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104  MACROMOLECULAR CRYS TALLOGRAPHY

        by conjugate-gradient minimization of the best solu-  by Lewis and colleagues (Chang and Lewis, 1997)
        tions (Jamrog et al., 2003).                 and the other resulted in the popular program EPMR
        • Systematic rotation followed by translation  (Kissinger et al., 1999, 2001). The EPMR program is
        searches, as generated by a script (Sheriff et al., 1999)  now widely used in the crystallographic community
        (see also Protocol 7.6).                     and is especially simple to use (see Protocol 7.4). This
                                                     makes it a very attractive candidate for use in a suite
                                                     of programs integrated in a web site that goes all the
        Alternatively, one might want to search the N-6D
                                                     way from model generation to the refinement of the
        space (alpha, beta, gamma, tx, ty, tz for each one
                                                     final model (Rupp et al., 2002).
        of the N molecules of the asymmetric unit) using
                                                      All these methods exploit the fact that there is no
        stochastic or Monte Carlo methods, as exhaustive
                                                     need to recalculate the structure factors of the model
        searches are out of question. In this case, as all
                                                     each time it is rotated or translated; it is sufficient to
        molecules are searched simultaneously, the problem
                                                     be able to sample the structure factors at the rotated
        of the low signal is less severe than with traditional
                                                     Miller indices, with or without a phase shift com-
        MR methods. However, the process is quite cpu
                                                     ing from the translation, and this can be done quite
        intensive. This has been implemented with success
                                                     effectively by interpolation in reciprocal space (see
        by Glykos and Kokkinidis (Glykos and Kokkinidis,
                                                     Protocol 7.4).
        2000, 2001, 2003), who later included a simulated
        annealing protocol to increase the radius of con-
        vergence of the method (Queen of Spades or Qs  7.8 How to choose the best model
        method).
          Other methods have used genetic algorithms to  Even the best possible MR package will fail if
        search the 6D space: one of them was originated  the model is not good. Hence, a good deal of

          Protocol 7.4 Stochastic search methods
          Use of EPMR (Kissinger et al., 1999, 2001)  TARGET CORR-1
          epmr -m 2 -h 4. -l 12. -n 50 example.cell example.pdb  CYCLES 10
          example.hkl >example.log &                 STEPS 1000000
          where example.cell contains the cell parameters and the  STARTING_T 0.0150
          space group number:                        FINAL_T 0.0050
                                                     INFO 1000
          70.315 80.852 90.31 90. 90. 90. 19
                                                     NOISE_ADDED 0.10
          and the model and X-Ray data are in example.pdb and  RESOLUTION 12.0 4.0
          example.hkl, respectively.                 AMPLIT_CUTOFF 5.0
            The options -l and -h define the low and high resolutions  SIGMA_CUTOFF 0.0
          limits of the data, respectively, while the -m option defines  RANDOM_SELECT 1.0
          the number of molecules to be searched.    FREE 0.10
            The number of different starts is controlled by the -n  MODEL example.pdb
          option.                                    DATA example.hkl
            It is clear from this input lines that EPMR is very easy to  GLOBAL_B 20.0
          use. Indeed, it is the MR package used by Rupp’s  MOLECULES 2
          automated protocol (Rupp et al., (2002). It was successful  SEED 357539
          in finding the solution of 6PGL, using default options.  SCALECELL 4.0
                                                     MAXGRIDSPACING 1.0
          Use of Qs (Glykos and Kokkinidis,          SCMODE wilson
          2000, 2001, 2003)                          INTERPOLATION linear
          Qs example.in >example.log &               CELL 70.315 80.852 90.31 90. 90. 90.
          where example.in will look like this:      GROUP 19
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