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| Results for DC.creator="F." AND DC.creator="M." AND DC.creator="Richards" in section 22.1.2 of volume F page 1 of 2 pages. |
Definitions of protein volume
International Tables for Crystallography (2012). Vol. F, Section 22.1.2, pp. 703-706 [ doi:10.1107/97809553602060000885 ]
... others. In 1974, a solution was found to this problem (Richards, 1974), and since then Voronoi polyhedra have been applied to ... proposed to make the partition more physically reasonable: method B (Richards, 1974) and the radical-plane method (Gellatly & Finney, 1982). ... spheres. Discuss. Faraday Soc. 43, 62-69. Edelsbrunner, H., Facello, M. & Liang, J. (1996). On the Definition and Construction ...
Radical-plane method
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3.4, p. 705 [ doi:10.1107/97809553602060000885 ]
... according to References International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 705 © International Union of Crystallography 2012 | home ...
`Chopping-down' method of finding vertices
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3.3, p. 705 [ doi:10.1107/97809553602060000885 ]
... given by References International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 705 © International Union of Crystallography 2012 | home ...
Vertex error
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3.2, p. 705 [ doi:10.1107/97809553602060000885 ]
... part in 500 (Gerstein et al., 1995). References Gerstein, M., Tsai, J. & Levitt, M. (1995). The volume of atoms on the protein surface ... 249, 955-966. International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 705 © International Union of Crystallography 2012 | ...
Method B and a simplification of it: the ratio method
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3.1, pp. 704-705 [ doi:10.1107/97809553602060000885 ]
... about the mean). References Tsai, J., Voss, N. & Gerstein, M. (2001). Voronoi calculations of protein volumes: sensitivity analysis and ... In the press. International Tables for Crystallography (2012). Vol. F, ch. 22.1, pp. 704-705 © International Union of Crystallography 2012 ...
Adapting Voronoi polyhedra to proteins
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3, pp. 704-705 [ doi:10.1107/97809553602060000885 ]
... proposed to make the partition more physically reasonable: method B (Richards, 1974) and the radical-plane method (Gellatly & Finney, 1982). ... the Voronoi procedure. J. Mol. Biol. 161, 305-322. Gerstein, M., Tsai, J. & Levitt, M. (1995). The volume of atoms on the protein ...
Collecting vertices and calculating volumes
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.2.3, p. 704 [ doi:10.1107/97809553602060000885 ]
... the face. References International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 704 © International Union of Crystallography 2012 | home ...
Finding polyhedron vertices
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.2.2, p. 704 [ doi:10.1107/97809553602060000885 ]
... 42, 151-152. International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 704 © International Union of Crystallography 2012 | home ...
Integrating on a grid
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.2.1, pp. 703-704 [ doi:10.1107/97809553602060000885 ]
... 216, 813-818. International Tables for Crystallography (2012). Vol. F, ch. 22.1, pp. 703-704 © International Union of Crystallography 2012 ...
The basic Voronoi construction
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.2, pp. 703-704 [ doi:10.1107/97809553602060000885 ]
... 216, 813-818. International Tables for Crystallography (2012). Vol. F, ch. 22.1, pp. 703-704 © International Union of Crystallography 2012 ...
International Tables for Crystallography (2012). Vol. F, Section 22.1.2, pp. 703-706 [ doi:10.1107/97809553602060000885 ]
... others. In 1974, a solution was found to this problem (Richards, 1974), and since then Voronoi polyhedra have been applied to ... proposed to make the partition more physically reasonable: method B (Richards, 1974) and the radical-plane method (Gellatly & Finney, 1982). ... spheres. Discuss. Faraday Soc. 43, 62-69. Edelsbrunner, H., Facello, M. & Liang, J. (1996). On the Definition and Construction ...
Radical-plane method
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3.4, p. 705 [ doi:10.1107/97809553602060000885 ]
... according to References International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 705 © International Union of Crystallography 2012 | home ...
`Chopping-down' method of finding vertices
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3.3, p. 705 [ doi:10.1107/97809553602060000885 ]
... given by References International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 705 © International Union of Crystallography 2012 | home ...
Vertex error
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3.2, p. 705 [ doi:10.1107/97809553602060000885 ]
... part in 500 (Gerstein et al., 1995). References Gerstein, M., Tsai, J. & Levitt, M. (1995). The volume of atoms on the protein surface ... 249, 955-966. International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 705 © International Union of Crystallography 2012 | ...
Method B and a simplification of it: the ratio method
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3.1, pp. 704-705 [ doi:10.1107/97809553602060000885 ]
... about the mean). References Tsai, J., Voss, N. & Gerstein, M. (2001). Voronoi calculations of protein volumes: sensitivity analysis and ... In the press. International Tables for Crystallography (2012). Vol. F, ch. 22.1, pp. 704-705 © International Union of Crystallography 2012 ...
Adapting Voronoi polyhedra to proteins
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.3, pp. 704-705 [ doi:10.1107/97809553602060000885 ]
... proposed to make the partition more physically reasonable: method B (Richards, 1974) and the radical-plane method (Gellatly & Finney, 1982). ... the Voronoi procedure. J. Mol. Biol. 161, 305-322. Gerstein, M., Tsai, J. & Levitt, M. (1995). The volume of atoms on the protein ...
Collecting vertices and calculating volumes
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.2.3, p. 704 [ doi:10.1107/97809553602060000885 ]
... the face. References International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 704 © International Union of Crystallography 2012 | home ...
Finding polyhedron vertices
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.2.2, p. 704 [ doi:10.1107/97809553602060000885 ]
... 42, 151-152. International Tables for Crystallography (2012). Vol. F, ch. 22.1, p. 704 © International Union of Crystallography 2012 | home ...
Integrating on a grid
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.2.1, pp. 703-704 [ doi:10.1107/97809553602060000885 ]
... 216, 813-818. International Tables for Crystallography (2012). Vol. F, ch. 22.1, pp. 703-704 © International Union of Crystallography 2012 ...
The basic Voronoi construction
International Tables for Crystallography (2012). Vol. F, Section 22.1.2.2, pp. 703-704 [ doi:10.1107/97809553602060000885 ]
... 216, 813-818. International Tables for Crystallography (2012). Vol. F, ch. 22.1, pp. 703-704 © International Union of Crystallography 2012 ...
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