-435.
    • (1998) Z Krist , vol.213 , pp. 432-435
    • Dorset, D.L.1    Gilmore, C.J.2
  • 27
    • 0039654346 scopus 로고
    • Maximum entropy, likelihood ranking and the phase problem in single crystal, powder diffraction and electron microscopy
    • Flack HD, Párkányi L, Simon K, editors. Oxford: Oxford University Press
    • Gilmore CJ. 1993. Maximum entropy, likelihood ranking and the phase problem in single crystal, powder diffraction and electron microscopy. In: Flack HD, Párkányi L, Simon K, editors. Crystallographic computing 6: a window on modern crystallography. Oxford: Oxford University Press. p 25-46.
    • (1993) Crystallographic Computing 6: A Window on Modern Crystallography , vol.6 , pp. 25-46
    • Gilmore, C.J.1
  • 28
    • 0001247090 scopus 로고    scopus 로고
    • Maximum entropy and Bayesian statistics in crystallography: A review of practical applications
    • Gilmore CJ. 1996. Maximum entropy and Bayesian statistics in crystallography: a review of practical applications. Acta Crystallogr A52:561-589.
    • (1996) Acta Crystallogr , vol.A52 , pp. 561-589
    • Gilmore, C.J.1
  • 29
    • 0004304367 scopus 로고
    • Maximum entropy, likelihood and the phase problem in single crystal and powder diffraction
    • Moras D, Podjarny AD, Thierry JC, editors. Oxford: Oxford University Press
    • Gilmore CJ, Bricogne G. 1992. Maximum entropy, likelihood and the phase problem in single crystal and powder diffraction. In: Moras D, Podjarny AD, Thierry JC, editors. Crystallographic computing 5: From chemistry to biology. Oxford: Oxford University Press. p 298-307.
    • (1992) Crystallographic Computing 5: From Chemistry to Biology , vol.5 , pp. 298-307
    • Gilmore, C.J.1    Bricogne, G.2
  • 31
    • 0344183134 scopus 로고
    • The MICE computer program and its applications to direct phase determination for powders, electron diffraction and macromolecules
    • Gilmore CJ, Nicholson WV. 1994. The MICE computer program and its applications to direct phase determination for powders, electron diffraction and macromolecules. Trans Am Crystallogr Assoc 30: 15-27.
    • (1994) Trans Am Crystallogr Assoc , vol.30 , pp. 15-27
    • Gilmore, C.J.1    Nicholson, W.V.2
  • 32
    • 0000175387 scopus 로고
    • A multisolution method of phase determination by combined maximisation of entropy and likelihood. II Application to small molecules
    • Gilmore CJ, Bricogne G, Bannister C. 1990. A multisolution method of phase determination by combined maximisation of entropy and likelihood. II Application to small molecules. Acta Crystallogr A46:297-308.
    • (1990) Acta Crystallogr , vol.A46 , pp. 297-308
    • Gilmore, C.J.1    Bricogne, G.2    Bannister, C.3
  • 33
    • 0027446031 scopus 로고
    • Applications of the maximum entropy method to powder diffraction and electron crystallography
    • Gilmore CJ, Shankland K, Bricogne G. 1993a. Applications of the maximum entropy method to powder diffraction and electron crystallography. Proc R Soc Lond A 442:97-111.
    • (1993) Proc R Soc Lond A , vol.442 , pp. 97-111
    • Gilmore, C.J.1    Shankland, K.2    Bricogne, G.3
  • 34
    • 0027540618 scopus 로고
    • Phase extension in electron crystallography using the maximum entropy method and its application to two-dimensional purple membrane data from halobacterium halobium
    • Gilmore CJ, Shankland K, Fryer JR. 1993b. Phase extension in electron crystallography using the maximum entropy method and its application to two-dimensional purple membrane data from halobacterium halobium. Ultramicroscopy 49:132-146.
    • (1993) Ultramicroscopy , vol.49 , pp. 132-146
    • Gilmore, C.J.1    Shankland, K.2    Fryer, J.R.3
  • 35
    • 0001022524 scopus 로고    scopus 로고
    • Direct methods in protein electron crystallography: The ab initio structure determination of two membrane protein structures using maximum entropy and likelihood
    • Gilmore CJ, Nicholson WV, Dorset DL. 1996. Direct methods in protein electron crystallography: the ab initio structure determination of two membrane protein structures using maximum entropy and likelihood. Acta Crystallogr A52, 937-946.
    • (1996) Acta Crystallogr , vol.A52 , pp. 937-946
    • Gilmore, C.J.1    Nicholson, W.V.2    Dorset, D.L.3
  • 37
    • 0011235329 scopus 로고    scopus 로고
    • mFe derived from three-dimensional electron diffraction data collected by a precession technique. Comparison with convergent-beam diffraction
    • mFe derived from three-dimensional electron diffraction data collected by a precession technique. Comparison with convergent-beam diffraction. Acta Crystallogr A54:306-319.
    • (1998) Acta Crystallogr , vol.A54 , pp. 306-319
    • Gjønnes Hansen, Y.1    Runde, P.2    Cheng, Y.F.3    Gjønnes Dorset, D.L.4    Gilmore, C.J.5
  • 38
    • 0027144770 scopus 로고
    • Projection structure of halorhodopsin from halobacterium halobium at 6Å resolution obtained by electron cryo-microscopy
    • Havelka WA, Henderson R, Heymann JAW, Osterhelt D. 1993. Projection structure of halorhodopsin from Halobacterium halobium at 6Å resolution obtained by electron cryo-microscopy. J Mol Biol 234:837-846.
    • (1993) J Mol Biol , vol.234 , pp. 837-846
    • Havelka, W.A.1    Henderson, R.2    Heymann, J.A.W.3    Osterhelt, D.4
  • 39
    • 0039507411 scopus 로고
    • Structure of purple membrane from Halobacterium Halobium: Recording, measurement and evaluation of electron micrographs at 3.5Å resolution
    • Henderson R, Baldwin JM, Downing KH, Lepault J, Zemlin F. 1986. Structure of purple membrane from Halobacterium Halobium: recording, measurement and evaluation of electron micrographs at 3.5Å resolution. Ultramicroscopy 19:147-178.
    • (1986) Ultramicroscopy , vol.19 , pp. 147-178
    • Henderson, R.1    Baldwin, J.M.2    Downing, K.H.3    Lepault, J.4    Zemlin, F.5
  • 43
    • 0000739975 scopus 로고
    • The distribution of phase angles for structures containing heavy atoms. IIA modification of the normal heavy-atom method for non-centosymmetrical structures
    • Sim GA. 1959. The distribution of phase angles for structures containing heavy atoms. IIA modification of the normal heavy-atom method for non-centosymmetrical structures. Acta Crystallogr 12:813-815.
    • (1959) Acta Crystallogr , vol.12 , pp. 813-815
    • Sim, G.A.1
  • 44
    • 11644283926 scopus 로고
    • Structure analysis of the Si (111) 7 × 7 reconstructed surface by transmission electron diffraction
    • Takayanagi K, Tanishiro Y, Takahashi M, Takahashi S. 1985. Structure analysis of the Si (111) 7 × 7 reconstructed surface by transmission electron diffraction. Surf Sci 164:367-392.
    • (1985) Surf Sci , vol.164 , pp. 367-392
    • Takayanagi, K.1    Tanishiro, Y.2    Takahashi, M.3    Takahashi, S.4
  • 45
    • 0040810500 scopus 로고
    • Localisation of H atoms in the crystal structure of diketopiperazine
    • Vainshtein BK. 1955. Localisation of H atoms in the crystal structure of diketopiperazine. Zh Fiz Kim 29:327-344.
    • (1955) Zh Fiz Kim , vol.29 , pp. 327-344
    • Vainshtein, B.K.1
  • 47
    • 0000064238 scopus 로고
    • Electron diffraction structure analysis
    • Cowley JM, editor. Oxford: Oxford University Press
    • Vainshtein BK, Zvyagin BB, Avilov AS. 1992. Electron diffraction structure analysis. In: Cowley JM, editor. Electron diffraction techniques, vol. 1. Oxford: Oxford University Press. p 213-312.
    • (1992) Electron Diffraction Techniques , vol.1 , pp. 213-312
    • Vainshtein, B.K.1    Zvyagin, B.B.2    Avilov, A.S.3
  • 48
    • 0028624644 scopus 로고
    • The use of maximum entropy and likelihood ranking to determine the crystal structure of 4-(4′-(N,N-dimethyl)aminobenzylidene)-pyrazolidine-3,5-dione at 1.4 Å resolution from electron diffraction and electron microscopy image data
    • Voigt-Martin IG, Yan DH, Gilmore CJ, Shankland K, Bricogne G. 1994. The use of maximum entropy and likelihood ranking to determine the crystal structure of (4-(4′-(N,N-dimethyl)aminobenzylidene)-pyrazolidine-3,5-dione at 1.4 Å resolution from electron diffraction and electron microscopy image data. Ultramicroscopy 56:271-288.
    • (1994) Ultramicroscopy , vol.56 , pp. 271-288
    • Voigt-Martin, I.G.1    Yan, D.H.2    Gilmore, C.J.3    Shankland, K.4    Bricogne, G.5
  • 50
    • 0343471416 scopus 로고    scopus 로고
    • The use of maximum entropy statistics combined with simulation methods to determine the structure of 4-dimethylamino-3-cyanobiphenyl
    • Voigt-Martin IG, Zhang ZX, Kolb U, Gilmore CJ. 1997. The use of maximum entropy statistics combined with simulation methods to determine the structure of 4-dimethylamino-3-cyanobiphenyl. Ultramicroscopy 68:43-59.
    • (1997) Ultramicroscopy , vol.68 , pp. 43-59
    • Voigt-Martin, I.G.1    Zhang, Z.X.2    Kolb, U.3    Gilmore, C.J.4
  • 52
    • 0030199824 scopus 로고    scopus 로고
    • A crystal structure determined with 0.02A accuracy by electron crystalography
    • Weirich T, Ramlau R, Simon A, Zou XD, Hovmöller S. 1996. A crystal structure determined with 0.02A accuracy by electron crystalography. Nature (London) 382:144-146.
    • (1996) Nature (London) , vol.382 , pp. 144-146
    • Weirich, T.1    Ramlau, R.2    Simon, A.3    Zou, X.D.4    Hovmöller, S.5
  • 53
    • 0001503928 scopus 로고
    • Direct methods - From birth to maturity
    • Woolfson MM. 1987. Direct methods - From birth to maturity. Acta Crystallogr A43:593-612.
    • (1987) Acta Crystallogr , vol.A43 , pp. 593-612
    • Woolfson, M.M.1
  • 54
    • 0001285999 scopus 로고
    • Entropy maximisation constrained by solvent flatness: A new method for macromolecular phase extension and map improvement
    • Xiang S, Carter CW, Jr, Bricogne G, Gilmore CJ. 1993. Entropy maximisation constrained by solvent flatness: a new method for macromolecular phase extension and map improvement. Acta Crystallogr D49:193-212.
    • (1993) Acta Crystallogr , vol.D49 , pp. 193-212
    • Xiang, S.1    Carter C.W., Jr.2    Bricogne, G.3    Gilmore, C.J.4


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