Three-Dimensional Reconstruction of Icosahedral Virus by Symmetry-Adapted Functions
LIU Hong-Rong1, YANG Qi-Bin1, CHENG Ling-Peng2, ZENG Song-Jun1, CAI Can-Ying1
1Institute of Modern Physics, Xiangtan University, Xiangtan 411105 \\2School of Bioscience and Bioengineering, South China University of Technology, Guangzhou 510640
Three-Dimensional Reconstruction of Icosahedral Virus by Symmetry-Adapted Functions
LIU Hong-Rong1;YANG Qi-Bin1;CHENG Ling-Peng2;ZENG Song-Jun1;CAI Can-Ying1
1Institute of Modern Physics, Xiangtan University, Xiangtan 411105 \\2School of Bioscience and Bioengineering, South China University of Technology, Guangzhou 510640
摘要A three-dimensional (3D) reconstruction of icosahedral virus is carried out by the icosahedral symmetry-adapted function (ISAF) method in spherical coordinates. In order to reduce the influence of noise, it is better to use the basis functions that have identical symmetry with the object reconstructed. It is verified that the ISAF method has stronger ability to reduce the influence of noise to grain the resolution better than that of the conventional method by the simulation of 3D reconstruction.
Abstract：A three-dimensional (3D) reconstruction of icosahedral virus is carried out by the icosahedral symmetry-adapted function (ISAF) method in spherical coordinates. In order to reduce the influence of noise, it is better to use the basis functions that have identical symmetry with the object reconstructed. It is verified that the ISAF method has stronger ability to reduce the influence of noise to grain the resolution better than that of the conventional method by the simulation of 3D reconstruction.
[1] Crowther R A 1971 Philos. Trans. R. Soc. London B 261 221 [2] Crowther R A, Derosier D J and Klug A 1970 Proc. R.Soc. London A 317 319 [3] B\"ottcher B, Wynne S A and Crowther R A 1997 Nature 386 88 [4] Conway J F, Cheng N, Zlotnick A, Wingfield P T, Stahl SJ and Steven A C 1997 Nature 386 91 [5] Stewart P L, Chiu C Y, Haley D A, Kong L B andSchlessman J L 1999 J. Strut. Biol. 128 58 [6] Baker T S, Olson N H and Fuller S D 1999 Microbiol.Mol. Biol. Rev. 862 [7] Glaeser R M 1999 J. Struct. Biol. 128 3 [8] Thuman-Commike P A and Chiu W 2000 Micron 31687 [9] Zhou Z H and Chiu W 2003 Adv. Protein Chem. 64 93 [10] Jiang W and Ludtke S J 2005 Current Opinion inStructural Biology 15 571 [11] Provencher S W and Vogel R H 1988 Ultranmicroscopy 25 209 [12] Navaza J 2003 J. Struct. Biol. 144 13 [13] Bradley C J and Cracknell A P 1972 Symmetry-adapted Functions for the Point Groups: The MathematicalTheory of Symmetry in Solid (Oxford: Clarendon) [14] Mart\'\i nez-Torres E, L\'opez-Gonz\'alez J J,Fern\'andez-G\'omez M 1993 Comput. Math. Appl. 26 67 [15] Prandl W, Schiebel P and Wulf K 1996 Acta Cryst.A 52 171 [16] Fan P D, Chen J Q and Draayer J P 1999 ActaCryst. A 55 871 [17] Schmidt B and \v Zd\'ansk\'a P 2000 Comput. Phys.Commun. 127 290 [18] Jackson J D 1975 Classical Electrondynamics 2ndedn (New York: Wiley) [19] Abramowitz M and Stegun I A 1965 Handbook ofMathematical Functions (New York: Dover) [20] Hadfield A T, Lee W. Zhao R, Oliveira M A, Minor I,Rueckert R R and Rossmann M G 1997 Structure 5 427 [21] Liang Y, Ke E Y and Zhou Z H 2002 J. Struct.Biol. 137 292 [22] Ludtke S J, Baldwin P R and Chiu W 1999 J. Struct.Biol. 128 82 [23] Hu J J and Li F H 1991 Ultramicroscopy 35339 [24] Henderson R 1995 Quarterly Rev. Biophys. 28171 [25] Crowther R A 2004 Notes Rec. R. Soc. London 58 65 [26] Full S D 1987 Cell 48 923 [27] Crowther R A, Kiselev N A, B\"ottcher B, Berriman J A,Borisova G P, Ose V and Pumpens P 1994 Cell 77 943 [28] Fuller S D, Butcher S J, Cheng R H and Baker T S 1996 J. Strut. Biol. 116 48 [29] Baker T S and Cheng R H 1996 J. Strut. Biol. 116 120 [30] Thuman-Commike P A and Chiu W 1997 Ultramicroscopy 68 231
2007, Vol. 24 
